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: Luke, Ella, Jackson, Riley, Aria, Sebastian, Victoria, Aurora, and Owen. Luke said that Sebastian is an altruist. \"(if Aurora is an altruist t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1332, \"statements\": [[\"telling-truth\", 5], [\"or\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 2]]], [\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3]],... | {"split": "train", "index": 8000} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Logan, Jacob, Lily, Liam, Daniel, Olivia, Joseph, Samuel, and Ethan. Logan asserted: \"(Lily is a sage or Joseph is a sage) or (Samuel is a fool)\". Jacob ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1333, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 7]]], [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 4]], [\"not\", [\"lying\", 7]]], [\"and\", [\"or\", ... | {"split": "train", "index": 8001} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Henry, Victoria, James, Joseph, Harper, Evelyn, Avery, Noah, and William. In Henry's words: \"(if Victoria is a villain then Noah is a hero) or (Noah... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1334, \"statements\": [[\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 7]], [\"and\", [\"lying\", 7], [\"telling-truth\", 7]]], [\"lying\", 4], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 7]], [\"not\", [\"te... | {"split": "train", "index": 8002} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Amelia, Olivia, Mason, Noah, Riley, Elizabeth, Sofia, Matthew, and Victoria. Amelia commented, \"Elizabeth is a sage\". As Olivia put it, \"Riley is a fool... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1335, \"statements\": [[\"telling-truth\", 5], [\"<=>\", [\"lying\", 4], [\"or\", [\"lying\", 7], [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1]], [\"not\", [\"lying\", 0]]], [\"and\", [\"no... | {"split": "train", "index": 8003} |
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, Ava, Amelia, Emma, Daniel, Sophia, Owen, Sofia, and Elizabeth. William was heard saying, \"(Sophia is a sinner or Daniel is a saint) if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1336, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 5], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 8]], [\"->\", [\"lying\", 2]... | {"split": "train", "index": 8004} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Abigail, Liam, Noah, Elizabeth, Owen, Sebastian, Emma, Oliver, and Sophia. Abigail asserted: \"(Oliver is a sage) if and only if (Emma is a fool and Sebast... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1337, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 7]], [\"and\", [\"lying\", 6], [\"telling-truth\", 5]]], [\"and\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 6], [\"lying\", ... | {"split": "train", "index": 8005} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Aria, Matthew, Logan, William, Aiden, Ava, Victoria, Mason, and Mia. Aria said, \"Ava is a knight.\" Matthew said that it is not the case that (Aiden... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1338, \"statements\": [[\"telling-truth\", 5], [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 5]]], [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 5]], [\"and\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"not\", [\"lying\",... | {"split": "train", "index": 8006} |
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, Amelia, Mia, Harper, Emily, Aria, Aiden, Sebastian, and Olivia. Matthew said, \"it is not the case that (if Harper is a laggard then A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1339, \"statements\": [[\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 4]], [\"and\", [\"lying\", 8], [\"telling-truth\", 7]]], [\"not\", [\"<=>\", [\"lying\... | {"split": "train", "index": 8007} |
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, James, Emily, Jacob, Aria, Benjamin, Luke, Scarlett, and Oliver. \"(if Abigail is a hero then James is a villain) and (Luke is a hero),\" Ab... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1340, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"not\", [\"lying\", 6]]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"lying\", 6]], [... | {"split": "train", "index": 8008} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Sebastian, Abigail, Jackson, Liam, Aiden, Oliver, Sofia, Emma, and Owen. \"it is not the case that (if Liam is a hero then Oliver is a villain),\" Se... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1341, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 5]]], [\"<=>\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 8]]], [\"not\", [\"lying\", 1]], [\"lying\", 0], [\"->\", [\"o... | {"split": "train", "index": 8009} |
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: Scarlett, Jack, Joseph, Grace, Riley, Olivia, Charlotte, Ella, and Sophia. Scarlett remarked, \"(Sophia is a devil and Grace is a devil) and (Joseph is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1342, \"statements\": [[\"and\", [\"and\", [\"lying\", 8], [\"lying\", 3]], [\"or\", [\"lying\", 2], [\"lying\", 4]]], [\"->\", [\"not\", [\"lying\", 3]], [\"not\", [\"lying\", 5]]], [\"and\", [\"->\", [\"telling-truth\", 2], ... | {"split": "train", "index": 8010} |
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: Grace, Charlotte, Sebastian, Sofia, Michael, Emma, Avery, David, and Lucas. Grace stated, \"(Michael is a hero or Grace is a hero) if and only if (Da... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1343, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"not\", [\"lying\", 7]]], [\"->\", [\"not\", [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"telli... | {"split": "train", "index": 8011} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Logan, Ethan, Mia, Samuel, Elizabeth, Ava, Ella, Liam, and Aurora. In Logan's words: \"it is not the case that (Aurora is a hero if and only if Liam ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1344, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 7]]], [\"->\", [\"lying\", 2], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"telling-truth\", 2], [\"->\", [\"lying\", 0], [\"lying\", 7]... | {"split": "train", "index": 8012} |
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: Sophia, Chloe, Alexander, Logan, Michael, Harper, Samuel, Charlotte, and Grace. Sophia stated, \"Logan is a saint\". According to Chloe, \"Charlotte ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1345, \"statements\": [[\"not\", [\"lying\", 3]], [\"telling-truth\", 7], [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 6]], [\"and\", [\"lying\", 0], [\"lying\", 6]]], [\"or\", [\"or\", [\"telling-truth\", 4],... | {"split": "train", "index": 8013} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Olivia, Evelyn, Lily, Mason, Owen, Aiden, Aria, Lucas, and Elizabeth. Olivia said that Evelyn is a fool. \"if (if Elizabeth is a sage then Olivia is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1346, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"->\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 0]], [\"telling-truth\", 4]], [\"or\", [\"->\", [\"lying\", 0], [\"telling-truth\", 3]], [\"or\", [\"lying... | {"split": "train", "index": 8014} |
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: Emily, Logan, Emma, Harper, David, Sebastian, Joseph, Jacob, and Liam. In Emily's words: \"(Joseph is a knight if and only if Sebastian is a knight) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1347, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"<=>\", [\"and\", [\"lying\", 8], [\"telling-truth\", 6]], [\"not\", [\"lying\", ... | {"split": "train", "index": 8015} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Samuel, Evelyn, Daniel, Lily, Olivia, Victoria, Jacob, Noah, and Luke. As Samuel put it, \"if (Daniel is a knight and Jacob is a knight) then (Noah i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1348, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 7], [\"lying\", 2]]], [\"lying\", 4], [\"->\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"->\"... | {"split": "train", "index": 8016} |
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: Jack, Emily, Jackson, Joseph, Mia, Penelope, Sophia, Liam, and Michael. \"Emily is an altruist,\" Jack claimed. In a statement by Emily: \"(if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1349, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"->\", [\"telling-truth\", 8], [\"lying\", 4]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"lying\", 7], [\"lying\", 0]], [\"<=>\"... | {"split": "train", "index": 8017} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Isabella, Avery, Samuel, Alexander, Owen, James, Aria, Ethan, and Michael. Isabella told you that Owen is an altruist. \"(James is an altruist ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1350, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 7]]], [\"or\", [\"and\", [\"lying\", 6], [\"telling-truth\", 3]], [\"or\... | {"split": "train", "index": 8018} |
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: James, Riley, Sebastian, Joseph, Victoria, Aurora, Avery, Sophia, and Harper. James told you that (Aurora is a villain or Joseph is a villain) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1351, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 5], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 5]]], [\"telling-truth\", 0], [\"telling-truth\", 5], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telli... | {"split": "train", "index": 8019} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Matthew, Michael, Emily, Luke, David, Harper, Benjamin, Oliver, and Elizabeth. \"(if Benjamin is a hero then Luke is a hero) if and only if (David is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1352, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 5]], [\"not\"... | {"split": "train", "index": 8020} |
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, Benjamin, Jacob, Mia, Luke, Olivia, Liam, Jack, and Avery. \"it is not the case that (if Jacob is a knave then Benjamin is a knight),\" Ava decl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1353, \"statements\": [[\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"->\", [\"lying\", 0], [\"not\", [\"lying\", 5]]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 5], [\"telling-truth\"... | {"split": "train", "index": 8021} |
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, Michael, Samuel, Avery, Riley, Mia, Amelia, Joseph, and Owen. In Zoey's words: \"Riley is a fool\". \"Owen is a fool\" - Michael. Samuel said, \"if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1354, \"statements\": [[\"lying\", 4], [\"lying\", 8], [\"->\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 8]]], [\"lying\", 7], [\"and\", [\"or\", [\"lying\", 3], ... | {"split": "train", "index": 8022} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Avery, Amelia, Zoey, Charlotte, Owen, Daniel, Isabella, Grace, and Henry. Avery stated, \"Charlotte is a knight and (Isabella is a knave and Charlott... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1355, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"and\", [\"lying\", 6], [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"not\", [\"lying\"... | {"split": "train", "index": 8023} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Ethan, Scarlett, Ella, Aurora, Harper, Jacob, Isabella, Lucas, and Joseph. Ethan was heard saying, \"Aurora is a sinner\". Scarlett remarked, \"Jacob... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1356, \"statements\": [[\"lying\", 3], [\"telling-truth\", 5], [\"<=>\", [\"or\", [\"lying\", 0], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 0]]], [\"no... | {"split": "train", "index": 8024} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Mia, Sebastian, Ava, Emily, Zoey, Olivia, Liam, Logan, and James. \"it is not the case that (Olivia is a knave if and only if Sebastian is a knave),\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1357, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 5], [\"lying\", 1]]], [\"lying\", 5], [\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 2], [\"lying\", 6]]], [\"<=>\", [\"or\", [\"telling-truth\"... | {"split": "train", "index": 8025} |
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, Lily, Chloe, Grace, Zoey, David, Matthew, Charlotte, and Samuel. In Logan's words: \"(Grace is a devil and Chloe is an angel) or (Grace is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1358, \"statements\": [[\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]]], [\"telling-truth\", 5], [\"and\", [\"lying\", 0], [\"telling-truth\", 3]], [\"or\", [\"or\", [\"lying\", 0], [\"tel... | {"split": "train", "index": 8026} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Jack, Ella, Elizabeth, Emma, Henry, Benjamin, Abigail, Olivia, and Chloe. According to Jack, \"(Elizabeth is an angel) if and only if (Emma is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1359, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 2]], [\"not\", [\"lying\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 5]], [\"lying\", 2]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling... | {"split": "train", "index": 8027} |
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, Ethan, Alexander, Daniel, Aria, Lily, Riley, Penelope, and Michael. In Abigail's words: \"if (Daniel is a hero and Aria is a hero) then (Lil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1360, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 8]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 6]], [\"or\", [\"lyi... | {"split": "train", "index": 8028} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Chloe, Abigail, Aria, Aiden, Scarlett, Olivia, Luke, Zoey, and Samuel. \"Scarlett is a fool,\" Chloe mentioned. Abigail said that Zoey is a fool. Aria expr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1361, \"statements\": [[\"lying\", 4], [\"not\", [\"telling-truth\", 7]], [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"telling-truth\", 0]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lyi... | {"split": "train", "index": 8029} |
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, Liam, Oliver, Aiden, Sebastian, Lucas, Victoria, David, and Mason. Aria said, \"it is not the case that (Liam is a sage or Oliver is a fool).\" \"if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1362, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"->\", [\"lying\", 3], [\"->\", [\"lying\", 0], [\"lying\", 7]]], [\"telling-truth\", 5], [\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 7]... | {"split": "train", "index": 8030} |
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: Elizabeth, Lucas, Penelope, Emily, Victoria, Amelia, David, Zoey, and Joseph. \"(Zoey is a knave or David is a knight) if and only if Joseph is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1363, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 7], [\"telling-truth\", 6]], [\"telling-truth\", 8]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 8]], [\"telling-truth\", 5]], [\"telling-truth\", 3], [\"or\", ... | {"split": "train", "index": 8031} |
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, Grace, Emma, Victoria, Samuel, Charlotte, Matthew, Chloe, and Mason. In a statement by Abigail: \"(Emma is a pioneer) if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1364, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 4], [\"telling-truth\", 5]]], [\"telling-truth\", 8], [\"or\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1]... | {"split": "train", "index": 8032} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Grace, Joseph, Aiden, Noah, Mason, Amelia, Sebastian, Zoey, and Evelyn. \"(Sebastian is a fool or Evelyn is a fool) or (Joseph is a fool),\" Grace mentione... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1365, \"statements\": [[\"or\", [\"or\", [\"lying\", 6], [\"lying\", 8]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 5], [\"lying\", 0]]], [\"<=>\", [\"telling-truth\"... | {"split": "train", "index": 8033} |
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: Ella, Jacob, Daniel, Liam, Abigail, Chloe, James, Noah, and Jack. \"if (Ella is a sinner) then (Daniel is a saint or Abigail is a saint)\" - Ella. Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1366, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"and\", [\"lying\", 8], [\"lyin... | {"split": "train", "index": 8034} |
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, Michael, Noah, James, Sophia, Sofia, Jackson, Henry, and Ella. Logan asserted: \"(if Ella is an angel then Michael is a devil) if and only if (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1367, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 8], [\"lying\", 1]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 8]], [\"and\", [\"lying\", 3]... | {"split": "train", "index": 8035} |
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, Scarlett, Zoey, Alexander, Isabella, Ella, Aria, Daniel, and Avery. Mason asserted: \"Zoey is a fool\". \"it is not the case that (if Avery is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1368, \"statements\": [[\"lying\", 2], [\"not\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 5]]], [\"->\", [\"and\", [\"lying\", 8], [\"telling-truth\", 4]], [\"telling-truth\", 4]], [\"and\", [\"lying\", 8], [\"or\"... | {"split": "train", "index": 8036} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Alexander, Evelyn, Jacob, James, Ella, Aurora, Grace, Owen, and Ethan. \"(Ethan is a knave) if and only if Jacob is a knave,\" Alexander declared. Ev... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1369, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"lying\", 2]], [\"->\", [\"not\", [\"lying\", 5]], [\"not\", [\"lying\", 6]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 7]], [\"or\", [\"tell... | {"split": "train", "index": 8037} |
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: Charlotte, Grace, Joseph, Sophia, Penelope, Lucas, Jackson, Ella, and Samuel. Charlotte told you that Grace is a saint. \"if (Penelope is a sinner) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1370, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 5]]], [\"or\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 3], [\"tel... | {"split": "train", "index": 8038} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Elizabeth, Mia, Aurora, Isabella, Emily, David, Jackson, Amelia, and Oliver. In a statement by Elizabeth: \"(Elizabeth is a sage if and only if David is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1371, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 5]], [\"lying\", 7]], [\"or\", [\"and\", [\"telling-truth\", 5], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 6]]], [\"no... | {"split": "train", "index": 8039} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Isabella, Jackson, Oliver, Olivia, Amelia, Sophia, Chloe, Sebastian, and Logan. Isabella told you that (Amelia is a hero or Sebastian is a hero) or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1372, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 5], [\"lying\", 7]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 2]], [\"telling-truth\", 2]], [\"not\", [\"-... | {"split": "train", "index": 8040} |
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, Logan, Aiden, Lucas, Penelope, Ava, Olivia, Riley, and Grace. \"(Logan is a sinner if and only if Riley is a sinner) and (Ava is a sinner),\" Z... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1373, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 7]], [\"not\", [\"telling-truth\", 5]]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 7]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]], [\... | {"split": "train", "index": 8041} |
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: Ella, Chloe, Zoey, Lucas, Ava, Riley, Jacob, Noah, and Scarlett. \"Ella is a hero or (Ava is a villain and Scarlett is a hero),\" Ella declared. Chlo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1374, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"and\", [\"lying\", 4], [\"telling-truth\", 8]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 5]], [\"lying\", 0]], [\"lying\", 6], [\"not\", [\"<=>\", [\"ly... | {"split": "train", "index": 8042} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Joseph, Logan, Avery, Zoey, Lily, Liam, Michael, Elizabeth, and William. Joseph said, \"it is not the case that (Liam is an egoist).\" Accordin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1375, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 5]]], [\"->\", [\"and\", [\"lying\", 8], [\"lying\", 4]], [\"->\", [\"lying\", 6], [\"lying\", 2]]], [\"lying\", 1], [\"or\", [\"or\", [\"telling-truth\", 6], [\"l... | {"split": "train", "index": 8043} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Aiden, Daniel, Sebastian, Evelyn, Sofia, Samuel, Amelia, Mia, and Owen. Aiden said, \"if (if Owen is a hero then Samuel is a villain) then (Owen is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1376, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 8], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 6]]], [\"or\", [\"lying\", 3], [\"and\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"lyin... | {"split": "train", "index": 8044} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Scarlett, Luke, Grace, David, Isabella, Jacob, Elizabeth, Mason, and Avery. Scarlett said, \"if (Grace is a sinner and David is a sinner) then (if Sc... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1377, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 7]], [\"and\", [\"lying\", 2], [\"telling-truth\", 2]... | {"split": "train", "index": 8045} |
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: Charlotte, Jacob, Samuel, Jackson, Avery, William, Ethan, Sebastian, and Liam. Charlotte asserted: \"Jacob is a hero\". \"Avery is a villain\" - Jaco... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1378, \"statements\": [[\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 0], [\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"lying\", 0]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 6]], [\"<=>\", [\"lying\", 8], ... | {"split": "train", "index": 8046} |
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, Mia, David, Aiden, Lucas, Jack, James, Emily, and Sebastian. Victoria asserted: \"if (David is a laggard) then (Lucas is a laggard or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1379, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"lying\", 8]]], [\"and\", [\"lying\", 4], [\"->\", [\"lying\", 0], [\"lying\", 7]]], [\"or\", [\"telling-truth\", 4], [\"or\", [\"ly... | {"split": "train", "index": 8047} |
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: Chloe, Matthew, Isabella, Aiden, Avery, Alexander, Charlotte, Harper, and Henry. As Chloe put it, \"Matthew is a devil and (Matthew is an angel or Henr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1380, \"statements\": [[\"and\", [\"lying\", 1], [\"or\", [\"telling-truth\", 1], [\"lying\", 8]]], [\"lying\", 2], [\"not\", [\"and\", [\"telling-truth\", 6], [\"lying\", 5]]], [\"telling-truth\", 4], [\"->\", [\"or\", [\"lyi... | {"split": "train", "index": 8048} |
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: Benjamin, Olivia, Matthew, Aurora, Mason, Victoria, Henry, Logan, and Elizabeth. \"Elizabeth is an egoist,\" Benjamin declared. \"if Matthew is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1381, \"statements\": [[\"lying\", 8], [\"->\", [\"lying\", 2], [\"not\", [\"lying\", 4]]], [\"telling-truth\", 7], [\"<=>\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 5], [\"lying\", 4]]... | {"split": "train", "index": 8049} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Sophia, Liam, Harper, Avery, Elizabeth, Amelia, Michael, Alexander, and Luke. Sophia remarked, \"Avery is a pioneer\". According to Liam, \"if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1382, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"->\", [\"lying\", 6], [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"lying\", 2]]], [\"or\", [\"or\", [\"lying\", 3], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 2], ... | {"split": "train", "index": 8050} |
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: Ethan, Emma, Ava, Aurora, Alexander, Lucas, Oliver, Isabella, and Amelia. Ethan commented, \"it is not the case that (Lucas is a laggard if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1383, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 7]]], [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 7], [\"lying\", 7]]], [\"or\", [\"not\", [\"lying\",... | {"split": "train", "index": 8051} |
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, Michael, Daniel, Ava, Oliver, Amelia, Ethan, Liam, and Aiden. In a statement by Matthew: \"Ethan is a sinner and (Ava is a sinner and Daniel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1384, \"statements\": [[\"and\", [\"lying\", 6], [\"and\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 8]]], [\"telling-tr... | {"split": "train", "index": 8052} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Emma, Aiden, Grace, Henry, Avery, Alexander, Ethan, Benjamin, and David. In a statement by Emma: \"it is not the case that (Grace is a sage and Henry is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1385, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 7]], [\"not\", [\"lying\", 8]]], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling... | {"split": "train", "index": 8053} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Mia, Owen, Isabella, Benjamin, Victoria, Aiden, Chloe, Sebastian, and Penelope. Mia noted, \"Benjamin is a fool\". \"Benjamin is a fool\" - Owen. \"if (Ben... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1386, \"statements\": [[\"lying\", 3], [\"not\", [\"telling-truth\", 3]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 5]]], [\"and\", [\"or\", [\"lying\", 2], [\"telling-tru... | {"split": "train", "index": 8054} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Luke, Ava, Owen, Michael, Lily, Amelia, Noah, Mason, and Aiden. Luke noted, \"Mason is an altruist\". According to Ava, \"(Mason is an egoist) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1387, \"statements\": [[\"telling-truth\", 7], [\"<=>\", [\"not\", [\"telling-truth\", 7]], [\"telling-truth\", 6]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"or\", [\"not\", [\"lying\", 7]], [\"and\", [\... | {"split": "train", "index": 8055} |
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: Owen, Grace, Ava, Samuel, Zoey, Matthew, Oliver, Aiden, and Elizabeth. As Owen put it, \"(Aiden is a hero and Ava is a villain) and Samuel is a villa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1388, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 7], [\"lying\", 2]], [\"lying\", 3]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"->\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 5], [\"t... | {"split": "train", "index": 8056} |
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: James, Ella, Jack, Lucas, Aiden, Joseph, Aria, Michael, and Penelope. James expressed that if (Ella is a villain) then (Aiden is a villain and Jack i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1389, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 4], [\"lying\", 2]]], [\"not\", [\"and\", [\"lying\", 6], [\"lying\", 2]]], [\"lying\", 4], [\"telling-truth\", 7], [\"<=>\", [\"or\", [\... | {"split": "train", "index": 8057} |
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, Owen, Ella, Emma, Sebastian, Sophia, Luke, Liam, and Isabella. Penelope noted, \"Sebastian is a knight\". Owen asserted: \"(Sebastian is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1390, \"statements\": [[\"not\", [\"lying\", 4]], [\"or\", [\"or\", [\"lying\", 4], [\"lying\", 0]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 8]]], [\"or\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 5], [\"te... | {"split": "train", "index": 8058} |
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, Daniel, Charlotte, David, Henry, Jacob, Victoria, Abigail, and Emma. In a statement by William: \"(Abigail is a saint) if and only if (if Da... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1391, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 7]], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"and\",... | {"split": "train", "index": 8059} |
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, Jackson, Henry, Zoey, Olivia, Jack, Isabella, Elizabeth, and Amelia. \"(Jack is an egoist if and only if Zoey is an altruist) and (Jacks... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1392, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 3]]], [\... | {"split": "train", "index": 8060} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Joseph, William, Mason, Lucas, Elizabeth, Sophia, Scarlett, Alexander, and Aiden. \"Elizabeth is a sinner,\" Joseph mentioned. William remarked, \"(J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1393, \"statements\": [[\"lying\", 4], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 2], [\"lying\", 5]]], [\"and\", [\"lying\", 7], [\"telling-truth\", 3]], [\"not\", [\"or\", [\"telling-truth\", 7], [\"ly... | {"split": "train", "index": 8061} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Mason, Lily, Grace, Ethan, Benjamin, Evelyn, Sebastian, Matthew, and Joseph. \"it is not the case that (Grace is a hero if and only if Grace is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1394, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"<=>\", [\"and\", [\"lying\", 8], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"and\", [\"and\", [\"telling-truth... | {"split": "train", "index": 8062} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Aiden, Olivia, Sofia, Daniel, James, Scarlett, Evelyn, Henry, and Matthew. As Aiden put it, \"(James is a saint if and only if Sofia is a saint) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1395, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"lying\", 8]]], [\"and\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"lying\", 6]], [\"and\", [\"->\", [\... | {"split": "train", "index": 8063} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Abigail, Joseph, Evelyn, Aiden, Harper, Luke, Amelia, Mia, and Ella. In a statement by Abigail: \"Amelia is an egoist or (Evelyn is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1396, \"statements\": [[\"or\", [\"lying\", 6], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 5]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"or\", [\"lying\", 8], [\"telling-truth\", 2]]], ... | {"split": "train", "index": 8064} |
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: Olivia, Lucas, Sophia, Mason, Aria, Jack, Amelia, Luke, and Elizabeth. In Olivia's words: \"(if Aria is a laggard then Amelia is a pioneer) if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1397, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 6]], [\"->\", [\"lying\", 7], [\"lying\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 5], [\"lying\", 8]]], [\"or\", [\"or\", [\"lying\", 4], [\"ly... | {"split": "train", "index": 8065} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Sebastian, Zoey, David, Penelope, Ethan, Sofia, Logan, Amelia, and Jacob. Sebastian expressed that if (if Logan is a pioneer then Amelia is a l... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1398, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 6], [\"lying\", 7]], [\"lying\", 3]], [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 1], [\"lying\", 7]]], [\"or\", [\"telling-truth... | {"split": "train", "index": 8066} |
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: Ethan, Emily, Oliver, Jacob, Amelia, Michael, Lucas, Ella, and William. Ethan asserted: \"(Ella is a hero and Amelia is a hero) if and only if (Ella ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1399, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 5]]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 6]], [\"<=>\", [\"and\", [\"... | {"split": "train", "index": 8067} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Jackson, Ava, Lucas, Liam, David, James, Sebastian, Chloe, and Olivia. Jackson remarked, \"if (if Chloe is a knave then Olivia is a knight) then Jack... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1400, \"statements\": [[\"->\", [\"->\", [\"lying\", 7], [\"telling-truth\", 8]], [\"telling-truth\", 0]], [\"telling-truth\", 0], [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]], [\"lying\", 4]], [\"->\", [\"lying\"... | {"split": "train", "index": 8068} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Jackson, Penelope, David, Benjamin, Aurora, Ethan, Chloe, Zoey, and Aiden. \"(Aiden is a pioneer or Zoey is a pioneer) if and only if (if Zoey ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1401, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"->\", [\"lying\", 7], [\"telling-truth\", 7]]], [\"lying\", 8], [\"or\", [\"not\", [\"lying\", 5]], [\"->\", [\"lying\", 6], [\"tell... | {"split": "train", "index": 8069} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Emma, Evelyn, Aria, Isabella, Harper, Mia, Grace, Olivia, and Owen. According to Emma, \"it is not the case that (Harper is a hero)\". Evelyn express... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1402, \"statements\": [[\"not\", [\"not\", [\"lying\", 4]]], [\"not\", [\"and\", [\"lying\", 5], [\"lying\", 7]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"not\", [\"lying\", 6]]], [\"<=>\", [\"-... | {"split": "train", "index": 8070} |
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, Isabella, Ava, Riley, Benjamin, Grace, Henry, Charlotte, and Emma. Zoey expressed that if (Charlotte is a sinner) then (Charlotte is a saint). ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1403, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 7]], [\"not\", [\"lying\", 7]]], [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 6]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 0]]], [\"or\", [\"lying\", 4], [... | {"split": "train", "index": 8071} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Liam, Matthew, Aiden, Evelyn, Zoey, Grace, Owen, Emily, and Aria. Liam stated, \"(Grace is a pioneer and Liam is a pioneer) if and only if (Lia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1404, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"lyin... | {"split": "train", "index": 8072} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Daniel, Noah, Mason, Emma, Jack, Aurora, Scarlett, Owen, and Sophia. As Daniel put it, \"(Emma is a sinner or Mason is a sinner) if and only if (Soph... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1405, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 7]]], [\"->\", [\"or\", [\"lying\", 0], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 2], [\"lyi... | {"split": "train", "index": 8073} |
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: Olivia, Lucas, Owen, Aria, Jack, Samuel, Evelyn, Abigail, and Penelope. Olivia said that (if Jack is a pioneer then Aria is a laggard) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1406, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 7]]], [\"not\", [\"telling-truth\", 0]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"tel... | {"split": "train", "index": 8074} |
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: Charlotte, Noah, Jackson, Lucas, Emma, Harper, Mason, Mia, and Amelia. Charlotte said that (Lucas is a devil and Harper is an angel) or (Mason is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1407, \"statements\": [[\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 8], [\"tel... | {"split": "train", "index": 8075} |
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: Henry, Aria, Jack, David, Sofia, Abigail, Riley, James, and Harper. In Henry's words: \"it is not the case that (James is a knight and Riley is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1408, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 6]]], [\"<=>\", [\"telling-truth\", 6], [\"or\", [\"lying\", 3], [\"lying\", 8]]], [\"telling-truth\", 8], [\"not\", [\"not\", [\"telling-t... | {"split": "train", "index": 8076} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Oliver, William, Mason, Mia, Aria, Jacob, Logan, Harper, and Scarlett. Oliver said that (Mia is a saint if and only if Mason is a saint) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1409, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 8], [\"lying\", 2]]], [\"lying\", 4], [\"and\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 0]]... | {"split": "train", "index": 8077} |
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: Matthew, Jack, James, Abigail, Emma, Emily, Evelyn, Aiden, and Amelia. Matthew said, \"if Emma is a knave then Evelyn is a knight.\" Jack stated, \"E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1410, \"statements\": [[\"->\", [\"lying\", 4], [\"telling-truth\", 6]], [\"lying\", 4], [\"or\", [\"->\", [\"telling-truth\", 7], [\"lying\", 5]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"or\", [\"<=>\", ... | {"split": "train", "index": 8078} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Jacob, Emma, Oliver, Mia, Samuel, Olivia, David, Sofia, and Chloe. \"(David is a hero if and only if Oliver is a villain) and (Samuel is a villain or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1411, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 6]]], [\"lying\", 4], [\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 6]]], [\"not\", [\"... | {"split": "train", "index": 8079} |
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: Daniel, Matthew, Jack, Amelia, Samuel, Liam, Benjamin, Isabella, and Jackson. In a statement by Daniel: \"(Liam is a laggard and Daniel is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1412, \"statements\": [[\"and\", [\"and\", [\"lying\", 5], [\"telling-truth\", 0]], [\"and\", [\"lying\", 1], [\"telling-truth\", 5]]], [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 6]], [\"not\", [\"lying\", 5]]], [\"->\", [... | {"split": "train", "index": 8080} |
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: Logan, Samuel, Jacob, Owen, Evelyn, Emma, Jackson, Charlotte, and Michael. Logan commented, \"if Jackson is a laggard then (if Michael is a lag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1413, \"statements\": [[\"->\", [\"lying\", 6], [\"->\", [\"lying\", 8], [\"lying\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 5]], [\"not\", [\"lying\", 6]], [\"and\", [\"lying\", 6], [\"telling-tr... | {"split": "train", "index": 8081} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Mason, Victoria, Elizabeth, Michael, Sofia, Daniel, Sophia, James, and Matthew. Mason stated, \"Sofia is an egoist or (if Daniel is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1414, \"statements\": [[\"or\", [\"lying\", 4], [\"->\", [\"telling-truth\", 5], [\"lying\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 3]]], [\"not\", [\"<=>\", [\... | {"split": "train", "index": 8082} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Emily, Abigail, Mia, Joseph, Avery, William, Zoey, Jack, and James. Emily remarked, \"(if Mia is an egoist then Mia is an altruist) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1415, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"lying\", 5]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 4]... | {"split": "train", "index": 8083} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Henry, Abigail, Victoria, Mia, Joseph, Noah, Charlotte, Elizabeth, and Aria. In a statement by Henry: \"Abigail is a laggard and (Charlotte is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1416, \"statements\": [[\"and\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 0]]], [\"not\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 0]]], [\"telling-truth\", 4], [\"->\", [\"->\", [\"lying\", 2... | {"split": "train", "index": 8084} |
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: Matthew, Emma, Sebastian, Victoria, Sofia, Mason, Samuel, Sophia, and Daniel. In a statement by Matthew: \"(Samuel is a knave if and only if Daniel i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1417, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"lying\", 2], [\"lying\", 8]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"and\"... | {"split": "train", "index": 8085} |
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: Penelope, Ava, Grace, David, Mia, Ethan, Zoey, Oliver, and Joseph. Penelope was heard saying, \"(Joseph is a hero or Grace is a hero) and (Grace is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1418, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 2]], [\"or\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 2]], [\"->\", [\"lyi... | {"split": "train", "index": 8086} |
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, Aurora, Benjamin, Abigail, Aria, Zoey, Evelyn, Noah, and Ella. James expressed that Aria is a knight. \"(if Abigail is a knight then Ella is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1419, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 8]], [\"and\", [\"lying\", 2], [\"telling-truth\", 8]]], [\"or\", [\"not\", [\"lying\", 3]], [\"lying\", 6]], [\"and\", [\"<=... | {"split": "train", "index": 8087} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Grace, Olivia, Emma, Sebastian, Jacob, Mia, Sophia, Daniel, and Aurora. In Grace's words: \"Mia is a saint\". Olivia said, \"Mia is a sinner.\" Emma ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1420, \"statements\": [[\"telling-truth\", 5], [\"lying\", 5], [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"->\", [\"and\", [\"lying\", 6], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 8], [\"lying... | {"split": "train", "index": 8088} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Elizabeth, Riley, Alexander, Isabella, Noah, James, Sophia, Mia, and Olivia. In a statement by Elizabeth: \"it is not the case that (if Mia is a sage then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1421, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 5]]], [\"->\", [\"telling-truth\", 6], [\"or\", [\"lying\", 0], [\"lying\", 2]]], [\"not\", [\"or\", [\"lying\", 1], [\"lying\", 0]]], [\"no... | {"split": "train", "index": 8089} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Harper, James, Victoria, Olivia, Liam, Isabella, Aria, Charlotte, and Lucas. \"if (Lucas is a pioneer or Olivia is a laggard) then (James is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1422, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 8], [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"telling-truth\", 6], [\"or\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 4]], [\"->\", [\"telling-trut... | {"split": "train", "index": 8090} |
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: Lily, David, Amelia, Zoey, Olivia, James, Oliver, Isabella, and Jacob. Lily said that it is not the case that (Isabella is an egoist and Isabel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1423, \"statements\": [[\"not\", [\"and\", [\"lying\", 7], [\"telling-truth\", 7]]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 0]], [\"not\", [\"lying\", 2]]], [\"not\", [\"<=>\", [\"lying\", 6], [\"lying\", 8]]],... | {"split": "train", "index": 8091} |
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: Sebastian, David, Ella, Henry, Lucas, Jacob, Logan, Benjamin, and Abigail. Sebastian asserted: \"it is not the case that (Sebastian is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1424, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 5]]], [\"->\", [\"not\", [\"telling-truth\", 8]], [\"not\", [\"lying\", 7]]], [\"or\", [\"and\", [\"lying\", 7], [\"telling-truth\", 4]], [... | {"split": "train", "index": 8092} |
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: Victoria, Mason, Owen, Avery, Penelope, Harper, Aria, James, and Sebastian. Victoria asserted: \"(Harper is an altruist or Sebastian is an altr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1425, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 4], [\"lying\", 8]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"or\", [\"telling-tr... | {"split": "train", "index": 8093} |
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, Elizabeth, Jack, Oliver, Sophia, Chloe, Michael, Abigail, and Sofia. Matthew told you that Abigail is a saint or (if Abigail is a sinner the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1426, \"statements\": [[\"or\", [\"telling-truth\", 7], [\"->\", [\"lying\", 7], [\"lying\", 6]]], [\"not\", [\"or\", [\"lying\", 5], [\"lying\", 4]]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 6]], [\"->\", [\"->\... | {"split": "train", "index": 8094} |
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: Zoey, Jacob, Ella, Avery, Charlotte, Lucas, Samuel, Henry, and Lily. Zoey said that (Jacob is a knight or Charlotte is a knave) if and only if (Henry... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1427, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"lying\", 7]]], [\"or\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"and\", [\"lying\", 8], [\"telling-truth\", 0... | {"split": "train", "index": 8095} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Jackson, Riley, Oliver, Amelia, Aiden, Henry, Chloe, Harper, and Michael. \"if (Riley is a fool) then (if Riley is a sage then Riley is a fool),\" Jackson ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1428, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"<=>\", [\"->\", [\"lying\", 8], [\"telling-truth\", 2]], [\"not\", [\"lying\", 5]]], [\"->\", [\"not\", [... | {"split": "train", "index": 8096} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Chloe, Henry, Abigail, Ella, Sophia, Zoey, Ava, Riley, and David. As Chloe put it, \"it is not the case that (if Zoey is a knave then Sophia is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1429, \"statements\": [[\"not\", [\"->\", [\"lying\", 5], [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"lying\", 7], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 4], [\"lying\", 5]]], [\"<=>\", [\"or\", [\"telling-tr... | {"split": "train", "index": 8097} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Joseph, Lily, Chloe, Benjamin, Grace, Scarlett, Luke, Isabella, and Lucas. Joseph asserted: \"(Grace is a sage) or (Scarlett is a fool or Benjamin is a foo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1430, \"statements\": [[\"or\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 5], [\"lying\", 3]]], [\"->\", [\"->\", [\"lying\", 5], [\"lying\", 3]], [\"and\", [\"telling-truth\", 8], [\"lying\", 2]]], [\"->\", [\"telling-t... | {"split": "train", "index": 8098} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Liam, Matthew, Scarlett, Emily, Penelope, Daniel, Sophia, Joseph, and Henry. In Liam's words: \"it is not the case that (Scarlett is a laggard ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1431, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 6]]], [\"<=>\", [\"->\", [\"lying\", 0], [\"telling-truth\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"telling-truth\", 8], [\"lying\", 6]... | {"split": "train", "index": 8099} |
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