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 sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Samuel, Charlotte, Harper, Amelia, and Avery. Samuel remarked, \"(Avery is a fool) or (Harper is a fool)\". Charlotte asserted: \"Avery is a fool\". \"(Ave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 510, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]]], [\"lying\", 4], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0]], [\"and\", [\"lying\", 0], [\"lying\", 4]]], [\"no... | {"split": "train", "index": 9400} |
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: Aiden, Ella, Oliver, James, and Aria. Aiden stated, \"(Oliver is a hero if and only if Ella is a villain) if and only if (Aria is a villain if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 511, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"<=>\", [\"lying\", 4], [\"lying\", 1]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"telling-truth\", 4], [\"te... | {"split": "train", "index": 9401} |
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, Aurora, Amelia, Oliver, and Emily. Charlotte said, \"Emily is a sinner.\" Aurora asserted: \"Emily is a sinner or Charlotte is a sinner\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 512, \"statements\": [[\"lying\", 4], [\"or\", [\"lying\", 4], [\"lying\", 0]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2... | {"split": "train", "index": 9402} |
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: Riley, Mason, Olivia, Zoey, and Ethan. Riley said that (Zoey is an egoist or Olivia is an egoist or Ethan is an altruist) or (Olivia is an altr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 513, \"statements\": [[\"or\", [\"or\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"lying\", 2], [\... | {"split": "train", "index": 9403} |
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: Jacob, Chloe, Mia, Scarlett, and James. Jacob stated, \"(Jacob is a pioneer and Chloe is a pioneer and James is a laggard) or James is a laggar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 514, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 4]], [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"lying\", 2]], [\"or\", [\... | {"split": "train", "index": 9404} |
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: Samuel, Ella, Penelope, Isabella, and Michael. Samuel noted, \"Ella is an egoist and (Isabella is an altruist and Penelope is an egoist and Pen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 515, \"statements\": [[\"and\", [\"lying\", 1], [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"lying\", 3]], [\"lying\", 2]], [... | {"split": "train", "index": 9405} |
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: Aurora, Lily, Jackson, Owen, and Grace. According to Aurora, \"(Owen is a hero if and only if Owen is a villain) or (Lily is a villain and Grace is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 516, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"lying\", 1], [\"lying\", 4], [\"lying\", 2]]], [\"lying\", 2], [\"telling-truth\", 0], [\"or\", [\"<=>\", [\"telling-truth\", 4], [... | {"split": "train", "index": 9406} |
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, Mason, William, Ella, and Harper. Olivia told you that (Mason is an altruist if and only if Harper is an egoist) or (Mason is an egoist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 517, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 1], [\"lying\", 3]]], [\"->\", [\"telling-truth\", 0], [\"or\", [\"lying\", 4], [\"lying\", 0]]], [\"and\", [\"->\", [\"te... | {"split": "train", "index": 9407} |
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: Charlotte, Oliver, William, Liam, and Grace. Charlotte remarked, \"it is not the case that (if William is a fool then Liam is a fool)\". \"(if Grace is a f... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 518, \"statements\": [[\"not\", [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"... | {"split": "train", "index": 9408} |
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, Owen, Logan, Lily, and Liam. \"(Logan is a saint) or (Liam is a sinner) or Logan is a saint\" - Ethan. In a statement by Owen: \"Logan is a si... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 519, \"statements\": [[\"or\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 2]], [\"lying\", 2], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4]], [\"telling-truth\", 0]], [\"<=>\... | {"split": "train", "index": 9409} |
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: Emma, Matthew, Jackson, Olivia, and David. Emma expressed that Olivia is a pioneer and (Olivia is a laggard). \"Jackson is a laggard,\" Matthew... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 520, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 3]]], [\"lying\", 2], [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"lying\", 3], [\"lying\", 4], [\"tellin... | {"split": "train", "index": 9410} |
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, Zoey, Lily, Benjamin, and Joseph. Liam said that if Liam is a hero then (if Benjamin is a hero then Zoey is a hero). Zoey said that (if Joseph ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 521, \"statements\": [[\"->\", [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 0]], [\"lying\", 4]], [\"and\", [\"telling-truth\", 3], [\... | {"split": "train", "index": 9411} |
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: Abigail, Ethan, Emma, David, and Joseph. \"if (Emma is a sinner if and only if Joseph is a sinner) then (Joseph is a saint or David is a sinner),\" A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 522, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"lyin... | {"split": "train", "index": 9412} |
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, Jack, Abigail, Mia, and Lily. Mason expressed that (Abigail is a villain) if and only if (Lily is a villain and Mia is a hero and Jack is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 523, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 4]]... | {"split": "train", "index": 9413} |
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: Chloe, Liam, Sofia, Riley, and Aria. Chloe asserted: \"(Sofia is a sage or Aria is a sage) and (Sofia is a fool or Liam is a sage) and (Sofia is a fool)\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 524, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"lying\", 2], [\"or\", [\"<=>\", [\"telling-trut... | {"split": "train", "index": 9414} |
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: Emily, Chloe, Sofia, Avery, and Aria. Emily expressed that (Aria is an angel and Aria is a devil and Sofia is an angel) or (Avery is an angel and Chloe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 525, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"and\", [\"lying\", 4], [\"telling-... | {"split": "train", "index": 9415} |
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: Ethan, Noah, Abigail, James, and Sebastian. Ethan noted, \"if (Noah is a knave and Ethan is a knight) then (Abigail is a knave)\". \"(if Sebastian is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 526, \"statements\": [[\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"... | {"split": "train", "index": 9416} |
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: Riley, Scarlett, Sofia, Amelia, and Ethan. In a statement by Riley: \"(Scarlett is a laggard or Riley is a pioneer or Sofia is a pioneer) and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 527, \"statements\": [[\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"lying\", 3], [\"telling-truth\", 0], [... | {"split": "train", "index": 9417} |
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: Ella, Daniel, Grace, Mason, and Noah. Ella asserted: \"(Noah is an angel and Mason is a devil and Grace is a devil) if and only if (Noah is an angel or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 528, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\"... | {"split": "train", "index": 9418} |
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: Sofia, Ethan, Mason, Aiden, and Sophia. According to Sofia, \"(if Ethan is a knave then Sofia is a knight) or (Ethan is a knight or Ethan is a knave)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 529, \"statements\": [[\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"ly... | {"split": "train", "index": 9419} |
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: Grace, Chloe, Evelyn, Isabella, and Ava. Grace said, \"(if Chloe is a sage then Chloe is a fool) if and only if (Chloe is a fool or Evelyn is a sage or Gra... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 530, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"or\", [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\",... | {"split": "train", "index": 9420} |
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, Michael, Mason, Scarlett, and Aria. Liam said, \"it is not the case that (Aria is a knight if and only if Mason is a knight).\" Michael remarke... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 531, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3], [\"telling-truth\", 2]]], [\"not\", [\"telling-truth\", 4]], [\"telling-tr... | {"split": "train", "index": 9421} |
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: Sebastian, Mason, Lucas, James, and Penelope. Sebastian noted, \"if (Mason is a devil or Penelope is a devil or Mason is an angel) then (if Mason is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 532, \"statements\": [[\"->\", [\"or\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 1]], [\"->\", [\"lying\", 1], [\"lying\", 2]]], [\"or\", [\"not\", [\"lying\", 3]], [\"and\", [\"telling-truth\", 2], [\"telling-truth... | {"split": "train", "index": 9422} |
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: James, Benjamin, Elizabeth, Sophia, and Emma. As James put it, \"(if Sophia is an egoist then Elizabeth is an egoist) and (if Elizabeth is an e... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 533, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"lying\", 0], [\"telling-truth... | {"split": "train", "index": 9423} |
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: Lucas, Abigail, David, Isabella, and Oliver. \"Isabella is a sinner\" - Lucas. \"it is not the case that (Oliver is a saint and Oliver is a sinner an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 534, \"statements\": [[\"lying\", 3], [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"lying\", 2]]], [\"and\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 0], [\"telling-trut... | {"split": "train", "index": 9424} |
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, Lily, Charlotte, Avery, and Henry. Ava expressed that (Henry is a saint if and only if Avery is a sinner) or Lily is a sinner or Lily is a saint... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 535, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"lying\", 1], [\"telling-truth\", 1]], [\"and\", [\"lying\", 0], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 1]... | {"split": "train", "index": 9425} |
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: Riley, Victoria, Evelyn, Henry, and Jack. Riley commented, \"(Jack is a knave if and only if Evelyn is a knight) if and only if (Evelyn is a knight a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 536, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 0]]... | {"split": "train", "index": 9426} |
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: Penelope, Amelia, Oliver, Lily, and Zoey. Penelope said, \"(if Oliver is a devil then Zoey is an angel) or (Amelia is an angel or Oliver is an angel or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 537, \"statements\": [[\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"<=>\", [\"->\", [... | {"split": "train", "index": 9427} |
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: Evelyn, Elizabeth, Liam, Lily, and Noah. Evelyn remarked, \"if (Elizabeth is an angel and Liam is a devil and Lily is an angel) then (if Lily is an ang... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 538, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"lying\", 0]]], [\"->\", [\"or\", [\"te... | {"split": "train", "index": 9428} |
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, Sophia, Oliver, Samuel, and Lucas. In Owen's words: \"Lucas is a sage or (Lucas is a sage) or (Oliver is a fool or Sophia is a fool or Lucas is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 539, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"lying\", 1], [\"telling-truth\", 4]]], [\"<=>\", [\"telling-truth\", 2], [\"and\", [\"lying\", 4], [\"telling-truth\... | {"split": "train", "index": 9429} |
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: Owen, Jackson, Amelia, Aria, and Samuel. As Owen put it, \"(Aria is an egoist) and (Samuel is an egoist and Jackson is an altruist and Amelia i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 540, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 4], [\"telling-truth\", 1], [\"lying\", 2]], [\"or\", [\"lying\", 3], [\"lying\", 2]]], [\"telling-truth\", 0], [\"<=>\", [\"->\", [\"tel... | {"split": "train", "index": 9430} |
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, Harper, James, Logan, and Benjamin. In a statement by Lily: \"if Logan is a saint then (Logan is a sinner and James is a sinner)\". Harper rema... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 541, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"and\", [\"lying\", 3], [\"lying\", 2]]], [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"tellin... | {"split": "train", "index": 9431} |
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: Scarlett, James, Chloe, Olivia, and Jack. Scarlett remarked, \"if (Chloe is a laggard or James is a laggard) then (Olivia is a laggard and Jack... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 542, \"statements\": [[\"->\", [\"or\", [\"lying\", 2], [\"lying\", 1]], [\"and\", [\"lying\", 3], [\"lying\", 4]]], [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"ly... | {"split": "train", "index": 9432} |
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: Lucas, William, Elizabeth, Emily, and Owen. According to Lucas, \"Elizabeth is a pioneer\". \"Emily is a pioneer and (Elizabeth is a pioneer or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 543, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"not\", [\"lying\", 1]]]... | {"split": "train", "index": 9433} |
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, Luke, Scarlett, Benjamin, and Isabella. \"(Scarlett is a sinner) or (Luke is a sinner if and only if Luke is a saint)\" - Mason. Luke stated, ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 544, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"lying\", 2]... | {"split": "train", "index": 9434} |
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, Logan, Michael, Daniel, and Zoey. As Joseph put it, \"(Daniel is a laggard if and only if Logan is a pioneer) and (Michael is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 545, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"->\", [\"or\", [\"tell... | {"split": "train", "index": 9435} |
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: David, Jack, William, Olivia, and Zoey. \"if (Jack is a sage) then (Jack is a fool if and only if Olivia is a sage)\" - David. Jack stated, \"David is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 546, \"statements\": [[\"->\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"telling-truth\", 0], [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 3]],... | {"split": "train", "index": 9436} |
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: William, Samuel, Jack, Oliver, and Luke. William expressed that if (Samuel is a hero if and only if Jack is a hero) then (William is a villain). Samu... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 547, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 0]]], [\"telling-truth\", 3], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 0]], [\"<=>\... | {"split": "train", "index": 9437} |
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: Aurora, Owen, Sophia, Oliver, and Mia. Aurora remarked, \"(Owen is an altruist if and only if Mia is an egoist) if and only if (Mia is an egois... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 548, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 1]]], [\"->\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 2], [\"tellin... | {"split": "train", "index": 9438} |
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: Oliver, Olivia, Luke, Victoria, and Emma. Oliver was heard saying, \"(Emma is a saint and Olivia is a sinner and Luke is a saint) if and only if (Oli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 549, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 1]]], [\"telling-truth\", 3], [\"telling-truth\", ... | {"split": "train", "index": 9439} |
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: Joseph, Michael, Ava, Matthew, and Jacob. Joseph told you that (Joseph is an angel if and only if Michael is an angel) and (Michael is a devil) and (Av... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 550, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 4]]], [\"or\", [\"not\", [\"lying\", 3... | {"split": "train", "index": 9440} |
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: Evelyn, Ethan, Mia, Mason, and Aiden. Evelyn asserted: \"(Mason is a fool if and only if Aiden is a fool) if and only if Mason is a fool\". Ethan told you ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 551, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"lying\", 3]], [\"not\", [\"telling-truth\", 2]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"or\", ... | {"split": "train", "index": 9441} |
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, Jacob, Zoey, Owen, and Henry. Matthew noted, \"(Zoey is a pioneer) or (Henry is a pioneer if and only if Henry is a laggard)\". Jacob ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 552, \"statements\": [[\"or\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"telling-truth\", 2], [\"telling-truth\", 3], [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 0]]], [\"not\", [\"-... | {"split": "train", "index": 9442} |
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: Lily, Joseph, Liam, Sophia, and Harper. According to Lily, \"Sophia is a fool\". Joseph stated, \"if (Harper is a fool and Liam is a fool and Joseph is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 553, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]]], [\"telling-truth\", 0], [\"telling-truth\", 1], [\"and\", [\"and\... | {"split": "train", "index": 9443} |
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: Amelia, Sophia, Evelyn, Abigail, and Mason. Amelia noted, \"(Abigail is an egoist if and only if Mason is an egoist) or (Evelyn is an egoist) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 554, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 3]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], ... | {"split": "train", "index": 9444} |
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: Emma, Avery, Ethan, Scarlett, and Owen. Emma stated, \"Scarlett is a fool\". According to Avery, \"Owen is a fool\". Ethan was heard saying, \"(Owen is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 555, \"statements\": [[\"lying\", 3], [\"not\", [\"telling-truth\", 4]], [\"or\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 3], [\"lying\", 0]], [\"->\", [\"lying\", 1], [\"lying\", 0]]], [\"<=>\", [\"telling-truth\", 0... | {"split": "train", "index": 9445} |
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: Lily, Aurora, Jacob, Sofia, and Logan. \"Jacob is a knave,\" Lily declared. Aurora remarked, \"Lily is a knight\". Jacob stated, \"Jacob is a knight ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 556, \"statements\": [[\"lying\", 2], [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 2]], [\"or\", [\"lying\", 1], [\"lying\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\",... | {"split": "train", "index": 9446} |
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, Samuel, James, Ava, and William. As Charlotte put it, \"it is not the case that (Charlotte is a saint and James is a sinner and Ava is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 557, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 3]]], [\"->\", [\"lying\", 2], [\"and\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"lying\", 4], [\"or\", [\"and\", [\"tel... | {"split": "train", "index": 9447} |
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: Jack, William, Lily, Ella, and Sebastian. According to Jack, \"(Jack is a pioneer and William is a pioneer) or (Lily is a laggard and Jack is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 558, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 3]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"<=>\... | {"split": "train", "index": 9448} |
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: Noah, Harper, Luke, Amelia, and Isabella. Noah remarked, \"Harper is a villain\". Harper told you that (Isabella is a hero or Noah is a hero) and Har... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 559, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"telling-truth\", 1], [\"and\", [\"lying\", 2], [\"lying\", 3]]], [\"lying\", 1], [\"->\", [\"lying... | {"split": "train", "index": 9449} |
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: Sofia, Ethan, Victoria, Jack, and Mia. Sofia stated, \"Victoria is an altruist if and only if (if Jack is an altruist then Ethan is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 560, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"<... | {"split": "train", "index": 9450} |
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: Victoria, Emma, Logan, Elizabeth, and Aria. Victoria commented, \"it is not the case that (Elizabeth is a devil or Aria is a devil or Elizabeth is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 561, \"statements\": [[\"not\", [\"or\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"and\", [\"or... | {"split": "train", "index": 9451} |
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: Ava, Zoey, Benjamin, Logan, and Sofia. \"Zoey is a devil or (if Benjamin is a devil then Benjamin is an angel),\" Ava mentioned. \"(Benjamin is an ange... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 562, \"statements\": [[\"or\", [\"lying\", 1], [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"->\", [\"<=>... | {"split": "train", "index": 9452} |
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, Penelope, Ava, Aiden, and Jackson. Oliver asserted: \"Ava is a hero\". Penelope remarked, \"if (Jackson is a villain if and only if Oliver is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 563, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 0]], [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"<=... | {"split": "train", "index": 9453} |
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, Ava, Samuel, Liam, and Abigail. As Amelia put it, \"it is not the case that (Abigail is a devil and Ava is a devil)\". Ava said that it is not ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 564, \"statements\": [[\"not\", [\"and\", [\"lying\", 4], [\"lying\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"<=>\", [\"lying\", 3], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\... | {"split": "train", "index": 9454} |
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, Grace, Sofia, Benjamin, and Penelope. Jacob said that Benjamin is a sinner. Grace told you that if Sofia is a saint then (if Jacob is a sinner... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 565, \"statements\": [[\"lying\", 3], [\"->\", [\"telling-truth\", 2], [\"->\", [\"lying\", 0], [\"lying\", 3]]], [\"or\", [\"and\", [\"lying\", 0], [\"lying\", 1], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 1], [\... | {"split": "train", "index": 9455} |
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: Matthew, Ella, Abigail, Owen, and Lily. Matthew told you that (Ella is a devil if and only if Lily is an angel) and (Abigail is an angel and Lily is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 566, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"lying\", 1]], [\"and\", [\"or\", [\"telling-truth\", 4], ... | {"split": "train", "index": 9456} |
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: Amelia, Samuel, Evelyn, Avery, and Abigail. Amelia said, \"it is not the case that (Evelyn is a knave or Avery is a knight or Samuel is a knave).\" S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 567, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 1]]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 2]]],... | {"split": "train", "index": 9457} |
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, Oliver, Jacob, Mia, and Zoey. Samuel stated, \"(Zoey is a devil or Jacob is an angel) or (Zoey is a devil and Jacob is an angel) or (Samuel is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 568, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"and\", [\"lying\", 4], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"lying\", 3]], [\"or\", [\"<=>\", [\"telling-t... | {"split": "train", "index": 9458} |
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, Alexander, Aiden, Scarlett, and Ava. Mia said that (Ava is an altruist and Aiden is an egoist) or (if Alexander is an altruist then Scarle... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 569, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"telling-truth\", 0], [\"lying\", 3], [\"->\", [\"lying\", 1], [\"<=>\", [\"telling-truth\"... | {"split": "train", "index": 9459} |
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, Joseph, Zoey, Penelope, and Luke. Alexander said that (if Joseph is a fool then Penelope is a sage) and (Luke is a fool if and only if Zoey is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 570, \"statements\": [[\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"lying\", 0], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 1], [\"te... | {"split": "train", "index": 9460} |
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: Benjamin, Matthew, Zoey, Oliver, and Penelope. According to Benjamin, \"(Penelope is a villain) and Oliver is a hero\". \"(Benjamin is a villain or O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 571, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 3]], [\"and\", [\"or\", [\"lying\", 0], [\"lying\", 3]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"and\", [\"and\", [\... | {"split": "train", "index": 9461} |
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: Victoria, Luke, Elizabeth, Sebastian, and James. Victoria stated, \"(if Elizabeth is an egoist then Elizabeth is an altruist) or (James is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 572, \"statements\": [[\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"lying\", 4], [\"telli... | {"split": "train", "index": 9462} |
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, Grace, Mason, Alexander, and Aria. \"Mason is a knave,\" Sebastian declared. In Grace's words: \"(Aria is a knave if and only if Grace is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 573, \"statements\": [[\"lying\", 2], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"->\", [\"telling-truth\", 1], [\"<=>\", [\"lying\", 4], [\"telling-truth\... | {"split": "train", "index": 9463} |
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: Chloe, Logan, Mason, Scarlett, and Harper. According to Chloe, \"(Mason is an altruist) or (if Harper is an altruist then Scarlett is an egoist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 574, \"statements\": [[\"or\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"or... | {"split": "train", "index": 9464} |
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: Sebastian, Penelope, Victoria, Joseph, and Scarlett. Sebastian expressed that (Victoria is a hero) or (Scarlett is a hero if and only if Scarlett is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 575, \"statements\": [[\"or\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"or\", [\"or\", [\"lying\", 0], [\"lying\", 2]], [\"and\", [\"t... | {"split": "train", "index": 9465} |
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: Luke, Jack, Scarlett, Harper, and Aria. Luke asserted: \"if (Jack is a knight and Luke is a knight and Aria is a knave) then Harper is a knave\". Jac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 576, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 4]], [\"lying\", 3]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\... | {"split": "train", "index": 9466} |
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: Michael, Emily, Benjamin, Henry, and Jack. As Michael put it, \"if (Henry is a villain or Jack is a villain or Benjamin is a villain) then (Jack is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 577, \"statements\": [[\"->\", [\"or\", [\"lying\", 3], [\"lying\", 4], [\"lying\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"lying\", 0], [\"and\", [\"telling-truth\", 3], [\"lying\", 2]], [\"telling-truth\", 1]], ... | {"split": "train", "index": 9467} |
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, Evelyn, Liam, Riley, and Zoey. Owen said that it is not the case that (Riley is a knave or Liam is a knave or Zoey is a knave). Evelyn was hear... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 578, \"statements\": [[\"not\", [\"or\", [\"lying\", 3], [\"lying\", 2], [\"lying\", 4]]], [\"lying\", 4], [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"tell... | {"split": "train", "index": 9468} |
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: Harper, Samuel, Alexander, Emily, and Isabella. Harper remarked, \"it is not the case that (Samuel is a villain)\". Samuel noted, \"Harper is a hero ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 579, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"and\", [\"not\", [\"lying\", 1]], [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 2], [\"lying\", 4... | {"split": "train", "index": 9469} |
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: Samuel, Luke, Jackson, Henry, and Jack. Samuel was heard saying, \"if (Jackson is a laggard) then (Luke is a laggard if and only if Henry is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 580, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"telling-truth\", 3]], [\"lying\", 0], [\"not\... | {"split": "train", "index": 9470} |
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: Riley, Amelia, Lily, Emily, and Noah. \"(Noah is a knight or Lily is a knight) if and only if (Lily is a knave if and only if Noah is a knave),\" Ril... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 581, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"lying\", 0], ... | {"split": "train", "index": 9471} |
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: Isabella, Mason, Ella, Evelyn, and Jacob. Isabella noted, \"(Ella is a laggard or Jacob is a pioneer) and Evelyn is a laggard and (if Ella is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 582, \"statements\": [[\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4]], [\"lying\", 3], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"lying\", 3]], [... | {"split": "train", "index": 9472} |
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: David, Oliver, Noah, Lucas, and Jacob. David asserted: \"(Lucas is a sage) if and only if (if Oliver is a sage then Noah is a sage)\". Oliver told you that... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 583, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"telling-truth\", 4], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 0], [\"telling-truth\", 2]], ... | {"split": "train", "index": 9473} |
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: Michael, Grace, Luke, Sebastian, and Jackson. \"Grace is a sage,\" Michael mentioned. \"Sebastian is a fool,\" Grace claimed. \"it is not the case that (Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 584, \"statements\": [[\"telling-truth\", 1], [\"lying\", 3], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"lying\", 0]], [\"<=>\", [\"telling-truth... | {"split": "train", "index": 9474} |
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: Charlotte, Jack, Oliver, Isabella, and Jacob. In Charlotte's words: \"if (if Isabella is a pioneer then Jacob is a laggard) then (if Jacob is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 585, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 1]]], [\"<=>\",... | {"split": "train", "index": 9475} |
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: Victoria, Ethan, Aiden, Aria, and Avery. According to Victoria, \"if (Aiden is an altruist) then (Ethan is an altruist and Aria is an egoist)\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 586, \"statements\": [[\"->\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"lying\", 3]], [\"or\", [\"and\", [\"lying\", 0], [\"telling-t... | {"split": "train", "index": 9476} |
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: Aurora, Penelope, Logan, Noah, and Charlotte. Aurora asserted: \"Penelope is a devil or (Charlotte is an angel or Penelope is a devil or Noah is an ang... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 587, \"statements\": [[\"or\", [\"lying\", 1], [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]]],... | {"split": "train", "index": 9477} |
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, Matthew, Ella, Noah, and Jackson. Mia asserted: \"(Matthew is an egoist) if and only if (Ella is an altruist or Matthew is an altruist or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 588, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"lying\", 3], [\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\"... | {"split": "train", "index": 9478} |
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: Avery, Matthew, Noah, Oliver, and Logan. According to Avery, \"Oliver is an angel\". Matthew said that (Logan is an angel or Logan is a devil or Avery ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 589, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"lying\", 0]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"and\", [\"and\", [\"lying\", 4], [\"tellin... | {"split": "train", "index": 9479} |
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: Chloe, Samuel, Lily, Mason, and Jackson. \"if (Lily is a pioneer or Samuel is a laggard or Chloe is a pioneer) then (if Jackson is a laggard th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 590, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 0]], [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"and\", [\"telling-truth\", 4], [\"or\", [\"lying\", 4], [\"telling-... | {"split": "train", "index": 9480} |
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: Elizabeth, Aiden, Amelia, Sophia, and Zoey. \"Aiden is a devil,\" Elizabeth declared. Aiden said that (Amelia is a devil) or (Amelia is an angel and Zo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 591, \"statements\": [[\"lying\", 1], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"or\", [\"telling-truth\... | {"split": "train", "index": 9481} |
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: Matthew, Alexander, Benjamin, Lucas, and Luke. \"(Alexander is a knight and Luke is a knave) and (Benjamin is a knight or Alexander is a knight) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 592, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 0]]], [\"telling... | {"split": "train", "index": 9482} |
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: Joseph, Abigail, Penelope, William, and Elizabeth. In Joseph's words: \"(Penelope is an altruist and Abigail is an altruist) or William is an e... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 593, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"lying\", 3]], [\"<=>\", [\"lying\", 0], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1... | {"split": "train", "index": 9483} |
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: Lily, Penelope, Samuel, Alexander, and Ella. \"(Alexander is a sage and Samuel is a sage and Penelope is a sage) and Penelope is a sage and (if Ella is a f... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 594, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 1], [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"lying\", 0], [\"->\", [\"and\", [\"lying\... | {"split": "train", "index": 9484} |
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, Matthew, Sebastian, Daniel, and Aurora. Mason remarked, \"Sebastian is a fool\". \"(if Mason is a sage then Aurora is a sage) or (Daniel is a fool i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 595, \"statements\": [[\"lying\", 2], [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 3], [\"lying\", 0]], [\"lying\", 3]], [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"<=>... | {"split": "train", "index": 9485} |
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: Mason, Avery, Owen, William, and Henry. \"if (William is an altruist if and only if Mason is an altruist) then (if Mason is an altruist then He... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 596, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]], [\"->\", [\"lying... | {"split": "train", "index": 9486} |
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: Charlotte, Michael, Joseph, Aiden, and Penelope. As Charlotte put it, \"(Charlotte is a villain) or Joseph is a villain\". Michael asserted: \"(Josep... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 597, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 2]], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"lying\", ... | {"split": "train", "index": 9487} |
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: Scarlett, Liam, Emma, Aurora, and Matthew. Scarlett said that it is not the case that (Matthew is a saint if and only if Emma is a sinner). \"Emma is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 598, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"lying\", 2], [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"telling-truth\", 0]... | {"split": "train", "index": 9488} |
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: William, Alexander, Noah, Luke, and James. \"Luke is a devil if and only if Alexander is a devil,\" William mentioned. \"Noah is a devil,\" Alexander c... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 599, \"statements\": [[\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"lying\", 2], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"lying\", 4], [\"not\", [\"not\", [\"ly... | {"split": "train", "index": 9489} |
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, Ethan, Jackson, Michael, and Elizabeth. In Charlotte's words: \"(Ethan is an altruist and Ethan is an egoist and Jackson is an egois... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 600, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1], [\"lying\", 2]], [\"or\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 2], [\"or\", [\"tellin... | {"split": "train", "index": 9490} |
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: Zoey, Sophia, Avery, Jack, and Joseph. Zoey expressed that (Sophia is a villain and Avery is a villain and Zoey is a hero) if and only if (Joseph is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 601, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 0]], [\"not\", [\"lying\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [\"te... | {"split": "train", "index": 9491} |
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: Isabella, Elizabeth, Daniel, James, and Olivia. In a statement by Isabella: \"(James is a sinner if and only if Elizabeth is a saint) or (James is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 602, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 0]], [\"<=>\", [\"telling-t... | {"split": "train", "index": 9492} |
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: Ava, Abigail, Scarlett, Riley, and Evelyn. \"if (Ava is a pioneer if and only if Evelyn is a pioneer) then (Riley is a laggard)\" - Ava. Abigai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 603, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"telling-truth\", 2], [\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"or\", [\"lyin... | {"split": "train", "index": 9493} |
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, Liam, Noah, Olivia, and Mason. Sebastian told you that Mason is a saint. Liam remarked, \"Sebastian is a sinner\". In Noah's words: \"Maso... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 604, \"statements\": [[\"telling-truth\", 4], [\"lying\", 0], [\"not\", [\"lying\", 4]], [\"<=>\", [\"not\", [\"lying\", 0]], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0... | {"split": "train", "index": 9494} |
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: Ella, Aiden, Zoey, Grace, and Joseph. Ella stated, \"it is not the case that (if Grace is a sage then Grace is a fool)\". \"if (Grace is a fool and Aiden i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 605, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"te... | {"split": "train", "index": 9495} |
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: Matthew, Ella, Liam, James, and William. \"it is not the case that (Ella is a fool),\" Matthew mentioned. Ella told you that (Matthew is a sage) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 606, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"not\", [\"lying\", 0]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"->\", [\"lying\", 3], [\"->\", [\"lying\", 0], [\"lying\",... | {"split": "train", "index": 9496} |
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, Riley, Aurora, Mason, and Penelope. Aiden remarked, \"(Aurora is a knave or Mason is a knight) and (Mason is a knave and Riley is a knave)\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 607, \"statements\": [[\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]], [\"and\", [\"lying\", 3], [\"lying\", 1]]], [\"and\", [\"not\", [\"lying\", 0]], [\"not\", [\"lying\", 2]]], [\"lying\", 1], [\"or\", [\"and\", ... | {"split": "train", "index": 9497} |
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: Oliver, Jack, Lucas, Victoria, and Avery. Oliver said, \"it is not the case that (Victoria is an egoist and Lucas is an altruist and Avery is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 608, \"statements\": [[\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"telling-truth\", 4]], [\"and\", [\"->\", [\"telling-trut... | {"split": "train", "index": 9498} |
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: Benjamin, Noah, Evelyn, Jack, and Jackson. Benjamin asserted: \"(Benjamin is a knight and Jackson is a knave and Evelyn is a knave) or (Evelyn is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 609, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\",... | {"split": "train", "index": 9499} |
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