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 heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Samuel, Owen, Jackson, Amelia, Benjamin, Evelyn, Sebastian, Aria, and David. \"(Aria is a hero if and only if David is a villain) if and only if Owen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 232, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 8]], [\"lying\", 1]], [\"telling-truth\", 4], [\"<=>\", [\"not\", [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 0]]], [\"->\", [\"o... | {"split": "train", "index": 6900} |
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, Aria, Olivia, Benjamin, Joseph, Harper, Victoria, Ethan, and Riley. As Aurora put it, \"(Harper is a knave if and only if Aria is a knave) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 233, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 5], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 6]]], [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 7], [\"tel... | {"split": "train", "index": 6901} |
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: Emma, James, Alexander, Abigail, Michael, Joseph, Jack, Harper, and Olivia. Emma commented, \"Emma is a saint\". James was heard saying, \"if James i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 234, \"statements\": [[\"telling-truth\", 0], [\"->\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 6]], [\"<=>\", [\"lying\", 1], [\"tellin... | {"split": "train", "index": 6902} |
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, Alexander, Sebastian, William, Aria, Victoria, Henry, James, and Benjamin. According to Scarlett, \"(William is a hero or Sebastian is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 235, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 5]]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"lying\", 4]], ... | {"split": "train", "index": 6903} |
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: Joseph, Aria, Daniel, Chloe, Henry, Scarlett, Penelope, Elizabeth, and Evelyn. Joseph commented, \"Daniel is a hero\". \"Daniel is a villain\" - Aria... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 236, \"statements\": [[\"not\", [\"lying\", 2]], [\"lying\", 2], [\"telling-truth\", 4], [\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 5]]], [\"lying\", 8], [\"and\", [\"or\"... | {"split": "train", "index": 6904} |
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, Grace, Sofia, Aiden, Avery, Harper, Sophia, Sebastian, and James. According to Aria, \"(Sophia is an egoist if and only if Aiden is an al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 237, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 3]], [\"telling-truth\", 7]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 7]], [\"lying\", 4]], [\"not\", [\"not\", [\"telling-truth\", 3]... | {"split": "train", "index": 6905} |
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, Oliver, Penelope, Olivia, Aiden, Aria, Evelyn, Isabella, and Michael. In a statement by Scarlett: \"it is not the case that (Evelyn i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 238, \"statements\": [[\"not\", [\"or\", [\"lying\", 6], [\"lying\", 7]]], [\"not\", [\"telling-truth\", 6]], [\"<=>\", [\"not\", [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"and\", [\"<=>\",... | {"split": "train", "index": 6906} |
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, Logan, Zoey, Avery, Charlotte, Amelia, William, Lily, and Samuel. \"(Logan is an altruist and Samuel is an egoist) and (William is an ego... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 239, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 8]], [\"or\", [\"lying\", 6], [\"lying\", 5]]], [\"lying\", 8], [\"->\", [\"not\", [\"lying\", 6]], [\"<=>\", [\"lying\", 7], [\"lying\", 6]]], [\"n... | {"split": "train", "index": 6907} |
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: Mia, David, Lily, Scarlett, Logan, James, Emily, Daniel, and Charlotte. Mia commented, \"(Emily is a sage or Emily is a fool) if and only if (Daniel is a f... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 240, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 6], [\"lying\", 6]], [\"not\", [\"telling-truth\", 7]]], [\"<=>\", [\"lying\", 5], [\"->\", [\"lying\", 8], [\"lying\", 7]]], [\"or\", [\"or\", [\"telling-truth\", 6... | {"split": "train", "index": 6908} |
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, Logan, Sofia, Olivia, Matthew, Aria, Emma, James, and Avery. In Samuel's words: \"(Matthew is a fool and James is a sage) and (Avery is a fool)\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 241, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 8]]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"and\", [\"lying\", 3], [\"lying\", 8... | {"split": "train", "index": 6909} |
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: Sophia, Scarlett, Liam, Mason, Charlotte, Ethan, Sebastian, Penelope, and Sofia. Sophia expressed that (Penelope is a knight or Liam is a knight) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 242, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 2]], [\"lying\", 3]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 8]], [\"lying\", 6]], [\"or\", [\"not\", [\"telling-truth... | {"split": "train", "index": 6910} |
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, Owen, Scarlett, Sofia, Aiden, David, Joseph, Evelyn, and Emily. \"Sofia is a knave and (Joseph is a knight and David is a knight),\" Jackson... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 243, \"statements\": [[\"and\", [\"lying\", 3], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 5]]], [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 6], [\"telling-tr... | {"split": "train", "index": 6911} |
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: Mason, Lucas, Emily, James, Noah, Luke, Aiden, Owen, and Charlotte. \"Noah is a fool,\" Mason declared. \"(if Mason is a fool then Charlotte is a fool) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 244, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"or\", [\"->\", [\"lying\", 0], [\"lying\", 8]], [\"and\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"or\", [\"not\", [\"lying\", 7]], [\"and\", [\"telling-truth\", ... | {"split": "train", "index": 6912} |
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: Ethan, Aurora, Sebastian, Oliver, Isabella, Jacob, James, Jackson, and Noah. Ethan remarked, \"it is not the case that (Isabella is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 245, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 8], [\"lying\", 2]]], [\"telling-truth\", 4], [\"<=>\", [\"lyi... | {"split": "train", "index": 6913} |
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: William, Alexander, Logan, Penelope, Elizabeth, Benjamin, David, Samuel, and Oliver. William was heard saying, \"it is not the case that (if Sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 246, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 7], [\"lying\", 6]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"telling-truth\", 4]], [\"and\", [\"lying\", 4], [\"not\", [\"lying\", 8... | {"split": "train", "index": 6914} |
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, Logan, Aurora, Chloe, Jack, Riley, Avery, Mason, and Emily. \"(if Riley is a fool then Logan is a fool) and Chloe is a sage\" - Harper. Logan noted... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 247, \"statements\": [[\"and\", [\"->\", [\"lying\", 5], [\"lying\", 1]], [\"telling-truth\", 3]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"or\",... | {"split": "train", "index": 6915} |
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, Charlotte, Penelope, Isabella, Lucas, Amelia, Joseph, Harper, and Grace. Scarlett noted, \"Penelope is a laggard\". In a statement by... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 248, \"statements\": [[\"lying\", 2], [\"telling-truth\", 0], [\"<=>\", [\"->\", [\"lying\", 0], [\"lying\", 4]], [\"not\", [\"lying\", 6]]], [\"not\", [\"->\", [\"lying\", 6], [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"l... | {"split": "train", "index": 6916} |
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, Alexander, Ethan, Jacob, Emily, Aiden, Matthew, Riley, and Samuel. \"(if Riley is a saint then Ethan is a sinner) or Emily is a sinner,\" Aver... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 249, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 7], [\"lying\", 2]], [\"lying\", 4]], [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"->\", [\"tell... | {"split": "train", "index": 6917} |
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, Matthew, Charlotte, Isabella, Noah, Luke, Samuel, Aiden, and Lucas. \"if (Luke is a fool and Lucas is a sage) then Lucas is a fool\" - Lily. Accordin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 250, \"statements\": [[\"->\", [\"and\", [\"lying\", 5], [\"telling-truth\", 8]], [\"lying\", 8]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 8]]], ... | {"split": "train", "index": 6918} |
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: Grace, Charlotte, Samuel, Aiden, Mason, Sebastian, Chloe, Aurora, and Ethan. \"it is not the case that (Sebastian is a sage and Grace is a sage),\" Grace m... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 251, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"lying\", 0], [\"telling-truth\", 0]], [\"lying\", 2]], [\"or\", [\"and\", [\"lying\", 6], [\"telling-truth\", 3]... | {"split": "train", "index": 6919} |
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: Alexander, Daniel, Olivia, Abigail, Lily, Chloe, Charlotte, Jacob, and Benjamin. \"if (Abigail is a hero) then (Charlotte is a villain if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 252, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 6], [\"lying\", 5]]], [\"and\", [\"<=>\", [\"lying\", 5], [\"lying\", 4]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 4]]], [\"<=>\", [\... | {"split": "train", "index": 6920} |
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: James, Grace, Chloe, Jacob, Liam, Abigail, Aurora, Lily, and Mia. According to James, \"(Abigail is a sinner or Liam is a saint) or (Jacob is a sinne... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 253, \"statements\": [[\"or\", [\"or\", [\"lying\", 5], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"lying\", 5]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 0]... | {"split": "train", "index": 6921} |
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: Aria, Lucas, Aiden, Zoey, Jacob, Jackson, Mason, Liam, and Lily. \"(Liam is a knave) or (Lucas is a knave),\" Aria mentioned. In Lucas's words: \"(Li... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 254, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"not\", [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 3], [\"lying\", 0]]], [\"or\", [\"not\", [\"telling-truth... | {"split": "train", "index": 6922} |
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: Benjamin, Amelia, Mia, Logan, Michael, Grace, Oliver, Joseph, and Alexander. As Benjamin put it, \"(if Grace is a devil then Michael is an angel) or (O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 255, \"statements\": [[\"or\", [\"->\", [\"lying\", 5], [\"telling-truth\", 4]], [\"and\", [\"lying\", 6], [\"lying\", 2]]], [\"lying\", 2], [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3]], [\"not\", [\"telling-tru... | {"split": "train", "index": 6923} |
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: Harper, Samuel, Abigail, Daniel, Joseph, Aiden, Henry, Sophia, and William. \"it is not the case that (Aiden is a knight and Daniel is a knight)\" - ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 256, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"->\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"not\", [\"telling-t... | {"split": "train", "index": 6924} |
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: Michael, Daniel, Aurora, Penelope, Avery, Alexander, Isabella, Victoria, and Ella. Michael asserted: \"if (Avery is a fool if and only if Michael is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 257, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"lying\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"telling-truth\", 5]], [\"->\",... | {"split": "train", "index": 6925} |
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: Chloe, Mia, Jackson, Noah, Scarlett, Harper, Matthew, Sofia, and Emma. \"(Matthew is an egoist) if and only if (Harper is an altruist),\" Chloe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 258, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 6]], [\"not\", [\"lying\", 5]]], [\"or\", [\"not\", [\"lying\", 3]], [\"lying\", 5]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"and\",... | {"split": "train", "index": 6926} |
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: Grace, Emily, Mia, Charlotte, Oliver, Alexander, Sophia, Jack, and Aria. According to Grace, \"(Mia is a fool) and (if Charlotte is a fool then Emily is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 259, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 7], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 7]]... | {"split": "train", "index": 6927} |
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: Olivia, Jacob, Abigail, Sebastian, Matthew, Jack, Liam, Ella, and Victoria. Olivia asserted: \"(Matthew is a devil) and Jacob is an angel\". According ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 260, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 1]], [\"lying\", 4], [\"not\", [\"telling-truth\", 8]], [\"or\", [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 5], [\"lying\", 4]]], [\"n... | {"split": "train", "index": 6928} |
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: Sophia, Isabella, Logan, Penelope, Elizabeth, Owen, Riley, Oliver, and Michael. Sophia expressed that if (Owen is a laggard or Michael is a lag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 261, \"statements\": [[\"->\", [\"or\", [\"lying\", 5], [\"lying\", 8]], [\"not\", [\"telling-truth\", 5]]], [\"->\", [\"telling-truth\", 3], [\"not\", [\"lying\", 6]]], [\"not\", [\"not\", [\"lying\", 8]]], [\"not\", [\"->\",... | {"split": "train", "index": 6929} |
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: Luke, Riley, Benjamin, Mia, Henry, Alexander, Chloe, Lucas, and Zoey. Luke stated, \"(Chloe is a villain or Riley is a villain) and (Lucas is a villa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 262, \"statements\": [[\"and\", [\"or\", [\"lying\", 6], [\"lying\", 1]], [\"or\", [\"lying\", 7], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 8]], [\"->\", [\"lying\", 7], [\"<=>\", [\"l... | {"split": "train", "index": 6930} |
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, Emily, Jacob, Aria, Lily, David, Sofia, Owen, and Sophia. In Daniel's words: \"(Emily is a sage if and only if Sofia is a sage) or (Lily is a fool ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 263, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 4], [\"lying\", 7]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\... | {"split": "train", "index": 6931} |
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: Elizabeth, Mia, Luke, Logan, Charlotte, Isabella, William, Avery, and Zoey. Elizabeth noted, \"Zoey is a fool\". Mia told you that (William is a fool and A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 264, \"statements\": [[\"not\", [\"telling-truth\", 8]], [\"<=>\", [\"and\", [\"lying\", 6], [\"telling-truth\", 7]], [\"not\", [\"lying\", 6]]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"lying\... | {"split": "train", "index": 6932} |
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: Ella, Charlotte, Sofia, Zoey, Sophia, Lily, David, Luke, and Jackson. According to Ella, \"(Luke is a knight if and only if Charlotte is a knight) an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 265, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"lying\", 5]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"lying\", 7]], [\"->\", [\"telling-truth\", 5], [\"tel... | {"split": "train", "index": 6933} |
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: Jacob, Benjamin, Scarlett, Sophia, Luke, Henry, Abigail, Ava, and Daniel. Jacob remarked, \"(Sophia is a knight if and only if Ava is a knight) or (D... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 266, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 8], [\"lying\", 3]]], [\"and\", [\"not\", [\"lying\", 6]], [\"<=>\", [\"lying\", 0], [\"lying\", 5]]], [\"or\", [\... | {"split": "train", "index": 6934} |
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, Jacob, Samuel, Noah, Matthew, Lily, Victoria, Jackson, and Avery. Abigail said that (Victoria is a sage) and Noah is a sage. Jacob told you that (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 267, \"statements\": [[\"and\", [\"not\", [\"lying\", 6]], [\"telling-truth\", 3]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 5]]], [\"telling-tru... | {"split": "train", "index": 6935} |
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: Matthew, Isabella, James, Joseph, Lucas, Victoria, William, Liam, and Ella. According to Matthew, \"it is not the case that (Lucas is a sage)\". In Isabell... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 268, \"statements\": [[\"not\", [\"not\", [\"lying\", 4]]], [\"and\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"telling-truth\", 8]]], [\"or\", [\"or\", [\"lying\", 6], [\"lying\", ... | {"split": "train", "index": 6936} |
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, Ella, Ava, David, Noah, William, Grace, Lily, and Abigail. Sophia expressed that (Sophia is a fool) if and only if (if Abigail is a fool then Abiga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 269, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 8], [\"telling-truth\", 8]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 4]]... | {"split": "train", "index": 6937} |
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: Luke, Avery, Sebastian, Henry, Sofia, Ava, David, Lucas, and Joseph. Luke remarked, \"if Joseph is a villain then (Luke is a villain)\". Avery noted,... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 270, \"statements\": [[\"->\", [\"lying\", 8], [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 5], [\"telling-trut... | {"split": "train", "index": 6938} |
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, Lily, Avery, Mason, William, Michael, Joseph, Amelia, and Samuel. Ava stated, \"(Mason is a pioneer if and only if Samuel is a laggard) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 271, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 8]], [\"<=>\", [\"lying\", 8], [\"lying\", 2]]], [\"and\", [\"lying\", 0], [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"->\", [\"not\", [\"lying\",... | {"split": "train", "index": 6939} |
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: Aiden, Henry, Owen, Lucas, Mason, Michael, Ava, Grace, and Scarlett. According to Aiden, \"(Michael is a knight if and only if Mason is a knight) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 272, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"lying\", 4]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 8]]], [\"<=>\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"telling... | {"split": "train", "index": 6940} |
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, Evelyn, James, Logan, Sofia, Liam, Aurora, Owen, and Abigail. As Zoey put it, \"if James is a pioneer then Zoey is a pioneer\". According... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 273, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"lying\", 2], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"telling-truth\", 7]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"tel... | {"split": "train", "index": 6941} |
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: Henry, Avery, Michael, Victoria, Jack, Zoey, Benjamin, Olivia, and Chloe. Henry remarked, \"Benjamin is an altruist\". Avery said that (if Benj... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 274, \"statements\": [[\"telling-truth\", 6], [\"<=>\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 7]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-tr... | {"split": "train", "index": 6942} |
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, Mia, Sofia, Lucas, Scarlett, Isabella, Chloe, Victoria, and Henry. Samuel expressed that Victoria is a knave. \"(Isabella is a knight if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 275, \"statements\": [[\"lying\", 7], [\"<=>\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"lying\", 6]]], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"or\",... | {"split": "train", "index": 6943} |
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, Evelyn, Liam, Oliver, Jack, Lucas, Ethan, Samuel, and Amelia. \"(Evelyn is a sinner) if and only if (Amelia is a sinner and Evelyn is a sain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 276, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 8], [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 7]], [\"not\", [\"lying\", 4]]], [\"lying\", ... | {"split": "train", "index": 6944} |
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: Mia, Zoey, Lucas, David, Liam, Ethan, Penelope, Alexander, and Oliver. As Mia put it, \"it is not the case that (Zoey is a knight and Mia is a knight... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 277, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"telling-truth\", 5]]], [\"and\", [\"not\", [\"telling-truth\", 6]], [\"lying\", 3]], [\"and\", [\"->\", [\"lyin... | {"split": "train", "index": 6945} |
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: Grace, Jackson, Daniel, Charlotte, Ella, Noah, Ava, Jacob, and Henry. Grace said, \"it is not the case that (Jackson is a saint or Ella is a sinner).... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 278, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"->\", [\"or\", [\"lying\", 0], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 7]]], [\"or\", [\"or\", [\"lying\", 4]... | {"split": "train", "index": 6946} |
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, Oliver, Amelia, Evelyn, William, Grace, Avery, Samuel, and Noah. Harper said, \"it is not the case that (Evelyn is a villain or Grace is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 279, \"statements\": [[\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 5]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2]], [\"->\", [\"telling-truth\", 0], [\"lying\", 8]]], [\"->\", [\"<=>\", [\"lying\", 4]... | {"split": "train", "index": 6947} |
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, Penelope, Michael, Henry, Elizabeth, Olivia, Lucas, Sophia, and David. \"Penelope is a villain,\" Oliver mentioned. Penelope expressed that (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 280, \"statements\": [[\"lying\", 1], [\"or\", [\"not\", [\"lying\", 7]], [\"->\", [\"telling-truth\", 8], [\"lying\", 6]]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 5],... | {"split": "train", "index": 6948} |
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: Mason, Noah, Aria, Sofia, Jacob, Benjamin, Jackson, Michael, and James. Mason expressed that if (if Aria is a hero then Jackson is a hero) then (Sofi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 281, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 5]], [\"->\", [\"lying... | {"split": "train", "index": 6949} |
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: Mason, Liam, Lily, Luke, Aurora, Harper, Penelope, Ella, and Aria. In a statement by Mason: \"it is not the case that (Aurora is an altruist)\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 282, \"statements\": [[\"not\", [\"not\", [\"lying\", 4]]], [\"and\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 7]], [\"or\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"lying\", 6], [\"lying\", 0]], [\... | {"split": "train", "index": 6950} |
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, James, Penelope, Avery, Emma, Henry, Michael, Sofia, and Chloe. In Lucas's words: \"it is not the case that (Chloe is a sage if and only if Henry is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 283, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 5]]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 7]]], [\"not\", [\"->\", [\"l... | {"split": "train", "index": 6951} |
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, Luke, Logan, Grace, Lily, Mia, Jackson, Aiden, and Henry. Alexander noted, \"if (if Henry is a fool then Jackson is a fool) then (if Mia is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 284, \"statements\": [[\"->\", [\"->\", [\"lying\", 8], [\"lying\", 6]], [\"->\", [\"telling-truth\", 5], [\"lying\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 7], [... | {"split": "train", "index": 6952} |
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: Evelyn, Alexander, Elizabeth, Scarlett, Emily, Luke, Charlotte, William, and Logan. Evelyn remarked, \"(Charlotte is a pioneer if and only if W... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 285, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 7]], [\"lying\", 7]], [\"<=>\", [\"and\", [\"lying\", 0], [\"lying\", 7]], [\"->\", [\"telling-truth\", 4], [\"lying\", 7]]], [\"lying\", 5]... | {"split": "train", "index": 6953} |
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, Riley, Isabella, Grace, Scarlett, Ava, Lucas, Oliver, and Henry. Abigail expressed that if (Abigail is an angel or Lucas is a devil) then (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 286, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 6]], [\"->\", [\"telling-truth\", 4], [\"lying\", 8]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]]]... | {"split": "train", "index": 6954} |
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: Olivia, Jacob, Luke, Scarlett, Sofia, Oliver, Alexander, Victoria, and Charlotte. According to Olivia, \"(Luke is an altruist) and Jacob is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 287, \"statements\": [[\"and\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 1]], [\"and\", [\"and\", [\"lying\", 0], [\"lying\", 8]], [\"<=>\", [\"lying\", 8], [\"lying\", 5]]], [\"lying\", 5], [\"<=>\", [\"not\", [\"tellin... | {"split": "train", "index": 6955} |
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: Chloe, Noah, David, Benjamin, Charlotte, Ava, Henry, Jackson, and Mia. Chloe stated, \"(David is an altruist if and only if Benjamin is an altr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 288, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 6]]], [\"or\", [\"and\", [\"telling-truth\", 6], [\"lying\", 7]], [\"->\", [\"telling-truth\", 4], [\"lyi... | {"split": "train", "index": 6956} |
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, Lily, Daniel, Sophia, Isabella, Luke, Lucas, Mia, and Riley. Sofia asserted: \"it is not the case that (Lucas is a knave if and only if Lucas ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 289, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 6]]], [\"->\", [\"telling-truth\", 6], [\"<=>\", [\"lying\", 7], [\"lying\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 6]], [\"te... | {"split": "train", "index": 6957} |
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: William, Lily, Grace, Emma, Henry, Aria, Scarlett, Alexander, and Aiden. William commented, \"(if Aiden is a fool then Emma is a fool) or (if Grace is a fo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 290, \"statements\": [[\"or\", [\"->\", [\"lying\", 8], [\"lying\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 5]]], [\"->\", [\"not\", [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]],... | {"split": "train", "index": 6958} |
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, Abigail, Daniel, Olivia, Jackson, Grace, Aurora, Emma, and Sebastian. \"(if Jackson is an altruist then Daniel is an egoist) and (Emma ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 291, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 5]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 6]], [\"or\", [\"lying\", 3], [\"telling-trut... | {"split": "train", "index": 6959} |
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, Emily, Mia, Chloe, Matthew, Zoey, Logan, Mason, and Riley. Joseph noted, \"it is not the case that (Matthew is a devil if and only if Zoey is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 292, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 5]]], [\"not\", [\"telling-truth\", 8]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"and\", [... | {"split": "train", "index": 6960} |
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: Emma, Joseph, Luke, Lily, Harper, Noah, Aiden, William, and Grace. Emma was heard saying, \"it is not the case that (Harper is a sage)\". \"Lily is a fool,... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 293, \"statements\": [[\"not\", [\"not\", [\"lying\", 4]]], [\"lying\", 3], [\"telling-truth\", 5], [\"->\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"... | {"split": "train", "index": 6961} |
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: Mia, Matthew, Aurora, James, Joseph, Luke, Aiden, Isabella, and Lucas. Mia stated, \"if (Aiden is a sage and Isabella is a sage) then (Matthew is a sage if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 294, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 3]], [\"not\",... | {"split": "train", "index": 6962} |
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: Jacob, Scarlett, William, Oliver, Evelyn, Daniel, Logan, Ella, and Aiden. Jacob stated, \"(Aiden is a devil) if and only if (if William is an angel the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 295, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"not\", [\"lying\", 7]]], [\"or\", [\"... | {"split": "train", "index": 6963} |
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, Harper, Isabella, Olivia, Liam, Matthew, David, Aiden, and Oliver. According to Amelia, \"(Isabella is a sage or Aiden is a sage) or (Isabella is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 296, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 7]], [\"or\", [\"lying\", 2], [\"telling-truth\", 5]]], [\"or\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"->\", [\"lying\"... | {"split": "train", "index": 6964} |
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, Evelyn, William, Alexander, Benjamin, Owen, Henry, Lily, and Samuel. Amelia noted, \"if (Henry is a fool) then (Benjamin is a sage if and only if S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 297, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 8]]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 5]], [\"lying\", 8]], [\"<=>\", [\"<=>\", [\"telling... | {"split": "train", "index": 6965} |
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, Oliver, Zoey, Aurora, Sophia, David, Noah, Ethan, and Scarlett. In a statement by Liam: \"(if Noah is a sinner then Noah is a saint) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 298, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 6], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 2], [\"lying\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"telli... | {"split": "train", "index": 6966} |
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, Michael, Olivia, Evelyn, Isabella, Penelope, Elizabeth, Charlotte, and Henry. Benjamin stated, \"(if Benjamin is a saint then Evelyn is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 299, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 5]]], [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 6]], [\"not\", [\"telling-truth\", 6]... | {"split": "train", "index": 6967} |
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: Matthew, Michael, James, William, Logan, Samuel, Mason, Sofia, and Aurora. Matthew noted, \"(Aurora is a hero if and only if William is a villain) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 300, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 3]], [\"lying\", 1]], [\"->\", [\"not\", [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"<=>\", [\"lying\", 3... | {"split": "train", "index": 6968} |
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, Emma, Sebastian, Joseph, Henry, Noah, Daniel, Ethan, and Samuel. \"(Daniel is a laggard if and only if Sebastian is a laggard) or (if Jo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 301, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 6], [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"lying\", 5]]], [\"not\", [\"not\", [\"lying\", 0]]], [\"not\", [\"not\", [\"telling-truth\", 8]]], [\"telling-truth\", 4], [... | {"split": "train", "index": 6969} |
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, Ethan, Alexander, Zoey, Jack, Abigail, Riley, Ava, and Daniel. Logan asserted: \"Jack is a fool\". Ethan was heard saying, \"if Abigail is a fool th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 302, \"statements\": [[\"lying\", 4], [\"->\", [\"lying\", 5], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"or\", [\"lying\", 1], [\"and\", [\"lying\", 0], [\"lying\", 6]]], [\"<=>\", [\"and\", [\"telling-trut... | {"split": "train", "index": 6970} |
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: Aiden, Grace, Aurora, Sofia, Daniel, Lily, Benjamin, Avery, and Riley. As Aiden put it, \"Avery is a knave\". In a statement by Grace: \"(if Daniel i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 303, \"statements\": [[\"lying\", 7], [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 5]], [\"->\", [\"lying\", 1]... | {"split": "train", "index": 6971} |
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: Jack, Sofia, Alexander, Amelia, James, Zoey, Lucas, Emily, and Victoria. In Jack's words: \"Victoria is a knave or (Alexander is a knight or James is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 304, \"statements\": [[\"or\", [\"lying\", 8], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"->\", [\"telling-truth\", 8], [\"lying\", 2]]], [\"telling... | {"split": "train", "index": 6972} |
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: Grace, Sofia, Victoria, Emma, Mia, Luke, Joseph, Oliver, and Evelyn. Grace commented, \"(if Grace is a knight then Mia is a knight) if and only if (J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 305, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 6], [\"lying\", 5]]], [\"telling-truth\", 1], [\"<=>\", [\"and\", [\"telling-truth\", 7], [\"lying\", 0]],... | {"split": "train", "index": 6973} |
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, Benjamin, Aurora, Sofia, Avery, Charlotte, Daniel, William, and Chloe. Emily was heard saying, \"Emily is an angel\". \"if (Sofia is an angel or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 306, \"statements\": [[\"telling-truth\", 0], [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"lying\", 6]]], [\"not\", [\"and\", [\"lying\", 6], [\"lying\", 8]]], [\"<=>\", [\"->\", [\"telling-t... | {"split": "train", "index": 6974} |
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, Riley, Penelope, Daniel, William, Ella, Henry, Luke, and Isabella. James commented, \"if (William is a pioneer and William is a laggard)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 307, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"telling-truth\", 8]]], [\"not\", [\"and\", [\"lying\", 2], [\"lying\", 7]]], [\"<=>\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [... | {"split": "train", "index": 6975} |
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, Henry, Sophia, Emma, Elizabeth, Olivia, Samuel, William, and Charlotte. Ella noted, \"(Elizabeth is a devil or Charlotte is a devil) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 308, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 8]], [\"and\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"not\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 8]]], [\"or\", [\"or\", [\"telling-tr... | {"split": "train", "index": 6976} |
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: Aria, Evelyn, Aurora, David, Ella, Elizabeth, Michael, Oliver, and Mason. Aria remarked, \"it is not the case that (Michael is a sinner if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 309, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 6], [\"lying\", 8]]], [\"and\", [\"or\", [\"telling-truth\", 6], [\"lying\", 4]], [\"not\", [\"lying\", 0]]], [\"->\", [\"->\", [\"lying\", 5], [\"lying\", 1]], [\"->\", [\... | {"split": "train", "index": 6977} |
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, Henry, Zoey, Aiden, Luke, James, Noah, Isabella, and Daniel. \"Noah is a fool\" - Emily. Henry commented, \"(if Aiden is a sage then Zoey is a fool)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 310, \"statements\": [[\"lying\", 6], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 8]], [\"->\",... | {"split": "train", "index": 6978} |
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, Logan, Avery, Harper, Daniel, Benjamin, Elizabeth, Liam, and Abigail. Sebastian was heard saying, \"Benjamin is a villain or (Benjamin is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 311, \"statements\": [[\"or\", [\"lying\", 5], [\"not\", [\"lying\", 5]]], [\"telling-truth\", 5], [\"not\", [\"not\", [\"lying\", 3]]], [\"or\", [\"lying\", 8], [\"or\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"->\", [\"o... | {"split": "train", "index": 6979} |
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, Logan, Evelyn, Liam, Joseph, Scarlett, Michael, Aurora, and Emily. Sofia remarked, \"it is not the case that (Evelyn is a laggard or Emi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 312, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 8]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"lying\", 8], [\"or\", [\"ly... | {"split": "train", "index": 6980} |
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: Sebastian, Samuel, Evelyn, Jacob, Zoey, Victoria, Sofia, Emily, and Liam. In Sebastian's words: \"Victoria is a sage or (Sebastian is a fool)\". Samuel exp... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 313, \"statements\": [[\"or\", [\"telling-truth\", 5], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"telling-truth\", 5], [\"lying\", 6]], [\"not\", [\"lying\", 3]]], [\"and\", [\"not\", [\"lying\", 0]], [\"<=>\", ... | {"split": "train", "index": 6981} |
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: Elizabeth, Owen, Victoria, Charlotte, Mia, Jacob, Aurora, Scarlett, and Chloe. Elizabeth told you that (Victoria is an angel) if and only if Elizabeth ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 314, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 0]], [\"or\", [\"lying\", 0], [\"and\", [\"telling-truth\", 0], [\"lying\", 8]]], [\"lying\", 5], [\"->\", [\"and\", [\"lying\", 5], [\"lying\", 7]... | {"split": "train", "index": 6982} |
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, Oliver, Matthew, Avery, Isabella, Sebastian, Riley, Ella, and Penelope. Jacob expressed that Ella is a pioneer or (if Jacob is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 315, \"statements\": [[\"or\", [\"telling-truth\", 7], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"telling-truth\", 2], [\"lying\", 8], [\"->\", [\"not\", [\"lying\", 0]], [\"->\", [\"lying\", 2], [\"telling-truth\",... | {"split": "train", "index": 6983} |
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, Mason, Olivia, Grace, Sofia, Logan, Samuel, Elizabeth, and Evelyn. In a statement by Riley: \"it is not the case that (Elizabeth is a villain ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 316, \"statements\": [[\"not\", [\"or\", [\"lying\", 7], [\"telling-truth\", 5]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 6]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"telling-t... | {"split": "train", "index": 6984} |
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, Isabella, Jack, Sophia, Mia, Alexander, Sofia, Emily, and Charlotte. \"(Charlotte is a hero if and only if Sofia is a villain) or (Mia is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 317, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 6]], [\"<=>\", [\"lying\", 4], [\"lying\", 5]]], [\"not\", [\"not\", [\"lying\", 8]]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 5]]], ... | {"split": "train", "index": 6985} |
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: Riley, Penelope, Emma, Aria, Henry, Abigail, Chloe, Avery, and Aurora. In a statement by Riley: \"it is not the case that (Aurora is a saint)\". Pene... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 318, \"statements\": [[\"not\", [\"not\", [\"lying\", 8]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 7]]], [\"lying\", 0], [\"and\", [\"not\", [\"lying\... | {"split": "train", "index": 6986} |
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, Jack, Benjamin, Sebastian, Evelyn, Aurora, Scarlett, Aiden, and Zoey. Joseph said that it is not the case that (Aurora is an angel if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 319, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 5]]], [\"or\", [\"no... | {"split": "train", "index": 6987} |
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, Mason, Avery, Grace, Abigail, Ella, Ethan, Matthew, and Oliver. According to Sophia, \"(Matthew is a fool if and only if Grace is a sage) or (Sophi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 320, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 5]]], [\"and\", [\"not\", [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"telling-tr... | {"split": "train", "index": 6988} |
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, Benjamin, Abigail, Sofia, Mason, Ava, Harper, Alexander, and Henry. Jack told you that Benjamin is a sage or Abigail is a sage. \"(Abigail is a fool)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 321, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"telling-truth\", 8]]], [\"or\", [\"not\", [\"lying\", 6]], [\"or\", [\"te... | {"split": "train", "index": 6989} |
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: Riley, Aria, Lucas, Jacob, Luke, Noah, Daniel, Emily, and Henry. \"Aria is a laggard,\" Riley declared. Aria remarked, \"(Daniel is a pioneer o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 322, \"statements\": [[\"lying\", 1], [\"and\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"->\", [\"or\", [\"lying\", 5], [\"lying\", 3]], [\"or\", [\"telling-truth\... | {"split": "train", "index": 6990} |
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, Riley, Oliver, Matthew, Samuel, Evelyn, Liam, David, and Lucas. Emma said that (Riley is a hero and Riley is a villain) and (Samuel is a villai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 323, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"lying\", 6], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 6]]], [\"not\", [\"telling-t... | {"split": "train", "index": 6991} |
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, Sophia, Matthew, Ethan, Michael, Scarlett, Evelyn, Victoria, and Ava. \"if Michael is a pioneer then (Scarlett is a pioneer or Ava is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 324, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 5], [\"lying\", 8]]], [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 7]], [\"not\", [\"telling-truth\", 8]]], [\"and\", [\"or\", [\"telling-tr... | {"split": "train", "index": 6992} |
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: Grace, Olivia, Zoey, Abigail, Jack, Avery, Charlotte, Oliver, and Joseph. In a statement by Grace: \"(if Charlotte is a fool then Oliver is a fool) or (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 325, \"statements\": [[\"or\", [\"->\", [\"lying\", 6], [\"lying\", 7]], [\"->\", [\"lying\", 8], [\"telling-truth\", 7]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 8]], [\"and\", [\"lying\", 6], [\"lying... | {"split": "train", "index": 6993} |
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: Sophia, Oliver, Elizabeth, Olivia, Noah, Liam, Luke, Evelyn, and Emma. Sophia stated, \"Emma is a pioneer\". Oliver expressed that (Emma is a l... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 326, \"statements\": [[\"telling-truth\", 8], [\"<=>\", [\"and\", [\"lying\", 8], [\"lying\", 0]], [\"or\", [\"lying\", 8], [\"telling-truth\", 8]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"->\", [\"ly... | {"split": "train", "index": 6994} |
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: Lily, Jacob, Riley, Michael, Alexander, Ella, Grace, Ethan, and Sebastian. \"if (Lily is a sinner) then (Ella is a saint if and only if Michael is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 327, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"lying\",... | {"split": "train", "index": 6995} |
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, Jacob, Sebastian, Evelyn, Noah, Olivia, Amelia, Charlotte, and James. \"if (Evelyn is a sinner and Evelyn is a saint) then (Olivia is a sinner ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 328, \"statements\": [[\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"lying\", 5], [\"lying\", 4]]], [\"and\", [\"lying\", 0], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 6]]], [\"not\", [\"or... | {"split": "train", "index": 6996} |
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, David, Noah, Olivia, Emma, Luke, James, Mia, and Amelia. Isabella said that if (Noah is a villain if and only if Olivia is a villain) then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 329, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"not\", [\"lying\", 2]]], [\"and\", [\"telling-truth\", 3], [\"not\", [\"lying\", 0]]], [\"and\", [\"lying\", 8], [\"lying\", 7]], [\"and\", [\"lying\... | {"split": "train", "index": 6997} |
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, James, Oliver, Abigail, Lily, Ava, Noah, and Victoria. \"Luke is an altruist or (James is an egoist if and only if Luke is an alt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 330, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 6]], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"not\... | {"split": "train", "index": 6998} |
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, Alexander, Ella, Matthew, Henry, Penelope, Samuel, Owen, and Jackson. Michael told you that Ella is an altruist. \"Samuel is an egoist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 331, \"statements\": [[\"telling-truth\", 2], [\"lying\", 6], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 7]], [\"or\", [\"<=>\", [\"lying\", 1], [\"lying\", 0]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\"... | {"split": "train", "index": 6999} |
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