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 sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: James, Michael, Benjamin, Sophia, Charlotte, Sebastian, Zoey, Lucas, and Henry. James stated, \"it is not the case that (if (Michael is a fool) then (James... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1944, \"statements\": [[\"not\", [\"->\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 5], [\"lying\", 3]]]], [\"->\", [\"lying\", 3], [\"or\", [\"and\", [\"telling-truth\", 2], [\"t... | {"split": "train", "index": 17500} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Benjamin, Elizabeth, Scarlett, Penelope, Daniel, Avery, Matthew, Victoria, and Lucas. Benjamin said that (it is not the case that (Daniel is a villai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1945, \"statements\": [[\"or\", [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 7]]], [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0]]]], [\"not\", [\"->\", [\"not\", [\"lying\", 5]], ... | {"split": "train", "index": 17501} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Riley, Emily, Sebastian, Jackson, Logan, David, Luke, Scarlett, and Sofia. Riley was heard saying, \"(it is not the case that (David is an egoi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1946, \"statements\": [[\"or\", [\"not\", [\"and\", [\"lying\", 5], [\"telling-truth\", 6], [\"lying\", 1]]], [\"or\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"or\", [\"lying\", 1], [\"telling-truth\", 3], ... | {"split": "train", "index": 17502} |
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: Elizabeth, Mason, Jacob, Ella, Abigail, Lucas, Matthew, Ava, and Jackson. In Elizabeth's words: \"((Jacob is a knight if and only if Lucas is a knigh... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1947, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"or\", [\"lying\", 4], [\"telling-truth\", 5], [\"lying\", 5]]], [\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-trut... | {"split": "train", "index": 17503} |
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: Owen, Sofia, James, Harper, Joseph, Lily, Sebastian, Jackson, and David. In Owen's words: \"if ((if Sofia is a saint then Jackson is a sinner) or Dav... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1948, \"statements\": [[\"->\", [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 7]], [\"telling-truth\", 8]], [\"not\", [\"lying\", 8]]], [\"or\", [\"telling-truth\", 5], [\"lying\", 6], [\"telling-truth\", 0]], [\"or\",... | {"split": "train", "index": 17504} |
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: Logan, Sofia, Ethan, William, Abigail, Scarlett, Henry, James, and Harper. Logan noted, \"(it is not the case that (if William is a villain then Scar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1949, \"statements\": [[\"and\", [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 5]]], [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 1], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<... | {"split": "train", "index": 17505} |
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: Michael, Liam, Scarlett, Sofia, Isabella, Victoria, Noah, Elizabeth, and Grace. Michael stated, \"(if (Grace is a sage) then (if Noah is a fool then Grace ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1950, \"statements\": [[\"or\", [\"->\", [\"not\", [\"lying\", 8]], [\"->\", [\"lying\", 6], [\"telling-truth\", 8]]], [\"not\", [\"telling-truth\", 4]], [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 6]]]], [\"telling-truth\... | {"split": "train", "index": 17506} |
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: Jack, Victoria, Logan, Emma, Penelope, Harper, Emily, Jacob, and Liam. Jack remarked, \"Logan is an angel\". \"((Liam is an angel or Emily is a devil o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1951, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"and\", [\"or\", [\"telling-truth\", 8], [\"lying\", 6], [\"lying\", 3]], [\"->\", [\"lying\", 7], [\"telling-truth\", 8]]], [\"not\", [\"or\", [\"telling-truth\", 4],... | {"split": "train", "index": 17507} |
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: Harper, Ava, Scarlett, Aria, Abigail, Olivia, Joseph, Sophia, and Benjamin. \"if ((Aria is a laggard if and only if Aria is a pioneer) and (Har... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1952, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 6], [\"telling-truth\", 7]... | {"split": "train", "index": 17508} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Ava, Lily, David, Harper, Jacob, Mason, Lucas, Avery, and Victoria. Ava was heard saying, \"if Lily is a fool then ((if Ava is a sage then Jacob is a sage)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1953, \"statements\": [[\"->\", [\"lying\", 1], [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"telling-truth\", 0], [\"->\", [\"lying\", 6], [\"telling-truth\", 5]]]], [\"<=>\", [\"and\", [\"telling-trut... | {"split": "train", "index": 17509} |
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, Daniel, Ella, Michael, Noah, Oliver, Charlotte, Luke, and Mia. Isabella stated, \"((Mia is a knave or Noah is a knight) or Charlotte is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1954, \"statements\": [[\"or\", [\"or\", [\"or\", [\"lying\", 8], [\"telling-truth\", 4]], [\"telling-truth\", 6]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 3], [\"telling-trut... | {"split": "train", "index": 17510} |
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: Ethan, Jacob, Grace, Zoey, Aria, Olivia, Chloe, Riley, and Sofia. \"Chloe is an egoist,\" Ethan claimed. In a statement by Jacob: \"((Grace is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1955, \"statements\": [[\"lying\", 6], [\"and\", [\"or\", [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 6], [\"telling-truth\", 0]], [\"or\", [\"lying\", 6], [\"telling-truth\", 5]]], [\"->\", [\"lying\", 3], [\"or\", [\"tel... | {"split": "train", "index": 17511} |
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: Oliver, Riley, Mason, Zoey, William, Jackson, Daniel, Evelyn, and Isabella. According to Oliver, \"Daniel is a fool or (if (William is a fool or Evelyn is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1956, \"statements\": [[\"or\", [\"lying\", 6], [\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 2]]]], [\"->\", [\"or\", [\"->\", [\"lying\", 6], [\"telling-trut... | {"split": "train", "index": 17512} |
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: Charlotte, Ella, Zoey, Aiden, Harper, Riley, Sofia, Scarlett, and Amelia. Charlotte was heard saying, \"(it is not the case that (Sofia is a fool)) and ((i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1957, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 6]]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 1], [\"lying\", 3]]], [\"... | {"split": "train", "index": 17513} |
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, Noah, Joseph, David, Logan, Owen, Penelope, Zoey, and Harper. Alexander said that Joseph is an angel if and only if ((if Joseph is a devil t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1958, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"and\", [\"->\", [\"lying\", 2], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 7], [\"lying\", 5]]]], [\"ly... | {"split": "train", "index": 17514} |
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: Daniel, Henry, Aiden, Jacob, Chloe, Grace, Logan, Sofia, and Amelia. According to Daniel, \"Logan is an angel\". Henry said that (Chloe is an angel and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1959, \"statements\": [[\"telling-truth\", 6], [\"or\", [\"and\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 0], [\"telling-truth\... | {"split": "train", "index": 17515} |
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, Charlotte, Elizabeth, Daniel, Jack, Olivia, Aria, Sofia, and Abigail. Oliver said, \"Abigail is a sinner if and only if ((Daniel is a saint i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1960, \"statements\": [[\"<=>\", [\"lying\", 8], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"telling-truth\", 8], [\"telling-truth\", 1]]], [\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 8], [\"tell... | {"split": "train", "index": 17516} |
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: Grace, Sophia, Liam, Henry, Penelope, Zoey, Samuel, Alexander, and Ethan. Grace commented, \"(if (Sophia is a sinner or Alexander is a saint) then (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1961, \"statements\": [[\"or\", [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 7]], [\"->\", [\"lying\", 7], [\"lying\", 5]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 5], [\"telling-truth\", 2]]]], [\"->\... | {"split": "train", "index": 17517} |
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, Riley, Zoey, Aurora, Aria, Lucas, Evelyn, Avery, and Jack. According to Amelia, \"((Lucas is a sage or Lucas is a fool) if and only if Jack is a fo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1962, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 5], [\"lying\", 5]], [\"lying\", 8]], [\"or\", [\"->\", [\"lying\", 7], [\"lying\", 4]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 4]]]], [\"<... | {"split": "train", "index": 17518} |
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: Victoria, Joseph, Zoey, Ella, Noah, Ava, Aiden, Charlotte, and William. In a statement by Victoria: \"(Ava is a saint and (Joseph is a saint)) and ((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1963, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 5], [\"not\", [\"lying\", 1]]], [\"or\", [\"->\", [\"telling-truth\", 7], [\"lying\", 5]], [\"and\", [\"lying\", 7], [\"lying\", 3], [\"lying\", 2]], [\"not\", [\"... | {"split": "train", "index": 17519} |
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: Victoria, Samuel, Mason, Charlotte, Lily, David, Oliver, Henry, and Sebastian. In Victoria's words: \"(if (Victoria is a sinner) then (Samuel is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1964, \"statements\": [[\"or\", [\"->\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"lying\", 1]]], [\"<=>\", [\"lying\", 2], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"lying\", 8], [\"->\", [\"telling-truth\", 3], [... | {"split": "train", "index": 17520} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Charlotte, Isabella, Emma, David, Mason, Zoey, Owen, Logan, and Chloe. \"(it is not the case that (Owen is a knave if and only if Logan is a knave)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1965, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"lying\", 6], [\"lying\", 7]]], [\"<=>\", [\"and\", [\"lying\", 7], [\"telling-truth\", 7], [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"a... | {"split": "train", "index": 17521} |
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, Jacob, Grace, Charlotte, Sophia, Avery, Samuel, and Isabella. In Daniel's words: \"it is not the case that ((Samuel is an ego... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1966, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"lying\", 7], [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"lying\", 1]]]], [\"->\", [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 5]], [\"<=>\", [\"lying\"... | {"split": "train", "index": 17522} |
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: Sofia, Michael, Luke, David, Scarlett, Jackson, Logan, Ava, and Emily. \"(Scarlett is a villain and (Emily is a hero and Luke is a hero and Scarlett ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1967, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 4], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 2], [\"lying\", 4]], [\"not\", [\"lying\", 5]]], [\"or\", [\"or\", [\"lying\", 1], [\"lying\", 5], [\"telling-tru... | {"split": "train", "index": 17523} |
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, Michael, Penelope, Grace, Emma, Zoey, Amelia, Benjamin, and Joseph. Henry remarked, \"(Joseph is a laggard) or ((Joseph is a laggard) an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1968, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 8]], [\"and\", [\"not\", [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 7]]]], [\"or\", [\"lying\", 6], [\"->\", [\"<=>\", [\"lying\", 8], [\"telling-truth\... | {"split": "train", "index": 17524} |
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: Grace, Zoey, Logan, Aria, Noah, Harper, David, Penelope, and Luke. Grace said, \"((if Grace is a saint then Noah is a saint) if and only if Aria is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1969, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"telling-truth\", 3]], [\"->\", [\"and\", [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 2]... | {"split": "train", "index": 17525} |
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: Sophia, Emily, Daniel, David, Ella, Isabella, Victoria, Benjamin, and Harper. Sophia noted, \"((if Ella is an egoist then Isabella is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1970, \"statements\": [[\"and\", [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 5]], [\"telling-truth\", 1]], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"telling-truth\", 7]], [\"telling-truth\... | {"split": "train", "index": 17526} |
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, Penelope, Lily, Alexander, David, Avery, Michael, Noah, and Matthew. \"if ((if Michael is a pioneer then Avery is a laggard) or (Penelop... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1971, \"statements\": [[\"->\", [\"or\", [\"->\", [\"telling-truth\", 6], [\"lying\", 5]], [\"or\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"->\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 3]], [\"and\", [\"lying\", 8]... | {"split": "train", "index": 17527} |
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: Ava, Scarlett, Lily, Riley, Alexander, William, Jack, Luke, and Aurora. Ava asserted: \"((Aurora is a laggard and Ava is a pioneer) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1972, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"lying\", 8], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 6]]], [\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1]]]], [\"not\", [\"or\", [\"lying\", 7]... | {"split": "train", "index": 17528} |
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, Ava, Liam, Grace, Ethan, Sebastian, Olivia, William, and Zoey. Alexander remarked, \"if Liam is an angel then ((Ethan is a devil if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1973, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 8], [\"lying\", 1], [\"lying\", 8]]]], [\"and\", [\"not\", [\"telling-truth\", ... | {"split": "train", "index": 17529} |
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: Luke, Evelyn, David, Scarlett, Ella, Daniel, Alexander, Sofia, and Owen. Luke noted, \"Scarlett is an altruist if and only if ((Evelyn is an al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1974, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 7]], [\"telling-truth\", 7], [\"not\", [\"telling-truth\", 3]]]], [\"or\", [\"or\", [\"telling-truth\", 1]... | {"split": "train", "index": 17530} |
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: Daniel, William, Aiden, Sophia, Isabella, Amelia, Abigail, Oliver, and Elizabeth. In a statement by Daniel: \"Abigail is a devil or (it is not the case... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1975, \"statements\": [[\"or\", [\"lying\", 6], [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"lying\", 7]], [\"lying\", 4], [\"<=>\", [\"lying\", 5], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"tell... | {"split": "train", "index": 17531} |
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, Mason, Ella, Aiden, Aurora, Charlotte, Sebastian, Michael, and Jackson. Sofia told you that if Aiden is a sinner then (if (if Jackson is a sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1976, \"statements\": [[\"->\", [\"lying\", 3], [\"->\", [\"->\", [\"telling-truth\", 8], [\"lying\", 1]], [\"or\", [\"telling-truth\", 7], [\"lying\", 5]]]], [\"and\", [\"and\", [\"or\", [\"lying\", 5], [\"lying\", 2]], [\"te... | {"split": "train", "index": 17532} |
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: Emily, Aiden, Alexander, Penelope, Liam, Michael, Abigail, Luke, and Charlotte. Emily asserted: \"Michael is a fool\". In a statement by Aiden: \"(if (Char... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1977, \"statements\": [[\"lying\", 5], [\"and\", [\"->\", [\"or\", [\"telling-truth\", 8], [\"lying\", 3], [\"lying\", 4]], [\"lying\", 0]], [\"or\", [\"telling-truth\", 5], [\"and\", [\"telling-truth\", 8], [\"lying\", 8], [\... | {"split": "train", "index": 17533} |
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, Samuel, Ava, Abigail, Liam, Aiden, Aurora, Charlotte, and Jackson. Jacob said, \"Jackson is a fool or (Aurora is a fool) or ((Jackson is a sage if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1978, \"statements\": [[\"or\", [\"lying\", 8], [\"not\", [\"telling-truth\", 6]], [\"and\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 6]], [\"not\", [\"lying\", 6]]]], [\"->\", [\"telling-truth\", 4], [\"<=>\", [\"telling... | {"split": "train", "index": 17534} |
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, Michael, Benjamin, Lily, Sebastian, Lucas, Samuel, Sophia, and Aurora. Sofia asserted: \"((if Michael is a fool then Lily is a fool) or (Michael is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1979, \"statements\": [[\"or\", [\"or\", [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"<=>\", [\"lying\", 1], [\"lying\", 3]]], [\"and\", [\"and\", [\"lying\", 8], [\"lying\", 4]], [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"<... | {"split": "train", "index": 17535} |
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: Grace, Oliver, Alexander, Penelope, Charlotte, Samuel, Aiden, Michael, and Noah. In Grace's words: \"((Noah is an egoist if and only if Alexand... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1980, \"statements\": [[\"and\", [\"or\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 3], [\"lying\", 5]]], [\"lying\", 2], [\"->\", [\"lying\", 5], [\"not\", [\"telling-... | {"split": "train", "index": 17536} |
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, Alexander, Zoey, Avery, Benjamin, James, Henry, Abigail, and Lily. Oliver noted, \"((Benjamin is a knave and Abigail is a knave and Oliver is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1981, \"statements\": [[\"or\", [\"and\", [\"and\", [\"lying\", 4], [\"lying\", 7], [\"telling-truth\", 0]], [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 3]]], [\"->\", [\"not\", [\"telling-truth\", 0]... | {"split": "train", "index": 17537} |
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, Harper, Ava, Jacob, Riley, Sebastian, Aurora, Penelope, and Oliver. \"((Riley is a knave if and only if Aurora is a knight) and (Ava is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1982, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 6]], [\"and\", [\"lying\", 2], [\"telling-truth\", 5], [\"lying\", 1]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 5]]], [\"not\", [\"-... | {"split": "train", "index": 17538} |
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, Elizabeth, Evelyn, Matthew, Joseph, Aurora, Sophia, Lucas, and Riley. \"Matthew is a knight,\" Ava declared. \"(it is not the case that (Joseph ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1983, \"statements\": [[\"not\", [\"lying\", 3]], [\"or\", [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 4]]], [\"or\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 7], ... | {"split": "train", "index": 17539} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Samuel, Matthew, Elizabeth, Aiden, Oliver, Aria, Zoey, Alexander, and Riley. According to Samuel, \"it is not the case that ((Zoey is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1984, \"statements\": [[\"not\", [\"and\", [\"not\", [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"telling-truth\", 8]]], [\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"tellin... | {"split": "train", "index": 17540} |
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, Aria, Ethan, Harper, Mia, Ella, William, James, and Michael. Chloe commented, \"Ethan is a devil\". \"((Ella is a devil and Ethan is an angel an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1985, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"or\", [\"and\", [\"lying\", 5], [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"or\", [\"lying\", 8], [\"lying\", 6], [\"lying\", 0]], [\"or\", [\"lyin... | {"split": "train", "index": 17541} |
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: Evelyn, Luke, Lucas, Alexander, Chloe, Emily, Daniel, Owen, and Amelia. According to Evelyn, \"it is not the case that (Evelyn is an angel or (Chloe is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1986, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 0], [\"and\", [\"lying\", 4], [\"telling-truth\", 7]], [\"->\", [\"lying\", 1], [\"telling-truth\", 3]]]], [\"not\", [\"telling-truth\", 6]], [\"and\", [\"not\", [\... | {"split": "train", "index": 17542} |
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: Jack, Sophia, Riley, Sebastian, Ava, Amelia, Emma, Penelope, and Matthew. Jack said, \"Matthew is a hero and (it is not the case that (Amelia is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1987, \"statements\": [[\"and\", [\"telling-truth\", 8], [\"not\", [\"and\", [\"lying\", 5], [\"telling-truth\", 2], [\"lying\", 4]]]], [\"or\", [\"telling-truth\", 1], [\"lying\", 7], [\"not\", [\"not\", [\"lying\", 3]]]], [\... | {"split": "train", "index": 17543} |
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: Jackson, Ethan, Mia, Alexander, Elizabeth, Amelia, Chloe, Lily, and Aiden. \"((Chloe is a villain and Mia is a villain) or (Aiden is a villain if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1988, \"statements\": [[\"or\", [\"or\", [\"and\", [\"lying\", 6], [\"lying\", 2]], [\"<=>\", [\"lying\", 8], [\"lying\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 5], [\"telling-truth\", 7]], [\"or... | {"split": "train", "index": 17544} |
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, Aurora, Grace, Riley, Ava, Ethan, Ella, Jack, and Charlotte. Harper said, \"((Ethan is a knave or Jack is a knight) or (Aurora is a knight) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1989, \"statements\": [[\"or\", [\"or\", [\"or\", [\"lying\", 5], [\"telling-truth\", 7]], [\"not\", [\"lying\", 1]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"lying\", 1]], [\"->\", [\"<=>\", [\"telling-tr... | {"split": "train", "index": 17545} |
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, Penelope, Scarlett, Ella, Joseph, Abigail, Harper, Mia, and William. Isabella said that it is not the case that ((Abigail is a knight if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1990, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"or\", [\"lying\", 5], [\"telling-truth\", 4], [\"lying\", 6]]]], [\"->\", [\"or\", [\"and\", [\"lying\", 6], [\"telling-t... | {"split": "train", "index": 17546} |
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: Ella, Liam, Aria, Alexander, Emily, Sebastian, Logan, Daniel, and Lucas. Ella said, \"Alexander is a sage.\" Liam asserted: \"it is not the case that ((Lia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1991, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 4]]]], [\"->\", [\"<=>\", [\"lying\", 8], [\"<=>\", [\... | {"split": "train", "index": 17547} |
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: William, Jacob, Noah, Zoey, Elizabeth, Oliver, Liam, Aurora, and Sophia. William expressed that Sophia is an egoist. Jacob noted, \"((Liam is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1992, \"statements\": [[\"lying\", 8], [\"or\", [\"and\", [\"or\", [\"lying\", 6], [\"telling-truth\", 4]], [\"or\", [\"lying\", 5], [\"lying\", 8]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 8]]], [\"or\",... | {"split": "train", "index": 17548} |
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, Matthew, Aurora, Alexander, Evelyn, Michael, David, Liam, and Scarlett. Ava expressed that ((Matthew is an altruist and Michael is an altr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1993, \"statements\": [[\"or\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 5]], [\"->\", [\"lying\", 7], [\"telling-truth\", 3]]], [\"and\", [\"an... | {"split": "train", "index": 17549} |
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, Grace, Sofia, Oliver, David, Elizabeth, Aria, James, and William. According to Jackson, \"William is a knight\". Grace commented, \"it is no... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1994, \"statements\": [[\"telling-truth\", 8], [\"not\", [\"or\", [\"lying\", 8], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]]], [\"->\", [\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 6]], [\"not\", [\"lying\", 8]]], [\"... | {"split": "train", "index": 17550} |
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, Amelia, Elizabeth, Chloe, Jacob, Abigail, Lily, Logan, and Zoey. Sophia was heard saying, \"if (if (if Jacob is a sage then Amelia is a sage) then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1995, \"statements\": [[\"->\", [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 6]]], [\"->\", [\"not\", [\"lying\", 6]], [\"and\", [\"telling-truth\", 3... | {"split": "train", "index": 17551} |
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: Victoria, Charlotte, Samuel, Aurora, Scarlett, Ella, Sophia, Matthew, and Grace. \"(it is not the case that (Matthew is a knave or Scarlett is a knav... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1996, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"lying\", 7], [\"lying\", 4], [\"lying\", 5]]], [\"or\", [\"->\", [\"lying\", 8], [\"telling-truth\", 4]], [\"telling-truth\", 5]]], [\"<=>\", [\"telling-truth\", 3], [\"->... | {"split": "train", "index": 17552} |
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: Jack, Riley, Noah, Mason, Chloe, Benjamin, Harper, Grace, and Aiden. Jack was heard saying, \"Grace is a fool\". Riley was heard saying, \"Aiden is a fool\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1997, \"statements\": [[\"lying\", 7], [\"lying\", 8], [\"or\", [\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 6]], [\"or\", [\"lying\", 5], [\"telling-truth\", 2], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"tellin... | {"split": "train", "index": 17553} |
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, Samuel, William, Riley, Daniel, Matthew, Michael, Benjamin, and Jackson. Aiden expressed that Benjamin is an angel. As Samuel put it, \"(it is n... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1998, \"statements\": [[\"not\", [\"lying\", 7]], [\"or\", [\"not\", [\"->\", [\"lying\", 8], [\"telling-truth\", 8]]], [\"->\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 7]], [\"and\", [\"lying\", 8], [\"telling-truth\", ... | {"split": "train", "index": 17554} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: James, Isabella, Ethan, Matthew, Ava, Aiden, Owen, Logan, and Noah. James commented, \"it is not the case that ((Ethan is a knight) if and only if Ma... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1999, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 3]]], [\"or\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 7], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 8]]]], [\"and\", [... | {"split": "train", "index": 17555} |
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, Michael, Emma, Chloe, Ethan, Alexander, Charlotte, Noah, and Olivia. Ella remarked, \"((Ethan is a saint if and only if Charlotte is a saint) i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2000, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"lying\", 6], [\"lying\", 7]]], [\"and\", [\"<=>\", ... | {"split": "train", "index": 17556} |
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, Lucas, Ella, Henry, Abigail, Grace, Samuel, Ethan, and Daniel. In Lily's words: \"Samuel is a fool\". Lucas was heard saying, \"Ella is a sage\". Ell... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2001, \"statements\": [[\"lying\", 6], [\"telling-truth\", 2], [\"and\", [\"and\", [\"telling-truth\", 4], [\"or\", [\"lying\", 8], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 8]]], [\"and\", [\"lying\", 3], [\"not\... | {"split": "train", "index": 17557} |
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: Mason, Riley, Evelyn, Sebastian, Alexander, Harper, Joseph, Olivia, and Luke. Mason said, \"if (Luke is a devil and (if Alexander is a devil then Sebas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2002, \"statements\": [[\"->\", [\"and\", [\"lying\", 8], [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 7]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]]]], [\"telling-tru... | {"split": "train", "index": 17558} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Aurora, Samuel, Ella, Sofia, Henry, Michael, Oliver, Ava, and Aria. Aurora stated, \"Aria is a sage\". Samuel noted, \"((Michael is a sage and Ella is a fo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2003, \"statements\": [[\"telling-truth\", 8], [\"and\", [\"and\", [\"and\", [\"telling-truth\", 5], [\"lying\", 2]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 5]], [\"telling-truth\", 1]], [\"not\", [\"->\", [\"telling-tr... | {"split": "train", "index": 17559} |
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, Scarlett, Liam, Ella, Sofia, Jack, Luke, Evelyn, and Joseph. Ethan stated, \"((Jack is a laggard if and only if Jack is a pioneer) and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2004, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 3]], [\"and\", [\"lying\", ... | {"split": "train", "index": 17560} |
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: Liam, Ethan, Logan, Aiden, Joseph, James, Evelyn, Noah, and Luke. Liam noted, \"it is not the case that (Joseph is a hero)\". \"if ((James is a hero)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2005, \"statements\": [[\"not\", [\"not\", [\"lying\", 4]]], [\"->\", [\"and\", [\"not\", [\"lying\", 5]], [\"and\", [\"lying\", 3], [\"lying\", 5]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 8]]], [\"and\", [\"not\... | {"split": "train", "index": 17561} |
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, Alexander, Scarlett, Grace, Evelyn, James, Michael, Charlotte, and David. Mia expressed that David is an altruist. Alexander commented, \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2006, \"statements\": [[\"telling-truth\", 8], [\"lying\", 8], [\"or\", [\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 7]], [\"not\", [\"lying\", 7]]], [\"or\", [\"not\", [\"lying\", 7]], [\"<=>\", [\"lying\", 7], [\"lying\",... | {"split": "train", "index": 17562} |
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, Evelyn, Elizabeth, James, Victoria, Abigail, Ava, Amelia, and Aria. Penelope expressed that (it is not the case that (Amelia is a devil)) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2007, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 7]]], [\"lying\", 1], [\"and\", [\"and\", [\"lying\", 1], [\"lying\", 8], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4]]]], [\... | {"split": "train", "index": 17563} |
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: Liam, Matthew, Scarlett, Lily, Samuel, Victoria, Michael, Emily, and Oliver. Liam said that (if (Lily is a fool if and only if Victoria is a fool) then Emi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2008, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 5]], [\"lying\", 7]], [\"->\", [\"and\", [\"lying\", 6], [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 2], [\"lying\", 1]... | {"split": "train", "index": 17564} |
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, Henry, James, Mason, Evelyn, Joseph, Liam, Isabella, and Matthew. Ethan said that ((if James is a hero then Mason is a hero) if and only if (M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2009, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 3], [\"lying\", 7], [\"telling-truth\", 8]]], [\"lying\", 2]], [\"<=>\", [\"and\", [\"->\", [\"... | {"split": "train", "index": 17565} |
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: Grace, Avery, Joseph, Oliver, William, Ethan, Sofia, Ella, and Jack. In a statement by Grace: \"it is not the case that (it is not the case tha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2010, \"statements\": [[\"not\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 0]]]], [\"lying\", 7], [\"lying\", 8], [\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"<=... | {"split": "train", "index": 17566} |
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: David, Chloe, Avery, Luke, Logan, Aria, Daniel, Joseph, and Amelia. \"(it is not the case that (Logan is a hero or Daniel is a villain or Chloe is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2011, \"statements\": [[\"or\", [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 6], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"->\", [\"lying\", 8], [\"telling-truth\", 7]]... | {"split": "train", "index": 17567} |
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: Benjamin, Mason, Ella, Harper, Chloe, Owen, Henry, Aria, and Penelope. Benjamin told you that it is not the case that (if (Harper is an egoist)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2012, \"statements\": [[\"not\", [\"->\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 7]]]], [\"and\", [\"or\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 5]], [\"not\", [\"tellin... | {"split": "train", "index": 17568} |
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: Samuel, Sophia, Jacob, Aiden, Charlotte, Elizabeth, Chloe, Ella, and Victoria. Samuel noted, \"Ella is a sinner or ((if Jacob is a saint then Elizabe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2013, \"statements\": [[\"or\", [\"lying\", 7], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 8]]], [\"and\", [\"or\", [\"telling-truth\", 7], [\"tell... | {"split": "train", "index": 17569} |
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: Jack, Emma, Henry, Sebastian, Noah, Ethan, Sophia, Sofia, and Michael. Jack asserted: \"((Ethan is a fool and Jack is a sage and Emma is a fool) and (Micha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2014, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"lying\", 5], [\"telling-truth\", 0], [\"lying\", 1]], [\"and\", [\"lying\", 8], [\"lying\", 3]], [\"lying\", 8]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 5... | {"split": "train", "index": 17570} |
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, Emma, Oliver, David, Ava, Aria, Jack, Lucas, and Victoria. Michael was heard saying, \"it is not the case that ((if Oliver is an egois... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2015, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"and\", [\"lying\", 1], [\"lying\", 8]]]], [\"or\", [\"telling-truth\", 1], [\"lying\", 5], [\"<=>\", [\"lying\", 5], [\"and\", [\"... | {"split": "train", "index": 17571} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Michael, Ava, Matthew, Elizabeth, Isabella, Abigail, Jacob, Aiden, and David. Michael stated, \"it is not the case that (Abigail is an angel or (Elizab... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2016, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 5], [\"and\", [\"telling-truth\", 3], [\"lying\", 5], [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]]]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 4]... | {"split": "train", "index": 17572} |
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: Lucas, Emma, Evelyn, Michael, Liam, Sebastian, Avery, Harper, and Scarlett. According to Lucas, \"if ((Sebastian is a devil and Evelyn is a devil and E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2017, \"statements\": [[\"->\", [\"or\", [\"and\", [\"lying\", 5], [\"lying\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 7]], [\"<=>\", [\"->\", [\"lying\", 5], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 1]]... | {"split": "train", "index": 17573} |
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: Mia, Emma, Lucas, Ethan, Sofia, Henry, Noah, Isabella, and Samuel. Mia commented, \"(it is not the case that (Isabella is a sinner if and only if Sof... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2018, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"telling-truth\", 6], [\"lying\", 8]], [\"->\", [\"lying\", 8], [\"telling-truth\", 7]], [\"or\", [\"telling-t... | {"split": "train", "index": 17574} |
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: David, Isabella, Penelope, Sofia, Victoria, Michael, Jacob, Matthew, and Amelia. David commented, \"((Isabella is a sage) or (if Amelia is a fool then Amel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2019, \"statements\": [[\"or\", [\"or\", [\"not\", [\"lying\", 1]], [\"->\", [\"lying\", 8], [\"telling-truth\", 8]], [\"not\", [\"lying\", 8]]], [\"or\", [\"lying\", 3], [\"<=>\", [\"lying\", 3], [\"lying\", 8]]], [\"or\", [\... | {"split": "train", "index": 17575} |
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: Harper, Alexander, Matthew, Riley, Avery, Elizabeth, Noah, Liam, and Ella. \"(Elizabeth is a devil if and only if (Avery is an angel or Ella is an ange... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2020, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 5], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 8]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 8]], [\"not\", [\"telling-truth\", 3]]]], [\"or\", [\"... | {"split": "train", "index": 17576} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Jackson, Joseph, Benjamin, Daniel, Sebastian, Isabella, Henry, Ella, and Victoria. According to Jackson, \"it is not the case that ((Isabella i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2021, \"statements\": [[\"not\", [\"or\", [\"not\", [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 3]]]], [\"or\", [\"lying\", 8], [\"or\", [\"telling-truth\", 7], [\"->\", [\"lying\", 6], [\"telling-tr... | {"split": "train", "index": 17577} |
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, Matthew, Sofia, Samuel, Ava, Sophia, Aiden, Ethan, and Amelia. Sebastian commented, \"((Amelia is a fool or Sofia is a sage or Ethan is a sage) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2022, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"lying\", 8], [\"telling-truth\", 2], [\"telling-truth\", 7]], [\"lying\", 8]], [\"or\", [\"and\", [\"lying\", 8], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 6]... | {"split": "train", "index": 17578} |
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, Amelia, Alexander, Emily, Mason, Chloe, Aria, Matthew, and Avery. Abigail told you that Chloe is an angel. In a statement by Amelia: \"if (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2023, \"statements\": [[\"telling-truth\", 5], [\"->\", [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 0], [\"lying\", 8]]], [\"->\", [\"telling-truth\", 2], [\"... | {"split": "train", "index": 17579} |
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: Sofia, Ella, Riley, Jackson, Mia, Joseph, Jack, Matthew, and Ava. Sofia expressed that if (if (Joseph is an altruist or Matthew is an egoist or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2024, \"statements\": [[\"->\", [\"->\", [\"or\", [\"telling-truth\", 5], [\"lying\", 7], [\"telling-truth\", 2]], [\"telling-truth\", 4]], [\"and\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 6]]... | {"split": "train", "index": 17580} |
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, Jackson, Elizabeth, Emma, Abigail, Matthew, Oliver, Luke, and Sebastian. According to Logan, \"Sebastian is a pioneer\". Jackson noted, ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2025, \"statements\": [[\"telling-truth\", 8], [\"->\", [\"or\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"lying\", 8], [\"lying\", 7]]], [\"telling-truth\", 6]], [\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\",... | {"split": "train", "index": 17581} |
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: Joseph, Owen, Sebastian, Amelia, Daniel, Sophia, Matthew, Aurora, and Ella. Joseph said, \"(it is not the case that (Ella is a villain)) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2026, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 8]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 8]], [\"telling-truth\", 7]]], [\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 5], [\"lying\... | {"split": "train", "index": 17582} |
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: Grace, Joseph, Zoey, Abigail, Sophia, Harper, Amelia, Aiden, and Michael. \"Amelia is an altruist,\" Grace mentioned. As Joseph put it, \"(if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2027, \"statements\": [[\"telling-truth\", 6], [\"and\", [\"->\", [\"not\", [\"telling-truth\", 6]], [\"lying\", 2]], [\"and\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 5]], [\"and\", [\"lying\", 0], [\"telling-tr... | {"split": "train", "index": 17583} |
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: Matthew, James, Isabella, Owen, Jack, Riley, Charlotte, Samuel, and Jackson. \"Owen is a hero\" - Matthew. James commented, \"it is not the case that... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2028, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"<=>\", [\"or\", [\"lying\", 5], [\"lying\", 4], [\"telling-truth\", 7]], [\"and\", [\"lying\", 3], [\"lying\", 2]]]], [\"or\", [\"not\", [\"not\", [\"lying\", 3]]], [... | {"split": "train", "index": 17584} |
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: Noah, Luke, Grace, Emma, Emily, Lily, Isabella, Aria, and Amelia. Noah told you that Lily is a fool. Luke stated, \"((Emily is a sage or Lily is a fool or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2029, \"statements\": [[\"lying\", 5], [\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 5], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-tr... | {"split": "train", "index": 17585} |
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, Ava, Amelia, Emily, Jackson, Sophia, Benjamin, Emma, and Jack. \"(if Ava is a laggard then (Ava is a pioneer and Amelia is a pioneer)) an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2030, \"statements\": [[\"and\", [\"->\", [\"lying\", 1], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"telling-truth\", 2]]], [\"not\", [\"or... | {"split": "train", "index": 17586} |
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: Sebastian, Grace, Michael, Logan, Mason, Emma, Victoria, Aria, and Aiden. Sebastian noted, \"Emma is a sinner\". Grace told you that Victoria is a si... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2031, \"statements\": [[\"lying\", 5], [\"or\", [\"lying\", 6], [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]], [\"->\", [\"lying\", 5], [\"telling-truth\", 7]]]], [\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 2... | {"split": "train", "index": 17587} |
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: William, Amelia, Riley, Ella, Jackson, Zoey, Oliver, Penelope, and Aiden. \"William is a pioneer\" - William. In Amelia's words: \"Penelope is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2032, \"statements\": [[\"telling-truth\", 0], [\"lying\", 7], [\"<=>\", [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 7], [\"telling-truth\", 2]], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 7]]], [\"and\", [\"and... | {"split": "train", "index": 17588} |
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, Jacob, Penelope, Joseph, Elizabeth, Emily, Matthew, Jack, and Henry. As Chloe put it, \"((Jacob is an angel) or (if Jack is an angel then Joseph... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2033, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"lying\", 1]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"tell... | {"split": "train", "index": 17589} |
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, James, Ella, Jacob, Matthew, Evelyn, Avery, Aria, and Grace. In Joseph's words: \"Matthew is an egoist\". James told you that ((Aria is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2034, \"statements\": [[\"lying\", 4], [\"and\", [\"or\", [\"or\", [\"lying\", 7], [\"telling-truth\", 8], [\"lying\", 3]], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"->\... | {"split": "train", "index": 17590} |
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: Oliver, Aria, Victoria, Logan, Alexander, Amelia, Matthew, Ella, and Ethan. Oliver told you that it is not the case that ((Victoria is a fool and Alexander... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2035, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 4], [\"lying\", 8]]]], [\"->\", [\"telling-truth\", 5], [\"<=>\", [\"and\", [\"telling-truth\", 5], [\"... | {"split": "train", "index": 17591} |
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, Logan, Jackson, William, Abigail, Sophia, James, Penelope, and Alexander. \"James is a hero,\" Scarlett declared. Logan said, \"((Sophia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2036, \"statements\": [[\"telling-truth\", 6], [\"and\", [\"or\", [\"not\", [\"telling-truth\", 5]], [\"not\", [\"lying\", 5]], [\"->\", [\"lying\", 5], [\"lying\", 2]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"lying\",... | {"split": "train", "index": 17592} |
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, Aria, Ava, Riley, James, Mia, Victoria, Sophia, and Aurora. Lily stated, \"Mia is a hero or (if Ava is a villain then (Ava is a hero))\". Aria ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2037, \"statements\": [[\"or\", [\"telling-truth\", 5], [\"->\", [\"lying\", 2], [\"not\", [\"lying\", 2]]]], [\"->\", [\"or\", [\"telling-truth\", 8], [\"and\", [\"lying\", 4], [\"lying\", 0], [\"telling-truth\", 1]]], [\"<=>... | {"split": "train", "index": 17593} |
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, Lucas, Jacob, Chloe, Alexander, Sophia, Scarlett, Ava, and Isabella. \"((if Jacob is an angel then Chloe is an angel) if and only if (Scarlett is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2038, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [\"lying\", 6], [\"lying\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 6]], [\"and\", [\"ly... | {"split": "train", "index": 17594} |
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: Mason, Avery, Sophia, Joseph, Sofia, Ella, Scarlett, Abigail, and Olivia. Mason commented, \"Scarlett is a devil and ((Mason is an angel if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2039, \"statements\": [[\"and\", [\"lying\", 6], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 6], [\"lying\", 1]]]], [\"or\", [\"or\", [\"telling-truth\", 5], [\"or\", [\"tel... | {"split": "train", "index": 17595} |
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: Avery, Sofia, Sophia, Owen, Liam, Aurora, Olivia, Logan, and Noah. \"if ((Noah is a hero) if and only if (Olivia is a hero if and only if Avery is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2040, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 0]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 8]], [\"and\", [\"telling-truth\", 5], [\"lying\"... | {"split": "train", "index": 17596} |
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: Henry, Penelope, Isabella, Emma, Sebastian, Harper, Ella, William, and Jackson. \"it is not the case that (if (Henry is an angel if and only if Sebasti... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2041, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"and\", [\"lying\", 8], [\"telling-truth\", 7], [\"telling-truth\", 3]]]], [\"->\", [\"<=>\", [\"->\", [\"telling-truth\", ... | {"split": "train", "index": 17597} |
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: Mason, Jacob, Emma, Liam, Sebastian, Mia, Olivia, Jack, and Isabella. \"it is not the case that ((Sebastian is an angel and Mason is an angel) or (if J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2042, \"statements\": [[\"not\", [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"->\", [\"lying\", 7], [\"lying\", 5]]]], [\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 7], [\"lying\", 7]], [\"and\", [\... | {"split": "train", "index": 17598} |
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: Joseph, Victoria, Luke, Benjamin, Michael, Ella, Ethan, Emily, and Evelyn. \"it is not the case that (if (Ella is a hero) then (Luke is a hero if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2043, \"statements\": [[\"not\", [\"->\", [\"not\", [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 8]]]], [\"not\", [\"not\", [\"lying\", 5]]], [\"->\", [\"not\", [\"<=>\", [\"lying\", 8], [\"telling-tr... | {"split": "train", "index": 17599} |
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