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 angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Amelia, Henry, Abigail, Victoria, Aiden, Sophia, Chloe, Sofia, and Jack. \"it is not the case that ((if Victoria is an angel then Sofia is a devil) if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 844, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 7]], [\"not\", [\"lying\", 6]]]], [\"and\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 8]], [\"or\", [\"->\", [\"telling-truth\", 1], [\... | {"split": "train", "index": 16400} |
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: Abigail, Mason, Emily, Riley, Matthew, Aurora, Owen, Victoria, and Jack. Abigail remarked, \"(it is not the case that (Aurora is an angel)) and ((Owen ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 845, \"statements\": [[\"and\", [\"not\", [\"not\", [\"lying\", 5]]], [\"or\", [\"not\", [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 8], [\"lying\", 8]], [\"and\", [\"lying\", 5], [\"telling-truth\", 4], [\"lying\", ... | {"split": "train", "index": 16401} |
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: Jackson, Luke, Logan, Ethan, William, Victoria, Zoey, Emma, and Sophia. Jackson said that ((Emma is an altruist if and only if Sophia is an ego... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 846, \"statements\": [[\"and\", [\"or\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 8]], [\"not\", [\"telling-truth\", 4]], [\"lying\", 8]], [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 8], [\"lying\", 2]], [\"not\", [\"l... | {"split": "train", "index": 16402} |
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: Liam, Abigail, Sophia, Oliver, Samuel, Elizabeth, Michael, Alexander, and Luke. \"Oliver is a devil\" - Liam. \"Oliver is an angel,\" Abigail mentioned... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 847, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 3], [\"->\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 3]], [\"lying\", 4]], [\"telling-truth\... | {"split": "train", "index": 16403} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Emily, Charlotte, Harper, Aiden, Elizabeth, William, Noah, Henry, and Lucas. \"it is not the case that ((Aiden is a saint and Lucas is a sinner) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 848, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 8]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]]], [\"and\", [\"->\", [\"->\", [\"lying\", 0], [\"lying\", 6]], [\"<=>\", [\... | {"split": "train", "index": 16404} |
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: Oliver, Joseph, Ella, Luke, Emily, Noah, Sophia, Liam, and Owen. As Oliver put it, \"((Owen is a knight if and only if Noah is a knave) and (Owen is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 849, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 5]], [\"and\", [\"lying\", 8], [\"telling-truth\", 3], [\"lying\", 2]]], [\"telling-truth\", 8]], [\"telling-truth\", 7], [\"not\", [\"and\... | {"split": "train", "index": 16405} |
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, William, Ethan, Zoey, Emily, David, Harper, Samuel, and Liam. In Matthew's words: \"if ((Zoey is an egoist) or (Harper is an altruist ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 850, \"statements\": [[\"->\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 1]], [\"lying\", 8]], [\"not\", [\"not\", [\"telling-truth\", 2]]]], [\"<=>\", [\"<=>\", [\"<=>\"... | {"split": "train", "index": 16406} |
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, Daniel, Lucas, Olivia, Penelope, David, Victoria, Henry, and Mason. Matthew expressed that ((Lucas is a saint) if and only if (Henry is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 851, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 7], [\"lying\", 5]]], [\"<=>\", [\"or\", [\"lying\", 7], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 2], [\"telling-... | {"split": "train", "index": 16407} |
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: Samuel, Riley, William, Lucas, Sophia, Elizabeth, Daniel, Michael, and Aria. In Samuel's words: \"it is not the case that ((if Lucas is an angel then D... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 852, \"statements\": [[\"not\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 2], [\"lying\", 8]]]], [\"and\", [\"telling-truth\", 2], [\"or\", [\"not\", [\"telling-truth\", 8... | {"split": "train", "index": 16408} |
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: Ava, Harper, Olivia, David, Abigail, Jacob, Aurora, Riley, and Jack. According to Ava, \"Aurora is a knight\". In Harper's words: \"Jacob is a knight... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 853, \"statements\": [[\"telling-truth\", 6], [\"telling-truth\", 5], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"or\", [\"lying\", 4], [\"telling-truth\", 5], [\"lying\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 0], [\... | {"split": "train", "index": 16409} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Aurora, Ella, David, Lily, Samuel, Joseph, Liam, Riley, and Penelope. As Aurora put it, \"David is a devil\". Ella told you that (it is not the case th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 854, \"statements\": [[\"lying\", 2], [\"or\", [\"not\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 7]]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 7]]], [\"not\", [\"and\", ... | {"split": "train", "index": 16410} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Henry, Olivia, Evelyn, Aria, Jacob, Sophia, Riley, Grace, and Mason. Henry told you that ((Grace is a hero and Olivia is a hero) if and only if Evely... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 855, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"lying\", 2]], [\"telling-truth\", 0], [\"telling-truth\", 5]], [\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"ly... | {"split": "train", "index": 16411} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Isabella, Mia, Aurora, Henry, Sebastian, Sofia, Liam, Jacob, and Charlotte. Isabella noted, \"it is not the case that (if (Henry is a sinner if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 856, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 7]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 8]]]], [\"<=>\", [\"and\", [\"not\", [\"lying\", 5]], [\"->\", [\"lying\", 0], [\"telling... | {"split": "train", "index": 16412} |
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, Ethan, Zoey, Jacob, Aria, Riley, Chloe, Avery, and Michael. According to Harper, \"if (if (Jacob is a fool if and only if Chloe is a fool) then (Av... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 857, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 6]], [\"and\", [\"lying\", 7], [\"telling-truth\", 7]]], [\"or\", [\"telling-truth\", 3], [\"and\", [\"lying\", 7], [\"telling-truth\", 2]], [\"not\... | {"split": "train", "index": 16413} |
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: Liam, Harper, Oliver, Sofia, Amelia, Michael, Mia, David, and Luke. Liam stated, \"Amelia is a devil\". In Harper's words: \"(Sofia is a devil) or (Sof... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 858, \"statements\": [[\"lying\", 4], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 3]]], [\"->\", [\"lying\", 8], [\"telling-truth\", 7]], [\"or\", [\"and\", [\"and\", [\"telling-truth\", 5], [\"lying\", 6... | {"split": "train", "index": 16414} |
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, Penelope, Abigail, Daniel, James, Jack, Scarlett, Logan, and Aurora. As Riley put it, \"Logan is a laggard or Aurora is a pioneer\". \"(... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 859, \"statements\": [[\"or\", [\"lying\", 7], [\"telling-truth\", 8]], [\"and\", [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 5]], [\"or\", [\"lying\", 5], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"telling-t... | {"split": "train", "index": 16415} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Sofia, Victoria, Elizabeth, Aiden, Olivia, Lily, Jack, Ethan, and Harper. Sofia commented, \"(if (Olivia is a sage or Ethan is a fool) then (if Ethan is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 860, \"statements\": [[\"or\", [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 7]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 8]], [\"or\", [\"lying... | {"split": "train", "index": 16416} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Mia, James, Henry, Amelia, Penelope, Emily, Zoey, Ava, and Aiden. \"Zoey is an altruist,\" Mia mentioned. James noted, \"if ((Emily is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 861, \"statements\": [[\"telling-truth\", 6], [\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 6]], [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 6], [\"lying\", 4], [\"telling-truth\", 8]]], [\"not\", [... | {"split": "train", "index": 16417} |
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: Aiden, Lily, Emily, Mason, Isabella, Logan, Lucas, Chloe, and Ella. Aiden remarked, \"it is not the case that ((if Mason is an angel then Lily is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 862, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 6]]]], [\"and\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"->\", [\"telling-truth\", 5], [\"tellin... | {"split": "train", "index": 16418} |
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, Riley, Penelope, Alexander, Emma, Samuel, Jack, Harper, and Sofia. In William's words: \"((Penelope is a fool or Emma is a sage or Alexander is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 863, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"lying\", 1], [\"lying\", 8], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"lying\", 3], [\"telling-trut... | {"split": "train", "index": 16419} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: William, Penelope, Aiden, James, Jack, Evelyn, Scarlett, Liam, and Charlotte. As William put it, \"(if (Jack is a knight and Charlotte is a knight an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 864, \"statements\": [[\"and\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 7], [\"lying\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 4], [\"lying... | {"split": "train", "index": 16420} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Ethan, Michael, Emily, Chloe, Noah, Benjamin, Evelyn, Lucas, and Matthew. Ethan stated, \"if ((Matthew is an angel or Noah is a devil) and (Matthew is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 865, \"statements\": [[\"->\", [\"and\", [\"or\", [\"telling-truth\", 8], [\"lying\", 4]], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth... | {"split": "train", "index": 16421} |
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: Grace, Sebastian, Emma, Aria, Aurora, Oliver, Aiden, Riley, and Joseph. According to Grace, \"it is not the case that (it is not the case that (Sebasti... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 866, \"statements\": [[\"not\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 5]]]], [\"and\", [\"or\", [\"->\", [\"lying\", 5], [\"telling-truth\", 0]], [\"telling-truth\", 5], [\"lying\", 0]], [\"->\", [\"ly... | {"split": "train", "index": 16422} |
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: Owen, Isabella, Liam, Ava, Jack, Michael, Ella, Evelyn, and Emma. \"((Evelyn is a devil or Isabella is a devil or Ava is a devil) and (Ella is a devil ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 867, \"statements\": [[\"or\", [\"and\", [\"or\", [\"lying\", 7], [\"lying\", 1], [\"lying\", 3]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"lying\", 7]]], [\"<=>\", [\"->\", [\"lying\", 1]... | {"split": "train", "index": 16423} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Michael, Benjamin, Lily, William, Penelope, Ethan, Lucas, Aiden, and Sebastian. Michael said, \"Lucas is an egoist.\" Benjamin told you that ((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 868, \"statements\": [[\"not\", [\"telling-truth\", 6]], [\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 7], [\"lying\", 6]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 7], [\"lying\",... | {"split": "train", "index": 16424} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Ella, Emily, Lily, Isabella, Chloe, Abigail, Zoey, Samuel, and Penelope. Ella noted, \"if (if (Chloe is a saint) then Chloe is a sinner) then ((Zoey ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 869, \"statements\": [[\"->\", [\"->\", [\"not\", [\"lying\", 4]], [\"lying\", 4]], [\"and\", [\"and\", [\"lying\", 6], [\"lying\", 7], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", ... | {"split": "train", "index": 16425} |
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, Jackson, Chloe, Jack, Emily, Sofia, Harper, Zoey, and Charlotte. \"if (it is not the case that (if Chloe is an altruist then Alexand... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 870, \"statements\": [[\"->\", [\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 2]], [\"not\", [\"lying\", 2]]]], [\"<=>\", [\"<=>\", [\"and\",... | {"split": "train", "index": 16426} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Elizabeth, Oliver, Michael, Daniel, Olivia, Penelope, Ava, Mason, and Grace. In Elizabeth's words: \"((Michael is a saint and Grace is a saint) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 871, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 7]], [\"and\", [\"lying\", 1], [\"l... | {"split": "train", "index": 16427} |
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: Alexander, Luke, Michael, Ava, Ethan, Emily, Amelia, Noah, and Daniel. Alexander commented, \"Luke is an angel\". Luke asserted: \"if (it is not the ca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 872, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 8]]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"and\", [\"telling-trut... | {"split": "train", "index": 16428} |
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, Olivia, James, Jack, Harper, Ethan, Samuel, Penelope, and Amelia. As Aria put it, \"James is a hero\". \"Jack is a villain,\" Olivia declared. ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 873, \"statements\": [[\"telling-truth\", 2], [\"lying\", 3], [\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 6], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 7]]], [\"->\", [\"telling-truth\"... | {"split": "train", "index": 16429} |
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: Logan, Oliver, Avery, Penelope, Aria, Riley, Joseph, William, and Henry. According to Logan, \"if ((Aria is a sage or Aria is a fool) or Riley is a sage) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 874, \"statements\": [[\"->\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]], [\"telling-truth\", 5]], [\"<=>\", [\"or\", [\"lying\", 2], [\"lying\", 4], [\"lying\", 5]], [\"telling-truth\", 2]]], [\"telling-truth\... | {"split": "train", "index": 16430} |
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: Logan, Emma, Zoey, Ava, Jackson, Avery, Aiden, William, and Aurora. As Logan put it, \"((Emma is an angel or Aiden is a devil) or (Jackson is a devil o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 875, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 6]], [\"or\", [\"lying\", 4], [\"lying\", 7], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 6]], [\"not\", [\"tel... | {"split": "train", "index": 16431} |
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: Sofia, Amelia, Chloe, Oliver, Riley, Sophia, Isabella, Emily, and David. In Sofia's words: \"Oliver is a sinner\". \"it is not the case that ((Amelia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 876, \"statements\": [[\"lying\", 3], [\"not\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 8]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 8]]]]... | {"split": "train", "index": 16432} |
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, Jacob, William, Evelyn, Liam, Lily, Charlotte, Amelia, and David. According to Sofia, \"Evelyn is a knight\". Jacob said that (Liam is a knigh... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 877, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"or\", [\"lying\", 4], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 6], [\"lying\", 8], [\"lying\", 3]]], [\"telling-truth\"... | {"split": "train", "index": 16433} |
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: Jacob, Ava, Daniel, Matthew, Michael, Sebastian, Samuel, Aurora, and Scarlett. Jacob told you that ((Michael is a pioneer or Daniel is a pionee... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 878, \"statements\": [[\"or\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 8]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 5], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"lying\... | {"split": "train", "index": 16434} |
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, Jacob, Mason, Luke, Penelope, Lily, Ava, Henry, and Benjamin. Logan was heard saying, \"Logan is a pioneer\". \"((Lily is a laggard and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 879, \"statements\": [[\"telling-truth\", 0], [\"or\", [\"and\", [\"and\", [\"lying\", 5], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 3]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"lying\",... | {"split": "train", "index": 16435} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Lily, Logan, Aurora, Ella, Alexander, Jackson, Oliver, Mia, and Isabella. In Lily's words: \"if (if (if Ella is a villain then Jackson is a hero) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 880, \"statements\": [[\"->\", [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 5]], [\"->\", [\"lying\", 6], [\"telling-truth\", 3]]], [\"and\", [\"telling-truth\", 5], [\"and\", [\"telling-truth\", 7], [\"telling-truth\... | {"split": "train", "index": 16436} |
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, Mason, Luke, James, Mia, Alexander, Avery, Daniel, and Oliver. In Amelia's words: \"it is not the case that (if (Alexander is a knight) then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 881, \"statements\": [[\"not\", [\"->\", [\"not\", [\"lying\", 5]], [\"not\", [\"lying\", 2]]]], [\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"not\", [\"lying\", 2]]],... | {"split": "train", "index": 16437} |
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: Mia, Olivia, Chloe, David, Aria, Emily, James, Owen, and Benjamin. Mia said, \"it is not the case that ((Olivia is a laggard) or (Emily is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 882, \"statements\": [[\"not\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 5], [\"telling-truth\", 0]]]], [\"not\", [\"telling-truth\", 2]], [\"not\", [\"and\", [\"or\", [\"lying\", 4], [\"lying\", 0], [\... | {"split": "train", "index": 16438} |
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: James, Jacob, Ava, Abigail, Oliver, Olivia, David, Michael, and Logan. James asserted: \"Abigail is a sinner and (it is not the case that (Ava is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 883, \"statements\": [[\"and\", [\"lying\", 3], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 7]]]], [\"or\", [\"telling-truth\", 7], [\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 3]], [\"an... | {"split": "train", "index": 16439} |
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, Alexander, Grace, Mason, Oliver, Sofia, Zoey, Henry, and Lily. \"Zoey is an altruist if and only if ((Grace is an egoist if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 884, \"statements\": [[\"<=>\", [\"telling-truth\", 6], [\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"->\", [\"lying\", 8], [\"telling-truth\", 2]], [\"not\", [\"lying\", 1]]]], [\"lying\", 0], [\"<=>\", [\"and\", [\... | {"split": "train", "index": 16440} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Isabella, Elizabeth, Lucas, Ava, Luke, Charlotte, Ella, Joseph, and Samuel. Isabella noted, \"((if Ava is a saint then Charlotte is a sinner) or Ava ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 885, \"statements\": [[\"and\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 5]], [\"telling-truth\", 3]], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\... | {"split": "train", "index": 16441} |
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: Mason, Grace, Penelope, Henry, Olivia, Samuel, Aiden, Benjamin, and Ella. Mason asserted: \"it is not the case that ((Mason is a hero or Grace is a h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 886, \"statements\": [[\"not\", [\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 2]], [\"or\", [\"lying\", 6], [\"lying\", 8], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 8]]]], [\"<=>\"... | {"split": "train", "index": 16442} |
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: Jacob, Owen, Olivia, Joseph, Aria, Sophia, Liam, Emily, and Grace. Jacob expressed that Joseph is an angel. Owen said that it is not the case that (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 887, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 1]]]], [\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 7]... | {"split": "train", "index": 16443} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Luke, Liam, Jacob, Sophia, Jackson, Emma, Aurora, Daniel, and Mia. In Luke's words: \"((Liam is a hero) or Liam is a hero or (Jackson is a villain)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 888, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"lying\", 1]], [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"or\", [\"lying\", 2], [\"lyi... | {"split": "train", "index": 16444} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Grace, Emily, Zoey, Daniel, Matthew, Emma, Ella, Luke, and Ava. \"((if Emily is a pioneer then Ella is a pioneer) or (Daniel is a pioneer)) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 889, \"statements\": [[\"and\", [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 6]], [\"not\", [\"lying\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 2]... | {"split": "train", "index": 16445} |
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: Amelia, Luke, Emma, Olivia, Aurora, Harper, Jacob, Logan, and Ethan. Amelia expressed that ((Emma is a hero or Olivia is a hero or Jacob is a villain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 890, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 6]], [\"lying\", 8]], [\"->\", [\"or\", [\"lying\", 6], [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"lying\"... | {"split": "train", "index": 16446} |
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: Lucas, Oliver, Jacob, Mason, Noah, Chloe, Lily, Victoria, and Jackson. Lucas noted, \"if Chloe is an altruist then (Oliver is an altruist if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 891, \"statements\": [[\"->\", [\"telling-truth\", 5], [\"<=>\", [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 5], [\"telling-truth\", 6]]]], [\"not\", [\"and\", [\"and\", [\"telling-truth\", 0]... | {"split": "train", "index": 16447} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Liam, Lucas, Ethan, Aiden, Benjamin, Oliver, Sophia, Alexander, and Zoey. \"((Lucas is a knight) or (Alexander is a knave)) if and only if ((Benjamin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 892, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"lying\", 1]], [\"not\", [\"telling-truth\", 7]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 7]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 3]], [\"and\", [\"tellin... | {"split": "train", "index": 16448} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Lily, Sofia, Benjamin, Emily, Michael, Joseph, James, Mason, and Daniel. Lily told you that (Joseph is a hero if and only if (Joseph is a villain)) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 893, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 5], [\"not\", [\"telling-truth\", 5]]], [\"or\", [\"and\", [\"telling-truth\", 5], [\"lying\", 4]], [\"or\", [\"telling-truth\", 8], [\"lying\", 5], [\"lying\", 6]]... | {"split": "train", "index": 16449} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Amelia, Oliver, Lucas, Isabella, Aria, Henry, Aurora, Jacob, and Ella. Amelia expressed that it is not the case that ((Isabella is an egoist) i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 894, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 7]]], [\"->\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 7], [\"telling-truth\", 7]]], [\"or\", [\"or\", [\"lying\", 2], [\"... | {"split": "train", "index": 16450} |
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: Henry, Sophia, Evelyn, Ella, Elizabeth, Sofia, Luke, Benjamin, and Jacob. In a statement by Henry: \"((Henry is a knight if and only if Benjamin is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 895, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"->\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 6]], [\"and\", [\"ly... | {"split": "train", "index": 16451} |
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: Luke, Charlotte, Emma, Emily, Avery, Aurora, Victoria, Lily, and Ethan. Luke was heard saying, \"it is not the case that ((Emma is a sinner) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 896, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 7], [\"lying\", 5]]]], [\"<=>\", [\"telling-truth\", 5], [\"and\", [\"not\", [\"lying\", 7]], [\"and\", [\"lying\", 0], [\"telli... | {"split": "train", "index": 16452} |
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: Jacob, Liam, Riley, Amelia, Abigail, Aiden, Mia, Matthew, and James. \"if ((Mia is a knight if and only if James is a knight) and James is a knave an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 897, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 8]], [\"lying\", 8], [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 4]]], [\"lying\", 8]], [\"not\", [\"not\", [\"->\... | {"split": "train", "index": 16453} |
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: Sebastian, Emily, Elizabeth, Aria, Luke, Evelyn, Sophia, Lily, and Abigail. Sebastian told you that Elizabeth is a fool. \"if (it is not the case that (Ari... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 898, \"statements\": [[\"lying\", 2], [\"->\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"lying\", 8]], [\"<=>\", [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 7], [\"telling-t... | {"split": "train", "index": 16454} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Olivia, Elizabeth, Ethan, Liam, Mia, Lucas, Evelyn, Charlotte, and Sophia. Olivia asserted: \"Lucas is a knight\". Elizabeth said, \"(it is not the c... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 899, \"statements\": [[\"telling-truth\", 5], [\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 7]]], [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3]]]], [\"or\", [\"<=>\", [\... | {"split": "train", "index": 16455} |
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: Henry, Luke, Lucas, Benjamin, James, Abigail, Ethan, Jackson, and Riley. As Henry put it, \"Abigail is a pioneer\". \"(Jackson is a pioneer and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 900, \"statements\": [[\"telling-truth\", 5], [\"or\", [\"and\", [\"telling-truth\", 7], [\"and\", [\"lying\", 0], [\"telling-truth\", 4]], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 0], [\... | {"split": "train", "index": 16456} |
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: Samuel, James, Harper, Jack, Oliver, Lily, Zoey, Logan, and Charlotte. \"((if Lily is an angel then Harper is an angel) or (Jack is an angel and Logan ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 901, \"statements\": [[\"and\", [\"or\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 7]]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]... | {"split": "train", "index": 16457} |
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: Benjamin, Logan, Sebastian, Harper, Elizabeth, Abigail, Emily, Olivia, and Zoey. \"Elizabeth is a knave,\" Benjamin mentioned. In a statement by Loga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 902, \"statements\": [[\"lying\", 4], [\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 6]]... | {"split": "train", "index": 16458} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: William, Lily, Liam, Daniel, Matthew, Samuel, Harper, Alexander, and Owen. William asserted: \"(if (William is a saint and Samuel is a sinner) then W... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 903, \"statements\": [[\"or\", [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 5]], [\"telling-truth\", 0]], [\"->\", [\"or\", [\"lying\", 5], [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 7], [\"lying\", 4]]]], [\"lyi... | {"split": "train", "index": 16459} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Elizabeth, Jacob, Lily, Daniel, Noah, Chloe, Luke, Matthew, and Logan. Elizabeth remarked, \"Daniel is a saint\". \"if ((Noah is a sinner and Chloe i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 904, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 5], [\"telling-truth\", 0]], [\"->\", [\"lying\", 7], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 2], [\"lying\",... | {"split": "train", "index": 16460} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Emily, Penelope, Aria, Harper, Mia, Elizabeth, Grace, Ella, and Joseph. \"Penelope is an altruist,\" Emily declared. \"(it is not the case that... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 905, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"not\", [\"->\", [\"lying\", 6], [\"lying\", 5]]], [\"lying\", 3]], [\"->\", [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"->\", [\"lying\", 8],... | {"split": "train", "index": 16461} |
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: Elizabeth, Harper, Ethan, Lucas, William, Scarlett, Emily, Ava, and Luke. Elizabeth remarked, \"((Emily is an angel and Luke is an angel) and William i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 906, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 8]], [\"telling-truth\", 4]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"lyin... | {"split": "train", "index": 16462} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Riley, Oliver, Aiden, Mason, Amelia, Abigail, Victoria, Logan, and Henry. Riley expressed that Henry is a knave. Oliver told you that it is not the c... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 907, \"statements\": [[\"not\", [\"telling-truth\", 8]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"and\", [\"lying\", 7], [\"lying\", 8], [\"telling-truth\", 6]]]], [\"and\", [\"and\", [\"->\", [\"lying\", 3], [\"lying\", ... | {"split": "train", "index": 16463} |
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, Luke, Joseph, Harper, Aiden, Liam, Emma, Abigail, and Henry. Avery said that Joseph is a pioneer or ((Joseph is a laggard or Emma is a l... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 908, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"or\", [\"or\", [\"lying\", 2], [\"lying\", 6]], [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 2], [\"lying\", 6], [\"lying\", 4]]], [\"<=>\", [\"telling-truth\"... | {"split": "train", "index": 16464} |
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: Mason, Jacob, Benjamin, Sebastian, Ethan, Amelia, Charlotte, Matthew, and Riley. As Mason put it, \"if (if Riley is an egoist then (if Charlott... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 909, \"statements\": [[\"->\", [\"->\", [\"lying\", 8], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 8]]], [\"and\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 4]], [\"->\", [\"telling-truth\", 0], [\"lying\", 8]]]]... | {"split": "train", "index": 16465} |
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, Benjamin, Aurora, Harper, Chloe, Sofia, Oliver, William, and Samuel. \"it is not the case that ((William is a hero or Harper is a villain o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 910, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 7], [\"lying\", 3], [\"telling-truth\", 6]], [\"telling-truth\", 3]]], [\"telling-truth\", 5], [\"and\", [\"and\", [\"not\", [\"lying\", 0]], [\"and\", [\"... | {"split": "train", "index": 16466} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Henry, Lucas, Owen, Aiden, Noah, Penelope, Harper, Emily, and Scarlett. As Henry put it, \"(Lucas is an altruist and Aiden is an altruist and A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 911, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 3]], [\"telling-truth\", 3], [\"and\", [\"and\", [\"lying\", 5], [\"lying\", 2]], [\"not\", [\"lying\", 8]]]], [\"telling-tru... | {"split": "train", "index": 16467} |
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, Penelope, Evelyn, Victoria, Mason, Sebastian, Henry, Mia, and Jackson. \"((Victoria is a fool if and only if Jackson is a sage) or (if Mia is a fool... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 912, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 8]], [\"->\", [\"lying\", 7], [\"telling-truth\", 3]]], [\"or\", [\"telling-truth\", 8], [\"->\", [\"telling-truth\", 5], [\"lying\", 6]], ... | {"split": "train", "index": 16468} |
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, Daniel, Grace, Lucas, Isabella, Mia, Victoria, William, and Mason. \"Mason is a villain if and only if Grace is a hero,\" Penelope claimed.... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 913, \"statements\": [[\"<=>\", [\"lying\", 8], [\"telling-truth\", 2]], [\"lying\", 8], [\"or\", [\"lying\", 6], [\"telling-truth\", 4], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"lying\", 8]]], [\"tellin... | {"split": "train", "index": 16469} |
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, Amelia, Olivia, Benjamin, Avery, Evelyn, Elizabeth, Emma, and Lily. Riley stated, \"(it is not the case that (Elizabeth is a saint or Lily is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 914, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 6], [\"lying\", 8]]], [\"and\", [\"telling-truth\", 1], [\"not\", [\"lying\", 1]]]], [\"<=>\", [\"not\", [\"not\", [\"lying\", 7]]], [\"->\", [\"->\", [\"t... | {"split": "train", "index": 16470} |
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: Sophia, Oliver, Samuel, Victoria, Lily, David, William, Jack, and Aurora. Sophia was heard saying, \"Oliver is a fool\". Oliver commented, \"((Victoria is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 915, \"statements\": [[\"lying\", 1], [\"<=>\", [\"<=>\", [\"<=>\", [\"lying\", 3], [\"lying\", 8]], [\"not\", [\"lying\", 8]]], [\"lying\", 6]], [\"and\", [\"and\", [\"or\", [\"telling-truth\", 5], [\"lying\", 3], [\"telling-... | {"split": "train", "index": 16471} |
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: Chloe, Amelia, Samuel, Benjamin, Luke, Abigail, Grace, Avery, and Evelyn. Chloe said, \"(it is not the case that (Abigail is a devil if and only if Eve... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 916, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"lying\", 5], [\"lying\", 8]]], [\"->\", [\"or\", [\"lying\", 7], [\"telling-truth\", 1], [\"lying\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 4], [\"telling-truth... | {"split": "train", "index": 16472} |
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: Avery, Isabella, Victoria, Riley, Luke, Penelope, David, Sophia, and Owen. Avery stated, \"David is an egoist\". Isabella said that David is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 917, \"statements\": [[\"lying\", 6], [\"not\", [\"lying\", 6]], [\"not\", [\"<=>\", [\"not\", [\"lying\", 8]], [\"or\", [\"lying\", 5], [\"lying\", 4]]]], [\"telling-truth\", 0], [\"telling-truth\", 8], [\"->\", [\"and\", [\"... | {"split": "train", "index": 16473} |
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, Riley, Matthew, Grace, Sofia, David, Victoria, Jackson, and Sebastian. Abigail noted, \"(Sebastian is a fool or Sebastian is a sage or (if Matthew... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 918, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 8], [\"telling-truth\", 8], [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"->\", [\"lying\", 5], [\"lying\", 4]]], [\"lying\", 8], [\"and\", [\"<=>\", [\"lying\", 5], [\"<=>\... | {"split": "train", "index": 16474} |
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, Samuel, Olivia, Liam, Noah, Ava, Ella, Emily, and Logan. Lucas asserted: \"((Samuel is a laggard or Olivia is a laggard) or Logan is a l... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 919, \"statements\": [[\"and\", [\"or\", [\"or\", [\"lying\", 1], [\"lying\", 2]], [\"lying\", 8], [\"or\", [\"lying\", 3], [\"lying\", 2]]], [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 6], [\"<=>\", [\"ly... | {"split": "train", "index": 16475} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: William, Aurora, Amelia, Harper, Isabella, Abigail, Ethan, Emily, and Matthew. \"Aurora is a sinner,\" William claimed. \"Emily is a saint,\" Aurora ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 920, \"statements\": [[\"lying\", 1], [\"telling-truth\", 7], [\"->\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"<=>\", [\"telling-truth\", 6], [\"lying... | {"split": "train", "index": 16476} |
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, Olivia, Jackson, Emma, David, Sophia, Joseph, James, and Charlotte. \"(it is not the case that (David is a hero and Sophia is a villain)) i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 921, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 5]]], [\"->\", [\"<=>\", [\"lying\", 6], [\"lying\", 1]], [\"not\", [\"lying\", 6]]]], [\"lying\", 2], [\"and\", [\"not\", [\"->\", [\"tel... | {"split": "train", "index": 16477} |
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, David, Charlotte, Amelia, Grace, Benjamin, Lucas, Aria, and Sebastian. Ella noted, \"(if (if Aria is a villain then Sebastian is a villain) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 922, \"statements\": [[\"and\", [\"->\", [\"->\", [\"lying\", 7], [\"lying\", 8]], [\"<=>\", [\"lying\", 7], [\"lying\", 6]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 8]... | {"split": "train", "index": 16478} |
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: Ava, Michael, Charlotte, Jacob, Luke, Alexander, Joseph, William, and Lily. Ava asserted: \"Jacob is a knave\". Michael said that if ((if Alexander i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 923, \"statements\": [[\"lying\", 3], [\"->\", [\"and\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 5], [\"lying\", 0]], [\"telling-truth\", 8]], [\"<=>\", [\"->\", [... | {"split": "train", "index": 16479} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Grace, Owen, Sebastian, Aiden, Mason, Charlotte, Noah, Daniel, and Jackson. According to Grace, \"(Jackson is a hero if and only if Noah is a hero) i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 924, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 6]], [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4], [\"lying\", 1]]]], [\"->\", [\"not\", [\"<=>\", [\... | {"split": "train", "index": 16480} |
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: Daniel, Victoria, Oliver, Harper, Evelyn, Liam, Emma, Mason, and Noah. Daniel stated, \"it is not the case that ((Evelyn is an altruist if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 925, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 6]], [\"lying\", 1]]], [\"->\", [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"lying\", 5], [\"telling-truth\", 4]... | {"split": "train", "index": 16481} |
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: Penelope, Luke, Oliver, Emma, Victoria, Amelia, Logan, Ethan, and Liam. Penelope expressed that Victoria is a sinner. Luke stated, \"(if (if Penelope... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 926, \"statements\": [[\"lying\", 4], [\"<=>\", [\"->\", [\"->\", [\"lying\", 0], [\"lying\", 8]], [\"not\", [\"lying\", 2]]], [\"not\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 8]]]], [\"and\", [\"or\", [\"<=>\", [\"tell... | {"split": "train", "index": 16482} |
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, Jacob, Avery, Joseph, Ella, Ava, Sofia, Aurora, and Jackson. Aria asserted: \"((Avery is a hero and Jackson is a villain) or Avery is a hero) i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 927, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 8]], [\"telling-truth\", 2]], [\"lying\", 3]], [\"and\", [\"or\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 7], [\"telling-truth\", 1... | {"split": "train", "index": 16483} |
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: Jackson, Chloe, William, Noah, Scarlett, Sophia, Jacob, Isabella, and Samuel. \"((Isabella is an altruist or Noah is an egoist) if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 928, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 7], [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"->\", [\"telling-truth\", 6], [\"lying\", 6]]], [\"<=>\", [\"->\", [\"telling-truth\"... | {"split": "train", "index": 16484} |
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: Olivia, Riley, Logan, Joseph, Grace, Sophia, Ethan, Liam, and Ella. Olivia remarked, \"if (if (Olivia is an angel and Sophia is an angel) then Logan is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 929, \"statements\": [[\"->\", [\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 5]], [\"telling-truth\", 2]], [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 5], [\"lying... | {"split": "train", "index": 16485} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Victoria, Aria, Chloe, Jackson, Olivia, Evelyn, Aurora, Emily, and Mason. \"if (Jackson is a villain if and only if (if Aria is a villain then Emily ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 930, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 3], [\"->\", [\"lying\", 1], [\"telling-truth\", 7]]], [\"telling-truth\", 7]], [\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 8]], [\"lying\", 8]]... | {"split": "train", "index": 16486} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Mia, David, Ethan, Isabella, Elizabeth, Amelia, Owen, Charlotte, and Benjamin. Mia noted, \"if ((Amelia is a knight and David is a knight and Isabell... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 931, \"statements\": [[\"->\", [\"or\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"lying\", 1]], [\"not\", [\"not\", [\"not\", [\"ly... | {"split": "train", "index": 16487} |
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: Penelope, Lucas, Noah, Emily, Mason, Ella, Logan, Liam, and Benjamin. Penelope remarked, \"((Logan is a pioneer and Lucas is a laggard) or (Pen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 932, \"statements\": [[\"and\", [\"or\", [\"and\", [\"telling-truth\", 6], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 6]]], [\"->\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"not\", [\"te... | {"split": "train", "index": 16488} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Michael, Evelyn, Avery, Isabella, Aria, Owen, Harper, Benjamin, and Abigail. \"Aria is a knave,\" Michael claimed. \"if Harper is a knight then ((Mic... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 933, \"statements\": [[\"lying\", 4], [\"->\", [\"telling-truth\", 6], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying\", 2], [\"lying\", 8]]]], [\"or\", [\"->\", [\"->\", [\"telling-truth\", 7], [\"telling-trut... | {"split": "train", "index": 16489} |
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: Harper, Aiden, Victoria, James, Sofia, Elizabeth, Penelope, Sophia, and Evelyn. Harper noted, \"((if Elizabeth is a saint then Sofia is a sinner) if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 934, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 5], [\"lying\", 4]], [\"telling-truth\", 8]], [\"telling-truth\", 5], [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth... | {"split": "train", "index": 16490} |
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, Amelia, Olivia, Oliver, Jack, Avery, Zoey, Aiden, and Matthew. \"Abigail is a saint,\" Abigail declared. Amelia asserted: \"Olivia is a sain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 935, \"statements\": [[\"telling-truth\", 0], [\"not\", [\"lying\", 2]], [\"<=>\", [\"not\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 2]]], [\"telling-truth\", 0]], [\"<=>\", [\"<=>\", [\"not\", [\"lying\", 1]], [\"lying\... | {"split": "train", "index": 16491} |
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: Ella, Jack, Daniel, Matthew, Oliver, Elizabeth, Jacob, Victoria, and James. Ella expressed that (it is not the case that (Matthew is a pioneer ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 936, \"statements\": [[\"and\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 5]]], [\"and\", [\"lying\", 8], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 5]]], [\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\",... | {"split": "train", "index": 16492} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Michael, Aria, Benjamin, Noah, Aiden, Lucas, Emma, Scarlett, and Amelia. Michael stated, \"((Noah is a pioneer and Aiden is a pioneer and Benja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 937, \"statements\": [[\"and\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"and\", [\"lying\", 5], [\"telling-truth\", 1], [\"lying\", 1]], [\"lying\", 7]], [\"or\", [\"lying\... | {"split": "train", "index": 16493} |
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: Benjamin, Joseph, Aurora, Riley, Sofia, Aiden, Penelope, Henry, and Elizabeth. Benjamin stated, \"((Joseph is a fool) and (Aiden is a fool) and (Aurora is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 938, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 8]]], [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]]]], ... | {"split": "train", "index": 16494} |
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: Logan, Ethan, Isabella, William, Ella, Olivia, Abigail, Charlotte, and Chloe. As Logan put it, \"(Abigail is an egoist and (if Olivia is an alt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 939, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 6], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 1]]], [\"and\", [\"and\", [\"lying\", 6], [\"telling-trut... | {"split": "train", "index": 16495} |
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: Owen, Jacob, Ava, Aurora, David, Liam, Alexander, Sofia, and Jack. Owen said that if Jacob is a fool then (Jacob is a fool and (Alexander is a fool) and (A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 940, \"statements\": [[\"->\", [\"lying\", 1], [\"and\", [\"lying\", 1], [\"not\", [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 6], [\"lying\", 8], [\"lying\", 4]]]], [\"and\", [\"not\", [\"<=>\", [\"lying\", 0], [\"l... | {"split": "train", "index": 16496} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Jack, Isabella, Ava, Jackson, Avery, Alexander, Harper, Elizabeth, and Aria. As Jack put it, \"it is not the case that (if (Elizabeth is an alt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 941, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 4]], [\"lying\", 5]]], [\"->\", [\"and\", [\"or\", [\"telling-truth\", 6], [\"lying\", 0]], [\"lying\", 3]], [\"and\", [\"and\", [\"telling... | {"split": "train", "index": 16497} |
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: Oliver, Ella, Mia, Amelia, Daniel, David, Henry, Ethan, and Joseph. Oliver said, \"Daniel is a knight or David is a knight.\" \"((Ella is a knave) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 942, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"and\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 8]]], [\"<=>\", [\"or\", [\"telling-truth\", 8]... | {"split": "train", "index": 16498} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Aurora, Joseph, Olivia, David, Ava, Scarlett, William, Abigail, and Ethan. \"if ((Scarlett is a knight or Aurora is a knight or William is a knight) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 943, \"statements\": [[\"->\", [\"or\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 0], [\"telling-truth\", 6]], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 1], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", ... | {"split": "train", "index": 16499} |
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