data_source stringclasses 1
value | prompt stringlengths 948 4.18k | ability stringclasses 1
value | reward_model stringlengths 1.89k 8.09k | extra_info stringlengths 30 34 |
|---|---|---|---|---|
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, Lily, Harper, Michael, Liam, Evelyn, Lucas, Aria, and Mia. \"it is not the case that (Lily is a pioneer and (Michael is a laggard)),\" J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1344, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 3]]]], [\"telling-truth\", 1], [\"->\", [\"not\", [\"telling-truth\", 7]], [\"<=>\", [\"<=>\", [\"lying\", 5], [\"telling-truth\"... | {"split": "train", "index": 16900} |
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, Sofia, Scarlett, Samuel, Alexander, Luke, William, Ethan, and Lucas. Daniel remarked, \"((Luke is a sinner if and only if Sofia is a sinner) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1345, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"lying\", 5], [\"lying\", 1]], [\"->\", [\"lying\", 8], [\"telling-truth\", 5]]], [\"not\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 4]]]], [\"or\", [\"<=>\", [\"->\"... | {"split": "train", "index": 16901} |
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: Luke, Lucas, Ava, Grace, Chloe, Liam, Aurora, Noah, and Oliver. Luke asserted: \"((Oliver is a laggard if and only if Chloe is a pioneer) or (O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1346, \"statements\": [[\"and\", [\"or\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 8], [\"lying\", 6], [\"telling-truth\", 1]], [\"->\", [\"lying\", 7], [\"telling-truth\", 0]]], [\"<=>\"... | {"split": "train", "index": 16902} |
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: Benjamin, Daniel, Chloe, Jackson, Sebastian, Amelia, David, Owen, and Grace. Benjamin said, \"Owen is a pioneer if and only if ((David is a lag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1347, \"statements\": [[\"<=>\", [\"telling-truth\", 7], [\"or\", [\"and\", [\"lying\", 6], [\"lying\", 2]], [\"lying\", 1], [\"not\", [\"lying\", 6]]]], [\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 8], [\... | {"split": "train", "index": 16903} |
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, Luke, Mia, Emily, Victoria, Aria, Oliver, Ava, and Jacob. \"Victoria is an altruist,\" James declared. In a statement by Luke: \"Mia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1348, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"telling-truth\", 2], [\"<=>\", [\"not\", [\"lying\", 0]], [\"not\", [\"telling-truth\", 6]]]], [\"or\", [\"or\", [\"and\", [\"lying\", 6], [\"telling-truth\", 0], [\"t... | {"split": "train", "index": 16904} |
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: Emily, Olivia, Penelope, Liam, Sofia, Ella, William, Samuel, and James. As Emily put it, \"it is not the case that (Sofia is a saint and (Olivia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1349, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 4], [\"not\", [\"lying\", 1]], [\"or\", [\"lying\", 2], [\"telling-truth\", 2]]]], [\"or\", [\"or\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 4], [\"l... | {"split": "train", "index": 16905} |
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: Elizabeth, Scarlett, Evelyn, Aiden, Sebastian, Sophia, Benjamin, Daniel, and Amelia. \"((Sophia is a hero) if and only if (Daniel is a villain)) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1350, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"lying\", 5]], [\"not\", [\"telling-truth\", 7]]], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"lying\", 8]]], [\"not\", [\"->\", [\"->\", [\"lyi... | {"split": "train", "index": 16906} |
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: Riley, Ella, Ethan, Mia, Emily, Lucas, Olivia, Charlotte, and Samuel. \"((if Charlotte is a hero then Olivia is a villain) and Emily is a hero and (E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1351, \"statements\": [[\"or\", [\"and\", [\"->\", [\"telling-truth\", 7], [\"lying\", 6]], [\"telling-truth\", 4], [\"not\", [\"lying\", 1]]], [\"->\", [\"not\", [\"lying\", 1]], [\"not\", [\"telling-truth\", 7]]]], [\"not\",... | {"split": "train", "index": 16907} |
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: Logan, Avery, Grace, Luke, Isabella, David, Jackson, Matthew, and Olivia. Logan said, \"it is not the case that ((Matthew is a hero or Grace is a her... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1352, \"statements\": [[\"not\", [\"or\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 2], [\"lying\", 2]], [\"telling-truth\", 8], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]]], [\"not\", [\"and\", [\"<=>\", [\"... | {"split": "train", "index": 16908} |
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, Avery, Lily, Zoey, Sebastian, Aria, Noah, Ava, and Owen. Oliver commented, \"(if (Sebastian is a sinner) then (if Zoey is a sinner then Avery... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1353, \"statements\": [[\"and\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"->\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 8]]], [\... | {"split": "train", "index": 16909} |
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, Penelope, William, Emma, Owen, Daniel, Henry, Noah, and Zoey. Elizabeth said, \"((Elizabeth is an altruist or William is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1354, \"statements\": [[\"and\", [\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 7], [\"lying\", 5]], [\"->\", [\"lying\", 7], [\"... | {"split": "train", "index": 16910} |
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, Samuel, Charlotte, Grace, Daniel, Jacob, Aiden, Oliver, and Joseph. \"((Oliver is a sinner if and only if Grace is a sinner) if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1355, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"lying\", 7], [\"lying\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 6]], [\"<=>\",... | {"split": "train", "index": 16911} |
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, Aurora, Isabella, Jackson, Joseph, Sebastian, Evelyn, Harper, and Riley. \"Riley is a devil,\" David mentioned. According to Aurora, \"((if Harp... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1356, \"statements\": [[\"lying\", 8], [\"<=>\", [\"and\", [\"->\", [\"lying\", 7], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"lying\", 5]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"and... | {"split": "train", "index": 16912} |
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: Lucas, Avery, Henry, Grace, Sebastian, Michael, Samuel, Riley, and Sofia. Lucas said, \"if (if (Sebastian is an altruist or Samuel is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1357, \"statements\": [[\"->\", [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 6], [\"lying\", 3]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"telling-tru... | {"split": "train", "index": 16913} |
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: Ava, Victoria, Emily, Jack, Aria, Luke, Elizabeth, James, and Ella. \"((Ella is a fool and Victoria is a fool and Ava is a sage) if and only if (James is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1358, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"lying\", 8], [\"lying\", 1], [\"telling-truth\", 0]], [\"or\", [\"lying\", 7], [\"lying\", 3], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"lying\", 7], [\"telling-truth\", 6]... | {"split": "train", "index": 16914} |
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: Jackson, Charlotte, Aurora, David, Penelope, Luke, Aria, Michael, and Sophia. Jackson asserted: \"(it is not the case that (Sophia is a knave and Ari... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1359, \"statements\": [[\"or\", [\"not\", [\"and\", [\"lying\", 8], [\"lying\", 6], [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 6], [\"lying\", 8]]... | {"split": "train", "index": 16915} |
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, Henry, Elizabeth, James, Emma, Lucas, David, Samuel, and Ava. According to Mia, \"(if (Samuel is a saint) then (if Ava is a sinner then Elizabet... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1360, \"statements\": [[\"or\", [\"->\", [\"not\", [\"lying\", 7]], [\"->\", [\"lying\", 8], [\"telling-truth\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 5], [\"lying\", 1], [\"telling-truth\", 3]], [\"not\", [\"telling-tr... | {"split": "train", "index": 16916} |
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: Jackson, James, Ethan, Abigail, Aria, Harper, Mason, Logan, and Charlotte. \"((Charlotte is a pioneer and Aria is a pioneer and Ethan is a pion... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1361, \"statements\": [[\"and\", [\"or\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"lying\", 7], [\"telling-truth\", 6]]], [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]... | {"split": "train", "index": 16917} |
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, Elizabeth, Victoria, Jackson, Emma, Samuel, Jacob, Lucas, and Aria. In Scarlett's words: \"(if Elizabeth is a saint then Lucas is a saint) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1362, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 7]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 6]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 6]]], [\"not\", [\"or... | {"split": "train", "index": 16918} |
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: Sebastian, Grace, James, Samuel, Ella, David, Jacob, Scarlett, and Riley. Sebastian asserted: \"Grace is a hero\". In Grace's words: \"(it is not the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1363, \"statements\": [[\"not\", [\"lying\", 1]], [\"or\", [\"not\", [\"<=>\", [\"lying\", 0], [\"lying\", 7]]], [\"or\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 1]], [\"telling-truth\", 5], [\"and\", [\"lying\", 4], [\"... | {"split": "train", "index": 16919} |
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: Samuel, Alexander, Sebastian, Penelope, Jackson, Zoey, Sofia, Isabella, and Matthew. Samuel was heard saying, \"if (if (Matthew is a fool and Sofia is a fo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1364, \"statements\": [[\"->\", [\"->\", [\"and\", [\"lying\", 8], [\"lying\", 6], [\"telling-truth\", 7]], [\"telling-truth\", 1]], [\"not\", [\"or\", [\"lying\", 6], [\"telling-truth\", 1], [\"lying\", 7]]]], [\"not\", [\"or... | {"split": "train", "index": 16920} |
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: Sophia, Sebastian, Isabella, Henry, Lucas, Owen, Sofia, Samuel, and Olivia. Sophia told you that (it is not the case that (Isabella is a hero)) or ((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1365, \"statements\": [[\"or\", [\"not\", [\"not\", [\"lying\", 2]]], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"n... | {"split": "train", "index": 16921} |
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: Penelope, Lily, Liam, Joseph, Amelia, Aurora, Riley, Chloe, and Samuel. In a statement by Penelope: \"if (it is not the case that (Liam is a sinner))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1366, \"statements\": [[\"->\", [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 5], [\"lying\", 1]]]], [\"or\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"n... | {"split": "train", "index": 16922} |
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: Owen, Harper, Michael, Aurora, Joseph, Riley, Henry, William, and Liam. Owen stated, \"it is not the case that (Harper is a knight or (Riley is a kna... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1367, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 8]]]], [\"or\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], ... | {"split": "train", "index": 16923} |
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: Owen, Samuel, Elizabeth, Evelyn, Emily, Lucas, Joseph, Luke, and Jackson. Owen expressed that ((Jackson is a knight and Jackson is a knave and Joseph... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1368, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"telling-truth\", 8], [\"lying\", 8], [\"lying\", 6]], [\"or\", [\"lying\", 8], [\"lying\", 6]]], [\"not\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 2], [\"te... | {"split": "train", "index": 16924} |
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: Oliver, Mason, Ella, Joseph, Alexander, Lily, Amelia, Riley, and Evelyn. As Oliver put it, \"((Lily is a knight and Evelyn is a knight and Oliver is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1369, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 8], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 5], [\"lying\", 1]]], [\"not\", [\"not\", [\"telling-truth\", 8]]]], [\"and\", ... | {"split": "train", "index": 16925} |
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: Henry, Ethan, Isabella, Sophia, Ava, Riley, Chloe, Lily, and Avery. According to Henry, \"(if (Lily is a hero if and only if Chloe is a villain) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1370, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 7]]], [\"lying\", 2]], [\"telling-truth\", 4], [\"or\", [\"<=>\", [\"<=>\", [\"... | {"split": "train", "index": 16926} |
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, Jacob, Aurora, Owen, Zoey, Olivia, Luke, Scarlett, and Aiden. Joseph noted, \"it is not the case that (it is not the case that (if Zoey is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1371, \"statements\": [[\"not\", [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]]], [\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 8], [... | {"split": "train", "index": 16927} |
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: Samuel, Oliver, Riley, Luke, Jacob, Abigail, Avery, Victoria, and Ella. Samuel said, \"it is not the case that ((Luke is an altruist if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1372, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\", [\"lying\", 1], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 6], [\"lying\", 6]]]]... | {"split": "train", "index": 16928} |
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, Ethan, Logan, Sophia, Victoria, Olivia, Joseph, Amelia, and Owen. Emma said, \"(Sophia is a hero) and Sophia is a villain.\" \"(Emma is a villa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1373, \"statements\": [[\"and\", [\"not\", [\"lying\", 3]], [\"lying\", 3]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 4]], [\"not\", [\"->\", [\"telling-truth\", 8], [\"lying\", 7]]], [\"<=>\", [\"or\", [\"lying... | {"split": "train", "index": 16929} |
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: Mia, Sofia, Samuel, Aria, Olivia, James, Alexander, Emma, and Michael. According to Mia, \"((Mia is a hero and Alexander is a hero and Sofia is a her... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1374, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 6], [\"telling-truth\", 1]], [\"lying\", 6]], [\"and\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 8]], [\"->\", [\"lying\", 2]... | {"split": "train", "index": 16930} |
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, Zoey, Matthew, Charlotte, Luke, Joseph, Benjamin, Emma, and Jack. \"Benjamin is a knight,\" Penelope claimed. Zoey said, \"((Penelope is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1375, \"statements\": [[\"telling-truth\", 6], [\"<=>\", [\"or\", [\"not\", [\"lying\", 0]], [\"not\", [\"lying\", 7]], [\"<=>\", [\"lying\", 6], [\"lying\", 4]]], [\"lying\", 0]], [\"or\", [\"and\", [\"not\", [\"lying\", 6]],... | {"split": "train", "index": 16931} |
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: Lucas, Charlotte, Elizabeth, Alexander, Aria, Jackson, Emily, Aurora, and Benjamin. \"(if (Jackson is a laggard or Elizabeth is a laggard or Em... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1376, \"statements\": [[\"and\", [\"->\", [\"or\", [\"lying\", 5], [\"lying\", 2], [\"telling-truth\", 6]], [\"not\", [\"lying\", 1]]], [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 5], [\"t... | {"split": "train", "index": 16932} |
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: Lucas, Benjamin, Victoria, Matthew, Mia, Harper, James, Noah, and Luke. As Lucas put it, \"Victoria is a knight\". Benjamin was heard saying, \"(it i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1377, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"and\", [\"lying\", 6], [\"lying\", 4], [\"lying\", 3]], [\"<=>\", [\"lying\", 7], [\"lying\", 5]], [\"not\", [... | {"split": "train", "index": 16933} |
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: Michael, Matthew, Penelope, Isabella, Samuel, Benjamin, Ella, Sebastian, and Chloe. Michael said, \"(it is not the case that (Penelope is a lag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1378, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"or\", [\"lying\", 7], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"telling-truth\", 6], [\"lying... | {"split": "train", "index": 16934} |
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, Scarlett, Logan, Avery, Elizabeth, Sebastian, Harper, Mason, and Samuel. In Isabella's words: \"Harper is a hero and ((Harper is a villain ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1379, \"statements\": [[\"and\", [\"telling-truth\", 6], [\"<=>\", [\"or\", [\"lying\", 6], [\"lying\", 4]], [\"lying\", 7]], [\"not\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 5]]]], [\"->\", [\"not\", [\"lying\", 7]], [... | {"split": "train", "index": 16935} |
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: Zoey, Sebastian, Jackson, Elizabeth, Jacob, Olivia, Emily, Joseph, and Sofia. Zoey commented, \"(if (if Elizabeth is a pioneer then Olivia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1380, \"statements\": [[\"or\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 5]]], [\"or\", [\"lying\", 5], [\"and\", [\"lying\", 6], [\"telling-truth\", 0]], [\"or\", [\"lyi... | {"split": "train", "index": 16936} |
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: Jack, Ella, Amelia, Sophia, David, Daniel, Harper, Zoey, and Penelope. According to Jack, \"((Zoey is a fool and Harper is a sage) and (Harper is a sage if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1381, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"lying\", 7], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 4]]], [\"not\", [\"and\", [... | {"split": "train", "index": 16937} |
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: Ella, Sofia, Chloe, Alexander, Isabella, Ethan, Benjamin, Riley, and James. In a statement by Ella: \"if ((Benjamin is a devil or Ethan is a devil or C... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1382, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"lying\", 6], [\"lying\", 5], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"telling-truth\", 5], [\"->\", [\"telling-truth\", 7], [\"lying\", 1]]... | {"split": "train", "index": 16938} |
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: Jackson, Victoria, Harper, William, Mia, Henry, Riley, Emma, and Jack. \"if William is an egoist then ((if Victoria is an egoist then Riley is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1383, \"statements\": [[\"->\", [\"lying\", 3], [\"or\", [\"->\", [\"lying\", 1], [\"lying\", 6]], [\"telling-truth\", 7]]], [\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 5]], [\"->\", [\"lying\", 0], [\"tel... | {"split": "train", "index": 16939} |
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: Amelia, Owen, Sebastian, Jack, Aurora, Matthew, Jacob, Elizabeth, and Luke. Amelia noted, \"(it is not the case that (Sebastian is a sage)) and (Elizabeth ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1384, \"statements\": [[\"and\", [\"not\", [\"not\", [\"lying\", 2]]], [\"or\", [\"lying\", 7], [\"lying\", 1], [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying\", 3], [... | {"split": "train", "index": 16940} |
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: Harper, James, Oliver, Benjamin, Scarlett, Logan, Lucas, David, and Daniel. Harper noted, \"if (if (Logan is a villain if and only if Scarlett is a h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1385, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 8]]], [\"<=>\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 0]], [\"and\", [\"telling-tr... | {"split": "train", "index": 16941} |
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: Harper, Ava, Oliver, Henry, Ella, Emily, Emma, Joseph, and Scarlett. Harper asserted: \"it is not the case that (Emily is a sage if and only if Henry is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1386, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 3]]], [\"lying\", 4], [\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]]]], [\... | {"split": "train", "index": 16942} |
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: Samuel, Grace, Elizabeth, Aiden, Victoria, Evelyn, Henry, David, and Matthew. Samuel said, \"(Matthew is a laggard and (Victoria is a laggard i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1387, \"statements\": [[\"or\", [\"and\", [\"lying\", 8], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]], [\"or\", [\"->\", [\"lying\", 5], [\"lying\", 2]], [\"or\", [\"lying\", 8], [\"lying\", 7], [\"telling-truth\", 7]], [\"->\"... | {"split": "train", "index": 16943} |
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: Samuel, Emily, David, Oliver, Sofia, Scarlett, Grace, Emma, and Mia. Samuel expressed that ((if Oliver is an angel then Emma is an angel) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1388, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"lying\", 1]], [\"and\", [\"not\", [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 8], [\"lying\", 2]]], [\"->\", [\"... | {"split": "train", "index": 16944} |
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: Noah, Aria, Mia, Benjamin, Luke, Harper, Amelia, Mason, and Riley. In a statement by Noah: \"((if Mia is a knave then Mia is a knight) and Harper is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1389, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"lying\", 5]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 8]]], [\"lying\", 4], [\"or\", [\"or\", [\"->\", [\"telling-tru... | {"split": "train", "index": 16945} |
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: Jacob, Harper, Sofia, Jack, Daniel, William, Mia, Chloe, and Noah. Jacob expressed that Jack is a villain or ((Harper is a hero if and only if Chloe ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1390, \"statements\": [[\"or\", [\"lying\", 3], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 7]], [\"telling-truth\", 4]], [\"and\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"lying\", 6]]], [\"or\... | {"split": "train", "index": 16946} |
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: Samuel, Elizabeth, Avery, Penelope, Mia, Logan, Ella, Liam, and Olivia. According to Samuel, \"(Avery is a knave) if and only if ((Olivia is a knave ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1391, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"or\", [\"lying\", 8], [\"telling-truth\", 3], [\"lying\", 5]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 4]]]], [\"<=... | {"split": "train", "index": 16947} |
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: Alexander, Avery, Mia, Grace, Lily, Evelyn, Jack, Aria, and Olivia. Alexander expressed that if Jack is a pioneer then ((Lily is a pioneer if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1392, \"statements\": [[\"->\", [\"telling-truth\", 6], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]], [\"and\", [\"lying\", 7], [\"telling-truth\", 6], [\"lying\", 8]]]], [\"lying\", 4], [\"not\", [\"or\", [\"an... | {"split": "train", "index": 16948} |
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: Grace, Sophia, Mia, Ella, Lucas, Amelia, Benjamin, Emily, and Riley. Grace told you that (it is not the case that (Ella is a laggard)) and Ella... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1393, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"lying\", 3], [\"->\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 1], [\"lying\", 2]]]], [\"telling-truth\", 4], [\"<=>\", [\"->\", [\"... | {"split": "train", "index": 16949} |
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: Ava, William, Logan, Abigail, Owen, Daniel, Emily, Matthew, and Harper. In a statement by Ava: \"Daniel is a hero if and only if ((Emily is a hero an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1394, \"statements\": [[\"<=>\", [\"telling-truth\", 5], [\"<=>\", [\"and\", [\"telling-truth\", 6], [\"lying\", 7]], [\"and\", [\"lying\", 2], [\"telling-truth\", 4]]]], [\"or\", [\"not\", [\"not\", [\"lying\", 4]]], [\"or\",... | {"split": "train", "index": 16950} |
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, Ethan, Jackson, Elizabeth, Lily, Avery, Aiden, Liam, and Jack. Mia expressed that (if (Lily is a saint and Ethan is a sinner) then (Jackson is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1395, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3], [\"lying\", 4]]], [\"not\", [\"->\", [\"lying\", 2], [\"lying\", 5]]]], [\"<=>\", [\... | {"split": "train", "index": 16951} |
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, Riley, Elizabeth, Matthew, Grace, James, Sophia, Daniel, and Aurora. Lily was heard saying, \"Sophia is a sage\". \"Grace is a sage,\" Riley claimed.... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1396, \"statements\": [[\"not\", [\"lying\", 6]], [\"telling-truth\", 4], [\"not\", [\"and\", [\"or\", [\"telling-truth\", 6], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 2... | {"split": "train", "index": 16952} |
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: Harper, Ava, Aurora, Benjamin, Logan, Jacob, Mia, Jack, and Abigail. Harper expressed that if Jack is a sinner then ((if Mia is a sinner then Aurora ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1397, \"statements\": [[\"->\", [\"lying\", 7], [\"or\", [\"->\", [\"lying\", 6], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 1], [\"telling-truth\", 2], [\"lying\", 6]]]], [\"and\", [\"->\... | {"split": "train", "index": 16953} |
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: Harper, Owen, Chloe, Abigail, Noah, Michael, Sebastian, James, and Victoria. \"it is not the case that ((Noah is a hero if and only if Noah is a vill... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1398, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [... | {"split": "train", "index": 16954} |
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: Lucas, Emily, Mia, Aurora, Grace, Benjamin, Chloe, Olivia, and James. Lucas told you that (if Olivia is a fool then (Chloe is a sage and Aurora is a fool))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1399, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 7], [\"and\", [\"telling-truth\", 6], [\"lying\", 3]]], [\"not\", [\"or\", [\"lying\", 8], [\"lying\", 6]]]], [\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 5], [\"telling... | {"split": "train", "index": 16955} |
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: Jack, Aurora, Daniel, David, Riley, Benjamin, Evelyn, Sofia, and Scarlett. Jack said, \"((Benjamin is an angel or David is a devil or Aurora is a devil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1400, \"statements\": [[\"or\", [\"and\", [\"or\", [\"telling-truth\", 5], [\"lying\", 3], [\"lying\", 1]], [\"lying\", 4]], [\"not\", [\"and\", [\"lying\", 5], [\"telling-truth\", 0]]]], [\"->\", [\"and\", [\"<=>\", [\"lying\... | {"split": "train", "index": 16956} |
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: Amelia, Luke, Matthew, Owen, William, Emma, Emily, Penelope, and Jackson. Amelia was heard saying, \"((William is an egoist if and only if Owen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1401, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 7]]], [\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 6], [\"... | {"split": "train", "index": 16957} |
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: Isabella, Emma, Sofia, Liam, Mason, Mia, Sebastian, Abigail, and Samuel. Isabella stated, \"Sofia is an altruist\". Emma asserted: \"if ((Sebas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1402, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"and\", [\"not\", [\"lying\", 6]], [\"not\", [\"lying\", 0]], [\"->\", [\"lying\", 4], [\"telling-truth\", 7]]], [\"->\", [\"telling-truth\", 8], [\"<=>\", [\"telling-t... | {"split": "train", "index": 16958} |
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: Victoria, Luke, Sophia, Sebastian, Emma, William, Liam, Lucas, and Evelyn. Victoria expressed that Evelyn is a devil and ((if Liam is a devil then Luke... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1403, \"statements\": [[\"and\", [\"lying\", 8], [\"and\", [\"->\", [\"lying\", 6], [\"telling-truth\", 1]], [\"lying\", 7]]], [\"not\", [\"<=>\", [\"not\", [\"lying\", 4]], [\"lying\", 8]]], [\"or\", [\"and\", [\"<=>\", [\"ly... | {"split": "train", "index": 16959} |
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: Luke, Emily, Jacob, Ethan, Mason, Lily, Liam, Matthew, and Aiden. Luke expressed that it is not the case that (Mason is an egoist). Emily was h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1404, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"lying\", 5], [\"->\", ... | {"split": "train", "index": 16960} |
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: David, Amelia, Penelope, Evelyn, Lily, Riley, Isabella, Owen, and Mason. David was heard saying, \"((Penelope is a laggard) or Mason is a lagga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1405, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 8]], [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"lying\", 2]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"and\", [\"t... | {"split": "train", "index": 16961} |
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, Benjamin, Grace, Charlotte, Samuel, Joseph, Noah, Mason, and Matthew. Lily stated, \"Charlotte is an angel\". Benjamin asserted: \"(Noah is a dev... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1406, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"or\", [\"lying\", 6], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 6]]], [\"->\", [... | {"split": "train", "index": 16962} |
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: Mia, Avery, Emily, Ethan, Henry, David, Lily, Grace, and James. Mia commented, \"((Avery is an egoist or Ethan is an egoist) and (Ethan is an e... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1407, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"lying\", 1], [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"telling-truth\", 2]], [\"or\", [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 6]], [\"and\", [\"telling... | {"split": "train", "index": 16963} |
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: Michael, Jackson, Daniel, Elizabeth, Zoey, Sebastian, Ava, Evelyn, and Owen. \"if Ava is a laggard then (it is not the case that (Ava is a pion... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1408, \"statements\": [[\"->\", [\"lying\", 6], [\"not\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 1]]]], [\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 0]], [\"and\", [\"telling-truth\", 7], [\"lying\",... | {"split": "train", "index": 16964} |
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: Scarlett, Lily, Ethan, Victoria, Michael, Alexander, Logan, Owen, and Aurora. Scarlett remarked, \"Logan is a hero\". \"((Lily is a hero or Ethan is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1409, \"statements\": [[\"telling-truth\", 6], [\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"lying\", 0], [\"lying\", 8], [\"lying\", 4]]], [\"telling-truth\", 2], [\"lying\... | {"split": "train", "index": 16965} |
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: Isabella, Sophia, Aurora, Penelope, Aiden, Victoria, Mason, Samuel, and Zoey. Isabella said, \"it is not the case that (if (Zoey is a fool and Zoey is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1410, \"statements\": [[\"not\", [\"->\", [\"and\", [\"lying\", 8], [\"telling-truth\", 8], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 8]]]], [\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\",... | {"split": "train", "index": 16966} |
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: Penelope, Ethan, Mia, Jack, Oliver, Luke, Abigail, Harper, and Zoey. \"((if Jack is an egoist then Oliver is an egoist) if and only if (Ethan i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1411, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"lying\", 6], [\"and\", [\"lying\", 8], [\"telling-truth\", 3], [\"lying\", 1]]]], [\"<=>\", ... | {"split": "train", "index": 16967} |
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, David, Logan, Luke, Owen, Grace, Chloe, Ava, and Aiden. Sophia noted, \"(if (Chloe is an egoist if and only if Grace is an altruist) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1412, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 7], [\"lying\", 1], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"lying\", 8], [\"telling-truth\", 7]], [\"no... | {"split": "train", "index": 16968} |
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: Emily, Lucas, Logan, Riley, Charlotte, Mason, Amelia, Mia, and Noah. In Emily's words: \"if Amelia is a devil then (Charlotte is a devil and Noah is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1413, \"statements\": [[\"->\", [\"lying\", 6], [\"and\", [\"lying\", 4], [\"lying\", 8], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"telling-truth\", 0]]]], [\"->\", [\"->\", [\"->\", [\"telling-truth\", 2], ... | {"split": "train", "index": 16969} |
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: Sebastian, Matthew, Sophia, Avery, Scarlett, Logan, Aurora, Harper, and Ella. Sebastian was heard saying, \"((Aurora is a hero if and only if Matthew... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1414, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"telling-truth\", 8]]], [\"lying\", 8]], [\"and\", [\"lying\", 4], [\"telling-truth\", 5], [\"tel... | {"split": "train", "index": 16970} |
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: Logan, Aurora, Zoey, Ethan, Sophia, Emily, Evelyn, Aria, and Elizabeth. Logan stated, \"it is not the case that ((Sophia is a hero) if and only if (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1415, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 0], [\"lying\", 5]]]], [\"telling-truth\", 3], [\"->\", [\"and\", [\"not\", [\"lying\", 8]], [\"lying\", 6]], [\"and\", [\"or\"... | {"split": "train", "index": 16971} |
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: Liam, Lily, Scarlett, Aurora, Evelyn, Joseph, Noah, James, and Owen. \"if (Lily is a sinner if and only if (Noah is a sinner)) then Lily is a saint,\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1416, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 1], [\"not\", [\"telling-truth\", 6]]], [\"telling-truth\", 1]], [\"or\", [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 2], [\"te... | {"split": "train", "index": 16972} |
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: Evelyn, Sebastian, Isabella, Elizabeth, David, Ava, Mason, Oliver, and Abigail. \"David is a sinner and David is a saint\" - Evelyn. \"Ava is a saint... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1417, \"statements\": [[\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"not\", [\"lying\", 5]], [\"->\", [\"->\", [\"lying\", 0], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 7... | {"split": "train", "index": 16973} |
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: David, Olivia, Jack, William, Oliver, Elizabeth, Aurora, Avery, and Henry. David stated, \"it is not the case that ((Aurora is a laggard and Au... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1418, \"statements\": [[\"not\", [\"and\", [\"and\", [\"lying\", 6], [\"telling-truth\", 6], [\"lying\", 5]], [\"or\", [\"telling-truth\", 5], [\"lying\", 6], [\"telling-truth\", 1]]]], [\"or\", [\"or\", [\"<=>\", [\"telling-t... | {"split": "train", "index": 16974} |
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: Oliver, Elizabeth, David, Victoria, Noah, William, Luke, Jackson, and Zoey. Oliver remarked, \"(if (if Victoria is an altruist then Noah is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1419, \"statements\": [[\"and\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 6]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 7]], [\"and\", [\"telling-t... | {"split": "train", "index": 16975} |
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: William, Mia, James, Owen, Logan, Michael, Ava, Jack, and Lucas. William told you that it is not the case that (it is not the case that (William is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1420, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]]], [\"->\", [\"->\", [\"and\", [\"lying\", 7], [\"lying\", 0]], [\"<=>\", [\"lying\", 3], [\"lying\", 5]]], [\"and\", [\"and\", [\"te... | {"split": "train", "index": 16976} |
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: Emily, Jackson, Olivia, Sofia, Aiden, Isabella, Amelia, Zoey, and Sebastian. According to Emily, \"if (if Sofia is a sage then Amelia is a sage) then (if A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1421, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 6], [\"not\", [\"telling-truth\", 3]]]], [\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 8], [\"telling-tr... | {"split": "train", "index": 16977} |
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, William, Joseph, Daniel, Samuel, Noah, Elizabeth, James, and Henry. According to Avery, \"(it is not the case that (if Samuel is a knave then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1422, \"statements\": [[\"and\", [\"not\", [\"->\", [\"lying\", 4], [\"lying\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 8], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 1]]]], [\"not\", ... | {"split": "train", "index": 16978} |
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, Harper, Mia, William, Lucas, Noah, Ethan, Matthew, and Jackson. Olivia commented, \"if (Noah is a fool or (Noah is a fool or Lucas is a fool or Jac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1423, \"statements\": [[\"->\", [\"or\", [\"lying\", 5], [\"or\", [\"lying\", 5], [\"lying\", 4], [\"telling-truth\", 8]], [\"telling-truth\", 5]], [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"lying\", 5], ... | {"split": "train", "index": 16979} |
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: Scarlett, Ava, Luke, James, Grace, Emily, Sophia, Abigail, and David. As Scarlett put it, \"if (it is not the case that (if Grace is a laggard ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1424, \"statements\": [[\"->\", [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"not\", [\"lying\", 3]]]], [\"->\", [\"or\", [\"<=>\", [\"lying... | {"split": "train", "index": 16980} |
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: Isabella, Grace, Charlotte, Joseph, Jack, Owen, Benjamin, James, and Daniel. Isabella commented, \"if (it is not the case that (Joseph is a sinner)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1425, \"statements\": [[\"->\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 7], [\"lying\", 5], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 8]]]], [\"and\", [\"telling-truth\"... | {"split": "train", "index": 16981} |
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: Jackson, Alexander, Lucas, Penelope, William, Harper, Aiden, Sebastian, and Henry. Jackson said that Aiden is a fool. Alexander noted, \"Penelope is a fool... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1426, \"statements\": [[\"not\", [\"telling-truth\", 6]], [\"or\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"and\", [\"not\", [\"lying\", 8]], [\"telling-truth\", 3]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"l... | {"split": "train", "index": 16982} |
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: Logan, Sofia, Jacob, Luke, Michael, Elizabeth, Lily, Ethan, and William. Logan was heard saying, \"(if (William is a villain if and only if Jacob is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1427, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]]]], [\"<=>\",... | {"split": "train", "index": 16983} |
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: Lucas, Mia, Liam, Abigail, Ethan, Emily, Aiden, Scarlett, and Isabella. \"if (Isabella is a devil or (Isabella is a devil or Liam is an angel)) then (A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1428, \"statements\": [[\"->\", [\"or\", [\"lying\", 8], [\"or\", [\"lying\", 8], [\"telling-truth\", 2]]], [\"<=>\", [\"telling-truth\", 6], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 4]]]], [\"or\", [\"lying\", 5], [\"->\... | {"split": "train", "index": 16984} |
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: Samuel, Ethan, Luke, Avery, Sebastian, Aiden, Oliver, Emma, and Abigail. In a statement by Samuel: \"Ethan is a saint or Sebastian is a sinner\". Eth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1429, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"<=>\... | {"split": "train", "index": 16985} |
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: Matthew, Victoria, Ella, Mia, Scarlett, Lucas, Aurora, Jacob, and Ava. Matthew commented, \"((Mia is a sinner) if and only if (Victoria is a saint)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1430, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 1]]], [\"and\", [\"->\", [\"lying\", 5], [\"telling-truth\", 0]], [\"or\", [\"lying\", 7], [\"lying\", 4]], [\"not\", [\"lying... | {"split": "train", "index": 16986} |
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, Amelia, Riley, Lucas, Grace, Abigail, Ava, Avery, and Logan. Benjamin noted, \"((if Riley is a knave then Avery is a knave) and (Amelia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1431, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"lying\", 2], [\"lying\", 7]], [\"or\", [\"telling-truth\", 1], [\"lying\", 8]]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", ... | {"split": "train", "index": 16987} |
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: Samuel, Scarlett, Lily, Mia, Abigail, Amelia, Noah, Olivia, and Chloe. Samuel commented, \"((Olivia is a fool or Scarlett is a fool) if and only if (if Noa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1432, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"lying\", 7], [\"lying\", 1]], [\"->\", [\"lying\", 6], [\"telling-truth\", 6]]], [\"lying\", 2]], [\"not\", [\"<=>\", [\"not\", [\"lying\", 4]], [\"lying\", 0]]], [\"not\"... | {"split": "train", "index": 16988} |
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: Ella, Owen, Amelia, Victoria, Penelope, Lucas, Oliver, Noah, and Olivia. \"(if (Noah is an altruist or Penelope is an altruist) then (Owen is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1433, \"statements\": [[\"and\", [\"->\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 1], [\"lying\", 6]]], [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"and\", [\"... | {"split": "train", "index": 16989} |
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: Abigail, Jackson, Chloe, Sebastian, Evelyn, Ella, Lucas, Riley, and Isabella. Abigail commented, \"(it is not the case that (Lucas is an egoist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1434, \"statements\": [[\"or\", [\"not\", [\"not\", [\"telling-truth\", 6]]], [\"->\", [\"->\", [\"lying\", 6], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 5], [\"lying\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [... | {"split": "train", "index": 16990} |
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, Aria, Joseph, Scarlett, Aiden, Alexander, Amelia, Evelyn, and Harper. Chloe remarked, \"Aria is a knight if and only if (if (Scarlett is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1435, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"or\", [\"lying\", 2], [\"lying\", 4]]]], [\"not\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"l... | {"split": "train", "index": 16991} |
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, Victoria, Lucas, Chloe, Grace, Liam, Scarlett, David, and Zoey. Emily said that David is an altruist. \"((if Grace is an egoist then Zoe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1436, \"statements\": [[\"telling-truth\", 7], [\"or\", [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 8]], [\"not\", [\"lying\", 6]]], [\"telling-truth\", 6]], [\"not\", [\"not\", [\"and\", [\"lying\", 7], [\"telling-truth\",... | {"split": "train", "index": 16992} |
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: Alexander, William, Noah, Henry, Chloe, Luke, Amelia, Ethan, and Abigail. Alexander noted, \"Amelia is an angel if and only if Henry is a devil\". Will... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1437, \"statements\": [[\"<=>\", [\"telling-truth\", 6], [\"lying\", 3]], [\"lying\", 3], [\"or\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"not\", [\"lying\", 6]]], [\"or\", [\"not\", [\"telling-tr... | {"split": "train", "index": 16993} |
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: Aurora, Riley, Jacob, Sebastian, Jackson, Penelope, Scarlett, Owen, and Benjamin. According to Aurora, \"(if (Sebastian is an angel if and only if Scar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1438, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"not\", [\"lying\", 1]]], [\"lying\", 8]], [\"or\", [\"<=>\", [\"lying\", 0], [\"or\", [\"telling-truth\", 7], [\"telling-tr... | {"split": "train", "index": 16994} |
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: Olivia, Matthew, Sebastian, Avery, Riley, Benjamin, Sofia, Abigail, and Sophia. Olivia noted, \"if (if (Abigail is a knave and Sofia is a knight and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1439, \"statements\": [[\"->\", [\"->\", [\"and\", [\"lying\", 7], [\"telling-truth\", 6], [\"lying\", 1]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"telling-truth\", 5], [\"lying\", 1], [\"tell... | {"split": "train", "index": 16995} |
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: David, Jack, Samuel, Ethan, Michael, Aurora, Matthew, Sebastian, and Benjamin. In David's words: \"((Michael is a fool or David is a sage or Ethan is a foo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1440, \"statements\": [[\"or\", [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0], [\"lying\", 3]], [\"<=>\", [\"lying\", 7], [\"lying\", 5]]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 7]], [\"not\", [\"te... | {"split": "train", "index": 16996} |
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, Abigail, Evelyn, Grace, Aria, Daniel, Harper, Aiden, and Owen. Chloe commented, \"(it is not the case that (if Harper is a fool then Owen is a fool)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1441, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"lying\", 6], [\"lying\", 8]]], [\"or\", [\"<=>\", [\"lying\", 7], [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]]], [\"telling-truth\", 0], [\"<=>\", [... | {"split": "train", "index": 16997} |
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: Aria, Oliver, Lucas, Ella, Penelope, Ethan, Mason, Ava, and Lily. Aria expressed that Lily is a laggard and (Mason is a pioneer). Oliver noted,... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1442, \"statements\": [[\"and\", [\"lying\", 8], [\"not\", [\"lying\", 6]]], [\"or\", [\"lying\", 4], [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"<=>\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", ... | {"split": "train", "index": 16998} |
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: David, Chloe, Grace, Elizabeth, Ella, Olivia, Daniel, Ava, and Oliver. David was heard saying, \"Elizabeth is a hero if and only if Olivia is a hero\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1443, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"lying\", 0], [\"->\", [\"not\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 4], [\"lying\", 1]]], [\"not\", [\"and\", [\"telling-tru... | {"split": "train", "index": 16999} |
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