data_source stringclasses 1
value | prompt stringlengths 657 2.81k | ability stringclasses 1
value | reward_model stringlengths 1.3k 5.51k | extra_info stringlengths 30 34 |
|---|---|---|---|---|
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 5 inhabitants: Isabella, Elizabeth, William, James, and David. In a statement by Isabella: \"(David is an egoist if and only if James is an egoist) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2188, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"and\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"lying\", 0], [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 3]]... | {"split": "train", "index": 13300} |
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 5 inhabitants: Abigail, Mia, Elizabeth, Mason, and Benjamin. Abigail said that Benjamin is a pioneer. As Mia put it, \"Abigail is a laggard\". Elizabeth said,... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2189, \"statements\": [[\"telling-truth\", 4], [\"lying\", 0], [\"lying\", 0], [\"or\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 4], [\"lying\", 0]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"telling... | {"split": "train", "index": 13301} |
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 5 inhabitants: Sebastian, Alexander, Emily, Aurora, and Abigail. Sebastian told you that (Alexander is an altruist if and only if Aurora is an altruist) and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2190, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"tell... | {"split": "train", "index": 13302} |
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 5 inhabitants: Amelia, Ava, Henry, Emma, and Sofia. \"Henry is a devil\" - Amelia. Ava said that (Emma is a devil or Henry is a devil) if and only if Henry is an ange... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2191, \"statements\": [[\"lying\", 2], [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 2]], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"or\", [\"and\", [\"tel... | {"split": "train", "index": 13303} |
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 5 inhabitants: Emily, Daniel, Mason, Ethan, and Jack. In a statement by Emily: \"(Ethan is a sage or Daniel is a fool or Ethan is a fool or Mason is a fool) or (Daniel is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2192, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1], [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"lying\", 1], [\"telling-truth\", 3]], [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"lying\"... | {"split": "train", "index": 13304} |
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 5 inhabitants: Scarlett, Zoey, Logan, Ella, and Avery. \"it is not the case that (Scarlett is a knight and Ella is a knave),\" Scarlett mentioned. According to Zoey... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2193, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"not\", [\"telling-truth\", 0]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"ly... | {"split": "train", "index": 13305} |
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 5 inhabitants: Jack, Aiden, Victoria, Owen, and Sophia. Jack asserted: \"(Victoria is an angel and Sophia is an angel and Aiden is a devil) or Aiden is an angel\". Ai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2194, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"lying\", 1]], [\"telling-truth\", 1]], [\"not\", [\"not\", [\"lying\", 3]]], [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-tru... | {"split": "train", "index": 13306} |
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 5 inhabitants: Benjamin, Noah, Lucas, Penelope, and Aiden. As Benjamin put it, \"Aiden is a laggard or (Benjamin is a pioneer or Noah is a pioneer or Aiden is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2195, \"statements\": [[\"or\", [\"lying\", 4], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\",... | {"split": "train", "index": 13307} |
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 5 inhabitants: Sofia, Amelia, Harper, Isabella, and Noah. Sofia was heard saying, \"(Sofia is an angel or Noah is a devil) if and only if Amelia is an angel\". Amelia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2196, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]], [\"telling-truth\", 1]], [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"<=>... | {"split": "train", "index": 13308} |
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 5 inhabitants: Benjamin, Amelia, Sofia, Victoria, and Avery. Benjamin said, \"it is not the case that (Amelia is a sinner or Avery is a saint or Sofia is a saint or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2197, \"statements\": [[\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 4], [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"and\", [\"->\", [\"lying\", 0], [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"telli... | {"split": "train", "index": 13309} |
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 5 inhabitants: Aurora, Matthew, Grace, Zoey, and Olivia. In Aurora's words: \"it is not the case that (Grace is a fool and Olivia is a fool and Olivia is a sage)\". Matth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2198, \"statements\": [[\"not\", [\"and\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 4]]], [\"and\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"->\",... | {"split": "train", "index": 13310} |
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 5 inhabitants: Lucas, Ethan, Mason, James, and Victoria. In a statement by Lucas: \"James is a knight if and only if (Victoria is a knave if and only if Victoria is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2199, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"lying\", 0], [\"lying\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0... | {"split": "train", "index": 13311} |
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 5 inhabitants: David, Amelia, Scarlett, Noah, and Riley. David remarked, \"Noah is an angel if and only if Riley is a devil\". In a statement by Amelia: \"(Scarlett i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2200, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\",... | {"split": "train", "index": 13312} |
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 5 inhabitants: Jacob, Mason, Olivia, Charlotte, and Abigail. Jacob expressed that (if Abigail is a knave then Charlotte is a knight) if and only if (Mason is a knav... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2201, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 1], [\"lying\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"... | {"split": "train", "index": 13313} |
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 5 inhabitants: Mia, Jackson, Luke, Jacob, and Owen. Mia remarked, \"Owen is a saint\". As Jackson put it, \"Owen is a saint\". Luke commented, \"Owen is a saint and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2202, \"statements\": [[\"telling-truth\", 4], [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 4], [\"lying\", 0]], [\"or\", [\"or\", [\"lying\", 0], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"->\", [\"lying\", ... | {"split": "train", "index": 13314} |
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 5 inhabitants: Emma, Grace, Ava, Isabella, and Aria. Emma said that it is not the case that (if Isabella is a laggard then Grace is a pioneer). As Grace put i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2203, \"statements\": [[\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"lying\", 3], [\"->\", [\"or\", [\"lying\", 1], [\"lying\", 4], [\"telling-trut... | {"split": "train", "index": 13315} |
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 5 inhabitants: Harper, Scarlett, Ava, Aurora, and Joseph. In Harper's words: \"it is not the case that (Ava is a pioneer and Scarlett is a laggard and Scarlet... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2204, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 1]... | {"split": "train", "index": 13316} |
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 5 inhabitants: Riley, Chloe, Jack, Emily, and Oliver. Riley was heard saying, \"(Oliver is an angel) and Jack is a devil and (Chloe is an angel) and (if Riley is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2205, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"lying\", 2], [\"not\", [\"lying\", 1]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"telling-truth\", 1], [\"->\", [\"not\", [\"lying\", 1]], [\"n... | {"split": "train", "index": 13317} |
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 5 inhabitants: Joseph, Daniel, Noah, Lily, and Aiden. Joseph stated, \"Lily is a knight\". Daniel expressed that (Lily is a knight and Lily is a knave) and (Joseph ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2206, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling... | {"split": "train", "index": 13318} |
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 5 inhabitants: Elizabeth, Ava, Liam, Luke, and Owen. \"Owen is a laggard,\" Elizabeth mentioned. Ava stated, \"if Owen is a pioneer then (Owen is a laggard)\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2207, \"statements\": [[\"lying\", 4], [\"->\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 1], [\"... | {"split": "train", "index": 13319} |
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 5 inhabitants: Lily, Jacob, Samuel, Matthew, and Avery. Lily said, \"(Avery is a sage) if and only if (if Samuel is a fool then Avery is a fool).\" Jacob expressed that i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2208, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 3]]], [\"... | {"split": "train", "index": 13320} |
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 5 inhabitants: Jack, Harper, Matthew, Emma, and Jackson. \"(Jackson is an angel or Jack is an angel or Matthew is an angel) or (Harper is a devil and Matthew is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2209, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"and\", [\"lying\", 1], [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 0]], [\"and\", [\"lying\",... | {"split": "train", "index": 13321} |
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 5 inhabitants: Ella, Lucas, Emma, Jackson, and Matthew. Ella noted, \"(Lucas is an egoist) and Emma is an egoist and (Emma is an altruist and Jackson is an al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2210, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 1]], [\"lying\", 2], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", ... | {"split": "train", "index": 13322} |
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 5 inhabitants: Samuel, Harper, Aiden, Amelia, and Isabella. Samuel remarked, \"it is not the case that (Amelia is a devil if and only if Aiden is an angel)\". As Harp... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2211, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"lying\", 3... | {"split": "train", "index": 13323} |
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 5 inhabitants: Alexander, Evelyn, Sebastian, Jackson, and Samuel. In Alexander's words: \"it is not the case that (Samuel is a saint if and only if Jackson is a sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2212, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"not\", [\"t... | {"split": "train", "index": 13324} |
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 5 inhabitants: Samuel, Victoria, Avery, Sofia, and Matthew. According to Samuel, \"(Samuel is an angel and Sofia is a devil) if and only if (Sofia is a devil)\". In V... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2213, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"->\", [\"lying\", 4], [\"telling-t... | {"split": "train", "index": 13325} |
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 5 inhabitants: Zoey, Mia, Sebastian, Chloe, and Scarlett. Zoey asserted: \"(Chloe is a laggard if and only if Zoey is a pioneer) or (if Chloe is a pioneer the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2214, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"not\", [\"tell... | {"split": "train", "index": 13326} |
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 5 inhabitants: Jackson, Logan, Olivia, Elizabeth, and Lily. In Jackson's words: \"Elizabeth is an angel\". As Logan put it, \"(Lily is an angel and Elizabeth is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2215, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"tell... | {"split": "train", "index": 13327} |
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 5 inhabitants: Luke, Michael, Aria, Lily, and Mia. Luke expressed that Michael is a knight or (Luke is a knight if and only if Michael is a knight) or (if Michael i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2216, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"... | {"split": "train", "index": 13328} |
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 5 inhabitants: Olivia, Penelope, Noah, Harper, and Luke. Olivia stated, \"if (Penelope is a devil) then Noah is a devil\". According to Penelope, \"Harper is a devil ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2217, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 1]], [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"or\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"te... | {"split": "train", "index": 13329} |
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 5 inhabitants: Jackson, David, Luke, Elizabeth, and Mia. As Jackson put it, \"Elizabeth is an altruist\". According to David, \"(David is an altruist and Mia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2218, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 4], [\"lying\", 0]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"and\", [\"and\",... | {"split": "train", "index": 13330} |
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 5 inhabitants: Jack, Abigail, Amelia, William, and Evelyn. \"(if William is an egoist then Amelia is an egoist) and (Abigail is an altruist if and only if Wil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2219, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"telling-truth\", 1], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 3... | {"split": "train", "index": 13331} |
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 5 inhabitants: Luke, Ella, Liam, Alexander, and Jackson. Luke said that Ella is a villain or Liam is a hero. Ella said that Luke is a villain. Liam noted, \"if (Jac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2220, \"statements\": [[\"or\", [\"lying\", 1], [\"telling-truth\", 2]], [\"lying\", 0], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"lying\", 1]... | {"split": "train", "index": 13332} |
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 5 inhabitants: William, Jacob, Alexander, Lily, and Amelia. William noted, \"it is not the case that (Lily is an egoist or Alexander is an altruist)\". As Jac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2221, \"statements\": [[\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 3], [\"lying\", 0]]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"telling... | {"split": "train", "index": 13333} |
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 5 inhabitants: Ella, Daniel, Scarlett, Mia, and Abigail. \"if (it is not the case that (if Scarlett is an angel then Abigail is a devil)) then (it is not the case tha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 0, \"statements\": [[\"->\", [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 0]]]], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"->\", [\"->\", [\"->\", [\"lying\", ... | {"split": "train", "index": 13334} |
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 5 inhabitants: Charlotte, Sofia, Penelope, Elizabeth, and Sophia. Charlotte commented, \"if (it is not the case that (if Sophia is a fool then Elizabeth is a fool)) then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1, \"statements\": [[\"->\", [\"not\", [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]]]], [\"or\", [\"<=>\", [\"t... | {"split": "train", "index": 13335} |
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 5 inhabitants: Jack, Matthew, Sophia, Lucas, and Riley. \"if ((Matthew is an egoist and Riley is an altruist) and Jack is an altruist) then (if (Sophia is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2, \"statements\": [[\"->\", [\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4]], [\"telling-truth\", 0]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]]]], [\"->\"... | {"split": "train", "index": 13336} |
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 5 inhabitants: Evelyn, Ella, Lucas, Benjamin, and Victoria. \"Lucas is an egoist,\" Evelyn claimed. \"(if (if Benjamin is an egoist then Benjamin is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 3, \"statements\": [[\"lying\", 2], [\"or\", [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"lying\", 2], [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]], [\"->\", [\"telli... | {"split": "train", "index": 13337} |
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 5 inhabitants: Avery, Ethan, Jackson, Grace, and David. Avery told you that Jackson is an altruist. \"if (David is an egoist and David is an altruist) then ((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 4, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"and\", [\"->\", [\"lying\", 0], [\"lying\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]]], [\"<=>\", [\"or\"... | {"split": "train", "index": 13338} |
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 5 inhabitants: Ella, Chloe, Jack, Alexander, and Ethan. Ella was heard saying, \"Alexander is a sage or (it is not the case that (Ethan is a sage and Chloe is a sage))\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 5, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]]]], [\"and\", [\"telling-truth\", 4], [\"or\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]], [\"lying... | {"split": "train", "index": 13339} |
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 5 inhabitants: Ella, Isabella, David, Henry, and Benjamin. Ella commented, \"((David is an altruist if and only if Benjamin is an altruist) and (Henry is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 6, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"not\", [\"te... | {"split": "train", "index": 13340} |
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 5 inhabitants: Aurora, Daniel, Liam, Grace, and Jackson. Aurora noted, \"Aurora is an angel and Jackson is an angel\". According to Daniel, \"(if (Grace is a devil an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 7, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"or\", [\"->\", [\"and\", [\"lying\", 3], [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"and\", [\"or\", [\"lying\", 2],... | {"split": "train", "index": 13341} |
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 5 inhabitants: Grace, Samuel, Charlotte, Owen, and Aurora. Grace said, \"if (if Charlotte is a sage then (if Samuel is a fool then Aurora is a sage)) then (it is not the ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 8, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 2], [\"->\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]]], [\"not\", [\"->\", [\"->\", [\"lying\", 0],... | {"split": "train", "index": 13342} |
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 5 inhabitants: Sebastian, Abigail, Zoey, Lucas, and Oliver. Sebastian stated, \"it is not the case that ((Lucas is a knave if and only if Zoey is a knight) and Luca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 9, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"lying\", 3]]], [\"not\", [\"->\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]]], [\"->\", [... | {"split": "train", "index": 13343} |
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 5 inhabitants: Michael, Owen, Liam, Evelyn, and Abigail. Michael remarked, \"(Abigail is a saint if and only if (if Evelyn is a saint then Liam is a sinner)) or ((M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 10, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"telling-truth\", 0]]], [\"<=>\", [\"<=>... | {"split": "train", "index": 13344} |
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 5 inhabitants: Avery, Joseph, Olivia, James, and Michael. Avery commented, \"Olivia is an egoist\". In Joseph's words: \"if ((Avery is an egoist if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 11, \"statements\": [[\"lying\", 2], [\"->\", [\"or\", [\"<=>\", [\"lying\", 0], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\... | {"split": "train", "index": 13345} |
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 5 inhabitants: Charlotte, Samuel, Evelyn, Victoria, and Oliver. Charlotte stated, \"(if (Samuel is a fool or Victoria is a fool) then Oliver is a sage) if and only if Oli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 12, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"lying\", 1], [\"lying\", 3]], [\"telling-truth\", 4]], [\"lying\", 4]], [\"or\", [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"tellin... | {"split": "train", "index": 13346} |
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 5 inhabitants: Ethan, Lily, Jack, Grace, and Jackson. \"if ((Grace is a saint or Jack is a saint) if and only if (if Ethan is a saint then Lily is a saint)) then Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 13, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"telling-truth\", 2]], [\"and\", [\"->\", [\"<=>\", [\"lying\", 0],... | {"split": "train", "index": 13347} |
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 5 inhabitants: Emma, Penelope, Jacob, Owen, and Sebastian. Emma expressed that Owen is an egoist. Penelope noted, \"((Penelope is an altruist if and only if E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 14, \"statements\": [[\"lying\", 3], [\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"or\", [\"lying\", 0], [\"telling-truth\", 1]]], ... | {"split": "train", "index": 13348} |
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 5 inhabitants: Noah, Samuel, Emma, Lily, and Evelyn. Noah commented, \"(if (if Samuel is a knave then Emma is a knight) then (Emma is a knave)) or (if (Samuel is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 15, \"statements\": [[\"or\", [\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 2]]]], [\"or\", [\"lying\", 0], [\"... | {"split": "train", "index": 13349} |
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 5 inhabitants: Jack, Emma, Ella, Sophia, and Daniel. Jack said that it is not the case that (Emma is a sage and (if Sophia is a fool then Emma is a fool)). \"((Sophia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 16, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 1], [\"->\", [\"lying\", 3], [\"lying\", 1]]]], [\"and\", [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0]], [\"not\", [\"lying\", 0]]], [\"->\", [\"or\", [\... | {"split": "train", "index": 13350} |
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 5 inhabitants: Lily, Matthew, Jacob, Aurora, and James. According to Lily, \"if (it is not the case that (Lily is an altruist or Aurora is an altruist)) then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 17, \"statements\": [[\"->\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"telling-truth\", 2]], [\"not\", [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 1],... | {"split": "train", "index": 13351} |
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 5 inhabitants: Mia, Olivia, Henry, Lucas, and Luke. As Mia put it, \"it is not the case that (if (Olivia is a saint and Olivia is a sinner) then (Henry is a sinner ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 18, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]]], [\"->\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"-... | {"split": "train", "index": 13352} |
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 5 inhabitants: Victoria, Elizabeth, Aiden, Matthew, and Jackson. Victoria commented, \"(it is not the case that (Elizabeth is a villain if and only if Matthew is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 19, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]]], [\"or\", [\"and\", [\"not\", [\"tell... | {"split": "train", "index": 13353} |
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 5 inhabitants: Evelyn, Joseph, Lily, Chloe, and Henry. \"((Henry is a laggard) and (Chloe is a laggard and Henry is a pioneer)) and Chloe is a laggard,\" Evel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 20, \"statements\": [[\"and\", [\"and\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"lying\", 3]], [\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"... | {"split": "train", "index": 13354} |
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 5 inhabitants: Alexander, Sofia, Riley, Noah, and Samuel. Alexander commented, \"((Alexander is an altruist and Sofia is an altruist) or (Noah is an egoist)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 21, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4... | {"split": "train", "index": 13355} |
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 5 inhabitants: Benjamin, Oliver, Owen, Evelyn, and Ella. In Benjamin's words: \"Oliver is a knave and ((Benjamin is a knave) if and only if Ella is a knight)\". Oli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 22, \"statements\": [[\"and\", [\"lying\", 1], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 4]]], [\"or\", [\"lying\", 0], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"telling-tru... | {"split": "train", "index": 13356} |
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 5 inhabitants: Benjamin, Noah, James, Alexander, and Ethan. Benjamin said that (if (Noah is a devil or Ethan is an angel) then (Alexander is a devil or Noah is a devi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 23, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"lying\", 1]]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"lying\", 1]... | {"split": "train", "index": 13357} |
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 5 inhabitants: Daniel, Matthew, Sebastian, Mason, and Lucas. Daniel said, \"Lucas is a laggard.\" \"it is not the case that ((Mason is a laggard) or (Mason is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 24, \"statements\": [[\"lying\", 4], [\"not\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 3]]]], [\"lying\", 4], [\"lying\", 0], [\"or\", [\"or\", [\"or\", [\"telling-truth\", 2],... | {"split": "train", "index": 13358} |
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 5 inhabitants: Zoey, David, Jacob, Henry, and Ava. Zoey was heard saying, \"((if Jacob is a sage then David is a fool) if and only if Ava is a sage) and ((David is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 25, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"telling-truth\", 4]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"telling-truth... | {"split": "train", "index": 13359} |
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 5 inhabitants: Sebastian, Harper, Alexander, Samuel, and Lucas. Sebastian expressed that Samuel is an egoist. In Harper's words: \"it is not the case that ((i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 26, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"not\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]]], [\"or\", [\"telling-truth\", 0], [\"tell... | {"split": "train", "index": 13360} |
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 5 inhabitants: Olivia, Penelope, Daniel, Oliver, and Michael. Olivia noted, \"(Penelope is a pioneer) or ((Penelope is a laggard) if and only if Daniel is a p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 27, \"statements\": [[\"or\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"not\", [\"->\", [\"not\", [\"tell... | {"split": "train", "index": 13361} |
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 5 inhabitants: Noah, Aria, Luke, Matthew, and Liam. Noah asserted: \"Liam is a knave and (it is not the case that (Aria is a knight if and only if Noah is a knight)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 28, \"statements\": [[\"and\", [\"lying\", 4], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]]]], [\"telling-truth\", 4], [\"<=>\", [\"lying\", 4], [\"and\", [\"or\", [\"lying\", 0], [\"lying\", 1]], [\"and... | {"split": "train", "index": 13362} |
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 5 inhabitants: Elizabeth, Penelope, Aiden, Owen, and Aurora. In Elizabeth's words: \"(if (Owen is a devil if and only if Aiden is an angel) then (Aurora is an angel o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 29, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"lying\", 3], [\"lying\", 2]]]], [\"not\", [\"->\", [\"<... | {"split": "train", "index": 13363} |
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 5 inhabitants: Isabella, Sofia, Michael, William, and Lucas. In Isabella's words: \"((Michael is a laggard or William is a pioneer) if and only if (Isabella i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 30, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"->\", [\"lying\", 1], [\"->\", [\"lying\", 2], [\"lying\", 4]]]], [\"->\", [\"->\... | {"split": "train", "index": 13364} |
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 5 inhabitants: Jack, Abigail, Owen, Logan, and Elizabeth. Jack told you that it is not the case that ((Logan is a fool and Owen is a fool) and (Jack is a fool)). Abigail ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 31, \"statements\": [[\"not\", [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 2]], [\"not\", [\"telling-truth\", 0]]]], [\"lying\", 2], [\"not\", [\"and\", [\"->\", [\"lying\", 0], [\"lying\", 3]], [\"and\", [\"lying\", 0], [... | {"split": "train", "index": 13365} |
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 5 inhabitants: Lucas, Ethan, Emily, James, and Lily. As Lucas put it, \"Emily is a hero and Ethan is a villain\". Ethan said that it is not the case that (if (Lucas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 32, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"lying\", 1]], [\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]]], [\"or\", [\"->\"... | {"split": "train", "index": 13366} |
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 5 inhabitants: Amelia, Sofia, Jackson, Oliver, and Olivia. \"((Olivia is a sage and Jackson is a fool) or (if Oliver is a fool then Sofia is a sage)) or Oliver is a fool,... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 33, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"lying\", 3]], [\"lying\", 0], [\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 2],... | {"split": "train", "index": 13367} |
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 5 inhabitants: Logan, Owen, David, James, and Daniel. Logan commented, \"if ((Owen is a laggard if and only if Logan is a pioneer) or Owen is a laggard) then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 34, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"lying\", 1]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]]... | {"split": "train", "index": 13368} |
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 5 inhabitants: Michael, William, Chloe, Henry, and Liam. \"(if (if Henry is a devil then Liam is a devil) then (if Chloe is a devil then Michael is an angel)) or Henr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 35, \"statements\": [[\"or\", [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"lying\", 3]], [\"or\", [\"and\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2]], [\"<=>\"... | {"split": "train", "index": 13369} |
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 5 inhabitants: Lucas, Sofia, David, Ethan, and Owen. Lucas asserted: \"it is not the case that (if (if Ethan is a devil then Sofia is a devil) then Lucas is an angel)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 36, \"statements\": [[\"not\", [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"->\", [\"->... | {"split": "train", "index": 13370} |
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 5 inhabitants: Joseph, Logan, James, Grace, and Amelia. In a statement by Joseph: \"if ((if Amelia is an altruist then Amelia is an egoist) and (Logan is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 37, \"statements\": [[\"->\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"lying\", 1]]], [\"->\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 0]]]], [\"and\", [\"and\", [\"<=>\", [\"telli... | {"split": "train", "index": 13371} |
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 5 inhabitants: Zoey, Elizabeth, Sofia, Amelia, and Lucas. \"Amelia is a fool,\" Zoey declared. Elizabeth remarked, \"it is not the case that (Sofia is a fool if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 38, \"statements\": [[\"lying\", 3], [\"not\", [\"<=>\", [\"lying\", 2], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]]]], [\"not\", [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 0]], [\"and\", [\"lying\", 4... | {"split": "train", "index": 13372} |
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 5 inhabitants: Alexander, Sophia, Avery, Amelia, and Logan. Alexander remarked, \"Amelia is a sinner if and only if (Alexander is a saint or (Avery is a saint or So... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 39, \"statements\": [[\"<=>\", [\"lying\", 3], [\"or\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 2], [\"lying\", 1]]]], [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 3], [\"or\", [\"not\", [\"lying\",... | {"split": "train", "index": 13373} |
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 5 inhabitants: Avery, Alexander, Luke, Mia, and Aiden. Avery was heard saying, \"it is not the case that (it is not the case that (Aiden is a fool if and only if Luke is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 40, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]]]], [\"<=>\", [\"telling-truth\", 0], [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2]], [\"telling-truth\", 0]]], [\"not\", [\"<=>\", ... | {"split": "train", "index": 13374} |
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 5 inhabitants: Jacob, Liam, Riley, Noah, and Mia. Jacob said that it is not the case that ((Riley is a laggard and Noah is a laggard) and (Liam is a laggard))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 41, \"statements\": [[\"not\", [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]]]], [\"->\", [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"lying\", 0], [\"lying\", 3]]],... | {"split": "train", "index": 13375} |
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 5 inhabitants: Evelyn, Henry, Oliver, Aurora, and Grace. Evelyn remarked, \"Aurora is a sinner\". Henry remarked, \"Evelyn is a saint\". Oliver told you that Henry ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 42, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 0], [\"and\", [\"lying\", 1], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]]], [\"->\"... | {"split": "train", "index": 13376} |
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 5 inhabitants: Victoria, David, Henry, Aria, and Liam. According to Victoria, \"(if (if David is a villain then David is a hero) then (Victoria is a hero and Henry ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 43, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"lying\", 4]], [\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"tel... | {"split": "train", "index": 13377} |
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 5 inhabitants: Ava, Sofia, William, James, and Lily. Ava remarked, \"William is a sage\". Sofia said that if (Sofia is a sage or (if James is a fool then Ava is a fool)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 44, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"or\", [\"telling-truth\", 1], [\"->\", [\"lying\", 3], [\"lying\", 0]]], [\"->\", [\"not\", [\"lying\", 2]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]]]], ... | {"split": "train", "index": 13378} |
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 5 inhabitants: Jackson, Ethan, Penelope, Isabella, and Elizabeth. \"Isabella is an angel,\" Jackson mentioned. Ethan was heard saying, \"((if Penelope is a devil then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 45, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], ... | {"split": "train", "index": 13379} |
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 5 inhabitants: Owen, Oliver, Samuel, Evelyn, and Jacob. Owen asserted: \"(if (Oliver is a laggard if and only if Evelyn is a laggard) then (Jacob is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 46, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"and\", [\"lying\", 4], [\"lying\", 1]]], [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 2]... | {"split": "train", "index": 13380} |
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 5 inhabitants: Michael, Evelyn, David, Emily, and Chloe. Michael noted, \"if ((Evelyn is a laggard) and (Emily is a pioneer and Chloe is a laggard)) then (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 47, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"lying\", 1], [\"telling-truth\", 4]]]], [\"... | {"split": "train", "index": 13381} |
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 5 inhabitants: Aurora, Ella, Sofia, Owen, and Matthew. \"((if Matthew is a pioneer then Ella is a laggard) and (Matthew is a laggard or Aurora is a pioneer)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 48, \"statements\": [[\"or\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"telling-truth\", 3]]]], [\"->\", [\"and\", [\"<=>\", [\"tellin... | {"split": "train", "index": 13382} |
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 5 inhabitants: Sophia, Henry, Riley, Matthew, and Evelyn. Sophia asserted: \"(it is not the case that (Evelyn is a fool if and only if Matthew is a sage)) and ((if Riley ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 49, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]]]], [\"<=>\", [\"or\", [\... | {"split": "train", "index": 13383} |
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 5 inhabitants: Ethan, Jack, Lucas, Mason, and Aurora. Ethan asserted: \"Ethan is a pioneer\". Jack noted, \"if Aurora is a pioneer then (it is not the case th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 50, \"statements\": [[\"telling-truth\", 0], [\"->\", [\"telling-truth\", 4], [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"<=>\", [\"lyin... | {"split": "train", "index": 13384} |
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 5 inhabitants: Elizabeth, Mason, Avery, Sofia, and Emily. Elizabeth asserted: \"(if (if Emily is a fool then Mason is a sage) then (Mason is a fool)) and (Avery is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 51, \"statements\": [[\"and\", [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"telling-truth\", 2], [\"and\", [\"lying\", 1], [\"telling-truth\", 1]]]], [\"->\", [\"a... | {"split": "train", "index": 13385} |
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 5 inhabitants: Daniel, Aria, Noah, Mia, and Emma. Daniel expressed that it is not the case that ((Noah is a pioneer) or (Emma is a laggard)). Aria commented, ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 52, \"statements\": [[\"not\", [\"or\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 4]]]], [\"and\", [\"not\", [\"not\", [\"lying\", 0]]], [\"or\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 2], [\"lying... | {"split": "train", "index": 13386} |
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 5 inhabitants: Riley, William, Lily, Evelyn, and James. Riley asserted: \"if ((Lily is a hero if and only if William is a villain) or (William is a hero and Lily is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 53, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\"... | {"split": "train", "index": 13387} |
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 5 inhabitants: Emma, Henry, Zoey, James, and Aria. \"((if James is an altruist then Henry is an egoist) and (Emma is an altruist if and only if Zoey is an ego... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 54, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"telling-truth\", 0]], [\"and\", [\"lying\", 2], [\"not\", [\"and\", [\"telling-t... | {"split": "train", "index": 13388} |
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 5 inhabitants: Jack, Grace, James, Owen, and Avery. Jack remarked, \"((Jack is a sage and Owen is a sage) if and only if (Grace is a sage and Avery is a fool)) or (if (Gr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 55, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"or\",... | {"split": "train", "index": 13389} |
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 5 inhabitants: Benjamin, Joseph, Jack, Oliver, and Riley. According to Benjamin, \"(it is not the case that (Oliver is an angel)) or ((Oliver is a devil and Jack is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 56, \"statements\": [[\"or\", [\"not\", [\"not\", [\"lying\", 3]]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"lying\", 1]]], [\"telling-truth\", 3], [\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"... | {"split": "train", "index": 13390} |
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 5 inhabitants: Evelyn, Jack, Lucas, Henry, and Sebastian. \"it is not the case that ((if Lucas is an angel then Sebastian is a devil) or (Henry is an angel or Lucas i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 57, \"statements\": [[\"not\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 3], [\"lying\", 2]]]], [\"and\", [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"and\", [\"l... | {"split": "train", "index": 13391} |
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 5 inhabitants: Isabella, Liam, Joseph, Noah, and Benjamin. Isabella expressed that ((Noah is a villain if and only if Noah is a hero) if and only if (Noah is a vill... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 58, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1]]]], [\"->\", [\"or\", [\"or\", ... | {"split": "train", "index": 13392} |
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 5 inhabitants: Jacob, Sebastian, Chloe, Emma, and Grace. Jacob said that ((Chloe is a knave if and only if Emma is a knight) or (Sebastian is a knight or Jacob is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 59, \"statements\": [[\"and\", [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 4]]]], [\"not\", [\"lying\",... | {"split": "train", "index": 13393} |
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 5 inhabitants: Olivia, Sophia, Grace, Joseph, and Oliver. Olivia said, \"(Sophia is a villain or (Oliver is a villain and Sophia is a hero)) if and only if (it is n... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 60, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 1], [\"and\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]]]], [\"<=>\", [\"<=>\", [\"<=>\", [\"lying\", 0], [... | {"split": "train", "index": 13394} |
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 5 inhabitants: Elizabeth, William, Emily, Daniel, and Scarlett. Elizabeth told you that if ((William is a fool or William is a sage) if and only if Scarlett is a sage) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 61, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1]], [\"telling-truth\", 4]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\",... | {"split": "train", "index": 13395} |
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 5 inhabitants: Mia, Lily, Chloe, Abigail, and Luke. According to Mia, \"Luke is a sinner or Chloe is a sinner\". \"Chloe is a sinner,\" Lily mentioned. According to... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 62, \"statements\": [[\"or\", [\"lying\", 4], [\"lying\", 2]], [\"lying\", 2], [\"or\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"->\", [\"not\", [... | {"split": "train", "index": 13396} |
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 5 inhabitants: Jacob, Benjamin, Liam, Ella, and Henry. Jacob stated, \"Henry is a villain or ((if Liam is a hero then Henry is a villain) and (Henry is a hero and B... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 63, \"statements\": [[\"or\", [\"lying\", 4], [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]]]], [\"<=>\", [\"lying\", 3], [\"->\", [\"or\", [\"telling-trut... | {"split": "train", "index": 13397} |
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 5 inhabitants: Riley, David, Alexander, Ethan, and Jackson. \"(if (Riley is a saint and Jackson is a sinner) then (if Alexander is a sinner then David is a saint)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 64, \"statements\": [[\"and\", [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4]], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"lying\", 1], [\"tell... | {"split": "train", "index": 13398} |
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 5 inhabitants: David, Jackson, Riley, Logan, and Isabella. As David put it, \"(if Logan is a hero then (if Riley is a hero then David is a hero)) if and only if (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 65, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"->\", [\"telling-truth\", 1], [\"or\", [\"lying\", 2], [\"telling-truth\", 1]]]], [\"or\", [\"<=>\",... | {"split": "train", "index": 13399} |
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