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: Jackson, Abigail, Isabella, Sofia, Penelope, Victoria, Mia, James, and Lily. According to Jackson, \"if ((Mia is a fool and Jackson is a sage and Lily is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 222, \"statements\": [[\"->\", [\"or\", [\"and\", [\"lying\", 6], [\"telling-truth\", 0], [\"telling-truth\", 8], [\"lying\", 7]], [\"->\", [\"lying\", 5], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\... | {"split": "train", "index": 18000} |
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, Daniel, Grace, Matthew, Sofia, Elizabeth, Aurora, Lily, and Scarlett. Jackson remarked, \"((Aurora is a villain) if and only if Lily is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 223, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 6]], [\"telling-truth\", 7]], [\"and\", [\"not\", [\"lying\", 8]], [\"or\", [\"telling-truth\", 8], [\"lying\", 6], [\"telling-truth\", 1], [\"telling-tru... | {"split": "train", "index": 18001} |
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, Jacob, Henry, Lily, Owen, Jack, Ethan, Abigail, and Mia. Emily said, \"(Henry is a sinner and Lily is a sinner) or (if (if Mia is a saint then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 224, \"statements\": [[\"or\", [\"and\", [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 0]], [\"or\", [\"lying\", 7], [\"telling-truth\", 6], [\"lying\", 2], [\"lying\", 5]]], [\... | {"split": "train", "index": 18002} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Avery, Aiden, Elizabeth, Samuel, Luke, Owen, Isabella, Zoey, and Ava. Avery was heard saying, \"if ((if Elizabeth is a laggard then Aiden is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 225, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 1]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"lying\", 5], [\"telling-truth\", 8], [\"telling-truth\", 0]]]], [\"->... | {"split": "train", "index": 18003} |
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: Luke, Logan, Ava, Henry, Ethan, Benjamin, Penelope, Amelia, and Jackson. Luke said, \"((Benjamin is a fool or Benjamin is a sage or Logan is a fool) or (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 226, \"statements\": [[\"or\", [\"or\", [\"or\", [\"lying\", 5], [\"telling-truth\", 5], [\"lying\", 1]], [\"->\", [\"lying\", 6], [\"lying\", 5]]], [\"telling-truth\", 5]], [\"or\", [\"not\", [\"or\", [\"telling-truth\", 8], ... | {"split": "train", "index": 18004} |
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: Lucas, Evelyn, Samuel, Scarlett, Benjamin, Ella, Henry, William, and Mia. Lucas said, \"if Henry is a knave then ((Evelyn is a knave) if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 227, \"statements\": [[\"->\", [\"lying\", 6], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 1]]]], [\"telling-truth\", 8], [\"<=>\", [\"lying\", 6], [\"lying\", 5]],... | {"split": "train", "index": 18005} |
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: Riley, Noah, Owen, Harper, Amelia, Lily, Ethan, Emma, and Logan. According to Riley, \"((Harper is a sage) and Riley is a sage) and ((Owen is a sage) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 228, \"statements\": [[\"and\", [\"and\", [\"not\", [\"lying\", 3]], [\"telling-truth\", 0]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"and\", [\"lying\", 2], [\"lying\", 1], [\"lying\", 3], [\"lying\", 4]]], [\"not\", [\"->\", ... | {"split": "train", "index": 18006} |
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: Grace, Lily, Olivia, Samuel, Zoey, Abigail, Charlotte, Amelia, and Aria. According to Grace, \"Olivia is a knave if and only if (it is not the case t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 229, \"statements\": [[\"<=>\", [\"lying\", 2], [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 7], [\"telling-truth\", 3], [\"lying\", 7]]]], [\"<=>\", [\"lying\", 4], [\"->\", [\"not\", [\"telling-truth\", 6]]... | {"split": "train", "index": 18007} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: James, Isabella, Joseph, Aurora, Emily, Emma, Lily, Liam, and Harper. \"it is not the case that (it is not the case that (Isabella is a sinner or Emm... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 230, \"statements\": [[\"not\", [\"not\", [\"or\", [\"lying\", 1], [\"lying\", 5]]]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"... | {"split": "train", "index": 18008} |
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: David, Sophia, Avery, Evelyn, Jacob, Lucas, Sofia, Michael, and Aurora. In a statement by David: \"if ((Aurora is a knave if and only if Sofia is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 231, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 6]], [\"->\", [\"lying\", 8], [\"telling-truth\", 5]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 7]], [\"telling-truth\", 6]]], [\"an... | {"split": "train", "index": 18009} |
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, Luke, Joseph, Jackson, Evelyn, Aurora, Lucas, Isabella, and Harper. Liam asserted: \"((if Isabella is a hero then Harper is a hero) and (Lucas ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 232, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"not\", [\"lying\", 6]], [\"not\", [\"telling-truth\", 8]]], [\"not\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", ... | {"split": "train", "index": 18010} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Lucas, Charlotte, Sophia, James, Aurora, Ava, Abigail, Matthew, and Jacob. Lucas told you that ((if Matthew is a sage then James is a fool) and (Ava is a f... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 233, \"statements\": [[\"or\", [\"and\", [\"->\", [\"telling-truth\", 7], [\"lying\", 3]], [\"and\", [\"lying\", 5], [\"telling-truth\", 2]], [\"not\", [\"lying\", 6]]], [\"<=>\", [\"not\", [\"lying\", 1]], [\"not\", [\"tellin... | {"split": "train", "index": 18011} |
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, Chloe, Liam, Evelyn, Riley, Aurora, Abigail, Ava, and Logan. Sophia said, \"(if (Riley is a sage or Ava is a sage or Logan is a fool) then (Logan i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 234, \"statements\": [[\"and\", [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 7], [\"lying\", 8]], [\"and\", [\"telling-truth\", 8], [\"lying\", 2], [\"telling-truth\", 7], [\"lying\", 5]]], [\"telling-truth\",... | {"split": "train", "index": 18012} |
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: Lucas, Abigail, Charlotte, Alexander, Avery, Zoey, Emma, Jacob, and Aria. Lucas expressed that (if (Charlotte is a hero and Aria is a villain and Zoe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 235, \"statements\": [[\"or\", [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 8], [\"lying\", 5], [\"lying\", 6]], [\"and\", [\"telling-truth\", 5], [\"lying\", 1], [\"lying\", 2], [\"lying\", 5]]], [\"telling-truth\",... | {"split": "train", "index": 18013} |
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: Noah, Henry, James, Emily, Riley, Ella, Alexander, Benjamin, and Joseph. Noah said, \"it is not the case that (Riley is a knave or (Joseph is a knave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 236, \"statements\": [[\"not\", [\"or\", [\"lying\", 4], [\"or\", [\"lying\", 8], [\"telling-truth\", 7], [\"telling-truth\", 6], [\"lying\", 4]]]], [\"not\", [\"->\", [\"not\", [\"lying\", 8]], [\"not\", [\"telling-truth\", 5... | {"split": "train", "index": 18014} |
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, Samuel, Aiden, Ava, Mia, Jackson, Ella, Scarlett, and Aurora. James expressed that if ((Ava is a knave and Aiden is a knight and Aurora is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 237, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 8]], [\"not\", [\"lying\", 7]]], [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"->\", [\"lying\", 8], [\"lyi... | {"split": "train", "index": 18015} |
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, Liam, Alexander, Sophia, Michael, Lucas, Avery, Jacob, and Jackson. Aria asserted: \"if (if (Avery is a knave if and only if Lucas is a knave) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 238, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"lying\", 6], [\"lying\", 5]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"lying\", 8], [\"telling-truth\", 0], [\"lying\", 7]], [\"or\"... | {"split": "train", "index": 18016} |
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, Benjamin, Scarlett, Mason, Logan, Mia, Evelyn, Aurora, and Daniel. Charlotte stated, \"it is not the case that (it is not the case that (D... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 239, \"statements\": [[\"not\", [\"not\", [\"or\", [\"telling-truth\", 8], [\"lying\", 7]]]], [\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 7]], [\"or\", [\"lying\", 7], [\"lying\", 2], [\"lying\", 3]], [\"lying\", 3]], [\... | {"split": "train", "index": 18017} |
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: Evelyn, Sofia, Jackson, James, Aria, Ethan, Mia, Chloe, and Scarlett. Evelyn stated, \"((if James is a villain then Aria is a villain) or (Scarlett i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 240, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"lying\", 8], [\"telling-truth\", 7], [\"lying\", 3]]], [\"telling-truth\", 5]], [\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 4]... | {"split": "train", "index": 18018} |
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: Emily, Logan, Luke, Amelia, Liam, Victoria, David, Joseph, and Mason. In a statement by Emily: \"((Logan is a hero or Amelia is a villain) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 241, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"lying\", 5], [\"lying\", 2], [\"lying\", 7]]], [\"lying\", 3], [\"and\", [\"not\", [\"lying\", 5]], [\"telling-truth\", 5]... | {"split": "train", "index": 18019} |
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, Jack, Owen, Zoey, Daniel, Mia, Matthew, Abigail, and Charlotte. William remarked, \"(William is an angel or (William is an angel or Abigail is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 242, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 7], [\"lying\", 7]], [\"not\", [\"lying\", 4]]], [\"not\", [\"lying\", 4]]], [\"not\", [\"and\", [\"->\", [\... | {"split": "train", "index": 18020} |
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, James, Noah, Lucas, Aurora, Owen, Evelyn, Grace, and Matthew. Jacob asserted: \"Noah is a sage\". James remarked, \"Evelyn is a fool\". Noah said, \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 243, \"statements\": [[\"telling-truth\", 2], [\"lying\", 6], [\"not\", [\"and\", [\"and\", [\"telling-truth\", 6], [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"lying\",... | {"split": "train", "index": 18021} |
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, Lucas, Matthew, Grace, Aiden, David, Ethan, Charlotte, and Joseph. \"(if (Joseph is a devil or Grace is an angel or Ethan is a devil) then (Jos... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 244, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"lying\", 8], [\"telling-truth\", 3], [\"lying\", 6]], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 4], [\"lying\", 1], [\"lying\", 2]]], [\"or\", [\"and\", [\"tellin... | {"split": "train", "index": 18022} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Henry, Noah, Ella, Amelia, William, James, Evelyn, David, and Daniel. As Henry put it, \"Amelia is a sage\". Noah stated, \"James is a sage if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 245, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 5], [\"<=>\", [\"->\", [\"telling-truth\", 7], [\"lying\", 6]], [\"or\", [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 0]]]], [\"lying\"... | {"split": "train", "index": 18023} |
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, Mia, Penelope, James, Riley, Daniel, Elizabeth, Matthew, and Avery. \"((Riley is a devil or Matthew is a devil or Penelope is an angel) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 246, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 7], [\"telling-truth\", 2]], [\"and\", [\"lying\", 5], [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 6]]], [\"not\", [\"or\", ... | {"split": "train", "index": 18024} |
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, Ethan, Matthew, Jackson, Aurora, David, Elizabeth, Henry, and William. Emily told you that it is not the case that ((Jackson is a saint if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 247, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 5]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 8]], [\"<=>\", [\"telling-tr... | {"split": "train", "index": 18025} |
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: Scarlett, William, Elizabeth, Jack, Evelyn, Avery, Charlotte, Riley, and Michael. \"it is not the case that ((Jack is a sage or Charlotte is a sage or Will... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 248, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 6], [\"lying\", 1]], [\"or\", [\"telling-truth\", 3], [\"lying\", 5], [\"lying\", 1], [\"lying\", 4]]]], [\"not\", [\"or\", [\"and\... | {"split": "train", "index": 18026} |
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, Daniel, Henry, David, Owen, Abigail, Grace, Samuel, and Matthew. Sophia told you that (if (if David is a hero then Owen is a villain) then (A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 249, \"statements\": [[\"or\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"lying\", 5], [\"telling-truth\", 6], [\"lying\", 4]]], [\"lying\", 3], [\"or\", [\"lying\", 5], [\"<=>\", [\"lying\", 4], [... | {"split": "train", "index": 18027} |
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, Emily, Aria, Ava, Mason, Henry, Jacob, James, and Oliver. \"if (if (Ava is an angel and Jacob is an angel) then (Emily is a devil if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 250, \"statements\": [[\"->\", [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 1], [\"lying\", 7]]], [\"<=>\", [\"not\", [\"lying\", 1]], [\"or\", [\"telling-truth\", 6], [\"lying\", 6... | {"split": "train", "index": 18028} |
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, Sebastian, Sofia, Owen, Alexander, Scarlett, Benjamin, Aria, and Isabella. Daniel noted, \"if (Sofia is a fool if and only if Scarlett is a sage) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 251, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 5]], [\"and\", [\"and\", [\"telling-truth\", 5], [\"lying\", 2], [\"lying\", 5], [\"lying\", 1]], [\"or\", [\"telling-truth\", 0], [\"lying\", 7]], [... | {"split": "train", "index": 18029} |
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, Mason, Harper, Liam, Luke, Sebastian, Isabella, Matthew, and Aria. Victoria told you that it is not the case that (if (Victoria is a villai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 252, \"statements\": [[\"not\", [\"->\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 7], [\"telling-truth\", 1]]]], [\"and\", [\"and\", [\"not\", [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 1], [\"lying\"... | {"split": "train", "index": 18030} |
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: Olivia, Isabella, Aria, Oliver, Emily, Alexander, Abigail, Lucas, and Ava. Olivia expressed that ((Emily is an egoist and Isabella is an egoist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 253, \"statements\": [[\"or\", [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 5], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"and\", [\"lying\", 3], [\"lying\", 5], [\"telling... | {"split": "train", "index": 18031} |
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, David, Owen, Aurora, Avery, Zoey, Logan, Amelia, and Ella. Sofia was heard saying, \"Aurora is a sinner\". David said, \"((Logan is a saint if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 254, \"statements\": [[\"lying\", 3], [\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 7]]], [\"or\", [\"or\", [\"lying\", 6], [\"telling-truth\... | {"split": "train", "index": 18032} |
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, Oliver, Jackson, Sophia, Avery, Luke, Grace, Jack, and Chloe. Sebastian said that if (if Grace is a sinner then (Avery is a saint or Sophi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 255, \"statements\": [[\"->\", [\"->\", [\"lying\", 6], [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 5], [\"telling-truth\", 8]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 6], [\"... | {"split": "train", "index": 18033} |
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: Evelyn, Zoey, Grace, Logan, Jackson, Mia, Sofia, Benjamin, and Ella. Evelyn told you that if ((if Zoey is a sage then Grace is a sage) if and only if (Ella... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 256, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"not\", [\"lying\", 8]]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 6], [\"tellin... | {"split": "train", "index": 18034} |
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, Ella, Liam, Charlotte, Noah, William, Sebastian, Emma, and Henry. Evelyn expressed that Ella is an egoist if and only if ((Liam is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 257, \"statements\": [[\"<=>\", [\"lying\", 1], [\"<=>\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 8]]], [\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 8]], [\"telling-truth\", 4]], [\"and\", [\"and\", ... | {"split": "train", "index": 18035} |
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, Aurora, Aria, Grace, Mason, Charlotte, Sophia, Evelyn, and Jack. Elizabeth remarked, \"it is not the case that ((Charlotte is an ego... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 258, \"statements\": [[\"not\", [\"or\", [\"or\", [\"lying\", 5], [\"lying\", 2], [\"telling-truth\", 6], [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 5]]]], [\"->\", [\"and\", [\"lying\", 7], [\"not\", [\"lying\", 3... | {"split": "train", "index": 18036} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Abigail, Victoria, Penelope, Emily, James, Joseph, Aiden, Scarlett, and Aurora. Abigail commented, \"((Victoria is a villain and Aurora is a villain ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 259, \"statements\": [[\"and\", [\"or\", [\"and\", [\"lying\", 1], [\"lying\", 8], [\"telling-truth\", 4]], [\"->\", [\"lying\", 5], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"lying\", 4]]], [\"->\", [\"<=>\", [\"lying\", 8]... | {"split": "train", "index": 18037} |
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: Charlotte, Emma, Aurora, Amelia, Matthew, Avery, Abigail, James, and Noah. Charlotte told you that Amelia is a pioneer. Emma remarked, \"(Auror... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 260, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"or\", [\"lying\", 2], [\"not\", [\"lying\", 7]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 5]], [\"->\", [\"telling-truth\", 8], [\"lying\", 8]]], [\"tell... | {"split": "train", "index": 18038} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Harper, Owen, Amelia, Logan, Sophia, Avery, Emily, Zoey, and Lily. According to Harper, \"(it is not the case that (Lily is a fool if and only if Logan is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 261, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"lying\", 8], [\"lying\", 3]]], [\"lying\", 1], [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"lying\", 7]], [\"or\... | {"split": "train", "index": 18039} |
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, Noah, Mason, Aiden, Jack, Aria, Jacob, Mia, and Emily. Ava commented, \"Jacob is a fool\". Noah said, \"((Mason is a sage and Noah is a sage and Mason... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 262, \"statements\": [[\"lying\", 6], [\"<=>\", [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"lying\",... | {"split": "train", "index": 18040} |
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: James, Owen, Aiden, Ella, Sebastian, Aurora, Avery, Olivia, and William. James asserted: \"it is not the case that ((if Aurora is a hero then Sebasti... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 263, \"statements\": [[\"not\", [\"and\", [\"->\", [\"telling-truth\", 5], [\"lying\", 4]], [\"not\", [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"lying\", 8]]]... | {"split": "train", "index": 18041} |
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, Ava, Zoey, William, Olivia, Logan, Sophia, Benjamin, and Alexander. \"Zoey is a knight,\" Scarlett mentioned. \"((Zoey is a knave) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 264, \"statements\": [[\"not\", [\"lying\", 2]], [\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"lying\", 0]]], [\"telling-truth\", 5], [\"or\", [\"lying\", 8], [\"->\", [\"telling-truth\", 0... | {"split": "train", "index": 18042} |
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, Ethan, David, Avery, Zoey, Grace, Owen, William, and Victoria. In Henry's words: \"Grace is a laggard\". \"Victoria is a pioneer,\" Etha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 265, \"statements\": [[\"lying\", 5], [\"telling-truth\", 8], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"or\", [\"lying\", 0], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 1], [\"... | {"split": "train", "index": 18043} |
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: Victoria, Aria, Lily, Avery, Amelia, Joseph, Chloe, Charlotte, and Olivia. Victoria noted, \"it is not the case that (if Avery is an angel then (if Ari... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 266, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]]], [\"telling-truth\", 5], [\"<=>\", [\"not\", [\"lying\", 8]], [\"<=>\", [\"or\", [\"telling-truth\", 0... | {"split": "train", "index": 18044} |
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: Aria, David, Lucas, Aiden, Harper, Ethan, Sofia, Sophia, and Ava. Aria noted, \"if (if Aiden is an altruist then (if Ava is an altruist then So... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 267, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 8], [\"lying\", 6]]], [\"or\", [\"and\", [\"lying\", 6], [\"telling-truth\", 5]], [\"not\", [\"lying\", 3]], [\"not\", [\"telling-tru... | {"split": "train", "index": 18045} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Jack, Noah, Olivia, Harper, Avery, Matthew, Evelyn, Abigail, and Elizabeth. As Jack put it, \"Olivia is an altruist\". In Noah's words: \"Olivi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 268, \"statements\": [[\"telling-truth\", 2], [\"telling-truth\", 2], [\"or\", [\"and\", [\"or\", [\"lying\", 1], [\"lying\", 5], [\"lying\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"telling-truth\", 6... | {"split": "train", "index": 18046} |
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, Jacob, Lily, William, Chloe, Avery, Emily, Amelia, and Ava. In a statement by Abigail: \"(it is not the case that (Lily is a saint and Jacob... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 269, \"statements\": [[\"and\", [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"telling-truth\", 8], [\"not\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 7]]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"t... | {"split": "train", "index": 18047} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Victoria, Elizabeth, Aurora, Luke, Jacob, Ethan, Michael, Jack, and David. Victoria told you that (if (if Michael is an egoist then Ethan is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 270, \"statements\": [[\"and\", [\"->\", [\"->\", [\"lying\", 6], [\"lying\", 5]], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 7]]], [\"or\", [\"and\", [\"telling-truth\", 7], [... | {"split": "train", "index": 18048} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Logan, Abigail, Grace, Aiden, Evelyn, Ethan, Mia, Daniel, and Michael. Logan expressed that if ((Mia is a sage if and only if Evelyn is a sage) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 271, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"lying\", 8], [\"lying\", 3]]]], [\"telling-truth\", 3], [\"not\", [\... | {"split": "train", "index": 18049} |
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: Grace, Logan, Ava, Aiden, David, Aria, Avery, Charlotte, and Ella. As Grace put it, \"it is not the case that (if (Aria is a knave or Charlotte is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 272, \"statements\": [[\"not\", [\"->\", [\"or\", [\"lying\", 5], [\"lying\", 7], [\"lying\", 1], [\"lying\", 2]], [\"not\", [\"lying\", 2]]]], [\"->\", [\"lying\", 0], [\"<=>\", [\"lying\", 0], [\"->\", [\"lying\", 2], [\"lyi... | {"split": "train", "index": 18050} |
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, Zoey, Victoria, Aiden, Sebastian, Owen, Scarlett, Matthew, and Daniel. As Emily put it, \"Zoey is a fool\". As Zoey put it, \"Owen is a sage\". In a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 273, \"statements\": [[\"lying\", 1], [\"telling-truth\", 5], [\"telling-truth\", 3], [\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 3], [\"lying\", 6], [\"lying\", 5]], [\"<=>\", [\"lying\", 5], [\"... | {"split": "train", "index": 18051} |
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: Lucas, James, William, Grace, Avery, Ava, Sofia, Samuel, and Owen. Lucas was heard saying, \"(it is not the case that (Ava is a hero or Ava is a vill... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 274, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 5], [\"lying\", 5], [\"lying\", 3], [\"lying\", 4]]], [\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 1], [\"tell... | {"split": "train", "index": 18052} |
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: Emma, Oliver, Olivia, Sebastian, Lucas, Lily, Logan, Charlotte, and Emily. Emma stated, \"(if (Lucas is a knight or Oliver is a knave) then (if Lily ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 275, \"statements\": [[\"or\", [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 8]]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"->\", [\"tell... | {"split": "train", "index": 18053} |
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, William, Victoria, Evelyn, Olivia, Aiden, Scarlett, Sophia, and Benjamin. Amelia remarked, \"(it is not the case that (Scarlett is an e... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 276, \"statements\": [[\"or\", [\"not\", [\"not\", [\"telling-truth\", 6]]], [\"or\", [\"telling-truth\", 6], [\"and\", [\"lying\", 7], [\"lying\", 4], [\"lying\", 8]], [\"telling-truth\", 8]], [\"->\", [\"not\", [\"lying\", 4... | {"split": "train", "index": 18054} |
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: Alexander, Amelia, Sophia, Scarlett, Ava, Riley, Aurora, Joseph, and Aiden. \"if (if (Alexander is a villain) then Riley is a villain) then ((if Scar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 277, \"statements\": [[\"->\", [\"->\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 5]], [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 1]]]], [\"<=... | {"split": "train", "index": 18055} |
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: Liam, Daniel, Ava, Emily, Jacob, Owen, Sebastian, Elizabeth, and Benjamin. Liam noted, \"if (if (Benjamin is an altruist and Sebastian is an eg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 278, \"statements\": [[\"->\", [\"->\", [\"and\", [\"telling-truth\", 8], [\"lying\", 6]], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 2]], [\"telling-truth\... | {"split": "train", "index": 18056} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Victoria, Jacob, Lily, Evelyn, Michael, Liam, Owen, Riley, and Logan. Victoria commented, \"((Jacob is an egoist if and only if Lily is an egoi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 279, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"not\", [\"lying\", 1]], [\"and\", [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 7]]], [\"a... | {"split": "train", "index": 18057} |
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, Jackson, Isabella, Olivia, Lucas, Elizabeth, Sofia, Amelia, and Michael. Ella said that Elizabeth is a villain. Jackson asserted: \"((Ella is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 280, \"statements\": [[\"lying\", 5], [\"and\", [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"telling-truth\", 6], [\"lying\", 4]]], [\"and\",... | {"split": "train", "index": 18058} |
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, Aria, Joseph, Grace, Michael, Penelope, Evelyn, Isabella, and Aurora. Owen said, \"(it is not the case that (Evelyn is a sinner if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 281, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 5]]], [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 6]]]], [\"->\", [\"<=>\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-tru... | {"split": "train", "index": 18059} |
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: Luke, Logan, Elizabeth, Benjamin, Jacob, Alexander, James, Emily, and Isabella. In a statement by Luke: \"it is not the case that (if Luke is an angel ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 282, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 0], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 8]]]], [\"or\", [\"or\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 7]], [\"telling-truth\", 4]], [\"<=>\", [\"-... | {"split": "train", "index": 18060} |
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, Elizabeth, Ava, Henry, Avery, Abigail, Luke, Jacob, and Isabella. Jackson said, \"(Jacob is a knave and (Avery is a knave or Isabella is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 283, \"statements\": [[\"or\", [\"and\", [\"lying\", 7], [\"or\", [\"lying\", 4], [\"lying\", 8]]], [\"<=>\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 6]], [\"not\", [\"lying\", 7]]], [\"->\", [\"lying\", 4], [\"<=... | {"split": "train", "index": 18061} |
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: Joseph, Mason, Sofia, Penelope, Aurora, Sebastian, Jacob, Jack, and Benjamin. In a statement by Joseph: \"it is not the case that (if (Sofia is a sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 284, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 7]], [\"->\", [\"lying\", 5], [\"telling-truth\", 7]]]], [\"<=>\", [\"<=>\", [\"and\", [\"lying\", 0], [\"telling-truth\", 5], [\"lying\", ... | {"split": "train", "index": 18062} |
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, James, Lily, Sebastian, Noah, Benjamin, Aurora, Joseph, and Penelope. Liam said, \"((Joseph is a sage and James is a sage and James is a fool and Aur... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 285, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 1], [\"lying\", 1], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 4],... | {"split": "train", "index": 18063} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Chloe, Jackson, Michael, Olivia, Sebastian, Evelyn, David, Matthew, and Isabella. Chloe expressed that (Jackson is an altruist) or ((if Isabell... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 286, \"statements\": [[\"or\", [\"not\", [\"lying\", 1]], [\"and\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"telling-truth\", 8], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"telling-truth\"... | {"split": "train", "index": 18064} |
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, Emma, Victoria, Benjamin, Samuel, Ava, Penelope, and Mia. Daniel said that if (Victoria is an egoist and (if Samuel is an alt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 287, \"statements\": [[\"->\", [\"and\", [\"lying\", 3], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 5]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"and\... | {"split": "train", "index": 18065} |
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: Samuel, Oliver, Henry, Sebastian, Mia, Matthew, Emily, Ethan, and Evelyn. Samuel remarked, \"((if Sebastian is a sage then Evelyn is a fool) and (Matthew i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 288, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 8]], [\"and\", [\"lying\", 5], [\"telling-truth\", 7]], [\"or\", [\"lying\", 8], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0],... | {"split": "train", "index": 18066} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: David, Olivia, Scarlett, Avery, Jackson, Sophia, Ethan, Daniel, and Owen. David noted, \"it is not the case that ((Owen is an egoist) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 289, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"->\", [\"lying\", 3], [\"lying\", 4]]]], [\"<=>\", [\"->\", [\"->\", [\"lying\", 5], [\"lying\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling... | {"split": "train", "index": 18067} |
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: Alexander, Aiden, Lucas, Benjamin, Sebastian, Liam, Zoey, Elizabeth, and Jackson. Alexander noted, \"(it is not the case that (Sebastian is a sage)) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 290, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"lying\", 4]]], [\"or\", [\"and\", [\"lying\", 5], [\"lying\", 6]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 5]], [\"lying\", 5], [\"or\", [\"telling-truth\", 6... | {"split": "train", "index": 18068} |
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: Penelope, Samuel, Daniel, Oliver, Avery, Aurora, Harper, Mia, and Sofia. Penelope remarked, \"if Sofia is a sage then Daniel is a sage\". Samuel expressed ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 291, \"statements\": [[\"->\", [\"telling-truth\", 8], [\"telling-truth\", 2]], [\"->\", [\"<=>\", [\"lying\", 5], [\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 8], [\"telling-truth\", 0]]], [\"or\", [\... | {"split": "train", "index": 18069} |
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, Jacob, Samuel, Ethan, Grace, Harper, Noah, Daniel, and Riley. Ava said, \"it is not the case that ((Grace is a devil and Harper is a devil and Sam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 292, \"statements\": [[\"not\", [\"and\", [\"and\", [\"lying\", 4], [\"lying\", 5], [\"lying\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]]]], [\"lying\", 7], [\"or\", [\"lying\", 8], [\"not\", [\"<=>\", [\"... | {"split": "train", "index": 18070} |
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, Penelope, Liam, Chloe, Evelyn, Sebastian, Aurora, Mason, and Owen. Ava commented, \"(it is not the case that (Evelyn is an altruist if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 293, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 6]]], [\"->\", [\"lying\", 8], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 6]]], [\"->\", [\"and\", [\"telling-truth\", 6], [\"telling-tr... | {"split": "train", "index": 18071} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Jacob, Ava, Aiden, Zoey, Amelia, Logan, Olivia, Benjamin, and Jackson. Jacob stated, \"if (it is not the case that (Ava is a devil or Amelia is an ange... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 294, \"statements\": [[\"->\", [\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"lying\", 7], [\"lying\", 4]], [\"or\", [\"lying\", 6], [\"lyi... | {"split": "train", "index": 18072} |
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, Avery, Sophia, Aiden, Michael, Aurora, Amelia, Grace, and William. \"(it is not the case that (Aiden is an altruist and William is an alt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 295, \"statements\": [[\"and\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 8]]], [\"and\", [\"or\", [\"lying\", 7], [\"telling-truth\", 0], [\"lying\", 3]], [\"and\", [\"telling-truth\", 6], [\"lying\", 2]... | {"split": "train", "index": 18073} |
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, Matthew, Avery, Charlotte, Aurora, Abigail, Evelyn, William, and Scarlett. Logan said that if William is a hero then (Logan is a hero or (if A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 296, \"statements\": [[\"->\", [\"telling-truth\", 7], [\"or\", [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 8]], [\"telling-truth\", 3], [\"or\", [\"lying\", 3], [\"lying\", 7]]]], [\"telling-t... | {"split": "train", "index": 18074} |
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, Abigail, Aiden, Olivia, Avery, Penelope, William, Lucas, and Isabella. According to Logan, \"Avery is a villain\". \"(if (if Olivia is a hero ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 297, \"statements\": [[\"lying\", 4], [\"and\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 5], [\"lying\", 2]]], [\"->\", [\"or\", [\"lying\", 8], [\"lying\", 0], [\"lying\"... | {"split": "train", "index": 18075} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Lily, Olivia, Grace, Harper, Oliver, Henry, Sofia, William, and Logan. In Lily's words: \"Olivia is a saint\". In Olivia's words: \"Harper is a saint... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 298, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 3], [\"or\", [\"lying\", 0], [\"and\", [\"telling-truth\", 2], [\"lying\", 6], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", ... | {"split": "train", "index": 18076} |
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, Sophia, Jacob, Jack, Noah, Samuel, Ethan, Daniel, and Emma. \"((Ethan is a hero or Samuel is a hero or Isabella is a hero or Daniel is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 299, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 5], [\"telling-truth\", 0], [\"lying\", 7]], [\"lying\", 3], [\"not\", [\"lying\", 7]]], [\"<=>\", [\"not\", [\"lying\", 8]], [\"->\... | {"split": "train", "index": 18077} |
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, Riley, Elizabeth, Ethan, Luke, Jack, Ava, Jacob, and Alexander. Avery asserted: \"if (it is not the case that (if Ava is a hero then Elizabeth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 300, \"statements\": [[\"->\", [\"not\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 7]], [\"or\", [\"lying\", 8], [\"telling-truth\", 7]]]], [\"or\... | {"split": "train", "index": 18078} |
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, Avery, Victoria, Charlotte, Jack, Noah, Sebastian, David, and Liam. In Harper's words: \"(David is an altruist if and only if (Avery is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 301, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 7], [\"or\", [\"lying\", 1], [\"telling-truth\", 5], [\"telling-truth\", 7], [\"telling-truth\", 6]]], [\"or\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"not\", ... | {"split": "train", "index": 18079} |
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, Samuel, Mia, Zoey, Ella, Chloe, Penelope, Owen, and Henry. \"(Ella is a saint and (Penelope is a sinner and Samuel is a saint and Ella is a si... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 302, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 4], [\"and\", [\"lying\", 6], [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 8]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"and\", [\"tel... | {"split": "train", "index": 18080} |
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: Luke, Avery, Liam, David, Sofia, Victoria, Ava, Sebastian, and Emma. Luke expressed that Avery is an angel. In Avery's words: \"((Emma is an angel and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 303, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"or\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 8]], [\"lying\", 7]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"or\",... | {"split": "train", "index": 18081} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Joseph, Olivia, William, Harper, Emma, Logan, Ethan, Scarlett, and Liam. \"if (it is not the case that (Joseph is a pioneer if and only if Will... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 304, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"<=>\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 1]]]], [\"->\", [\"and\", [\"and\", [\"lying\", 5], [\"lying\", 0]], ... | {"split": "train", "index": 18082} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Jackson, William, Aria, Riley, Aurora, Daniel, Jacob, Emily, and Michael. \"if Aria is an angel then (if (Jacob is a devil or Emily is a devil or Danie... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 305, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"->\", [\"or\", [\"lying\", 6], [\"lying\", 7], [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"lying\", 6]]], [\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 8], ... | {"split": "train", "index": 18083} |
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: Alexander, Benjamin, Zoey, Victoria, Lily, Abigail, Oliver, Evelyn, and Sebastian. Alexander was heard saying, \"(if Victoria is a knave then (if Ben... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 306, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"lying\", 1], [\"lying\", 8]], [\"not\", [\"telling-truth\", 6]]]], [\"not\", [\"->\", [\"or\", [... | {"split": "train", "index": 18084} |
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: Liam, Charlotte, Ava, Michael, Joseph, William, Lily, Samuel, and Emma. Liam told you that Ava is a saint. Charlotte noted, \"Lily is a sinner if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 307, \"statements\": [[\"not\", [\"lying\", 2]], [\"<=>\", [\"lying\", 6], [\"->\", [\"and\", [\"lying\", 0], [\"telling-truth\", 0]], [\"->\", [\"lying\", 6], [\"telling-truth\", 3]]]], [\"telling-truth\", 2], [\"telling-trut... | {"split": "train", "index": 18085} |
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: Jack, James, Lily, Aiden, Chloe, Elizabeth, Alexander, Abigail, and Joseph. Jack told you that if ((if Joseph is a saint then Chloe is a saint) and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 308, \"statements\": [[\"->\", [\"and\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 8]]], [\"->\", [\"not\", [\"lying\", 2]], [\"or\", [\"lying\", 4], [\"lying\", 2]... | {"split": "train", "index": 18086} |
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: Noah, Victoria, Olivia, Henry, Charlotte, Mia, James, Isabella, and Grace. \"(it is not the case that (Henry is a knave)) and (if (Grace is a knight ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 309, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 8], [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 0]], [\"lying\", 2]], [\"->\", [\"lying\", 1], [\"not\... | {"split": "train", "index": 18087} |
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: Victoria, Jack, Penelope, Abigail, Grace, Scarlett, Joseph, Zoey, and Aiden. In Victoria's words: \"(if Abigail is a devil then (Grace is an angel or J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 310, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 3], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 6], [\"telling-truth\", 7]]], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 5]], [\"or\", [\"lying\", 5], [... | {"split": "train", "index": 18088} |
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: Evelyn, Elizabeth, Emma, Ava, Olivia, Sofia, Jacob, Lucas, and Aiden. In a statement by Evelyn: \"it is not the case that ((Lucas is a sage) if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 311, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"lying\", 7]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 6], [\"telling-truth\", 3], [\"telling-truth\", 8]]]], [\"->\", [\"not\", [\"and\", [\"telling-truth\", ... | {"split": "train", "index": 18089} |
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: Matthew, Amelia, Penelope, Aria, Olivia, Henry, David, Liam, and Samuel. As Matthew put it, \"((Henry is a knight or David is a knight or Matthew is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 312, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 6], [\"telling-truth\", 0]], [\"lying\", 3]], [\"telling-truth\", 2]], [\"or\", [\"lying\", 5], [\"or\", [\"<=>\", [\"lying\", 6], [... | {"split": "train", "index": 18090} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Luke, Sophia, James, Emma, Abigail, Oliver, Lily, Isabella, and Henry. Luke asserted: \"(if Isabella is a sinner then (Abigail is a sinner or Abigail... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 313, \"statements\": [[\"or\", [\"->\", [\"lying\", 7], [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 8]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 8]], [\"->\", [\"lying\... | {"split": "train", "index": 18091} |
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, Ethan, Evelyn, Elizabeth, William, Jacob, Aria, Owen, and Michael. Aiden commented, \"Michael is a sage\". As Ethan put it, \"it is not the case tha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 314, \"statements\": [[\"telling-truth\", 8], [\"not\", [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]]], [\"and\", [\"not\", [\"not\", [\"telling-truth\", 5]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"lying... | {"split": "train", "index": 18092} |
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, Oliver, Aurora, Jackson, Olivia, Lucas, Jacob, Noah, and Scarlett. In Mia's words: \"if ((Oliver is a saint or Jackson is a sinner or Jackson is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 315, \"statements\": [[\"->\", [\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 3], [\"lying\", 1]], [\"lying\", 8]], [\"->\", [\"or\", [\"lying\", 8], [\"telling-truth\", 8]], [\"or\", [\"lying\",... | {"split": "train", "index": 18093} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Olivia, Henry, Sophia, Aiden, Evelyn, Scarlett, Owen, Noah, and Isabella. Olivia stated, \"it is not the case that (if (Henry is a sinner or Olivia i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 316, \"statements\": [[\"not\", [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 0]]]], [\"<=>\", [\"and\", [\"and\", [\"telling-truth\", ... | {"split": "train", "index": 18094} |
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, Benjamin, Olivia, Mia, Abigail, Zoey, Aria, Lily, and Evelyn. Joseph said that (if (Aria is a hero and Benjamin is a villain and Zoey is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 317, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 6], [\"lying\", 1], [\"telling-truth\", 5], [\"telling-truth\", 0]], [\"or\", [\"lying\", 5], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"lying\", 1],... | {"split": "train", "index": 18095} |
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, William, Samuel, Abigail, Noah, Emily, Matthew, Aiden, and Evelyn. \"Emily is a knight and ((Evelyn is a knave or Evelyn is a knight or Noah ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 318, \"statements\": [[\"and\", [\"telling-truth\", 5], [\"or\", [\"or\", [\"lying\", 8], [\"telling-truth\", 8], [\"lying\", 4], [\"lying\", 6]], [\"and\", [\"telling-truth\", 6], [\"lying\", 8], [\"lying\", 2], [\"lying\", 5... | {"split": "train", "index": 18096} |
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: Jack, Ethan, Michael, Samuel, Matthew, Riley, Mason, Aurora, and Lucas. According to Jack, \"Matthew is a knight\". Ethan commented, \"Riley is a kna... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 319, \"statements\": [[\"telling-truth\", 4], [\"lying\", 5], [\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 6], [\"telling-truth\", 7]]], [\"lying\", 8]], [\"and\", [\"not\", [\"and\", [\"telling... | {"split": "train", "index": 18097} |
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, Noah, Riley, Daniel, Joseph, Harper, Scarlett, Amelia, and Ethan. Elizabeth said, \"((Riley is an egoist if and only if Joseph is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 320, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"lying\", 4]], [\"<=>\", [\"or\", [\"lying\", 8], [\"telling-truth\", 6]], [\"or\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\... | {"split": "train", "index": 18098} |
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: Matthew, Sofia, Samuel, Jackson, Mia, Daniel, Zoey, Chloe, and Avery. Matthew commented, \"Matthew is a knight\". Sofia asserted: \"((Chloe is a knig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 321, \"statements\": [[\"telling-truth\", 0], [\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 7], [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 2]], [\"lying\", ... | {"split": "train", "index": 18099} |
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