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A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 4 inhabitants: Daniel, Alexander, Mia, and Victoria. In Daniel's words: "Mia is an angel". In a statement by Alexander: "Mia is a devil". Mia commented, "(Alexander is an angel or Daniel is an ang...
Daniel is an angel, Alexander is a devil, Mia is an angel, and Victoria is an angel.
{"source_dataset": "knights_knaves", "source_index": 21900, "statements": [["telling-truth", 2], ["not", ["telling-truth", 2]], ["and", ["or", ["telling-truth", 1], ["telling-truth", 0], ["lying", 1]], ["->", ["lying", 0], ["telling-truth", 3]]], ["or", ["not", ["telling-truth", 1]], ["not", ["telling-truth", 2]], ["<=...
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 4 inhabitants: Jackson, Zoey, Abigail, and William. Jackson asserted: "Abigail is an egoist". Zoey asserted: "if (William is an egoist) then (if Jackson is an altruist then Zoey is an altr...
Jackson is an altruist, Zoey is an altruist, Abigail is an egoist, and William is an egoist.
{"source_dataset": "knights_knaves", "source_index": 21901, "statements": [["lying", 2], ["->", ["not", ["telling-truth", 3]], ["->", ["telling-truth", 0], ["telling-truth", 1]]], ["<=>", ["or", ["telling-truth", 1], ["telling-truth", 2]], ["<=>", ["lying", 0], ["telling-truth", 0]]], ["not", ["<=>", ["telling-truth", ...
A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 4 inhabitants: Chloe, Grace, Ella, and Owen. Chloe remarked, "(Owen is a fool or Ella is a sage) and (Grace is a sage and Chloe is a sage and Ella is a fool)". According to Grace, "(Chloe is a sage an...
Chloe is a fool, Grace is a fool, Ella is a fool, and Owen is a fool.
{"source_dataset": "knights_knaves", "source_index": 21902, "statements": [["and", ["or", ["lying", 3], ["telling-truth", 2]], ["and", ["telling-truth", 1], ["telling-truth", 0], ["lying", 2]]], ["<=>", ["and", ["telling-truth", 0], ["lying", 3], ["lying", 0]], ["lying", 0]], ["and", ["->", ["lying", 0], ["telling-trut...
A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Olivia, Samuel, Zoey, and Emily. Olivia noted, "it is not the case that (Samuel is a hero)". Samuel expressed that it is not the case that (Emily is a villain or Emily is a hero)....
Olivia is a hero, Samuel is a villain, Zoey is a hero, and Emily is a hero.
{"source_dataset": "knights_knaves", "source_index": 21903, "statements": [["not", ["not", ["lying", 1]]], ["not", ["or", ["lying", 3], ["telling-truth", 3]]], ["or", ["->", ["telling-truth", 0], ["lying", 1]], ["or", ["lying", 0], ["telling-truth", 3]]], ["or", ["or", ["telling-truth", 1], ["telling-truth", 2]], ["->"...
A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 4 inhabitants: Isabella, Aiden, Jacob, and Sebastian. Isabella commented, "(Isabella is an angel and Aiden is an angel) and (Sebastian is an angel or Sebastian is a devil)". "Jacob is an angel," A...
Isabella is a devil, Aiden is a devil, Jacob is a devil, and Sebastian is a devil.
{"source_dataset": "knights_knaves", "source_index": 21904, "statements": [["and", ["and", ["telling-truth", 0], ["telling-truth", 1]], ["or", ["telling-truth", 3], ["lying", 3]]], ["telling-truth", 2], ["not", ["->", ["lying", 1], ["lying", 3]]], ["not", ["->", ["telling-truth", 0], ["telling-truth", 2]]]], "solution"...
A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 4 inhabitants: Emma, Avery, Ethan, and Evelyn. Emma noted, "Ethan is a sage". Avery stated, "Emma is a sage". Ethan was heard saying, "(Avery is a fool) or (Avery is a fool if and only if Evelyn is a ...
Emma is a sage, Avery is a sage, Ethan is a sage, and Evelyn is a fool.
{"source_dataset": "knights_knaves", "source_index": 21905, "statements": [["telling-truth", 2], ["telling-truth", 0], ["or", ["not", ["telling-truth", 1]], ["<=>", ["lying", 1], ["telling-truth", 3]]], ["and", ["<=>", ["telling-truth", 3], ["lying", 1]], ["lying", 2], ["telling-truth", 1]]], "solution": [true, true, t...
A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 4 inhabitants: Jack, Sofia, James, and Evelyn. "if (Jack is a pioneer or Sofia is a pioneer) then (if Sofia is a pioneer then Sofia is a laggard)," Jack claimed. Sofia said that (Evelyn is...
Jack is a pioneer, Sofia is a laggard, James is a pioneer, and Evelyn is a laggard.
{"source_dataset": "knights_knaves", "source_index": 21906, "statements": [["->", ["or", ["telling-truth", 0], ["telling-truth", 1]], ["->", ["telling-truth", 1], ["lying", 1]]], ["<=>", ["or", ["telling-truth", 3], ["telling-truth", 0], ["lying", 3]], ["and", ["lying", 2], ["telling-truth", 0], ["lying", 3]]], ["telli...
A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 4 inhabitants: Sebastian, Sophia, Amelia, and Alexander. "it is not the case that (Sebastian is a saint or Amelia is a sinner or Sophia is a sinner)," Sebastian claimed. Sophia said that if Amel...
Sebastian is a sinner, Sophia is a sinner, Amelia is a sinner, and Alexander is a saint.
{"source_dataset": "knights_knaves", "source_index": 21907, "statements": [["not", ["or", ["telling-truth", 0], ["lying", 2], ["lying", 1]]], ["->", ["lying", 2], ["and", ["lying", 3], ["lying", 2], ["telling-truth", 3]]], ["or", ["not", ["lying", 1]], ["telling-truth", 0]], ["->", ["and", ["lying", 0], ["telling-truth...
A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 4 inhabitants: Sophia, Aiden, Logan, and Ava. Sophia stated, "if (Aiden is a fool and Logan is a sage) then (Aiden is a fool if and only if Sophia is a sage)". Aiden remarked, "(Aiden is a sage or Ava...
Sophia is a sage, Aiden is a fool, Logan is a fool, and Ava is a sage.
{"source_dataset": "knights_knaves", "source_index": 21908, "statements": [["->", ["and", ["lying", 1], ["telling-truth", 2]], ["<=>", ["lying", 1], ["telling-truth", 0]]], ["and", ["or", ["telling-truth", 1], ["lying", 3]], ["not", ["lying", 2]]], ["not", ["not", ["lying", 3]]], ["or", ["<=>", ["telling-truth", 0], ["...
A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 4 inhabitants: Oliver, Noah, Grace, and Joseph. "(if Oliver is an angel then Joseph is a devil) and Noah is an angel and Grace is an angel," Oliver claimed. "if (Joseph is a devil and Oliver is an...
Oliver is a devil, Noah is an angel, Grace is a devil, and Joseph is an angel.
{"source_dataset": "knights_knaves", "source_index": 21909, "statements": [["and", ["->", ["telling-truth", 0], ["lying", 3]], ["telling-truth", 1], ["telling-truth", 2]], ["->", ["and", ["lying", 3], ["telling-truth", 0]], ["<=>", ["telling-truth", 1], ["lying", 0]]], ["lying", 3], ["lying", 0]], "solution": [false, t...
A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 4 inhabitants: Logan, Sofia, David, and Chloe. According to Logan, "David is a fool". "it is not the case that (Logan is a fool and David is a sage and Sofia is a sage)," Sofia claimed. David noted, "...
Logan is a sage, Sofia is a sage, David is a fool, and Chloe is a fool.
{"source_dataset": "knights_knaves", "source_index": 21910, "statements": [["lying", 2], ["not", ["and", ["lying", 0], ["telling-truth", 2], ["telling-truth", 1]]], ["and", ["<=>", ["lying", 1], ["lying", 3]], ["lying", 3]], ["and", ["telling-truth", 2], ["lying", 2], ["and", ["telling-truth", 3], ["telling-truth", 0]]...
A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 4 inhabitants: Aiden, Riley, Scarlett, and Emily. Aiden was heard saying, "(if Scarlett is a pioneer then Emily is a pioneer) and (Aiden is a pioneer if and only if Riley is a pioneer)". R...
Aiden is a pioneer, Riley is a pioneer, Scarlett is a laggard, and Emily is a pioneer.
{"source_dataset": "knights_knaves", "source_index": 21911, "statements": [["and", ["->", ["telling-truth", 2], ["telling-truth", 3]], ["<=>", ["telling-truth", 0], ["telling-truth", 1]]], ["telling-truth", 0], ["and", ["telling-truth", 2], ["telling-truth", 0], ["<=>", ["lying", 1], ["telling-truth", 0]]], ["<=>", ["-...
A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 4 inhabitants: Oliver, Henry, Scarlett, and Luke. "(Henry is a pioneer if and only if Scarlett is a pioneer) and (Henry is a pioneer) and (if Luke is a laggard then Henry is a laggard)," O...
Oliver is a laggard, Henry is a laggard, Scarlett is a laggard, and Luke is a laggard.
{"source_dataset": "knights_knaves", "source_index": 21912, "statements": [["and", ["<=>", ["telling-truth", 1], ["telling-truth", 2]], ["not", ["lying", 1]], ["->", ["lying", 3], ["lying", 1]]], ["<=>", ["and", ["lying", 3], ["lying", 0]], ["and", ["telling-truth", 1], ["lying", 0], ["lying", 3]]], ["<=>", ["not", ["t...
A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 4 inhabitants: Matthew, Owen, James, and Sophia. Matthew stated, "if Owen is a fool then (James is a fool)". Owen commented, "(Sophia is a fool or James is a sage or Matthew is a fool) if and only if ...
Matthew is a sage, Owen is a sage, James is a sage, and Sophia is a sage.
{"source_dataset": "knights_knaves", "source_index": 21913, "statements": [["->", ["lying", 1], ["not", ["telling-truth", 2]]], ["<=>", ["or", ["lying", 3], ["telling-truth", 2], ["lying", 0]], ["or", ["telling-truth", 1], ["telling-truth", 2], ["lying", 2]]], ["not", ["<=>", ["lying", 3], ["telling-truth", 0]]], ["or"...
A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 4 inhabitants: Zoey, Michael, Scarlett, and Evelyn. Zoey remarked, "Scarlett is a devil". Michael noted, "(Zoey is a devil if and only if Michael is an angel) or (Scarlett is an angel) or (if Zoey...
Zoey is a devil, Michael is an angel, Scarlett is an angel, and Evelyn is an angel.
{"source_dataset": "knights_knaves", "source_index": 21914, "statements": [["lying", 2], ["or", ["<=>", ["lying", 0], ["telling-truth", 1]], ["not", ["lying", 2]], ["->", ["lying", 0], ["telling-truth", 1]]], ["telling-truth", 3], ["or", ["or", ["telling-truth", 3], ["telling-truth", 1], ["lying", 0]], ["<=>", ["tellin...
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Liam, Abigail, Amelia, and Aiden. "if (Amelia is a knight if and only if Abigail is a knight) then (if Aiden is a knight then Amelia is a knight)," Liam mentioned. Abigail noted, ...
Liam is a knight, Abigail is a knave, Amelia is a knight, and Aiden is a knight.
{"source_dataset": "knights_knaves", "source_index": 21915, "statements": [["->", ["<=>", ["telling-truth", 2], ["telling-truth", 1]], ["->", ["telling-truth", 3], ["telling-truth", 2]]], ["and", ["->", ["telling-truth", 3], ["lying", 3]], ["->", ["lying", 0], ["telling-truth", 2]]], ["->", ["->", ["lying", 0], ["lying...
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Aurora, Lucas, Matthew, and Sofia. Aurora expressed that it is not the case that (Matthew is a knave). According to Lucas, "Sofia is a knight if and only if (Sofia is a knight)". ...
Aurora is a knight, Lucas is a knight, Matthew is a knight, and Sofia is a knave.
{"source_dataset": "knights_knaves", "source_index": 21916, "statements": [["not", ["not", ["telling-truth", 2]]], ["<=>", ["telling-truth", 3], ["not", ["lying", 3]]], ["or", ["or", ["lying", 1], ["telling-truth", 3], ["telling-truth", 1]], ["telling-truth", 1], ["not", ["lying", 1]]], ["not", ["or", ["lying", 0], ["t...
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Sophia, Ava, Scarlett, and Amelia. Sophia commented, "it is not the case that (Sophia is a knight or Scarlett is a knave)". Ava expressed that Scarlett is a knight. In Scarlett's ...
Sophia is a knave, Ava is a knave, Scarlett is a knave, and Amelia is a knight.
{"source_dataset": "knights_knaves", "source_index": 21917, "statements": [["not", ["or", ["telling-truth", 0], ["lying", 2]]], ["not", ["lying", 2]], ["telling-truth", 2], ["and", ["lying", 2], ["and", ["lying", 1], ["lying", 0]], ["<=>", ["telling-truth", 2], ["telling-truth", 0]]]], "solution": [false, false, false,...
A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 4 inhabitants: William, Riley, Sofia, and Sophia. William said, "(Sophia is a laggard and Riley is a laggard and Riley is a pioneer) or (Sofia is a pioneer or Sophia is a laggard) or (if S...
William is a pioneer, Riley is a pioneer, Sofia is a laggard, and Sophia is a pioneer.
{"source_dataset": "knights_knaves", "source_index": 21918, "statements": [["or", ["and", ["lying", 3], ["lying", 1], ["telling-truth", 1]], ["or", ["telling-truth", 2], ["lying", 3]], ["->", ["telling-truth", 3], ["telling-truth", 1]]], ["->", ["lying", 2], ["or", ["telling-truth", 3], ["lying", 0]]], ["lying", 0], ["...
A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 4 inhabitants: Evelyn, David, Amelia, and Sophia. Evelyn noted, "(Amelia is a pioneer or David is a pioneer or Evelyn is a pioneer) or (Amelia is a pioneer if and only if Amelia is a lagga...
Evelyn is a pioneer, David is a pioneer, Amelia is a pioneer, and Sophia is a laggard.
{"source_dataset": "knights_knaves", "source_index": 21919, "statements": [["or", ["or", ["telling-truth", 2], ["telling-truth", 1], ["telling-truth", 0]], ["<=>", ["telling-truth", 2], ["lying", 2]], ["not", ["telling-truth", 2]]], ["not", ["and", ["telling-truth", 2], ["lying", 0], ["telling-truth", 0]]], ["telling-t...
A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Matthew, Penelope, Sofia, and Chloe. Matthew remarked, "it is not the case that (Penelope is a hero if and only if Penelope is a villain)". "Chloe is a villain," Penelope claimed....
Matthew is a hero, Penelope is a villain, Sofia is a hero, and Chloe is a hero.
{"source_dataset": "knights_knaves", "source_index": 21920, "statements": [["not", ["<=>", ["telling-truth", 1], ["lying", 1]]], ["lying", 3], ["not", ["lying", 3]], ["<=>", ["and", ["telling-truth", 2], ["lying", 2]], ["<=>", ["lying", 1], ["lying", 2]]]], "solution": [true, false, true, true], "names": ["Matthew", "P...
A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 4 inhabitants: Lucas, Avery, Isabella, and Noah. In a statement by Lucas: "(if Avery is a devil then Noah is a devil) if and only if (Avery is a devil and Noah is an angel)". Avery said that if (L...
Lucas is a devil, Avery is an angel, Isabella is a devil, and Noah is an angel.
{"source_dataset": "knights_knaves", "source_index": 21921, "statements": [["<=>", ["->", ["lying", 1], ["lying", 3]], ["and", ["lying", 1], ["telling-truth", 3]]], ["->", ["<=>", ["lying", 0], ["telling-truth", 0]], ["or", ["telling-truth", 1], ["lying", 2]]], ["lying", 3], ["or", ["<=>", ["lying", 1], ["telling-truth...
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 4 inhabitants: Sophia, Mia, Liam, and James. Sophia commented, "(Liam is an altruist or James is an altruist) or (Liam is an altruist and Liam is an egoist)". According to Mia, "(Liam is a...
Sophia is an altruist, Mia is an altruist, Liam is an egoist, and James is an altruist.
{"source_dataset": "knights_knaves", "source_index": 21922, "statements": [["or", ["or", ["telling-truth", 2], ["telling-truth", 3]], ["and", ["telling-truth", 2], ["lying", 2]]], ["or", ["and", ["telling-truth", 2], ["telling-truth", 1]], ["or", ["lying", 2], ["lying", 0]]], ["and", ["lying", 3], ["telling-truth", 3],...
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 4 inhabitants: Isabella, Benjamin, Amelia, and Jack. "(Amelia is an egoist or Benjamin is an altruist or Jack is an altruist) and (Isabella is an altruist if and only if Benjamin is an ego...
Isabella is an egoist, Benjamin is an altruist, Amelia is an altruist, and Jack is an altruist.
{"source_dataset": "knights_knaves", "source_index": 21923, "statements": [["and", ["or", ["lying", 2], ["telling-truth", 1], ["telling-truth", 3]], ["<=>", ["telling-truth", 0], ["lying", 1]], ["->", ["telling-truth", 1], ["lying", 3]]], ["not", ["not", ["telling-truth", 2]]], ["telling-truth", 2], ["not", ["and", ["l...
A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 4 inhabitants: Emma, Alexander, Scarlett, and Sofia. Emma said, "(Emma is a sage if and only if Alexander is a sage) or (if Sofia is a fool then Emma is a sage)." Alexander noted, "Sofia is a sage". A...
Emma is a sage, Alexander is a sage, Scarlett is a sage, and Sofia is a sage.
{"source_dataset": "knights_knaves", "source_index": 21924, "statements": [["or", ["<=>", ["telling-truth", 0], ["telling-truth", 1]], ["->", ["lying", 3], ["telling-truth", 0]]], ["not", ["lying", 3]], ["not", ["and", ["telling-truth", 2], ["lying", 3], ["telling-truth", 1]]], ["or", ["->", ["telling-truth", 0], ["tel...
A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 4 inhabitants: Liam, Chloe, Michael, and Matthew. Liam was heard saying, "if (Michael is a saint) then (Matthew is a saint and Matthew is a sinner)". According to Chloe, "Michael is a sinner". "...
Liam is a sinner, Chloe is a sinner, Michael is a saint, and Matthew is a saint.
{"source_dataset": "knights_knaves", "source_index": 21925, "statements": [["->", ["not", ["lying", 2]], ["and", ["telling-truth", 3], ["lying", 3]]], ["lying", 2], ["->", ["->", ["lying", 0], ["lying", 3]], ["or", ["telling-truth", 0], ["lying", 1], ["telling-truth", 2]]], ["lying", 1]], "solution": [false, false, tru...
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Victoria, Logan, Riley, and Ella. Victoria said that Logan is a knight. Logan was heard saying, "Riley is a knave". "(Logan is a knight if and only if Logan is a knave) if and onl...
Victoria is a knave, Logan is a knave, Riley is a knight, and Ella is a knight.
{"source_dataset": "knights_knaves", "source_index": 21926, "statements": [["telling-truth", 1], ["not", ["telling-truth", 2]], ["<=>", ["<=>", ["telling-truth", 1], ["lying", 1]], ["<=>", ["telling-truth", 0], ["lying", 0]]], ["<=>", ["or", ["lying", 0], ["telling-truth", 3], ["telling-truth", 0]], ["lying", 0]]], "so...
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Olivia, Mia, Aurora, and Victoria. "(Olivia is a knight or Aurora is a knave or Mia is a knave) or Mia is a knave," Olivia declared. In Mia's words: "it is not the case that (Mia ...
Olivia is a knight, Mia is a knave, Aurora is a knave, and Victoria is a knight.
{"source_dataset": "knights_knaves", "source_index": 21927, "statements": [["or", ["or", ["telling-truth", 0], ["lying", 2], ["lying", 1]], ["lying", 1]], ["not", ["or", ["telling-truth", 1], ["telling-truth", 3]]], ["and", ["and", ["telling-truth", 0], ["lying", 1], ["lying", 3]], ["telling-truth", 2], ["and", ["lying...
A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 4 inhabitants: Ethan, Alexander, Logan, and Abigail. Ethan remarked, "it is not the case that (if Alexander is an angel then Logan is an angel)". According to Alexander, "Ethan is a devil". Logan ...
Ethan is a devil, Alexander is an angel, Logan is an angel, and Abigail is an angel.
{"source_dataset": "knights_knaves", "source_index": 21928, "statements": [["not", ["->", ["telling-truth", 1], ["telling-truth", 2]]], ["lying", 0], ["lying", 0], ["or", ["<=>", ["lying", 1], ["lying", 2]], ["and", ["telling-truth", 3], ["telling-truth", 0]]]], "solution": [false, true, true, true], "names": ["Ethan",...
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Ethan, Zoey, Jackson, and Penelope. "it is not the case that (if Penelope is a knave then Ethan is a knight)" - Ethan. In a statement by Zoey: "(Ethan is a knight if and only if J...
Ethan is a knave, Zoey is a knight, Jackson is a knave, and Penelope is a knight.
{"source_dataset": "knights_knaves", "source_index": 21929, "statements": [["not", ["->", ["lying", 3], ["telling-truth", 0]]], ["and", ["<=>", ["telling-truth", 0], ["telling-truth", 2]], ["or", ["telling-truth", 2], ["telling-truth", 1], ["lying", 2]], ["or", ["telling-truth", 3], ["lying", 0]]], ["lying", 3], ["->",...
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 4 inhabitants: Olivia, Victoria, Mason, and Riley. Olivia commented, "(Mason is an egoist and Riley is an altruist) and (if Mason is an egoist then Mason is an altruist) and (if Riley is a...
Olivia is an egoist, Victoria is an egoist, Mason is an egoist, and Riley is an altruist.
{"source_dataset": "knights_knaves", "source_index": 21930, "statements": [["and", ["and", ["lying", 2], ["telling-truth", 3]], ["->", ["lying", 2], ["telling-truth", 2]], ["->", ["telling-truth", 3], ["telling-truth", 2]]], ["telling-truth", 2], ["and", ["<=>", ["telling-truth", 2], ["telling-truth", 0]], ["and", ["ly...
A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 4 inhabitants: Lucas, Jack, Mason, and Lily. "(Mason is an angel or Lucas is an angel or Mason is a devil) if and only if Jack is an angel" - Lucas. Jack said, "(Jack is a devil) and (Mason is an ...
Lucas is a devil, Jack is a devil, Mason is an angel, and Lily is an angel.
{"source_dataset": "knights_knaves", "source_index": 21931, "statements": [["<=>", ["or", ["telling-truth", 2], ["telling-truth", 0], ["lying", 2]], ["telling-truth", 1]], ["and", ["not", ["telling-truth", 1]], ["<=>", ["telling-truth", 2], ["telling-truth", 1]], ["<=>", ["lying", 0], ["telling-truth", 1]]], ["lying", ...
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Lily, Sofia, Benjamin, and Ethan. Lily remarked, "(Lily is a knight and Sofia is a knight and Benjamin is a knave) if and only if (Sofia is a knave or Sofia is a knight or Ethan i...
Lily is a knave, Sofia is a knight, Benjamin is a knight, and Ethan is a knight.
{"source_dataset": "knights_knaves", "source_index": 21932, "statements": [["<=>", ["and", ["telling-truth", 0], ["telling-truth", 1], ["lying", 2]], ["or", ["lying", 1], ["telling-truth", 1], ["telling-truth", 3]]], ["->", ["->", ["telling-truth", 0], ["telling-truth", 3]], ["->", ["telling-truth", 0], ["lying", 2]]],...
A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 4 inhabitants: Chloe, Isabella, Aurora, and David. "(Isabella is a pioneer) or (Aurora is a laggard or Chloe is a pioneer or Aurora is a pioneer) or (David is a pioneer and Aurora is a pio...
Chloe is a pioneer, Isabella is a laggard, Aurora is a pioneer, and David is a pioneer.
{"source_dataset": "knights_knaves", "source_index": 21933, "statements": [["or", ["not", ["lying", 1]], ["or", ["lying", 2], ["telling-truth", 0], ["telling-truth", 2]], ["and", ["telling-truth", 3], ["telling-truth", 2], ["lying", 2]]], ["<=>", ["telling-truth", 3], ["and", ["telling-truth", 0], ["lying", 3]]], ["->"...
A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Henry, Logan, Matthew, and Avery. "Avery is a hero if and only if (Logan is a hero and Logan is a villain)" - Henry. Logan was heard saying, "if (Henry is a hero) then (Logan is a...
Henry is a villain, Logan is a hero, Matthew is a villain, and Avery is a hero.
{"source_dataset": "knights_knaves", "source_index": 21934, "statements": [["<=>", ["telling-truth", 3], ["and", ["telling-truth", 1], ["lying", 1]]], ["->", ["not", ["lying", 0]], ["or", ["telling-truth", 1], ["telling-truth", 2], ["telling-truth", 3]]], ["or", ["or", ["telling-truth", 0], ["telling-truth", 2]], ["lyi...
A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 4 inhabitants: Oliver, Lily, Joseph, and Mason. As Oliver put it, "(Lily is a sage and Mason is a sage and Oliver is a sage) and (Joseph is a fool) and (Joseph is a sage if and only if Joseph is a foo...
Oliver is a fool, Lily is a sage, Joseph is a fool, and Mason is a sage.
{"source_dataset": "knights_knaves", "source_index": 21935, "statements": [["and", ["and", ["telling-truth", 1], ["telling-truth", 3], ["telling-truth", 0]], ["not", ["telling-truth", 2]], ["<=>", ["telling-truth", 2], ["lying", 2]]], ["<=>", ["not", ["telling-truth", 3]], ["<=>", ["lying", 3], ["telling-truth", 3]]], ...
A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 4 inhabitants: Amelia, Henry, Mason, and James. Amelia remarked, "it is not the case that (if James is a laggard then Amelia is a pioneer)". As Henry put it, "(if Amelia is a laggard then ...
Amelia is a laggard, Henry is a pioneer, Mason is a pioneer, and James is a pioneer.
{"source_dataset": "knights_knaves", "source_index": 21936, "statements": [["not", ["->", ["lying", 3], ["telling-truth", 0]]], ["<=>", ["->", ["lying", 0], ["lying", 3]], ["<=>", ["telling-truth", 1], ["lying", 3]]], ["or", ["<=>", ["lying", 0], ["telling-truth", 2]], ["not", ["telling-truth", 0]], ["telling-truth", 0...
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 4 inhabitants: Logan, Henry, Luke, and Riley. In a statement by Logan: "if (Riley is an egoist or Henry is an altruist) then (Luke is an egoist and Henry is an altruist)". According to Hen...
Logan is an altruist, Henry is an egoist, Luke is an egoist, and Riley is an altruist.
{"source_dataset": "knights_knaves", "source_index": 21937, "statements": [["->", ["or", ["lying", 3], ["telling-truth", 1]], ["and", ["lying", 2], ["telling-truth", 1]]], ["or", ["and", ["telling-truth", 2], ["lying", 3], ["telling-truth", 1]], ["and", ["lying", 3], ["telling-truth", 3], ["telling-truth", 2]]], ["not"...
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 4 inhabitants: Lily, Grace, Jackson, and Emma. Lily expressed that (Lily is an altruist if and only if Emma is an egoist) if and only if (Grace is an altruist). According to Grace, "Lily i...
Lily is an egoist, Grace is an egoist, Jackson is an altruist, and Emma is an altruist.
{"source_dataset": "knights_knaves", "source_index": 21938, "statements": [["<=>", ["<=>", ["telling-truth", 0], ["lying", 3]], ["not", ["lying", 1]]], ["telling-truth", 0], ["not", ["lying", 3]], ["or", ["->", ["telling-truth", 0], ["telling-truth", 1]], ["->", ["telling-truth", 2], ["telling-truth", 0]]]], "solution"...
A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 4 inhabitants: Emma, Owen, Michael, and Joseph. Emma asserted: "if (Emma is a saint and Joseph is a saint and Owen is a saint) then (Joseph is a saint)". Owen said, "it is not the case that (if ...
Emma is a saint, Owen is a sinner, Michael is a sinner, and Joseph is a saint.
{"source_dataset": "knights_knaves", "source_index": 21939, "statements": [["->", ["and", ["telling-truth", 0], ["telling-truth", 3], ["telling-truth", 1]], ["not", ["lying", 3]]], ["not", ["->", ["telling-truth", 1], ["telling-truth", 0]]], ["and", ["not", ["lying", 0]], ["and", ["lying", 3], ["telling-truth", 2], ["t...
A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Ava, Benjamin, Lucas, and Scarlett. In Ava's words: "(Lucas is a hero if and only if Scarlett is a hero) and Lucas is a hero and Lucas is a villain". Benjamin was heard saying, "B...
Ava is a villain, Benjamin is a villain, Lucas is a hero, and Scarlett is a villain.
{"source_dataset": "knights_knaves", "source_index": 21940, "statements": [["and", ["<=>", ["telling-truth", 2], ["telling-truth", 3]], ["telling-truth", 2], ["lying", 2]], ["and", ["telling-truth", 1], ["<=>", ["telling-truth", 1], ["lying", 2]]], ["or", ["not", ["telling-truth", 1]], ["->", ["telling-truth", 2], ["te...
A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 4 inhabitants: Emily, Jack, Matthew, and Amelia. Emily commented, "if (Jack is a sage and Jack is a fool and Amelia is a sage) then (Matthew is a sage if and only if Matthew is a fool)". In a statemen...
Emily is a sage, Jack is a sage, Matthew is a fool, and Amelia is a sage.
{"source_dataset": "knights_knaves", "source_index": 21941, "statements": [["->", ["and", ["telling-truth", 1], ["lying", 1], ["telling-truth", 3]], ["<=>", ["telling-truth", 2], ["lying", 2]]], ["telling-truth", 3], ["not", ["->", ["telling-truth", 2], ["telling-truth", 3]]], ["->", ["<=>", ["lying", 1], ["telling-tru...
A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 4 inhabitants: Isabella, Daniel, Oliver, and Owen. In Isabella's words: "it is not the case that (if Oliver is a fool then Oliver is a sage)". Daniel said, "(if Isabella is a fool then Daniel is a sag...
Isabella is a fool, Daniel is a sage, Oliver is a sage, and Owen is a fool.
{"source_dataset": "knights_knaves", "source_index": 21942, "statements": [["not", ["->", ["lying", 2], ["telling-truth", 2]]], ["or", ["->", ["lying", 0], ["telling-truth", 1]], ["or", ["lying", 0], ["telling-truth", 2]], ["and", ["lying", 2], ["telling-truth", 3]]], ["not", ["->", ["telling-truth", 1], ["telling-trut...
A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 4 inhabitants: Lucas, Mia, Charlotte, and Sophia. "(Charlotte is a saint if and only if Lucas is a saint) if and only if (Lucas is a saint or Charlotte is a sinner or Sophia is a saint)" - Lucas...
Lucas is a saint, Mia is a saint, Charlotte is a saint, and Sophia is a saint.
{"source_dataset": "knights_knaves", "source_index": 21943, "statements": [["<=>", ["<=>", ["telling-truth", 2], ["telling-truth", 0]], ["or", ["telling-truth", 0], ["lying", 2], ["telling-truth", 3]]], ["not", ["->", ["telling-truth", 0], ["lying", 2]]], ["not", ["not", ["telling-truth", 0]]], ["or", ["not", ["telling...
A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 4 inhabitants: Luke, Sophia, William, and Sebastian. According to Luke, "(William is a devil if and only if Sophia is an angel) or (Sophia is a devil if and only if Sophia is an angel) or Luke is ...
Luke is an angel, Sophia is an angel, William is an angel, and Sebastian is an angel.
{"source_dataset": "knights_knaves", "source_index": 21944, "statements": [["or", ["<=>", ["lying", 2], ["telling-truth", 1]], ["<=>", ["lying", 1], ["telling-truth", 1]], ["telling-truth", 0]], ["<=>", ["and", ["telling-truth", 0], ["lying", 3]], ["lying", 0]], ["->", ["not", ["telling-truth", 1]], ["->", ["telling-tr...
A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Amelia, Owen, Ava, and Aurora. "Aurora is a villain," Amelia mentioned. "(Ava is a villain) or (Owen is a hero if and only if Amelia is a villain) or (Ava is a villain or Amelia i...
Amelia is a villain, Owen is a hero, Ava is a hero, and Aurora is a hero.
{"source_dataset": "knights_knaves", "source_index": 21945, "statements": [["lying", 3], ["or", ["not", ["telling-truth", 2]], ["<=>", ["telling-truth", 1], ["lying", 0]], ["or", ["lying", 2], ["lying", 0]]], ["->", ["or", ["telling-truth", 0], ["telling-truth", 3]], ["or", ["lying", 0], ["telling-truth", 1]]], ["not",...
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 4 inhabitants: Owen, Amelia, Luke, and Jack. As Owen put it, "it is not the case that (Amelia is an egoist if and only if Luke is an egoist)". In Amelia's words: "Owen is an altruist". Luk...
Owen is an altruist, Amelia is an altruist, Luke is an egoist, and Jack is an altruist.
{"source_dataset": "knights_knaves", "source_index": 21946, "statements": [["not", ["<=>", ["lying", 1], ["lying", 2]]], ["telling-truth", 0], ["and", ["not", ["telling-truth", 3]], ["->", ["telling-truth", 1], ["lying", 0]]], ["or", ["not", ["lying", 0]], ["telling-truth", 0], ["and", ["telling-truth", 0], ["lying", 0...
A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Sofia, Sebastian, Victoria, and Charlotte. Sofia asserted: "Charlotte is a hero". Sebastian said, "(Sofia is a hero) if and only if (Sofia is a hero or Sebastian is a hero or Sofi...
Sofia is a hero, Sebastian is a hero, Victoria is a villain, and Charlotte is a hero.
{"source_dataset": "knights_knaves", "source_index": 21947, "statements": [["telling-truth", 3], ["<=>", ["not", ["lying", 0]], ["or", ["telling-truth", 0], ["telling-truth", 1], ["lying", 0]]], ["and", ["lying", 3], ["and", ["telling-truth", 2], ["telling-truth", 3]], ["and", ["lying", 3], ["telling-truth", 3]]], ["or...
A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 4 inhabitants: Ella, Jackson, Riley, and Aurora. Ella stated, "(Aurora is a sage) or (Riley is a sage and Jackson is a fool)". Jackson said that (Aurora is a sage and Aurora is a fool) or Riley is a s...
Ella is a fool, Jackson is a sage, Riley is a sage, and Aurora is a fool.
{"source_dataset": "knights_knaves", "source_index": 21948, "statements": [["or", ["not", ["lying", 3]], ["and", ["telling-truth", 2], ["lying", 1]]], ["or", ["and", ["telling-truth", 3], ["lying", 3]], ["telling-truth", 2], ["not", ["telling-truth", 3]]], ["->", ["and", ["lying", 1], ["telling-truth", 0], ["lying", 3]...
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 4 inhabitants: Jack, James, Chloe, and Aiden. "it is not the case that (James is an egoist)" - Jack. James told you that if James is an altruist then (Chloe is an egoist or Chloe is an alt...
Jack is an altruist, James is an altruist, Chloe is an altruist, and Aiden is an egoist.
{"source_dataset": "knights_knaves", "source_index": 21949, "statements": [["not", ["not", ["telling-truth", 1]]], ["->", ["telling-truth", 1], ["or", ["lying", 2], ["telling-truth", 2]]], ["or", ["not", ["telling-truth", 2]], ["or", ["telling-truth", 2], ["lying", 3], ["lying", 0]]], ["and", ["->", ["lying", 1], ["tel...
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 4 inhabitants: Liam, Ava, Elizabeth, and Avery. Liam stated, "(Ava is an egoist) or (Liam is an altruist if and only if Elizabeth is an egoist) or Avery is an egoist". In Ava's words: "Eli...
Liam is an altruist, Ava is an egoist, Elizabeth is an altruist, and Avery is an altruist.
{"source_dataset": "knights_knaves", "source_index": 21950, "statements": [["or", ["not", ["telling-truth", 1]], ["<=>", ["telling-truth", 0], ["lying", 2]], ["lying", 3]], ["not", ["telling-truth", 2]], ["->", ["and", ["lying", 0], ["telling-truth", 0]], ["lying", 0]], ["telling-truth", 0]], "solution": [true, false, ...
A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 4 inhabitants: Isabella, Harper, Abigail, and Mason. As Isabella put it, "if (Isabella is a fool) then (if Abigail is a fool then Mason is a fool)". Harper was heard saying, "(if Mason is a sage then ...
Isabella is a sage, Harper is a sage, Abigail is a sage, and Mason is a sage.
{"source_dataset": "knights_knaves", "source_index": 21951, "statements": [["->", ["not", ["telling-truth", 0]], ["->", ["lying", 2], ["lying", 3]]], ["or", ["->", ["telling-truth", 3], ["telling-truth", 1]], ["->", ["telling-truth", 0], ["telling-truth", 1]]], ["and", ["not", ["lying", 1]], ["->", ["lying", 3], ["tell...
A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 4 inhabitants: James, Scarlett, Emma, and Sofia. James was heard saying, "if (Emma is a sage or James is a sage) then (Emma is a sage or Sofia is a sage)". Scarlett told you that (if Sofia is a fool t...
James is a sage, Scarlett is a sage, Emma is a sage, and Sofia is a sage.
{"source_dataset": "knights_knaves", "source_index": 21952, "statements": [["->", ["or", ["telling-truth", 2], ["telling-truth", 0]], ["or", ["telling-truth", 2], ["telling-truth", 3]]], ["or", ["->", ["lying", 3], ["telling-truth", 0]], ["<=>", ["lying", 3], ["telling-truth", 1]], ["not", ["telling-truth", 1]]], ["->"...
A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 4 inhabitants: Sophia, Harper, Jackson, and Zoey. As Sophia put it, "Zoey is a laggard". Harper expressed that it is not the case that (if Sophia is a pioneer then Jackson is a laggard). "...
Sophia is a pioneer, Harper is a pioneer, Jackson is a pioneer, and Zoey is a laggard.
{"source_dataset": "knights_knaves", "source_index": 21953, "statements": [["not", ["telling-truth", 3]], ["not", ["->", ["telling-truth", 0], ["lying", 2]]], ["or", ["->", ["telling-truth", 3], ["lying", 1]], ["or", ["lying", 0], ["telling-truth", 2], ["lying", 1]]], ["<=>", ["or", ["telling-truth", 2], ["telling-trut...
A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 4 inhabitants: David, Mia, Amelia, and Logan. As David put it, "Logan is a laggard and (Mia is a pioneer if and only if Mia is a laggard) and (if Logan is a laggard then Amelia is a pionee...
David is a laggard, Mia is a pioneer, Amelia is a laggard, and Logan is a laggard.
{"source_dataset": "knights_knaves", "source_index": 21954, "statements": [["and", ["lying", 3], ["<=>", ["telling-truth", 1], ["lying", 1]], ["->", ["lying", 3], ["telling-truth", 2]]], ["->", ["or", ["telling-truth", 0], ["telling-truth", 3], ["telling-truth", 1]], ["not", ["telling-truth", 2]]], ["not", ["telling-tr...
A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 4 inhabitants: Sofia, Isabella, Lily, and Zoey. Sofia said, "Zoey is a devil." In Isabella's words: "if Zoey is a devil then (Zoey is a devil and Lily is a devil and Isabella is an angel)". "(if L...
Sofia is an angel, Isabella is an angel, Lily is a devil, and Zoey is a devil.
{"source_dataset": "knights_knaves", "source_index": 21955, "statements": [["lying", 3], ["->", ["lying", 3], ["and", ["lying", 3], ["lying", 2], ["telling-truth", 1]]], ["and", ["->", ["telling-truth", 2], ["telling-truth", 0]], ["not", ["telling-truth", 1]]], ["lying", 1]], "solution": [true, true, false, false], "na...
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Oliver, Olivia, Scarlett, and Joseph. "it is not the case that (Scarlett is a knight)," Oliver mentioned. "(if Scarlett is a knave then Scarlett is a knight) if and only if (Olive...
Oliver is a knave, Olivia is a knight, Scarlett is a knight, and Joseph is a knight.
{"source_dataset": "knights_knaves", "source_index": 21956, "statements": [["not", ["not", ["lying", 2]]], ["<=>", ["->", ["lying", 2], ["telling-truth", 2]], ["or", ["telling-truth", 0], ["lying", 0]]], ["telling-truth", 3], ["->", ["->", ["lying", 2], ["telling-truth", 2]], ["or", ["telling-truth", 2], ["telling-trut...
A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 4 inhabitants: Mason, Owen, William, and Penelope. Mason asserted: "if (William is an angel) then (Penelope is an angel and Penelope is a devil and Mason is an angel)". Owen expressed that Mason i...
Mason is a devil, Owen is an angel, William is an angel, and Penelope is an angel.
{"source_dataset": "knights_knaves", "source_index": 21957, "statements": [["->", ["not", ["lying", 2]], ["and", ["telling-truth", 3], ["lying", 3], ["telling-truth", 0]]], ["lying", 0], ["->", ["or", ["lying", 0], ["telling-truth", 3]], ["<=>", ["lying", 3], ["lying", 1]]], ["<=>", ["lying", 1], ["and", ["telling-trut...
A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 4 inhabitants: Benjamin, Aiden, Luke, and Ella. "if Luke is a laggard then (Luke is a pioneer if and only if Ella is a laggard)" - Benjamin. "(Ella is a laggard) if and only if (Ella is a ...
Benjamin is a pioneer, Aiden is a laggard, Luke is a laggard, and Ella is a pioneer.
{"source_dataset": "knights_knaves", "source_index": 21958, "statements": [["->", ["lying", 2], ["<=>", ["telling-truth", 2], ["lying", 3]]], ["<=>", ["not", ["telling-truth", 3]], ["<=>", ["lying", 3], ["lying", 0]]], ["and", ["not", ["telling-truth", 0]], ["->", ["telling-truth", 0], ["lying", 1]], ["telling-truth", ...
A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 4 inhabitants: Ava, Lucas, Jack, and Scarlett. Ava was heard saying, "it is not the case that (Jack is a saint and Lucas is a saint)". "Jack is a sinner" - Lucas. Jack commented, "if (Ava is a s...
Ava is a saint, Lucas is a sinner, Jack is a saint, and Scarlett is a saint.
{"source_dataset": "knights_knaves", "source_index": 21959, "statements": [["not", ["and", ["telling-truth", 2], ["telling-truth", 1]]], ["lying", 2], ["->", ["not", ["telling-truth", 0]], ["<=>", ["telling-truth", 0], ["lying", 1]]], ["<=>", ["or", ["lying", 2], ["telling-truth", 1]], ["and", ["telling-truth", 0], ["t...
A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 4 inhabitants: Sebastian, Logan, Owen, and Lucas. Sebastian asserted: "(Logan is a sinner) and (Owen is a saint and Sebastian is a saint and Lucas is a saint) and Lucas is a sinner". Logan comme...
Sebastian is a sinner, Logan is a saint, Owen is a sinner, and Lucas is a saint.
{"source_dataset": "knights_knaves", "source_index": 21960, "statements": [["and", ["not", ["telling-truth", 1]], ["and", ["telling-truth", 2], ["telling-truth", 0], ["telling-truth", 3]], ["lying", 3]], ["or", ["->", ["lying", 2], ["lying", 0]], ["->", ["lying", 2], ["telling-truth", 3]]], ["lying", 1], ["->", ["not",...
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Owen, David, Mia, and Benjamin. Owen stated, "Benjamin is a knave". David expressed that if (Benjamin is a knave) then (David is a knave). Mia remarked, "(David is a knave or Benj...
Owen is a knave, David is a knight, Mia is a knave, and Benjamin is a knight.
{"source_dataset": "knights_knaves", "source_index": 21961, "statements": [["lying", 3], ["->", ["not", ["telling-truth", 3]], ["not", ["telling-truth", 1]]], ["<=>", ["or", ["lying", 1], ["telling-truth", 3], ["lying", 3]], ["lying", 3]], ["->", ["or", ["telling-truth", 1], ["telling-truth", 2]], ["not", ["telling-tru...
A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 4 inhabitants: Joseph, Samuel, Lucas, and Oliver. Joseph commented, "Joseph is an angel if and only if (Lucas is an angel or Samuel is a devil)". In a statement by Samuel: "(if Joseph is an angel ...
Joseph is an angel, Samuel is a devil, Lucas is a devil, and Oliver is an angel.
{"source_dataset": "knights_knaves", "source_index": 21962, "statements": [["<=>", ["telling-truth", 0], ["or", ["telling-truth", 2], ["lying", 1]]], ["or", ["->", ["telling-truth", 0], ["telling-truth", 2]], ["not", ["telling-truth", 3]], ["and", ["telling-truth", 0], ["telling-truth", 3], ["telling-truth", 2]]], ["no...
A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 4 inhabitants: Aurora, Sofia, Jackson, and Riley. As Aurora put it, "(if Sofia is an angel then Jackson is a devil) and Jackson is a devil and (Sofia is an angel)". Sofia noted, "if (Jackson is a ...
Aurora is an angel, Sofia is an angel, Jackson is a devil, and Riley is an angel.
{"source_dataset": "knights_knaves", "source_index": 21963, "statements": [["and", ["->", ["telling-truth", 1], ["lying", 2]], ["lying", 2], ["not", ["lying", 1]]], ["->", ["and", ["lying", 2], ["telling-truth", 1], ["lying", 0]], ["->", ["telling-truth", 2], ["lying", 2]]], ["not", ["or", ["telling-truth", 0], ["lying...
A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 4 inhabitants: Aiden, Henry, Ella, and Isabella. "it is not the case that (Isabella is a devil if and only if Ella is a devil)," Aiden claimed. In Henry's words: "Aiden is an angel if and only if ...
Aiden is an angel, Henry is an angel, Ella is an angel, and Isabella is a devil.
{"source_dataset": "knights_knaves", "source_index": 21964, "statements": [["not", ["<=>", ["lying", 3], ["lying", 2]]], ["<=>", ["telling-truth", 0], ["->", ["lying", 2], ["telling-truth", 2]]], ["or", ["or", ["lying", 1], ["lying", 3], ["telling-truth", 1]], ["<=>", ["lying", 1], ["telling-truth", 3]], ["lying", 0]],...
A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 4 inhabitants: Chloe, Noah, Oliver, and Isabella. Chloe commented, "Oliver is a sinner if and only if (Noah is a sinner and Oliver is a sinner and Noah is a saint)". In Noah's words: "it is not ...
Chloe is a sinner, Noah is a sinner, Oliver is a sinner, and Isabella is a sinner.
{"source_dataset": "knights_knaves", "source_index": 21965, "statements": [["<=>", ["lying", 2], ["and", ["lying", 1], ["lying", 2], ["telling-truth", 1]]], ["not", ["or", ["telling-truth", 3], ["lying", 0]]], ["and", ["telling-truth", 2], ["<=>", ["telling-truth", 1], ["telling-truth", 0]]], ["<=>", ["not", ["lying", ...
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 4 inhabitants: Ava, Emily, Lily, and Amelia. "Lily is an egoist" - Ava. Emily was heard saying, "if (Lily is an egoist or Ava is an egoist or Ava is an altruist) then (if Amelia is an altr...
Ava is an egoist, Emily is an altruist, Lily is an altruist, and Amelia is an egoist.
{"source_dataset": "knights_knaves", "source_index": 21966, "statements": [["lying", 2], ["->", ["or", ["lying", 2], ["lying", 0], ["telling-truth", 0]], ["->", ["telling-truth", 3], ["lying", 3]]], ["or", ["<=>", ["lying", 0], ["lying", 1]], ["->", ["telling-truth", 1], ["lying", 0]]], ["not", ["or", ["lying", 0], ["t...
A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 4 inhabitants: Isabella, Benjamin, Daniel, and David. Isabella noted, "Isabella is a sage". In a statement by Benjamin: "if (Benjamin is a sage if and only if David is a sage) then Isabella is a sage"...
Isabella is a fool, Benjamin is a fool, Daniel is a sage, and David is a fool.
{"source_dataset": "knights_knaves", "source_index": 21967, "statements": [["telling-truth", 0], ["->", ["<=>", ["telling-truth", 1], ["telling-truth", 3]], ["telling-truth", 0]], ["lying", 0], ["not", ["->", ["telling-truth", 1], ["telling-truth", 3]]]], "solution": [false, false, true, false], "names": ["Isabella", "...
A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 4 inhabitants: Noah, Henry, Sebastian, and Lily. In a statement by Noah: "(Lily is an angel or Noah is an angel) or Noah is an angel". "(Sebastian is an angel or Lily is a devil or Lily is an ange...
Noah is a devil, Henry is a devil, Sebastian is an angel, and Lily is a devil.
{"source_dataset": "knights_knaves", "source_index": 21968, "statements": [["or", ["or", ["telling-truth", 3], ["telling-truth", 0]], ["telling-truth", 0]], ["<=>", ["or", ["telling-truth", 2], ["lying", 3], ["telling-truth", 3]], ["->", ["lying", 3], ["telling-truth", 3]]], ["->", ["not", ["lying", 3]], ["not", ["tell...
A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 4 inhabitants: Penelope, Joseph, Liam, and Sophia. In a statement by Penelope: "(Liam is a pioneer if and only if Joseph is a pioneer) and (Sophia is a pioneer if and only if Penelope is a...
Penelope is a laggard, Joseph is a pioneer, Liam is a laggard, and Sophia is a pioneer.
{"source_dataset": "knights_knaves", "source_index": 21969, "statements": [["and", ["<=>", ["telling-truth", 2], ["telling-truth", 1]], ["<=>", ["telling-truth", 3], ["telling-truth", 0]], ["or", ["lying", 3], ["telling-truth", 0]]], ["->", ["or", ["lying", 2], ["lying", 3]], ["or", ["telling-truth", 2], ["lying", 0], ...
A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 4 inhabitants: Aurora, David, Logan, and Mia. Aurora noted, "it is not the case that (Mia is a villain if and only if Logan is a villain)". David said, "if (Mia is a villain if and only if David...
Aurora is a villain, David is a hero, Logan is a hero, and Mia is a hero.
{"source_dataset": "knights_knaves", "source_index": 21970, "statements": [["not", ["<=>", ["lying", 3], ["lying", 2]]], ["->", ["<=>", ["lying", 3], ["telling-truth", 1]], ["and", ["lying", 0], ["lying", 3]]], ["<=>", ["or", ["telling-truth", 2], ["lying", 3]], ["telling-truth", 1]], ["telling-truth", 2]], "solution":...
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Chloe, Emma, Victoria, and Joseph. Chloe said, "it is not the case that (Emma is a knave or Victoria is a knave)." Emma noted, "it is not the case that (Joseph is a knight)". "(Em...
Chloe is a knight, Emma is a knight, Victoria is a knight, and Joseph is a knave.
{"source_dataset": "knights_knaves", "source_index": 21971, "statements": [["not", ["or", ["lying", 1], ["lying", 2]]], ["not", ["not", ["lying", 3]]], ["or", ["<=>", ["lying", 1], ["telling-truth", 0]], ["and", ["telling-truth", 2], ["telling-truth", 1], ["telling-truth", 0]]], ["and", ["not", ["lying", 2]], ["and", [...
A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 4 inhabitants: Elizabeth, Daniel, Abigail, and William. Elizabeth remarked, "it is not the case that (William is a devil)". Daniel told you that Abigail is a devil if and only if (Elizabeth is a d...
Elizabeth is a devil, Daniel is an angel, Abigail is a devil, and William is a devil.
{"source_dataset": "knights_knaves", "source_index": 21972, "statements": [["not", ["not", ["telling-truth", 3]]], ["<=>", ["lying", 2], ["and", ["lying", 0], ["lying", 2]]], ["<=>", ["and", ["lying", 1], ["telling-truth", 3], ["telling-truth", 1]], ["telling-truth", 1]], ["not", ["->", ["telling-truth", 0], ["lying", ...
A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 4 inhabitants: Aria, Luke, Jack, and Evelyn. Aria commented, "Evelyn is a pioneer or (Luke is a pioneer or Jack is a pioneer)". Luke remarked, "(Aria is a pioneer or Evelyn is a laggard or...
Aria is a pioneer, Luke is a pioneer, Jack is a pioneer, and Evelyn is a laggard.
{"source_dataset": "knights_knaves", "source_index": 21973, "statements": [["or", ["telling-truth", 3], ["or", ["telling-truth", 1], ["telling-truth", 2]]], ["and", ["or", ["telling-truth", 0], ["lying", 3], ["telling-truth", 3]], ["and", ["lying", 3], ["telling-truth", 0], ["telling-truth", 2]]], ["telling-truth", 2],...
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 4 inhabitants: Avery, Riley, Oliver, and Elizabeth. "it is not the case that (Avery is a knave)," Avery mentioned. In Riley's words: "(Avery is a knave and Riley is a knight) or (if Oliver is a ...
Avery is a knave, Riley is a knight, Oliver is a knight, and Elizabeth is a knight.
{"source_dataset": "knights_knaves", "source_index": 21974, "statements": [["not", ["not", ["telling-truth", 0]]], ["or", ["and", ["lying", 0], ["telling-truth", 1]], ["->", ["lying", 2], ["lying", 3]]], ["<=>", ["lying", 3], ["and", ["lying", 0], ["telling-truth", 0]]], ["<=>", ["or", ["lying", 0], ["lying", 1], ["lyi...
A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 4 inhabitants: Chloe, Riley, Jacob, and Joseph. Chloe commented, "Joseph is a devil". Riley said, "if (Joseph is a devil and Chloe is an angel) then (Joseph is a devil if and only if Jacob is an a...
Chloe is an angel, Riley is an angel, Jacob is an angel, and Joseph is a devil.
{"source_dataset": "knights_knaves", "source_index": 21975, "statements": [["lying", 3], ["->", ["and", ["lying", 3], ["telling-truth", 0]], ["<=>", ["lying", 3], ["telling-truth", 2]]], ["or", ["->", ["telling-truth", 2], ["lying", 3]], ["telling-truth", 3]], ["and", ["telling-truth", 0], ["not", ["telling-truth", 0]]...
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