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: Ella, James, Liam, Sofia, Ethan, Matthew, Emma, Henry, and Harper. Ella told you that it is not the case that (it is not the case that (Liam is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1766, \"statements\": [[\"not\", [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 7]]]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 5]], [\"and\", ... | {"split": "train", "index": 15100} |
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, Mia, Aria, Aiden, Harper, Michael, Sebastian, Chloe, and Victoria. Abigail expressed that (it is not the case that (Chloe is a sage)) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1767, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"lying\", 7]]], [\"not\", [\"and\", [\"lying\", 2], [\"lying\", 7]]]], [\"lying\", 2], [\"lying\", 3], [\"or\", [\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 8]]... | {"split": "train", "index": 15101} |
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: Luke, Daniel, Riley, Alexander, Oliver, James, Jack, Isabella, and Emma. According to Luke, \"(if (Riley is a laggard if and only if James is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1768, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 5]], [\"telling-truth\", 8]], [\"telling-truth\", 7]], [\"lying\", 2], [\"<=>\", [\"or\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 1]], [\"or\... | {"split": "train", "index": 15102} |
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, Isabella, Emily, Daniel, Sophia, Oliver, Matthew, Luke, and Mia. \"((Emily is an egoist or Mia is an altruist) and (Mia is an egoist and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1769, \"statements\": [[\"or\", [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 8]], [\"and\", [\"lying\", 8], [\"lying\", 7]]], [\"or\", [\"and\", [\"lying\", 5], [\"telling-truth\", 5]], [\"telling-truth\", 7]]], [\"<... | {"split": "train", "index": 15103} |
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: Henry, Olivia, Grace, Alexander, Jacob, Oliver, Charlotte, Noah, and Scarlett. Henry expressed that Charlotte is an egoist. According to Olivia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1770, \"statements\": [[\"lying\", 6], [\"and\", [\"->\", [\"or\", [\"lying\", 0], [\"telling-truth\", 7]], [\"lying\", 5]], [\"and\", [\"->\", [\"lying\", 0], [\"lying\", 3]], [\"->\", [\"lying\", 7], [\"telling-truth\", 0]]]... | {"split": "train", "index": 15104} |
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: Matthew, Amelia, Jack, Isabella, Sophia, Logan, Lucas, Elizabeth, and Grace. Matthew stated, \"(if Isabella is an angel then (Logan is an angel or Jack... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1771, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 5], [\"lying\", 2]]], [\"and\", [\"and\", [\"lying\", 1], [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]]]], [\"->\", [\"not\", ... | {"split": "train", "index": 15105} |
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: Aurora, Sebastian, Ethan, Luke, Aiden, Amelia, Benjamin, Owen, and Aria. \"it is not the case that ((Luke is an altruist) if and only if Benjam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1772, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"lying\", 6]]], [\"not\", [\"lying\", 2]], [\"and\", [\"not\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 4]]], [\"not\", [\"telling-truth\", 2]]], [\"... | {"split": "train", "index": 15106} |
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, Daniel, Charlotte, Ella, Zoey, Lucas, Grace, Harper, and Elizabeth. \"if ((Lucas is a hero or Daniel is a villain) and (if Lucas is a villai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1773, \"statements\": [[\"->\", [\"and\", [\"or\", [\"telling-truth\", 5], [\"lying\", 1]], [\"->\", [\"lying\", 5], [\"telling-truth\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"t... | {"split": "train", "index": 15107} |
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, Michael, Sofia, Emma, Mason, Benjamin, Abigail, Grace, and Logan. As Zoey put it, \"((Michael is a sinner if and only if Sofia is a sinner) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1774, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"or\", [\"telling-truth\", 5], [\"lying\", 4]]], [\"telling-truth\", 8]], [\"<=>\", [\"not\", [\"and\", [\"lying\", 8], [\"lying\", 4]]], ... | {"split": "train", "index": 15108} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Daniel, Jack, Victoria, Penelope, Alexander, Sofia, Zoey, Luke, and Aria. As Daniel put it, \"if (Aria is a saint and (Zoey is a saint and Daniel is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1775, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 8], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"lying\", 1], [\"lying\", 5]], [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\... | {"split": "train", "index": 15109} |
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: Jack, Emma, Abigail, Matthew, Joseph, Avery, Luke, Aria, and Jackson. \"if (it is not the case that (Jack is a sage or Luke is a sage)) then (it is not the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1776, \"statements\": [[\"->\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 6]]], [\"not\", [\"not\", [\"lying\", 8]]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 7], [\"telling... | {"split": "train", "index": 15110} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Grace, Mia, Victoria, Owen, Ella, Mason, James, Aria, and Alexander. Grace remarked, \"if ((Mia is a fool if and only if Ella is a sage) if and only if (Ow... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1777, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"not\", [\"lying\", 8]], [\"->\", [\"lying\", 3], [\"lying\",... | {"split": "train", "index": 15111} |
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, Chloe, Scarlett, Sofia, Logan, Amelia, Samuel, Owen, and Zoey. In Mason's words: \"((Chloe is a laggard) and (Scarlett is a pioneer and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1778, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 7]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 3]], [\"and\", [\"telling-truth\... | {"split": "train", "index": 15112} |
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, Elizabeth, Emma, Ella, Harper, Oliver, Lucas, Victoria, and Olivia. Owen stated, \"Olivia is a sinner\". In a statement by Elizabeth: \"(if (Ol... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1779, \"statements\": [[\"lying\", 8], [\"<=>\", [\"->\", [\"and\", [\"lying\", 5], [\"telling-truth\", 0]], [\"and\", [\"lying\", 6], [\"telling-truth\", 5]]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 0]], [\"o... | {"split": "train", "index": 15113} |
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, Grace, Victoria, Mia, Emma, Owen, Ethan, Mason, and Jackson. Elizabeth said that Mason is a saint. Grace said that ((if Owen is a saint th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1780, \"statements\": [[\"telling-truth\", 7], [\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 5], [\"lying\", 2]], [\"or\", [\"lying\", 6], [\"telling-truth\", 0]]], [\"not\", [\"telling-truth\", 6]]], [\"<=>\", [\"->\", [\"... | {"split": "train", "index": 15114} |
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, Liam, Ella, Scarlett, Sofia, Amelia, Ethan, Emma, and Benjamin. \"(it is not the case that (Emma is a villain and Scarlett is a hero)) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1781, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"lying\", 7], [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 5]]]], [\... | {"split": "train", "index": 15115} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Emily, William, Samuel, Charlotte, Liam, Emma, Alexander, Oliver, and Olivia. In a statement by Emily: \"((Liam is a hero and Oliver is a hero) and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1782, \"statements\": [[\"or\", [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"->\", [\"lying\", 3], [\"telling-truth\", 7]]], [\"telling-truth\", 6]], [\"not\", [\"->\", [\"lying\", 3], [\"<=>\", [\"t... | {"split": "train", "index": 15116} |
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, Joseph, Lucas, Aurora, Scarlett, Liam, Logan, Aria, and Isabella. \"((Lucas is a laggard) and (Scarlett is a pioneer or Aurora is a p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1783, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\"... | {"split": "train", "index": 15117} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Grace, Mason, Aria, Oliver, Owen, Jack, Sofia, Amelia, and Zoey. Grace noted, \"Owen is a laggard\". Mason said, \"((Amelia is a laggard if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1784, \"statements\": [[\"lying\", 4], [\"or\", [\"and\", [\"<=>\", [\"lying\", 7], [\"lying\", 6]], [\"->\", [\"lying\", 8], [\"lying\", 6]]], [\"->\", [\"not\", [\"telling-truth\", 7]], [\"or\", [\"lying\", 6], [\"lying\", 7... | {"split": "train", "index": 15118} |
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: Aiden, Lily, William, James, Daniel, Matthew, Sophia, Ella, and Olivia. Aiden said that Daniel is a knave. As Lily put it, \"if (it is not the case t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1785, \"statements\": [[\"lying\", 4], [\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 8]], [\"telling-truth\", 8]]], [\"not\", [\"or\", [\"lying\", ... | {"split": "train", "index": 15119} |
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, Amelia, Matthew, Sebastian, James, Oliver, Harper, Daniel, and Jackson. As Mia put it, \"Harper is an altruist\". Amelia was heard saying,... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1786, \"statements\": [[\"telling-truth\", 6], [\"not\", [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"lying\", 3]]], [\"or\", [\"and\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"->\", [\"telling-tru... | {"split": "train", "index": 15120} |
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: Aurora, Matthew, Olivia, Victoria, Zoey, Riley, Aiden, Oliver, and Michael. Aurora told you that (if (if Michael is an altruist then Zoey is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1787, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 8], [\"lying\", 4]], [\"telling-truth\", 7]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 7]]]], [\"<=>\", [\... | {"split": "train", "index": 15121} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Aria, Avery, Elizabeth, Grace, Logan, Mason, Jack, James, and Harper. \"((Jack is a sinner or Aria is a saint) and (James is a sinner if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1788, \"statements\": [[\"or\", [\"and\", [\"or\", [\"lying\", 6], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 1]]], [\"telling-truth\", 8]], [\"and\", [\"and\", [\"<=>\", [\"lying\", 7], [\"lying\",... | {"split": "train", "index": 15122} |
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, Lucas, Harper, Alexander, Lily, Jackson, Grace, Zoey, and Riley. Emily stated, \"Alexander is an egoist\". \"Alexander is an altruist\" ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1789, \"statements\": [[\"lying\", 3], [\"telling-truth\", 3], [\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"telling-truth\", 5]], ... | {"split": "train", "index": 15123} |
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: Lucas, Amelia, Logan, Sofia, Avery, Michael, Joseph, Sebastian, and Liam. Lucas expressed that Liam is a pioneer and (if (if Avery is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1790, \"statements\": [[\"and\", [\"telling-truth\", 8], [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 7]], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"or\", [\"lying\", 7], [\"lying\", 0]], [\"not\", [\"lying\", 2]... | {"split": "train", "index": 15124} |
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, Henry, Daniel, Sebastian, Noah, Harper, David, Michael, and Mason. William said that Henry is a knave if and only if Daniel is a knave. In H... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1791, \"statements\": [[\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"or\", [\"telling-truth\", 8], [\"and\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 0]], [\"telling-truth\", 6]]], [\"or\", [\"<=>\", [\"<=>\", [\"... | {"split": "train", "index": 15125} |
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, Lily, Ella, Abigail, Henry, Ava, Charlotte, David, and Owen. \"Abigail is a hero if and only if Lily is a hero,\" Jack mentioned. Lily remarked... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1792, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"->\", [\"lying\", 4], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 2]]]], [\"or\... | {"split": "train", "index": 15126} |
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, Sofia, Benjamin, Zoey, Amelia, Isabella, Aria, David, and Ava. Ella was heard saying, \"if ((Sofia is an angel) and Sofia is a devil) then David ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1793, \"statements\": [[\"->\", [\"and\", [\"not\", [\"lying\", 1]], [\"lying\", 1]], [\"lying\", 7]], [\"and\", [\"or\", [\"telling-truth\", 5], [\"and\", [\"telling-truth\", 7], [\"lying\", 7]]], [\"and\", [\"not\", [\"lying... | {"split": "train", "index": 15127} |
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, Isabella, Emma, Noah, James, Sofia, Aurora, Chloe, and Olivia. Lily said, \"((James is a fool and Aurora is a fool) if and only if Emma is a sage) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1794, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 6]], [\"telling-truth\", 2]], [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", ... | {"split": "train", "index": 15128} |
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, Ava, Amelia, Aria, Matthew, Elizabeth, Riley, Grace, and Emma. \"(if (Ava is a saint and Aria is a saint) then (Elizabeth is a sinner)) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1795, \"statements\": [[\"or\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 5]]], [\"not\", [\"not\", [\"telling-truth\", 8]]]], [\"<=>\", [\"and\", [\"telling-truth\", 2],... | {"split": "train", "index": 15129} |
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, Lucas, Olivia, Sebastian, Jackson, Avery, Aiden, Zoey, and Henry. \"((Lucas is a pioneer if and only if Henry is a pioneer) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1796, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 1]]], [\"lying\", 8]], [\"lying\", 4], [\"or\", [\"or\", [\"and\", [\"t... | {"split": "train", "index": 15130} |
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, Oliver, Mia, Isabella, Scarlett, Emma, Matthew, Chloe, and Sebastian. David told you that ((Mia is a devil and Emma is a devil) or Mia is an ang... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1797, \"statements\": [[\"and\", [\"or\", [\"and\", [\"lying\", 2], [\"lying\", 5]], [\"telling-truth\", 2]], [\"telling-truth\", 7]], [\"not\", [\"->\", [\"<=>\", [\"lying\", 6], [\"lying\", 0]], [\"->\", [\"lying\", 5], [\"l... | {"split": "train", "index": 15131} |
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, Mia, Olivia, Penelope, Abigail, Avery, Emily, Alexander, and Sebastian. Matthew told you that if Avery is a sage then ((Abigail is a fool) and Oli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1798, \"statements\": [[\"->\", [\"telling-truth\", 5], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"and\", [\"telling-truth\", 8], [\"lying\", 3]], [\"telling-truth\", 4]], [\"o... | {"split": "train", "index": 15132} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Mia, Henry, Jackson, Emily, Olivia, Michael, Mason, David, and Aria. \"((Olivia is a knight if and only if Mia is a knight) if and only if (Aria is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1799, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"and\", [\"lying\", 8], [\"telling-truth\", 8]]], [\"telling-truth\", 8]], [\"telling-truth\", 5], [\"telling-truth\", 5], ... | {"split": "train", "index": 15133} |
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: Isabella, Victoria, William, Aria, Ella, Chloe, Zoey, Sebastian, and Jacob. Isabella said that ((Sebastian is a knave or Zoey is a knight) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1800, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"lying\", 7], [\"telling-truth\", 6]], [\"->\", [\"lying\", 7], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"lying\", 5], [\"telling-truth\", 2]], [\"or\", [\"telling-t... | {"split": "train", "index": 15134} |
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: Matthew, Logan, Avery, Isabella, Daniel, Ava, Jacob, Michael, and Liam. \"Logan is a devil,\" Matthew declared. \"it is not the case that (it is not th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1801, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"not\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]]], [\"or\", [\"or\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"lying\", ... | {"split": "train", "index": 15135} |
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, Harper, Lily, Mason, Evelyn, Jack, Grace, James, and Luke. Victoria expressed that (it is not the case that (James is a knight or Grace is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1802, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 6]]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"or\", [\"lying\", 6], [\"telling-truth\", 3]]]], [\"a... | {"split": "train", "index": 15136} |
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: Michael, Ella, Alexander, Joseph, Samuel, Emma, Olivia, Luke, and Emily. In a statement by Michael: \"(if (Emma is a knight or Ella is a knave) then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1803, \"statements\": [[\"and\", [\"->\", [\"or\", [\"telling-truth\", 5], [\"lying\", 1]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]], [\"and\", [\"lyi... | {"split": "train", "index": 15137} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Lily, Matthew, Amelia, Chloe, Mia, Abigail, Aiden, Harper, and William. Lily told you that (if (Aiden is an egoist if and only if Lily is an al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1804, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"lying\", 7], [\"lying\", 5]], [\"and\", [\"lying\", 5], [\"telling-truth\", ... | {"split": "train", "index": 15138} |
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, Sofia, Henry, Liam, Samuel, Olivia, Avery, Ella, and Charlotte. Abigail expressed that ((Liam is a fool and Samuel is a sage) or Liam is a fool) i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1805, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"lying\", 3]], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 8], [\"lying\", 3]]]], [\"or\", [\"not\", [\"or\"... | {"split": "train", "index": 15139} |
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, Aiden, Ava, Jacob, Sophia, Henry, Lucas, James, and Noah. Aurora noted, \"if ((Ava is a pioneer or Sophia is a pioneer) and (Noah is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1806, \"statements\": [[\"->\", [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", ... | {"split": "train", "index": 15140} |
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: Alexander, Owen, Matthew, Charlotte, Isabella, Aiden, David, Abigail, and Harper. According to Alexander, \"Isabella is a saint\". Owen noted, \"if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1807, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"and\", [\"lying\", 5], [\"lying\", 8]], [\"or\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 1]]]], [\"->\", [\"<=>\", [\"-... | {"split": "train", "index": 15141} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Ethan, William, Amelia, Joseph, Aiden, Grace, Emma, Abigail, and Penelope. According to Ethan, \"if William is a saint then (if (Penelope is a sinner... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1808, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"->\", [\"or\", [\"lying\", 8], [\"lying\", 2]], [\"lying\", 3]]], [\"or\", [\"or\", [\"lying\", 8], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"or\",... | {"split": "train", "index": 15142} |
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: William, Aria, Harper, Aurora, James, Aiden, Oliver, Scarlett, and Abigail. In William's words: \"Aiden is a villain\". In a statement by Aria: \"it ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1809, \"statements\": [[\"lying\", 5], [\"not\", [\"or\", [\"or\", [\"telling-truth\", 5], [\"lying\", 3]], [\"not\", [\"telling-truth\", 2]]]], [\"or\", [\"telling-truth\", 7], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"l... | {"split": "train", "index": 15143} |
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: William, Sofia, Jack, Lucas, James, Ella, Evelyn, Daniel, and Avery. William remarked, \"if (it is not the case that (Ella is a fool and William is a sage)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1810, \"statements\": [[\"->\", [\"not\", [\"and\", [\"lying\", 5], [\"telling-truth\", 0]]], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 7], [\"and\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"o... | {"split": "train", "index": 15144} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Daniel, Alexander, Jacob, Isabella, Chloe, Scarlett, Oliver, Sofia, and Aria. Daniel said, \"(it is not the case that (Chloe is a hero if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1811, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 8]]], [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 5]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]]], [\"and\", [\"lying\"... | {"split": "train", "index": 15145} |
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: Mia, Aurora, Sofia, William, Olivia, Mason, Emma, Logan, and Lily. Mia told you that (if (Olivia is a sinner and Mason is a saint) then (Mason is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1812, \"statements\": [[\"and\", [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 6]]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 6]], [\"<=>\", [\"telling-... | {"split": "train", "index": 15146} |
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, Matthew, Penelope, Zoey, Joseph, Luke, Sofia, David, and Ava. In a statement by Michael: \"if (Zoey is a laggard if and only if (Penel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1813, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 3], [\"not\", [\"lying\", 2]]], [\"and\", [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 5]]]], [\"<=>\", [\"or\", [\"<=>\", [\"lying\", 6], ... | {"split": "train", "index": 15147} |
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, James, Daniel, Joseph, Abigail, Sophia, Owen, David, and Elizabeth. Riley said, \"it is not the case that ((Riley is a knave) or (Abigail is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1814, \"statements\": [[\"not\", [\"or\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 8]]]], [\"lying\", 7], [\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"... | {"split": "train", "index": 15148} |
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, Michael, Logan, Lily, Alexander, Liam, Olivia, Aria, and Penelope. Amelia stated, \"if (if (Liam is a pioneer if and only if Logan is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1815, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 2]], [\"or\", [\"lying\", 5], [\"lying\", 8]]], [\"<=>\", [\"not\", [\"telling-truth\", 7]], [\"telling-truth\", 5]]], [\"not\", [\... | {"split": "train", "index": 15149} |
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: Aiden, Jackson, Lily, Michael, Emily, Jacob, Ava, Penelope, and Alexander. Aiden noted, \"Michael is a knight or ((Michael is a knave or Lily is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1816, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"lying\", 7]]]], [\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 3... | {"split": "train", "index": 15150} |
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: Victoria, Logan, Ella, Owen, Mason, Lily, Noah, Sofia, and Aurora. Victoria asserted: \"(if (if Ella is a sinner then Sofia is a sinner) then (Owen i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1817, \"statements\": [[\"and\", [\"->\", [\"->\", [\"lying\", 2], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"telling-truth\", 7]], [\"telling-truth\", 8], [\"telling-truth\", 8], [\"not\", [\"->\"... | {"split": "train", "index": 15151} |
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, James, Jacob, Chloe, Sebastian, Emily, Samuel, Zoey, and Noah. As Ava put it, \"((Samuel is a devil or Noah is a devil) if and only if (if James i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1818, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"lying\", 6], [\"lying\", 8]], [\"->\", [\"lying\", 1], [\"lying\", 5]]], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"lying\", 1]... | {"split": "train", "index": 15152} |
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: Emma, Ella, Samuel, Riley, Sebastian, Sofia, Emily, Ethan, and Alexander. Emma was heard saying, \"if ((Sebastian is a pioneer or Ethan is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1819, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"lying\", 2]], [\"telling-truth\", 1]], [\"or\", [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 8]], [\"->\",... | {"split": "train", "index": 15153} |
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: Oliver, Aiden, Samuel, Aurora, Victoria, Riley, Jackson, Avery, and Henry. In a statement by Oliver: \"((Victoria is an altruist or Aurora is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1820, \"statements\": [[\"and\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"lying\", 1]]], [\"<=>\", [\"or\", [\"lying\", 7], [\"lying\", 1]], [\"<=>\", [\"lying\", 2], [\"lying\", 8]]]], [\"and\",... | {"split": "train", "index": 15154} |
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: Emma, Jack, Sofia, Oliver, Luke, Sophia, Ella, Aria, and Isabella. Emma told you that if ((if Sofia is an egoist then Oliver is an egoist) or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1821, \"statements\": [[\"->\", [\"or\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"and\", [\"lying\", 8], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]]], [\"-... | {"split": "train", "index": 15155} |
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: Benjamin, Ava, Liam, Emily, Riley, David, Mia, Jack, and Lily. Benjamin noted, \"((Emily is a hero or Ava is a hero) and (Benjamin is a hero if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1822, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 6]]], [\"or\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 6]], [\"<=... | {"split": "train", "index": 15156} |
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: Aurora, Logan, Mia, Sofia, Isabella, Sebastian, Charlotte, Olivia, and Benjamin. Aurora told you that it is not the case that (if (Logan is a knight ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1823, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"lying\", 1]]], [\"not\", [\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 2], [\"telling... | {"split": "train", "index": 15157} |
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, Alexander, Logan, Michael, Scarlett, Amelia, Abigail, Liam, and Ethan. Sebastian remarked, \"(Alexander is a villain if and only if (Ethan... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1824, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 1], [\"not\", [\"telling-truth\", 8]]], [\"->\", [\"->\", [\"telling-truth\", 5], [\"lying\", 2]], [\"telling-truth\", 7]]], [\"not\", [\"->\", [\"not\", [\"telling-truth\"... | {"split": "train", "index": 15158} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Olivia, Elizabeth, Sophia, Matthew, William, Sebastian, Liam, Ava, and Avery. Olivia commented, \"it is not the case that (Ava is a fool if and only if Seb... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1825, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 7], [\"lying\", 5]]], [\"->\", [\"and\", [\"->\", [\"telling-truth\", 6], [\"lying\", 5]], [\"telling-truth\", 0]], [\"telling-truth\", 1]], [\"->\", [\"->\", [\"and\", [\... | {"split": "train", "index": 15159} |
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, William, Lucas, Samuel, Aiden, Logan, Jackson, Luke, and Alexander. Noah remarked, \"(Jackson is a knight if and only if (William is a knave or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1826, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 6], [\"or\", [\"lying\", 1], [\"lying\", 3]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 5]], [\"not\", [\"lying\", 8]]]], [\"and\", [\"<=>\", [\"telli... | {"split": "train", "index": 15160} |
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, Penelope, Liam, Aiden, David, Owen, Benjamin, Victoria, and Emily. \"(it is not the case that (Benjamin is a knight if and only if Liam is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1827, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 2]]], [\"lying\", 2]], [\"lying\", 0], [\"or\", [\"->\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", ... | {"split": "train", "index": 15161} |
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, Ava, Zoey, Joseph, Abigail, Emily, Benjamin, Isabella, and Penelope. Aurora remarked, \"Zoey is a pioneer\". \"(it is not the case that... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1828, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"not\", [\"not\", [\"telling-truth\", 7]]], [\"and\", [\"->\", [\"telling-truth\", 7], [\"lying\", 3]], [\"lying\", 6]]], [\"<=>\", [\"or\", [\"and\", [\"lying\", 4], ... | {"split": "train", "index": 15162} |
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, Olivia, James, Sofia, Emily, Scarlett, Lily, Aiden, and Jack. Evelyn stated, \"Lily is a knight if and only if ((Scarlett is a knight if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1829, \"statements\": [[\"<=>\", [\"telling-truth\", 6], [\"<=>\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 7]]]], [\"->\", [\"lying\", 8], [\"and\", [\"->\", [\"telling-... | {"split": "train", "index": 15163} |
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: Sophia, Henry, Luke, Scarlett, Samuel, Mason, Joseph, Evelyn, and Amelia. Sophia was heard saying, \"(it is not the case that (Samuel is a hero)) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1830, \"statements\": [[\"and\", [\"not\", [\"not\", [\"lying\", 4]]], [\"lying\", 5]], [\"or\", [\"or\", [\"not\", [\"telling-truth\", 5]], [\"or\", [\"lying\", 6], [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"telling-trut... | {"split": "train", "index": 15164} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Daniel, Emma, Penelope, Ella, Emily, Amelia, Harper, Sofia, and Riley. \"(it is not the case that (Emma is a hero)) or ((Ella is a villain or Harper ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1831, \"statements\": [[\"or\", [\"not\", [\"not\", [\"lying\", 1]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 6]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 7]]]], [\"lying\", 5], [\"and\", [\"or\", [\"not\",... | {"split": "train", "index": 15165} |
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, Jack, Matthew, Aurora, Lucas, Sophia, Aria, Riley, and Logan. As Abigail put it, \"Aurora is a sinner and ((Riley is a sinner if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1832, \"statements\": [[\"and\", [\"lying\", 3], [\"or\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 5]], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 8], [\"and\", [\"lying\", 8], [\"lying\", 2]]], [\"... | {"split": "train", "index": 15166} |
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, Avery, James, Grace, Owen, Logan, Alexander, Jackson, and Ava. Samuel said, \"((Logan is a sinner) or Avery is a sinner) if and only if ((Owe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1833, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"telling-truth\", 5]], [\"lying\", 1]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"lying\", 6]]]], [\"or\", [\"not\", [\"telling-truth\", 1]],... | {"split": "train", "index": 15167} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Daniel, Jacob, Lily, Mason, Alexander, David, Evelyn, Isabella, and Noah. In a statement by Daniel: \"Alexander is a hero\". As Jacob put it, \"Evely... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1834, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 6], [\"->\", [\"or\", [\"lying\", 0], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 5]]]], [\"and\", [\"->\", [\"and\", [\"lying\", ... | {"split": "train", "index": 15168} |
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, Avery, Zoey, Chloe, Isabella, Jacob, Evelyn, Ava, and Emma. In William's words: \"if (if (Ava is a sinner and Jacob is a saint) then (Jacob ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1835, \"statements\": [[\"->\", [\"->\", [\"and\", [\"lying\", 7], [\"telling-truth\", 5]], [\"or\", [\"lying\", 5], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"lying\", 6], [\"telling-truth\", 7]], [\"not\", [\"lying\", 6... | {"split": "train", "index": 15169} |
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: Jackson, Jack, Logan, Evelyn, Lucas, Avery, Benjamin, Harper, and Michael. In Jackson's words: \"it is not the case that ((Michael is an angel) and (Ha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1836, \"statements\": [[\"not\", [\"and\", [\"not\", [\"lying\", 8]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 8]]]], [\"or\", [\"not\", [\"not\", [\"lying\", 5]]], [\"not\", [\"telling-truth\", 7]]], [\"->\", [\"... | {"split": "train", "index": 15170} |
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, Liam, Ethan, Joseph, Penelope, Harper, Sofia, Mason, and Ella. Owen asserted: \"it is not the case that ((Liam is a saint and Owen is a saint) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1837, \"statements\": [[\"not\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"->\", [\"lying\", 2], [\"lying\", 1]]]], [\"not\", [\"<=>\", [\"lying\", 2], [\"and\", [\"telling-truth\", 5], [\"telling-... | {"split": "train", "index": 15171} |
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: Victoria, Michael, Amelia, Isabella, Abigail, Ava, David, Jackson, and Emma. Victoria asserted: \"if (it is not the case that (Michael is a saint)) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1838, \"statements\": [[\"->\", [\"not\", [\"not\", [\"lying\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]]]], [\"telling-truth\", 7], [\"<=>\", [\"or\", [\"and\", [\"lying\", 8], [\"telling-truth\... | {"split": "train", "index": 15172} |
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, James, Zoey, Henry, Logan, Grace, Sebastian, Ethan, and Oliver. In Benjamin's words: \"it is not the case that (James is a laggard)\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1839, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"telling-truth\", 6], [\"<=>\", [\"not\", [\"lying\", 7]], [\"and\", [\"telling-truth\", 1], [\"lying\", 7]]]], [\"lying\", 7], [\"and\", [\"lyin... | {"split": "train", "index": 15173} |
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: Henry, Emily, Liam, Scarlett, Elizabeth, James, Amelia, Avery, and Benjamin. Henry noted, \"(if (Liam is an egoist) then (Elizabeth is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1840, \"statements\": [[\"and\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"lying\", 8], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 8... | {"split": "train", "index": 15174} |
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: William, James, David, Oliver, Charlotte, Elizabeth, Penelope, Alexander, and Matthew. William noted, \"((Oliver is a villain or Penelope is a villai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1841, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 6]], [\"and\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\"... | {"split": "train", "index": 15175} |
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: Victoria, David, Avery, Elizabeth, Grace, Sebastian, Aiden, Lily, and Harper. In Victoria's words: \"David is a villain\". David said that (Grace is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1842, \"statements\": [[\"lying\", 1], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 0]]]], [\"or\", [\"<=>\", [\"telling-truth\", 5], [\"<=>\", [\"telling-truth\", 0], [\... | {"split": "train", "index": 15176} |
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, Liam, Samuel, Zoey, Abigail, Ethan, Lucas, Evelyn, and Owen. Sebastian commented, \"if (if (if Ethan is a laggard then Lucas is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1843, \"statements\": [[\"->\", [\"->\", [\"->\", [\"lying\", 5], [\"telling-truth\", 6]], [\"telling-truth\", 7]], [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]]]], [\"<=>\", [\"not\", [\"<=>\", [\"telling-truth\"... | {"split": "train", "index": 15177} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Grace, Daniel, Olivia, Noah, Sophia, Riley, Ava, David, and Michael. Grace stated, \"(if (Sophia is a villain and Noah is a hero) then (Olivia is a v... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1844, \"statements\": [[\"and\", [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"lying\", 2], [\"lying\", 7]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1]]]], [\"or\", [\"or\", [\"<=>\",... | {"split": "train", "index": 15178} |
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, Daniel, Lily, James, Ethan, Owen, Penelope, Olivia, and Lucas. Scarlett said that Lily is a villain. Daniel said, \"(it is not the case tha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1845, \"statements\": [[\"lying\", 2], [\"or\", [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 5]]], [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 8]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]]]], [\"lying\", ... | {"split": "train", "index": 15179} |
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, Charlotte, Avery, Michael, Sebastian, Sofia, Penelope, Riley, and Aiden. Luke commented, \"Aiden is a fool and (Riley is a sage or (Michael is a fool... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1846, \"statements\": [[\"and\", [\"lying\", 8], [\"or\", [\"telling-truth\", 7], [\"not\", [\"telling-truth\", 3]]]], [\"->\", [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"telling-truth\", 8], [\"lyi... | {"split": "train", "index": 15180} |
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: Victoria, Sofia, Luke, David, Sophia, Jack, Joseph, Jackson, and Alexander. According to Victoria, \"((Victoria is an angel and Jack is a devil) or Dav... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1847, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 5]], [\"telling-truth\", 3]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 2], [\"ly... | {"split": "train", "index": 15181} |
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, William, Emma, Owen, Sophia, James, Mia, Oliver, and Alexander. Riley said, \"((if Sophia is an angel then Oliver is an angel) if and only if (W... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1848, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"not\", [\"lying\", 1]]], [\"telling-truth\", 2]], [\"->\", [\"not\", [\"or\", [\"lying\", 6], [\"lying\", 5]]], [\"<=>\", ... | {"split": "train", "index": 15182} |
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, Michael, Isabella, Aurora, Alexander, Ava, Elizabeth, Harper, and Scarlett. Joseph noted, \"it is not the case that ((Aurora is a saint) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1849, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 1], [\"lying\", 8]]]], [\"not\", [\"or\", [\"<=>\", [\"lying\", 8], [\"lying\", 6]], [\"and\", [\"lying\", 6], [\"lying\", 2]]]], [\"-... | {"split": "train", "index": 15183} |
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: Sophia, William, Jacob, Mason, Riley, Emma, Lucas, Alexander, and Logan. Sophia said, \"Emma is a villain.\" William told you that Sophia is a villai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1850, \"statements\": [[\"lying\", 5], [\"lying\", 0], [\"<=>\", [\"lying\", 8], [\"not\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 1]]]], [\"->\", [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"->\", [\... | {"split": "train", "index": 15184} |
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, David, Jack, Jackson, Emma, Ella, Oliver, Aria, and Victoria. As Riley put it, \"if ((David is a devil if and only if Victoria is an angel) or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1851, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 5], [\"lying\", 1]]], [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 5]], [\"->\", [\"lying\", 5], [\"telling-tr... | {"split": "train", "index": 15185} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Sophia, Chloe, Mia, Michael, Emily, Charlotte, David, Oliver, and James. Sophia stated, \"(if (Michael is a sinner and Mia is a sinner) then (if Davi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1852, \"statements\": [[\"and\", [\"->\", [\"and\", [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"lying\", 6], [\"telling-truth\", 3]]], [\"lying\", 8]], [\"->\", [\"and\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"tellin... | {"split": "train", "index": 15186} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Owen, Amelia, Ethan, Elizabeth, Michael, Noah, Penelope, Alexander, and Avery. Owen commented, \"it is not the case that ((if Ethan is a villain then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1853, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 3]]]], [\"lying\", 5], [\"lying\", 1], [\"not\", [\"not\", [\"<=>\", [\"telling... | {"split": "train", "index": 15187} |
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, Owen, Chloe, Abigail, Sebastian, Victoria, Benjamin, Oliver, and Aria. \"(if (Sebastian is a knight) then Sebastian is a knave) or (it is not ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1854, \"statements\": [[\"or\", [\"->\", [\"not\", [\"lying\", 4]], [\"lying\", 4]], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]]], [\"<=>\", [\"or\", [\"lying\", 7], [\"->\", [\"telling-truth\", 3], [\"lying\"... | {"split": "train", "index": 15188} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: William, Elizabeth, Joseph, Benjamin, Ethan, Aurora, Mason, Olivia, and Matthew. William noted, \"if ((if Elizabeth is an angel then William is an ange... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1855, \"statements\": [[\"->\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 8]]], [\"<=>\", [\"not\", [\"lying\", 5]], [\"lying\", 4]]], [\"->\", [\"lying\", 8], [\"->\", [... | {"split": "train", "index": 15189} |
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: Victoria, Samuel, Owen, Noah, Lucas, Henry, Luke, Chloe, and Sofia. \"(it is not the case that (Henry is a sage)) if and only if (if Henry is a fool then (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1856, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"lying\", 5]]], [\"->\", [\"lying\", 5], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"and\", [\"telling-truth... | {"split": "train", "index": 15190} |
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, Aiden, Scarlett, Jacob, Harper, Liam, Isabella, Elizabeth, and Jack. Charlotte stated, \"((Jacob is a laggard if and only if Elizabe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1857, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 7]], [\"and\", [\"lying\", 2], [\"lying\", 6]]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 5]], [\"or\", [\"lying\", 5], [\"lying\", ... | {"split": "train", "index": 15191} |
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, Matthew, Jack, Alexander, William, Jackson, Victoria, Luke, and Daniel. Ella expressed that (it is not the case that (if Matthew is a knave the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1858, \"statements\": [[\"and\", [\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"lying\", 7]], [\"telling-truth\", 6], [\"telling-truth\", 6], [\"<=>\", [\"->\", [\"->\", [\"lying\", 0], [\"lying\", 8]], [\"->\... | {"split": "train", "index": 15192} |
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: Sebastian, Jackson, Isabella, Alexander, Oliver, James, Lucas, Scarlett, and Ella. Sebastian noted, \"if Ella is a devil then Isabella is a devil\". Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1859, \"statements\": [[\"->\", [\"lying\", 8], [\"lying\", 2]], [\"not\", [\"or\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"or\", [\"lying\", 2], [\"telling-truth\", 8]]]], [\"->\", [\"->\", [\"and\", [\"... | {"split": "train", "index": 15193} |
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, Sophia, James, Harper, Alexander, Riley, Ella, Sofia, and Charlotte. In a statement by Michael: \"(Sofia is a saint if and only if (Michael ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1860, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 7], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 5]]], [\"->\", [\"not\", [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 2], [\"lying\", 7]]]], [\"<... | {"split": "train", "index": 15194} |
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, Sophia, Avery, Elizabeth, Logan, Victoria, Mason, Isabella, and Alexander. Riley was heard saying, \"((Elizabeth is a hero and Avery is a vill... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1861, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2]], [\"telling-truth\", 2]], [\"->\", [\"->\", [\"lying\", 6], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"telling-truth... | {"split": "train", "index": 15195} |
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, Scarlett, Sophia, David, Aurora, Henry, Emma, Sofia, and Matthew. Riley commented, \"Scarlett is a villain and (it is not the case that (Emma ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1862, \"statements\": [[\"and\", [\"lying\", 1], [\"not\", [\"not\", [\"telling-truth\", 6]]]], [\"telling-truth\", 0], [\"->\", [\"and\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 6], [\"lying\", 7]]], [\"and\", [\... | {"split": "train", "index": 15196} |
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, Liam, Chloe, Joseph, Matthew, Amelia, Ethan, Jacob, and Ella. Jackson said that Ethan is a knave. \"Ella is a knave and Jacob is a knight,\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1863, \"statements\": [[\"lying\", 6], [\"and\", [\"lying\", 8], [\"telling-truth\", 7]], [\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"lying\", 3]]], [\"->\", [\"or\"... | {"split": "train", "index": 15197} |
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, Matthew, Harper, Emily, Jack, Owen, Aurora, Joseph, and Lily. Luke said, \"((if Joseph is a sage then Jack is a sage) and (Emily is a sage and Harper... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1864, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"<=>\", [\"or\", [\"telling-truth\", 6], [\"lying\", 2]], [\"<=>\", [\"... | {"split": "train", "index": 15198} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Penelope, Aria, Avery, Noah, Sebastian, Luke, Owen, Oliver, and Lily. In Penelope's words: \"(it is not the case that (Luke is a devil or Avery is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1865, \"statements\": [[\"or\", [\"not\", [\"or\", [\"lying\", 5], [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"lying\", 8], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 6], [\"lying\", 7]]]], [\"and\", [\"not\", [... | {"split": "train", "index": 15199} |
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