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reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Jacob, Elizabeth, Emily, Benjamin, Ella, Victoria, Isabella, Matthew, and Penelope. Jacob told you that (if Emily is a laggard then Penelope is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1388, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 8]], [\"not\", [\"lying\", 4]]], [\"->\", [\"lying\", 2], [\"telling-truth\", 6]], [\"and\", [\"lying\", 6], [\"<=>\", [\"telling-truth\", 0], [\"ly...
{"split": "train", "index": 12500}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Penelope, Mason, Alexander, Riley, Mia, Harper, Aurora, Scarlett, and Ethan. Penelope remarked, \"(Aurora is a pioneer) and (Riley is a laggard...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1389, \"statements\": [[\"and\", [\"not\", [\"lying\", 6]], [\"or\", [\"lying\", 3], [\"telling-truth\", 0], [\"lying\", 7]], [\"or\", [\"lying\", 4], [\"lying\", 6], [\"telling-truth\", 4], [\"lying\", 5]], [\"and\", [\"lying...
{"split": "train", "index": 12501}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Benjamin, Matthew, James, Amelia, Harper, Lucas, Sebastian, Penelope, and Charlotte. Benjamin expressed that it is not the case that (if James is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1390, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 6]]], [\"or\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"lying\", 6], [\"lying\", 0]]], [\"telling-truth\", 4], [\"not\", [\"not\", [\"telling...
{"split": "train", "index": 12502}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Jackson, Alexander, Liam, Owen, James, Penelope, Aria, Riley, and Victoria. Jackson expressed that if (Victoria is a villain if and only if Victoria ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1391, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"lying\", 8], [\"lying\", 0], [\"telling-truth\", 7], [\"telling-truth\", 2]], [\"or\",...
{"split": "train", "index": 12503}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Michael, David, Penelope, Emily, Sophia, William, Aurora, Daniel, and Lily. \"(Penelope is an altruist if and only if Aurora is an altruist) or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1392, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 7], [\"telling-truth\", 2], [...
{"split": "train", "index": 12504}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: William, Charlotte, Elizabeth, Chloe, Luke, David, Michael, Sebastian, and Joseph. \"David is a laggard\" - William. Charlotte told you that (C...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1393, \"statements\": [[\"lying\", 5], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 0]], [\"not\", [\"telling-truth\", 7]]], [\"telling-truth\", 7], [\"or\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\"...
{"split": "train", "index": 12505}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Michael, Harper, Jacob, Logan, Owen, Ethan, William, Benjamin, and Liam. In Michael's words: \"it is not the case that (Owen is a knave or Owen is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1394, \"statements\": [[\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"lying\", 3]]], [\"not\", [\"and\", [\"lying\", 8], [\"telling-truth\", 6]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 7], [\"t...
{"split": "train", "index": 12506}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Oliver, Charlotte, Aiden, Luke, Lily, Benjamin, Owen, Matthew, and Joseph. Oliver commented, \"Lily is a sinner\". Charlotte noted, \"Owen is a sinne...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1395, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"lying\", 6], [\"not\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 5]]], [\"<=>\", [\"not\", [\"lying\", 0]], [\"and\", [\"telling-truth\", 8], [\"lying\", 0]]], [...
{"split": "train", "index": 12507}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Sofia, Chloe, Charlotte, Liam, Scarlett, Evelyn, Joseph, David, and Harper. Sofia told you that (Liam is a knave or Charlotte is a knave) if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1396, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"lying\", 3], [\"lying\", 1]]], [\"and\", [\"lying\", 0], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 8]]], [\"->\", [\"telling-t...
{"split": "train", "index": 12508}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: James, Alexander, Jack, William, Zoey, Grace, Ella, Logan, and Lucas. James said, \"(Grace is an altruist) and (if Jack is an altruist then Wil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1397, \"statements\": [[\"and\", [\"not\", [\"lying\", 5]], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 7]], [\"->\", [\"lying\", 7], [\"telling-truth\", 1]]], [\"or\", [\"or...
{"split": "train", "index": 12509}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Mia, Ella, Harper, Oliver, Sophia, Liam, James, Riley, and Penelope. \"(Riley is a saint and Penelope is a saint and James is a sinner) or (James is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1398, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 8], [\"lying\", 6]], [\"or\", [\"lying\", 6], [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 5]], [\"lying\", 8]], [\"telling-truth\", ...
{"split": "train", "index": 12510}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Benjamin, Daniel, James, Michael, Jacob, Luke, Amelia, Olivia, and Harper. \"(James is a saint if and only if Daniel is a saint) if and only if (Amel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1399, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"lying\", 8], [\"telling-truth\", 4]]], [\"telling-tr...
{"split": "train", "index": 12511}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Ava, Emma, Sophia, Oliver, Mia, Aria, Michael, Liam, and Riley. \"Emma is an egoist,\" Ava claimed. According to Emma, \"it is not the case tha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1400, \"statements\": [[\"lying\", 1], [\"not\", [\"not\", [\"telling-truth\", 7]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 6]], [\"lying\", 4], [\"and\", [\"not\", [\"lying\", ...
{"split": "train", "index": 12512}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Jacob, Oliver, Chloe, Joseph, Jack, James, Benjamin, Sofia, and Mason. \"Sofia is an egoist,\" Jacob mentioned. As Oliver put it, \"if Jack is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1401, \"statements\": [[\"lying\", 7], [\"->\", [\"telling-truth\", 4], [\"not\", [\"lying\", 0]]], [\"telling-truth\", 5], [\"telling-truth\", 8], [\"not\", [\"telling-truth\", 5]], [\"and\", [\"not\", [\"lying\", 0]], [\"and...
{"split": "train", "index": 12513}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Elizabeth, Ethan, Aiden, Oliver, Jackson, Henry, Luke, Jacob, and Penelope. \"it is not the case that (Jacob is an altruist if and only if Aide...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1402, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 2]]], [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\...
{"split": "train", "index": 12514}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Michael, Elizabeth, Aria, Chloe, Riley, Liam, Lily, Sebastian, and Harper. Michael was heard saying, \"if Sebastian is a villain then (Liam is a hero...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1403, \"statements\": [[\"->\", [\"lying\", 7], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 6]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 5], [\"lying\", 4], [\"telling-truth\", 4]]], [\"->\", ...
{"split": "train", "index": 12515}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Liam, Chloe, Ava, Henry, Jacob, Logan, Evelyn, Zoey, and Benjamin. Liam told you that (if Benjamin is a pioneer then Ava is a laggard) if and o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1404, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 8], [\"lying\", 2]], [\"telling-truth\", 3]], [\"or\", [\"->\", [\"lying\", 5], [\"telling-truth\", 5]], [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"and\"...
{"split": "train", "index": 12516}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Victoria, Liam, Lily, Penelope, Mason, David, Jackson, Aria, and Jacob. \"it is not the case that (if Penelope is a sage then Lily is a sage),\" Victoria m...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1405, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 6]], [\"->\", [\"lying\", ...
{"split": "train", "index": 12517}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Ethan, David, Sophia, Daniel, Mia, Chloe, Matthew, Amelia, and Oliver. \"if Daniel is a sinner then (Amelia is a sinner and Daniel is a saint and Sop...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1406, \"statements\": [[\"->\", [\"lying\", 3], [\"and\", [\"lying\", 7], [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"lying\", 8], [\"telling-truth\", 7]], [\"and\", [\"lying\", 8], [\"telling-truth\...
{"split": "train", "index": 12518}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Mason, Harper, Aurora, Zoey, Joseph, Chloe, Grace, William, and Benjamin. Mason commented, \"it is not the case that (Aurora is a laggard)\". H...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1407, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 8]]], [\"and\", [\"<=>\", [\"telling-truth\...
{"split": "train", "index": 12519}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Noah, Scarlett, Logan, David, Aria, Owen, Alexander, Matthew, and Ethan. In a statement by Noah: \"(David is a devil and Alexander is a devil) and (Dav...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1408, \"statements\": [[\"and\", [\"and\", [\"lying\", 3], [\"lying\", 6]], [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 8], [\"lying\", 6], [\"lying\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", ...
{"split": "train", "index": 12520}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Emily, Lucas, Elizabeth, Zoey, Aria, Liam, Luke, Emma, and Owen. Emily said, \"it is not the case that (Zoey is an altruist or Elizabeth is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1409, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 5], [\"telling-truth\", 6]]], [\"<=>\", [\"not\", [\"telling-truth\", 7]], [\"and\", [\"lying\", 0], [\"lying\", 6], [\"telling-trut...
{"split": "train", "index": 12521}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: James, Harper, Jack, Jacob, Ella, Daniel, Riley, Alexander, and Samuel. \"it is not the case that (Harper is a laggard if and only if Harper is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1410, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"lying\", 7], [\"lying\", 6], [\"telling-truth\", 6], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 5], [\"lying...
{"split": "train", "index": 12522}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Daniel, Aurora, Elizabeth, Noah, Ava, Michael, Mason, Benjamin, and Penelope. Daniel said that (Ava is a saint and Noah is a sinner) if and only if (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1411, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"lying\", 8], [\"lying\", 7]]], [\"->\", [\"or\", [\"lying\", 3], [\...
{"split": "train", "index": 12523}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Benjamin, Evelyn, Noah, Henry, William, Jack, Zoey, Riley, and Aria. Benjamin stated, \"(Noah is a hero if and only if Aria is a hero) and (Jack is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1412, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 5], [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 5]]], [\"not\", [\"or\", [\"telling-truth\", 5],...
{"split": "train", "index": 12524}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Noah, Oliver, Alexander, Lily, Chloe, Liam, Scarlett, Luke, and Jacob. Noah expressed that Noah is a saint. \"(Jacob is a saint) or (if Liam is a sin...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1413, \"statements\": [[\"telling-truth\", 0], [\"or\", [\"not\", [\"lying\", 8]], [\"->\", [\"lying\", 5], [\"telling-truth\", 6]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 5]]], [\"not\", [\"<=>\", [\...
{"split": "train", "index": 12525}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Isabella, Amelia, Elizabeth, Victoria, Olivia, Aiden, Samuel, David, and Penelope. Isabella said, \"it is not the case that (Elizabeth is a hero if a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1414, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"lying\", 8], [\"lying\", 6], [\"lying\", 0]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 6]], [\"->\", [\"ly...
{"split": "train", "index": 12526}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Olivia, William, Jackson, Aria, Mason, Noah, Lily, Henry, and Ethan. \"(William is a saint if and only if Aria is a sinner) and Mason is a sinner and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1415, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"lying\", 4], [\"and\", [\"lying\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 8]], [\"and\", [\"not\", [\"telling-truth\", 7]], [\"or...
{"split": "train", "index": 12527}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: William, Zoey, Harper, Owen, Ella, Abigail, Henry, Chloe, and Michael. William commented, \"(Ella is a sinner if and only if Zoey is a saint) and (Ab...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1416, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 7], [\"lying\", 8]]], [\"not\", [\"not\", [\"telling-truth\", ...
{"split": "train", "index": 12528}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Lily, Jackson, Sophia, Mason, Logan, Matthew, William, Penelope, and Lucas. \"Matthew is an angel\" - Lily. \"Penelope is an angel if and only if (Soph...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1417, \"statements\": [[\"telling-truth\", 5], [\"<=>\", [\"telling-truth\", 7], [\"and\", [\"lying\", 2], [\"telling-truth\", 5], [\"telling-truth\", 8], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"...
{"split": "train", "index": 12529}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Liam, Michael, Penelope, Samuel, Harper, Riley, Avery, Elizabeth, and Sophia. Liam commented, \"(Harper is a devil and Michael is a devil and Sophia is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1418, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"t...
{"split": "train", "index": 12530}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Jacob, Sophia, Mia, Ava, Evelyn, Lily, Chloe, Abigail, and Victoria. In Jacob's words: \"(Sophia is an egoist if and only if Sophia is an altru...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1419, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"<=>\", [\"or\", [\"lying\", 6], [\"lying\", 5], [\"lying\", 7], [\"lying\", 4]], [\"or\", [\"ly...
{"split": "train", "index": 12531}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Owen, Alexander, Grace, Henry, Elizabeth, Lily, Mason, Sofia, and Aurora. Owen was heard saying, \"(if Aurora is an angel then Elizabeth is an angel) a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1420, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"telling-truth\", 7], [\"lying\", 1], [\"or\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"lying\", 4], [\"tellin...
{"split": "train", "index": 12532}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Sebastian, Lily, Mason, Mia, Luke, Logan, Sophia, Harper, and Scarlett. Sebastian noted, \"(Scarlett is a laggard or Logan is a laggard) or (Lo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1421, \"statements\": [[\"or\", [\"or\", [\"lying\", 8], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 7]], [\"or\", [\"lying\", 8], [\"lying\", 3]]], ...
{"split": "train", "index": 12533}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Avery, Jackson, Liam, Aurora, Riley, Aria, Emily, Elizabeth, and William. According to Avery, \"(if Aurora is a sinner then Aria is a sinner) and (Ar...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1422, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"lying\", 5]], [\"not\", [\"lying\", 5]], [\"or\", [\"lying\", 5], [\"telling-truth\", 4]], [\"telling-truth\", 1]], [\"telling-truth\", 3], [\"or\", [\"<=>\", [\"tel...
{"split": "train", "index": 12534}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: David, Olivia, William, Sebastian, Jackson, Alexander, Zoey, Noah, and Penelope. According to David, \"Noah is an angel or (Alexander is a devil and Se...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1423, \"statements\": [[\"or\", [\"telling-truth\", 7], [\"and\", [\"lying\", 5], [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 7]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4],...
{"split": "train", "index": 12535}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Jacob, Sophia, Chloe, Aiden, Isabella, James, Joseph, Jackson, and Jack. According to Jacob, \"Sophia is a pioneer\". \"James is a pioneer,\" S...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1424, \"statements\": [[\"telling-truth\", 1], [\"telling-truth\", 5], [\"and\", [\"lying\", 4], [\"->\", [\"lying\", 0], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0], [\"lying\", 6]]], [\"<=>\", [\...
{"split": "train", "index": 12536}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Henry, Mason, Victoria, Aria, Aurora, Evelyn, Sebastian, Ella, and James. Henry remarked, \"Evelyn is a pioneer\". In Mason's words: \"it is no...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1425, \"statements\": [[\"telling-truth\", 5], [\"not\", [\"and\", [\"telling-truth\", 8], [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 5]]], [\"and\", [\"and\", [\"lying\", 5], [\"telling-truth\", 5]], [\"telli...
{"split": "train", "index": 12537}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Sophia, Avery, Ella, David, Jack, Chloe, Daniel, Olivia, and Luke. In Sophia's words: \"Chloe is an angel\". Avery expressed that if (Luke is a devil) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1426, \"statements\": [[\"telling-truth\", 5], [\"->\", [\"not\", [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 8]], [\"and\", [\"telling-tr...
{"split": "train", "index": 12538}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Joseph, Olivia, Henry, Evelyn, Emily, Jackson, Michael, Ella, and Noah. Joseph said, \"if (Henry is a sinner) then (Olivia is a saint or Olivia is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1427, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 1], [\"lying\", 1], [\"telling-truth\", 7], [\"lying\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 5], [\"lying\", 6], [\"telli...
{"split": "train", "index": 12539}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Aurora, Noah, Sophia, Aria, Riley, Emma, Owen, William, and Lily. Aurora stated, \"Noah is a knave\". Noah expressed that Noah is a knight. Sophia no...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1428, \"statements\": [[\"lying\", 1], [\"telling-truth\", 1], [\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 0]], [\"->\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 1]],...
{"split": "train", "index": 12540}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Penelope, Mia, Riley, Matthew, Logan, Aiden, Harper, Isabella, and Olivia. Penelope told you that if (Riley is a knave if and only if Logan is a knav...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1429, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 5]]], [\"<=>\", [\"telling-truth\", 8], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 8], ...
{"split": "train", "index": 12541}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Aiden, Penelope, James, Isabella, Victoria, Emily, William, Luke, and Jack. \"(Luke is a pioneer and Jack is a pioneer and William is a laggard...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1430, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 8], [\"lying\", 6]], [\"telling-truth\", 6]], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 0], [\"telling-truth\", 2]]...
{"split": "train", "index": 12542}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Aiden, Isabella, Ava, Aria, Matthew, Jack, Olivia, Zoey, and Liam. Aiden stated, \"if Jack is a villain then (Jack is a villain or Zoey is a villain)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1431, \"statements\": [[\"->\", [\"lying\", 5], [\"or\", [\"lying\", 5], [\"lying\", 7]]], [\"not\", [\"and\", [\"lying\", 8], [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\", 2]]], [\"lying\", 5], [\"and\", [\"not\...
{"split": "train", "index": 12543}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Aria, Liam, Victoria, Mason, Noah, Scarlett, Jack, Aurora, and Penelope. \"Noah is an egoist,\" Aria claimed. In Liam's words: \"(Penelope is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1432, \"statements\": [[\"lying\", 4], [\"or\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 0]]], [\"telling-truth\", 5], [\"->\", [\"<=>\", [\"telling-truth\...
{"split": "train", "index": 12544}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Sofia, Samuel, James, Jacob, Matthew, David, Oliver, Victoria, and William. \"if (if Oliver is a laggard then Oliver is a pioneer) then (Victor...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1433, \"statements\": [[\"->\", [\"->\", [\"lying\", 6], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 5]]], [\"or\", [\"lying\", 7], [\"->\", [\"lying\", 6], [\"telling-truth\", 3]], [\"and\",...
{"split": "train", "index": 12545}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Joseph, Liam, Samuel, Amelia, Luke, Emily, Sophia, Penelope, and Benjamin. In a statement by Joseph: \"if (Samuel is an egoist and Liam is an e...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1434, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"lying\", 1], [\"telling-truth\", 5], [\"lying\", 4]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 0]]], [\"<=>\", [\"and\", [\"lying\", 8], [\"lying\", 2], [\"lyin...
{"split": "train", "index": 12546}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Evelyn, Chloe, Penelope, Alexander, Oliver, Lily, Riley, Jackson, and Victoria. Evelyn remarked, \"(Oliver is a fool if and only if Victoria is a sage) if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1435, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"or\", [\"->\", [\"telling-truth\", 6], [\"lying\", 6]], [\"or\", [\"telling-truth\", 5],...
{"split": "train", "index": 12547}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Mason, Victoria, Michael, Grace, William, David, Luke, Sofia, and Jackson. As Mason put it, \"if (Jackson is a devil and David is a devil) then (Luke i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1436, \"statements\": [[\"->\", [\"and\", [\"lying\", 8], [\"lying\", 5]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 2], [\"lying\", 5], [\"lying\", 8]]], [\"not\", [\"->\", [\"telling-truth\", 7], [\"lying\", 8]]]...
{"split": "train", "index": 12548}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Mia, Sofia, Evelyn, Emily, Charlotte, James, Emma, Riley, and Aiden. \"if Emily is a laggard then (Evelyn is a laggard),\" Mia declared. Sofia ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1437, \"statements\": [[\"->\", [\"lying\", 3], [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 6]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"lying\", 1], [\"lying\", 4]], [...
{"split": "train", "index": 12549}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Chloe, Lily, Michael, William, Aria, Elizabeth, Aurora, Sebastian, and Daniel. Chloe noted, \"William is a knight or Sebastian is a knight\". In a st...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1438, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"lying\", 5], [\"lying\", 7]], [\"not\", [\"lying\...
{"split": "train", "index": 12550}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Emma, Lily, William, Riley, Michael, Charlotte, Evelyn, Daniel, and Owen. In a statement by Emma: \"(if Emma is an angel then Evelyn is an angel) if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1439, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"lying\", 7], [\"telling-truth\", 8], [\"telling-truth\", 4]]], [\"and\", [\"n...
{"split": "train", "index": 12551}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Benjamin, Oliver, Matthew, Lily, Alexander, Aiden, Samuel, Aria, and Avery. Benjamin expressed that Aiden is a sinner. Oliver said that (Benjamin is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1440, \"statements\": [[\"lying\", 5], [\"and\", [\"<=>\", [\"lying\", 0], [\"lying\", 4]], [\"->\", [\"lying\", 7], [\"lying\", 5]], [\"or\", [\"telling-truth\", 4], [\"lying\", 5], [\"lying\", 6]]], [\"and\", [\"->\", [\"lyi...
{"split": "train", "index": 12552}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Luke, Ethan, Sophia, Aiden, Evelyn, Aurora, Harper, Abigail, and Owen. In Luke's words: \"Aiden is a sage or (Harper is a fool or Aurora is a sage or Aiden...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1441, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"or\", [\"lying\", 6], [\"telling-truth\", 5], [\"lying\", 3], [\"lying\", 7]]], [\"or\", [\"or\", [\"telling-truth\", 8], [\"lying\", 6], [\"lying\", 0]], [\"or\", [\"...
{"split": "train", "index": 12553}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Evelyn, Michael, Charlotte, Harper, Samuel, Alexander, Zoey, Mia, and Daniel. According to Evelyn, \"Charlotte is a fool\". In Michael's words: \"(Evelyn i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1442, \"statements\": [[\"lying\", 2], [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 1], [\"lying\", 2]], [\"lying\", 5]], [\"...
{"split": "train", "index": 12554}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Emily, Harper, Henry, Amelia, Aria, Evelyn, Abigail, Emma, and Ava. Emily said, \"if (Emma is an altruist) then (Henry is an altruist and Harpe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1443, \"statements\": [[\"->\", [\"not\", [\"lying\", 7]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"or\", [\"lying\", 8], [\"<=>\", [\"lying\", 0], [\"lying\", 2]], [\"->\", [\"tel...
{"split": "train", "index": 12555}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: William, Aria, Aurora, Sophia, Jackson, Mason, Logan, Samuel, and Sofia. William expressed that (Jackson is a devil) and (Sophia is a devil if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1444, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 7]], [\"telling-truth\", 5]], [\"and\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-t...
{"split": "train", "index": 12556}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Emma, Chloe, Henry, Elizabeth, Olivia, Victoria, Matthew, Isabella, and Michael. Emma noted, \"(if Olivia is a villain then Matthew is a villain) if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1445, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 4], [\"lying\", 6]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 0]]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]], [\"lying\", 0]], [\"and\", [\"lying\", ...
{"split": "train", "index": 12557}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Harper, Jackson, David, Emily, Alexander, Benjamin, Luke, Olivia, and Penelope. As Harper put it, \"(David is a laggard) if and only if (Alexan...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1446, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 7], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 0]]], [\"or\", [\"...
{"split": "train", "index": 12558}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Ethan, Emma, Joseph, Benjamin, Grace, Amelia, Luke, Sofia, and Michael. \"(Michael is an angel if and only if Amelia is a devil) or (Emma is a devil if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1447, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 5]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"and\", [\"lying\", 1], [\"lying\", 5]]], [\"and\", [\"telling-truth\", 1], [\"and\", [\"t...
{"split": "train", "index": 12559}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Owen, Jack, Riley, Alexander, Amelia, Henry, Grace, Emily, and Oliver. \"it is not the case that (Emily is a sage),\" Owen declared. As Jack put it, \"it i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1448, \"statements\": [[\"not\", [\"not\", [\"lying\", 7]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"not\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 5]]], [\"<=>\", [\"or\", [\"telling-truth...
{"split": "train", "index": 12560}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Jacob, Elizabeth, Abigail, Mason, Grace, Henry, Olivia, Sophia, and Matthew. Jacob expressed that (Grace is a saint and Grace is a sinner and Elizabe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1449, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 1]], [\"and\", [\"lying\", 1], [\"telling-truth\", 0], [\"lying\", 7]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"lying\", 0]]...
{"split": "train", "index": 12561}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Daniel, Logan, James, Samuel, Owen, Penelope, Mia, Abigail, and Liam. \"Mia is a devil\" - Daniel. \"James is an angel,\" Logan claimed. James noted, \...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1450, \"statements\": [[\"lying\", 6], [\"telling-truth\", 2], [\"and\", [\"lying\", 4], [\"telling-truth\", 7], [\"or\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"lying\", 7], [\"or\", [\"or\", [\"lying\", 1], [\"lying\", ...
{"split": "train", "index": 12562}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Chloe, Liam, Jackson, Zoey, Logan, Matthew, Harper, Victoria, and Mia. Chloe was heard saying, \"if (Victoria is a laggard) then (Victoria is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1451, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 5]]], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"->\"...
{"split": "train", "index": 12563}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Aurora, Matthew, Liam, Oliver, Olivia, Michael, Scarlett, Sophia, and Lucas. \"(if Sophia is a villain then Olivia is a villain) or (Liam is a hero i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1452, \"statements\": [[\"or\", [\"->\", [\"lying\", 7], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"lying\", 2], [\"and\", [\"lying\", 1], [\"telling-truth\", 6], [\"lying\", 5], [\"telling-...
{"split": "train", "index": 12564}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Riley, Scarlett, Olivia, Ethan, Sofia, Ava, Daniel, Mia, and Jacob. Riley expressed that if (Sofia is a knight or Ava is a knave) then (Daniel is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1453, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 5]], [\"or\", [\"telling-truth\", 6], [\"lying\", 6], [\"telling-truth\", 7]]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 6]], [\"not\",...
{"split": "train", "index": 12565}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Joseph, Aria, Lily, Mia, Jackson, Elizabeth, Aurora, Amelia, and Noah. Joseph expressed that if (Lily is a fool and Noah is a fool) then (Aurora is a fool)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1454, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"lying\", 8]], [\"not\", [\"telling-truth\", 6]]], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [...
{"split": "train", "index": 12566}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Alexander, Ava, Mia, Joseph, Chloe, Avery, Jacob, Sofia, and Grace. Alexander commented, \"(Ava is a knight if and only if Grace is a knave) or Mia i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1455, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 8]], [\"lying\", 2], [\"lying\", 6]], [\"telling-truth\", 6], [\"lying\", 3], [\"telling-truth\", 0], [\"or\", [\"->\", [\"lying\", 6], [\"telling-t...
{"split": "train", "index": 12567}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Owen, Joseph, Benjamin, Sophia, Amelia, Alexander, Sofia, Aurora, and William. As Owen put it, \"(Aurora is a laggard and Sophia is a pioneer a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1456, \"statements\": [[\"or\", [\"and\", [\"lying\", 7], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"lying\", 2], [\"telling-truth\", 5], [\"lying\", 8]]], [\"->\", [\"or\", [\"lying\", 7], [\"lying\", 0]], ...
{"split": "train", "index": 12568}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Abigail, Jacob, Lily, James, Isabella, Riley, Owen, Daniel, and Sebastian. According to Abigail, \"(Jacob is a saint and Isabella is a saint and Lily...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1457, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 2]], [\"lying\", 5], [\"lying\", 8]], [\"->\", [\"->\", [\"lying\", 8], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\"...
{"split": "train", "index": 12569}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Oliver, Chloe, Joseph, Riley, Ava, Henry, Avery, Owen, and Michael. According to Oliver, \"(Avery is a laggard if and only if Henry is a laggar...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1458, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 6], [\"lying\", 5]], [\"or\", [\"lying\", 5], [\"lying\", 3], [\"lying\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-tr...
{"split": "train", "index": 12570}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Logan, Isabella, Emily, Evelyn, Sofia, Henry, Owen, Emma, and Amelia. \"(Emily is an egoist and Owen is an altruist and Emma is an egoist) or (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1459, \"statements\": [[\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 6], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 5]]], [\"->\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 7]], [\"not\", [\"ly...
{"split": "train", "index": 12571}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Riley, Matthew, Amelia, Daniel, Elizabeth, Owen, Evelyn, Samuel, and Michael. In Riley's words: \"Owen is an angel\". \"Matthew is an angel,\" Matthew ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1460, \"statements\": [[\"telling-truth\", 5], [\"telling-truth\", 1], [\"->\", [\"or\", [\"lying\", 1], [\"lying\", 0], [\"lying\", 4], [\"telling-truth\", 7]], [\"telling-truth\", 5]], [\"telling-truth\", 1], [\"and\", [\"te...
{"split": "train", "index": 12572}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Logan, Michael, Charlotte, Luke, Jack, Sebastian, Jacob, Sofia, and Grace. As Logan put it, \"(Jack is a knave) or Sofia is a knave or (Sebastian is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1461, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 7], [\"<=>\", [\"lying\", 5], [\"lying\", 3]], [\"not\", [\"telling-truth\", 8]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 8]], [\"t...
{"split": "train", "index": 12573}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Abigail, Alexander, Sophia, Isabella, Mason, Ethan, Grace, Daniel, and Avery. Abigail asserted: \"(Avery is a sage or Grace is a fool or Ethan is a sage) i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1462, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 8], [\"lying\", 6], [\"telling-truth\", 5]], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 1], [\"lying\", 7]], [\"or\", [\...
{"split": "train", "index": 12574}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Olivia, Amelia, Ava, Riley, Sebastian, Chloe, Aiden, Victoria, and Liam. In a statement by Olivia: \"Victoria is a sinner\". Amelia was heard saying,...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1463, \"statements\": [[\"lying\", 7], [\"or\", [\"and\", [\"lying\", 0], [\"telling-truth\", 7], [\"lying\", 5], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 3], [\"telling-truth\", 8], [\"ly...
{"split": "train", "index": 12575}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Noah, Owen, Victoria, Aurora, Emma, Mason, Jackson, Sofia, and Aria. Noah was heard saying, \"Sofia is a villain\". Owen stated, \"(Victoria is a her...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1464, \"statements\": [[\"lying\", 7], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 5]], [\"->\", [\"lying\", 7], [\"lying\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"lying\", 6], [\"an...
{"split": "train", "index": 12576}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Aria, Chloe, Elizabeth, Daniel, Joseph, Sofia, Logan, Jack, and Ava. As Aria put it, \"it is not the case that (if Logan is an egoist then Loga...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1465, \"statements\": [[\"not\", [\"->\", [\"lying\", 6], [\"telling-truth\", 6]]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"lying\", 8]], [\"lying\", 0], [\"or\", [\"and\", [\"lying\", 8], [\"telling-tr...
{"split": "train", "index": 12577}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Olivia, Ella, Elizabeth, Sophia, Noah, Joseph, Charlotte, Harper, and Aiden. \"if (if Joseph is a sage then Ella is a sage) then (Charlotte is a sage or Jo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1466, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 6], [\"lying\", 5]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 0], [\"telling-truth\", 3], [...
{"split": "train", "index": 12578}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Sophia, Abigail, Owen, Harper, Joseph, Lucas, Aurora, Isabella, and Samuel. Sophia said that if (if Sophia is an altruist then Aurora is an alt...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1467, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 6]], [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"telling-truth\", 2], [\"not\", [\"or\", [\"lying\", 5], [\"telling-truth\", 5], [\...
{"split": "train", "index": 12579}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Oliver, Liam, Henry, Jack, Mia, Riley, Michael, Lucas, and Aurora. In Oliver's words: \"it is not the case that (Aurora is a hero and Michael is a vi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1468, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 8], [\"lying\", 6], [\"telling-truth\", 3], [\"lying\", 8]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying\", 8], [\"lying\", 5], [\"lying\", 4]]...
{"split": "train", "index": 12580}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Sebastian, Olivia, Noah, Henry, Aurora, Victoria, Joseph, William, and Liam. \"Victoria is an angel,\" Sebastian claimed. Olivia expressed that (Aurora...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1469, \"statements\": [[\"telling-truth\", 5], [\"<=>\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 6], [\"lying\", 2], [\"telling-truth\", 5]]], [\"<=>\", [\"not\", [\"lying\", 0]], [\"not\", [\"lying\", 3]]], [...
{"split": "train", "index": 12581}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Abigail, Elizabeth, Samuel, Harper, Emily, Jacob, Sophia, Joseph, and Amelia. Abigail noted, \"if (Sophia is an angel or Harper is a devil) then (Harpe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1470, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 6], [\"lying\", 3]], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 6], [\"lying\", 7]], [\"and\", [\"lying\", 2], [\"lying\", 7], [\"telling-tru...
{"split": "train", "index": 12582}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Avery, Jack, Alexander, Aiden, Harper, Matthew, Sofia, David, and Benjamin. \"(Benjamin is a knave) and (Alexander is a knave)\" - Avery. According t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1471, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 2]]], [\"lying\", 4], [\"->\", [\"and\", [\"lying\", 0], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"->\", [\"lying\", 8...
{"split": "train", "index": 12583}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Lily, Grace, Logan, Daniel, Michael, Luke, Victoria, Alexander, and Chloe. Lily remarked, \"Alexander is a fool or (Alexander is a fool or Logan is a sage ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1472, \"statements\": [[\"or\", [\"lying\", 7], [\"or\", [\"lying\", 7], [\"telling-truth\", 2], [\"lying\", 8], [\"telling-truth\", 7]], [\"or\", [\"lying\", 7], [\"telling-truth\", 5], [\"telling-truth\", 1]]], [\"or\", [\"<...
{"split": "train", "index": 12584}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Emily, Ella, Henry, Victoria, Ethan, Michael, Olivia, Aria, and Owen. Emily stated, \"(Ethan is an egoist or Victoria is an egoist) and (Ella i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1473, \"statements\": [[\"and\", [\"or\", [\"lying\", 4], [\"lying\", 3]], [\"not\", [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 8]]], [\"<=>\", [\"or\", [\"telling-truth\", 7], [\"lying\", 0]], [\"<=>\", [\...
{"split": "train", "index": 12585}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Scarlett, Grace, Oliver, Benjamin, Aurora, Lily, Charlotte, Victoria, and Riley. In Scarlett's words: \"(Lily is a saint) and (Oliver is a saint and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1474, \"statements\": [[\"and\", [\"not\", [\"lying\", 5]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"telling-truth\", 5], [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"telling-tru...
{"split": "train", "index": 12586}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Isabella, Henry, Riley, Zoey, Emily, Sophia, Michael, Lucas, and Evelyn. Isabella asserted: \"it is not the case that (Riley is a laggard and E...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1475, \"statements\": [[\"not\", [\"and\", [\"lying\", 2], [\"lying\", 8], [\"lying\", 1]]], [\"<=>\", [\"->\", [\"lying\", 5], [\"lying\", 2]], [\"lying\", 2]], [\"or\", [\"not\", [\"lying\", 1]], [\"->\", [\"lying\", 8], [\"...
{"split": "train", "index": 12587}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Ava, Lucas, Michael, Chloe, Jack, Lily, Liam, Ella, and Amelia. As Ava put it, \"if (Chloe is a laggard if and only if Ella is a pioneer) then ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1476, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 7]], [\"lying\", 7]], [\"not\", [\"->\", [\"telling-truth\", 7], [\"lying\", 7]]], [\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 5], [\"lyi...
{"split": "train", "index": 12588}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Joseph, Harper, Sebastian, Victoria, Liam, Ethan, Charlotte, Samuel, and Abigail. In a statement by Joseph: \"(if Samuel is a devil then Ethan is an an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1477, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 7], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"telling-truth\", 8], [\"lying\", 5]]], [\"or\", [\"or\", [\"lying\", 6], [\"lying\", ...
{"split": "train", "index": 12589}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Emma, Abigail, Joseph, Logan, Isabella, Amelia, Riley, Oliver, and Alexander. Emma expressed that it is not the case that (Riley is a laggard o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1478, \"statements\": [[\"not\", [\"or\", [\"lying\", 6], [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"lying\", 7], [\"<=>\", [\"or\", [\"lying\", 1], [\"lying\", 7], [\"telling-truth\", 8], [\"lying\", 8]], [\"and\", ...
{"split": "train", "index": 12590}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Daniel, Chloe, David, Lucas, Sebastian, Michael, William, Avery, and Amelia. Daniel commented, \"(Daniel is a sage and Amelia is a sage and Lucas is a sage...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1479, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 8], [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"not\", [\"lying\", 3]]], ...
{"split": "train", "index": 12591}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Aiden, Ella, Charlotte, Zoey, Sebastian, Owen, Jackson, Alexander, and James. Aiden said, \"(Charlotte is a saint) and Charlotte is a saint and (Zoey...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1480, \"statements\": [[\"and\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 6], [\"lying\", 7], [\"lying\"...
{"split": "train", "index": 12592}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Chloe, Mia, Sofia, Isabella, Benjamin, Ava, Logan, Matthew, and Aria. Chloe said, \"(Matthew is a fool) and (Isabella is a fool or Sofia is a fool or Benja...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1481, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 7]], [\"or\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"lying...
{"split": "train", "index": 12593}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Olivia, Isabella, Benjamin, Avery, Henry, Aurora, Daniel, Ava, and Jackson. \"(Aurora is a fool or Henry is a sage or Jackson is a fool) or (Olivia is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1482, \"statements\": [[\"or\", [\"or\", [\"lying\", 5], [\"telling-truth\", 4], [\"lying\", 8]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 5], [\"lying\", 7]], [\"not\", [\"telling-truth\", 1]], [\"not\", [\"tellin...
{"split": "train", "index": 12594}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Logan, Lucas, Sebastian, Amelia, Oliver, Michael, Aria, Joseph, and Jacob. In a statement by Logan: \"(Lucas is a fool or Oliver is a fool or Aria is a foo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1483, \"statements\": [[\"or\", [\"or\", [\"lying\", 1], [\"lying\", 4], [\"lying\", 6]], [\"and\", [\"telling-truth\", 7], [\"lying\", 8]], [\"or\", [\"lying\", 3], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 5], [\"tellin...
{"split": "train", "index": 12595}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Aurora, Grace, Victoria, Jacob, David, Sofia, Jackson, Riley, and Chloe. Aurora stated, \"if (David is a sage if and only if Jacob is a fool) then (if Jaco...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1484, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"lying\", 8]]], [\"or\", [\"lying\", 3], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 7]], [\"->\", [\"telling-trut...
{"split": "train", "index": 12596}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Ava, Samuel, James, Aurora, Grace, Isabella, Ella, Chloe, and Liam. According to Ava, \"if (Ella is a pioneer and Isabella is a pioneer and Aur...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1485, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 5], [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"lying\", 3], [\"lying\", 8]]], [\"->\", [\"telling-truth\", 7], [\"or\", [\"lying\", 8], [...
{"split": "train", "index": 12597}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Sophia, Joseph, Penelope, Ava, Aurora, Samuel, Sofia, Amelia, and Isabella. \"(if Sofia is a fool then Sofia is a sage) or (if Ava is a fool then Penelope ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1486, \"statements\": [[\"or\", [\"->\", [\"lying\", 6], [\"telling-truth\", 6]], [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 5]]], [\"and\", [\"<=>\", [\"lying\", 4], [\"tell...
{"split": "train", "index": 12598}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Alexander, Aiden, Liam, Oliver, Logan, Ethan, Evelyn, Michael, and Matthew. Alexander said that Evelyn is a fool. \"if (if Oliver is a fool then Liam is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1487, \"statements\": [[\"lying\", 6], [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 0], [\"lying\", 7]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"lying...
{"split": "train", "index": 12599}