data_source stringclasses 1
value | prompt stringlengths 948 4.18k | ability stringclasses 1
value | reward_model stringlengths 1.89k 8.09k | extra_info stringlengths 30 34 |
|---|---|---|---|---|
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Lucas, Ella, Samuel, Owen, Avery, David, Riley, Sebastian, and Emily. Lucas was heard saying, \"if (if (if Owen is a sinner then Samuel is a saint) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1266, \"statements\": [[\"->\", [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 6]]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"or\", [\"lyin... | {"split": "train", "index": 14600} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Riley, Ava, Mia, Liam, Amelia, Alexander, Mason, Henry, and Chloe. Riley expressed that Ava is an egoist. Ava asserted: \"((Riley is an egoist ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1267, \"statements\": [[\"lying\", 1], [\"<=>\", [\"<=>\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 1]], [\"telling-truth\", 6]], [\"and\", [\"lying\", 4], [\"not\", [\"lying\", 5]]]], [\"and\", [\"or\", [\"and\", [\"lyin... | {"split": "train", "index": 14601} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Ethan, Ella, Michael, Abigail, Sofia, Penelope, Aiden, Jackson, and Lucas. Ethan said, \"it is not the case that ((Ethan is a villain) and Jackson is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1268, \"statements\": [[\"not\", [\"and\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 7]]], [\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 6]], [\"or\", [\"lying\", 3], [\"lying\", 0]]], [\"and\", [\"->\", [\"ly... | {"split": "train", "index": 14602} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Harper, Sophia, Zoey, Emma, Owen, Evelyn, Michael, Penelope, and Aurora. \"(if (Evelyn is a sage if and only if Sophia is a sage) then (Owen is a fool and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1269, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"and\", [\"lying\", 4], [\"telling-truth\", 8]]], [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"<=>\", [\"telling-... | {"split": "train", "index": 14603} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Abigail, Harper, Sebastian, Aria, Avery, Oliver, Joseph, Lily, and Mia. \"it is not the case that (if Lily is a villain then (if Oliver is a villain ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1270, \"statements\": [[\"not\", [\"->\", [\"lying\", 7], [\"->\", [\"lying\", 5], [\"lying\", 4]]]], [\"<=>\", [\"and\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 0]], [\"and\", [\"lying\", 0], [\"lying\", 5]]], [\"not\",... | {"split": "train", "index": 14604} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Alexander, David, Amelia, James, Charlotte, Samuel, Benjamin, Jackson, and Abigail. \"it is not the case that (it is not the case that (if Samu... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1271, \"statements\": [[\"not\", [\"not\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 4]]]], [\"lying\", 3], [\"<=>\", [\"not\", [\"and\", [\"lying\", 6], [\"telling-truth\", 8]]], [\"telling-truth\", 0]], [\"or\", [... | {"split": "train", "index": 14605} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Penelope, Ella, Grace, Henry, Liam, Lily, Sebastian, Elizabeth, and Jackson. As Penelope put it, \"(if Sebastian is a knave then (Lily is a knight)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1272, \"statements\": [[\"or\", [\"->\", [\"lying\", 6], [\"not\", [\"lying\", 5]]], [\"or\", [\"not\", [\"lying\", 5]], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"not\", [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 2],... | {"split": "train", "index": 14606} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Liam, Ethan, Lily, Abigail, Logan, Isabella, Amelia, Sebastian, and David. Liam noted, \"(if Ethan is a laggard then (Liam is a pioneer if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1273, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 7]]], [\"->\", [\"->\", [\"lying\", 8], [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 7]]]], [\"o... | {"split": "train", "index": 14607} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Avery, Joseph, Emily, Benjamin, Owen, Henry, Jack, Abigail, and Mason. \"it is not the case that (if (Abigail is a pioneer if and only if Avery... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1274, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 0]], [\"not\", [\"lying\", 3]]]], [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 5], [\"->\", [\"or\", [\"lying\", 6], [\"l... | {"split": "train", "index": 14608} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Abigail, Evelyn, Elizabeth, Victoria, James, Henry, Aiden, Harper, and David. Abigail told you that Harper is a sinner. As Evelyn put it, \"if Henry ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1275, \"statements\": [[\"lying\", 7], [\"->\", [\"telling-truth\", 5], [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]]]], [\"not\", [\"telling-truth\", 3]], [\"and\", [\"not\", [\"<=>\", [\"telling-truth\",... | {"split": "train", "index": 14609} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Matthew, Amelia, Harper, Jackson, Lily, Sofia, Henry, Lucas, and William. Matthew said that ((Lily is a sinner if and only if Amelia is a saint) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1276, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 7]]], [\"lying\", 8]], [\"lying\", 4], [\"or\", [\"<=>\", [\"or\", [\"lying\", 1... | {"split": "train", "index": 14610} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Riley, Scarlett, Liam, Ava, Ella, Logan, Elizabeth, Sofia, and Sebastian. \"((Ella is a sinner or Scarlett is a saint) or (Sofia is a saint if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1277, \"statements\": [[\"and\", [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 2]]], [\"or\", [\"telling-truth\", 5], [\"or\", [\"telling-truth\", 2], [\"lying... | {"split": "train", "index": 14611} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Matthew, Henry, Jackson, Penelope, Aria, Liam, Lily, Ava, and Mia. \"it is not the case that ((Jackson is a sage or Penelope is a fool) and (Liam is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1278, \"statements\": [[\"not\", [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]], [\"and\", [\"telling-truth\", 5], [\"lying\", 7]]]], [\"and\", [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"ly... | {"split": "train", "index": 14612} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Chloe, Michael, Alexander, Isabella, Amelia, Emily, Aiden, Avery, and Owen. Chloe told you that Aiden is a pioneer. Michael stated, \"it is not... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1279, \"statements\": [[\"telling-truth\", 6], [\"not\", [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 1]]]], [\"or\", [\"lying\", 1], [\"not\", [\"and\", [\"telling-truth\",... | {"split": "train", "index": 14613} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Sofia, Aiden, Samuel, Isabella, Riley, James, Ella, Avery, and Mason. \"((Mason is a pioneer) and (Isabella is a laggard or Riley is a pioneer)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1280, \"statements\": [[\"or\", [\"and\", [\"not\", [\"lying\", 8]], [\"or\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"lying\", 4]]]], [\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 5], [\"telling-trut... | {"split": "train", "index": 14614} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Sofia, Benjamin, Logan, Grace, Mia, Noah, Henry, Mason, and Olivia. In Sofia's words: \"(if (Olivia is a pioneer or Grace is a pioneer) then Be... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1281, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"telling-truth\", 1]], [\"->\", [\"<=>\", [\"lying\", 7], [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]]], [\"and\", [\... | {"split": "train", "index": 14615} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Riley, Emma, Aiden, Daniel, Zoey, Alexander, Aria, Joseph, and Samuel. \"if (Emma is a laggard) then Samuel is a pioneer,\" Riley claimed. In a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1282, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 8]], [\"lying\", 3], [\"lying\", 1], [\"and\", [\"or\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 3]], [\"and\", [\"lying\", 6],... | {"split": "train", "index": 14616} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Avery, Samuel, Aurora, Zoey, Emily, Olivia, Matthew, Lily, and Jackson. Avery remarked, \"if ((Aurora is a pioneer if and only if Aurora is a l... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1283, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"telling-truth\", 3]], [\"telling-truth\", 7]], [\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 5]], [\"an... | {"split": "train", "index": 14617} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Jackson, Aiden, Avery, Ethan, Chloe, Alexander, Isabella, Liam, and Mia. Jackson stated, \"((Isabella is a laggard or Ethan is a laggard) and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1284, \"statements\": [[\"and\", [\"and\", [\"or\", [\"lying\", 6], [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"lying\", 7], [\"lying\", 6]]]], [... | {"split": "train", "index": 14618} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Abigail, Penelope, Emma, Ava, Aiden, Jackson, Victoria, David, and Scarlett. \"Victoria is a fool\" - Abigail. Penelope noted, \"Aiden is a fool\". Emma to... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1285, \"statements\": [[\"lying\", 6], [\"lying\", 4], [\"<=>\", [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"lying\", 8], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 8]... | {"split": "train", "index": 14619} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Owen, Lily, Mason, Scarlett, Isabella, Elizabeth, Avery, Henry, and Grace. Owen remarked, \"it is not the case that (if (Lily is an altruist) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1286, \"statements\": [[\"not\", [\"->\", [\"not\", [\"lying\", 1]], [\"->\", [\"telling-truth\", 7], [\"lying\", 5]]]], [\"->\", [\"telling-truth\", 8], [\"lying\", 6]], [\"and\", [\"or\", [\"or\", [\"lying\", 0], [\"telling-... | {"split": "train", "index": 14620} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Oliver, Scarlett, Mason, Samuel, Daniel, Aurora, Owen, Abigail, and Jack. As Oliver put it, \"(it is not the case that (Scarlett is a pioneer))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1287, \"statements\": [[\"or\", [\"not\", [\"not\", [\"lying\", 1]]], [\"or\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 8]]]], [\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 5], [\"lyin... | {"split": "train", "index": 14621} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Benjamin, Mia, Emma, Ethan, Harper, Owen, William, Evelyn, and Henry. Benjamin stated, \"((if Owen is a saint then William is a saint) and Emma is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1288, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"lying\", 2]], [\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 6]], [\"and\", [\"telling-truth\", 0], [\"telling-trut... | {"split": "train", "index": 14622} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Amelia, Liam, Daniel, William, Sebastian, Luke, Benjamin, Samuel, and Aurora. Amelia expressed that it is not the case that (Amelia is a pionee... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1289, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 3], [\"lying\", 5]]]], [\"not\", [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 7]], [\"or\", [\"lying\", 7], [\"... | {"split": "train", "index": 14623} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Aria, Charlotte, Ella, Isabella, Samuel, Lily, Abigail, Sophia, and Emma. Aria noted, \"Isabella is a hero\". Charlotte commented, \"((if Sophia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1290, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 7], [\"lying\", 0]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"telling-truth\", 3], [\"tell... | {"split": "train", "index": 14624} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Aurora, Isabella, Emma, Luke, Henry, Aiden, Amelia, Ethan, and Logan. Aurora remarked, \"it is not the case that ((Ethan is a sage if and only if Luke is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1291, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]]]], [\"lying\", 0], [\"lying\", 4], [\"and\", [\"telling-truth\", 2], [\"no... | {"split": "train", "index": 14625} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Oliver, Olivia, Sophia, Alexander, Ella, Daniel, James, William, and Lily. Oliver remarked, \"(it is not the case that (Lily is a villain and Ella is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1292, \"statements\": [[\"or\", [\"not\", [\"and\", [\"lying\", 8], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 6], [\"lying\", 3]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 4]]]], [\"and\", [... | {"split": "train", "index": 14626} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Amelia, Sebastian, Jack, Sofia, Liam, Harper, Grace, Aurora, and Aria. Amelia noted, \"((Sofia is a laggard if and only if Aurora is a pioneer)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1293, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 7]], [\"->\", [\"lying\", 5], [\"telling-truth\", 8]]], [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 5]]]], [\"<=>\", [\"->\", [\"->\",... | {"split": "train", "index": 14627} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Elizabeth, Jackson, Lucas, Samuel, Henry, Liam, Evelyn, Mason, and Grace. Elizabeth said, \"if (Mason is a hero or (Evelyn is a hero or Mason is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1294, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 7], [\"or\", [\"telling-truth\", 6], [\"lying\", 7]]], [\"lying\", 6]], [\"not\", [\"lying\", 0]], [\"lying\", 7], [\"not\", [\"not\", [\"<=>\", [\"lying\", 2], [\"l... | {"split": "train", "index": 14628} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Emma, Zoey, Lily, Benjamin, Isabella, Liam, Aria, Ella, and Sofia. \"Liam is a saint,\" Emma declared. Zoey noted, \"Lily is a saint\". \"if Isabella... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1295, \"statements\": [[\"telling-truth\", 5], [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 4], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 0]], [\"not\", [\"lying\", 1]]]], [\"<=>\", [\"and\", [\"and\", [\"telli... | {"split": "train", "index": 14629} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Chloe, Matthew, Isabella, Mason, Aiden, Aurora, Olivia, Noah, and Evelyn. In a statement by Chloe: \"(it is not the case that (Matthew is a fool if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1296, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"lying\", 1], [\"lying\", 7]]], [\"lying\", 5]], [\"lying\", 5], [\"and\", [\"lying\", 8], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 7]]]], [\"or\", [\"<=>\"... | {"split": "train", "index": 14630} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Michael, Jackson, Daniel, William, James, Scarlett, Olivia, Mason, and Jacob. Michael said, \"(if (William is an angel) then (if Daniel is an angel the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1297, \"statements\": [[\"and\", [\"->\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 6]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 8]], [\"->\", [\"telling-truth\", 2], [\"te... | {"split": "train", "index": 14631} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Penelope, Matthew, James, Jacob, Jackson, Charlotte, Scarlett, David, and Joseph. In a statement by Penelope: \"if ((James is a villain) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1298, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 2], [\"telling-truth\", 5]]], [\"not\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 0]]]], [\"->\", [\"<=>\", [\"not\", [\"ly... | {"split": "train", "index": 14632} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Amelia, Zoey, Evelyn, Joseph, Avery, Matthew, Abigail, Benjamin, and Michael. Amelia remarked, \"if (it is not the case that (if Matthew is a knight ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1299, \"statements\": [[\"->\", [\"not\", [\"->\", [\"telling-truth\", 5], [\"lying\", 1]]], [\"telling-truth\", 5]], [\"telling-truth\", 0], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"not\", [\"lying\", 0]]]], [\"and\", [... | {"split": "train", "index": 14633} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Chloe, Jackson, Ava, Lily, Aria, Daniel, Liam, Scarlett, and Sophia. Chloe was heard saying, \"((Chloe is an altruist and Aria is an altruist) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1300, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"not\... | {"split": "train", "index": 14634} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Mason, Jacob, Alexander, Aurora, Luke, Mia, Sebastian, Amelia, and Grace. In Mason's words: \"(if (Grace is a pioneer and Aurora is a laggard) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1301, \"statements\": [[\"and\", [\"->\", [\"and\", [\"telling-truth\", 8], [\"lying\", 3]], [\"and\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"->\", [\"telling-truth\", 1], [\"not\", [\"lying\", 5]]]], [\"and\", [\"or\", ... | {"split": "train", "index": 14635} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Chloe, Samuel, Matthew, Aria, Charlotte, Benjamin, Amelia, Zoey, and Aiden. Chloe remarked, \"Samuel is a sage\". Samuel asserted: \"Aria is a sage\". Matt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1302, \"statements\": [[\"telling-truth\", 1], [\"telling-truth\", 3], [\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 0]], [\"and\", [\"lying\", 0], [\"lying\", 8]]]], [\"not\", [\"<=>\", [\"->\", [\"telling... | {"split": "train", "index": 14636} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Ava, Grace, David, Emily, Matthew, Sophia, Michael, Riley, and Aria. Ava noted, \"((Sophia is a fool) and Matthew is a sage) if and only if ((Grace is a fo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1303, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 5]], [\"telling-truth\", 4]], [\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 8]], [\"->\", [\"telling-truth\", 6], [\"lying\", 3]]]], [\"not\", [\"not\"... | {"split": "train", "index": 14637} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: James, Olivia, David, Charlotte, Jacob, Sebastian, Emily, Owen, and Luke. James commented, \"((Luke is a pioneer if and only if Olivia is a pio... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1304, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 7]]], [\"and\", [\"<=>\", [\"lying\", 5], [\"lying\", 2]], [\"not\", [\"tellin... | {"split": "train", "index": 14638} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Jackson, Charlotte, James, Samuel, Grace, Henry, Luke, Isabella, and Elizabeth. In Jackson's words: \"Charlotte is a devil and (Elizabeth is an angel a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1305, \"statements\": [[\"and\", [\"lying\", 1], [\"and\", [\"telling-truth\", 8], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 0]]]], [\"and\", [\"telling-truth\", 0], [\"<=>\", [\"or\", [\"lying\", 0], [\"telling-tr... | {"split": "train", "index": 14639} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Benjamin, Ava, Zoey, Jack, Ethan, Aurora, Amelia, Aria, and Alexander. \"Aurora is a villain or ((Aurora is a villain) or (Zoey is a villain and Ava ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1306, \"statements\": [[\"or\", [\"lying\", 5], [\"or\", [\"not\", [\"telling-truth\", 5]], [\"and\", [\"lying\", 2], [\"telling-truth\", 1]]]], [\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 6], [\"lying\", 3]], [\"<=>\", ... | {"split": "train", "index": 14640} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Lily, Jackson, Liam, Benjamin, Ethan, Evelyn, Joseph, Sofia, and Olivia. Lily noted, \"(Joseph is a saint or (Benjamin is a sinner)) and ((Sofia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1307, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 6], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"lying\", 7], [\"lying\", 6]], [\"telling-truth\", 8]]], [\"and\", [\"not\", [\"and\", [\"telling-truth\... | {"split": "train", "index": 14641} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Emily, David, Charlotte, Victoria, Daniel, Michael, Evelyn, Elizabeth, and Aiden. Emily noted, \"((if Daniel is a knight then Michael is a knave) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1308, \"statements\": [[\"or\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 5]], [\"telling-truth\", 2]], [\"lying\", 1]], [\"<=>\", [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 5]], [\"telling-truth\", 2]]... | {"split": "train", "index": 14642} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Samuel, Riley, Aiden, Jackson, Emily, Grace, Emma, Alexander, and Scarlett. Samuel stated, \"if ((Riley is a pioneer if and only if Riley is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1309, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 8]]], [\"or\", [\"and\", [\"telling-truth\", 6], [\"lying\", 8]], [\"and\", [\"t... | {"split": "train", "index": 14643} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Aria, Aiden, Zoey, Ethan, Daniel, David, Liam, Matthew, and Lucas. Aria told you that (it is not the case that (Zoey is an angel if and only if Daniel ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1310, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"and\", [\"and\", [\"lying\", 7], [\"telling-truth\", 0]], [\"->\", [\"lying\", 6], [\"telling-truth\", 5]]]], [\"<=>\", [\"<=>\"... | {"split": "train", "index": 14644} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Lucas, Jack, Olivia, David, Sebastian, Lily, Chloe, Amelia, and Luke. Lucas told you that Jack is a pioneer. Jack said that (it is not the case... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1311, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 8]]], [\"and\", [\"not\", [\"telling-truth\", 6]], [\"not\", [\"lying\", 7]]]], [\"or\", [\"not\", [\"->\"... | {"split": "train", "index": 14645} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Penelope, Riley, Benjamin, Ava, Harper, Alexander, Henry, Olivia, and Sebastian. In Penelope's words: \"(it is not the case that (Ava is a devil)) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1312, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"lying\", 7]]], [\"lying\", 7], [\"telling-truth\", 3], [\"or\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"... | {"split": "train", "index": 14646} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Henry, Liam, Ava, Emma, Zoey, Ethan, Aria, Sebastian, and Harper. Henry said, \"((Ava is a sinner or Aria is a saint) if and only if (if Sebastian is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1313, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 6]], [\"->\", [\"lying\", 7], [\"lying\", 6]]], [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", ... | {"split": "train", "index": 14647} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Aiden, Jack, Henry, Sofia, Lucas, Logan, Ethan, Owen, and Jacob. Aiden asserted: \"((Jacob is a sage and Henry is a sage) if and only if (Jacob is a sage a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1314, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 8]], [\"or... | {"split": "train", "index": 14648} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Lucas, Owen, Emma, Noah, Mason, Emily, Ella, William, and Riley. Lucas commented, \"Emma is a fool\". \"((Emma is a sage and Emily is a sage) and (Emma is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1315, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 8]]], [\"<=>\", [\"and\", [\"lying\... | {"split": "train", "index": 14649} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Riley, Aria, Jackson, Benjamin, Charlotte, Daniel, Ethan, Chloe, and Emma. Riley said that ((Emma is an egoist and Ethan is an egoist) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1316, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"lying\", 8], [\"lying\", 6]], [\"and\", [\"lying\", 8], [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 5], [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"... | {"split": "train", "index": 14650} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: David, Noah, Abigail, Mia, Daniel, Aiden, Emma, Ella, and Ava. In David's words: \"((Emma is a sinner and David is a saint) if and only if (if Abigai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1317, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"lying\", 6], [\"telling-truth\", 0]], [\"->\", [\"lying\", 2], [\"lying\", 8]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"lying\", 1]]]], [... | {"split": "train", "index": 14651} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Joseph, Abigail, Lily, Noah, Ella, Liam, Owen, Aiden, and Penelope. \"if (it is not the case that (if Aiden is a laggard then Lily is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1318, \"statements\": [[\"->\", [\"not\", [\"->\", [\"lying\", 7], [\"telling-truth\", 2]]], [\"lying\", 5]], [\"or\", [\"or\", [\"not\", [\"telling-truth\", 5]], [\"lying\", 7]], [\"and\", [\"and\", [\"lying\", 6], [\"telling... | {"split": "train", "index": 14652} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Elizabeth, Aiden, Sofia, Aurora, Mason, Liam, Benjamin, Owen, and Amelia. Elizabeth asserted: \"((if Amelia is a sage then Benjamin is a sage) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1319, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 6]], [\"lying\", 7]], [\"or\", [\"not\", [\"lying\", 8]], [\"or\", [\"telling-truth\", 7], [\"lying\", 6]]]], [\"<=>\", [\"or\", [... | {"split": "train", "index": 14653} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Avery, Alexander, Michael, Luke, Ava, Ethan, Daniel, Lucas, and Victoria. \"Victoria is a devil,\" Avery mentioned. Alexander said, \"if ((Luke is a de... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1320, \"statements\": [[\"lying\", 8], [\"->\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 5], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 0]], [\"not\", [\"telling-t... | {"split": "train", "index": 14654} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Benjamin, Lily, Jackson, Sebastian, Ava, Avery, Penelope, Michael, and Owen. \"(it is not the case that (Owen is a saint)) or Sebastian is a saint\" ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1321, \"statements\": [[\"or\", [\"not\", [\"not\", [\"lying\", 8]]], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 8]], [\"not\", [\"->\", [\"<=>\", [\"telli... | {"split": "train", "index": 14655} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Isabella, Sofia, Chloe, Emma, Charlotte, Ava, Aiden, Lily, and Sophia. Isabella stated, \"(if (Sophia is a villain or Emma is a hero) then (Isabella ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1322, \"statements\": [[\"or\", [\"->\", [\"or\", [\"lying\", 8], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"telling-truth\", 6], [\"lying\", 7]], [\"not\", [\"telling-truth\", 7]]]], [... | {"split": "train", "index": 14656} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Alexander, Ella, Aiden, Sofia, Victoria, Joseph, Benjamin, Jackson, and Ava. Alexander was heard saying, \"if (it is not the case that (Aiden i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1323, \"statements\": [[\"->\", [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 8]], [\"and\", [\"lying\", 7], [\"telling-truth\", 3]]]], [\"and\", [\"and\", [\"not\", [\"lying\", 8... | {"split": "train", "index": 14657} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Harper, William, Riley, Penelope, Amelia, Mason, Ella, Noah, and Aurora. Harper remarked, \"if (Amelia is a villain or Mason is a villain) then ((Ell... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1324, \"statements\": [[\"->\", [\"or\", [\"lying\", 4], [\"lying\", 5]], [\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 4]], [\"not\", [\"telling-truth\", 3]]]], [\"and\", [\"telling-truth\", 2], [\"or\", [\"->\", [\... | {"split": "train", "index": 14658} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Sebastian, Michael, Sophia, Avery, Matthew, Daniel, Chloe, William, and Jack. Sebastian said that ((Jack is a devil or Matthew is an angel) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1325, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"lying\", 8], [\"telling-truth\", 4]], [\"lying\", 8]], [\"->\", [\"->\", [\"lying\", 8], [\"lying\", 6]], [\"and\", [\"lying\", 1], [\"telling-truth\", 8]]]], [\"not\", [\... | {"split": "train", "index": 14659} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Charlotte, Grace, Benjamin, William, Ella, Olivia, Evelyn, Emily, and Michael. Charlotte was heard saying, \"Ella is a knight\". Grace noted, \"Benja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1326, \"statements\": [[\"not\", [\"lying\", 4]], [\"telling-truth\", 2], [\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 6], [\... | {"split": "train", "index": 14660} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Harper, Abigail, Aurora, Emily, Ethan, Lily, Matthew, Benjamin, and Owen. \"Owen is a knight,\" Harper declared. \"it is not the case that (Lily is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1327, \"statements\": [[\"not\", [\"lying\", 8]], [\"not\", [\"or\", [\"telling-truth\", 5], [\"->\", [\"lying\", 3], [\"lying\", 6]]]], [\"->\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 5]]], [\"not\", [\"and\",... | {"split": "train", "index": 14661} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Jacob, Mia, Avery, Sophia, Liam, Ella, Samuel, Victoria, and Riley. Jacob expressed that (Sophia is a sinner) if and only if Riley is a saint. Mia sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1328, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 8]], [\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 8]]], [\"not\", [\... | {"split": "train", "index": 14662} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Olivia, Ella, Sophia, Henry, Joseph, Jackson, Sofia, Aiden, and Victoria. Olivia told you that it is not the case that ((if Sophia is a sage then Victoria ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1329, \"statements\": [[\"not\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 8]], [\"lying\", 7]]], [\"or\", [\"<=>\", [\"not\", [\"lying\", 7]], [\"<=>\", [\"lying\", 5], [\"lying\", 4]]], [\"or\", [\"->\", [\"lying... | {"split": "train", "index": 14663} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Oliver, Daniel, Jacob, Isabella, Samuel, Evelyn, Emma, Mia, and Aiden. Oliver noted, \"Daniel is a laggard or ((Aiden is a laggard if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1330, \"statements\": [[\"or\", [\"lying\", 1], [\"<=>\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]]]], [\"telling-truth\", 1], [\"<=>\", [\"<=>\", [\"->\", [\"telling-... | {"split": "train", "index": 14664} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Amelia, Mason, Alexander, Grace, Victoria, Harper, Mia, Samuel, and Oliver. In Amelia's words: \"(it is not the case that (Victoria is a sage and Grace is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1331, \"statements\": [[\"or\", [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"not\", [\"lying\", 7]]]], [\"not\", [\"and\", [\"->\", [\"lyi... | {"split": "train", "index": 14665} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Olivia, Ava, Aiden, Zoey, Henry, Emma, Liam, Jackson, and James. \"Ava is a sinner and ((Henry is a saint if and only if Ava is a saint) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1332, \"statements\": [[\"and\", [\"lying\", 1], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"lying\", 6]]], [\"->\", [\"<=>\", [\"and\", [\"lying\", 7], [\"lying\", 6]], [\"->\", [\"lying\", 8], [\"... | {"split": "train", "index": 14666} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Victoria, Benjamin, Mason, Isabella, Amelia, Ella, Avery, Jacob, and Chloe. According to Victoria, \"((Avery is an egoist and Mason is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1333, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"lying\", 6], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 5], [\"lying\", 5]]], [\"lying\", 4]], [\"telling-truth\", 3], [\"telling-truth\", 5], [\"and\", [\"->\... | {"split": "train", "index": 14667} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Lily, Evelyn, Sebastian, Riley, Avery, Olivia, Emma, Lucas, and Michael. \"(if (Michael is a knight) then Olivia is a knave) or ((if Lucas is a knigh... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1334, \"statements\": [[\"or\", [\"->\", [\"not\", [\"lying\", 8]], [\"lying\", 5]], [\"or\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 6]], [\"telling-truth\", 2]]], [\"not\", [\"telling-truth\", 6]], [\"->\", [\"l... | {"split": "train", "index": 14668} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Matthew, Scarlett, Sebastian, Amelia, Avery, Jack, David, Abigail, and Charlotte. \"if (if (Scarlett is a sage if and only if Jack is a sage) then (Abigail... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1335, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 6]]... | {"split": "train", "index": 14669} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Penelope, Grace, David, Logan, Scarlett, Isabella, Luke, Emma, and Charlotte. Penelope noted, \"(if Grace is a knight then (Emma is a knave and Scarl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1336, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 1], [\"and\", [\"lying\", 7], [\"telling-truth\", 4]]], [\"or\", [\"telling-truth\", 2], [\"not\", [\"lying\", 4]]]], [\"not\", [\"lying\", 2]], [\"<=>\", [\"and\",... | {"split": "train", "index": 14670} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Joseph, Aria, Zoey, Aiden, Sofia, Jack, Lucas, Mia, and Lily. As Joseph put it, \"Lily is a knave\". Aria commented, \"(it is not the case that (Aria... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1337, \"statements\": [[\"lying\", 8], [\"and\", [\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"<=>\", [\"lying\", 4], [\"and\", [\"lying\", 6], [\"lying\", 3]]]], [\"->\", [\"telling-truth\", 8], [\"lying\",... | {"split": "train", "index": 14671} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Oliver, Mia, Lily, Mason, Emily, Abigail, Ella, Sofia, and Sophia. Oliver commented, \"Sophia is a laggard\". Mia said that ((Emily is a pionee... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1338, \"statements\": [[\"lying\", 8], [\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 1]]], [\"lying\", 2]], [\"or\", [\"not\", [\"->\", [\"lying\", ... | {"split": "train", "index": 14672} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Evelyn, Sebastian, Grace, David, Henry, Charlotte, Emily, Ethan, and William. Evelyn told you that (it is not the case that (Grace is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1339, \"statements\": [[\"or\", [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"lying\", 6], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]]], [\"->\", [\... | {"split": "train", "index": 14673} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Aria, Ethan, Samuel, Evelyn, Aiden, Henry, Elizabeth, Victoria, and Isabella. Aria stated, \"Samuel is a fool\". Ethan said, \"(if (if Elizabeth is a sage ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1340, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"or\", [\"->\", [\"->\", [\"telling-truth\", 6], [\"lying\", 5]], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 0], [\"lyin... | {"split": "train", "index": 14674} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Henry, Charlotte, Sebastian, Ethan, Michael, Elizabeth, Aiden, Victoria, and Lucas. Henry said, \"Sebastian is a sinner if and only if (if (Michael i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1341, \"statements\": [[\"<=>\", [\"lying\", 2], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]], [\"and\", [\"lying\", 8], [\"telling-truth\", 4]]]], [\"and\", [\"and\", [\"or\", [\"lying\", 8], [\"telling-truth\",... | {"split": "train", "index": 14675} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Logan, Zoey, Grace, Sofia, Aria, Ava, Samuel, Benjamin, and Isabella. According to Logan, \"if Samuel is a pioneer then (if (Sofia is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1342, \"statements\": [[\"->\", [\"telling-truth\", 6], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"not\", [\"lying\", 3]]]], [\"<=>\", [\"->\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 6]], [\"not\", [... | {"split": "train", "index": 14676} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Mason, David, Jackson, Lily, Zoey, Penelope, Aria, Lucas, and Jacob. \"if (Lily is a knave if and only if Lucas is a knave) then ((Lily is a knave an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1343, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 7]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 3]]]], [\"not\", [\"telling-truth\", ... | {"split": "train", "index": 14677} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Henry, Aurora, Isabella, Penelope, Riley, Jacob, Grace, Charlotte, and Liam. \"((if Grace is a fool then Henry is a sage) if and only if Liam is a sage) an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1344, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"lying\", 6], [\"telling-truth\", 0]], [\"telling-truth\", 8]], [\"->\", [\"lying\", 4], [\"not\", [\"lying\", 5]]]], [\"and\", [\"or\", [\"->\", [\"telling-truth\", 0], [\... | {"split": "train", "index": 14678} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Abigail, Zoey, Ella, Riley, Chloe, Samuel, Aurora, Henry, and Jack. \"it is not the case that ((Chloe is a sinner or Samuel is a saint) or Jack is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1345, \"statements\": [[\"not\", [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 5]], [\"telling-truth\", 8]]], [\"and\", [\"lying\", 2], [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 6]], [\"and\", [\"lying\", ... | {"split": "train", "index": 14679} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: William, Noah, Elizabeth, Penelope, Benjamin, Evelyn, Isabella, Jacob, and David. William remarked, \"Isabella is a sage\". In a statement by Noah: \"Evely... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1346, \"statements\": [[\"telling-truth\", 6], [\"lying\", 5], [\"and\", [\"->\", [\"lying\", 3], [\"or\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 3]... | {"split": "train", "index": 14680} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Jackson, Luke, Olivia, Logan, Noah, Chloe, Charlotte, Ava, and David. \"Olivia is a knight,\" Jackson mentioned. Luke stated, \"David is a knight and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1347, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"telling-truth\", 8], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"telling-truth\", 6]]], [\"and\", [\"or\", [\"and\", [\"lying\", 5], [\"lying\", 4... | {"split": "train", "index": 14681} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Benjamin, James, Elizabeth, Amelia, Chloe, Mia, Liam, Jacob, and Jackson. Benjamin told you that Jackson is a laggard. \"it is not the case tha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1348, \"statements\": [[\"lying\", 8], [\"not\", [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"lying\", 6]]], [\"not\", [\"or\", [\"lying\", 1], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]]], [\"and\", [\... | {"split": "train", "index": 14682} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Ava, Joseph, Zoey, Lily, Charlotte, Riley, Jackson, Michael, and Lucas. Ava was heard saying, \"((Riley is a hero and Michael is a hero) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1349, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 7]], [\"telling-truth\", 6]], [\"lying\", 8]], [\"not\", [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 5]]]], [\"or\", [... | {"split": "train", "index": 14683} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Emma, Aurora, Ella, Victoria, Sebastian, Aria, Mason, James, and Zoey. Emma said that ((Aurora is a pioneer or Zoey is a laggard) and (Zoey is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1350, \"statements\": [[\"and\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 8]], [\"or\", [\"telling-truth\", 8], [\"lying\", 1]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"l... | {"split": "train", "index": 14684} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: David, Samuel, Olivia, Lily, Noah, Alexander, Henry, Avery, and Logan. According to David, \"(if (Alexander is an egoist) then (Alexander is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1351, \"statements\": [[\"and\", [\"->\", [\"not\", [\"telling-truth\", 5]], [\"and\", [\"lying\", 5], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\",... | {"split": "train", "index": 14685} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Lucas, Matthew, Charlotte, Owen, Alexander, Ethan, Logan, Mason, and Benjamin. Lucas remarked, \"(it is not the case that (if Matthew is a lagg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1352, \"statements\": [[\"or\", [\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"or\", [\"telling-truth\", 7], [\"not\", [\"telling-truth\", 8]]]], [\"not\", [\"<=>\", [\"not\", [\"lying\", 0]], [\"or\", [\"lyin... | {"split": "train", "index": 14686} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Matthew, Noah, Elizabeth, Jacob, James, Olivia, Ella, Zoey, and Michael. According to Matthew, \"if ((if Jacob is a devil then Zoey is an angel) and (M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1353, \"statements\": [[\"->\", [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 6]]], [\"not\", [\"not\", [\"telling-truth\", 6]]]], [\"->\", [\"not\", [\"<=>\",... | {"split": "train", "index": 14687} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Matthew, Liam, Evelyn, Chloe, Aurora, Charlotte, Alexander, Oliver, and Ava. \"Matthew is an altruist or ((Alexander is an altruist) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1354, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"<=>\", [\"not\", [\"lying\", 6]], [\"or\", [\"telling-truth\", 8], [\"lying\", 6]]]], [\"<=>\", [\"->\", [\"or\", [\"lying\", 8], [\"lying\", 0]], [\"lying\", 6]], [\"... | {"split": "train", "index": 14688} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Sofia, Olivia, Alexander, Emma, Matthew, Aiden, Victoria, Harper, and Henry. Sofia expressed that if ((Henry is a knave or Harper is a knave) and (Vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1355, \"statements\": [[\"->\", [\"and\", [\"or\", [\"lying\", 8], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 5]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"and\", [\"lying\", 2], [\"l... | {"split": "train", "index": 14689} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Jackson, Charlotte, Isabella, Lucas, James, Owen, Victoria, Zoey, and Ella. \"Lucas is a sage,\" Jackson mentioned. Charlotte expressed that ((if Isabella ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1356, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 0], [\"lying\", 5]]], [\"<=>\", [\"not\", [\"lying\", 0]], [\"not\", [\"... | {"split": "train", "index": 14690} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Aiden, David, Ethan, Mason, Jacob, Sofia, Owen, Emma, and Samuel. \"it is not the case that (if David is a pioneer then (Ethan is a laggard or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1357, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 1], [\"or\", [\"lying\", 2], [\"telling-truth\", 0]]]], [\"->\", [\"telling-truth\", 7], [\"not\", [\"lying\", 6]]], [\"lying\", 6], [\"<=>\", [\"or\", [\"->\", [\"... | {"split": "train", "index": 14691} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Isabella, Benjamin, Riley, Emily, Avery, Logan, Mia, Oliver, and Lily. Isabella remarked, \"if Logan is a knave then ((Logan is a knight and Benjamin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1358, \"statements\": [[\"->\", [\"lying\", 5], [\"<=>\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 6]]]], [\"not\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"... | {"split": "train", "index": 14692} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Scarlett, Alexander, Aurora, Sophia, Jacob, Mia, Harper, Logan, and Olivia. Scarlett said, \"if Aurora is a devil then Harper is an angel.\" According ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1359, \"statements\": [[\"->\", [\"lying\", 2], [\"telling-truth\", 6]], [\"and\", [\"not\", [\"->\", [\"lying\", 7], [\"telling-truth\", 5]]], [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"lying\",... | {"split": "train", "index": 14693} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Penelope, Sophia, Alexander, Lucas, Henry, Grace, Noah, Isabella, and Charlotte. Penelope expressed that (if (Lucas is a knight or Grace is a knight)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1360, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"and\", [\"lying\", 4], [\"lying\", 6]]], [\"lying\", 3]], [\"lying\", 2], [\"and\", [\"and\", [\"and\", [\"telling-truth\",... | {"split": "train", "index": 14694} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Ella, Emily, Jackson, Sophia, William, Chloe, Aiden, Mason, and Evelyn. In Ella's words: \"Chloe is a hero\". Emily asserted: \"it is not the case th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1361, \"statements\": [[\"not\", [\"lying\", 5]], [\"not\", [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 6]]]], [\"not\", [\"->\", [\"->\", [\"lying\", 5], [\"lying\", 4]], [\"or\",... | {"split": "train", "index": 14695} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Aiden, Evelyn, Henry, Sebastian, Zoey, James, Aurora, Lucas, and Emma. Aiden noted, \"((Aiden is a sage or Henry is a fool) if and only if (Henry is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1362, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 8]]], [\"not\", [\"not\", [\"telling-truth\", 2]]]], [\"and\", [\"and\", [\"lyin... | {"split": "train", "index": 14696} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Jacob, Ella, Henry, Avery, Victoria, Owen, Isabella, Samuel, and Logan. Jacob commented, \"(if (Avery is a sinner if and only if Samuel is a saint) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1363, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 7]]], [\"<=>\", [\"->\", [\"lying\", 6], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], [\"l... | {"split": "train", "index": 14697} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: James, Joseph, Emily, Jacob, Oliver, Evelyn, Jack, Aria, and Riley. James expressed that (if (Joseph is a knave and Joseph is a knight) then (James i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1364, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 8]]], [\"->\", [\"not\", [\"lying\", 1]], [\"telling-truth\", 8]]], [\"or\", [\... | {"split": "train", "index": 14698} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Lily, Matthew, Lucas, Charlotte, Jack, Aria, Emily, Mason, and Amelia. Lily was heard saying, \"((Lucas is a pioneer if and only if Emily is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1365, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 2]]], [\"telling-truth\", 6]], [\"telling-truth\", 7], [\"or\", [\"->\",... | {"split": "train", "index": 14699} |
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