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 altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Owen, Jack, William, Avery, James, Noah, Luke, Ella, and Michael. Owen was heard saying, \"if (it is not the case that (Noah is an egoist if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1666, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"lying\", 5], [\"lying\", 7]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 6], [\"telling-truth\", 2]]]], [\"->\", [\"->\", [\"telling-truth\", 5], [... | {"split": "train", "index": 15000} |
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, Penelope, Riley, Harper, William, Ella, Emma, Luke, and Liam. Abigail said that (it is not the case that (Luke is an angel or Liam is a devil)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1667, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 7], [\"lying\", 8]]], [\"or\", [\"or\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"lying\", 7], [\"lying\", 4]]]], [\"telling-truth\", 4], [\"<=>\", [\... | {"split": "train", "index": 15001} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Lucas, Joseph, Olivia, Henry, Ava, Penelope, Liam, Daniel, and Avery. \"(Daniel is an angel and (if Henry is an angel then Henry is a devil)) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1668, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 7], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1]], [\"->\", [\"lying\", 6], [\"lying\", 7]]]], [\"o... | {"split": "train", "index": 15002} |
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: Elizabeth, Amelia, Abigail, Grace, Ella, Noah, Joseph, Benjamin, and Charlotte. Elizabeth noted, \"Abigail is a pioneer or (Abigail is a laggar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1669, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 5]]]], [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 7]], [\"and\", [\"->\", [\"or\", [\"l... | {"split": "train", "index": 15003} |
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: Ava, Matthew, Jack, Luke, Oliver, Benjamin, Isabella, Lily, and Joseph. Ava told you that ((Oliver is a knight) if and only if Lily is a knight) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1670, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 7]], [\"->\", [\"not\", [\"telling-truth\", 7]], [\"telling-truth\", 7]]], [\"and\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\"... | {"split": "train", "index": 15004} |
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: Ava, Zoey, William, Amelia, Noah, Ella, Evelyn, Elizabeth, and Aurora. Ava commented, \"it is not the case that ((Ella is a knight) if and only if (E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1671, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"lying\", 5]], [\"or\", [\"telling-truth\", 7], [\"lying\", 8]]]], [\"or\", [\"telling-truth\", 8], [\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]], [\"or\", [... | {"split": "train", "index": 15005} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Oliver, Jacob, Ethan, Noah, Riley, Aurora, Sophia, Harper, and Emily. Oliver commented, \"Ethan is a knave\". \"((Jacob is a knave) if and only if (A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1672, \"statements\": [[\"lying\", 2], [\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 5], [\"lying\", 4]]], [\"or\", [\"and\", [\"lying\", 8], [\"lying\", 2]], [\"and\", [\"lying\", 0], [\"telling... | {"split": "train", "index": 15006} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: William, Mason, Ethan, Owen, Sebastian, Grace, Sofia, Logan, and Michael. \"Owen is a saint,\" William claimed. Mason said, \"((Mason is a saint and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1673, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"lying\", 8]]], [\"telling-truth\", 0]], [\"not\", [\"->\", [\"or\", [\"t... | {"split": "train", "index": 15007} |
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, Luke, Elizabeth, Owen, Grace, Noah, Logan, Charlotte, and Jack. Evelyn expressed that it is not the case that (Evelyn is a laggard). Lu... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1674, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"and\", [\"lying\", 7], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 7]]], [\"and\", [\"not\", [\"telli... | {"split": "train", "index": 15008} |
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: Scarlett, Evelyn, Elizabeth, Penelope, David, Liam, Owen, Sebastian, and Charlotte. According to Scarlett, \"Elizabeth is a fool\". Evelyn noted, \"((if Ch... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1675, \"statements\": [[\"lying\", 2], [\"and\", [\"and\", [\"->\", [\"lying\", 8], [\"telling-truth\", 3]], [\"telling-truth\", 2]], [\"<=>\", [\"or\", [\"lying\", 7], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 5],... | {"split": "train", "index": 15009} |
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, Henry, Luke, Penelope, Avery, Noah, Aurora, Abigail, and Logan. Harper said that ((Abigail is a fool and Henry is a sage) and (Logan is a fool)) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1676, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"lying\", 7], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 8]]], [\"telling-truth\", 8]], [\"or\", [\"lying\", 6], [\"lying\", 8]], [\"or\", [\"or\", [\"->\", [\... | {"split": "train", "index": 15010} |
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, Daniel, Olivia, Sofia, Grace, Sebastian, Elizabeth, Mia, and Jackson. According to Harper, \"if ((Olivia is a knight) or (Sofia is a knight))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1677, \"statements\": [[\"->\", [\"or\", [\"not\", [\"lying\", 2]], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"lying\", 2], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]]], [\"telling-truth\", 7], [\"not\", [\"not\", [\"telli... | {"split": "train", "index": 15011} |
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: James, Jackson, Oliver, Jack, Noah, Samuel, Aria, Lily, and Chloe. According to James, \"if (if (Aria is a knave if and only if Jack is a knight) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1678, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 3], [\"lying\", 6]]], [\"->\", [\"not\", [\"lying\", 6]], [\"->\", [\"telling-truth\", 1], [\"lying\", 8... | {"split": "train", "index": 15012} |
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: Oliver, Scarlett, Olivia, Jack, Michael, Jacob, Matthew, Logan, and Emily. According to Oliver, \"(Michael is an angel) if and only if Emily is an ange... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1679, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 8]], [\"and\", [\"<=>\", [\"and\", [\"lying\", 2], [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"->\", [\"telling-truth\... | {"split": "train", "index": 15013} |
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, Riley, Mason, Scarlett, Aurora, Elizabeth, Samuel, Benjamin, and Abigail. Ella told you that Elizabeth is a devil or ((Riley is an angel or Abiga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1680, \"statements\": [[\"or\", [\"lying\", 5], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 4]]]], [\"or\", [\"not\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 6... | {"split": "train", "index": 15014} |
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, Amelia, Evelyn, Grace, Elizabeth, Lucas, Jack, Chloe, and Joseph. In Mason's words: \"((Mason is a sage and Lucas is a fool) if and only if (if Amel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1681, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 5]], [\"->\", [\"lying\", 1], [\"lying\", 8]]], [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 6]]]], [\"->\", [\"and\", [\"<=>\"... | {"split": "train", "index": 15015} |
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, Elizabeth, Michael, Oliver, Jacob, Logan, Penelope, Lucas, and Aiden. \"(if (Michael is a fool or Logan is a sage) then (if Lucas is a fool then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1682, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 5]], [\"->\", [\"lying\", 7], [\"telling-truth\", 1]]], [\"<=>\", [\"telling-truth\", 7], [\"not\", [\"telling-truth\", 2]]]], [\"telling-t... | {"split": "train", "index": 15016} |
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: Ethan, Sophia, James, Grace, Jackson, Daniel, Mason, Samuel, and Avery. Ethan told you that (it is not the case that (Jackson is a sage and Avery is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1683, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 8]]], [\"<=>\", [\"->\", [\"lying\", 5], [\"telling-truth\", 6]], [\"->\", [\"lying\", 1], [\"telling-truth\", 7]]]], [\"lying\",... | {"split": "train", "index": 15017} |
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: David, Lucas, Isabella, Noah, Zoey, Jacob, Grace, Oliver, and Evelyn. David was heard saying, \"(Zoey is an egoist if and only if (Oliver is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1684, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"or\", [\"telling-truth\", 7], [\"lying\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 7]]]], [\"and\", [\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 0]], [\"or\",... | {"split": "train", "index": 15018} |
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: Victoria, Jackson, Jack, Harper, Isabella, Michael, Aurora, Penelope, and Olivia. According to Victoria, \"Jackson is a laggard\". Jackson comm... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1685, \"statements\": [[\"lying\", 1], [\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 6], [\"lying\", 0... | {"split": "train", "index": 15019} |
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: Abigail, Luke, Emma, Jacob, Samuel, Henry, Isabella, Oliver, and Owen. Abigail expressed that (if Henry is a pioneer then (Henry is a laggard i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1686, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 5], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"telling-truth\", 6], [\"lying\", 7]], [\"or\", [\"lying\", 1], [\"lying\", 3]]]], [\"-... | {"split": "train", "index": 15020} |
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: Grace, Emma, Samuel, Oliver, Joseph, Liam, Olivia, Abigail, and Riley. As Grace put it, \"if Riley is an egoist then (if (Liam is an egoist and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1687, \"statements\": [[\"->\", [\"lying\", 8], [\"->\", [\"and\", [\"lying\", 5], [\"lying\", 6]], [\"or\", [\"lying\", 2], [\"telling-truth\", 0]]]], [\"<=>\", [\"lying\", 3], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"t... | {"split": "train", "index": 15021} |
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: Zoey, Lily, Joseph, Aurora, Benjamin, Samuel, Sophia, Aiden, and David. Zoey told you that (Aurora is a saint or (Samuel is a sinner or Joseph is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1688, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 3], [\"or\", [\"lying\", 5], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 0]]]... | {"split": "train", "index": 15022} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Lucas, Liam, Victoria, Jackson, Benjamin, Avery, Jacob, Noah, and Owen. Lucas said that Jackson is an angel. Liam stated, \"Owen is a devil\". Victoria... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1689, \"statements\": [[\"telling-truth\", 3], [\"lying\", 8], [\"and\", [\"and\", [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"or\", [\"lying\", 6], [\"lying\", 4]]], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]... | {"split": "train", "index": 15023} |
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: Logan, Alexander, Isabella, Lucas, Sofia, Henry, Riley, Victoria, and Luke. Logan noted, \"(it is not the case that (Alexander is an angel and Lucas is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1690, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"lying\", 7], [\"lying\", 8]]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [... | {"split": "train", "index": 15024} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Alexander, Mia, Lily, Penelope, Lucas, Ella, Sofia, Zoey, and Chloe. In Alexander's words: \"Chloe is a devil\". In Mia's words: \"(it is not the case ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1691, \"statements\": [[\"lying\", 8], [\"or\", [\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"telling-truth\", 6]], [\"lying\", 7], [\"and\", [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 8]]... | {"split": "train", "index": 15025} |
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, Emma, Mason, Riley, Isabella, Luke, William, Sebastian, and Penelope. Sofia expressed that it is not the case that (it is not the case t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1692, \"statements\": [[\"not\", [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 7]]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"or\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"lying\", 7], [\"lying\"... | {"split": "train", "index": 15026} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: William, Elizabeth, Lucas, Evelyn, Aria, Isabella, Sebastian, Liam, and Sophia. \"(it is not the case that (if Aria is an angel then Evelyn is a devil)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1693, \"statements\": [[\"and\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"->\", [\"lying\", 1], [\"lying\", 2]]], [\"or\", [\"not\", [\"lying\", 8]], [\"telling-truth\", 8]], [\"and\", [\"or\", [\"not\",... | {"split": "train", "index": 15027} |
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: Aiden, Lily, Joseph, Matthew, Ethan, Riley, Logan, Chloe, and Abigail. Aiden said, \"(it is not the case that (Riley is an altruist if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1694, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 7]]], [\"or\", [\"and\", [\"lying\", 5], [\"lying\", 1]], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"or\", [\"lying\", 6], [... | {"split": "train", "index": 15028} |
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: Sofia, Lucas, Amelia, Ella, David, Lily, Avery, Aiden, and Olivia. Sofia said, \"if ((Avery is a devil) or (Lily is an angel if and only if Avery is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1695, \"statements\": [[\"->\", [\"or\", [\"not\", [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 6]]], [\"telling-truth\", 4]], [\"->\", [\"not\", [\"and\", [\"lying\", 5], [\"lying\", 6]]], [\... | {"split": "train", "index": 15029} |
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: Daniel, Abigail, Mia, Luke, Grace, Owen, Liam, Evelyn, and Noah. Daniel stated, \"(it is not the case that (Grace is a villain)) and ((Liam is a hero... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1696, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 1]], [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"->\", [\"lying\", 6], [\"telling... | {"split": "train", "index": 15030} |
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: Ethan, Ella, Lucas, Emily, Evelyn, Liam, Lily, Michael, and Aria. Ethan noted, \"it is not the case that ((Aria is a knave if and only if Aria is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1697, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 4]]]], [\"not\", [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth\", 0]], [\"->\", ... | {"split": "train", "index": 15031} |
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, Jacob, Logan, Mia, Amelia, Avery, Joseph, William, and Lily. Ella commented, \"(it is not the case that (Avery is a knave and Jacob is a knave)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1698, \"statements\": [[\"and\", [\"not\", [\"and\", [\"lying\", 5], [\"lying\", 1]]], [\"<=>\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"or\", [\"lying\", 0], ... | {"split": "train", "index": 15032} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Noah, Grace, Emily, Charlotte, Ella, William, Amelia, Joseph, and Penelope. \"((Ella is a knave) or Emily is a knight) and Charlotte is a knave\" - N... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1699, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 2]], [\"lying\", 3]], [\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 5... | {"split": "train", "index": 15033} |
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: Sofia, Logan, William, Ava, James, Liam, Isabella, Harper, and Riley. As Sofia put it, \"Riley is a fool\". Logan noted, \"Isabella is a sage if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1700, \"statements\": [[\"not\", [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 6], [\"or\", [\"->\", [\"lying\", 6], [\"telling-truth\", 2]], [\"->\", [\"lying\", 2], [\"telling-truth\", 6]]]], [\"telling-truth\", 3],... | {"split": "train", "index": 15034} |
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, Penelope, Sofia, Sebastian, Emma, Aurora, Harper, Michael, and Mia. James stated, \"if ((Mia is a laggard if and only if James is a pion... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1701, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 0]], [\"not\", [\"lying\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 8], [\"lying\", 5]]]], [\"and\", [\"lying\", 4], [\"->\", [\"<=>\",... | {"split": "train", "index": 15035} |
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, Isabella, Luke, James, Ava, Ethan, Henry, Jack, and Alexander. \"if (if (Ava is a laggard and Isabella is a laggard) then (Luke is a lag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1702, \"statements\": [[\"->\", [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 2]]], [\"lying\", 0], [\"<=>\", [\"->\", [... | {"split": "train", "index": 15036} |
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: Emily, Ella, Zoey, Mason, Logan, William, Jacob, Liam, and Sofia. Emily was heard saying, \"it is not the case that (it is not the case that (William... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1703, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"lying\", 5], [\"lying\", 8]]]], [\"not\", [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 8]], [\"or\", [\"telling-truth\", 8], [\"lying\", 0]]]], [\"not\", [\"->\", [\"or... | {"split": "train", "index": 15037} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Matthew, James, William, Charlotte, Chloe, Zoey, Luke, Sofia, and Noah. As Matthew put it, \"((if Zoey is a sinner then Charlotte is a sinner) or Zoe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1704, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"lying\", 5], [\"lying\", 3]], [\"lying\", 5]], [\"not\", [\"telling-truth\", 7]]], [\"not\", [\"and\", [\"or\", [\"lying\", 6], [\"telling-truth\", 3]], [\"->\", [\"telling... | {"split": "train", "index": 15038} |
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: Mia, Harper, Matthew, Emma, Sofia, Aurora, Joseph, Aria, and Charlotte. Mia asserted: \"if (it is not the case that (if Aria is an angel then Aurora is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1705, \"statements\": [[\"->\", [\"not\", [\"->\", [\"telling-truth\", 7], [\"lying\", 5]]], [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 6]]]], [\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\"... | {"split": "train", "index": 15039} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: William, Noah, Jackson, Elizabeth, Michael, Sophia, Ethan, David, and Alexander. William noted, \"(Ethan is a devil and Noah is a devil) and (if (Sophi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1706, \"statements\": [[\"and\", [\"and\", [\"lying\", 6], [\"lying\", 1]], [\"->\", [\"not\", [\"lying\", 5]], [\"->\", [\"lying\", 6], [\"telling-truth\", 2]]]], [\"or\", [\"<=>\", [\"->\", [\"lying\", 8], [\"telling-truth\"... | {"split": "train", "index": 15040} |
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, Emma, Ava, Elizabeth, Avery, Sebastian, Alexander, Isabella, and Amelia. \"(if Ava is an altruist then (if Emma is an altruist then Em... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1707, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"<=>\", [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]]], [\"->\", [\"->\... | {"split": "train", "index": 15041} |
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: Henry, Sebastian, Avery, Alexander, Evelyn, Aiden, James, Ethan, and Scarlett. \"((Scarlett is a sinner or Evelyn is a saint) if and only if (if Etha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1708, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"lying\", 8], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 8]]], [\"not\", [\"not\", [\"telling-truth\", 3]]]], [\"and\", [\"<=>\", [\"not\... | {"split": "train", "index": 15042} |
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, Evelyn, Lily, Avery, Noah, Emily, Luke, Ella, and Victoria. Jacob commented, \"it is not the case that ((Ella is a knight and Noah is a knight... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1709, \"statements\": [[\"not\", [\"and\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", 8]]]], [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 6]], [\"telling-truth\", ... | {"split": "train", "index": 15043} |
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: Michael, Logan, Aiden, Ethan, Emily, Ava, Charlotte, Amelia, and Olivia. In Michael's words: \"Emily is a saint or ((Olivia is a sinner) and (Amelia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1710, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"and\", [\"not\", [\"telling-truth\", 8]], [\"or\", [\"lying\", 7], [\"telling-truth\", 2]]]], [\"not\", [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 5]], [\"... | {"split": "train", "index": 15044} |
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: Zoey, Aria, Emily, Logan, Sophia, Charlotte, Victoria, Mia, and David. \"(if Sophia is a sage then Mia is a fool) if and only if (it is not the case that (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1711, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 7]], [\"not\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 2]]]], [\"->\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4... | {"split": "train", "index": 15045} |
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, Liam, Ava, Grace, William, Logan, Olivia, Owen, and Amelia. \"Olivia is an egoist,\" Ethan declared. Liam stated, \"((Olivia is an egois... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1712, \"statements\": [[\"lying\", 6], [\"<=>\", [\"and\", [\"and\", [\"lying\", 6], [\"lying\", 5]], [\"or\", [\"lying\", 6], [\"telling-truth\", 8]]], [\"or\", [\"->\", [\"lying\", 5], [\"telling-truth\", 3]], [\"<=>\", [\"l... | {"split": "train", "index": 15046} |
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: Zoey, Ella, Luke, Matthew, Joseph, Daniel, Sofia, Evelyn, and Penelope. Zoey expressed that if Sofia is an egoist then (it is not the case that... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1713, \"statements\": [[\"->\", [\"lying\", 6], [\"not\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 4]]]], [\"not\", [\"not\", [\"->\", [\"lying\", 8], [\"telling-truth\", 7]]]], [\"or\", [\"or\", [\"and\", [\"telli... | {"split": "train", "index": 15047} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Emily, Joseph, Jackson, Owen, Charlotte, Henry, Samuel, Amelia, and Mason. As Emily put it, \"(if (Owen is a saint and Mason is a saint) then (if Owe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1714, \"statements\": [[\"or\", [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"or\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth... | {"split": "train", "index": 15048} |
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, Aurora, James, Ella, Samuel, Aiden, William, Amelia, and Jacob. \"((William is a villain or Harper is a hero) and (if Jacob is a villain then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1715, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"lying\", 6], [\"telling-truth\", 0]], [\"->\", [\"lying\", 8], [\"lying\", 4]]], [\"<=>\", [\"lying\", 1], [\"and\", [\"lying\", 7], [\"telling-truth\", 3]]]], [\"and\", [... | {"split": "train", "index": 15049} |
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: Sebastian, Aurora, Ava, Sofia, Logan, Ella, Liam, James, and Aiden. Sebastian was heard saying, \"if (it is not the case that (Ava is a knave)) then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1716, \"statements\": [[\"->\", [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"telling-truth\", 8]], [\"or\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 0]], [\... | {"split": "train", "index": 15050} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Penelope, Jacob, Harper, Sofia, Sebastian, Evelyn, Avery, Luke, and Alexander. \"((Luke is a knight if and only if Sebastian is a knave) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1717, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"or\", [\"or\", [\"lying\", 3], [\"lying\", 7]], [\"->\", [\"lying\", 6], [\"te... | {"split": "train", "index": 15051} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Daniel, Ethan, Jacob, Mia, Sofia, Abigail, Jackson, Benjamin, and Olivia. Daniel told you that (if (Olivia is a devil and Abigail is a devil) then (Sof... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1718, \"statements\": [[\"and\", [\"->\", [\"and\", [\"lying\", 8], [\"lying\", 5]], [\"<=>\", [\"lying\", 4], [\"lying\", 6]]], [\"or\", [\"lying\", 1], [\"or\", [\"telling-truth\", 2], [\"lying\", 7]]]], [\"<=>\", [\"or\", [... | {"split": "train", "index": 15052} |
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: Aria, Emily, Aurora, Jacob, Harper, Isabella, Owen, Logan, and Oliver. Aria expressed that ((Harper is a sage if and only if Logan is a sage) and (Owen is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1719, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"or\", [\"lying\", 6], [\"telling-truth\", 5]]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"->\", [\"... | {"split": "train", "index": 15053} |
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, Emma, Victoria, Elizabeth, Jack, Alexander, Ella, Liam, and Mia. Sebastian noted, \"Liam is a fool\". Emma said that it is not the case that (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1720, \"statements\": [[\"lying\", 7], [\"not\", [\"->\", [\"or\", [\"lying\", 5], [\"telling-truth\", 4]], [\"or\", [\"lying\", 5], [\"lying\", 3]]]], [\"->\", [\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"->\... | {"split": "train", "index": 15054} |
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: Liam, Amelia, Evelyn, Chloe, Ethan, Zoey, Lily, Oliver, and Abigail. \"if (it is not the case that (Liam is a sage if and only if Zoey is a sage)) then Zoe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1721, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 5]]], [\"telling-truth\", 5]], [\"->\", [\"not\", [\"or\", [\"lying\", 7], [\"lying\", 5]]], [\"<=>\", [\"or\", [\"lying\", 7], [\... | {"split": "train", "index": 15055} |
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: Penelope, Noah, Jack, Ava, Ella, Jacob, Mia, David, and Michael. Penelope remarked, \"Ella is a devil\". Noah was heard saying, \"((David is a devil if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1722, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"and\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 1], [\"lying\", 8]]], [\"lying\", 2]], [\"->\", [\"and\", [\"->\", ... | {"split": "train", "index": 15056} |
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, Lily, Grace, Penelope, Emily, Jackson, Matthew, and Owen. Lucas commented, \"((Owen is a fool if and only if Penelope is a sage) and (if Jame... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1723, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 4]], [\"->\", [\"lying\", 1], [\"lying\", 6]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 0], [\... | {"split": "train", "index": 15057} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Mia, David, Scarlett, Benjamin, Emily, Michael, Jackson, Victoria, and James. Mia said that Benjamin is a hero. \"((Victoria is a hero or Scarlett is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1724, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"or\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"or\", [\"lying\", 2], [\"->\", [\"telling-truth\... | {"split": "train", "index": 15058} |
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: Aurora, Aria, Victoria, Emily, Amelia, Charlotte, Oliver, Henry, and Mia. Aurora asserted: \"((if Mia is a saint then Henry is a saint) or (Mia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1725, \"statements\": [[\"and\", [\"or\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"and\", [\"lying\", 8], [\"lying\", 7]]], [\"<=>\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 7], [\"telling-trut... | {"split": "train", "index": 15059} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Noah, Amelia, Ava, Isabella, Harper, Penelope, Victoria, Owen, and David. \"it is not the case that ((David is a devil if and only if Harper is a devil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1726, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"lying\", 8], [\"lying\", 4]], [\"and\", [\"lying\", 7], [\"lying\", 5]]]], [\"or\", [\"->\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 2]], [\"->\", [\"telling-... | {"split": "train", "index": 15060} |
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, Sofia, Jackson, Jack, Amelia, Matthew, Lily, Logan, and Ava. Joseph stated, \"((Matthew is an angel or Joseph is an angel) and (Ava is a devil ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1727, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 0]], [\"and\", [\"lying\", 8], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 0]]]], [\... | {"split": "train", "index": 15061} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Michael, Daniel, Jack, Emily, Isabella, Harper, Lucas, Jackson, and Joseph. Michael commented, \"(if (Harper is a villain) then (Lucas is a hero or J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1728, \"statements\": [[\"and\", [\"->\", [\"not\", [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 6], [\"lying\", 2]]], [\"telling-truth\", 0]], [\"lying\", 0], [\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 8], [\"... | {"split": "train", "index": 15062} |
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: Aiden, Charlotte, Jacob, Isabella, David, Sophia, Lucas, Henry, and Oliver. \"if (if (Henry is a devil) then (Isabella is a devil and Lucas is a devil)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1729, \"statements\": [[\"->\", [\"->\", [\"not\", [\"telling-truth\", 7]], [\"and\", [\"lying\", 3], [\"lying\", 6]]], [\"->\", [\"not\", [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 1]]]], [\"lying\... | {"split": "train", "index": 15063} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Riley, Jacob, Lucas, Scarlett, Oliver, Jack, Zoey, Jackson, and Charlotte. Riley said that Jacob is a knave. Jacob stated, \"Jackson is a knave\". In... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1730, \"statements\": [[\"lying\", 1], [\"lying\", 7], [\"or\", [\"->\", [\"<=>\", [\"lying\", 8], [\"lying\", 4]], [\"or\", [\"lying\", 8], [\"telling-truth\", 5]]], [\"not\", [\"and\", [\"lying\", 8], [\"lying\", 3]]]], [\"o... | {"split": "train", "index": 15064} |
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, Aurora, Samuel, Benjamin, Oliver, Liam, Jackson, Noah, and Michael. Matthew told you that if Aurora is a villain then (if Oliver is a hero t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1731, \"statements\": [[\"->\", [\"lying\", 1], [\"->\", [\"telling-truth\", 4], [\"and\", [\"lying\", 8], [\"lying\", 5]]]], [\"or\", [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 7]]], [\"<=>\", [\"lying\",... | {"split": "train", "index": 15065} |
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: Aria, Chloe, Emma, Victoria, Isabella, Amelia, Riley, James, and Luke. In a statement by Aria: \"Riley is a devil and (if (if Riley is a devil then Isa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1732, \"statements\": [[\"and\", [\"lying\", 6], [\"->\", [\"->\", [\"lying\", 6], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 5]]]], [\"and\", [\"lying\", 2], [\"not\", [\"not\", [\"lying\", ... | {"split": "train", "index": 15066} |
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: Ava, Aurora, Avery, Grace, Owen, Daniel, Emily, Sofia, and James. \"(if (Owen is a sinner) then (Owen is a saint and Daniel is a sinner)) or ((Daniel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1733, \"statements\": [[\"or\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\", 5]]], [\"or\", [\"not\", [\"telling-truth\", 5]], [\"lying\", 8]]], [\"and\", [\"<=>\", [\"telling-truth... | {"split": "train", "index": 15067} |
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: Evelyn, Joseph, Abigail, Matthew, James, Aiden, Elizabeth, Grace, and Lucas. Evelyn asserted: \"if ((Lucas is a knight) and (Lucas is a knave and Gra... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1734, \"statements\": [[\"->\", [\"and\", [\"not\", [\"lying\", 8]], [\"and\", [\"lying\", 8], [\"lying\", 7]]], [\"telling-truth\", 4]], [\"or\", [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"lying\", 3]], [\"and\", [\"and... | {"split": "train", "index": 15068} |
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: Abigail, Ella, Sophia, Jack, Luke, Michael, Emily, Lucas, and Amelia. \"((Luke is a villain) and (if Jack is a hero then Lucas is a hero)) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1735, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 7]]], [\"or\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 3]], [\"not\", [\"telling-... | {"split": "train", "index": 15069} |
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, Amelia, Luke, Isabella, Riley, Mia, Ava, Jack, and Oliver. As Lily put it, \"((Mia is a saint if and only if Mia is a sinner) if and only if (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1736, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 5]], [\"->\", [\"lying\", 8], [\"lying\", 7]]], [\"not\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 3]]]], [\"and\", [\"or\", [\"<=>\... | {"split": "train", "index": 15070} |
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: James, Olivia, David, Samuel, Sebastian, Luke, Victoria, Alexander, and Zoey. James asserted: \"Samuel is a knave\". Olivia noted, \"(Zoey is a knave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1737, \"statements\": [[\"lying\", 3], [\"and\", [\"and\", [\"lying\", 8], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"->\", [\"lying\", 7], [\"or\", [\"lying\", 3], [\"lying\", 2]]]], [\"or\", [\"or\", [\"<... | {"split": "train", "index": 15071} |
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, Jacob, David, Zoey, Emma, Logan, Scarlett, Oliver, and Harper. Sofia was heard saying, \"((Logan is a knave) and (if Oliver is a knight then Z... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1738, \"statements\": [[\"and\", [\"and\", [\"not\", [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 3]]], [\"->\", [\"lying\", 5], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 6]]]], [\"a... | {"split": "train", "index": 15072} |
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: Luke, Sophia, Noah, Aria, Victoria, Riley, Charlotte, Harper, and James. \"it is not the case that (if (Charlotte is a saint) then Sophia is a saint)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1739, \"statements\": [[\"not\", [\"->\", [\"not\", [\"lying\", 6]], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-trut... | {"split": "train", "index": 15073} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Ella, Samuel, Jackson, Avery, Aurora, Aiden, Daniel, Owen, and Ava. \"if (it is not the case that (Avery is an egoist if and only if Ava is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1740, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 8]]], [\"<=>\", [\"->\", [\"telling-truth\", 5], [\"lying\", 8]], [\"->\", [\"lying\", 4], [\"telling-truth\", 7]]]], [\"and\", [\"lying\", 5], [\... | {"split": "train", "index": 15074} |
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: Owen, Amelia, Chloe, Oliver, Ethan, Emma, Olivia, Logan, and Liam. Owen told you that ((Emma is an egoist) and (Owen is an altruist or Ethan is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1741, \"statements\": [[\"and\", [\"and\", [\"not\", [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 1]]]], [\"telling-truth\", 0],... | {"split": "train", "index": 15075} |
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: Matthew, Joseph, Mia, Jackson, Noah, Oliver, Aurora, Evelyn, and Jacob. Matthew said that Noah is a laggard. Joseph stated, \"(if Aurora is a p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1742, \"statements\": [[\"lying\", 4], [\"<=>\", [\"->\", [\"telling-truth\", 6], [\"not\", [\"lying\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 5], [\"lying\", 7]], [\"not\", [\"lying\", 6]]]], [\"->\", [\"->\", [\"->\", [... | {"split": "train", "index": 15076} |
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: Ava, Elizabeth, Evelyn, Aurora, Jack, Harper, James, Daniel, and Charlotte. In a statement by Ava: \"Elizabeth is a sinner\". In Elizabeth's words: \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1743, \"statements\": [[\"lying\", 1], [\"not\", [\"and\", [\"and\", [\"lying\", 8], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]]], [\"->\", [\"lying\", 3], [\"or\", [\"and\", [\"telling-truth\", ... | {"split": "train", "index": 15077} |
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: Mason, Liam, Victoria, James, Emma, Penelope, Ava, Samuel, and Lucas. Mason noted, \"Ava is a knave\". Liam said, \"if (it is not the case that (Pene... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1744, \"statements\": [[\"lying\", 6], [\"->\", [\"not\", [\"<=>\", [\"lying\", 5], [\"lying\", 0]]], [\"not\", [\"->\", [\"telling-truth\", 5], [\"lying\", 7]]]], [\"and\", [\"or\", [\"not\", [\"telling-truth\", 0]], [\"->\",... | {"split": "train", "index": 15078} |
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: Olivia, Sebastian, Chloe, Aiden, Daniel, Matthew, Abigail, Isabella, and Liam. According to Olivia, \"(if Olivia is a hero then (Sebastian is a villa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1745, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 6]]], [\"and\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 2], [\"te... | {"split": "train", "index": 15079} |
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, Daniel, Michael, Scarlett, Liam, Joseph, Lucas, Benjamin, and Alexander. In a statement by William: \"((Lucas is an altruist and Scarl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1746, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 6], [\"lying\", 3]], [\"lying\", 3]], [\"<=>\", [\"or\", [\"lying\", 8], [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]]], [\"or\", [\... | {"split": "train", "index": 15080} |
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, Mia, Aria, Jacob, Aurora, Henry, Emma, Ava, and Sofia. In Emily's words: \"((Mia is an angel) if and only if (if Emily is an angel then Henry is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1747, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"lying\", 1]], [\"->\", [\"telling-truth\", 0], [\"lying\", 5]]], [\"lying\", 8]], [\"telling-truth\", 0], [\"telling-truth\", 7], [\"->\", [\"telling-truth\", 7], [\"or\"... | {"split": "train", "index": 15081} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Benjamin, Jack, Isabella, Chloe, Oliver, Scarlett, William, Harper, and Evelyn. According to Benjamin, \"it is not the case that ((Evelyn is a knave ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1748, \"statements\": [[\"not\", [\"or\", [\"or\", [\"lying\", 8], [\"lying\", 1]], [\"not\", [\"telling-truth\", 1]]]], [\"->\", [\"<=>\", [\"and\", [\"lying\", 0], [\"telling-truth\", 2]], [\"and\", [\"lying\", 6], [\"lying\... | {"split": "train", "index": 15082} |
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, Emma, Benjamin, Jackson, Henry, Ella, Zoey, Liam, and Ethan. Mason said that Henry is a fool. According to Emma, \"if ((Benjamin is a sage and Jacks... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1749, \"statements\": [[\"lying\", 4], [\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3]], [\"not\", [\"telling-truth\", 8]]], [\"or\", [\"lying\", 5], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 3]... | {"split": "train", "index": 15083} |
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: Chloe, Mason, Grace, Liam, Penelope, Oliver, David, Ava, and Lucas. Chloe commented, \"it is not the case that (if (Chloe is a hero if and only if Ol... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1750, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 5]], [\"and\", [\"telling-truth\", 7], [\"lying\", 5]]]], [\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 8]], [\"or\", [... | {"split": "train", "index": 15084} |
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: Ava, Charlotte, Abigail, Jackson, Scarlett, Aiden, Mia, Ethan, and Amelia. Ava said, \"(it is not the case that (Charlotte is a devil and Ethan is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1751, \"statements\": [[\"and\", [\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 7]]], [\"not\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 7]]]], [\"->\", [\"and\", [\"and\", [\"telling-truth\", 7], [\"telli... | {"split": "train", "index": 15085} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Grace, Michael, Logan, Oliver, Scarlett, Sophia, Matthew, Owen, and Elizabeth. In Grace's words: \"Matthew is a pioneer\". Michael expressed th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1752, \"statements\": [[\"telling-truth\", 6], [\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 7]]], [\"lying\", 3]], [\"not\", [\"and\", [\"<=>\", [\"lying\", 6], [\"lying\", 7]], [\"or\", [\"telling-truth\"... | {"split": "train", "index": 15086} |
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: Jacob, Abigail, Benjamin, Isabella, Charlotte, Noah, Sebastian, Olivia, and Logan. Jacob said, \"(if (Sebastian is a sage and Olivia is a fool) then Noah i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1753, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 6], [\"lying\", 7]], [\"telling-truth\", 5]], [\"lying\", 7]], [\"and\", [\"and\", [\"or\", [\"lying\", 8], [\"lying\", 4]], [\"not\", [\"telling-truth\",... | {"split": "train", "index": 15087} |
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: James, Mason, Noah, Grace, William, Michael, Henry, Alexander, and Jack. James said that (if (Grace is a sage) then (Mason is a sage)) if and only if ((Gra... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1754, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"lying\", 3]], [\"not\", [\"lying\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 8]]]], [\"->\",... | {"split": "train", "index": 15088} |
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: Ava, Sebastian, Isabella, Samuel, Grace, Aurora, Jackson, Elizabeth, and Victoria. \"(if (if Sebastian is a knight then Victoria is a knight) then (S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1755, \"statements\": [[\"and\", [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"->\", [\"lying\", 8], [\"telling-truth\", 2]], [\"telling-truth\", 2]]], [\"not\", [\... | {"split": "train", "index": 15089} |
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: Mason, Sofia, Lily, Avery, Owen, Jacob, Alexander, Sebastian, and Matthew. Mason stated, \"Matthew is a sinner\". \"it is not the case that ((Owen is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1756, \"statements\": [[\"lying\", 8], [\"not\", [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4]]]], [\"<=>\", [\"and\", [\"and\", [\"lying\", 4], [\"lying\", 7]], [\"->\", [\"lyin... | {"split": "train", "index": 15090} |
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: Aiden, Abigail, Scarlett, Joseph, Luke, Liam, Lily, Emma, and Aria. Aiden told you that Emma is an angel. \"((Aria is a devil if and only if Aiden is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1757, \"statements\": [[\"not\", [\"lying\", 7]], [\"<=>\", [\"or\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 7], [\"lying\", 2]]], [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", ... | {"split": "train", "index": 15091} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Lucas, Chloe, Logan, Olivia, David, Ava, Sofia, Sophia, and Samuel. Lucas was heard saying, \"it is not the case that (it is not the case that ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1758, \"statements\": [[\"not\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 7]]]], [\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 1], [\"lying\", 7]]], [\"not\", [\"ly... | {"split": "train", "index": 15092} |
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: Benjamin, Noah, Sophia, Sofia, Ava, William, David, Owen, and Isabella. As Benjamin put it, \"Noah is a sage if and only if Isabella is a fool\". Noah note... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1759, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"lying\", 8]], [\"not\", [\"telling-truth\", 6]], [\"or\", [\"->\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 7]]], [\"<=>\", [\"<=>\", ... | {"split": "train", "index": 15093} |
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, Luke, Aurora, Sofia, Zoey, Mason, Oliver, Riley, and Charlotte. In a statement by Aria: \"if Charlotte is a saint then ((Aurora is a saint if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1760, \"statements\": [[\"->\", [\"telling-truth\", 8], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 7]], [\"telling-truth\", 8]]], [\"lying\", 2], [\"or\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying... | {"split": "train", "index": 15094} |
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: Aria, William, Victoria, Aiden, Emma, Mason, Isabella, Ava, and Matthew. In Aria's words: \"((if Aiden is a villain then Victoria is a hero) or (Will... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1761, \"statements\": [[\"or\", [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 7]], [\"or\", [\"lying\", 8],... | {"split": "train", "index": 15095} |
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: Sebastian, Evelyn, Luke, Lily, Michael, Sofia, Benjamin, Penelope, and Olivia. \"((Sebastian is a knave) or (Benjamin is a knave if and only if Olivi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1762, \"statements\": [[\"or\", [\"or\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 8]]], [\"or\", [\"lying\", 2], [\"->\", [\"lying\", 2], [\"telling-truth\", 6]]]], [\"->\", [\"not\", [\... | {"split": "train", "index": 15096} |
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: Isabella, Emily, Ava, Mason, Charlotte, Riley, James, Joseph, and Amelia. \"if (Ava is a devil or Emily is a devil) then ((Ava is an angel or Charlotte... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1763, \"statements\": [[\"->\", [\"or\", [\"lying\", 2], [\"lying\", 1]], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 5]]]], [\"lying\", 0], [\"<=>\... | {"split": "train", "index": 15097} |
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: Zoey, Alexander, Isabella, Harper, Liam, Ethan, Luke, William, and Victoria. As Zoey put it, \"(if (if Ethan is a fool then Liam is a sage) then (Isabella ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1764, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"lying\", 5], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 6]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 5]], [\"or\", [\"te... | {"split": "train", "index": 15098} |
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, Amelia, David, Victoria, Noah, Alexander, Joseph, Benjamin, and Sebastian. \"((David is an altruist) or Sebastian is an egoist) and (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1765, \"statements\": [[\"and\", [\"or\", [\"not\", [\"lying\", 2]], [\"lying\", 8]], [\"not\", [\"or\", [\"lying\", 6], [\"telling-truth\", 2]]]], [\"<=>\", [\"not\", [\"and\", [\"lying\", 6], [\"lying\", 7]]], [\"telling-tru... | {"split": "train", "index": 15099} |
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