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 pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Aiden, Elizabeth, David, Chloe, Sophia, Lucas, Mia, Abigail, and Ethan. Aiden noted, \"it is not the case that (if (Chloe is a laggard and Chlo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2044, \"statements\": [[\"not\", [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 7], [\"lying\", 4]]]], [\"and\", [\"lying\", 5], [\"and\", [\"and\", [\"lying\", 8], [\"telling-truth\",... | {"split": "train", "index": 17600} |
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, Emma, Sophia, Ella, Jack, Michael, Avery, Charlotte, and Riley. Samuel asserted: \"Jack is an angel and ((Riley is a devil or Michael is an ang... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2045, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"and\", [\"or\", [\"lying\", 8], [\"telling-truth\", 5], [\"lying\", 1]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]]... | {"split": "train", "index": 17601} |
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, Lucas, Mason, Elizabeth, Chloe, Daniel, Ava, Emily, and Isabella. Ella said that ((if Elizabeth is a villain then Lucas is a villain) and (if M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2046, \"statements\": [[\"or\", [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"lying\", 8]], [\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]... | {"split": "train", "index": 17602} |
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, Henry, Joseph, Harper, Liam, Logan, Michael, Jack, and William. \"(if (Harper is a hero and Joseph is a hero and William is a hero) then (Micha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2047, \"statements\": [[\"and\", [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\", 8]], [\"or\", [\"lying\", 6], [\"lying\", 5]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]]]], [\"... | {"split": "train", "index": 17603} |
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, Jacob, Matthew, Grace, Sebastian, Isabella, Ella, Ethan, and William. Emily noted, \"(if (Grace is an egoist or Grace is an altruist or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2048, \"statements\": [[\"or\", [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"or\", [\"lying\", 3], [\"telling-truth\", 6]]], [\"or\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\... | {"split": "train", "index": 17604} |
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: Mason, Lily, Logan, Isabella, Ava, Joseph, Noah, Charlotte, and James. Mason was heard saying, \"Isabella is a saint\". Lily was heard saying, \"if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2049, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"->\", [\"or\", [\"lying\", 5], [\"telling-truth\", 7], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 6]]], [\"telling-truth\", 7]], [\"and\", ... | {"split": "train", "index": 17605} |
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, Oliver, Zoey, Aurora, Charlotte, Sebastian, Jacob, Matthew, and Elizabeth. \"Charlotte is a devil,\" Grace declared. In a statement by Oliver: \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2050, \"statements\": [[\"lying\", 4], [\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 5]], [\"or\", [\"lying\", 7], [\"telling-truth\", 8], [\"lying\", 5]]]... | {"split": "train", "index": 17606} |
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, Amelia, Elizabeth, William, Jack, Sophia, Ethan, Logan, and Mia. Isabella asserted: \"((if Jack is a knight then Jack is a knave) and (Amel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2051, \"statements\": [[\"or\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 8], [\"lying\", 3], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"ly... | {"split": "train", "index": 17607} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Alexander, Amelia, Grace, Emily, Liam, Jackson, Owen, Penelope, and Aiden. Alexander was heard saying, \"(Emily is a sinner or Jackson is a sinner or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2052, \"statements\": [[\"or\", [\"or\", [\"lying\", 3], [\"lying\", 5], [\"or\", [\"lying\", 6], [\"lying\", 4], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"lying\", 5]]]], [\"->\", [\"<=>\", [\"<=>\", [\"lying\", 0], [\... | {"split": "train", "index": 17608} |
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, Jackson, Abigail, Ethan, Logan, Michael, Lucas, David, and Scarlett. Elizabeth told you that Logan is a sinner. \"if ((if Elizabeth is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2053, \"statements\": [[\"lying\", 4], [\"->\", [\"or\", [\"->\", [\"lying\", 0], [\"telling-truth\", 5]], [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 7], [\"lying\", 3]]], [\"->\", [\"lying\", 3], [\"and\", [\"lying\... | {"split": "train", "index": 17609} |
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, Jackson, Mia, Samuel, Owen, Henry, Grace, Amelia, and Avery. Isabella expressed that (if (Owen is a villain if and only if Mia is a hero) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2054, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 6], [\"lying\", 2], [\"telling-truth\", 3]]], [\"lying\", 5]], [\"and\", [\"<=>\", [\"or\", [\"telling-tr... | {"split": "train", "index": 17610} |
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: Michael, Daniel, Aurora, Aria, Riley, Chloe, Noah, Abigail, and Liam. Michael asserted: \"it is not the case that ((if Abigail is a hero then Riley i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2055, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 5]]]], [\"lying\", 4], [\"telling-truth\", 7], [\"->\", [\"<=>\", [\"lying\", 7], [\"or\", [\"t... | {"split": "train", "index": 17611} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Sophia, Abigail, Olivia, Owen, Daniel, Ava, Lucas, Elizabeth, and Penelope. Sophia said, \"if ((if Olivia is a sinner then Olivia is a saint) and (Ab... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2056, \"statements\": [[\"->\", [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"or\", [\"not\", [\"lying\", 5]], [\"telling-truth\", 3], [\"not\", [\"lying\", 1... | {"split": "train", "index": 17612} |
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: Daniel, Grace, Sebastian, Scarlett, Penelope, Avery, Sofia, Lily, and Ava. According to Daniel, \"((Ava is a fool or Daniel is a sage or Sebastian is a foo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2057, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"lying\", 8], [\"telling-truth\", 0], [\"lying\", 2]], [\"telling-truth\", 7], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 8]]], [\"->\", [\"and\", [\"lying\", 5], [\"lyi... | {"split": "train", "index": 17613} |
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: Emma, Aiden, Alexander, Ella, Jackson, Sophia, Elizabeth, Noah, and Emily. Emma expressed that ((Emily is a hero or Jackson is a hero) or (Ella is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2058, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 7], [\"telling-truth\", 8]]], [\"not\", [\"->\", [\"telling-truth\", 2... | {"split": "train", "index": 17614} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Sophia, Avery, Mason, Sofia, Riley, Chloe, Scarlett, Ethan, and Harper. Sophia remarked, \"it is not the case that (it is not the case that (Scarlett... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2059, \"statements\": [[\"not\", [\"not\", [\"not\", [\"lying\", 6]]]], [\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 7]]], [\"not\", [\"not\", [\"telling-truth\", 5]]]], [\"<=>\", [\... | {"split": "train", "index": 17615} |
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, Samuel, Logan, Lucas, Scarlett, Michael, Lily, Riley, and Henry. \"(it is not the case that (Henry is a sage or Samuel is a sage)) and ((Scarlett is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2060, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 8]], [\"not\", [\"lying\", 8]], [\"not\", [\"lying\", 5]]]],... | {"split": "train", "index": 17616} |
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, Zoey, Abigail, Aria, Isabella, Ethan, Jacob, James, and Sebastian. Aurora remarked, \"((Jacob is an angel) if and only if (James is a devil if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2061, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"lying\", 6]], [\"<=>\", [\"lying\", 7], [\"lying\", 6]]], [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 5]]]], [\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 4]... | {"split": "train", "index": 17617} |
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, Zoey, Ella, Jacob, Henry, Sofia, Penelope, Matthew, and Sophia. In Daniel's words: \"((Sofia is an altruist if and only if Zoey is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2062, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 6], [\"telling-tru... | {"split": "train", "index": 17618} |
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, Penelope, Mason, Henry, Evelyn, Michael, Alexander, William, and Avery. As Daniel put it, \"if (Mason is an egoist if and only if Henry... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2063, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 6], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 5]]]], [\"->\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"<=>\", [... | {"split": "train", "index": 17619} |
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, Jack, Luke, Jackson, Sophia, Lucas, Elizabeth, Grace, and Sofia. Owen said, \"it is not the case that (if (Grace is an angel or Lucas is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2064, \"statements\": [[\"not\", [\"->\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 5]], [\"or\", [\"lying\", 5], [\"telling-truth\", 6], [\"lying\", 7]]]], [\"lying\", 4], [\"->\", [\"lying\", 1], [\"lying\", 6]], ... | {"split": "train", "index": 17620} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Logan, Grace, Ethan, Ava, Ella, Abigail, Sophia, Evelyn, and Henry. Logan asserted: \"((Abigail is a knave) or (Ava is a knight and Ella is a knave a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2065, \"statements\": [[\"or\", [\"or\", [\"not\", [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 2]]], [\"telling-truth\", 1]], [\"lying\", 4], [\"lying\", 0], [\"->\", [\"and\", [\"tel... | {"split": "train", "index": 17621} |
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, Penelope, Jacob, William, Abigail, Victoria, Aiden, Avery, and Mia. Ella stated, \"Jacob is a villain\". Penelope said that if Ella is a hero t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2066, \"statements\": [[\"lying\", 2], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 6]], [\"not\", [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 7]]]], [\"->\", [\"telling-truth\", 0], [\"<=>\"... | {"split": "train", "index": 17622} |
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, Daniel, Logan, Aurora, Samuel, Penelope, Charlotte, Mia, and Owen. Abigail stated, \"if ((if Aurora is a sinner then Abigail is a saint) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2067, \"statements\": [[\"->\", [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"and\", [\"lying\", 8], [\"lying\", 7], [\"telling-truth\", 6]]], [\"telling-truth\", 1]], [\"<=>\", [\"and\", [\"->\", [\"lying\", ... | {"split": "train", "index": 17623} |
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, Sophia, David, Olivia, Lily, Elizabeth, Grace, Noah, and Oliver. Harper said, \"(if David is a knave then Grace is a knave) or ((David is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2068, \"statements\": [[\"or\", [\"->\", [\"lying\", 2], [\"lying\", 6]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"and\", [... | {"split": "train", "index": 17624} |
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: Chloe, Isabella, Charlotte, James, Elizabeth, Noah, Benjamin, Alexander, and Luke. Chloe was heard saying, \"(if (Benjamin is a hero or James is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2069, \"statements\": [[\"and\", [\"->\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 2]]], [\"telling-truth\", 7], [\"or\", [\"lying\... | {"split": "train", "index": 17625} |
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: Mason, Avery, Sophia, Aria, Jackson, Olivia, Penelope, Abigail, and Isabella. \"if (if Olivia is a saint then (Olivia is a saint or Jackson is a sain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2070, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 5], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 6], [\"lying\", 5]], [\"and\", [\"telling-truth... | {"split": "train", "index": 17626} |
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: Noah, Evelyn, Grace, Penelope, Charlotte, Henry, Lucas, Luke, and Alexander. \"(it is not the case that (Grace is a saint and Luke is a saint)) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2071, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 7]]], [\"and\", [\"or\", [\"lying\", 2], [\"lying\", 6]], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 4], [\"lying\", 5]... | {"split": "train", "index": 17627} |
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, Amelia, Mia, Logan, Jack, Jackson, Noah, Scarlett, and Lily. Ella told you that ((Jackson is a villain if and only if Jackson is a hero) and No... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2072, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 5]], [\"telling-truth\", 6], [\"lying\", 8]], [\"telling-truth\", 0]], [\"and\", [\"not\", [\"or\", [\"telling-truth\", 5], [\"telling-tr... | {"split": "train", "index": 17628} |
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, David, Amelia, Mason, Matthew, Ava, Abigail, Logan, and Jackson. \"Jackson is an altruist\" - Emily. \"((Ava is an egoist) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2073, \"statements\": [[\"telling-truth\", 8], [\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"and\", [\"lying\", 5], [\"lying\", 8], [\"lying\", 0]]], [\"or\", [\"not\", [\"lying\", 5]], [\"telling-truth\", 8], [\"-... | {"split": "train", "index": 17629} |
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: Jack, Grace, Joseph, Avery, Ava, Aiden, Chloe, Benjamin, and Lily. Jack remarked, \"Ava is a pioneer and (it is not the case that (Lily is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2074, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"not\", [\"not\", [\"telling-truth\", 8]]]], [\"not\", [\"telling-truth\", 7]], [\"and\", [\"<=>\", [\"or\", [\"lying\", 6], [\"telling-truth\", 2], [\"telling-truth\"... | {"split": "train", "index": 17630} |
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: Harper, James, Scarlett, Oliver, Avery, Matthew, Abigail, Lily, and Isabella. \"((if Lily is an egoist then Avery is an egoist) or (Abigail is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2075, \"statements\": [[\"and\", [\"or\", [\"->\", [\"lying\", 7], [\"lying\", 4]], [\"not\", [\"lying\", 6]]], [\"<=>\", [\"telling-truth\", 7], [\"not\", [\"telling-truth\", 3]]], [\"telling-truth\", 3]], [\"and\", [\"and\",... | {"split": "train", "index": 17631} |
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: Aurora, Henry, Lucas, Daniel, Ava, Zoey, Ella, Elizabeth, and Grace. Aurora commented, \"if (if (Henry is a sinner or Aurora is a saint) then (if Zoe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2076, \"statements\": [[\"->\", [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 5], [\"lying\", 1]]], [\"->\", [\"or\", [\"lying\", 8], [\"lying\", 7]], [\"->\", [\"telling-truth\", 5], ... | {"split": "train", "index": 17632} |
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: Emma, Jackson, Sofia, Ava, Charlotte, Aria, Chloe, Ethan, and Amelia. \"((Sofia is a villain) if and only if (Ava is a hero if and only if Aria is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2077, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 5]]], [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 7]], [\"and\", [\"lying\", 2], [\"lying\", 5]], [\... | {"split": "train", "index": 17633} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Scarlett, Olivia, Emily, Avery, Noah, Daniel, Jacob, Amelia, and Logan. \"((Amelia is a villain or Amelia is a hero) and Jacob is a villain) and ((Em... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2078, \"statements\": [[\"and\", [\"and\", [\"or\", [\"lying\", 7], [\"telling-truth\", 7]], [\"lying\", 6]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 8]], [\"and\", [\"lying\", 2], [\"lying\", 1]], [\"not\", [\... | {"split": "train", "index": 17634} |
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: Joseph, Evelyn, Emily, Samuel, Olivia, Liam, Matthew, Ella, and Avery. In a statement by Joseph: \"Ella is an egoist and (if (Olivia is an altr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2079, \"statements\": [[\"and\", [\"lying\", 7], [\"->\", [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 7], [\"telling-truth\", 8]]], [\"<=>\", [\"telling-truth\", 4], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 5]]]], [\"... | {"split": "train", "index": 17635} |
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, Emma, William, Ethan, Jackson, Evelyn, Penelope, Ella, and Aria. Emily noted, \"Ethan is a sinner or (Penelope is a saint or (if Evelyn is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2080, \"statements\": [[\"or\", [\"lying\", 3], [\"or\", [\"telling-truth\", 6], [\"->\", [\"lying\", 5], [\"lying\", 1]], [\"and\", [\"telling-truth\", 6], [\"lying\", 8]]]], [\"->\", [\"or\", [\"or\", [\"lying\", 4], [\"tell... | {"split": "train", "index": 17636} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Aiden, Matthew, Luke, Lucas, James, Amelia, Penelope, Victoria, and Riley. Aiden said, \"Riley is a knave or (it is not the case that (Victoria is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2081, \"statements\": [[\"or\", [\"lying\", 8], [\"not\", [\"not\", [\"telling-truth\", 7]]], [\"->\", [\"or\", [\"telling-truth\", 5], [\"lying\", 1]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 3], [\"lying\", 3]]... | {"split": "train", "index": 17637} |
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, Jack, Emily, Ethan, Penelope, Benjamin, David, Aurora, and Abigail. \"((if Aurora is an altruist then Avery is an altruist) and (Jack is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2082, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 0]], [\"or\", [\"lying\", 1], [\"lying\", 3]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 1]]], [\"lying\", 8], [\"not\"... | {"split": "train", "index": 17638} |
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, Jackson, Owen, Luke, Sofia, James, Victoria, William, and Alexander. \"((if Owen is an angel then James is an angel) if and only if (Sofia is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2083, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 6]]], [\"lying\", 2]], [\"or\", [\"->\", [\"->\", [\"telling-truth\", 3]... | {"split": "train", "index": 17639} |
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, Mia, Alexander, Aurora, Aiden, James, Amelia, Jack, and Isabella. \"Mia is a hero\" - Penelope. Mia commented, \"Amelia is a villain\". Ale... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2084, \"statements\": [[\"not\", [\"lying\", 1]], [\"lying\", 6], [\"lying\", 0], [\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 8]]], [\"<=>\", [\"not\", [\"lying\",... | {"split": "train", "index": 17640} |
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: Elizabeth, Abigail, Lucas, Ella, Mason, Owen, Noah, Jackson, and Logan. Elizabeth told you that ((Ella is an egoist) and (Owen is an altruist i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2085, \"statements\": [[\"and\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"and\", [\"lying\", 8], [\"telling-truth\", 5], [\"telling-truth\", 7]]], [\"->\", [\"-... | {"split": "train", "index": 17641} |
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: Evelyn, Lily, Charlotte, Jackson, Jack, Isabella, Jacob, Logan, and Amelia. Evelyn told you that if ((Charlotte is an egoist and Isabella is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2086, \"statements\": [[\"->\", [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 5]], [\"->\", [\"lying\", 8], [\"lying\", 1]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"telling-truth\", 5]]], [\"n... | {"split": "train", "index": 17642} |
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: Aria, Samuel, Evelyn, Abigail, Sebastian, David, Amelia, Henry, and Sophia. Aria asserted: \"((Amelia is a knave) if and only if (if Sebastian is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2087, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 5]]], [\"not\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 2], [\"lying\", 4]]], [\"<... | {"split": "train", "index": 17643} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Oliver, Mason, Victoria, Amelia, Lucas, Abigail, Jackson, William, and Henry. Oliver remarked, \"(it is not the case that (Abigail is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2088, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 7]]], [\"not\", [\"->\", [\"lying\", 6], [\"lying\", 7]]]], [\"or\", [\"and\", [\"and\", [\"lying\", 8], [\"telling-truth\", 5]],... | {"split": "train", "index": 17644} |
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: Ava, Ella, Liam, David, Isabella, Henry, Sofia, Abigail, and Noah. Ava commented, \"if ((David is an egoist and Sofia is an altruist) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2089, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 6]]], [\"->\", [\"telling-truth\", 1], [\"and\", [\"lying\", 2], [\"lying\", 7]]... | {"split": "train", "index": 17645} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Oliver, Benjamin, Joseph, Aria, Owen, Penelope, Henry, Emily, and Evelyn. Oliver noted, \"if ((Benjamin is an altruist or Penelope is an egoist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2090, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 5]], [\"or\", [\"lying\", 4], [\"telling-truth\", 8], [\"telling-truth\", 6]]], [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4], ... | {"split": "train", "index": 17646} |
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, Jackson, Elizabeth, Evelyn, Joseph, Riley, Logan, Charlotte, and Aurora. Amelia was heard saying, \"if ((Riley is an egoist if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2091, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"lying\", 5], [\"lying\", 6]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 4], [\"lying\", 6]], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\",... | {"split": "train", "index": 17647} |
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: Jacob, Victoria, Oliver, Matthew, Noah, Mason, Jack, Aria, and Riley. \"(if (Matthew is a fool) then (Victoria is a fool)) if and only if ((if Aria is a fo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2092, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"lying\", 7], [\"telling-truth\", 0]], [\"and\", [\"lying\", 5], [\"telling-truth\", 4], [\"l... | {"split": "train", "index": 17648} |
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: Ethan, Avery, Matthew, Aria, Chloe, Benjamin, Liam, Elizabeth, and Michael. Ethan said that (if (Michael is a pioneer or Liam is a laggard) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2093, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 8], [\"lying\", 6]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]]... | {"split": "train", "index": 17649} |
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: Abigail, Owen, Zoey, Liam, Ethan, Sebastian, Joseph, Jackson, and Alexander. Abigail said that Sebastian is a knight. In Owen's words: \"it is not th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2094, \"statements\": [[\"telling-truth\", 5], [\"not\", [\"or\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 1], [\"lying\", 4]]]], [\"and\", [\"or\", [\"or\", [\"l... | {"split": "train", "index": 17650} |
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: Avery, Jacob, Amelia, Daniel, Victoria, Grace, Scarlett, Chloe, and Evelyn. Avery stated, \"Scarlett is a knight if and only if ((Grace is a knight i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2095, \"statements\": [[\"<=>\", [\"telling-truth\", 6], [\"or\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 7]], [\"->\", [\"lying\", 1], [\"telling-truth\", 7]]]], [\"<=>\", [\"or\", [\"not\", [\"lying\", 8]], [\"... | {"split": "train", "index": 17651} |
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, Aurora, Benjamin, David, Emily, Elizabeth, Chloe, Lily, and Liam. Matthew stated, \"Lily is a fool\". \"((if Matthew is a fool then Matthew is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2096, \"statements\": [[\"lying\", 7], [\"and\", [\"<=>\", [\"->\", [\"lying\", 0], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"lying\", 8], [\"lying\", 3]]], [\"telling-truth\", 0], [\"not\", [\"and\", [\"ly... | {"split": "train", "index": 17652} |
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, Aurora, Jackson, Noah, Lucas, Amelia, Ava, and Luke. Ethan commented, \"Ella is a villain\". In Ella's words: \"(if (Noah is a hero if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2097, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"not\", [\"lying\", 3]]], [\"not\", [\"lying\", 2]]], [\"and\", [\"telling-truth\", 5], ... | {"split": "train", "index": 17653} |
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, Jacob, Grace, Matthew, Ava, Olivia, Jackson, Emily, and Samuel. Evelyn noted, \"Emily is a laggard\". Jacob asserted: \"((Grace is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2098, \"statements\": [[\"lying\", 7], [\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 5]]], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 8]], [\"telling-truth\", 7]]], [\"lying\", 8], [\... | {"split": "train", "index": 17654} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Lily, Logan, Liam, Amelia, Penelope, Samuel, Owen, Harper, and Evelyn. Lily commented, \"Evelyn is a sage\". \"Lily is a fool,\" Logan claimed. Liam commen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2099, \"statements\": [[\"telling-truth\", 8], [\"lying\", 0], [\"telling-truth\", 8], [\"->\", [\"telling-truth\", 4], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], [\"and\", [\"lying\", 2], [\"lying\", 8]], [\"... | {"split": "train", "index": 17655} |
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, Olivia, William, Lucas, Owen, Zoey, Ava, Victoria, and Jackson. According to Lily, \"((Ava is a pioneer) if and only if (Zoey is a pionee... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2100, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"lying\", 6]], [\"not\", [\"lying\", 5]]], [\"<=>\", [\"not\", [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 2], [\"lying\", 1], [\"lying\", 6]]], [\"and\", [\"lyin... | {"split": "train", "index": 17656} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Emma, Avery, Michael, Oliver, Aurora, Jack, Chloe, Joseph, and Victoria. In Emma's words: \"((Victoria is an egoist) or (Oliver is an altruist)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2101, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"telling-truth\", 8]], [\"not\", [\"lying\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth\", 6]]], [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 6]], [\"->\", [\... | {"split": "train", "index": 17657} |
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: Scarlett, Olivia, Joseph, Zoey, Mia, Liam, Sebastian, Oliver, and Jack. Scarlett stated, \"it is not the case that ((Liam is an egoist and Oliv... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2102, \"statements\": [[\"not\", [\"and\", [\"and\", [\"lying\", 5], [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 1]]]], [\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"tellin... | {"split": "train", "index": 17658} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Riley, Penelope, Ella, Aurora, Ava, Sophia, Amelia, Olivia, and James. According to Riley, \"Sophia is a hero\". Penelope was heard saying, \"(Ava is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2103, \"statements\": [[\"telling-truth\", 5], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 7], [\"lying\", 4]], [\"not\", [\"telling-trut... | {"split": "train", "index": 17659} |
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, Isabella, Noah, James, Emma, Henry, Michael, William, and Jacob. Daniel noted, \"((Henry is an egoist and Daniel is an altruist and Noa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2104, \"statements\": [[\"or\", [\"and\", [\"and\", [\"lying\", 5], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2], [\"lying\", 7]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 5],... | {"split": "train", "index": 17660} |
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, Amelia, Aria, Sophia, Abigail, Chloe, Victoria, Isabella, and Daniel. Penelope said that (if (Penelope is an angel or Daniel is a devil) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2105, \"statements\": [[\"and\", [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 8]], [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"or\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]],... | {"split": "train", "index": 17661} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Ava, Abigail, Ethan, Harper, Isabella, Owen, David, Sophia, and Jack. Ava said that if ((David is an angel or Jack is an angel) if and only if (Sophia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2106, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 8]], [\"not\", [\"lying\", 7]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 6]], [\"->\", [\"lying\", 4], [\"tel... | {"split": "train", "index": 17662} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Riley, Zoey, Ella, Charlotte, Emma, Amelia, Joseph, Jacob, and Henry. \"if Ella is an angel then (Henry is an angel if and only if (if Amelia is a devi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2107, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 8], [\"->\", [\"lying\", 5], [\"lying\", 6]]]], [\"and\", [\"lying\", 7], [\"->\", [\"->\", [\"lying\", 8], [\"telling-truth\", 7]], [\"<=>\... | {"split": "train", "index": 17663} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: William, Lily, Aurora, Noah, Michael, Isabella, James, Samuel, and Emily. William commented, \"Noah is a devil\". In Lily's words: \"it is not the case... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2108, \"statements\": [[\"lying\", 3], [\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 8]], [\"or\", [\"lying\", 6], [\"telling-truth\", 6], [\"lying\", 8]]]], [\"or\", [\"lying\", 3], [\"telling-truth... | {"split": "train", "index": 17664} |
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, Joseph, Liam, Aurora, Abigail, Mason, Harper, Owen, and Sophia. \"((Sophia is a knave and Liam is a knight) and (if Abigail is a knight then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2109, \"statements\": [[\"or\", [\"and\", [\"and\", [\"lying\", 8], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 4], [\"lying\", 6]], [\"or\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"telling-tr... | {"split": "train", "index": 17665} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Aurora, Jacob, Mason, Benjamin, David, Scarlett, Joseph, Aiden, and Harper. According to Aurora, \"((Jacob is a pioneer) or Benjamin is a lagga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2110, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"lying\", 1]], [\"lying\", 3], [\"and\", [\"lying\", 2], [\"lying\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\",... | {"split": "train", "index": 17666} |
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, Abigail, Elizabeth, Owen, Henry, Jack, Victoria, Luke, and Oliver. In a statement by Samuel: \"Elizabeth is a devil\". \"((Abigail is a devil) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2111, \"statements\": [[\"lying\", 2], [\"and\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], [\"lying\", 6]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 7], [\"telling-truth\", 8]]]], [\... | {"split": "train", "index": 17667} |
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: Oliver, Emma, Isabella, Sebastian, Samuel, Olivia, Logan, Jacob, and Benjamin. Oliver commented, \"((Emma is a saint and Oliver is a saint and Samuel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2112, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 4]], [\"not\", [\"lying\", 5]]], [\"<=>\", [\"->\", [\"lying\", 6], [\"lying\", 7]], [\"or\", [\"lying\", 8], [\"t... | {"split": "train", "index": 17668} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Ella, Emma, Ethan, James, Aria, Mia, Abigail, Logan, and David. In a statement by Ella: \"((James is an angel or Aria is a devil) or (if James is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2113, \"statements\": [[\"and\", [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"lying\", 7]], [\"and\", [\"->\", [\"lying\", 8], [\"telling-truth\", 4]],... | {"split": "train", "index": 17669} |
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, Jack, Matthew, Joseph, Henry, Abigail, Riley, Isabella, and William. As Oliver put it, \"if ((Isabella is a hero if and only if Henry is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2114, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"lying\", 7]], [\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 5]], [\"->\", [\"lying\", 7], [\"lying\", 8]]]], [\"not\", [\... | {"split": "train", "index": 17670} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Evelyn, Jack, Lily, Alexander, Ava, Daniel, James, Avery, and Matthew. Evelyn stated, \"(if (if Ava is a knave then Lily is a knight) then (Ava is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2115, \"statements\": [[\"and\", [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]]], [\"->\", [\"lying\", 1], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"... | {"split": "train", "index": 17671} |
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, Emily, Owen, Olivia, Jacob, Amelia, Scarlett, Avery, and Jackson. Isabella commented, \"Jackson is a villain\". Emily asserted: \"((Jacob i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2116, \"statements\": [[\"lying\", 8], [\"<=>\", [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\", [\"lying\", 7]]], [\"or\", [\"or\", [\"lying\", 4], [\"lying\", 0], [\"lying\", 8]... | {"split": "train", "index": 17672} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Michael, Sebastian, Mason, Avery, Evelyn, Logan, Zoey, Ava, and James. Michael remarked, \"Avery is a sinner\". Sebastian remarked, \"if ((Mason is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2117, \"statements\": [[\"lying\", 3], [\"->\", [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 8]]], [\"->\", [\"telling-truth\", 0], [\"not\", [\"lying\", 5]]]], [\"<... | {"split": "train", "index": 17673} |
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: Noah, Liam, William, Samuel, Ava, Matthew, Elizabeth, Lucas, and Benjamin. According to Noah, \"if ((Liam is a hero or Noah is a hero or Elizabeth is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2118, \"statements\": [[\"->\", [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 6]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 8], [\"lying\", 3]], [\"lying\", 1]], [\"<=>\", [\"or\", ... | {"split": "train", "index": 17674} |
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: Sophia, William, Evelyn, Owen, Daniel, Aurora, Charlotte, David, and Aria. \"Aurora is an angel and ((Evelyn is an angel and Charlotte is a devil) or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2119, \"statements\": [[\"and\", [\"telling-truth\", 5], [\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 6]], [\"not\", [\"telling-truth\", 5]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"t... | {"split": "train", "index": 17675} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Scarlett, Jack, Sophia, Luke, Noah, William, Olivia, Jackson, and Chloe. In Scarlett's words: \"Luke is a hero\". \"Noah is a hero and ((if Chloe is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2120, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"telling-truth\", 4], [\"<=>\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 2]], [\"telling-truth\", 0]], [\"->\", [\"lying\", 5], [\"and\", [\"lying\", 5], [... | {"split": "train", "index": 17676} |
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: Noah, Samuel, Alexander, Jacob, Charlotte, Amelia, Sophia, Benjamin, and Chloe. Noah stated, \"it is not the case that (Alexander is an egoist)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2121, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"telling-truth\", 5], [\"not\", [\"lying\", 2]]]], [\"and\", [\"not\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 3]]], [\"not... | {"split": "train", "index": 17677} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Sebastian, Ethan, Avery, Emily, David, Luke, Olivia, Benjamin, and Logan. According to Sebastian, \"if (Ethan is a pioneer) then Luke is a lagg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2122, \"statements\": [[\"->\", [\"not\", [\"lying\", 1]], [\"lying\", 5]], [\"telling-truth\", 3], [\"not\", [\"->\", [\"or\", [\"lying\", 0], [\"telling-truth\", 5], [\"telling-truth\", 7]], [\"->\", [\"lying\", 0], [\"telli... | {"split": "train", "index": 17678} |
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: Amelia, Henry, Jackson, Lily, Michael, William, Aurora, Alexander, and Sophia. In a statement by Amelia: \"if ((Sophia is a saint) and (if Lily is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2123, \"statements\": [[\"->\", [\"and\", [\"not\", [\"lying\", 8]], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"and\", [\"not\", [\"lying\", 5]], [\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"tellin... | {"split": "train", "index": 17679} |
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, Daniel, Abigail, Amelia, Ethan, Emily, Charlotte, Sofia, and James. Jackson told you that Abigail is a knight. Daniel told you that Sofia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2124, \"statements\": [[\"telling-truth\", 2], [\"lying\", 7], [\"<=>\", [\"or\", [\"<=>\", [\"lying\", 6], [\"lying\", 7]], [\"or\", [\"lying\", 1], [\"lying\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 7]]... | {"split": "train", "index": 17680} |
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: Samuel, Isabella, Daniel, Benjamin, Zoey, Henry, James, Owen, and Aurora. Samuel expressed that Aurora is a villain. Isabella expressed that ((Samuel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2125, \"statements\": [[\"not\", [\"telling-truth\", 8]], [\"or\", [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 6], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 5]], [\"->\", [\"telling-tru... | {"split": "train", "index": 17681} |
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, Emma, Mia, Olivia, Jacob, Ella, Victoria, and Luke. \"((Ella is a knight and Emma is a knight and Olivia is a knight) and (Ella is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2126, \"statements\": [[\"and\", [\"and\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 5]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4], ... | {"split": "train", "index": 17682} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Oliver, James, Ava, Avery, Aria, Grace, Evelyn, Jack, and Ethan. Oliver said, \"Jack is an altruist.\" \"it is not the case that ((Evelyn is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2127, \"statements\": [[\"telling-truth\", 7], [\"not\", [\"or\", [\"and\", [\"lying\", 6], [\"telling-truth\", 5]], [\"telling-truth\", 6]]], [\"->\", [\"->\", [\"or\", [\"lying\", 0], [\"telling-truth\", 7]], [\"lying\", 1]]... | {"split": "train", "index": 17683} |
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: James, Jackson, Ava, Matthew, Grace, Emily, Ethan, Zoey, and Victoria. James expressed that Matthew is a sage if and only if (Jackson is a sage if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2128, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 1]]]], [\"and\", [\"<=>\", [\"<=>\", [\"telling-truth\", 5], [\"te... | {"split": "train", "index": 17684} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Riley, Elizabeth, Ava, Henry, Zoey, Aurora, Matthew, Liam, and Benjamin. According to Riley, \"Zoey is a villain and (if (Benjamin is a hero if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2129, \"statements\": [[\"and\", [\"lying\", 4], [\"->\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 3]], [\"and\", [\"telling-truth\", 5], [\"lying\", 5]]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"->\", ... | {"split": "train", "index": 17685} |
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, Amelia, Lucas, Luke, Ethan, Sofia, Chloe, Daniel, and Mia. Victoria said, \"((Daniel is a hero) if and only if (Amelia is a villain and Chl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2130, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"lying\", 7]], [\"and\", [\"lying\", 1], [\"telling-truth\", 6], [\"telling-truth\", 7]]], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 8], [\"lying\", 3... | {"split": "train", "index": 17686} |
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: Ella, Sophia, Michael, Grace, Samuel, Mason, Sebastian, James, and Henry. \"it is not the case that (if (Henry is an egoist and Grace is an ego... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2131, \"statements\": [[\"not\", [\"->\", [\"and\", [\"lying\", 8], [\"lying\", 3], [\"telling-truth\", 2]], [\"not\", [\"lying\", 7]]]], [\"or\", [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"lying\"... | {"split": "train", "index": 17687} |
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: Ava, William, Grace, Daniel, Sebastian, Emma, James, Evelyn, and Aiden. Ava said, \"((if William is an altruist then Sebastian is an altruist) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2132, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"lying\", 6], [\"lying\", 1], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-tr... | {"split": "train", "index": 17688} |
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, Abigail, Jackson, Olivia, Michael, Elizabeth, Samuel, Luke, and Lily. \"((Elizabeth is a laggard if and only if Jackson is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2133, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 8], [\"lying\", 6]]], [\"lying\", 2], [\"lying\", 4]], [\"telling-truth\", 0], [\"and\", [\"and\", [\"an... | {"split": "train", "index": 17689} |
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, Mia, Charlotte, Luke, Zoey, Alexander, Isabella, David, and Ethan. William noted, \"(if (Zoey is a sage and Isabella is a sage) then (if Alexander... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2134, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 5], [\"lying\", 6]]], [\"and\", [\"and\", [\"lying\", 5], [\"telling-truth\", 7]], [\"and\", [\"... | {"split": "train", "index": 17690} |
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, Owen, Aiden, Chloe, Harper, Ella, Aurora, Grace, and Victoria. Lucas was heard saying, \"if ((Chloe is a pioneer if and only if Harper i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2135, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"lying\", 4], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 7]]], [\"or\", [\"->\", [\"or\", [\"... | {"split": "train", "index": 17691} |
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, Mia, Grace, Michael, Jack, Henry, Avery, Charlotte, and Matthew. In Amelia's words: \"Mia is a fool\". \"it is not the case that (it is not the cas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2136, \"statements\": [[\"lying\", 1], [\"not\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"telling-truth\", 2]]]], [\"telling-truth\", 1], [\"telling-truth\", 4], [\"->\", [\"or\", [\"not\", [\"lyin... | {"split": "train", "index": 17692} |
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: Mia, Daniel, David, William, Olivia, Lily, Ava, Samuel, and Ethan. Mia asserted: \"(if (David is a sage) then (Mia is a sage and Lily is a sage)) or ((Etha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2137, \"statements\": [[\"or\", [\"->\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 5]]], [\"or\", [\"and\", [\"lying\", 8], [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"telling-tru... | {"split": "train", "index": 17693} |
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, Oliver, Ava, Emma, Victoria, Jack, Joseph, Aiden, and Sophia. Chloe said, \"(it is not the case that (Emma is a pioneer)) if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2138, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"lying\", 3]]], [\"telling-truth\", 2]], [\"lying\", 4], [\"and\", [\"not\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 4]]], [\"->\", [\"telling-truth\", 1], [\... | {"split": "train", "index": 17694} |
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, Charlotte, Sebastian, Sofia, Aiden, Chloe, Grace, Sophia, and Olivia. Logan expressed that if ((Aiden is an altruist if and only if Grac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2139, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 5]], [\"o... | {"split": "train", "index": 17695} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Lily, Luke, William, Samuel, James, Daniel, Matthew, Ella, and Evelyn. In Lily's words: \"(it is not the case that (Ella is an egoist if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2140, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"lying\", 7], [\"lying\", 4]]], [\"->\", [\"or\", [\"lying\", 7], [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"lying\", 6]]], [\"->\", [\"a... | {"split": "train", "index": 17696} |
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: Scarlett, Lily, Grace, Emily, Harper, Aiden, Isabella, Charlotte, and Jackson. As Scarlett put it, \"Lily is a knight\". Lily commented, \"((if Jacks... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2141, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"or\", [\"->\", [\"lying\", 8], [\"lying\", 6]], [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 2]]], [\"<=... | {"split": "train", "index": 17697} |
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: Amelia, Scarlett, Charlotte, Lily, Jackson, Mia, Riley, Sebastian, and Michael. Amelia stated, \"(it is not the case that (Michael is a sinner)) or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2142, \"statements\": [[\"or\", [\"not\", [\"not\", [\"telling-truth\", 8]]], [\"not\", [\"<=>\", [\"lying\", 6], [\"lying\", 4]]]], [\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 5]], [\"not\", [\"te... | {"split": "train", "index": 17698} |
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, Sofia, Charlotte, Alexander, Grace, Olivia, Penelope, Liam, and Luke. \"it is not the case that (Olivia is a pioneer and (Liam is a lag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2143, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 5], [\"not\", [\"telling-truth\", 7]]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"not\", [\"lying\", 3]], [\"lying\", 8]]], [\"and\", [\"and\", [\"... | {"split": "train", "index": 17699} |
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