data_source stringclasses 1
value | prompt stringlengths 948 4.18k | ability stringclasses 1
value | reward_model stringlengths 1.89k 8.09k | extra_info stringlengths 30 34 |
|---|---|---|---|---|
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Lily, Emily, Matthew, Olivia, Luke, Aria, Zoey, Victoria, and Riley. Lily noted, \"Victoria is a hero if and only if (Lily is a villain)\". \"Victori... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 444, \"statements\": [[\"<=>\", [\"telling-truth\", 7], [\"not\", [\"telling-truth\", 0]]], [\"telling-truth\", 7], [\"->\", [\"or\", [\"lying\", 3], [\"<=>\", [\"lying\", 3], [\"lying\", 6]], [\"not\", [\"lying\", 5]]], [\"no... | {"split": "train", "index": 16000} |
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, David, Avery, Zoey, Mia, Charlotte, Evelyn, James, and Sofia. Ethan told you that it is not the case that (Sofia is a laggard and (Evely... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 445, \"statements\": [[\"not\", [\"and\", [\"lying\", 8], [\"not\", [\"lying\", 6]], [\"or\", [\"lying\", 4], [\"lying\", 2]]]], [\"and\", [\"not\", [\"or\", [\"lying\", 6], [\"telling-truth\", 6], [\"telling-truth\", 7]]], [\... | {"split": "train", "index": 16001} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Riley, Matthew, Aiden, Jack, Alexander, Scarlett, Abigail, Amelia, and Oliver. According to Riley, \"((Scarlett is a hero or Alexander is a hero) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 446, \"statements\": [[\"and\", [\"or\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"<=>\", [\"tel... | {"split": "train", "index": 16002} |
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: David, Evelyn, Joseph, Benjamin, Jack, Logan, Mason, Owen, and Harper. David said that (if (Benjamin is an angel if and only if Jack is an angel) then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 447, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"lying\", 4]], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 7]], [\"and\", [\"lying\", 5],... | {"split": "train", "index": 16003} |
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, Lily, Olivia, Aria, Jack, Emma, Ava, Luke, and Amelia. In Sophia's words: \"((if Amelia is an angel then Luke is an angel) if and only if (Ava ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 448, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 1]]], [\"telling-truth\", 8], [\"telling-truth\", 0]], [\"and\", [\"and\"... | {"split": "train", "index": 16004} |
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: Lucas, Sebastian, Ava, Samuel, Joseph, Owen, Michael, Jackson, and Emily. \"(it is not the case that (Owen is a sinner)) or (if Owen is a saint then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 449, \"statements\": [[\"or\", [\"not\", [\"not\", [\"telling-truth\", 5]]], [\"->\", [\"telling-truth\", 5], [\"or\", [\"lying\", 1], [\"telling-truth\", 8]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]... | {"split": "train", "index": 16005} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Sophia, Elizabeth, Logan, Sofia, Aiden, Ethan, Luke, Avery, and Penelope. Sophia noted, \"((if Luke is a knight then Ethan is a knave) or Ethan is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 450, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 6], [\"lying\", 5]], [\"lying\", 5], [\"->\", [\"lying\", 5], [\"lying\", 6]]], [\"not\", [\"not\", [\"lying\", 8]]]], [\"telling-truth\", 0], [\"not\", [\"... | {"split": "train", "index": 16006} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Emily, Aurora, Isabella, David, Harper, Elizabeth, Sebastian, Scarlett, and Alexander. As Emily put it, \"Harper is an angel\". \"Harper is an angel\" ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 451, \"statements\": [[\"telling-truth\", 4], [\"telling-truth\", 4], [\"telling-truth\", 8], [\"not\", [\"telling-truth\", 7]], [\"telling-truth\", 3], [\"telling-truth\", 3], [\"not\", [\"lying\", 4]], [\"or\", [\"or\", [\"o... | {"split": "train", "index": 16007} |
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, Elizabeth, Harper, Luke, Sebastian, Logan, Lucas, Michael, and Chloe. Emily noted, \"Luke is an altruist if and only if ((Harper is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 452, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 5]]]], [\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 4... | {"split": "train", "index": 16008} |
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, Daniel, Joseph, Noah, Aria, Logan, Benjamin, Harper, and Lucas. \"it is not the case that ((if Daniel is a hero then Benjamin is a villain) an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 453, \"statements\": [[\"not\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 6]], [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]]], [\"->\", [\"<=>\", [\"or\", [\"lying\",... | {"split": "train", "index": 16009} |
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: Scarlett, Sebastian, Liam, David, Riley, Lily, Zoey, Ava, and Noah. \"((Ava is a knave) if and only if (Zoey is a knave)) or (it is not the case that... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 454, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 6]]], [\"not\", [\"or\", [\"lying\", 3], [\"lying\", 7], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"lying\", 8]], [... | {"split": "train", "index": 16010} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Amelia, Riley, Owen, Logan, Mia, Matthew, Olivia, Grace, and Michael. Amelia commented, \"Riley is an altruist\". According to Riley, \"Olivia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 455, \"statements\": [[\"not\", [\"lying\", 1]], [\"telling-truth\", 6], [\"and\", [\"telling-truth\", 3], [\"or\", [\"lying\", 3], [\"lying\", 6], [\"not\", [\"lying\", 8]]], [\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"or... | {"split": "train", "index": 16011} |
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, Emily, Jack, Liam, Daniel, Elizabeth, Harper, Zoey, and Joseph. Sofia remarked, \"(if (Liam is a fool and Daniel is a sage) then (Sofia is a sage an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 456, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 7]]], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 8]], [\"not\", [\"... | {"split": "train", "index": 16012} |
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, Abigail, Lily, Grace, Sofia, Zoey, David, Lucas, and Benjamin. In Aiden's words: \"(if (if Sofia is a saint then Zoey is a sinner) then (Lily ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 457, \"statements\": [[\"or\", [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 5]], [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 1]], [\"<=>\"... | {"split": "train", "index": 16013} |
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, Luke, Sebastian, Alexander, Ethan, Joseph, Zoey, Abigail, and Jackson. Evelyn said that if ((Ethan is a sinner and Abigail is a sinner) and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 458, \"statements\": [[\"->\", [\"and\", [\"and\", [\"lying\", 4], [\"lying\", 7]], [\"->\", [\"telling-truth\", 1], [\"lying\", 8]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 5]]], [\"or\", [\"->\", [\"telling-tru... | {"split": "train", "index": 16014} |
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: Zoey, Chloe, Penelope, Joseph, Avery, William, Samuel, Emma, and Alexander. Zoey stated, \"if ((Joseph is a hero) or (if Chloe is a villain then Pene... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 459, \"statements\": [[\"->\", [\"or\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 2]], [\"not\", [\"lying\", 5]], [\"->\... | {"split": "train", "index": 16015} |
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, Lucas, Liam, Henry, Sophia, Alexander, Scarlett, Sebastian, and Harper. In a statement by Joseph: \"((Henry is an altruist and Henry is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 460, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 7]], [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 5]]], [\"or\", [\"<=>\", [\"telling-truth... | {"split": "train", "index": 16016} |
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: Owen, Lucas, Isabella, Ethan, Harper, Penelope, Mia, Ella, and Victoria. Owen was heard saying, \"Ethan is a sinner\". Lucas told you that (it is not... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 461, \"statements\": [[\"lying\", 3], [\"or\", [\"not\", [\"and\", [\"lying\", 0], [\"lying\", 5]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 8], [\"lying\", 4]], [\"lying\", 5]]], [\"or\", [\"telling-truth\", 1], [\"and... | {"split": "train", "index": 16017} |
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: Samuel, Luke, James, Benjamin, Daniel, Riley, Oliver, Harper, and Abigail. According to Samuel, \"if ((if Benjamin is an egoist then Benjamin i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 462, \"statements\": [[\"->\", [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"lying\", 3], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"<=>\", [\"lying\", 1], [\"or\", [\"telling-truth\", 6], [\... | {"split": "train", "index": 16018} |
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, Riley, Victoria, Noah, Avery, Evelyn, Zoey, Aria, and Luke. Abigail stated, \"Avery is an altruist\". \"Zoey is an altruist and (it is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 463, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"telling-truth\", 6], [\"not\", [\"and\", [\"telling-truth\", 7], [\"lying\", 5]]], [\"not\", [\"and\", [\"lying\", 5], [\"telling-truth\", 6], [\"lying\", 0]]]], [\"no... | {"split": "train", "index": 16019} |
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, Isabella, Samuel, Aiden, Elizabeth, Jacob, Ethan, Daniel, and Abigail. William was heard saying, \"(William is a sinner) if and only if (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 464, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"or\", [\"telling-truth\", 7], [\"lying\", 1], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]]]], [\"or\", [\"telling-truth\", 2], [\"<=>... | {"split": "train", "index": 16020} |
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: Isabella, Noah, Elizabeth, Matthew, Oliver, Aiden, Samuel, Jack, and Abigail. Isabella asserted: \"((Elizabeth is a sinner) and (Aiden is a saint if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 465, \"statements\": [[\"and\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 6]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 8], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"t... | {"split": "train", "index": 16021} |
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: Penelope, David, Sophia, Zoey, Grace, Mason, Aurora, Aiden, and Sebastian. Penelope said that (it is not the case that (Penelope is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 466, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 6], [\"telling-truth\", 5]]], [\"and\", [\"and\", [\"lying\", 8], [\"telling-truth\", 7], [\"lying\", 3]], [\"telling-truth\", 5], ... | {"split": "train", "index": 16022} |
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: William, Emily, Henry, Chloe, Sophia, Scarlett, Logan, Ava, and Jacob. William remarked, \"Jacob is a knave\". \"(Ava is a knave and (Logan is a knig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 467, \"statements\": [[\"lying\", 8], [\"and\", [\"and\", [\"lying\", 7], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 5]], [\"->\", [\"lying\", 3], [\"lying\", 5]]], [\"and\", [\"not\", [\"lying\", 4]], [\"and\", [\"... | {"split": "train", "index": 16023} |
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, Henry, Lucas, Jackson, Emily, Elizabeth, Alexander, and Zoey. Mia said that if ((Alexander is an egoist if and only if Jackson is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 468, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"lying\", 7], [\"lying\", 4]], [\"lying\", 1]], [\"or\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 4]]]], [\"not\", [\"telling-truth\", 7]], [... | {"split": "train", "index": 16024} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Riley, Abigail, Sebastian, Scarlett, Chloe, Avery, Emma, Jacob, and Grace. Riley remarked, \"(if (Emma is a villain) then (Jacob is a villain or Jaco... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 469, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 6]], [\"or\", [\"lying\", 7], [\"telling-truth\", 7]]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 6]], [\"not\... | {"split": "train", "index": 16025} |
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: Benjamin, Lily, Aiden, Daniel, Scarlett, Ava, Logan, Mia, and William. Benjamin remarked, \"(it is not the case that (William is a pioneer if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 470, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4]... | {"split": "train", "index": 16026} |
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, Benjamin, Avery, Harper, Abigail, Ava, Zoey, Henry, and Joseph. Victoria remarked, \"Abigail is an egoist\". Benjamin said, \"(Harper... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 471, \"statements\": [[\"lying\", 4], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 7]]], [\"telling-truth\", 2], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"or... | {"split": "train", "index": 16027} |
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, Victoria, Chloe, Henry, Harper, Mason, Olivia, Elizabeth, and Owen. Oliver stated, \"Henry is a sinner\". \"Henry is a saint,\" Victoria decl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 472, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 3], [\"lying\", 4], [\"not\", [\"lying\", 6]], [\"->\", [\"->\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 8], [\"telling-truth\", 0]], [... | {"split": "train", "index": 16028} |
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: Zoey, Matthew, Charlotte, Jack, Victoria, Henry, Abigail, Alexander, and Chloe. Zoey commented, \"if ((Chloe is a hero or Victoria is a villain) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 473, \"statements\": [[\"->\", [\"and\", [\"or\", [\"telling-truth\", 8], [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"lying\", 7]], [\"->\", [\"lying\", 5], [\"telling-truth\", 2]]], [\"and\", [\"telling-truth\", 0], [\"<=>\... | {"split": "train", "index": 16029} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Luke, Sophia, Riley, Daniel, Jack, Abigail, Henry, Owen, and Zoey. Luke said, \"it is not the case that (Jack is a hero if and only if Jack is a vill... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 474, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"->\", [\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 0]], [\"and\... | {"split": "train", "index": 16030} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Chloe, William, Charlotte, Victoria, Aria, Jackson, Henry, Lucas, and Abigail. Chloe was heard saying, \"(Aria is a hero or (Charlotte is a hero or L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 475, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 7]]], [\"and\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 6], [\"lying\", 5]], [\"not\", [\"lying... | {"split": "train", "index": 16031} |
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, Victoria, Luke, Scarlett, Chloe, Sophia, Daniel, Abigail, and Jacob. \"((Luke is a sinner if and only if Abigail is a sinner) if and only if (A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 476, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 7]], [\"and\", [\"telling-truth\", 7], [\"lying\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 7]... | {"split": "train", "index": 16032} |
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, Mason, David, Harper, Avery, Ava, Riley, Jack, and Liam. Joseph told you that Harper is a saint or (it is not the case that (Avery is a sinne... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 477, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"not\", [\"and\", [\"lying\", 4], [\"lying\", 5], [\"telling-truth\", 2]]]], [\"<=>\", [\"and\", [\"lying\", 8], [\"or\", [\"lying\", 0], [\"telling-truth\", 8], [\"tell... | {"split": "train", "index": 16033} |
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, Daniel, Amelia, Joseph, William, Mia, Ethan, Abigail, and Mason. In a statement by Charlotte: \"it is not the case that ((Abigail is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 478, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"lying\", 7], [\"lying\", 5], [\"lying\", 1]], [\"not\", [\"lying\", 4]]]], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 5], [\"lying\", 3], [\"l... | {"split": "train", "index": 16034} |
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, Harper, Henry, Jacob, James, Lily, William, Charlotte, and David. In Jack's words: \"William is an altruist or (if David is an egoist the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 479, \"statements\": [[\"or\", [\"telling-truth\", 6], [\"->\", [\"lying\", 8], [\"telling-truth\", 7]]], [\"->\", [\"and\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 8], [\"telling-truth... | {"split": "train", "index": 16035} |
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, Daniel, Liam, Sofia, Grace, Aurora, Alexander, Ethan, and Avery. Evelyn said, \"Ethan is a knave.\" Daniel said that ((Evelyn is a knight) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 480, \"statements\": [[\"lying\", 7], [\"or\", [\"or\", [\"not\", [\"lying\", 0]], [\"and\", [\"lying\", 6], [\"lying\", 0], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 7]]]], [\"->\", [\"->\", [\"telling... | {"split": "train", "index": 16036} |
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, Aria, Abigail, Jackson, Owen, Sophia, Michael, Aiden, and Emily. Mason told you that Michael is a sage. According to Aria, \"if ((Jackson is a sage ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 481, \"statements\": [[\"telling-truth\", 6], [\"->\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 3]]], [\"and\", [\"and\", ... | {"split": "train", "index": 16037} |
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, Olivia, Ella, Logan, Aiden, Michael, Grace, Victoria, and Ava. In a statement by Avery: \"Aiden is a hero and (Aiden is a villain or (if Avery... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 482, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"or\", [\"lying\", 4], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 6]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 8]], [\"or\", [\... | {"split": "train", "index": 16038} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Luke, Aurora, Daniel, Alexander, Harper, Chloe, Emily, Zoey, and Joseph. As Luke put it, \"((Aurora is a villain) or Chloe is a villain or (Joseph is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 483, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"lying\", 5], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"lying\", 8], [\"lying\", 2], [\"telling-truth\", 3]], [\"or\"... | {"split": "train", "index": 16039} |
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, Michael, David, Avery, Benjamin, Ava, Noah, Mia, and Victoria. \"Benjamin is a sage or (Victoria is a fool) or ((Noah is a sage and Mia is a sage ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 484, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 8]], [\"or\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 7], [\"lying\", 5]], [\"or\", [\"lying\", 5], [\"telling-truth\", 8], [\"... | {"split": "train", "index": 16040} |
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, Ella, Lily, Jacob, Samuel, Emma, Chloe, Lucas, and Owen. According to Matthew, \"Samuel is a pioneer\". \"Matthew is a laggard or (it ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 485, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"lying\", 0], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]]]], [\"->\", [\"->\", [\"and\", [\"telling-truth\", 6], [\"lying\", 0], [\"telling-truth\", 4]],... | {"split": "train", "index": 16041} |
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: Lily, Mason, Aria, Joseph, Oliver, Jack, William, Sebastian, and Luke. Lily told you that it is not the case that (it is not the case that (Aria is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 486, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 7]]]], [\"->\", [\"or\", [\"lying\", 2], [\"or\", [\"lying\", 7], [\"telling-truth\", 5], [\"telling-truth\", 7]]], [\"or\", [\"<=>\", [\"... | {"split": "train", "index": 16042} |
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, William, Penelope, Matthew, Henry, Noah, Liam, Chloe, and James. \"Henry is a knave,\" Samuel declared. \"if (it is not the case that (Willia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 487, \"statements\": [[\"lying\", 4], [\"->\", [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"lying\", 0], [\"or\", [\"lying\", 3], [\"telling-truth\", 3], [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"lying... | {"split": "train", "index": 16043} |
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, Avery, Ava, Penelope, Logan, Charlotte, Sophia, Oliver, and Jacob. \"((Logan is a saint or Logan is a sinner or Ava is a saint) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 488, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 2]], [\"telling-truth\", 5]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"and\", [\"lying... | {"split": "train", "index": 16044} |
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, Scarlett, Jackson, Aria, Mia, Liam, Riley, Ethan, and Benjamin. Joseph remarked, \"if ((Mia is a saint or Aria is a sinner) and (Liam is a si... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 489, \"statements\": [[\"->\", [\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 5]]], [\"lying\", 5]], [\"->\", [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 6], [\"telling-tru... | {"split": "train", "index": 16045} |
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, Grace, Lily, Sofia, Riley, Elizabeth, Owen, Zoey, and Aria. William noted, \"(if (Aria is a sinner if and only if Sofia is a saint) then Eli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 490, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 3]], [\"lying\", 5]], [\"and\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 8], [\"lying\", 4]], [\"->\", [\"lying\", 8], [\"lying\", 2... | {"split": "train", "index": 16046} |
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: Isabella, Noah, Luke, Michael, Logan, Jackson, David, Samuel, and Henry. Isabella commented, \"if (Noah is a saint or (Samuel is a saint and Samuel i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 491, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 7], [\"lying\", 7], [\"lying\", 6]]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 8]], [\"not\", [\"lying\", 6]]]], [\"->... | {"split": "train", "index": 16047} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Ella, Liam, Chloe, Michael, Isabella, David, Owen, Ava, and Jacob. Ella told you that it is not the case that ((Jacob is a knave if and only if Micha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 492, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth\", 8], [\"telling-truth\", 1]]]], [\"telling-truth\", 0], [\"or\", [\"->\", [\"or\", [\"lyin... | {"split": "train", "index": 16048} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Ethan, Sebastian, Daniel, Joseph, Avery, Oliver, Alexander, Sophia, and Logan. Ethan stated, \"((if Oliver is a sage then Sophia is a sage) or Daniel is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 493, \"statements\": [[\"or\", [\"or\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 7]], [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 6]]], [\"not\", [\"->\", [\"telling-truth\", 7], [\... | {"split": "train", "index": 16049} |
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, Joseph, Elizabeth, Aria, Ella, Oliver, Ava, William, and Jacob. As Isabella put it, \"if ((Oliver is a fool if and only if Ella is a sage) or Wil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 494, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 4]], [\"lying\", 7]], [\"not\", [\"->\", [\"telling-truth\", 7], [\"lying\", 2]]]], [\"->\", [\"->\", [\"and\", [\"telling-truth\", 8], [\"t... | {"split": "train", "index": 16050} |
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: Henry, Sophia, Owen, Emily, James, Mason, Samuel, Aiden, and Noah. Henry commented, \"(it is not the case that (Samuel is a fool)) if and only if (Samuel i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 495, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 6]]], [\"not\", [\"lying\", 6]]], [\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"not\", [\"lying\", 0]]], [\"->\", [\"an... | {"split": "train", "index": 16051} |
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: Jack, Victoria, Zoey, William, Harper, Lucas, Evelyn, Chloe, and Owen. Jack asserted: \"(Chloe is a hero) and ((Zoey is a villain) or (William is a h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 496, \"statements\": [[\"and\", [\"not\", [\"lying\", 7]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 3], [\"lying\", 7]]]], [\"lying\", 4], [\"<=>\", [\"->\", [\"->\", [\"lying\", 3], [\"telling... | {"split": "train", "index": 16052} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Scarlett, Owen, Riley, Elizabeth, Michael, Penelope, Lucas, Charlotte, and Aiden. Scarlett said that it is not the case that ((if Riley is a villain ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 497, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]]]], [\"lying\", 3], [\"not\", [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"<=>\", [\"lying\... | {"split": "train", "index": 16053} |
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: Amelia, Sophia, Aria, William, Michael, Ava, James, Oliver, and Sebastian. Amelia asserted: \"(it is not the case that (Sebastian is a laggard ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 498, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"lying\", 8], [\"lying\", 3]]], [\"telling-truth\", 6]], [\"or\", [\"->\", [\"and\", [\"telling-truth\", 7], [\"lying\", 0], [\"lying\", 5]], [\"or\", [\"telling-truth\", 0... | {"split": "train", "index": 16054} |
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: Ethan, Luke, Penelope, Benjamin, Avery, Evelyn, Daniel, William, and Elizabeth. \"it is not the case that ((Penelope is an angel or Daniel is an angel ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 499, \"statements\": [[\"not\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 6], [\"lying\", 2]], [\"and\", [\"telling-truth\", 3], [\"lying\", 6]]]], [\"or\", [\"->\", [\"not\", [\"lying\", 7]], [\"not\", [\"... | {"split": "train", "index": 16055} |
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, Jack, Jacob, Victoria, David, Luke, Abigail, Olivia, and Lucas. \"if (Abigail is a saint or (Olivia is a saint if and only if Emily is a saint... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 500, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 6], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 0]]]... | {"split": "train", "index": 16056} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Luke, Alexander, Daniel, Oliver, David, Jacob, Charlotte, Olivia, and Noah. Luke told you that if Oliver is a hero then Noah is a villain. Alexander ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 501, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"or\", [\"lying\", 4], [\"lying\", 0]], [\"lying\", 3]], [\"not... | {"split": "train", "index": 16057} |
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, Daniel, Samuel, Jack, Evelyn, Aria, Victoria, Olivia, and William. Liam said, \"((if Aria is a saint then Aria is a sinner) or William is a sin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 502, \"statements\": [[\"or\", [\"or\", [\"->\", [\"telling-truth\", 5], [\"lying\", 5]], [\"lying\", 8], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 8], [\"telling-truth\", 5]]], [\"not\", [\"->\", [\"lying\", 4], [... | {"split": "train", "index": 16058} |
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: Evelyn, Sebastian, Oliver, Sophia, Riley, Noah, Sofia, Isabella, and Amelia. Evelyn was heard saying, \"Sebastian is a devil and ((Riley is an angel or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 503, \"statements\": [[\"and\", [\"lying\", 1], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"or\", [\"lying\", 2], [\"lying\", 6]]]], [\"or\", [\"or\",... | {"split": "train", "index": 16059} |
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: Owen, Sophia, William, Daniel, Avery, Emily, Ava, Benjamin, and Noah. Owen remarked, \"Noah is a sinner\". \"Noah is a sinner,\" Sophia claimed. In a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 504, \"statements\": [[\"lying\", 8], [\"lying\", 8], [\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 4]]]], [\"or\", [\"not\", [\"<=>\", [\"l... | {"split": "train", "index": 16060} |
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, Jack, Isabella, Sofia, Elizabeth, Mia, Emily, Sebastian, and Alexander. \"Aria is a knight,\" Aria claimed. Jack was heard saying, \"if (Sebast... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 505, \"statements\": [[\"telling-truth\", 0], [\"->\", [\"and\", [\"telling-truth\", 7], [\"and\", [\"lying\", 0], [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 2]]]]... | {"split": "train", "index": 16061} |
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, Avery, Ella, Alexander, Grace, Isabella, Sebastian, Sofia, and Ava. \"((Avery is a pioneer or Sebastian is a laggard or Alexander is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 506, \"statements\": [[\"and\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 6], [\"lying\", 3]], [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 7]... | {"split": "train", "index": 16062} |
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: Liam, Scarlett, Alexander, Lily, Sebastian, Luke, Mason, Abigail, and Noah. Liam said that it is not the case that ((Noah is a knave and Scarlett is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 507, \"statements\": [[\"not\", [\"or\", [\"and\", [\"lying\", 8], [\"telling-truth\", 1], [\"lying\", 5]], [\"and\", [\"telling-truth\", 2], [\"lying\", 5], [\"lying\", 1]], [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]]],... | {"split": "train", "index": 16063} |
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, Abigail, Samuel, Aiden, Elizabeth, Michael, Riley, William, and Harper. \"it is not the case that ((if Abigail is a villain then Elizabeth is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 508, \"statements\": [[\"not\", [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 3]]], [\"-... | {"split": "train", "index": 16064} |
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: Mason, Evelyn, Ava, Owen, Henry, Jackson, Sebastian, Avery, and Amelia. \"(if (Jackson is a devil or Evelyn is an angel or Ava is an angel) then (if Ma... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 509, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"lying\", 5], [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 5]]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"->\"... | {"split": "train", "index": 16065} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Samuel, Daniel, Mia, Aiden, Sofia, James, Michael, Penelope, and Oliver. Samuel asserted: \"if ((Sofia is a hero and Daniel is a villain and James is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 510, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1], [\"lying\", 5]], [\"->\", [\"telling-truth\", 6], [\"lying\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 7], [\"lying\", 4], [\"telli... | {"split": "train", "index": 16066} |
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, Mia, Victoria, Isabella, Chloe, Owen, Aria, Lily, and Ella. According to Emily, \"((Victoria is a sinner if and only if Owen is a sinner) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 511, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 5]], [\"->\", [\"telling-truth\", 8], [\"lying\", 4]]], [\"not\", [\"->\", [\"telling-truth\", 5], [\"lying\", 1]]], [\"or\", [\"or\", [\"telling-t... | {"split": "train", "index": 16067} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Samuel, Scarlett, Aiden, Benjamin, Oliver, Sofia, Isabella, William, and Avery. Samuel was heard saying, \"it is not the case that ((Oliver is a vill... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 512, \"statements\": [[\"not\", [\"or\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]]]], [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 4]], [\"lying\",... | {"split": "train", "index": 16068} |
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, Charlotte, Lily, Mason, Elizabeth, Riley, Victoria, Abigail, and Evelyn. Michael remarked, \"it is not the case that ((Evelyn is an al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 513, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 3]]]], [\"and\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"... | {"split": "train", "index": 16069} |
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: David, Matthew, Evelyn, Henry, Mason, Grace, William, Noah, and Michael. David was heard saying, \"it is not the case that ((Michael is a saint) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 514, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"lying\", 8]], [\"not\", [\"lying\", 3]]]], [\"<=>\", [\"<=>\", [\"lying\", 8], [\"not\", [\"telling-truth\", 6]]], [\"lying\", 7]], [\"or\", [\"or\", [\"and\", [\"telling-... | {"split": "train", "index": 16070} |
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, Noah, Sophia, Penelope, Zoey, Lily, Sebastian, Logan, and Luke. In a statement by Liam: \"((if Logan is a saint then Sophia is a sinner) and (S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 515, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 7], [\"lying\", 2]], [\"and\", [\"lying\", 6], [\"lying\", 3], [\"telling-truth\", 0]], [\"not\", [\"lying\", 3]]], [\"or\", [\"telling-truth\", 6], [\"not... | {"split": "train", "index": 16071} |
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: William, Mason, Aria, Ava, Avery, Grace, Noah, Daniel, and Ethan. \"((Mason is a knave) if and only if (if Mason is a knave then Ethan is a knave)) i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 516, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"lying\", 1], [\"lying\", 8]]], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 5], [\"->\", [\"or\", [\"telling-truth\", 6], [\"tel... | {"split": "train", "index": 16072} |
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: Matthew, David, Evelyn, Chloe, Riley, Ella, Alexander, Jackson, and Henry. \"Riley is an altruist\" - Matthew. In David's words: \"(it is not t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 517, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"not\", [\"and\", [\"telling-truth\", 5], [\"lying\", 8], [\"telling-truth\", 2]]], [\"not\", [\"lying\", 8]], [\"or\", [\"lying\", 8], [\"or\", [\"lying\", 3], [\"telli... | {"split": "train", "index": 16073} |
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, Benjamin, Evelyn, Aiden, Chloe, Jack, Charlotte, Emma, and Lucas. \"Benjamin is a pioneer\" - Sophia. \"((Chloe is a pioneer if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 518, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 7]], [\"lyi... | {"split": "train", "index": 16074} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Oliver, Charlotte, Henry, Chloe, Benjamin, Sofia, Daniel, Grace, and Michael. Oliver expressed that it is not the case that (Chloe is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 519, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 3], [\"and\", [\"lying\", 4], [\"telling-truth\", 0]]]], [\"or\", [\"telling-truth\", 7], [\"or\", [\"telling-truth\", 7], [\"or\", [\"telling-truth\", 7], [\"lying... | {"split": "train", "index": 16075} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Riley, Avery, Logan, Jacob, Benjamin, Owen, Liam, Luke, and Lily. In a statement by Riley: \"((Jacob is a knave and Logan is a knave) or (Owen is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 520, \"statements\": [[\"or\", [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 2]], [\"not\", [\"lying\", 5]], [\"and\", [\"lying\", 7], [\"lying\", 3]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"->... | {"split": "train", "index": 16076} |
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, Grace, Sofia, Victoria, Evelyn, Joseph, Avery, Lucas, and Sebastian. James asserted: \"((Victoria is a villain) if and only if (Sofia is a her... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 521, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 2]]], [\"lying\", 7], [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"not\", [\"lying\",... | {"split": "train", "index": 16077} |
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: Logan, Sofia, Ava, Ella, Liam, Joseph, Daniel, Jack, and Oliver. In Logan's words: \"Ava is a sinner\". Sofia said that (if (if Logan is a saint then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 522, \"statements\": [[\"lying\", 2], [\"and\", [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 5], [\"lying\", 4]]], [\"lying\", 2], [\"->\", [\"not\", [\"telling-truth\", 7]],... | {"split": "train", "index": 16078} |
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, Samuel, Lily, Aurora, Avery, Owen, Zoey, Jack, and Elizabeth. Ethan noted, \"it is not the case that ((Avery is a laggard if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 523, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 1]], [\"not\", [\"telling-truth\", 1]]]], [\"and\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"lying\", 8]], [\"not\", ... | {"split": "train", "index": 16079} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Grace, Luke, Jacob, Zoey, Harper, Victoria, Sofia, Charlotte, and Sebastian. According to Grace, \"((Sofia is an altruist if and only if Victor... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 524, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 5]], [\"not\", [\"lying\", 2]]], [\"and\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 6], [\"t... | {"split": "train", "index": 16080} |
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, Alexander, Lucas, Henry, Emily, Luke, Amelia, Elizabeth, and Daniel. Ethan said that Henry is an egoist or ((if Lucas is an egoist then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 525, \"statements\": [[\"or\", [\"lying\", 3], [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 4]], [\"and\", [\"lying\", 2], [\"lying\", 1], [\"lying\", 5]]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], ... | {"split": "train", "index": 16081} |
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, Henry, Benjamin, Isabella, Jack, Aiden, Daniel, Zoey, and Victoria. Ella commented, \"(Zoey is a saint or (if Ella is a saint then Benjamin is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 526, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 7], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"lying\", 4]], [\"telling-truth\", 0], [\"telling-truth\", 1], [\"and\", [\"->\", [\"not\", [\"telling-truth... | {"split": "train", "index": 16082} |
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: Alexander, Sofia, Benjamin, Mia, William, Emily, Owen, Mason, and Samuel. Alexander noted, \"if ((Emily is a pioneer and Benjamin is a laggard)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 527, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 5], [\"lying\", 2]], [\"->\", [\"lying\", 6], [\"lying\", 8]]], [\"<=>\", [\"telling-truth\", 5], [\"->\", [\"lying\", 1], [\"telling-truth\", 7]]]], [\"no... | {"split": "train", "index": 16083} |
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: Aurora, Victoria, Lucas, Amelia, Sofia, Jack, Avery, Harper, and Ethan. \"((Lucas is an angel if and only if Amelia is a devil) and Ethan is a devil an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 528, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"lying\", 8], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 8]]], [\"telling-truth\", 7]], [\"or\", [\"<=>\", [\"or\", [\"telling-t... | {"split": "train", "index": 16084} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Mia, James, Sebastian, Abigail, Evelyn, David, Mason, Benjamin, and Aiden. As Mia put it, \"((Aiden is a hero and Mason is a hero and Sebastian is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 529, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 6], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], [\"lying\", 6], [\"lying\", 7]]], [\"or\", [\"lying\", 1], [\"or\", ... | {"split": "train", "index": 16085} |
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, Joseph, Luke, Ella, Riley, Mason, Chloe, Victoria, and Ava. In Sofia's words: \"Joseph is a fool or ((Joseph is a sage if and only if Victoria is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 530, \"statements\": [[\"or\", [\"lying\", 1], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 4]]]], [\"<=>\", [\"and\", [\"and\", [\"telling-truth\",... | {"split": "train", "index": 16086} |
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, Michael, Alexander, Jack, Lily, Sebastian, Sofia, Henry, and Lucas. \"if ((Sofia is a pioneer or Olivia is a pioneer or Alexander is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 531, \"statements\": [[\"->\", [\"or\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"and\", [\"lying\", 5], [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"... | {"split": "train", "index": 16087} |
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, Jack, Evelyn, Harper, Penelope, Michael, William, Aurora, and James. In a statement by Avery: \"((William is a villain and Aurora is a hero) i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 532, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"lying\", 6], [\"telling-truth\", 7]], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"telling-truth\", 2]], [\"<=>\", [\"not\", [\"and\", [\"lying\", 4], [\"lying\", 5]]], [... | {"split": "train", "index": 16088} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Alexander, Aiden, Mason, Zoey, Luke, Logan, Owen, Charlotte, and Elizabeth. Alexander said, \"((if Logan is a sage then Aiden is a sage) or (if Aiden is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 533, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 5]]], [\"telling-truth\... | {"split": "train", "index": 16089} |
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: Lily, Penelope, Riley, Zoey, Emily, Sophia, Victoria, Matthew, and Mason. According to Lily, \"(it is not the case that (Mason is a villain)) and (it... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 534, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 8]]], [\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"lying\... | {"split": "train", "index": 16090} |
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: Logan, Ethan, Samuel, Grace, Lucas, Evelyn, Oliver, Aiden, and Ava. Logan remarked, \"if (it is not the case that (Aiden is a knave)) then ((Ethan is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 535, \"statements\": [[\"->\", [\"not\", [\"not\", [\"telling-truth\", 7]]], [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]]], [\"and\", [\"lying\", 2], [... | {"split": "train", "index": 16091} |
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, Oliver, Emily, Noah, Lucas, Grace, Lily, Harper, and Sophia. \"(it is not the case that (Isabella is a hero and Lucas is a villain and Lily... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 536, \"statements\": [[\"and\", [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 6]]], [\"lying\", 3], [\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 7]], [\"not\"... | {"split": "train", "index": 16092} |
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, Lucas, Elizabeth, Liam, Ava, Mia, Olivia, Mason, and Scarlett. According to Joseph, \"(it is not the case that (Lucas is a saint)) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 537, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"lying\", 1]]], [\"->\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 2]], [\"or\", [\"lying\", 6], [\"telling-truth\", 6]]]], [\"and\", [\"->\", [\"->\", [\"lying... | {"split": "train", "index": 16093} |
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, Isabella, Lily, Mason, Matthew, David, Amelia, Sophia, and Lucas. Chloe was heard saying, \"if Mason is a fool then ((David is a fool if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 538, \"statements\": [[\"->\", [\"lying\", 3], [\"<=>\", [\"<=>\", [\"lying\", 5], [\"lying\", 4]], [\"or\", [\"telling-truth\", 5], [\"lying\", 7]]]], [\"<=>\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\"... | {"split": "train", "index": 16094} |
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, Luke, Avery, Sofia, Mia, Sophia, William, Aurora, and Jackson. In a statement by Olivia: \"if ((Avery is a knave or Olivia is a knight or Wil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 539, \"statements\": [[\"->\", [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\",... | {"split": "train", "index": 16095} |
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: Samuel, William, Lucas, Lily, Abigail, Scarlett, Ava, Aria, and Amelia. Samuel commented, \"it is not the case that (it is not the case that (Scarlet... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 540, \"statements\": [[\"not\", [\"not\", [\"and\", [\"telling-truth\", 5], [\"lying\", 5], [\"lying\", 8]]]], [\"or\", [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 6]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 6]]], [\"... | {"split": "train", "index": 16096} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Amelia, Jack, Evelyn, Lucas, Olivia, Sophia, Elizabeth, Penelope, and Lily. In Amelia's words: \"Penelope is an altruist\". Jack noted, \"(if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 541, \"statements\": [[\"telling-truth\", 7], [\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 8], [\"lying\", 7], [\"lying\", 2]], [\"not\", [\"lying\", 8]]], [\"telling-truth\", 5]], [\"or\", [\"->\", [\"or\", [\"telling-tru... | {"split": "train", "index": 16097} |
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: David, Mason, Mia, Jacob, Liam, Amelia, Ava, Ethan, and Harper. David said, \"((Ethan is a villain or Amelia is a villain or Ava is a villain) and (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 542, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"lying\", 7], [\"lying\", 5], [\"lying\", 6]], [\"->\", [\"lying\", 5], [\"telling-truth\", 5]], [\"telling-truth\", 1]], [\"lying\", 1]], [\"<=>\", [\"and\", [\"->\", [\"ly... | {"split": "train", "index": 16098} |
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, David, Aiden, Benjamin, Scarlett, Jacob, Aria, Sophia, and Noah. Elizabeth said that ((if Benjamin is an egoist then Aria is an altr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 543, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"lying\", 5]], [\"->\", [\"lying\", 6], [\"telling-truth\", 5]]], [\"not\", [... | {"split": "train", "index": 16099} |
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