data_source stringclasses 1
value | prompt stringlengths 657 2.81k | ability stringclasses 1
value | reward_model stringlengths 1.3k 5.51k | extra_info stringlengths 30 34 |
|---|---|---|---|---|
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Noah, Avery, James, Jacob, and David. In Noah's words: \"David is an egoist if and only if (James is an egoist or James is an altruist)\". Acco... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1688, \"statements\": [[\"<=>\", [\"lying\", 4], [\"or\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"lyin... | {"split": "train", "index": 12800} |
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 5 inhabitants: Owen, Mason, Grace, Aurora, and Jackson. In a statement by Owen: \"Aurora is a knave\". Mason said, \"Jackson is a knave.\" \"Aurora is a knight if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1689, \"statements\": [[\"lying\", 3], [\"lying\", 4], [\"<=>\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"lying\", 4], [\... | {"split": "train", "index": 12801} |
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 5 inhabitants: Charlotte, Owen, Olivia, Aiden, and Abigail. As Charlotte put it, \"Olivia is a sinner\". Owen asserted: \"(if Abigail is a saint then Aiden is a sin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1690, \"statements\": [[\"lying\", 2], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"lying\", 2]]], [\"telling-truth\", 1], [\"lying\", 1], [\"or\", [\"lying\", 0], [\"<=>\", [\"telling-truth\", 4], ... | {"split": "train", "index": 12802} |
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 5 inhabitants: Emily, Jacob, Ava, Jack, and Matthew. In Emily's words: \"if (if Matthew is a saint then Matthew is a sinner) then (if Emily is a saint then Jack is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1691, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"telling-truth\", 4], [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [... | {"split": "train", "index": 12803} |
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 5 inhabitants: Sebastian, Avery, Benjamin, Isabella, and Ella. As Sebastian put it, \"Benjamin is a sinner\". Avery commented, \"if (Ella is a sinner and Benjamin i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1692, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"or\", [\"or\",... | {"split": "train", "index": 12804} |
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 5 inhabitants: Aurora, Amelia, Liam, Emma, and Victoria. As Aurora put it, \"if (Victoria is a pioneer or Victoria is a laggard or Liam is a laggard) then (Vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1693, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 3]]], [\"or\", [\"tell... | {"split": "train", "index": 12805} |
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 5 inhabitants: Ethan, Aria, Chloe, Jacob, and Scarlett. As Ethan put it, \"Aria is an altruist\". In Aria's words: \"(Jacob is an altruist or Jacob is an egoi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1694, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"and\", [\"tell... | {"split": "train", "index": 12806} |
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 5 inhabitants: Mason, Benjamin, William, Riley, and Chloe. Mason told you that if (Benjamin is a fool) then (if William is a sage then Chloe is a fool). As Benjamin put i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1695, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"and\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 2], [\"telling-truth\", 3], [\"telling-truth\", 0... | {"split": "train", "index": 12807} |
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 5 inhabitants: Joseph, Aria, Mason, Ethan, and Luke. Joseph noted, \"(if Mason is a laggard then Luke is a laggard) and (Mason is a laggard) and (Luke is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1696, \"statements\": [[\"and\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 1]]], [\"or\", [\"an... | {"split": "train", "index": 12808} |
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 5 inhabitants: Samuel, Sophia, Penelope, Zoey, and Ella. Samuel asserted: \"(Penelope is an angel or Sophia is an angel or Ella is a devil) or (Sophia is an angel if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1697, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"tellin... | {"split": "train", "index": 12809} |
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 5 inhabitants: Henry, Benjamin, Chloe, Emma, and James. Henry remarked, \"(James is a pioneer) or Chloe is a pioneer or (if Chloe is a laggard then Henry is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1698, \"statements\": [[\"or\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 2], [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"lying\", 3]]], [\"telling-truth\", 4], [\"<=>\", [\"<=>\", [\"lying\"... | {"split": "train", "index": 12810} |
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 5 inhabitants: Henry, Aria, Alexander, Isabella, and Emma. Henry asserted: \"(Emma is a knight) if and only if (Aria is a knave and Henry is a knight and Alexander ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1699, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"and... | {"split": "train", "index": 12811} |
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 5 inhabitants: Mia, Jack, Aiden, Harper, and Luke. Mia told you that (Aiden is an egoist or Aiden is an altruist) and (Mia is an altruist or Luke is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1700, \"statements\": [[\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"lying\", 2]], [\"and\", [\"and\... | {"split": "train", "index": 12812} |
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 5 inhabitants: Jacob, Chloe, Joseph, Matthew, and Aiden. In a statement by Jacob: \"(if Chloe is an angel then Chloe is a devil) if and only if (Matthew is an angel o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1701, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth\", 0], ... | {"split": "train", "index": 12813} |
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 5 inhabitants: Alexander, Liam, Aiden, Victoria, and Sofia. Alexander told you that (Liam is a knave and Sofia is a knight and Victoria is a knave and Alexander is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1702, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\... | {"split": "train", "index": 12814} |
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 5 inhabitants: Olivia, Harper, William, Logan, and Avery. Olivia said, \"it is not the case that (William is an egoist or Logan is an egoist or Avery is an eg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1703, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"lying\", 3], [\"lying\", 4], [\"lying\", 1]]], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"... | {"split": "train", "index": 12815} |
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 5 inhabitants: Victoria, Logan, Henry, Scarlett, and Zoey. Victoria expressed that (Henry is a villain or Scarlett is a hero or Logan is a villain) or (Zoey is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1704, \"statements\": [[\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"lying\", 1], [\"lying\", 4]]], [\"->\", [\"telling-truth\", 3], [\"or\", [... | {"split": "train", "index": 12816} |
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 5 inhabitants: Victoria, Elizabeth, Luke, Ethan, and Amelia. Victoria asserted: \"Ethan is a pioneer\". \"Ethan is a pioneer or (Victoria is a laggard if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1705, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]],... | {"split": "train", "index": 12817} |
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 5 inhabitants: Charlotte, David, James, Joseph, and Riley. \"James is an altruist\" - Charlotte. In a statement by David: \"(Joseph is an altruist or David is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1706, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\... | {"split": "train", "index": 12818} |
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 5 inhabitants: Mia, Abigail, James, Scarlett, and Mason. As Mia put it, \"if (James is a sinner and Mason is a saint and Scarlett is a sinner and Mia is a saint) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1707, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"<=>\", [\"lying\", 3], [\"and\", [\"lying\", 3],... | {"split": "train", "index": 12819} |
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 5 inhabitants: Amelia, Ella, Emily, William, and Liam. Amelia said that Liam is an angel. In Ella's words: \"(Amelia is a devil if and only if Emily is an angel) or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1708, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"and\", [\"or\", [\"lying\", 4... | {"split": "train", "index": 12820} |
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 5 inhabitants: Ethan, Chloe, Amelia, Liam, and Sophia. Ethan stated, \"Ethan is a saint or (if Chloe is a saint then Sophia is a saint)\". Chloe stated, \"(if Liam ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1709, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [... | {"split": "train", "index": 12821} |
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 5 inhabitants: Aiden, Isabella, Noah, Aria, and William. Aiden asserted: \"it is not the case that (Noah is a devil or Aiden is an angel or Noah is an angel or Aria i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1710, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\", 3]]], [\"or\", [\"telling-truth\", 0], [\"or\", [\"lying\", 0], [\"telling-truth\", 0], [\"lying\", 4], [\"l... | {"split": "train", "index": 12822} |
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 5 inhabitants: Ethan, Chloe, Penelope, Lily, and Henry. Ethan said, \"(if Henry is an angel then Chloe is a devil) or Henry is an angel.\" Chloe was heard saying, \"(... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1711, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"telling-truth\", 4]], [\"or\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 3], [\"lying\", 0]], [\"or\", ... | {"split": "train", "index": 12823} |
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 5 inhabitants: Mia, Grace, William, Harper, and Victoria. Mia said that (Victoria is an altruist and Victoria is an egoist and William is an egoist and Grace ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1712, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"lying\", 2], [\"lying\", 1]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 4]]], [\"->\", [\... | {"split": "train", "index": 12824} |
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 5 inhabitants: Michael, Lily, Ella, Henry, and Lucas. Michael told you that (Henry is a knave and Lucas is a knave and Lily is a knight and Henry is a knight) and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1713, \"statements\": [[\"and\", [\"and\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"telling-truth\", 2]... | {"split": "train", "index": 12825} |
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 5 inhabitants: Michael, Sofia, Victoria, Lucas, and Henry. \"Michael is a pioneer,\" Michael mentioned. \"it is not the case that (Lucas is a pioneer and Sofi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1714, \"statements\": [[\"telling-truth\", 0], [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 2]]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 1]], [\"lying\", 1], ... | {"split": "train", "index": 12826} |
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 5 inhabitants: Matthew, Henry, Mia, Ethan, and Lucas. Matthew commented, \"(if Mia is a saint then Henry is a sinner) and (Mia is a sinner) and (Lucas is a sinner) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1715, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"telling-truth\", 3... | {"split": "train", "index": 12827} |
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 5 inhabitants: Joseph, Victoria, Sophia, Sebastian, and Lily. Joseph was heard saying, \"Lily is a knight\". According to Victoria, \"(Sebastian is a knight) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1716, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", ... | {"split": "train", "index": 12828} |
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 5 inhabitants: Jackson, Sofia, Emily, Luke, and Ella. \"(Sofia is a saint or Luke is a sinner or Ella is a saint) or (Emily is a sinner if and only if Emily is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1717, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"lying\", 2], [\"lying\", 1], [\"lying\", 4], [\"lying\", ... | {"split": "train", "index": 12829} |
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 5 inhabitants: Luke, Riley, Ava, Aiden, and Elizabeth. Luke expressed that Aiden is a fool. \"(Ava is a fool if and only if Elizabeth is a fool) if and only if (Ava is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1718, \"statements\": [[\"lying\", 3], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"<=>\", [\"... | {"split": "train", "index": 12830} |
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 5 inhabitants: Sebastian, Grace, Evelyn, Joseph, and Jackson. \"Jackson is an egoist,\" Sebastian declared. Grace said, \"(Sebastian is an altruist if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1719, \"statements\": [[\"lying\", 4], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 4], [\"lying\", 0]], [\"and\", [\"lying\", 4], [\"telling-trut... | {"split": "train", "index": 12831} |
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 5 inhabitants: Lucas, Jack, Ella, Riley, and Ava. According to Lucas, \"(Ella is a fool) if and only if (Ella is a sage)\". Jack asserted: \"if Ava is a sage then (if Ril... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1720, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 2]]], [\"->\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"lying\", 1], [\"... | {"split": "train", "index": 12832} |
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 5 inhabitants: Avery, Lily, Riley, Samuel, and Benjamin. \"Benjamin is a saint,\" Avery declared. Lily remarked, \"it is not the case that (Samuel is a saint or Ave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1721, \"statements\": [[\"not\", [\"lying\", 4]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 0], [\"lying\", 3]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"and\", [\"not\", [\"telling-truth\"... | {"split": "train", "index": 12833} |
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 5 inhabitants: Alexander, Harper, Grace, Evelyn, and Victoria. Alexander told you that if (Harper is a sage if and only if Evelyn is a sage) then (Victoria is a fool and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1722, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"or\", [\"telling-truth\", 2], [\"not\", [\"lying\", 2]]], [\"telling-truth\", 0]... | {"split": "train", "index": 12834} |
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 5 inhabitants: Owen, Ethan, Riley, Zoey, and Avery. Owen was heard saying, \"Zoey is a saint\". Ethan said, \"(Owen is a saint if and only if Riley is a sinner) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1723, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"lying\", 0], [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 4],... | {"split": "train", "index": 12835} |
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 5 inhabitants: David, Jackson, Liam, Chloe, and Jacob. \"Jackson is a pioneer,\" David claimed. In Jackson's words: \"(Chloe is a laggard or David is a pionee... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1724, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 2]], [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"lying\", 4], [\... | {"split": "train", "index": 12836} |
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 5 inhabitants: Liam, Avery, Noah, Ava, and Benjamin. Liam noted, \"Ava is a knave\". \"(Liam is a knight) and (Liam is a knave),\" Avery claimed. \"(Liam is a knigh... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1725, \"statements\": [[\"lying\", 3], [\"and\", [\"not\", [\"lying\", 0]], [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [\"lying\", ... | {"split": "train", "index": 12837} |
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 5 inhabitants: Ava, Amelia, Aurora, Aiden, and Daniel. In a statement by Ava: \"Aiden is a sage\". Amelia asserted: \"Daniel is a fool\". In Aurora's words: \"Daniel is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1726, \"statements\": [[\"telling-truth\", 3], [\"lying\", 4], [\"and\", [\"lying\", 4], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"... | {"split": "train", "index": 12838} |
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 5 inhabitants: Emily, Matthew, Daniel, Amelia, and Luke. Emily asserted: \"(Matthew is a pioneer if and only if Amelia is a pioneer) and Emily is a pioneer an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1727, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"telling-truth\", 0], [\"and\", [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\... | {"split": "train", "index": 12839} |
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 5 inhabitants: Grace, Mason, Zoey, Charlotte, and Penelope. In Grace's words: \"(Penelope is a hero or Penelope is a villain or Zoey is a hero or Mason is a villain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1728, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 1]], [\"lying\", 1]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"lying... | {"split": "train", "index": 12840} |
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 5 inhabitants: Avery, Oliver, Ella, Jackson, and Henry. Avery noted, \"it is not the case that (if Henry is a villain then Ella is a villain)\". \"Avery is a villai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1729, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 3], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 0]], [\"->... | {"split": "train", "index": 12841} |
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 5 inhabitants: Aria, Matthew, Benjamin, Mia, and Zoey. Aria remarked, \"(Aria is a saint or Benjamin is a saint) if and only if (if Benjamin is a saint then Zoey is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1730, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying... | {"split": "train", "index": 12842} |
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 5 inhabitants: William, Avery, Harper, Evelyn, and Zoey. In a statement by William: \"it is not the case that (Harper is a knave or Avery is a knight or Harper is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1731, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 1], [\"lying\", 0]], [\"and\", [\"tell... | {"split": "train", "index": 12843} |
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 5 inhabitants: David, Emma, Charlotte, Olivia, and Noah. \"Emma is a devil,\" David declared. Emma said that (Emma is an angel if and only if Noah is an angel) and (E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1732, \"statements\": [[\"lying\", 1], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 0]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"not\",... | {"split": "train", "index": 12844} |
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 5 inhabitants: William, Aurora, Isabella, Sofia, and Riley. William remarked, \"Riley is a sage if and only if (Aurora is a sage if and only if Riley is a fool)\". Aurora... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1733, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 0]], [\"or\", [\"lying\... | {"split": "train", "index": 12845} |
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 5 inhabitants: Matthew, Luke, Charlotte, Scarlett, and Samuel. Matthew said that Scarlett is a laggard. Luke commented, \"it is not the case that (if Scarlett... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1734, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"and\", [\"not\", [\"telling-truth\... | {"split": "train", "index": 12846} |
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 5 inhabitants: Penelope, Logan, Evelyn, Amelia, and Mason. Penelope expressed that (Logan is a sage) or (if Mason is a fool then Evelyn is a fool) or (Amelia is a fool or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1735, \"statements\": [[\"or\", [\"not\", [\"lying\", 1]], [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"lying\", 3]]], [\"->\"... | {"split": "train", "index": 12847} |
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 5 inhabitants: Jack, Aria, Grace, Isabella, and Owen. Jack remarked, \"Owen is an altruist\". In a statement by Aria: \"if (Isabella is an altruist if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1736, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"lying\", 4], [... | {"split": "train", "index": 12848} |
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 5 inhabitants: Amelia, Jacob, Daniel, Lily, and Liam. Amelia was heard saying, \"Jacob is a sage\". In a statement by Jacob: \"(Jacob is a sage or Daniel is a sage or Lil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1737, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"lying\", 0]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"... | {"split": "train", "index": 12849} |
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 5 inhabitants: Michael, Sofia, Jack, Riley, and Isabella. According to Michael, \"it is not the case that (Isabella is a devil if and only if Riley is an angel)\". So... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1738, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"not\", [\"lying\", 4]]], [\"and\", [\"telling-truth\", 3], [\"not\", [... | {"split": "train", "index": 12850} |
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 5 inhabitants: Aiden, Emily, Matthew, Jacob, and Aria. Aiden remarked, \"(Aria is a knight and Matthew is a knave) if and only if (Matthew is a knave and Jacob is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1739, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"and\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 4], [\"lying\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-trut... | {"split": "train", "index": 12851} |
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 5 inhabitants: Abigail, Jack, Elizabeth, Sofia, and Lucas. \"it is not the case that (Elizabeth is an angel and Abigail is an angel and Lucas is a devil and Sofia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1740, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"lying\", 2]], [\"lying\", 0], [\"or\", [\"telling-truth\", 1], [\"lyin... | {"split": "train", "index": 12852} |
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 5 inhabitants: Mason, Daniel, William, Zoey, and Lily. Mason commented, \"(Zoey is a saint and Zoey is a sinner and William is a sinner and Lily is a saint) or (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1741, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 4]], [\"->\", [\"lying\", 1], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"t... | {"split": "train", "index": 12853} |
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 5 inhabitants: Ava, Emma, Riley, Jacob, and Chloe. Ava remarked, \"it is not the case that (Ava is a saint and Riley is a sinner and Chloe is a saint)\". As Emma pu... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1742, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"tel... | {"split": "train", "index": 12854} |
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 5 inhabitants: David, Ava, Zoey, Oliver, and Avery. David told you that if (David is an angel and Oliver is an angel) then (Oliver is an angel and Ava is an angel and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1743, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 4]]], [\"or\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\... | {"split": "train", "index": 12855} |
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 5 inhabitants: Owen, Zoey, Alexander, Ava, and Victoria. \"Ava is a sage,\" Owen declared. Zoey asserted: \"Victoria is a sage\". Alexander noted, \"it is not the case th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1744, \"statements\": [[\"telling-truth\", 3], [\"telling-truth\", 4], [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"lying\", 4]], [\"not\", [\"lying\", 3]]], \"sol... | {"split": "train", "index": 12856} |
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 5 inhabitants: Emily, Elizabeth, Amelia, Mia, and James. As Emily put it, \"(James is a knave if and only if Amelia is a knave) or (Elizabeth is a knave)\". Elizabe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1745, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], [\"telling-tru... | {"split": "train", "index": 12857} |
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 5 inhabitants: Charlotte, Jacob, Evelyn, Alexander, and Isabella. Charlotte expressed that (Jacob is a knave) if and only if (if Alexander is a knave then Charlotte... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1746, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"lying\", 4], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"lying\", 1... | {"split": "train", "index": 12858} |
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 5 inhabitants: William, Jacob, Grace, Riley, and Isabella. William commented, \"Grace is a fool\". \"Isabella is a sage,\" Jacob declared. Grace stated, \"it is not the c... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1747, \"statements\": [[\"lying\", 2], [\"telling-truth\", 4], [\"not\", [\"and\", [\"lying\", 0], [\"telling-truth\", 3], [\"lying\", 3]]], [\"lying\", 0], [\"or\", [\"and\", [\"lying\", 2], [\"lying\", 1]], [\"not\", [\"tell... | {"split": "train", "index": 12859} |
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 5 inhabitants: Aurora, Oliver, Luke, Abigail, and Daniel. Aurora expressed that (if Aurora is a sage then Abigail is a sage) and (Daniel is a sage and Oliver is a fool an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1748, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 1], [\"telli... | {"split": "train", "index": 12860} |
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 5 inhabitants: Riley, Luke, Elizabeth, Jacob, and Mason. \"(if Jacob is a sinner then Elizabeth is a sinner) and (if Jacob is a sinner then Jacob is a saint),\" Ril... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1749, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"and\", [\"lying\", 0], [\"telling-tru... | {"split": "train", "index": 12861} |
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 5 inhabitants: Zoey, Henry, Alexander, James, and Mason. In a statement by Zoey: \"Henry is a sage\". Henry said, \"Mason is a fool.\" Alexander asserted: \"if (Henry is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1750, \"statements\": [[\"not\", [\"lying\", 1]], [\"not\", [\"telling-truth\", 4]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"tell... | {"split": "train", "index": 12862} |
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 5 inhabitants: Alexander, Sebastian, Sophia, Chloe, and Mason. \"(if Alexander is a pioneer then Sebastian is a laggard) if and only if (Mason is a laggard),\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1751, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"lying\", 0], [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 2]], [\"or\",... | {"split": "train", "index": 12863} |
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 5 inhabitants: Oliver, Aiden, James, Samuel, and Matthew. \"Matthew is a hero,\" Oliver declared. Aiden remarked, \"Oliver is a villain\". James noted, \"(Matthew i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1752, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"telling-truth\", 0]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"and\", ... | {"split": "train", "index": 12864} |
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 5 inhabitants: Aria, Sophia, Ava, Jack, and Samuel. \"Ava is an angel\" - Aria. Sophia commented, \"Jack is a devil\". According to Ava, \"(Aria is an angel if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1753, \"statements\": [[\"telling-truth\", 2], [\"lying\", 3], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 4]], [\"a... | {"split": "train", "index": 12865} |
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 5 inhabitants: Michael, Emma, Owen, Abigail, and Victoria. In Michael's words: \"(Emma is a knight or Abigail is a knave or Abigail is a knight) and (Owen is a knig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1754, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"lying\", 2], [\"or\", [\"lying\", 2], [\"telli... | {"split": "train", "index": 12866} |
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 5 inhabitants: David, Scarlett, Evelyn, Abigail, and Owen. \"Evelyn is a pioneer,\" David declared. Scarlett expressed that it is not the case that (if David ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1755, \"statements\": [[\"not\", [\"lying\", 2]], [\"not\", [\"->\", [\"lying\", 0], [\"lying\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]], [\"... | {"split": "train", "index": 12867} |
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 5 inhabitants: James, Mason, Isabella, Charlotte, and Amelia. \"Isabella is an angel\" - James. In Mason's words: \"it is not the case that (Mason is an angel or Amel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1756, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 4], [\"lying\", 2]]], [\"->\", [\"lying\", 4], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\... | {"split": "train", "index": 12868} |
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 5 inhabitants: Ethan, Grace, Sophia, Scarlett, and Jackson. \"Scarlett is a villain,\" Ethan mentioned. Grace was heard saying, \"it is not the case that (Jackson i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1757, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 3], [\"lying\", 1], [\"lying\", 3], [\"lying\", ... | {"split": "train", "index": 12869} |
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 5 inhabitants: Aiden, Victoria, Ethan, Isabella, and Elizabeth. In Aiden's words: \"Ethan is a devil\". As Victoria put it, \"(Elizabeth is a devil and Isabella is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1758, \"statements\": [[\"lying\", 2], [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 0]], [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"<=>\", [... | {"split": "train", "index": 12870} |
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 5 inhabitants: Isabella, Evelyn, Aria, Benjamin, and Ethan. \"Benjamin is a hero,\" Isabella mentioned. Evelyn noted, \"(Aria is a villain if and only if Ethan is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1759, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"lying\", 4], [\"and\", [\"lying\", 1], [\"<=>\", [\"telling-tru... | {"split": "train", "index": 12871} |
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 5 inhabitants: Alexander, Abigail, Daniel, Henry, and Ella. In Alexander's words: \"(Henry is a knave or Abigail is a knave or Alexander is a knight or Henry is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1760, \"statements\": [[\"and\", [\"or\", [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"telling-truth... | {"split": "train", "index": 12872} |
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 5 inhabitants: Aiden, Amelia, Charlotte, Luke, and Lucas. Aiden commented, \"(Amelia is an altruist if and only if Luke is an altruist) and (Lucas is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1761, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"telling-truth\", 3], [\"<=>... | {"split": "train", "index": 12873} |
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 5 inhabitants: Mia, Noah, Chloe, Elizabeth, and Jack. Mia expressed that Elizabeth is a sage. Noah was heard saying, \"(Elizabeth is a fool if and only if Mia is a fool) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1762, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 0]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"telling-truth\",... | {"split": "train", "index": 12874} |
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 5 inhabitants: Sebastian, Henry, Michael, Matthew, and Aurora. \"it is not the case that (Sebastian is a knight and Henry is a knight),\" Sebastian mentioned. Henry... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1763, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"lying\", 2], [\"lying\", 0]]], [\"not\", [\"not\", [\"lying\", 4]]], [\"and\", [\"<=>\", [\"telling-truth\", 2]... | {"split": "train", "index": 12875} |
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 5 inhabitants: Olivia, Evelyn, Henry, Joseph, and Sophia. In a statement by Olivia: \"Henry is a knight\". Evelyn was heard saying, \"it is not the case that (Henry... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1764, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2... | {"split": "train", "index": 12876} |
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 5 inhabitants: Abigail, Aiden, Riley, Michael, and Sofia. As Abigail put it, \"if (Aiden is a fool if and only if Sofia is a sage) then (Michael is a fool if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1765, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 3], [\"lying\", 1]]], [\"telling-truth\", 4], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 1]... | {"split": "train", "index": 12877} |
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 5 inhabitants: David, Samuel, Emily, Jackson, and Lily. \"if (Emily is a knave and Jackson is a knight) then Jackson is a knight\" - David. According to Samuel, \"i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1766, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"and\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 0]... | {"split": "train", "index": 12878} |
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 5 inhabitants: Victoria, Liam, Alexander, Michael, and Daniel. Victoria remarked, \"if (if Daniel is a sage then Daniel is a fool) then Alexander is a sage\". Liam said t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1767, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"telling-truth\", 2]], [\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\... | {"split": "train", "index": 12879} |
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 5 inhabitants: Grace, Riley, Abigail, William, and James. Grace stated, \"Riley is a hero\". In Riley's words: \"it is not the case that (William is a villain or Wi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1768, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"lying\", 0]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]], ... | {"split": "train", "index": 12880} |
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 5 inhabitants: Liam, William, Alexander, Amelia, and Jack. Liam was heard saying, \"Amelia is a hero\". According to William, \"(Liam is a villain if and only if Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1769, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"<=>\", [\"lying\", 0], [\"lying\", 4]], [\"lying\", 2], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]... | {"split": "train", "index": 12881} |
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 5 inhabitants: Samuel, Zoey, Aria, Lucas, and Benjamin. In a statement by Samuel: \"Lucas is a saint or Lucas is a sinner or (Zoey is a saint if and only if Benjami... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1770, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"telling-truth\", 0], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling... | {"split": "train", "index": 12882} |
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 5 inhabitants: Benjamin, Aria, Penelope, Olivia, and Ella. Benjamin asserted: \"it is not the case that (Olivia is a sage or Penelope is a fool or Aria is a fool)\". Aria... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1771, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 1]]], [\"not\", [\"and\", [\"lying\", 4], [\"lying\", 3]]], [\"lying\", 1], [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3... | {"split": "train", "index": 12883} |
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 5 inhabitants: Ava, Sophia, Liam, Daniel, and James. Ava noted, \"(Sophia is an altruist or Sophia is an egoist) if and only if Sophia is an egoist\". Sophia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1772, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1]], [\"lying\", 1]], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"lying\", 2], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"->\",... | {"split": "train", "index": 12884} |
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 5 inhabitants: Amelia, Ethan, Oliver, Luke, and Riley. Amelia expressed that (if Riley is a pioneer then Amelia is a pioneer) if and only if (Riley is a lagga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1773, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 2]]], [\"or\", [\"->\", [\"t... | {"split": "train", "index": 12885} |
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 5 inhabitants: Daniel, Ava, Aiden, Sophia, and Jackson. Daniel noted, \"(Aiden is a fool) if and only if (Sophia is a sage if and only if Jackson is a sage)\". Ava expres... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1774, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"telling-truth\", 2], [\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 1]]], [\"or\", [\"lying\",... | {"split": "train", "index": 12886} |
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 5 inhabitants: Luke, Daniel, Aiden, Ella, and Joseph. Luke said, \"Daniel is a villain.\" Daniel was heard saying, \"Ella is a hero if and only if (if Daniel is a h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1775, \"statements\": [[\"lying\", 1], [\"<=>\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"and\", [\"lying\", 1], [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\"... | {"split": "train", "index": 12887} |
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 5 inhabitants: Ethan, Emma, Aurora, Henry, and Joseph. Ethan asserted: \"Henry is a sage\". Emma stated, \"Ethan is a fool\". \"Emma is a fool or Henry is a fool or (if J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1776, \"statements\": [[\"telling-truth\", 3], [\"lying\", 0], [\"or\", [\"lying\", 1], [\"lying\", 3], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"or\", [\"-... | {"split": "train", "index": 12888} |
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 5 inhabitants: Amelia, Samuel, Penelope, Jacob, and Owen. In Amelia's words: \"(Amelia is a pioneer or Penelope is a pioneer) and (if Amelia is a pioneer then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1777, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"and\", [\"->\", [\"lying\", 0], [\"telling-truth\", 2]], [\"telling-truth... | {"split": "train", "index": 12889} |
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 5 inhabitants: Mason, Emily, Ella, William, and Avery. \"Emily is a hero,\" Mason mentioned. \"(Ella is a hero or William is a hero or Emily is a hero or William is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1778, \"statements\": [[\"not\", [\"lying\", 1]], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\"... | {"split": "train", "index": 12890} |
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 5 inhabitants: Owen, Lily, Benjamin, Avery, and Joseph. Owen was heard saying, \"(Joseph is a laggard if and only if Benjamin is a laggard) or (Benjamin is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1779, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"lying\", 1]], [\"lying\", 2]], [\"not\", [\"lying\", 0]], [\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]... | {"split": "train", "index": 12891} |
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 5 inhabitants: Lily, Ethan, Sofia, Avery, and Sophia. \"(Avery is a saint) and (Sofia is a saint if and only if Avery is a sinner) and (Avery is a sinner or Sophia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1780, \"statements\": [[\"and\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"... | {"split": "train", "index": 12892} |
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 5 inhabitants: Victoria, William, Elizabeth, Alexander, and Henry. Victoria asserted: \"Henry is a laggard\". William told you that (Henry is a pioneer) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1781, \"statements\": [[\"lying\", 4], [\"<=>\", [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"and\", [\"lying\", 3], [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 4], [\"lying\", 1]],... | {"split": "train", "index": 12893} |
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 5 inhabitants: Sebastian, Joseph, Amelia, Sophia, and Riley. Sebastian remarked, \"(Joseph is a saint if and only if Sophia is a saint) or Riley is a saint or (Soph... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1782, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"telling-... | {"split": "train", "index": 12894} |
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 5 inhabitants: Lily, Jack, Ava, Michael, and Mason. \"Ava is a saint,\" Lily declared. In Jack's words: \"Jack is a saint\". Ava noted, \"if Jack is a saint then (A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1783, \"statements\": [[\"telling-truth\", 2], [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"lying\", 0]]], [\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 0... | {"split": "train", "index": 12895} |
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 5 inhabitants: Jackson, Victoria, Aiden, Owen, and William. Jackson said that if (Victoria is a saint or William is a sinner) then (Aiden is a sinner or Victoria is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1784, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [... | {"split": "train", "index": 12896} |
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 5 inhabitants: Jacob, Henry, Alexander, Samuel, and Emily. Jacob told you that if (Henry is a saint) then Emily is a sinner. In Henry's words: \"if (Samuel is a sin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1785, \"statements\": [[\"->\", [\"not\", [\"lying\", 1]], [\"lying\", 4]], [\"->\", [\"and\", [\"lying\", 3], [\"lying\", 0], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"no... | {"split": "train", "index": 12897} |
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 5 inhabitants: Emma, Riley, Emily, Evelyn, and Avery. \"(Evelyn is an angel and Emily is an angel and Avery is a devil and Avery is an angel) if and only if (Avery is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1786, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", ... | {"split": "train", "index": 12898} |
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 5 inhabitants: Liam, Benjamin, Victoria, Grace, and Aurora. Liam asserted: \"it is not the case that (Grace is a devil if and only if Aurora is an angel)\". Benjamin ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1787, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"telling-truth\", 4], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", ... | {"split": "train", "index": 12899} |
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