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A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 7 inhabitants: Ella, Matthew, Chloe, Harper, Joseph, Grace, and Victoria. "Harper is a fool or Joseph is a sage," Ella declared. In Matthew's words: "Victoria is a sage". Chloe noted, "Joseph is a foo...
Ella is a sage, Matthew is a sage, Chloe is a fool, Harper is a sage, Joseph is a sage, Grace is a fool, and Victoria is a sage.
{"source_dataset": "knights_knaves", "source_index": 0, "statements": [["or", ["lying", 3], ["telling-truth", 4]], ["not", ["lying", 6]], ["not", ["telling-truth", 4]], ["or", ["telling-truth", 5], ["telling-truth", 0]], ["->", ["lying", 1], ["telling-truth", 2]], ["and", ["lying", 1], ["telling-truth", 2]], ["not", ["...
A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 7 inhabitants: Chloe, Avery, Olivia, William, Logan, Mia, and Charlotte. Chloe noted, "William is a sage or Mia is a fool". Avery was heard saying, "Chloe is a sage if and only if Logan is a fool". "C...
Chloe is a fool, Avery is a fool, Olivia is a sage, William is a fool, Logan is a fool, Mia is a sage, and Charlotte is a sage.
{"source_dataset": "knights_knaves", "source_index": 1, "statements": [["or", ["telling-truth", 3], ["lying", 5]], ["<=>", ["telling-truth", 0], ["lying", 4]], ["not", ["lying", 6]], ["and", ["telling-truth", 4], ["telling-truth", 1]], ["not", ["telling-truth", 6]], ["or", ["lying", 4], ["telling-truth", 0]], ["or", ["...
A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 7 inhabitants: Jacob, Ella, Aiden, Isabella, Emily, Abigail, and Daniel. Jacob asserted: "Emily is a hero or Daniel is a villain". In a statement by Ella: "Daniel is a villain or Isabella is a h...
Jacob is a hero, Ella is a hero, Aiden is a hero, Isabella is a villain, Emily is a villain, Abigail is a villain, and Daniel is a villain.
{"source_dataset": "knights_knaves", "source_index": 2, "statements": [["or", ["telling-truth", 4], ["lying", 6]], ["or", ["lying", 6], ["telling-truth", 3]], ["or", ["lying", 0], ["lying", 5]], ["telling-truth", 4], ["and", ["telling-truth", 5], ["telling-truth", 4]], ["lying", 0], ["not", ["lying", 3]]], "solution": ...
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 7 inhabitants: Charlotte, Logan, Lily, Samuel, Olivia, Mia, and Aiden. Charlotte said, "Charlotte is an altruist and Aiden is an altruist." "Olivia is an egoist and Logan is an altruist," ...
Charlotte is an egoist, Logan is an egoist, Lily is an altruist, Samuel is an egoist, Olivia is an altruist, Mia is an altruist, and Aiden is an egoist.
{"source_dataset": "knights_knaves", "source_index": 3, "statements": [["and", ["telling-truth", 0], ["telling-truth", 6]], ["and", ["lying", 4], ["telling-truth", 1]], ["->", ["lying", 4], ["telling-truth", 0]], ["telling-truth", 1], ["<=>", ["lying", 6], ["telling-truth", 4]], ["->", ["lying", 0], ["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 7 inhabitants: Owen, Amelia, Jackson, Jacob, Ella, Mason, and Olivia. Owen asserted: "Amelia is an altruist and Olivia is an egoist". Amelia noted, "if Ella is an altruist then Ella is an ...
Owen is an egoist, Amelia is an egoist, Jackson is an egoist, Jacob is an egoist, Ella is an altruist, Mason is an egoist, and Olivia is an altruist.
{"source_dataset": "knights_knaves", "source_index": 4, "statements": [["and", ["telling-truth", 1], ["lying", 6]], ["->", ["telling-truth", 4], ["lying", 4]], ["<=>", ["telling-truth", 6], ["telling-truth", 1]], ["not", ["lying", 5]], ["<=>", ["telling-truth", 1], ["telling-truth", 5]], ["<=>", ["lying", 1], ["telling...
A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 7 inhabitants: Samuel, Lily, Charlotte, Sofia, Zoey, Logan, and William. Samuel expressed that William is a fool or Charlotte is a sage. "if Zoey is a sage then Sofia is a fool" - Lily. Charlotte comm...
Samuel is a sage, Lily is a sage, Charlotte is a fool, Sofia is a fool, Zoey is a sage, Logan is a fool, and William is a fool.
{"source_dataset": "knights_knaves", "source_index": 5, "statements": [["or", ["lying", 6], ["telling-truth", 2]], ["->", ["telling-truth", 4], ["lying", 3]], ["or", ["lying", 1], ["lying", 0]], ["not", ["lying", 5]], ["->", ["telling-truth", 2], ["telling-truth", 1]], ["and", ["telling-truth", 5], ["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 7 inhabitants: Zoey, Lucas, Henry, Jacob, Logan, Elizabeth, and Benjamin. Zoey asserted: "Jacob is a devil and Lucas is an angel". In a statement by Lucas: "Jacob is a devil or Elizabeth is a devi...
Zoey is a devil, Lucas is a devil, Henry is an angel, Jacob is an angel, Logan is a devil, Elizabeth is an angel, and Benjamin is a devil.
{"source_dataset": "knights_knaves", "source_index": 6, "statements": [["and", ["lying", 3], ["telling-truth", 1]], ["or", ["lying", 3], ["lying", 5]], ["not", ["lying", 5]], ["and", ["lying", 4], ["telling-truth", 5]], ["and", ["lying", 2], ["telling-truth", 0]], ["or", ["lying", 6], ["lying", 3]], ["or", ["telling-tr...
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 7 inhabitants: Aurora, Lily, Aiden, Harper, Ethan, Liam, and Penelope. Aurora noted, "Lily is an altruist". Lily remarked, "Penelope is an egoist or Penelope is an altruist". "Penelope is ...
Aurora is an altruist, Lily is an altruist, Aiden is an egoist, Harper is an altruist, Ethan is an altruist, Liam is an altruist, and Penelope is an egoist.
{"source_dataset": "knights_knaves", "source_index": 7, "statements": [["not", ["lying", 1]], ["or", ["lying", 6], ["telling-truth", 6]], ["and", ["lying", 6], ["lying", 3]], ["not", ["lying", 4]], ["not", ["telling-truth", 2]], ["not", ["telling-truth", 6]], ["or", ["telling-truth", 2], ["lying", 3]]], "solution": [tr...
A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 7 inhabitants: Chloe, Riley, Mason, Harper, Joseph, David, and Samuel. Chloe said that Harper is a devil. Riley asserted: "Joseph is a devil if and only if Harper is an angel". Mason asserted: "Da...
Chloe is an angel, Riley is an angel, Mason is a devil, Harper is a devil, Joseph is an angel, David is an angel, and Samuel is an angel.
{"source_dataset": "knights_knaves", "source_index": 8, "statements": [["lying", 3], ["<=>", ["lying", 4], ["telling-truth", 3]], ["lying", 5], ["not", ["telling-truth", 0]], ["or", ["telling-truth", 5], ["telling-truth", 1]], ["or", ["telling-truth", 1], ["telling-truth", 2]], ["or", ["telling-truth", 0], ["lying", 5]...
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 7 inhabitants: Aiden, Aria, Ella, Olivia, Scarlett, Samuel, and Evelyn. Aiden stated, "Aria is an egoist". "Scarlett is an altruist and Evelyn is an egoist" - Aria. In a statement by Ella:...
Aiden is an altruist, Aria is an egoist, Ella is an altruist, Olivia is an altruist, Scarlett is an altruist, Samuel is an altruist, and Evelyn is an altruist.
{"source_dataset": "knights_knaves", "source_index": 9, "statements": [["lying", 1], ["and", ["telling-truth", 4], ["lying", 6]], ["->", ["lying", 4], ["telling-truth", 5]], ["not", ["telling-truth", 1]], ["or", ["telling-truth", 0], ["telling-truth", 2]], ["or", ["telling-truth", 4], ["lying", 4]], ["<=>", ["lying", 1...
A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 7 inhabitants: Sebastian, Charlotte, Ava, Jacob, Sofia, Daniel, and Scarlett. Sebastian was heard saying, "Daniel is a devil if and only if Charlotte is a devil". In a statement by Charlotte: "Seb...
Sebastian is an angel, Charlotte is a devil, Ava is a devil, Jacob is an angel, Sofia is an angel, Daniel is a devil, and Scarlett is a devil.
{"source_dataset": "knights_knaves", "source_index": 10, "statements": [["<=>", ["lying", 5], ["lying", 1]], ["and", ["lying", 0], ["telling-truth", 4]], ["->", ["telling-truth", 3], ["telling-truth", 1]], ["or", ["lying", 1], ["lying", 6]], ["->", ["lying", 5], ["lying", 2]], ["and", ["lying", 3], ["telling-truth", 1]...
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 7 inhabitants: Ethan, David, Penelope, Samuel, Matthew, Elizabeth, and Noah. According to Ethan, "Matthew is an altruist". In a statement by David: "Noah is an altruist and Samuel is an eg...
Ethan is an egoist, David is an egoist, Penelope is an altruist, Samuel is an egoist, Matthew is an egoist, Elizabeth is an egoist, and Noah is an egoist.
{"source_dataset": "knights_knaves", "source_index": 11, "statements": [["not", ["lying", 4]], ["and", ["telling-truth", 6], ["lying", 3]], ["not", ["telling-truth", 1]], ["telling-truth", 6], ["not", ["lying", 5]], ["<=>", ["lying", 0], ["telling-truth", 0]], ["telling-truth", 1]], "solution": [false, false, true, fal...
A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 7 inhabitants: Oliver, Daniel, Aria, Aiden, Emma, Lily, and Scarlett. "Emma is a hero" - Oliver. Daniel commented, "Aiden is a hero if and only if Lily is a villain". In Aria's words: "Emma is a...
Oliver is a hero, Daniel is a hero, Aria is a villain, Aiden is a villain, Emma is a hero, Lily is a hero, and Scarlett is a hero.
{"source_dataset": "knights_knaves", "source_index": 12, "statements": [["telling-truth", 4], ["<=>", ["telling-truth", 3], ["lying", 5]], ["lying", 4], ["<=>", ["telling-truth", 5], ["lying", 5]], ["or", ["telling-truth", 0], ["telling-truth", 2]], ["->", ["telling-truth", 0], ["telling-truth", 6]], ["<=>", ["lying", ...
A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 7 inhabitants: Daniel, Lucas, Emma, Victoria, Riley, Ella, and Michael. "if Riley is a saint then Michael is a sinner" - Daniel. As Lucas put it, "Michael is a sinner or Victoria is a saint". Em...
Daniel is a sinner, Lucas is a saint, Emma is a saint, Victoria is a saint, Riley is a saint, Ella is a saint, and Michael is a saint.
{"source_dataset": "knights_knaves", "source_index": 13, "statements": [["->", ["telling-truth", 4], ["lying", 6]], ["or", ["lying", 6], ["telling-truth", 3]], ["->", ["lying", 6], ["lying", 5]], ["<=>", ["telling-truth", 3], ["telling-truth", 6]], ["and", ["telling-truth", 1], ["telling-truth", 6]], ["or", ["lying", 2...
A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 7 inhabitants: Owen, Penelope, Amelia, Abigail, Elizabeth, Jackson, and Emily. "if Penelope is a laggard then Jackson is a laggard," Owen claimed. In a statement by Penelope: "if Jackson i...
Owen is a pioneer, Penelope is a pioneer, Amelia is a pioneer, Abigail is a pioneer, Elizabeth is a pioneer, Jackson is a pioneer, and Emily is a pioneer.
{"source_dataset": "knights_knaves", "source_index": 14, "statements": [["->", ["lying", 1], ["lying", 5]], ["->", ["lying", 5], ["lying", 4]], ["and", ["telling-truth", 2], ["telling-truth", 4]], ["not", ["lying", 0]], ["<=>", ["lying", 6], ["lying", 1]], ["<=>", ["lying", 2], ["lying", 6]], ["->", ["lying", 0], ["tel...
A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 7 inhabitants: Amelia, David, Aria, Evelyn, Daniel, Oliver, and Noah. In Amelia's words: "Noah is a pioneer and Aria is a laggard". As David put it, "Evelyn is a pioneer if and only if Ame...
Amelia is a laggard, David is a pioneer, Aria is a pioneer, Evelyn is a laggard, Daniel is a laggard, Oliver is a pioneer, and Noah is a pioneer.
{"source_dataset": "knights_knaves", "source_index": 15, "statements": [["and", ["telling-truth", 6], ["lying", 2]], ["<=>", ["telling-truth", 3], ["telling-truth", 0]], ["or", ["lying", 1], ["telling-truth", 5]], ["not", ["lying", 0]], ["and", ["lying", 2], ["lying", 5]], ["telling-truth", 1], ["->", ["lying", 1], ["t...
A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 7 inhabitants: Evelyn, Alexander, Sophia, Amelia, Olivia, Daniel, and Sofia. "Olivia is an angel and Sofia is an angel" - Evelyn. Alexander stated, "Amelia is a devil and Evelyn is a devil". Accor...
Evelyn is a devil, Alexander is an angel, Sophia is a devil, Amelia is a devil, Olivia is a devil, Daniel is a devil, and Sofia is a devil.
{"source_dataset": "knights_knaves", "source_index": 16, "statements": [["and", ["telling-truth", 4], ["telling-truth", 6]], ["and", ["lying", 3], ["lying", 0]], ["<=>", ["lying", 4], ["telling-truth", 0]], ["not", ["lying", 5]], ["lying", 1], ["and", ["telling-truth", 2], ["lying", 0]], ["or", ["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 7 inhabitants: Jackson, Aiden, Joseph, William, Sofia, Amelia, and Benjamin. According to Jackson, "Aiden is an egoist". Aiden commented, "William is an egoist and Jackson is an egoist". J...
Jackson is an altruist, Aiden is an egoist, Joseph is an altruist, William is an egoist, Sofia is an altruist, Amelia is an egoist, and Benjamin is an egoist.
{"source_dataset": "knights_knaves", "source_index": 17, "statements": [["lying", 1], ["and", ["lying", 3], ["lying", 0]], ["->", ["telling-truth", 3], ["lying", 3]], ["->", ["telling-truth", 0], ["telling-truth", 5]], ["<=>", ["lying", 0], ["telling-truth", 1]], ["not", ["telling-truth", 4]], ["lying", 2]], "solution"...
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 7 inhabitants: James, Grace, Riley, Scarlett, Charlotte, Jack, and Elizabeth. "Jack is an egoist or Scarlett is an egoist," James declared. Grace expressed that James is an egoist. "Jack i...
James is an altruist, Grace is an egoist, Riley is an egoist, Scarlett is an altruist, Charlotte is an altruist, Jack is an egoist, and Elizabeth is an altruist.
{"source_dataset": "knights_knaves", "source_index": 18, "statements": [["or", ["lying", 5], ["lying", 3]], ["lying", 0], ["<=>", ["telling-truth", 5], ["lying", 1]], ["->", ["lying", 1], ["telling-truth", 6]], ["<=>", ["lying", 3], ["telling-truth", 5]], ["and", ["lying", 6], ["telling-truth", 6]], ["or", ["lying", 2]...
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Lily, Joseph, Zoey, Sebastian, Harper, Ethan, and Avery. "Ethan is a knight if and only if Sebastian is a knight," Lily claimed. As Joseph put it, "if Lily is a knight then Sebast...
Lily is a knight, Joseph is a knight, Zoey is a knave, Sebastian is a knave, Harper is a knight, Ethan is a knave, and Avery is a knight.
{"source_dataset": "knights_knaves", "source_index": 19, "statements": [["<=>", ["telling-truth", 5], ["telling-truth", 3]], ["->", ["telling-truth", 0], ["lying", 3]], ["lying", 0], ["<=>", ["lying", 4], ["telling-truth", 6]], ["and", ["lying", 3], ["telling-truth", 4]], ["and", ["telling-truth", 3], ["telling-truth",...
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 7 inhabitants: Emma, Penelope, Joseph, Victoria, Lily, Samuel, and Zoey. Emma commented, "Joseph is an altruist". Penelope said, "Emma is an egoist or Victoria is an altruist." Joseph expr...
Emma is an egoist, Penelope is an altruist, Joseph is an egoist, Victoria is an altruist, Lily is an altruist, Samuel is an egoist, and Zoey is an altruist.
{"source_dataset": "knights_knaves", "source_index": 20, "statements": [["not", ["lying", 2]], ["or", ["lying", 0], ["telling-truth", 3]], ["or", ["lying", 4], ["lying", 3]], ["or", ["telling-truth", 4], ["lying", 6]], ["->", ["telling-truth", 0], ["lying", 6]], ["and", ["lying", 4], ["telling-truth", 2]], ["not", ["ly...
A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 7 inhabitants: Victoria, Avery, Charlotte, Abigail, Ava, Oliver, and William. Victoria expressed that Abigail is an angel. Avery said, "if Abigail is a devil then Charlotte is an angel." Charlotte...
Victoria is a devil, Avery is a devil, Charlotte is a devil, Abigail is a devil, Ava is a devil, Oliver is a devil, and William is a devil.
{"source_dataset": "knights_knaves", "source_index": 21, "statements": [["not", ["lying", 3]], ["->", ["lying", 3], ["telling-truth", 2]], ["and", ["telling-truth", 6], ["lying", 1]], ["and", ["telling-truth", 2], ["telling-truth", 4]], ["not", ["lying", 2]], ["telling-truth", 0], ["<=>", ["telling-truth", 5], ["lying"...
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Avery, Daniel, Ava, Samuel, Noah, Chloe, and William. Avery commented, "Ava is a knight". "Noah is a knight," Daniel declared. "William is a knave and Chloe is a knight," Ava clai...
Avery is a knave, Daniel is a knight, Ava is a knave, Samuel is a knave, Noah is a knight, Chloe is a knave, and William is a knight.
{"source_dataset": "knights_knaves", "source_index": 22, "statements": [["not", ["lying", 2]], ["not", ["lying", 4]], ["and", ["lying", 6], ["telling-truth", 5]], ["not", ["lying", 5]], ["not", ["telling-truth", 3]], ["and", ["telling-truth", 6], ["telling-truth", 2]], ["not", ["telling-truth", 5]]], "solution": [false...
A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 7 inhabitants: Mason, Daniel, Riley, Amelia, Liam, Abigail, and Jackson. Mason noted, "Daniel is a devil if and only if Amelia is an angel". Daniel asserted: "Liam is an angel". Riley said that Am...
Mason is a devil, Daniel is a devil, Riley is an angel, Amelia is a devil, Liam is a devil, Abigail is an angel, and Jackson is an angel.
{"source_dataset": "knights_knaves", "source_index": 23, "statements": [["<=>", ["lying", 1], ["telling-truth", 3]], ["telling-truth", 4], ["not", ["telling-truth", 3]], ["and", ["telling-truth", 2], ["telling-truth", 4]], ["not", ["telling-truth", 5]], ["->", ["telling-truth", 3], ["lying", 0]], ["<=>", ["lying", 5], ...
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 7 inhabitants: Luke, Elizabeth, Matthew, Riley, Avery, Michael, and Charlotte. Luke was heard saying, "Luke is an altruist if and only if Riley is an altruist". Elizabeth commented, "if Ch...
Luke is an altruist, Elizabeth is an egoist, Matthew is an egoist, Riley is an altruist, Avery is an egoist, Michael is an altruist, and Charlotte is an egoist.
{"source_dataset": "knights_knaves", "source_index": 24, "statements": [["<=>", ["telling-truth", 0], ["telling-truth", 3]], ["->", ["lying", 6], ["telling-truth", 4]], ["and", ["lying", 1], ["lying", 0]], ["<=>", ["telling-truth", 4], ["lying", 5]], ["or", ["lying", 5], ["lying", 0]], ["->", ["lying", 1], ["lying", 6]...
A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 7 inhabitants: Isabella, Abigail, Aurora, Amelia, Ethan, Owen, and Jackson. In a statement by Isabella: "Amelia is a devil". "Amelia is an angel and Ethan is an angel," Abigail claimed. Aurora was...
Isabella is an angel, Abigail is a devil, Aurora is an angel, Amelia is a devil, Ethan is an angel, Owen is a devil, and Jackson is a devil.
{"source_dataset": "knights_knaves", "source_index": 25, "statements": [["lying", 3], ["and", ["telling-truth", 3], ["telling-truth", 4]], ["or", ["lying", 5], ["telling-truth", 3]], ["and", ["lying", 5], ["telling-truth", 6]], ["or", ["lying", 1], ["telling-truth", 3]], ["telling-truth", 3], ["not", ["lying", 5]]], "s...
A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 7 inhabitants: Joseph, Emma, David, Lucas, Evelyn, Mia, and Scarlett. As Joseph put it, "David is a villain and Lucas is a villain". "David is a villain if and only if Lucas is a villain," Emma ...
Joseph is a villain, Emma is a villain, David is a hero, Lucas is a villain, Evelyn is a hero, Mia is a hero, and Scarlett is a villain.
{"source_dataset": "knights_knaves", "source_index": 26, "statements": [["and", ["lying", 2], ["lying", 3]], ["<=>", ["lying", 2], ["lying", 3]], ["or", ["lying", 6], ["lying", 4]], ["lying", 2], ["->", ["lying", 5], ["telling-truth", 1]], ["or", ["lying", 4], ["telling-truth", 5]], ["and", ["lying", 5], ["telling-trut...
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 7 inhabitants: David, Mia, Aria, Emily, Olivia, Oliver, and Jackson. In a statement by David: "Jackson is an egoist". Mia was heard saying, "Olivia is an egoist". "Emily is an altruist," A...
David is an altruist, Mia is an egoist, Aria is an altruist, Emily is an altruist, Olivia is an altruist, Oliver is an altruist, and Jackson is an egoist.
{"source_dataset": "knights_knaves", "source_index": 27, "statements": [["not", ["telling-truth", 6]], ["lying", 4], ["not", ["lying", 3]], ["not", ["lying", 0]], ["or", ["lying", 0], ["telling-truth", 0]], ["->", ["lying", 0], ["telling-truth", 4]], ["->", ["telling-truth", 4], ["lying", 4]]], "solution": [true, false...
A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 7 inhabitants: Evelyn, Grace, Samuel, Olivia, Liam, Lily, and Elizabeth. Evelyn commented, "Lily is a devil". Grace said, "Evelyn is a devil if and only if Liam is a devil." "Grace is an angel," S...
Evelyn is a devil, Grace is an angel, Samuel is an angel, Olivia is a devil, Liam is a devil, Lily is an angel, and Elizabeth is a devil.
{"source_dataset": "knights_knaves", "source_index": 28, "statements": [["not", ["telling-truth", 5]], ["<=>", ["lying", 0], ["lying", 4]], ["not", ["lying", 1]], ["not", ["lying", 6]], ["and", ["telling-truth", 0], ["lying", 1]], ["not", ["lying", 1]], ["not", ["telling-truth", 5]]], "solution": [false, true, true, fa...
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Harper, Riley, Samuel, Abigail, Emily, Oliver, and Isabella. As Harper put it, "Oliver is a knave". Riley noted, "Oliver is a knave if and only if Riley is a knight". Samuel state...
Harper is a knight, Riley is a knight, Samuel is a knave, Abigail is a knight, Emily is a knight, Oliver is a knave, and Isabella is a knight.
{"source_dataset": "knights_knaves", "source_index": 29, "statements": [["not", ["telling-truth", 5]], ["<=>", ["lying", 5], ["telling-truth", 1]], ["not", ["telling-truth", 0]], ["not", ["telling-truth", 2]], ["or", ["telling-truth", 1], ["telling-truth", 2]], ["<=>", ["lying", 1], ["lying", 2]], ["->", ["lying", 3], ...
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 7 inhabitants: Amelia, James, Scarlett, Noah, Avery, Grace, and Matthew. Amelia asserted: "if Matthew is an egoist then Avery is an egoist". James commented, "Scarlett is an egoist if and ...
Amelia is an egoist, James is an altruist, Scarlett is an altruist, Noah is an egoist, Avery is an altruist, Grace is an altruist, and Matthew is an egoist.
{"source_dataset": "knights_knaves", "source_index": 30, "statements": [["->", ["lying", 6], ["lying", 4]], ["<=>", ["lying", 2], ["telling-truth", 3]], ["or", ["lying", 5], ["lying", 3]], ["and", ["lying", 4], ["lying", 5]], ["or", ["lying", 6], ["lying", 0]], ["lying", 6], ["<=>", ["telling-truth", 3], ["lying", 3]]]...
A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 7 inhabitants: Joseph, Olivia, Chloe, Benjamin, Emily, Samuel, and Riley. Joseph asserted: "Chloe is a devil or Olivia is a devil". "Joseph is an angel or Emily is an angel," Olivia mentioned. In ...
Joseph is a devil, Olivia is an angel, Chloe is an angel, Benjamin is a devil, Emily is an angel, Samuel is a devil, and Riley is an angel.
{"source_dataset": "knights_knaves", "source_index": 31, "statements": [["or", ["lying", 2], ["lying", 1]], ["or", ["telling-truth", 0], ["telling-truth", 4]], ["and", ["telling-truth", 1], ["telling-truth", 4]], ["<=>", ["telling-truth", 3], ["telling-truth", 1]], ["->", ["lying", 0], ["lying", 3]], ["not", ["lying", ...
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 7 inhabitants: Harper, Mia, Luke, Amelia, Lucas, Aria, and Samuel. In Harper's words: "Mia is an altruist and Amelia is an altruist". "Samuel is an egoist and Mia is an altruist," Mia decl...
Harper is an egoist, Mia is an egoist, Luke is an altruist, Amelia is an egoist, Lucas is an egoist, Aria is an altruist, and Samuel is an egoist.
{"source_dataset": "knights_knaves", "source_index": 32, "statements": [["and", ["telling-truth", 1], ["telling-truth", 3]], ["and", ["lying", 6], ["telling-truth", 1]], ["->", ["lying", 0], ["lying", 1]], ["not", ["lying", 1]], ["<=>", ["lying", 2], ["lying", 6]], ["->", ["telling-truth", 4], ["telling-truth", 5]], ["...
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 7 inhabitants: Aria, Sebastian, Lucas, Jack, Aurora, David, and Elizabeth. Aria expressed that David is an egoist and Sebastian is an altruist. In Sebastian's words: "Jack is an altruist"....
Aria is an egoist, Sebastian is an egoist, Lucas is an altruist, Jack is an egoist, Aurora is an altruist, David is an altruist, and Elizabeth is an altruist.
{"source_dataset": "knights_knaves", "source_index": 33, "statements": [["and", ["lying", 5], ["telling-truth", 1]], ["not", ["lying", 3]], ["or", ["lying", 3], ["lying", 1]], ["<=>", ["lying", 2], ["telling-truth", 2]], ["not", ["lying", 2]], ["or", ["telling-truth", 6], ["lying", 1]], ["not", ["telling-truth", 0]]], ...
A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 7 inhabitants: William, Ethan, David, Liam, Ava, Jackson, and Avery. William expressed that William is a sage if and only if Liam is a fool. Ethan asserted: "if Ethan is a sage then Ava is a sage". "A...
William is a sage, Ethan is a sage, David is a sage, Liam is a fool, Ava is a sage, Jackson is a fool, and Avery is a sage.
{"source_dataset": "knights_knaves", "source_index": 34, "statements": [["<=>", ["telling-truth", 0], ["lying", 3]], ["->", ["telling-truth", 1], ["telling-truth", 4]], ["not", ["lying", 6]], ["lying", 2], ["and", ["lying", 5], ["telling-truth", 2]], ["lying", 4], ["not", ["lying", 0]]], "solution": [true, true, true, ...
A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 7 inhabitants: Victoria, Logan, Emma, Penelope, Amelia, Benjamin, and James. Victoria expressed that Amelia is a villain or James is a villain. Logan told you that Victoria is a villain or James...
Victoria is a hero, Logan is a hero, Emma is a hero, Penelope is a hero, Amelia is a hero, Benjamin is a hero, and James is a villain.
{"source_dataset": "knights_knaves", "source_index": 35, "statements": [["or", ["lying", 4], ["lying", 6]], ["or", ["lying", 0], ["lying", 6]], ["or", ["telling-truth", 2], ["lying", 6]], ["or", ["lying", 4], ["telling-truth", 1]], ["<=>", ["telling-truth", 0], ["telling-truth", 1]], ["or", ["telling-truth", 1], ["tell...
A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 7 inhabitants: Sebastian, Owen, Grace, Jacob, Amelia, Aria, and Samuel. In a statement by Sebastian: "Samuel is a laggard and Jacob is a pioneer". "Sebastian is a laggard" - Owen. Grace no...
Sebastian is a laggard, Owen is a pioneer, Grace is a laggard, Jacob is a pioneer, Amelia is a pioneer, Aria is a pioneer, and Samuel is a pioneer.
{"source_dataset": "knights_knaves", "source_index": 36, "statements": [["and", ["lying", 6], ["telling-truth", 3]], ["lying", 0], ["<=>", ["telling-truth", 1], ["telling-truth", 0]], ["->", ["telling-truth", 1], ["lying", 2]], ["->", ["telling-truth", 0], ["lying", 5]], ["not", ["telling-truth", 0]], ["->", ["lying", ...
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 7 inhabitants: Noah, Jacob, Samuel, Elizabeth, Lucas, Amelia, and Penelope. "Noah is an altruist and Elizabeth is an egoist" - Noah. Jacob said that Lucas is an altruist. Samuel said that ...
Noah is an egoist, Jacob is an altruist, Samuel is an altruist, Elizabeth is an egoist, Lucas is an altruist, Amelia is an altruist, and Penelope is an altruist.
{"source_dataset": "knights_knaves", "source_index": 37, "statements": [["and", ["telling-truth", 0], ["lying", 3]], ["not", ["lying", 4]], ["<=>", ["telling-truth", 6], ["telling-truth", 5]], ["telling-truth", 0], ["<=>", ["telling-truth", 4], ["telling-truth", 1]], ["->", ["lying", 2], ["lying", 3]], ["not", ["lying"...
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aria, Elizabeth, Henry, Amelia, Emily, Jack, and Benjamin. Aria said, "if Aria is a knight then Jack is a knave." Elizabeth said, "Benjamin is a knight and Aria is a knave." In He...
Aria is a knight, Elizabeth is a knave, Henry is a knave, Amelia is a knight, Emily is a knave, Jack is a knave, and Benjamin is a knight.
{"source_dataset": "knights_knaves", "source_index": 38, "statements": [["->", ["telling-truth", 0], ["lying", 5]], ["and", ["telling-truth", 6], ["lying", 0]], ["telling-truth", 5], ["or", ["lying", 1], ["lying", 0]], ["and", ["lying", 3], ["telling-truth", 1]], ["<=>", ["lying", 6], ["telling-truth", 0]], ["or", ["ly...
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 7 inhabitants: Samuel, Michael, Penelope, Olivia, Charlotte, Aria, and Emily. Samuel expressed that Michael is an altruist or Michael is an egoist. According to Michael, "Samuel is an egoi...
Samuel is an altruist, Michael is an egoist, Penelope is an egoist, Olivia is an altruist, Charlotte is an altruist, Aria is an egoist, and Emily is an egoist.
{"source_dataset": "knights_knaves", "source_index": 39, "statements": [["or", ["telling-truth", 1], ["lying", 1]], ["not", ["telling-truth", 0]], ["and", ["telling-truth", 6], ["lying", 5]], ["or", ["lying", 1], ["telling-truth", 1]], ["telling-truth", 0], ["<=>", ["lying", 2], ["lying", 4]], ["lying", 3]], "solution"...
A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 7 inhabitants: Sofia, Ava, Luke, Ella, Ethan, Chloe, and Benjamin. In a statement by Sofia: "Ava is a sinner if and only if Benjamin is a sinner". "if Ethan is a sinner then Luke is a saint" - A...
Sofia is a sinner, Ava is a saint, Luke is a saint, Ella is a saint, Ethan is a saint, Chloe is a saint, and Benjamin is a sinner.
{"source_dataset": "knights_knaves", "source_index": 40, "statements": [["<=>", ["lying", 1], ["lying", 6]], ["->", ["lying", 4], ["telling-truth", 2]], ["lying", 6], ["not", ["telling-truth", 6]], ["not", ["telling-truth", 6]], ["->", ["telling-truth", 1], ["telling-truth", 2]], ["<=>", ["lying", 3], ["telling-truth",...
A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 7 inhabitants: Samuel, Mia, Henry, Evelyn, Daniel, Grace, and Sofia. "Mia is a laggard," Samuel mentioned. In a statement by Mia: "Daniel is a laggard". Henry said, "Mia is a pioneer or Sa...
Samuel is a laggard, Mia is a pioneer, Henry is a pioneer, Evelyn is a pioneer, Daniel is a laggard, Grace is a laggard, and Sofia is a pioneer.
{"source_dataset": "knights_knaves", "source_index": 41, "statements": [["not", ["telling-truth", 1]], ["not", ["telling-truth", 4]], ["or", ["telling-truth", 1], ["telling-truth", 0]], ["<=>", ["lying", 6], ["telling-truth", 4]], ["or", ["lying", 3], ["lying", 1]], ["and", ["lying", 2], ["lying", 1]], ["->", ["lying",...
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 7 inhabitants: Sofia, Aiden, David, Evelyn, Ethan, Ava, and Henry. Sofia stated, "Aiden is an altruist". Aiden said that Evelyn is an egoist if and only if Evelyn is an altruist. "Henry is...
Sofia is an egoist, Aiden is an egoist, David is an altruist, Evelyn is an altruist, Ethan is an egoist, Ava is an altruist, and Henry is an altruist.
{"source_dataset": "knights_knaves", "source_index": 42, "statements": [["telling-truth", 1], ["<=>", ["lying", 3], ["telling-truth", 3]], ["telling-truth", 6], ["not", ["telling-truth", 0]], ["and", ["lying", 5], ["lying", 0]], ["lying", 0], ["->", ["telling-truth", 0], ["lying", 1]]], "solution": [false, false, true,...
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Avery, Jacob, Matthew, Riley, Oliver, Jack, and Owen. Avery was heard saying, "Jack is a knight if and only if Jack is a knave". Jacob stated, "Avery is a knave". Matthew remarked...
Avery is a knave, Jacob is a knight, Matthew is a knight, Riley is a knight, Oliver is a knight, Jack is a knight, and Owen is a knight.
{"source_dataset": "knights_knaves", "source_index": 43, "statements": [["<=>", ["telling-truth", 5], ["lying", 5]], ["lying", 0], ["<=>", ["telling-truth", 6], ["telling-truth", 5]], ["<=>", ["telling-truth", 0], ["lying", 1]], ["telling-truth", 1], ["->", ["lying", 6], ["lying", 2]], ["->", ["lying", 0], ["telling-tr...
A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 7 inhabitants: Jack, Ava, Noah, Charlotte, Mia, Grace, and Aurora. Jack remarked, "Grace is a villain". "if Aurora is a villain then Grace is a villain," Ava claimed. "Charlotte is a hero or Ava...
Jack is a hero, Ava is a hero, Noah is a hero, Charlotte is a hero, Mia is a hero, Grace is a villain, and Aurora is a hero.
{"source_dataset": "knights_knaves", "source_index": 44, "statements": [["not", ["telling-truth", 5]], ["->", ["lying", 6], ["lying", 5]], ["or", ["telling-truth", 3], ["lying", 1]], ["->", ["lying", 1], ["lying", 4]], ["->", ["telling-truth", 5], ["lying", 6]], ["lying", 4], ["not", ["telling-truth", 5]]], "solution":...
A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 7 inhabitants: Liam, Ella, Aurora, William, Aria, Sophia, and Joseph. "Sophia is a villain and Ella is a hero," Liam claimed. Ella stated, "Sophia is a hero if and only if Liam is a villain". Au...
Liam is a villain, Ella is a hero, Aurora is a hero, William is a villain, Aria is a hero, Sophia is a hero, and Joseph is a hero.
{"source_dataset": "knights_knaves", "source_index": 45, "statements": [["and", ["lying", 5], ["telling-truth", 1]], ["<=>", ["telling-truth", 5], ["lying", 0]], ["->", ["telling-truth", 4], ["lying", 0]], ["or", ["lying", 2], ["telling-truth", 0]], ["or", ["telling-truth", 0], ["telling-truth", 6]], ["<=>", ["lying", ...
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 7 inhabitants: Sophia, Evelyn, Aurora, Avery, Jack, Scarlett, and Liam. "Jack is an egoist and Liam is an egoist," Sophia claimed. Evelyn expressed that Jack is an altruist and Avery is an...
Sophia is an egoist, Evelyn is an egoist, Aurora is an egoist, Avery is an altruist, Jack is an altruist, Scarlett is an egoist, and Liam is an altruist.
{"source_dataset": "knights_knaves", "source_index": 46, "statements": [["and", ["lying", 4], ["lying", 6]], ["and", ["telling-truth", 4], ["lying", 3]], ["lying", 4], ["or", ["telling-truth", 5], ["telling-truth", 4]], ["->", ["lying", 3], ["lying", 6]], ["not", ["lying", 1]], ["not", ["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 7 inhabitants: Victoria, Emily, Lucas, Isabella, Noah, Michael, and Luke. Victoria noted, "Lucas is a fool". Emily remarked, "Isabella is a sage and Lucas is a sage". "Luke is a sage," Lucas mentioned...
Victoria is a sage, Emily is a fool, Lucas is a fool, Isabella is a sage, Noah is a fool, Michael is a sage, and Luke is a fool.
{"source_dataset": "knights_knaves", "source_index": 47, "statements": [["lying", 2], ["and", ["telling-truth", 3], ["telling-truth", 2]], ["telling-truth", 6], ["->", ["lying", 0], ["telling-truth", 6]], ["not", ["lying", 1]], ["or", ["telling-truth", 5], ["telling-truth", 6]], ["or", ["lying", 5], ["lying", 3]]], "so...
A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 7 inhabitants: Ella, Sofia, Victoria, Benjamin, Jackson, Jack, and Logan. Ella commented, "Victoria is a laggard or Sofia is a laggard". Sofia told you that Jack is a laggard if and only i...
Ella is a pioneer, Sofia is a laggard, Victoria is a pioneer, Benjamin is a pioneer, Jackson is a pioneer, Jack is a pioneer, and Logan is a pioneer.
{"source_dataset": "knights_knaves", "source_index": 48, "statements": [["or", ["lying", 2], ["lying", 1]], ["<=>", ["lying", 5], ["telling-truth", 3]], ["<=>", ["lying", 6], ["lying", 0]], ["->", ["lying", 2], ["telling-truth", 4]], ["<=>", ["telling-truth", 5], ["telling-truth", 0]], ["not", ["lying", 6]], ["or", ["t...
A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 7 inhabitants: Jacob, Amelia, Oliver, Sofia, Chloe, Emma, and Scarlett. As Jacob put it, "if Oliver is a devil then Amelia is an angel". Amelia was heard saying, "Jacob is an angel if and only if ...
Jacob is an angel, Amelia is a devil, Oliver is an angel, Sofia is a devil, Chloe is an angel, Emma is a devil, and Scarlett is a devil.
{"source_dataset": "knights_knaves", "source_index": 49, "statements": [["->", ["lying", 2], ["telling-truth", 1]], ["<=>", ["telling-truth", 0], ["telling-truth", 5]], ["<=>", ["lying", 3], ["lying", 5]], ["lying", 2], ["or", ["telling-truth", 3], ["telling-truth", 0]], ["<=>", ["lying", 3], ["lying", 0]], ["not", ["t...
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Daniel, Jack, Emily, Sophia, Avery, Chloe, and Ella. In Daniel's words: "Jack is a knight". According to Jack, "Chloe is a knight or Ella is a knight". Emily said that Ella is a k...
Daniel is a knave, Jack is a knave, Emily is a knight, Sophia is a knight, Avery is a knight, Chloe is a knave, and Ella is a knave.
{"source_dataset": "knights_knaves", "source_index": 50, "statements": [["not", ["lying", 1]], ["or", ["telling-truth", 5], ["telling-truth", 6]], ["not", ["telling-truth", 6]], ["lying", 5], ["<=>", ["telling-truth", 0], ["telling-truth", 5]], ["<=>", ["lying", 1], ["telling-truth", 5]], ["lying", 3]], "solution": [fa...
A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 7 inhabitants: Jacob, Scarlett, Emma, Michael, Jack, Penelope, and Owen. "Emma is a devil if and only if Penelope is a devil," Jacob claimed. "Emma is a devil if and only if Michael is an angel" -...
Jacob is a devil, Scarlett is an angel, Emma is a devil, Michael is an angel, Jack is an angel, Penelope is an angel, and Owen is an angel.
{"source_dataset": "knights_knaves", "source_index": 51, "statements": [["<=>", ["lying", 2], ["lying", 5]], ["<=>", ["lying", 2], ["telling-truth", 3]], ["and", ["lying", 0], ["telling-truth", 0]], ["not", ["telling-truth", 0]], ["telling-truth", 1], ["or", ["lying", 3], ["telling-truth", 1]], ["->", ["lying", 1], ["t...
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Michael, Luke, Joseph, Ella, Samuel, Sophia, and Benjamin. Michael said, "if Luke is a knave then Sophia is a knave." Luke told you that Sophia is a knight or Benjamin is a knight...
Michael is a knight, Luke is a knight, Joseph is a knight, Ella is a knave, Samuel is a knave, Sophia is a knave, and Benjamin is a knight.
{"source_dataset": "knights_knaves", "source_index": 52, "statements": [["->", ["lying", 1], ["lying", 5]], ["or", ["telling-truth", 5], ["telling-truth", 6]], ["->", ["telling-truth", 3], ["telling-truth", 0]], ["not", ["telling-truth", 0]], ["not", ["telling-truth", 1]], ["not", ["telling-truth", 0]], ["<=>", ["telli...
A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 7 inhabitants: Avery, Isabella, Victoria, Aria, Grace, Ethan, and Noah. Avery expressed that Victoria is a sage if and only if Ethan is a fool. "Ethan is a fool and Victoria is a sage," Isabella menti...
Avery is a sage, Isabella is a fool, Victoria is a fool, Aria is a sage, Grace is a sage, Ethan is a sage, and Noah is a sage.
{"source_dataset": "knights_knaves", "source_index": 53, "statements": [["<=>", ["telling-truth", 2], ["lying", 5]], ["and", ["lying", 5], ["telling-truth", 2]], ["<=>", ["lying", 4], ["telling-truth", 0]], ["or", ["telling-truth", 1], ["telling-truth", 4]], ["or", ["telling-truth", 0], ["telling-truth", 6]], ["telling...
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 7 inhabitants: Charlotte, Olivia, Owen, Mia, Mason, Benjamin, and Elizabeth. Charlotte was heard saying, "Elizabeth is an egoist". As Olivia put it, "Mia is an egoist if and only if Owen i...
Charlotte is an egoist, Olivia is an egoist, Owen is an egoist, Mia is an egoist, Mason is an egoist, Benjamin is an altruist, and Elizabeth is an altruist.
{"source_dataset": "knights_knaves", "source_index": 54, "statements": [["not", ["telling-truth", 6]], ["<=>", ["lying", 3], ["telling-truth", 2]], ["and", ["telling-truth", 5], ["telling-truth", 4]], ["and", ["lying", 0], ["lying", 5]], ["or", ["lying", 5], ["telling-truth", 3]], ["or", ["lying", 0], ["lying", 4]], ["...
A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 7 inhabitants: Oliver, Sophia, Joseph, Michael, David, Aurora, and Noah. Oliver commented, "if David is a pioneer then Aurora is a laggard". Sophia was heard saying, "Noah is a laggard". "...
Oliver is a pioneer, Sophia is a laggard, Joseph is a laggard, Michael is a pioneer, David is a laggard, Aurora is a pioneer, and Noah is a pioneer.
{"source_dataset": "knights_knaves", "source_index": 55, "statements": [["->", ["telling-truth", 4], ["lying", 5]], ["not", ["telling-truth", 6]], ["and", ["telling-truth", 6], ["lying", 3]], ["telling-truth", 6], ["and", ["lying", 5], ["lying", 6]], ["not", ["lying", 3]], ["->", ["telling-truth", 3], ["lying", 1]]], "...
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: James, Henry, Samuel, Jacob, Sebastian, Ella, and Penelope. James expressed that Penelope is a knave and James is a knight. Henry expressed that Samuel is a knight. Samuel said th...
James is a knave, Henry is a knight, Samuel is a knight, Jacob is a knave, Sebastian is a knight, Ella is a knave, and Penelope is a knight.
{"source_dataset": "knights_knaves", "source_index": 56, "statements": [["and", ["lying", 6], ["telling-truth", 0]], ["not", ["lying", 2]], ["<=>", ["telling-truth", 2], ["telling-truth", 1]], ["not", ["lying", 5]], ["or", ["telling-truth", 3], ["telling-truth", 2]], ["and", ["telling-truth", 0], ["lying", 2]], ["->", ...
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 7 inhabitants: Benjamin, Noah, Zoey, Owen, Lily, Penelope, and Ava. As Benjamin put it, "Penelope is an egoist or Ava is an altruist". Noah expressed that Penelope is an egoist. "Benjamin ...
Benjamin is an altruist, Noah is an altruist, Zoey is an altruist, Owen is an egoist, Lily is an egoist, Penelope is an egoist, and Ava is an egoist.
{"source_dataset": "knights_knaves", "source_index": 57, "statements": [["or", ["lying", 5], ["telling-truth", 6]], ["not", ["telling-truth", 5]], ["and", ["telling-truth", 0], ["telling-truth", 1]], ["not", ["telling-truth", 1]], ["not", ["telling-truth", 2]], ["<=>", ["lying", 4], ["lying", 1]], ["lying", 1]], "solut...
A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 7 inhabitants: Aria, Logan, Ethan, Luke, Scarlett, Avery, and Amelia. In Aria's words: "Amelia is a sage". Logan commented, "Luke is a fool if and only if Ethan is a sage". According to Ethan, "Ethan ...
Aria is a fool, Logan is a fool, Ethan is a sage, Luke is a sage, Scarlett is a sage, Avery is a sage, and Amelia is a fool.
{"source_dataset": "knights_knaves", "source_index": 58, "statements": [["not", ["lying", 6]], ["<=>", ["lying", 3], ["telling-truth", 2]], ["<=>", ["telling-truth", 2], ["telling-truth", 5]], ["or", ["lying", 1], ["telling-truth", 2]], ["or", ["lying", 1], ["lying", 3]], ["->", ["lying", 0], ["telling-truth", 2]], ["a...
A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 7 inhabitants: Avery, Henry, Michael, Sophia, Sofia, Mason, and Emma. Avery asserted: "Mason is a sinner". "Avery is a saint" - Henry. Michael stated, "if Avery is a saint then Henry is a saint"...
Avery is a saint, Henry is a saint, Michael is a saint, Sophia is a saint, Sofia is a saint, Mason is a sinner, and Emma is a saint.
{"source_dataset": "knights_knaves", "source_index": 59, "statements": [["not", ["telling-truth", 5]], ["telling-truth", 0], ["->", ["telling-truth", 0], ["telling-truth", 1]], ["->", ["lying", 6], ["telling-truth", 4]], ["->", ["lying", 3], ["telling-truth", 2]], ["lying", 2], ["->", ["telling-truth", 5], ["lying", 5]...
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Matthew, Abigail, Jack, Zoey, Alexander, Sophia, and Aria. In Matthew's words: "Jack is a knave or Zoey is a knight". Abigail asserted: "Jack is a knave if and only if Aria is a k...
Matthew is a knave, Abigail is a knave, Jack is a knight, Zoey is a knave, Alexander is a knave, Sophia is a knave, and Aria is a knight.
{"source_dataset": "knights_knaves", "source_index": 60, "statements": [["or", ["lying", 2], ["telling-truth", 3]], ["<=>", ["lying", 2], ["telling-truth", 6]], ["or", ["lying", 4], ["lying", 6]], ["<=>", ["lying", 4], ["telling-truth", 1]], ["or", ["telling-truth", 0], ["telling-truth", 1]], ["not", ["telling-truth", ...
A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 7 inhabitants: Chloe, Emily, Aria, Elizabeth, Evelyn, Michael, and Luke. Chloe remarked, "Luke is a pioneer and Aria is a pioneer". In Emily's words: "Evelyn is a laggard if and only if Ch...
Chloe is a laggard, Emily is a pioneer, Aria is a laggard, Elizabeth is a laggard, Evelyn is a pioneer, Michael is a laggard, and Luke is a laggard.
{"source_dataset": "knights_knaves", "source_index": 61, "statements": [["and", ["telling-truth", 6], ["telling-truth", 2]], ["<=>", ["lying", 4], ["telling-truth", 0]], ["and", ["telling-truth", 5], ["lying", 1]], ["telling-truth", 5], ["lying", 3], ["telling-truth", 6], ["and", ["lying", 4], ["telling-truth", 3]]], "...
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: David, Logan, Liam, Ethan, Ella, Elizabeth, and Olivia. As David put it, "Logan is a knave and Olivia is a knave". "Olivia is a knight or Olivia is a knave," Logan mentioned. Liam...
David is a knave, Logan is a knight, Liam is a knave, Ethan is a knave, Ella is a knight, Elizabeth is a knight, and Olivia is a knave.
{"source_dataset": "knights_knaves", "source_index": 62, "statements": [["and", ["lying", 1], ["lying", 6]], ["or", ["telling-truth", 6], ["lying", 6]], ["and", ["telling-truth", 4], ["telling-truth", 6]], ["not", ["telling-truth", 1]], ["->", ["telling-truth", 1], ["lying", 3]], ["->", ["telling-truth", 6], ["telling-...
A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 7 inhabitants: Jackson, Evelyn, Michael, Liam, Abigail, Amelia, and Sophia. "Abigail is a saint or Sophia is a sinner" - Jackson. Evelyn said that Michael is a sinner and Abigail is a sinner. "A...
Jackson is a saint, Evelyn is a sinner, Michael is a saint, Liam is a saint, Abigail is a sinner, Amelia is a saint, and Sophia is a sinner.
{"source_dataset": "knights_knaves", "source_index": 63, "statements": [["or", ["telling-truth", 4], ["lying", 6]], ["and", ["lying", 2], ["lying", 4]], ["<=>", ["telling-truth", 4], ["lying", 5]], ["->", ["lying", 4], ["lying", 6]], ["not", ["lying", 6]], ["or", ["telling-truth", 0], ["telling-truth", 3]], ["and", ["t...
A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 7 inhabitants: Riley, Joseph, Lily, Alexander, Scarlett, Avery, and Michael. Riley commented, "Scarlett is a villain or Michael is a hero". Joseph commented, "Scarlett is a hero and Avery is a h...
Riley is a hero, Joseph is a hero, Lily is a hero, Alexander is a hero, Scarlett is a hero, Avery is a hero, and Michael is a hero.
{"source_dataset": "knights_knaves", "source_index": 64, "statements": [["or", ["lying", 4], ["telling-truth", 6]], ["and", ["telling-truth", 4], ["telling-truth", 5]], ["->", ["lying", 6], ["lying", 0]], ["or", ["telling-truth", 4], ["lying", 1]], ["->", ["lying", 1], ["lying", 2]], ["<=>", ["telling-truth", 0], ["tel...
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 7 inhabitants: Aiden, David, Lily, Jack, Oliver, Benjamin, and Samuel. As Aiden put it, "David is a knight if and only if Lily is a knave". David said that Samuel is a knave and Lily is a knight...
Aiden is a knave, David is a knave, Lily is a knave, Jack is a knave, Oliver is a knight, Benjamin is a knave, and Samuel is a knave.
{"source_dataset": "knights_knaves", "source_index": 65, "statements": [["<=>", ["telling-truth", 1], ["lying", 2]], ["and", ["lying", 6], ["telling-truth", 2]], ["<=>", ["telling-truth", 1], ["lying", 1]], ["and", ["telling-truth", 4], ["telling-truth", 2]], ["->", ["telling-truth", 5], ["lying", 2]], ["and", ["tellin...
A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 7 inhabitants: Jackson, Oliver, Daniel, James, Lucas, Emily, and Lily. Jackson expressed that Lily is an altruist. Oliver said, "Daniel is an altruist or Lucas is an altruist." "Lily is an...
Jackson is an altruist, Oliver is an altruist, Daniel is an egoist, James is an egoist, Lucas is an altruist, Emily is an altruist, and Lily is an altruist.
{"source_dataset": "knights_knaves", "source_index": 66, "statements": [["telling-truth", 6], ["or", ["telling-truth", 2], ["telling-truth", 4]], ["and", ["lying", 6], ["telling-truth", 2]], ["and", ["lying", 2], ["telling-truth", 2]], ["or", ["telling-truth", 1], ["lying", 2]], ["->", ["lying", 0], ["telling-truth", 4...
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