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 knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Olivia, Penelope, Liam, Amelia, Chloe, Evelyn, Joseph, Aria, and Aurora. Olivia expressed that (if (if Evelyn is a knight then Chloe is a knave) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1522, \"statements\": [[\"and\", [\"->\", [\"->\", [\"telling-truth\", 5], [\"lying\", 4]], [\"or\", [\"lying\", 7], [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 1]]], [\"->\", [\"telling-truth\", 1], [\"->\", [... | {"split": "train", "index": 19300} |
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: Ella, Owen, Sophia, Logan, Olivia, Lucas, Isabella, Luke, and Scarlett. Ella said that (if (if Lucas is a fool then Isabella is a sage) then (Olivia is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1523, \"statements\": [[\"or\", [\"->\", [\"->\", [\"lying\", 5], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 4], [\"lying\", 5], [\"lying\", 3]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\",... | {"split": "train", "index": 19301} |
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: Amelia, Sophia, Michael, Evelyn, Jackson, Scarlett, Harper, Victoria, and Grace. Amelia asserted: \"if Jackson is a saint then (if (Michael is a sain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1524, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 8]], [\"lying\", 6]]], [\"lying\", 5], [\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 8]]... | {"split": "train", "index": 19302} |
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, Mason, Olivia, Owen, Elizabeth, Joseph, Emily, Sofia, and Sebastian. In a statement by Luke: \"(if (Sofia is a sinner or Olivia is a sinner or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1525, \"statements\": [[\"and\", [\"->\", [\"or\", [\"lying\", 7], [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"lying\", 7], [\"tell... | {"split": "train", "index": 19303} |
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, Alexander, Evelyn, Chloe, Jackson, Mia, Jacob, Aurora, and Mason. Matthew said that Alexander is a villain. In Alexander's words: \"it is no... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1526, \"statements\": [[\"lying\", 1], [\"not\", [\"not\", [\"telling-truth\", 7]]], [\"->\", [\"or\", [\"->\", [\"lying\", 6], [\"lying\", 8]], [\"->\", [\"lying\", 5], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"lying\", 1], [\"... | {"split": "train", "index": 19304} |
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: Avery, Ethan, Harper, Matthew, Chloe, Mason, Isabella, Riley, and Benjamin. Avery commented, \"Harper is a hero and (it is not the case that (Mason i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1527, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"not\", [\"or\", [\"telling-truth\", 5], [\"lying\", 3]]]], [\"and\", [\"lying\", 8], [\"and\", [\"->\", [\"lying\", 2], [\"lying\", 5]], [\"and\", [\"telling-truth\",... | {"split": "train", "index": 19305} |
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, Olivia, Avery, Chloe, Riley, Jacob, and Elizabeth. \"Riley is a sinner or Avery is a saint or Avery is a sinner or ((Avery ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1528, \"statements\": [[\"or\", [\"lying\", 6], [\"telling-truth\", 4], [\"lying\", 4], [\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 8], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"... | {"split": "train", "index": 19306} |
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, Emma, Olivia, Alexander, David, Oliver, Isabella, Charlotte, and Chloe. Noah commented, \"Alexander is a knave\". Emma told you that it is not ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1529, \"statements\": [[\"lying\", 3], [\"not\", [\"and\", [\"not\", [\"lying\", 7]], [\"or\", [\"lying\", 6], [\"telling-truth\", 3]], [\"lying\", 6], [\"and\", [\"telling-truth\", 3], [\"lying\", 3]]]], [\"<=>\", [\"and\", [... | {"split": "train", "index": 19307} |
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, Jackson, Aurora, Penelope, Olivia, James, Owen, Benjamin, and Oliver. As Henry put it, \"Olivia is a saint\". Jackson said, \"((Henry is a sin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1530, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 8], [\"lying\", 7], [\"lying\", 8], [\"telling-truth\", 4]], [\"and\", [\"tell... | {"split": "train", "index": 19308} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Elizabeth, Ava, Abigail, Jackson, Sebastian, Evelyn, Henry, Scarlett, and Penelope. \"((Evelyn is an altruist) if and only if (Sebastian is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1531, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"lying\", 5]], [\"not\", [\"telling-truth\", 4]]], [\"lying\", 8]], [\"->\", [\"not\", [\"or\", [\"lying\", 3], [\"lying\", 0], [\"lying\", 4], [\"telling-truth\", 1]]], [... | {"split": "train", "index": 19309} |
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: Ella, Samuel, Penelope, Zoey, Riley, Harper, David, Owen, and Sebastian. Ella commented, \"(if (if Samuel is a fool then Riley is a sage) then (if David is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1532, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"->\", [\"lying\", 6], [\"telling-truth\", 7]]], [\"<=>\", [\"and\", [\"lying\", 8], [\"telling-truth\", 2], [\"lying\", 6]], [\"<=>... | {"split": "train", "index": 19310} |
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: Aurora, Noah, Joseph, Amelia, Isabella, Ava, Chloe, Lucas, and Emma. In Aurora's words: \"(it is not the case that (Isabella is a pioneer and N... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1533, \"statements\": [[\"or\", [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 6], [\"telling-truth\", 8]]], [\"telling-truth\", 5], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth... | {"split": "train", "index": 19311} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Liam, Elizabeth, David, Ava, Mason, Penelope, Oliver, Sofia, and Emily. According to Liam, \"it is not the case that ((David is a sinner or Sofia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1534, \"statements\": [[\"not\", [\"or\", [\"or\", [\"lying\", 2], [\"lying\", 7], [\"telling-truth\", 6], [\"lying\", 1]], [\"<=>\", [\"lying\", 7], [\"lying\", 3]], [\"telling-truth\", 7]]], [\"->\", [\"or\", [\"or\", [\"tel... | {"split": "train", "index": 19312} |
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, Scarlett, Jacob, Owen, Ella, Ava, Grace, Avery, and Noah. Sebastian noted, \"if (if (Avery is a pioneer if and only if Noah is a pio... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1535, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 8], [\"lying\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 1]]]], [\"and\", [\"<=>\", [\"and\", [\"te... | {"split": "train", "index": 19313} |
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, Noah, Harper, Lucas, Sofia, Sophia, Victoria, Jackson, and Zoey. In a statement by Ella: \"(it is not the case that (Sofia is an angel if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1536, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 8]]], [\"<=>\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 8]]], [\"telling-truth\", 1]], [\"->\", [\"not\",... | {"split": "train", "index": 19314} |
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, Olivia, Matthew, Michael, Ethan, Sofia, Ella, Henry, and Aurora. In Daniel's words: \"((Olivia is an angel and Daniel is an angel and Matthew i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1537, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 2]], [\"not\", [\"lying\", 5]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"or\", [\"lying\", 5], ... | {"split": "train", "index": 19315} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Michael, Emma, Amelia, Oliver, Benjamin, Owen, Emily, Harper, and Aiden. As Michael put it, \"it is not the case that ((Aiden is a fool or Amelia is a fool... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1538, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"lying\", 8], [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 1]], [\"not\", [\"telling-truth\", 4]]]], [\"lying\", 0], [\"->\", [\"<=>\", [\"and\", [\"telling-truth\",... | {"split": "train", "index": 19316} |
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, Ella, Aiden, Abigail, Alexander, Emily, Emma, William, and James. Jackson commented, \"(Abigail is a knight if and only if (Emily is a knave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1539, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 3], [\"and\", [\"lying\", 5], [\"lying\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 6], [\"lying\", 1]]]], [\"not... | {"split": "train", "index": 19317} |
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: Charlotte, Emily, Noah, Isabella, Joseph, Alexander, Lily, Aiden, and Logan. Charlotte told you that ((if Emily is a laggard then Isabella is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1540, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 0], [\"lying\", 1]... | {"split": "train", "index": 19318} |
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, Alexander, Evelyn, Harper, Aiden, Riley, Benjamin, Aurora, and Avery. \"it is not the case that (Evelyn is an angel and (if Aiden is an angel the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1541, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 4], [\"lying\", 7]]]], [\"and\", [\"or\", [\"not\", [\"telling-truth\", 5]], [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"not\", [... | {"split": "train", "index": 19319} |
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: Liam, Evelyn, Michael, Penelope, Sebastian, Scarlett, Amelia, William, and Henry. Liam said, \"((Michael is an altruist or Penelope is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1542, \"statements\": [[\"or\", [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 7]], [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 4], [\"lying\", 8], [\"lying\", 1]], [\"and\", [\"lying\", 6]... | {"split": "train", "index": 19320} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Ava, Jacob, Samuel, Penelope, Owen, Ella, Alexander, Elizabeth, and Jack. In a statement by Ava: \"(it is not the case that (Owen is a villain or Sam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1543, \"statements\": [[\"and\", [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"telling-truth\", 1]], [\"or\", [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"ly... | {"split": "train", "index": 19321} |
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: Harper, Jackson, Ella, Ava, Isabella, Evelyn, Aiden, Benjamin, and Riley. Harper remarked, \"Jackson is a devil\". Jackson said, \"((Riley is a devil) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1544, \"statements\": [[\"lying\", 1], [\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 8], [\"lying\", 5]], [\"not\", [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 8]]], [\... | {"split": "train", "index": 19322} |
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: Sophia, Harper, Grace, Daniel, Avery, Riley, Jacob, Elizabeth, and Logan. As Sophia put it, \"Avery is an angel\". \"it is not the case that (if Sophia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1545, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"->\", [\"lying\", 0], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 6]]]], [\"not\", [\"not\", [\"lying\", 5]]], [\"not\", [\"not\", [\"and\", [\"lying\", 2], ... | {"split": "train", "index": 19323} |
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, Noah, Sebastian, Ethan, Daniel, Lucas, Alexander, Scarlett, and Henry. Evelyn said that if ((if Noah is a knave then Sebastian is a knight) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1546, \"statements\": [[\"->\", [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"lying\", 5]], [\"or\", [\"not\", [\"telling-truth\", 6]], [\"->\", [\"tel... | {"split": "train", "index": 19324} |
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, Isabella, Sophia, Abigail, Samuel, Michael, Evelyn, Ethan, and Benjamin. \"Abigail is a saint,\" Oliver claimed. Isabella said that (Oliver i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1547, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"not\", [\"lying\", 0]], [\"not\", [\"<=>\", [\"lying\", 6], [\"lying\", 5]]]], [\"->\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"telling-... | {"split": "train", "index": 19325} |
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: Sophia, Noah, Sebastian, Grace, Benjamin, David, Emma, Riley, and Joseph. Sophia stated, \"if (if (Grace is an angel if and only if Benjamin is an ange... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1548, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 6]]], [\"or\", [\"and\", [\"lying\", 6], [\"lying\", 8], [\"telling-trut... | {"split": "train", "index": 19326} |
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: Noah, Jackson, Alexander, Evelyn, Mia, Aiden, Victoria, William, and Mason. Noah noted, \"if ((Evelyn is a hero) or (if Evelyn is a hero then William... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1549, \"statements\": [[\"->\", [\"or\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 7]]], [\"not\", [\"or\", [\"lying\", 7], [\"lying\", 3]]]], [\"or\", [\"lying\", 0], [\"or\", [\"not\", [... | {"split": "train", "index": 19327} |
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: Elizabeth, Abigail, Noah, Scarlett, Owen, Ethan, David, Henry, and Chloe. Elizabeth commented, \"if Ethan is a sinner then (Henry is a sinner and (No... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1550, \"statements\": [[\"->\", [\"lying\", 5], [\"and\", [\"lying\", 7], [\"and\", [\"lying\", 2], [\"lying\", 6], [\"lying\", 5]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]]], [\"or\", [\"or\", [\"->\", [\"tel... | {"split": "train", "index": 19328} |
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, Grace, Scarlett, Isabella, Evelyn, Benjamin, Charlotte, Riley, and Ava. Henry expressed that ((Charlotte is a sinner) or (Evelyn is a saint an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1551, \"statements\": [[\"or\", [\"or\", [\"not\", [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 6], [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"lying\", 5], [\"lying\", 4],... | {"split": "train", "index": 19329} |
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: Evelyn, David, Lucas, Liam, Logan, Penelope, Jacob, Zoey, and Daniel. Evelyn expressed that (Logan is a villain or (Logan is a villain) or (Lucas is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1552, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 4], [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"and\", [\"lying\", 5], [\"telling-truth\", 5], [\"telling-truth\", 1], ... | {"split": "train", "index": 19330} |
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, David, James, Riley, Jack, Logan, Elizabeth, Grace, and Oliver. According to Ethan, \"(it is not the case that (if David is an altruist ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1553, \"statements\": [[\"or\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"telling-truth\", 3]], [\"and\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"lying\", 8], [\"telling-tr... | {"split": "train", "index": 19331} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Mia, William, Liam, Aria, Jack, Penelope, Riley, Alexander, and Charlotte. Mia stated, \"((Jack is an altruist) if and only if (Penelope is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1554, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 5], [\"lying\", 2]]], [\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", ... | {"split": "train", "index": 19332} |
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: James, Alexander, Liam, Amelia, Aria, Zoey, Isabella, Riley, and Sofia. James noted, \"Zoey is an angel\". Alexander said that Isabella is a devil. \"i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1555, \"statements\": [[\"not\", [\"lying\", 5]], [\"lying\", 6], [\"not\", [\"and\", [\"->\", [\"lying\", 6], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 7]], [\"or\", [\"lying\", 6], [\"lying\", 8]], [\"->\", [\"l... | {"split": "train", "index": 19333} |
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: Lily, Amelia, Avery, Emily, Isabella, Samuel, Jacob, Riley, and Ella. Lily said, \"(it is not the case that (Avery is a pioneer and Riley is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1556, \"statements\": [[\"and\", [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 7], [\"telling-truth\", 8]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"lying\", 1]]]], [\"or\", [\"->\", [\... | {"split": "train", "index": 19334} |
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: Noah, Alexander, Evelyn, Logan, Sophia, Matthew, Abigail, Michael, and Benjamin. \"Sophia is a hero,\" Noah mentioned. Alexander stated, \"((if Sophi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1557, \"statements\": [[\"not\", [\"lying\", 4]], [\"and\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 3], [\"lying\", 0]], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"te... | {"split": "train", "index": 19335} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Jacob, Mason, Grace, Henry, Noah, Aiden, Amelia, Penelope, and Alexander. \"Mason is an angel and (if (Mason is an angel if and only if Amelia is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1558, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 6]], [\"not\", [\"lying\", 5]]], [\"<=>\", [\"->\", [\"telling-truth\", 6], [\"lying\", 8]], [\"telling-tr... | {"split": "train", "index": 19336} |
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: Noah, Benjamin, Zoey, Ethan, Evelyn, Mia, Scarlett, Liam, and Samuel. \"if (it is not the case that (Liam is an altruist)) then ((Scarlett is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1559, \"statements\": [[\"->\", [\"not\", [\"not\", [\"lying\", 7]]], [\"and\", [\"and\", [\"lying\", 6], [\"telling-truth\", 0], [\"telling-truth\", 8]], [\"telling-truth\", 5], [\"telling-truth\", 6]]], [\"<=>\", [\"not\", [... | {"split": "train", "index": 19337} |
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, Mason, William, David, Lucas, Olivia, Ella, Daniel, and Owen. Alexander asserted: \"(if (Daniel is a knave and Owen is a knave and Daniel ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1560, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"lying\", 7], [\"lying\", 8], [\"telling-truth\", 7], [\"lying\", 2]], [\"telling-truth\", 5]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 2]]], [\"<=>... | {"split": "train", "index": 19338} |
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, Riley, Joseph, Isabella, Evelyn, Emma, Zoey, Logan, and Mason. \"((if Isabella is a sage then Evelyn is a sage) or (Isabella is a sage) or Riley is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1561, \"statements\": [[\"or\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"lying\", 3]], [\"lying\", 1]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"<=>\", [\"ly... | {"split": "train", "index": 19339} |
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: Oliver, David, Elizabeth, Aurora, Abigail, Samuel, Matthew, Lucas, and Daniel. Oliver stated, \"it is not the case that ((Daniel is a sage or Aurora is a f... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1562, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 8], [\"lying\", 3]], [\"lying\", 4]]], [\"and\", [\"->\", [\"telling-truth\", 6], [\"or\", [\"lying\", 0], [\"lying\", 4], [\"lying\", 2], [\"telling-trut... | {"split": "train", "index": 19340} |
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, Benjamin, Harper, Noah, Joseph, Lucas, Sofia, Zoey, and Matthew. As Avery put it, \"it is not the case that (it is not the case that (Joseph i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1563, \"statements\": [[\"not\", [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 8], [\"lying\", 7]]]], [\"and\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 0], [\"... | {"split": "train", "index": 19341} |
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, Jacob, Benjamin, Matthew, Victoria, Sebastian, Jack, and Daniel. According to Evelyn, \"Victoria is a pioneer\". As Luke put it, ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1564, \"statements\": [[\"telling-truth\", 5], [\"not\", [\"and\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 3], [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"lying\", 0], [\"and\", [\"lying\", 8], [\"telling... | {"split": "train", "index": 19342} |
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: Sophia, Sebastian, Victoria, Emily, Aria, Jacob, Alexander, Scarlett, and Ava. \"if ((Scarlett is an angel if and only if Emily is an angel) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1565, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"lying\", 8]]], [\"lying\", 5]], [\"or\", [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-tr... | {"split": "train", "index": 19343} |
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, Harper, Victoria, Logan, Grace, Sophia, Zoey, Abigail, and Ava. Samuel said that it is not the case that ((Grace is a knight if and only if Z... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1566, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 6]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 6]]]], [\"telling-truth\", 0], [\"lying\", 5], [\"lying\", 5], [\"and\"... | {"split": "train", "index": 19344} |
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, Jacob, Benjamin, Aiden, Abigail, William, Ava, Lily, and Penelope. Isabella asserted: \"Penelope is an altruist and ((Aiden is an alt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1567, \"statements\": [[\"and\", [\"telling-truth\", 8], [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 8], [\"telling-truth\", 6], [\"telling-truth\", 0]], [\"not\", [\"lying\", 8]]]], [\"not\", [\"<=>\", [\"and\", [\"... | {"split": "train", "index": 19345} |
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: Oliver, Amelia, Jacob, Emily, Mason, Riley, Grace, Evelyn, and Zoey. Oliver told you that (it is not the case that (Emily is a fool and Riley is a sage)) i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1568, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 5]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 6]], [\"lying\", 2]]], [\"or\", [\"not\", [\"<=>\", [\"lying\", 0], [\"telling-truth... | {"split": "train", "index": 19346} |
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: Avery, Penelope, Benjamin, Henry, Grace, Ella, Lucas, Alexander, and Scarlett. Avery asserted: \"((Grace is a hero or Grace is a villain or Avery is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1569, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 3], [\"lying\", 8]], [\"->\", [\"lying\", 1], [\"telling-... | {"split": "train", "index": 19347} |
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, Grace, Lucas, Victoria, Riley, Emily, Zoey, Amelia, and Michael. Aurora said that (if (Emily is a sinner) then (Victoria is a saint)) if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1570, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 5]], [\"not\", [\"lying\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 8]]]], [\"->\", [\"telling-truth\", 3], [\"or\"... | {"split": "train", "index": 19348} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Emily, Olivia, Ava, Logan, Scarlett, Michael, Daniel, Chloe, and Joseph. Emily was heard saying, \"((if Logan is a sage then Emily is a sage) or (Logan is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1571, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"telling-truth\", 8]], [\"not\", [\"not\", [\"lying\", 6]]]], [\"... | {"split": "train", "index": 19349} |
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, Mason, Jack, Oliver, Ella, Samuel, Olivia, Riley, and Emily. Charlotte was heard saying, \"(if Samuel is a devil then (Mason is an angel and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1572, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 5], [\"and\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 8],... | {"split": "train", "index": 19350} |
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, Jacob, Owen, Aiden, William, Mia, Grace, Ethan, and Benjamin. Amelia said, \"it is not the case that ((Ethan is a sage if and only if Grace is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1573, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 2], [\"lying\", 6]]]], [\"->\", [\"or\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 7], [... | {"split": "train", "index": 19351} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Isabella, Evelyn, Liam, Luke, Charlotte, Logan, Emma, Mia, and Ava. Isabella commented, \"Mia is a fool\". \"Isabella is a fool and (if (if Liam is a sage ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1574, \"statements\": [[\"lying\", 7], [\"and\", [\"lying\", 0], [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 7]], [\"->\", [\"lying\", 0], [\"telling-truth\", 5]]]], [\"not\", [\"not\", [\"->\", [\"lying\", 8... | {"split": "train", "index": 19352} |
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, Emma, Michael, Oliver, Charlotte, Joseph, Avery, Aria, and James. In Zoey's words: \"it is not the case that ((Charlotte is an egoist and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1575, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 1]]]], [\"or\", [\"telling-truth\", 8], [\"<=>\... | {"split": "train", "index": 19353} |
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, Ella, Sophia, Ava, Ethan, Mason, Lucas, Jack, and Olivia. Abigail said, \"(it is not the case that (Ella is an altruist)) or ((Lucas i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1576, \"statements\": [[\"or\", [\"not\", [\"not\", [\"lying\", 1]]], [\"<=>\", [\"<=>\", [\"lying\", 6], [\"lying\", 7]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 3]]], [\"and\", [\"<=>\", [\"lying\", 3],... | {"split": "train", "index": 19354} |
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, Henry, Benjamin, Ethan, Abigail, Logan, Alexander, Aurora, and Aria. Ava commented, \"(if Ava is an angel then (if Henry is an angel then Logan is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1577, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 1], [\"lying\", 5]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 6]]]], [\"<=>\", [\"<=>\", [\"or\", [\"lying\"... | {"split": "train", "index": 19355} |
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: David, Joseph, Aiden, Alexander, Sofia, Benjamin, Owen, Daniel, and Penelope. As David put it, \"(Owen is a knave and (Joseph is a knight and Joseph ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1578, \"statements\": [[\"or\", [\"and\", [\"lying\", 6], [\"and\", [\"telling-truth\", 1], [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"lying\", 1], [\"or\", [\"->\", [\"telling-truth\", 5], [\"telling... | {"split": "train", "index": 19356} |
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: James, Daniel, Isabella, Mia, Aurora, Henry, Liam, Sofia, and Oliver. As James put it, \"(it is not the case that (Daniel is an angel or Isabella is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1579, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 7]]], [\"->\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 7]], [\"not\", [\"tel... | {"split": "train", "index": 19357} |
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, Aria, Alexander, Scarlett, Daniel, Isabella, Mia, Aiden, and Harper. William said that (Aria is an angel and (Harper is a devil if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1580, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 1], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 1]]], [\"lying\", 5]], [\"-... | {"split": "train", "index": 19358} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Emma, Sophia, Jacob, Jackson, Logan, Jack, Riley, Matthew, and Sofia. In Emma's words: \"it is not the case that (Jacob is a saint or (Jackson is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1581, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 6], [\"lying\", 2]], [\"not\", [\"lying\", 4]]]], [\"<=>\", [\"n... | {"split": "train", "index": 19359} |
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, Jackson, Zoey, Jack, Ava, Henry, Aria, and Abigail. \"it is not the case that ((Jackson is an egoist and Abigail is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1582, \"statements\": [[\"not\", [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 8], [\"lying\", 6], [\"lying\", 8]], [\"->\", [\"lying\", 4], [\"lying\", 6]], [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 0], [\... | {"split": "train", "index": 19360} |
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: Evelyn, Daniel, Olivia, Isabella, Emma, Aurora, Jack, Mason, and David. Evelyn told you that if ((Emma is a sage) if and only if Mason is a fool) then ((Da... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1583, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"lying\", 4]], [\"lying\", 7]], [\"and\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 8]], [\"lying\", 1], [\"and\", [\"telling-truth\", 5], [\"lying\", 4], [\"telling-tr... | {"split": "train", "index": 19361} |
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, Chloe, Scarlett, Aurora, Zoey, Joseph, Jack, Harper, and Jackson. \"it is not the case that (if (Jack is a saint and Harper is a sinner and Sc... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1584, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 6], [\"lying\", 7], [\"telling-truth\", 2]], [\"telling-truth\", 5]]], [\"->\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 8], [\"telling-trut... | {"split": "train", "index": 19362} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Zoey, Jacob, Jackson, Ava, Mason, Ethan, Aria, Owen, and Alexander. Zoey commented, \"(if Mason is a pioneer then Jacob is a laggard) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1585, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"telling-truth\", 0]], [\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 7]]], [\"->\", [\"lying\", 0], [\"... | {"split": "train", "index": 19363} |
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, Logan, Scarlett, Oliver, Luke, Lily, Victoria, Samuel, and Liam. Evelyn asserted: \"((Samuel is a knight or Logan is a knight or Luke is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1586, \"statements\": [[\"or\", [\"or\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"not\", [\"<=>\", [\"lying\", 7], [\"ly... | {"split": "train", "index": 19364} |
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: Jackson, Alexander, Jacob, Sofia, Aria, Amelia, Abigail, Olivia, and Penelope. \"((if Amelia is a saint then Penelope is a saint) or (Jacob is a sinn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1587, \"statements\": [[\"and\", [\"or\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 7]]], [\"or\", [\"<=>\", [\"telling-truth\", ... | {"split": "train", "index": 19365} |
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, Jacob, Logan, Zoey, James, Liam, Lucas, Jackson, and Avery. Victoria said, \"if (it is not the case that (Zoey is a pioneer or Lucas ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1588, \"statements\": [[\"->\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 6], [\"telling-truth\", 1]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"telling-truth\... | {"split": "train", "index": 19366} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Evelyn, Logan, Lucas, Grace, Mia, James, Oliver, Amelia, and Aurora. \"(it is not the case that (Lucas is a saint and Oliver is a sinner)) and Oliver... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1589, \"statements\": [[\"and\", [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 6]]], [\"telling-truth\", 6], [\"->\", [\"lying\", 6], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 5], [\"lying\", 3], [\"lying\... | {"split": "train", "index": 19367} |
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: Victoria, Noah, Harper, Luke, Samuel, Mia, Aiden, Sophia, and Alexander. \"(Noah is a knave) if and only if (Luke is a knight and (Samuel is a knight... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1590, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]]]], [\"telling-truth\", 5], [\"<=>\", [\"and\", [\"or\", [\"telling-truth\"... | {"split": "train", "index": 19368} |
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, Ava, Evelyn, Emily, Abigail, Victoria, Emma, Lily, and Penelope. \"if (if (Penelope is an altruist and Emma is an altruist) then (Ava ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1591, \"statements\": [[\"->\", [\"->\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 1], [\"lying\", 6]]], [\"not\", [\"not\", [\"lying\", 4]]]], [\"or\", [\"<=>\", [\"lying\", 6], [... | {"split": "train", "index": 19369} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Harper, Liam, Sofia, Logan, Mia, Henry, Aiden, Ella, and Daniel. Harper remarked, \"(if (if Henry is a sinner then Ella is a sinner) then (Sofia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1592, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"lying\", 5], [\"lying\", 7]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"lying\", 5]], [\"telling-truth\", 7], [\"or\", [\"lying\", 1], [\"t... | {"split": "train", "index": 19370} |
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: Luke, Lucas, Isabella, Elizabeth, Olivia, David, Chloe, Jack, and Abigail. Luke said, \"(it is not the case that (Abigail is a sage or Lucas is a sage or O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1593, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 1], [\"lying\", 4]]], [\"telling-truth\", 7], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"->\", [\"->\", [\"t... | {"split": "train", "index": 19371} |
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, Evelyn, Ava, Jackson, Elizabeth, Owen, Luke, Avery, and Emma. In Henry's words: \"if ((Luke is a knave or Ava is a knave or Owen is a knave) i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1594, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"lying\", 6], [\"lying\", 2], [\"lying\", 5]], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"or\", [\"->\", [\"lying\", 1], [\"lying\", 5]], [\"<=>\", [\"lying\", 6]... | {"split": "train", "index": 19372} |
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, Oliver, Daniel, Penelope, Mason, Evelyn, Matthew, Samuel, and Avery. Noah stated, \"Mason is a knave or ((Mason is a knight) or (Avery is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1595, \"statements\": [[\"or\", [\"lying\", 4], [\"or\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 7], [\"lying\", 1]]], [\"and\", [\"<=>\", [\"lying\", ... | {"split": "train", "index": 19373} |
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: Mason, Jack, Victoria, Amelia, Grace, Joseph, Alexander, Penelope, and Emma. Mason said, \"(if (if Victoria is a laggard then Jack is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1596, \"statements\": [[\"and\", [\"->\", [\"->\", [\"lying\", 2], [\"lying\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 8]]], [\"telling-truth\", 2]], [\"and\", [\"or\", [\"lying\", 4], [\"->\", [\"telling-truth\", 1... | {"split": "train", "index": 19374} |
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: Sebastian, Avery, Abigail, Harper, Victoria, Owen, Jacob, Lily, and Emma. Sebastian expressed that it is not the case that (it is not the case that (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1597, \"statements\": [[\"not\", [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]]]], [\"lying\", 0], [\"<=>\", [\"lying\", 5], [\"lying\", 1]], [\"lying\", 8], [\"->\", [\"or\", [\"<=>\", [\"lying\", 1], [\"telling-t... | {"split": "train", "index": 19375} |
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, Oliver, Logan, Liam, Mia, Emily, Charlotte, Sophia, and Ella. In a statement by James: \"(it is not the case that (Emily is a villain if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1598, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"lying\", 5], [\"lying\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 3]]], [\"<=>\", [\"lying\", 5], [\"and\", [\"lying\", 7], [\"telling-truth\"... | {"split": "train", "index": 19376} |
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: Zoey, Liam, Aurora, Noah, Avery, Daniel, Evelyn, Joseph, and Aiden. As Zoey put it, \"it is not the case that (if (Joseph is a devil and Avery is a dev... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1599, \"statements\": [[\"not\", [\"->\", [\"and\", [\"lying\", 7], [\"lying\", 4], [\"telling-truth\", 5]], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 6], [\"telling-truth\", 7]]... | {"split": "train", "index": 19377} |
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: Harper, Lucas, Grace, Owen, Charlotte, Ava, Ethan, Jackson, and Aria. \"Aria is an egoist,\" Harper claimed. Lucas stated, \"(if (if Ava is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1600, \"statements\": [[\"lying\", 8], [\"and\", [\"->\", [\"->\", [\"lying\", 5], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 7], [\"lying\", 8]]], [\"or\", [\"or\", [\"lying\", 3], [\"lying\", 6], [\"telling-truth\... | {"split": "train", "index": 19378} |
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: Daniel, Olivia, Riley, Luke, Owen, Sofia, Grace, Lucas, and Mason. Daniel told you that it is not the case that (it is not the case that (if Ri... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1601, \"statements\": [[\"not\", [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]]], [\"or\", [\"not\", [\"not\", [\"telling-truth\", 5]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"or\", [\"lyin... | {"split": "train", "index": 19379} |
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: Riley, Sebastian, Mia, Jack, Charlotte, Noah, Daniel, James, and Mason. \"if ((Mia is a sage) or (Riley is a sage and Mia is a fool and Mia is a sage and D... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1602, \"statements\": [[\"->\", [\"or\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 7], [\"lying\", 4]]], [\"<=>\... | {"split": "train", "index": 19380} |
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, Sofia, Isabella, Jackson, Michael, Noah, Mia, Ethan, and Luke. According to Henry, \"(Jackson is a pioneer) if and only if ((Michael is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1603, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 3]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 2], [\"lying\", 4]]]], [\"or\", [\"lying\", 0], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"tellin... | {"split": "train", "index": 19381} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Lily, Avery, Joseph, Emily, Benjamin, Aurora, Sebastian, Ava, and Alexander. Lily said that (it is not the case that (Lily is a sage or Emily is a fool or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1604, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 8]]], [\"or\", [\"and\", [\"lying\", 1], [\"lying\", 2], [\"lying\", 8], [\"lying\", 6]], [\"->\", [\"lying\", 4],... | {"split": "train", "index": 19382} |
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, Luke, Sebastian, Joseph, Avery, Samuel, Elizabeth, David, and Grace. \"Joseph is a fool if and only if ((if Grace is a sage then Joseph is a sage) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1605, \"statements\": [[\"<=>\", [\"lying\", 3], [\"and\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 8]], [\"or\", [\... | {"split": "train", "index": 19383} |
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, Sophia, Aria, Abigail, Lucas, Emily, Oliver, Riley, and Emma. Scarlett asserted: \"((Abigail is an angel or Emma is a devil) and (Lucas is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1606, \"statements\": [[\"and\", [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 8]], [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 6], [\"lying\", 5], [\"lying\", 7]]], [\"<=>\", [\"or\", [\"lying\", 2], [\"t... | {"split": "train", "index": 19384} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Aiden, Charlotte, Emily, Sophia, Aria, Victoria, Ethan, Mason, and Evelyn. Aiden expressed that Evelyn is a pioneer. Charlotte told you that ((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1607, \"statements\": [[\"not\", [\"lying\", 8]], [\"and\", [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"not\", [\"lying\", 8]], [\"or\", [\"lying\", 5], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", ... | {"split": "train", "index": 19385} |
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, Isabella, James, Lily, Noah, Mason, Elizabeth, David, and Evelyn. Sebastian stated, \"((Isabella is a villain if and only if Evelyn is a h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1608, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 8]], [\"lying\", 5]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 6], [\"telling-truth\", 7], [\"lying\", 2]], [\"<=>\", [\"tel... | {"split": "train", "index": 19386} |
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, Zoey, Oliver, Alexander, Michael, Benjamin, Logan, Lucas, and Scarlett. \"it is not the case that (if (Lucas is a sage and Scarlett is a fool and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1609, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 7], [\"lying\", 8], [\"lying\", 1]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 5]]]], [\"telling-truth\", 3], [\"and\", [\"<=>\", [\"lying\", ... | {"split": "train", "index": 19387} |
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, Charlotte, Emma, Aiden, Luke, Aurora, Grace, Abigail, and Jack. Michael was heard saying, \"(it is not the case that (Charlotte is a saint i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1610, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"not\", [\"lying\", 2]]], [\"and\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 6]], [\"not\",... | {"split": "train", "index": 19388} |
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, Ava, Aria, Oliver, Aurora, Scarlett, Riley, Liam, and Luke. In a statement by Zoey: \"if ((Luke is a sinner if and only if Luke is a saint) if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1611, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 6], [\"lying\", 3]], [\"and\", [\"telling-... | {"split": "train", "index": 19389} |
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, Aiden, Elizabeth, Benjamin, Alexander, Matthew, Aurora, Zoey, and Scarlett. Aria told you that (Zoey is a villain if and only if (Scarlett is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1612, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 7], [\"not\", [\"lying\", 8]]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"lying\", 5], [\"lying\", 2]]], [\"not\", [\"not\", [\"lying\", 8]]]], [\"and\", [\"... | {"split": "train", "index": 19390} |
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: Scarlett, Amelia, Aiden, Noah, Alexander, Grace, Zoey, Abigail, and Aria. Scarlett told you that ((Abigail is an egoist or Grace is an egoist o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1613, \"statements\": [[\"or\", [\"or\", [\"or\", [\"lying\", 7], [\"lying\", 5], [\"lying\", 6], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 8], [\"lying\", ... | {"split": "train", "index": 19391} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Matthew, Sophia, Ella, Emily, Owen, Ava, Chloe, Harper, and Jackson. Matthew remarked, \"Ella is a sage or Sophia is a sage\". Sophia noted, \"it is not th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1614, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"or\", [\"telling-truth\", 5], [\"not\", [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 2], [\"lying\... | {"split": "train", "index": 19392} |
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, Zoey, Abigail, Sebastian, Ella, Joseph, Lily, Liam, and Charlotte. Penelope said that Ella is a villain. In a statement by Zoey: \"((Joseph... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1615, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"or\", [\"not\", [\"lying\", 5]], [\"->\", [\"lying\", 4], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"telling-truth\... | {"split": "train", "index": 19393} |
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, Jackson, Daniel, Ethan, Lucas, Ella, Mia, Abigail, and Matthew. Logan said, \"Abigail is a fool.\" According to Jackson, \"Lucas is a fool\". Daniel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1616, \"statements\": [[\"lying\", 7], [\"lying\", 4], [\"and\", [\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"or\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"lying\", 8], [\"<=>\", [\"or\", [\"telling-truth\", 6],... | {"split": "train", "index": 19394} |
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: Penelope, Mia, Daniel, Chloe, Aurora, David, Aria, Samuel, and Luke. In a statement by Penelope: \"Aurora is a fool and ((Luke is a sage or Daniel is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1617, \"statements\": [[\"and\", [\"lying\", 4], [\"or\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"lying\", 7], [\"lying\", 3]]], [\"and\", [\"<=>... | {"split": "train", "index": 19395} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: James, Scarlett, Ella, Luke, Samuel, Alexander, William, Avery, and Logan. James remarked, \"((Luke is an altruist if and only if Alexander is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1618, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 5]], [\"or\", [\"telling-truth\", 2], [\"lying\", 6]], [\"<=>\", [\"lying\", 1], [\"lying\", 2]]], [\"<=>\", [\"lying\", 5], [\"and\", [\"t... | {"split": "train", "index": 19396} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Abigail, Ella, Logan, Jackson, Owen, Sebastian, Charlotte, Benjamin, and James. Abigail noted, \"((Benjamin is a saint if and only if Logan is a sinn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1619, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 2]], [\"or\", [\"lying\", 8], [\"lying\", 7]]], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 7], [\"lying\", 7]], [\"and\", [\"... | {"split": "train", "index": 19397} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Michael, Avery, Jackson, Chloe, Lucas, David, Ava, Aria, and Jacob. \"Ava is a laggard and (if (if Lucas is a laggard then Jacob is a pioneer) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1620, \"statements\": [[\"and\", [\"lying\", 6], [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 5]]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 6], [\"lying\", 2], [\"lyi... | {"split": "train", "index": 19398} |
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: Riley, Luke, Olivia, Aiden, Chloe, Henry, Avery, James, and Joseph. Riley expressed that (Olivia is a devil or James is a devil) if and only if ((James... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1621, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 2], [\"lying\", 7]], [\"or\", [\"and\", [\"lying\", 7], [\"lying\", 8], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 0]], [\"telling-truth\", 0], ... | {"split": "train", "index": 19399} |
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