data_source stringclasses 1
value | prompt stringlengths 948 4.18k | ability stringclasses 1
value | reward_model stringlengths 1.89k 8.09k | extra_info stringlengths 30 34 |
|---|---|---|---|---|
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Ethan, Sebastian, James, Zoey, Harper, Oliver, Isabella, Benjamin, and Henry. Ethan was heard saying, \"(Oliver is a devil and Benjamin is a devil) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 310, \"statements\": [[\"and\", [\"and\", [\"lying\", 5], [\"lying\", 7]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 1]]], [\"<=>\", [\"not\", [\"lying\", 0]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 7... | {"split": "train", "index": 9200} |
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, Owen, Sophia, Sebastian, Zoey, Daniel, Scarlett, Jack, and Joseph. As Ava put it, \"Daniel is a knave if and only if (Scarlett is a knave)\". \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 311, \"statements\": [[\"<=>\", [\"lying\", 5], [\"not\", [\"telling-truth\", 6]]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 5]]], [\"telling-truth\", 5], [\"... | {"split": "train", "index": 9201} |
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: Zoey, Liam, Jackson, Amelia, Avery, Owen, Lucas, Emily, and Matthew. According to Zoey, \"(Matthew is an egoist or Liam is an altruist) or (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 312, \"statements\": [[\"or\", [\"or\", [\"lying\", 8], [\"telling-truth\", 1]], [\"->\", [\"lying\", 6], [\"lying\", 8]], [\"not\", [\"telling-truth\", 7]]], [\"or\", [\"telling-truth\", 7], [\"or\", [\"lying\", 4], [\"tellin... | {"split": "train", "index": 9202} |
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, Amelia, Emma, Riley, Aurora, Owen, Avery, Jack, and Oliver. In Joseph's words: \"it is not the case that (Jack is a villain)\". Amelia was he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 313, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 7]]], [\"<=>\", [\"or\", [\"lying\", 2], [\"lying\", 4]], [\"not\", [\"lying\", 5]]], [\"not\", [\"lying\", 4]], [\"not\", [\"lying\", 7]], [\"lying\", 1], [\"not\"... | {"split": "train", "index": 9203} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Logan, Sofia, Benjamin, Alexander, Riley, Michael, Emily, Liam, and Scarlett. Logan stated, \"Michael is a knight\". \"Alexander is a knight,\" Sofia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 314, \"statements\": [[\"telling-truth\", 5], [\"telling-truth\", 3], [\"not\", [\"or\", [\"lying\", 7], [\"lying\", 3]]], [\"telling-truth\", 7], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 8]]], [\"or\", ... | {"split": "train", "index": 9204} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Henry, Mason, Abigail, Michael, Sofia, Daniel, David, Avery, and Alexander. Henry said, \"it is not the case that (if Abigail is a knight then Mason ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 315, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 6], [\"telling-truth\", 6]], [\"lying\", 7]], [\"lying\", 0], [\"<=>\", [\"telling-trut... | {"split": "train", "index": 9205} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Harper, Aria, Sophia, Logan, Henry, Elizabeth, Daniel, Ethan, and David. \"Daniel is a hero,\" Harper declared. Aria said that if (Harper is a hero o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 316, \"statements\": [[\"telling-truth\", 6], [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 7], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 7]]], [\"and\", [\"<=>\", [\"telling-truth\", 5], [... | {"split": "train", "index": 9206} |
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, Ethan, Alexander, Emily, James, Owen, Matthew, Michael, and William. As Riley put it, \"if (James is a sage) then (Owen is a sage or William is a fo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 317, \"statements\": [[\"->\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 5], [\"lying\", 8], [\"lying\", 5]]], [\"and\", [\"->\", [\"telling-truth\", 8], [\"lying\", 4]], [\"->\", [\"telling-truth\", 5], [\"lying... | {"split": "train", "index": 9207} |
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, Emily, William, Lucas, Charlotte, Jackson, Lily, Olivia, and Elizabeth. \"if (Emily is a saint or Olivia is a sinner or Jackson is a saint) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 318, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 7], [\"telling-truth\", 5]], [\"telling-truth\", 7]], [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"lying\", 3]]], [\"not\",... | {"split": "train", "index": 9208} |
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: Owen, Sophia, Samuel, Scarlett, Harper, Evelyn, Aria, Charlotte, and Riley. Owen expressed that if (Harper is a villain if and only if Riley is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 319, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 8]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 8], ... | {"split": "train", "index": 9209} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: James, William, Olivia, Aria, Ella, Penelope, Evelyn, Benjamin, and Abigail. James said that it is not the case that (Penelope is a laggard). I... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 320, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 5]]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"<=>\", [\"lying\", 7], [\"lying\", 4]], [\"telling-truth\", 5]], [\"lying\", 6], [\"and\", [\"-... | {"split": "train", "index": 9210} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Mason, Harper, Noah, James, Avery, Ava, Owen, Ella, and Aurora. Mason expressed that if (James is a villain or Aurora is a villain or Ava is a hero) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 321, \"statements\": [[\"->\", [\"or\", [\"lying\", 3], [\"lying\", 8], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 7], [\"lying\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 8], [\"lying\", ... | {"split": "train", "index": 9211} |
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: Isabella, Oliver, Charlotte, Lily, Alexander, William, Abigail, Chloe, and Samuel. In Isabella's words: \"Oliver is a laggard\". Oliver said th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 322, \"statements\": [[\"lying\", 1], [\"->\", [\"not\", [\"lying\", 0]], [\"telling-truth\", 2]], [\"and\", [\"or\", [\"lying\", 5], [\"telling-truth\", 2], [\"lying\", 1]], [\"->\", [\"lying\", 0], [\"telling-truth\", 1]]], ... | {"split": "train", "index": 9212} |
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, Ella, Luke, Sebastian, Emily, Noah, James, Chloe, and William. \"Chloe is a fool,\" Logan claimed. As Ella put it, \"(if Sebastian is a fool then Em... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 323, \"statements\": [[\"not\", [\"telling-truth\", 7]], [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"telling-truth\", 6], [\"telling-truth\", 8]], [\"not\", [\"not\", [\"lying\", 3]]], [\"lying\", 4], [\"<=>\", [\"<... | {"split": "train", "index": 9213} |
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: Emily, Luke, William, Abigail, Daniel, James, Alexander, Matthew, and Michael. In Emily's words: \"it is not the case that (Luke is a pioneer)\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 324, \"statements\": [[\"not\", [\"not\", [\"lying\", 1]]], [\"not\", [\"not\", [\"lying\", 6]]], [\"and\", [\"not\", [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 4], [\"lying\", 8]], [\"or\", [\"lying\", 6], [\"lying... | {"split": "train", "index": 9214} |
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, Sebastian, Victoria, Liam, Henry, Ella, Owen, and Harper. Penelope said, \"(Sebastian is a devil or Owen is an angel or Liam is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 325, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"->\", [\"lying\", 6], [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 4]], [\"<=>\",... | {"split": "train", "index": 9215} |
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, Sebastian, Zoey, David, Aurora, Charlotte, Noah, Matthew, and Ella. Ava told you that Ella is a pioneer or Charlotte is a pioneer. Sebasti... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 326, \"statements\": [[\"or\", [\"telling-truth\", 8], [\"telling-truth\", 5]], [\"not\", [\"and\", [\"lying\", 7], [\"telling-truth\", 2]]], [\"and\", [\"lying\", 8], [\"not\", [\"lying\", 4]]], [\"not\", [\"<=>\", [\"telling... | {"split": "train", "index": 9216} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Ella, Elizabeth, Owen, Scarlett, Jacob, Evelyn, Sophia, Avery, and Jackson. As Ella put it, \"if (Jackson is an egoist) then (Elizabeth is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 327, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", ... | {"split": "train", "index": 9217} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Henry, Scarlett, William, Olivia, Samuel, Elizabeth, Oliver, James, and Harper. \"if (Elizabeth is a saint and Harper is a sinner) then (William is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 328, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 5], [\"lying\", 8]], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"lying\", 6], [\"lying\", 8]]], [\"->\", [\"->\", [\"telling-truth\", 6], [\"telling-tr... | {"split": "train", "index": 9218} |
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: David, Aria, Ethan, William, Daniel, Sophia, Lily, Mason, and Jacob. \"Jacob is a pioneer\" - David. In Aria's words: \"it is not the case that... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 329, \"statements\": [[\"telling-truth\", 8], [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 7], [\"lying\", 7]]], [\"->\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 6], [... | {"split": "train", "index": 9219} |
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, Jack, Harper, Noah, William, Mason, Isabella, Aurora, and Jackson. Elizabeth expressed that it is not the case that (Harper is an al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 330, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 7], [\"telling-truth\", 5]]], [\"and\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 2]], [\"or\", [\"lying\", 0], [\"lying\", 3]], [\"or\"... | {"split": "train", "index": 9220} |
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: Zoey, Owen, Penelope, Logan, Aurora, Sofia, Emma, Jacob, and Isabella. Zoey noted, \"if (Logan is a hero or Owen is a hero or Emma is a villain) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 331, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 6]], [\"not\", [\"telling-truth\", 5]]], [\"not\", [\"->\", [\"lying\", 8], [\"lying\", 4]]], [\"<=>\", [\"->\", [\"lying\", 7... | {"split": "train", "index": 9221} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Liam, William, Zoey, Aurora, Ava, Isabella, Charlotte, Emma, and Sophia. In a statement by Liam: \"(Charlotte is a knight) if and only if (Isabella i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 332, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 6]], [\"not\", [\"telling-truth\", 5]]], [\"and\", [\"and\", [\"telling-truth\", 5], [\"lying\", 6]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"lying\", 5], [\"telling... | {"split": "train", "index": 9222} |
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, Joseph, Owen, Grace, Matthew, Emma, Chloe, Aurora, and Abigail. Luke told you that it is not the case that (Abigail is a sinner if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 333, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 6]]], [\"and\", [\"lying\", 5], [\"telling-truth\", 3]], [\"telling-truth\", 1], [\"not\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]]], [\"->\", [\"n... | {"split": "train", "index": 9223} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Aurora, Daniel, Ava, Elizabeth, Sofia, Aria, Ethan, Owen, and Joseph. Aurora remarked, \"(Aurora is a knight if and only if Joseph is a knight) and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 334, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 8]], [\"not\", [\"lying\", 6]]], [\"lying\", 6], [\"lying\", 5], [\"<=>\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 8]], [\"or\", [\"ly... | {"split": "train", "index": 9224} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Logan, Aiden, Isabella, Luke, Lily, Scarlett, Joseph, Sofia, and Sebastian. Logan was heard saying, \"(Aiden is an angel or Scarlett is a devil or Aide... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 335, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 5], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 5], [\"telli... | {"split": "train", "index": 9225} |
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: Zoey, Noah, Oliver, Grace, Joseph, Jacob, Charlotte, Harper, and Mason. Zoey noted, \"it is not the case that (Harper is an angel or Mason is a devil o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 336, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 7], [\"lying\", 8], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 0]], [\"lying\", 6]], [\"lying\", 7]... | {"split": "train", "index": 9226} |
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: Jackson, James, Jacob, Ava, William, Harper, Riley, Matthew, and Liam. Jackson said, \"Liam is a saint.\" James expressed that Riley is a saint. \"(M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 337, \"statements\": [[\"telling-truth\", 8], [\"telling-truth\", 6], [\"and\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 1], [\"lying\",... | {"split": "train", "index": 9227} |
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: Mia, Emily, Noah, Evelyn, Sophia, Aria, Isabella, Luke, and Elizabeth. In Mia's words: \"Aria is a devil\". \"if (Isabella is a devil) then Luke is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 338, \"statements\": [[\"lying\", 5], [\"->\", [\"not\", [\"telling-truth\", 6]], [\"telling-truth\", 7]], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 2], [\"l... | {"split": "train", "index": 9228} |
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, Logan, Penelope, Mason, Abigail, Jacob, Liam, Samuel, and Mia. Aiden asserted: \"if (Logan is a sage or Liam is a sage or Mason is a fool) then (Log... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 339, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 6], [\"lying\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 3], [\"lying\", 6]]], [\"telling-truth\", 2], [\"->\", [\"<=>\", [\"telling-... | {"split": "train", "index": 9229} |
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, Jacob, Daniel, David, Ava, Abigail, Emily, Joseph, and Riley. Grace expressed that (David is a laggard if and only if Daniel is a pionee... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 340, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"lying\", 2], [\"telling-truth\", 7]]], [\"->\", [\"telling-truth\", 4], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"or\"... | {"split": "train", "index": 9230} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Grace, Noah, Michael, Zoey, Mia, Aurora, Joseph, Harper, and Liam. Grace expressed that if Joseph is a villain then (Harper is a villain). Noah asser... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 341, \"statements\": [[\"->\", [\"lying\", 6], [\"not\", [\"telling-truth\", 7]]], [\"not\", [\"or\", [\"lying\", 6], [\"telling-truth\", 6], [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 8], [\"lying\", 5]... | {"split": "train", "index": 9231} |
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: Ava, Logan, Evelyn, Jacob, Elizabeth, Victoria, Aiden, Luke, and Olivia. In a statement by Ava: \"(Aiden is a sinner or Elizabeth is a saint) if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 342, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 6], [\"telling-truth\", 4]], [\"not\", [\"lying\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 1]]... | {"split": "train", "index": 9232} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Amelia, Samuel, Jacob, Henry, Benjamin, Oliver, Liam, William, and Olivia. \"(Jacob is a saint if and only if Amelia is a saint) or (William is a sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 343, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 7], [\"lying\", 4], [\"lying\", 1]], [\"or\", [\"lying\", 5], [\"telling-truth\", 3]]], [\"and\", [\"not\"... | {"split": "train", "index": 9233} |
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, Lucas, Aurora, Alexander, Oliver, Grace, Mason, Penelope, and Joseph. As Samuel put it, \"(if Grace is a sage then Joseph is a fool) or (Grace is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 344, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 5], [\"lying\", 8]], [\"or\", [\"lying\", 5], [\"telling-truth\", 7]]], [\"<=>\", [\"not\", [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 4]]... | {"split": "train", "index": 9234} |
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, Daniel, Liam, Evelyn, Alexander, Aiden, Ethan, Grace, and Riley. \"Evelyn is an altruist\" - Sophia. As Daniel put it, \"Daniel is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 345, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 6], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"lying\", 7], [\"telling-truth\", 8]], [\"... | {"split": "train", "index": 9235} |
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: David, Aiden, Emily, Elizabeth, Aria, Harper, Olivia, Samuel, and Jacob. David said, \"Harper is a laggard.\" Aiden commented, \"(Emily is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 346, \"statements\": [[\"lying\", 5], [\"and\", [\"or\", [\"lying\", 2], [\"lying\", 0], [\"telling-truth\", 7]], [\"->\", [\"lying\", 7], [\"lying\", 2]], [\"and\", [\"telling-truth\", 6], [\"lying\", 5]]], [\"telling-truth\"... | {"split": "train", "index": 9236} |
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: Benjamin, Sophia, Mason, William, Matthew, Noah, Alexander, Henry, and Harper. Benjamin remarked, \"it is not the case that (if Mason is a devil then M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 347, \"statements\": [[\"not\", [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"lying\", 5], [\"telling-truth\", 7], [\"telling-truth\", 0]], [\"lying\", 5]], [\"->\", [\"not\", [\"lying\", 5]], [\"lying\", 0]... | {"split": "train", "index": 9237} |
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, Evelyn, Owen, Aurora, Daniel, Mason, Harper, Mia, and Sebastian. Ella told you that (Evelyn is a saint) or (Owen is a saint and Sebastian is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 348, \"statements\": [[\"or\", [\"not\", [\"lying\", 1]], [\"and\", [\"telling-truth\", 2], [\"lying\", 8], [\"telling-truth\", 7]]], [\"not\", [\"->\", [\"lying\", 5], [\"lying\", 3]]], [\"->\", [\"not\", [\"telling-truth\", ... | {"split": "train", "index": 9238} |
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, Alexander, Victoria, Michael, Jacob, Ethan, James, Ella, and Sophia. Evelyn commented, \"(Michael is a villain if and only if Jacob is a hero... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 349, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"not\", [\"lying\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 6]]], [\"->\", [\"and\", [\"telling-truth... | {"split": "train", "index": 9239} |
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, Sebastian, Lily, Liam, Scarlett, Samuel, Aurora, Daniel, and Jacob. In a statement by Ethan: \"if Scarlett is a pioneer then (Scarlett i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 350, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"telling-truth\", 7], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"and\", [\"telling-trut... | {"split": "train", "index": 9240} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Luke, Jack, Penelope, Sebastian, Chloe, Sofia, Emma, Scarlett, and Elizabeth. Luke told you that (Elizabeth is a hero) and (Sebastian is a villain an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 351, \"statements\": [[\"and\", [\"not\", [\"lying\", 8]], [\"and\", [\"lying\", 3], [\"telling-truth\", 1]], [\"telling-truth\", 8]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 7]], [\"not\"... | {"split": "train", "index": 9241} |
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, Ethan, Avery, William, Victoria, Daniel, Scarlett, Owen, and Sophia. Chloe told you that (if Owen is an egoist then Victoria is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 352, \"statements\": [[\"or\", [\"->\", [\"lying\", 7], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 1]]], [\"not\", [\"telling-truth\", 3]], [\"->\", [\"and\", [\"lying\", 1], [\"lying\", 0],... | {"split": "train", "index": 9242} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Grace, Logan, Abigail, James, David, Chloe, Zoey, Daniel, and Emily. Grace commented, \"if (Abigail is a villain or Zoey is a villain) then (Emily is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 353, \"statements\": [[\"->\", [\"or\", [\"lying\", 2], [\"lying\", 6]], [\"not\", [\"telling-truth\", 8]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]], [\"telling-truth\", 4]], [\"->\", [\"->\", [\"telling-tr... | {"split": "train", "index": 9243} |
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, Scarlett, Penelope, Grace, Zoey, Michael, Riley, Alexander, and Joseph. Sofia noted, \"it is not the case that (Riley is a saint and Penelope ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 354, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 8], [\"lying\", 6]]], [\"or\", [\"not... | {"split": "train", "index": 9244} |
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, Mia, Mason, Avery, Jack, Jacob, Logan, Joseph, and Liam. \"if (Avery is a laggard) then (Logan is a laggard or Jack is a laggard)\" - Ell... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 355, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 6], [\"lying\", 4]]], [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 7]], [\"not\", [\"telling-truth\", 7]]], [\"<=>... | {"split": "train", "index": 9245} |
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, Logan, Liam, Avery, Evelyn, Riley, Mason, Sebastian, and William. Abigail said, \"if (Avery is a villain if and only if Liam is a villain) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 356, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4], [\"lying\", 0]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 8]], [\"telling-truth\", 4]], ... | {"split": "train", "index": 9246} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Owen, Olivia, Lucas, Mason, Jackson, Jacob, Emily, Isabella, and Noah. Owen noted, \"(Lucas is an angel) or (Jacob is a devil if and only if Emily is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 357, \"statements\": [[\"or\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 6]]], [\"and\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 4], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 5]... | {"split": "train", "index": 9247} |
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: Avery, Aiden, Ava, Evelyn, Henry, Lily, Amelia, Grace, and Chloe. Avery was heard saying, \"(Chloe is a sinner or Ava is a sinner or Evelyn is a sinn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 358, \"statements\": [[\"or\", [\"or\", [\"lying\", 8], [\"lying\", 2], [\"lying\", 3]], [\"not\", [\"lying\", 5]]], [\"<=>\", [\"->\", [\"lying\", 0], [\"lying\", 6]], [\"telling-truth\", 4]], [\"and\", [\"not\", [\"lying\", ... | {"split": "train", "index": 9248} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Logan, Ava, Zoey, Alexander, Ethan, Lily, Victoria, Penelope, and Isabella. As Logan put it, \"(Penelope is an egoist if and only if Lily is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 359, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 7]], [\"->\", [\"lying\", 7], [\"telling-truth\", 1]]], [\"and\", [\"and\", [\"lying\", 0], [\"tel... | {"split": "train", "index": 9249} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Noah, Sebastian, Ethan, Penelope, David, Emma, Olivia, William, and Abigail. Noah remarked, \"Penelope is an egoist\". In a statement by Sebast... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 360, \"statements\": [[\"lying\", 3], [\"not\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 7], [\"lying\", 3]]], [\"not\"... | {"split": "train", "index": 9250} |
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, Matthew, Michael, Avery, Sofia, Jackson, Logan, Mason, and Zoey. According to Victoria, \"(Matthew is a villain if and only if Sofia is a h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 361, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 5], [\"lying\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 6], [\"telling-truth\", 3]], [... | {"split": "train", "index": 9251} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Sebastian, Penelope, Daniel, Sofia, Owen, Mason, Michael, Ava, and Henry. \"(Sofia is an angel) if and only if (Penelope is an angel and Daniel is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 362, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 8]]], [\"<=>\", [\"lying\", 5], [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"->\", [\"an... | {"split": "train", "index": 9252} |
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, Ella, Charlotte, Zoey, Avery, Oliver, Penelope, Liam, and Victoria. Mia was heard saying, \"(Avery is an altruist and Oliver is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 363, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 5], [\"lying\", 6]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 8]]], [\"and\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 2]], [\"lyi... | {"split": "train", "index": 9253} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Noah, Logan, Ella, Luke, Jack, Benjamin, Harper, Chloe, and Joseph. Noah expressed that (Jack is an altruist and Chloe is an egoist and Joseph ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 364, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 7], [\"telling-truth\", 8]], [\"and\", [\"lying\", 2], [\"telling-truth\", 5]]], [\"telling-truth\", 2], [\"telling-truth\", 8], [\"and\", [\"not\",... | {"split": "train", "index": 9254} |
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, Joseph, Olivia, Henry, James, Jack, William, Mia, and Daniel. As Abigail put it, \"Henry is a hero\". In Joseph's words: \"it is not the cas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 365, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 8]]], [\"not\", [\"and\", [\"lying\", 1], [\"lying\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 0... | {"split": "train", "index": 9255} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Evelyn, Ava, Isabella, Benjamin, David, Scarlett, Mason, Henry, and Sofia. Evelyn noted, \"(David is a pioneer if and only if Mason is a pionee... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 366, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 7], [\"telling-truth\", 5]]], [\... | {"split": "train", "index": 9256} |
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, William, Michael, Chloe, Isabella, Liam, Logan, Penelope, and Emma. David noted, \"if (David is a knight or Chloe is a knight) then William is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 367, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"telling-truth\", 1]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 0]], [\"lying\", 0]], [\"not\", [... | {"split": "train", "index": 9257} |
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, Charlotte, Scarlett, Olivia, Jackson, Amelia, Ella, Mia, and Sofia. As Jack put it, \"(Ella is a sage and Mia is a fool and Sofia is a sage) and (Mia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 368, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 6], [\"lying\", 7], [\"telling-truth\", 8]], [\"and\", [\"lying\", 7], [\"telling-truth\", 8]]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 7]], [\"not\", [\"tel... | {"split": "train", "index": 9258} |
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: Emma, Scarlett, Charlotte, Elizabeth, Sophia, Emily, William, Alexander, and Owen. Emma expressed that (Emily is an angel or William is a devil) or (Em... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 369, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 5], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 6]], [\"->\", [\"lying\", 7], [\"telling-truth\", 7]]], [\"not\", [\"or\", [\"telling-truth... | {"split": "train", "index": 9259} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Lily, Oliver, Sofia, Daniel, Isabella, Jack, Elizabeth, Emily, and Evelyn. According to Lily, \"(Isabella is a laggard or Emily is a pioneer) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 370, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 6]]], [\"->\", [\"or\", [\"telling-truth\", 1... | {"split": "train", "index": 9260} |
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, Olivia, Riley, Joseph, Ava, Zoey, Evelyn, Alexander, and Penelope. Matthew commented, \"it is not the case that (Evelyn is a knave)\". \"(Jo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 371, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 6]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"telling-tru... | {"split": "train", "index": 9261} |
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, Jacob, Isabella, Jack, Daniel, Zoey, Sophia, Lily, and Oliver. Luke asserted: \"(Jacob is a saint or Jack is a saint) and (Oliver is a saint an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 372, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [\"lying\", 1], [\"lying\", 4]]], [\"->\", [... | {"split": "train", "index": 9262} |
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: Matthew, Daniel, Olivia, David, Jackson, Samuel, Alexander, Penelope, and Riley. Matthew was heard saying, \"Olivia is a pioneer and (if Samuel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 373, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"->\", [\"lying\", 5], [\"telling-truth\", 0]], [\"not\", [\"lying\", 2]]], [\"and\", [\"or\", [\"lying\", 6], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 4],... | {"split": "train", "index": 9263} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: James, Ella, Sebastian, Emily, Samuel, Elizabeth, Liam, David, and Luke. \"if (if James is a pioneer then Sebastian is a laggard) then (Emily i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 374, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 6]]], [\"telling-truth\", 2], [\"lying\", 5], [\"telling-truth\", 2], [\"->\", [\"and\", [\"... | {"split": "train", "index": 9264} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: William, Chloe, Avery, Ella, Abigail, Aurora, Scarlett, Matthew, and Harper. \"(Chloe is a sage and Avery is a fool and William is a sage) if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 375, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"lying\", 3]], [\"and\", [\"telling-t... | {"split": "train", "index": 9265} |
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: Zoey, James, Ava, Mia, Penelope, Grace, Avery, Michael, and William. Zoey remarked, \"James is a sinner or (William is a sinner)\". In James's words:... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 376, \"statements\": [[\"or\", [\"lying\", 1], [\"not\", [\"telling-truth\", 8]]], [\"->\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 6]]], [\"and\", [\"or... | {"split": "train", "index": 9266} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Aiden, Matthew, Chloe, Logan, Samuel, Ava, Zoey, Mason, and James. Aiden noted, \"if (Logan is a knave or James is a knight or Mason is a knight) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 377, \"statements\": [[\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 2], [... | {"split": "train", "index": 9267} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Penelope, Aurora, Grace, Jacob, Aria, Riley, Liam, Ethan, and Joseph. Penelope was heard saying, \"if (Aurora is a villain and Ethan is a villain and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 378, \"statements\": [[\"->\", [\"and\", [\"lying\", 1], [\"lying\", 7], [\"lying\", 6]], [\"lying\", 3]], [\"or\", [\"telling-truth\", 8], [\"or\", [\"lying\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"lying\"... | {"split": "train", "index": 9268} |
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, Joseph, Jack, Grace, Ethan, Aiden, Owen, Sophia, and Abigail. Liam asserted: \"(Joseph is an egoist and Abigail is an altruist) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 379, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"or\", [\"lying\", 2], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 6]]], [\"<=>\", [\"n... | {"split": "train", "index": 9269} |
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: Victoria, Emma, Mason, Matthew, Samuel, Liam, Daniel, Noah, and Jacob. In Victoria's words: \"Liam is a pioneer or (Jacob is a pioneer if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 380, \"statements\": [[\"or\", [\"telling-truth\", 5], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 5]]], [\"or\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"or\", [\"t... | {"split": "train", "index": 9270} |
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: Evelyn, Liam, Grace, Amelia, Avery, Aurora, Victoria, Daniel, and Charlotte. \"(Aurora is a saint or Avery is a sinner) if and only if Daniel is a si... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 381, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 5], [\"lying\", 4]], [\"lying\", 7]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2]], [\"not\", [\"telling-truth\", 8]]], [\"<=>\", [\"telling-truth\", 0... | {"split": "train", "index": 9271} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Logan, Aiden, Emma, Jackson, Aurora, Noah, Amelia, James, and Ava. According to Logan, \"(if Amelia is an angel then Logan is an angel) or (Jackson is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 382, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 3], [\"lying\", 5]]], [\"->\", [\"not\", [\"telling-truth\", 8]], [\"or\", [\"lying\", 4], [\"telling-truth\", 8]]]... | {"split": "train", "index": 9272} |
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, Mason, Sofia, Henry, William, Jack, Evelyn, Emma, and Aria. Daniel remarked, \"(Evelyn is an angel) or Emma is an angel\". Mason told you that ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 383, \"statements\": [[\"or\", [\"not\", [\"lying\", 6]], [\"telling-truth\", 7]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 3]]], [\"telling-truth... | {"split": "train", "index": 9273} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Owen, Alexander, Henry, Olivia, Aiden, Luke, Amelia, Matthew, and Aria. \"(Henry is an egoist and Matthew is an altruist and Owen is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 384, \"statements\": [[\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 7], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 4]]], [\"and\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth... | {"split": "train", "index": 9274} |
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, Avery, Matthew, Noah, Riley, Lily, Oliver, and Ella. Lucas expressed that it is not the case that (Emma is a devil and Oliver is a devil a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 385, \"statements\": [[\"not\", [\"and\", [\"lying\", 1], [\"lying\", 7], [\"telling-truth\", 6]]], [\"->\", [\"telling-truth\", 6], [\"not\", [\"lying\", 4]]], [\"or\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 2]], [\"or... | {"split": "train", "index": 9275} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Samuel, Michael, Amelia, Jackson, Mason, Chloe, Avery, Mia, and Lucas. Samuel was heard saying, \"it is not the case that (Mason is a hero and Chloe ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 386, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 5], [\"telling-truth\", 3]]], [\"not\", [\"not\", [\"lying\", 2]]], [\"<=>\", [\"not\", [\"lying\", 5]], [\"or\", [\"lying\", 0], [\"telling-truth\"... | {"split": "train", "index": 9276} |
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: Aria, Lucas, Charlotte, Luke, Liam, Lily, Sebastian, Zoey, and Joseph. Aria remarked, \"(Zoey is a saint and Lily is a sinner and Aria is a saint) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 387, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 7], [\"lying\", 5], [\"telling-truth\", 0]], [\"not\", [\"lying\", 8]]], [\"lying\", 3], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"not... | {"split": "train", "index": 9277} |
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, Isabella, Harper, Grace, Sebastian, Victoria, James, Luke, and Owen. Abigail was heard saying, \"Luke is a sinner\". Isabella remarked, \"(J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 388, \"statements\": [[\"lying\", 7], [\"or\", [\"or\", [\"lying\", 6], [\"lying\", 7], [\"lying\", 2]], [\"or\", [\"lying\", 5], [\"lying\", 7], [\"telling-truth\", 4]], [\"lying\", 8]], [\"and\", [\"<=>\", [\"telling-truth\"... | {"split": "train", "index": 9278} |
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: Zoey, Jackson, Owen, Ava, Chloe, Scarlett, Emma, Luke, and Aria. According to Zoey, \"(if Ava is an altruist then Jackson is an altruist) or (J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 389, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"lying\", 1]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 6], [\"lying\", 2]]], [\"->\", [\"or\", [\"lying\", 4], ... | {"split": "train", "index": 9279} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Jack, Victoria, Logan, Sebastian, Riley, Zoey, Mia, Henry, and Lucas. According to Jack, \"if (Lucas is a pioneer and Riley is a pioneer and Vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 390, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 4], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 5]]], [\"->\", [\"->\", [\"lying\", 0], [\"lying\", 2]], [\"lying\... | {"split": "train", "index": 9280} |
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: Chloe, Daniel, Mia, Aria, Olivia, Emma, Elizabeth, Grace, and Isabella. In a statement by Chloe: \"Emma is a sinner or (Isabella is a sinner) or Isab... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 391, \"statements\": [[\"or\", [\"lying\", 5], [\"not\", [\"telling-truth\", 8]], [\"lying\", 8]], [\"and\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 6]], [\"telling-truth\", 5]], [\"or\", [\"and\", [\"telling-truth\", 7]... | {"split": "train", "index": 9281} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Noah, Victoria, Benjamin, Avery, Ethan, David, Emma, Aurora, and Aiden. Noah stated, \"if (David is a saint) then (Victoria is a saint if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 392, \"statements\": [[\"->\", [\"not\", [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 5]]], [\"not\", [\"not\", [\"lying\", 4]]], [\"telling-truth\", 0], [\"and\", [\"<=>\", [\"telling-truth\", 6], [\"telling... | {"split": "train", "index": 9282} |
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, Olivia, Chloe, Aiden, Avery, Charlotte, Alexander, Lily, and Emily. James was heard saying, \"if (if Avery is a knave then Olivia is a knight)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 393, \"statements\": [[\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 6]]], [\"and\", [\"telling-truth\", 2], [\"not\", [\"lying\", 2]], [\"telling-truth\", 0]], [\"not\... | {"split": "train", "index": 9283} |
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, Chloe, Mia, Ava, Lily, Emily, Liam, Joseph, and William. \"it is not the case that (Liam is a knight or Joseph is a knave)\" - James. \"(if Av... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 394, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 6], [\"lying\", 7]]], [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 5]], [\"telling-truth\", 5]], [\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"<=>\", [\"t... | {"split": "train", "index": 9284} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Noah, Henry, Mason, James, Sebastian, Alexander, Owen, Chloe, and Amelia. As Noah put it, \"(Chloe is a hero) and (Alexander is a hero or Alexander i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 395, \"statements\": [[\"and\", [\"not\", [\"lying\", 7]], [\"or\", [\"telling-truth\", 5], [\"lying\", 5]]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 7]]], [\"<=>\", [\"lying\"... | {"split": "train", "index": 9285} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Amelia, Elizabeth, Liam, Abigail, Chloe, Aiden, Daniel, Henry, and James. Amelia commented, \"(Chloe is a knave if and only if Amelia is a knight) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 396, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"lying\", 6]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 4]], [\"<=>\", [\"lying\", 0], [\"lying\", 2]]]... | {"split": "train", "index": 9286} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Chloe, Aria, Scarlett, Amelia, Benjamin, Victoria, Ava, Samuel, and James. Chloe said, \"Samuel is a pioneer.\" \"(Chloe is a pioneer) or (if S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 397, \"statements\": [[\"telling-truth\", 7], [\"or\", [\"not\", [\"lying\", 0]], [\"->\", [\"lying\", 7], [\"lying\", 4]], [\"and\", [\"lying\", 2], [\"lying\", 8], [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"telling-trut... | {"split": "train", "index": 9287} |
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, Sebastian, James, Alexander, Lily, Jack, Zoey, William, and Ella. Harper was heard saying, \"Alexander is a knight or (Lily is a knave or Jam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 398, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 7], [\"lying\", 2]]], [\"or\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 4]], [... | {"split": "train", "index": 9288} |
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, Olivia, Victoria, Sophia, Avery, Owen, Luke, Sebastian, and Henry. In Sofia's words: \"Victoria is a sage\". \"(if Sebastian is a fool then Henry is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 399, \"statements\": [[\"not\", [\"lying\", 2]], [\"<=>\", [\"->\", [\"lying\", 7], [\"lying\", 8]], [\"->\", [\"lying\", 4], [\"lying\", 5]]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 5]], [\"or\", [\"te... | {"split": "train", "index": 9289} |
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, Luke, James, Noah, Victoria, Alexander, Scarlett, Aurora, and Charlotte. Grace said, \"it is not the case that (James is a knight and Grace is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 400, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 1]]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 6], [\"lying\", 4]]], [\"and\", [\"<=>\", [\... | {"split": "train", "index": 9290} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Aurora, Zoey, Ava, Harper, Sebastian, Lily, Riley, Sophia, and James. Aurora told you that (Ava is a sinner) if and only if (James is a sinner if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 401, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 8], [\"lying\", 1]]], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 4], [\"telling-tru... | {"split": "train", "index": 9291} |
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, Emily, Luke, Abigail, Evelyn, Ethan, Riley, Avery, and Joseph. Aria said, \"Joseph is a knave and (if Luke is a knave then Ethan is a knave).\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 402, \"statements\": [[\"and\", [\"lying\", 8], [\"->\", [\"lying\", 2], [\"lying\", 5]]], [\"or\", [\"->\", [\"lying\", 2], [\"lying\", 7]], [\"telling-truth\", 8]], [\"not\", [\"not\", [\"telling-truth\", 8]]], [\"not\", [\"... | {"split": "train", "index": 9292} |
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, Emma, Michael, Victoria, Evelyn, Logan, David, James, and Isabella. William said that Isabella is an altruist. Emma expressed that (Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 403, \"statements\": [[\"telling-truth\", 8], [\"<=>\", [\"or\", [\"telling-truth\", 7], [\"lying\", 4], [\"telling-truth\", 3]], [\"or\", [\"lying\", 8], [\"telling-truth\", 4], [\"lying\", 2]]], [\"or\", [\"and\", [\"lying\"... | {"split": "train", "index": 9293} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Oliver, Matthew, Samuel, Amelia, Jack, James, Zoey, Luke, and Jackson. Oliver told you that (Oliver is a hero and Jackson is a villain and Matthew is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 404, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 8], [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"lying\", 5]]], [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"and\", [\"tel... | {"split": "train", "index": 9294} |
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, Sofia, Victoria, Scarlett, Zoey, Sebastian, Joseph, Jack, and William. Ella told you that (Sofia is a sinner) or Scarlett is a sinner or (Victo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 405, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"lying\", 3], [\"or\", [\"lying\", 2], [\"lying\", 8], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"an... | {"split": "train", "index": 9295} |
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, Scarlett, David, Emily, Riley, Emma, Michael, Aria, and Jackson. In a statement by Jack: \"Scarlett is a sage\". Scarlett said that it is not the cas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 406, \"statements\": [[\"not\", [\"lying\", 1]], [\"not\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 6]]], [\"and\", [\"<=>\", [\"lying\", 0], [\"lying\", 4]], [\"lying\", 3], [\"telling-truth\", 4]], [\"and\", [\"... | {"split": "train", "index": 9296} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Mia, Riley, Michael, Olivia, Sophia, Sebastian, Aria, Ethan, and Owen. Mia stated, \"it is not the case that (Owen is a knight if and only if Sophia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 407, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 5]], [\"lying\", 2]], [\"not\", [\"or\", [\"telling-truth\", 5], [\"lying\", 1], [\"te... | {"split": "train", "index": 9297} |
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, Aurora, Zoey, Henry, Penelope, Mia, Sebastian, Emma, and Abigail. According to Emily, \"Abigail is a hero or (Emily is a villain) or Emma is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 408, \"statements\": [[\"or\", [\"telling-truth\", 8], [\"not\", [\"telling-truth\", 0]], [\"lying\", 7]], [\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 0]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"no... | {"split": "train", "index": 9298} |
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, Alexander, Emma, Henry, Mia, Oliver, Noah, Liam, and Jacob. Victoria said, \"if (Noah is a saint if and only if Jacob is a saint) then (Hen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 409, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 7]]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [... | {"split": "train", "index": 9299} |
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