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: Ethan, Olivia, Abigail, Penelope, Riley, Charlotte, Liam, Aurora, and Joseph. Ethan asserted: \"(Liam is a fool if and only if (Aurora is a fool if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 644, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 6], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 5]]], [\"->\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 6]]]... | {"split": "train", "index": 16200} |
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: Olivia, Harper, Isabella, Zoey, Aiden, Riley, Ella, Amelia, and Aurora. Olivia commented, \"(if (Zoey is a fool if and only if Amelia is a sage) then (Isab... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 645, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 7]], [\"not\", [\"lying\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 8], [\"tel... | {"split": "train", "index": 16201} |
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: Aria, Owen, Daniel, Mia, Joseph, Chloe, Lucas, Henry, and Ethan. Aria asserted: \"((if Owen is an angel then Lucas is a devil) if and only if (Chloe is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 646, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 6]], [\"not\", [\"telling-truth\", 5]]], [\"or\", [\"lying\", 6], [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 3], [\"lying\", 1... | {"split": "train", "index": 16202} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Emily, Sebastian, Chloe, Samuel, Liam, Lucas, Isabella, Noah, and Charlotte. Emily remarked, \"if ((if Isabella is an altruist then Charlotte i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 647, \"statements\": [[\"->\", [\"or\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 8]], [\"not\", [\"lying\", 5]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 8]], [\"and\", [\"telling... | {"split": "train", "index": 16203} |
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, Zoey, Michael, Chloe, Sofia, Logan, Isabella, Harper, and Sebastian. As Olivia put it, \"if ((Michael is an egoist) if and only if (Har... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 648, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 7], [\"lying\", 3], [\"lying\", 6]]], [\"->\", [\"->\", [\"lying\", 8], [\"lying\", 4]], [\"->\", [\"telling-truth\", 1],... | {"split": "train", "index": 16204} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Benjamin, Joseph, Samuel, Sophia, Ava, Elizabeth, Olivia, Grace, and Aurora. \"((Ava is a sage and Olivia is a fool and Samuel is a fool) or Samuel is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 649, \"statements\": [[\"and\", [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 6], [\"lying\", 2]], [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 6]]], [\"<=>\", [\"not\", [\"lying\", 5]], [\"ly... | {"split": "train", "index": 16205} |
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, Sophia, Benjamin, Henry, Charlotte, Lily, Lucas, Scarlett, and Elizabeth. James remarked, \"it is not the case that (it is not the case that (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 650, \"statements\": [[\"not\", [\"not\", [\"not\", [\"lying\", 5]]]], [\"<=>\", [\"<=>\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"lying\", 3]], [\"telling-truth\", ... | {"split": "train", "index": 16206} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Sebastian, Benjamin, Charlotte, Aria, James, Alexander, Penelope, Avery, and Henry. Sebastian said, \"if (if (if Alexander is a sage then Charlotte is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 651, \"statements\": [[\"->\", [\"->\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 2]], [\"and\", [\"lying\", 8], [\"lying\", 5]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"lying\", 7]]... | {"split": "train", "index": 16207} |
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: Penelope, Owen, Mia, David, Ava, Victoria, Scarlett, Sofia, and Alexander. Penelope stated, \"if Penelope is an altruist then (if (Owen is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 652, \"statements\": [[\"->\", [\"telling-truth\", 0], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 6]]]], [\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"tel... | {"split": "train", "index": 16208} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Mason, Samuel, Sofia, Lucas, William, Isabella, Joseph, Sebastian, and Harper. Mason said, \"it is not the case that ((Isabella is an angel or Sofia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 653, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 2], [\"lying\", 6]], [\"lying\", 4]]], [\"not\", [\"lying\", 5]], [\"or\", [\"lying\", 7], [\"and\", [\"not\", [\"telling-truth\", ... | {"split": "train", "index": 16209} |
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, Avery, Liam, Ella, Amelia, Riley, Jack, Lucas, and Zoey. Luke remarked, \"(Avery is a sinner) or (if (Ella is a saint and Jack is a saint) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 654, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"lying\", 4]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 7]], [\"->\"... | {"split": "train", "index": 16210} |
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: Samuel, Luke, Harper, Isabella, Emily, Aiden, Ethan, Mia, and William. Samuel asserted: \"((if Mia is an altruist then Luke is an altruist) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 655, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 1]]], [\"or\", [\"not\", [\"lying\", 4]], [\"not\", [\"telling-tr... | {"split": "train", "index": 16211} |
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, William, Logan, Jackson, Aria, Owen, Riley, Amelia, and Liam. \"Owen is a laggard,\" Victoria claimed. William expressed that ((Victo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 656, \"statements\": [[\"lying\", 5], [\"or\", [\"and\", [\"<=>\", [\"lying\", 0], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 6]], [\"telling-truth\", 7]], [\"->\", [\"not\", [\"lying\", 6]], [\"or\", [\"ly... | {"split": "train", "index": 16212} |
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, Sebastian, Ava, Harper, David, Joseph, Mia, Scarlett, and Jackson. Alexander remarked, \"(Sebastian is a villain) if and only if ((Jackson... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 657, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"and\", [\"telling-truth\", 8], [\"lying\", 4], [\"telling-truth\", 5]], [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"->\", [\"telling-truth\",... | {"split": "train", "index": 16213} |
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: Olivia, Zoey, Alexander, Chloe, Oliver, Mason, Jacob, Luke, and Aiden. Olivia commented, \"(Chloe is a sage or (Mason is a sage)) and (if (Aiden is a fool ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 658, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 3], [\"not\", [\"lying\", 5]]], [\"->\", [\"and\", [\"lying\", 8], [\"telling-truth\", 5], [\"lying\", 2]], [\"lying\", 4]], [\"not\", [\"not\", [\"lying\", 2]]]], [... | {"split": "train", "index": 16214} |
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, Benjamin, Jacob, Luke, Joseph, Sofia, Aurora, James, and Henry. Ava commented, \"((Luke is a saint or Aurora is a saint) or (Sofia is a saint) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 659, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"not\", [\"lying\", 5]], [\"and\", [\"lying\", 7], [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"t... | {"split": "train", "index": 16215} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Ethan, Luke, Chloe, Benjamin, Jackson, Alexander, Sebastian, Aiden, and Mason. Ethan expressed that (it is not the case that (if Sebastian is a villa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 660, \"statements\": [[\"or\", [\"not\", [\"->\", [\"lying\", 6], [\"telling-truth\", 6]]], [\"telling-truth\", 0], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 8]]]], [\"telling-tru... | {"split": "train", "index": 16216} |
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, Matthew, Ava, Abigail, Noah, Charlotte, Jackson, Alexander, and Oliver. \"((Noah is a sage if and only if Ava is a fool) or (Charlotte is a fool) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 661, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"telling-truth\", 5]], [\"and\", [\"lying\", 6], [\"lying\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", ... | {"split": "train", "index": 16217} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Olivia, Chloe, Ella, James, Aiden, Scarlett, Benjamin, Lily, and Ava. According to Olivia, \"((Aiden is an angel and Chloe is a devil) and Olivia is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 662, \"statements\": [[\"and\", [\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1]], [\"telling-truth\", 0]], [\"<=>\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 8], [\"tel... | {"split": "train", "index": 16218} |
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, Scarlett, Michael, Mia, Ethan, Riley, Henry, Samuel, and Amelia. Olivia asserted: \"Ethan is an egoist\". \"Amelia is an altruist,\" Sc... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 663, \"statements\": [[\"lying\", 4], [\"telling-truth\", 8], [\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 0]], [\"lying\", 1]]], [\"->\", [\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"->\", [\"lyi... | {"split": "train", "index": 16219} |
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: Noah, Oliver, Victoria, Samuel, Emma, Abigail, Ava, Aria, and Sebastian. Noah commented, \"(it is not the case that (if Ava is an angel then Aria is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 664, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 6], [\"lying\", 7]]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 1]]]], [\"and\", [\"or\", [\"->\", [... | {"split": "train", "index": 16220} |
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, Charlotte, Samuel, Noah, Benjamin, Owen, Ava, Oliver, and Mia. Sophia asserted: \"Oliver is a villain if and only if (if (Oliver is a villain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 665, \"statements\": [[\"<=>\", [\"lying\", 7], [\"->\", [\"and\", [\"lying\", 7], [\"telling-truth\", 6], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 1]]]], [\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"l... | {"split": "train", "index": 16221} |
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, Mia, Noah, Grace, Matthew, Lily, Logan, Chloe, and Penelope. In a statement by Amelia: \"if (it is not the case that (Matthew is an ego... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 666, \"statements\": [[\"->\", [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 7]]], [\"->\", [\"lying\", 1], [\"lying\", 5]]], [\"<=>\", [\"telling-truth\", 6], [\"->\", [\"telling-truth\", 3], [\"lying\", 5]]], [\"ly... | {"split": "train", "index": 16222} |
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, Isabella, Avery, Victoria, Benjamin, Amelia, James, Sophia, and Lucas. \"((Amelia is a devil) and (Isabella is a devil and Victoria is an angel an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 667, \"statements\": [[\"or\", [\"and\", [\"not\", [\"telling-truth\", 5]], [\"and\", [\"lying\", 1], [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"and\", [\"lying\", 7], [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"t... | {"split": "train", "index": 16223} |
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, Charlotte, Lily, Henry, Scarlett, Logan, Daniel, Benjamin, and Sophia. Mason told you that (it is not the case that (Daniel is a villain and S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 668, \"statements\": [[\"or\", [\"not\", [\"and\", [\"lying\", 6], [\"lying\", 4], [\"telling-truth\", 0]]], [\"telling-truth\", 6], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"and\", [\"telling-trut... | {"split": "train", "index": 16224} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Amelia, Elizabeth, William, Luke, Benjamin, Henry, Mia, Ethan, and Lily. According to Amelia, \"((Amelia is an angel and Henry is an angel) or (Lily is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 669, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 8], [\"lying\", 3], [\"telling-truth\", 4]], [\"not\", [\"lying\", 6]]], [\"and\", [\"not\", [\"ly... | {"split": "train", "index": 16225} |
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: Aria, Mason, Victoria, Sebastian, Charlotte, Lily, Daniel, William, and Lucas. In Aria's words: \"it is not the case that ((Lily is a pioneer a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 670, \"statements\": [[\"not\", [\"and\", [\"and\", [\"telling-truth\", 5], [\"lying\", 4], [\"telling-truth\", 7]], [\"->\", [\"lying\", 1], [\"lying\", 4]], [\"or\", [\"lying\", 7], [\"telling-truth\", 7], [\"telling-truth\"... | {"split": "train", "index": 16226} |
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, Joseph, Aiden, Ethan, Matthew, Michael, Logan, Aria, and Daniel. Zoey asserted: \"((Daniel is a sinner or Aria is a sinner) if and only if (Zoe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 671, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"lying\", 8], [\"lying\", 7]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 5]]], [\"and\", [\"telling-truth\", 4], [\"or\", [\"lying\", 4], [\"lying\", 2], [\"telli... | {"split": "train", "index": 16227} |
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: Olivia, Henry, Luke, Benjamin, Aiden, Matthew, Logan, Aria, and Harper. \"if Harper is a pioneer then ((Harper is a pioneer if and only if Loga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 672, \"statements\": [[\"->\", [\"telling-truth\", 8], [\"or\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 8]]]], [\"not\", [\"and\", [\"and\", [\"lying\", 6], [\"lying\", ... | {"split": "train", "index": 16228} |
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: Elizabeth, Aurora, James, Ella, Ava, Alexander, Emma, David, and Sophia. In a statement by Elizabeth: \"it is not the case that ((Emma is a hero if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 673, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 6]], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"lying\", 5]]]], [\"->\", [\"or\", [\"or\", [\"l... | {"split": "train", "index": 16229} |
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, Lily, Chloe, Matthew, Joseph, Aria, Henry, and Lucas. As William put it, \"if Matthew is an altruist then (Chloe is an altruist ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 674, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]]]], [\"not\", [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth... | {"split": "train", "index": 16230} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Michael, Benjamin, Riley, Henry, Jack, Charlotte, Lucas, Chloe, and Emily. \"(if (Henry is a laggard and Lucas is a laggard and Lucas is a pion... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 675, \"statements\": [[\"and\", [\"->\", [\"and\", [\"lying\", 3], [\"lying\", 6], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"lying\", 5]], [\"lying\", 7]], [\"an... | {"split": "train", "index": 16231} |
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, Grace, Owen, Zoey, Joseph, Abigail, Isabella, Logan, and Ella. Henry told you that (if (if Isabella is a fool then Owen is a fool) then (Ella is a f... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 676, \"statements\": [[\"or\", [\"->\", [\"->\", [\"lying\", 6], [\"lying\", 2]], [\"not\", [\"telling-truth\", 8]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"->\", [... | {"split": "train", "index": 16232} |
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: Oliver, Noah, Olivia, Mia, Ella, Emma, Harper, William, and Scarlett. According to Oliver, \"(it is not the case that (if Harper is an angel then Emma ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 677, \"statements\": [[\"or\", [\"not\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 5]]], [\"<=>\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 1]], [\"lying\", 4]]], [\"not\", [\"or\", [\"<=>\", [\"lying\", 6], [\... | {"split": "train", "index": 16233} |
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: Benjamin, Daniel, Samuel, Liam, Emily, Joseph, Abigail, Mia, and Zoey. Benjamin stated, \"((Joseph is a saint) if and only if (Benjamin is a saint an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 678, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"lying\", 5]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"lying\", 7]], [\"and\", [\"lying\", 7], [\"telling-truth\"... | {"split": "train", "index": 16234} |
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: Emma, Lily, Liam, Sophia, Aurora, Chloe, Owen, Aiden, and Amelia. As Emma put it, \"(it is not the case that (if Owen is a fool then Aiden is a fool)) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 679, \"statements\": [[\"and\", [\"not\", [\"->\", [\"lying\", 6], [\"lying\", 7]]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 6]], [\"or\", [\"telling-truth\", 8], [\"lying\", 6], [\"telling-truth\", 6]]]], [\"<... | {"split": "train", "index": 16235} |
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, Grace, Lily, Amelia, Owen, Harper, Ava, Scarlett, and Luke. \"(it is not the case that (Luke is a knight or Grace is a knave or Lily is a knave)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 680, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 8], [\"lying\", 1], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"or\", [\"lying\", 6], [\"lying\", 4], [\"lying... | {"split": "train", "index": 16236} |
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: Emma, Luke, Chloe, Sebastian, Jack, Zoey, Victoria, Jacob, and Evelyn. \"if ((Jacob is a laggard) and (Luke is a pioneer and Emma is a pioneer ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 681, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 5]], [\"<=>... | {"split": "train", "index": 16237} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Aiden, Evelyn, Grace, Michael, Samuel, Alexander, Emma, Noah, and Aria. Aiden remarked, \"Evelyn is a devil\". Evelyn asserted: \"if (it is not the cas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 682, \"statements\": [[\"lying\", 1], [\"->\", [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 5], [\"lying\", 0], [\"lying\", 3]], [\"or\", [\"telling-truth\", 7], [\"lying\", 2], [\"telli... | {"split": "train", "index": 16238} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: William, Mason, Olivia, Sebastian, Ethan, Samuel, Liam, Noah, and Grace. William commented, \"((Ethan is a knave) or (Noah is a knave or Grace is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 683, \"statements\": [[\"or\", [\"or\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 7], [\"telling-truth\", 8]]], [\"not\", [\"telling-truth\", 8]], [\"and\", [\"and\", [\"telling-truth\", 8], [\"lying\", 7], [\"ly... | {"split": "train", "index": 16239} |
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: James, Scarlett, Harper, Aria, Henry, William, Aurora, Alexander, and Emily. James expressed that it is not the case that ((William is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 684, \"statements\": [[\"not\", [\"and\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]], [\"lying\", 6]]], [\"lying\", 7], [\"not\", [\"lying\", 6]], [\"or\", [\"n... | {"split": "train", "index": 16240} |
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, Emily, Mason, Henry, Penelope, Michael, Isabella, William, and Sofia. In a statement by Daniel: \"Emily is an angel\". Emily remarked, \"Sofia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 685, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"telling-truth\", 8], [\"<=>\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 7], [\"lying\", 7]]]], [... | {"split": "train", "index": 16241} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Henry, Harper, Elizabeth, Liam, Aria, Joseph, Jacob, Oliver, and Avery. Henry stated, \"(if (Aria is a devil) then (Aria is an angel)) or ((if Liam is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 686, \"statements\": [[\"or\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 4]]], [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 6], [\"lying\", 2... | {"split": "train", "index": 16242} |
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: Daniel, Henry, Sebastian, Jacob, Elizabeth, Owen, Grace, Lily, and Ella. Daniel said that if ((Henry is a knight and Sebastian is a knave) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 687, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2]], [\"->\", [\"lying\", 1], [\"telling-truth\", 5]]], [\"lying\", 7]], [\"and\", [\"not\", [\"->\", [\"lying\", 3], [\"lying\", 5]]], [\"... | {"split": "train", "index": 16243} |
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, Victoria, Sofia, Harper, Samuel, Charlotte, Liam, James, and Michael. David noted, \"if (Victoria is a pioneer and (Liam is a laggard if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 688, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"<=>\", [\"lying\", 6], [\"lying\", 7]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 0]]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"<=>\", [\"... | {"split": "train", "index": 16244} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Benjamin, Abigail, Michael, Emily, Aiden, Mason, Lucas, Ethan, and Isabella. \"(it is not the case that (Ethan is a sage)) and Michael is a sage,\" Benjami... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 689, \"statements\": [[\"and\", [\"not\", [\"not\", [\"lying\", 7]]], [\"telling-truth\", 2]], [\"not\", [\"and\", [\"lying\", 5], [\"or\", [\"lying\", 3], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 4]]]], [\"not\"... | {"split": "train", "index": 16245} |
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, Jack, Emily, William, Zoey, Aria, Logan, Chloe, and Abigail. Liam expressed that (if (Jack is a knave) then (Chloe is a knave if and only if Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 690, \"statements\": [[\"and\", [\"->\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 7], [\"lying\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 1], [\"lying\", 5]]], [\"or\", [\... | {"split": "train", "index": 16246} |
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, Jacob, Zoey, Michael, Isabella, Abigail, Aurora, Riley, and Scarlett. Logan expressed that if (Isabella is a fool) then ((Abigail is a sage if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 691, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 4], [\"lying\", 5], [\"telling-truth\", 2]], [\"not\", [\"telli... | {"split": "train", "index": 16247} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Alexander, Aiden, Owen, Victoria, Lucas, Riley, Mason, Lily, and Mia. \"it is not the case that (if Aiden is an egoist then (if Mia is an egois... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 692, \"statements\": [[\"not\", [\"->\", [\"lying\", 1], [\"->\", [\"lying\", 8], [\"lying\", 2]]]], [\"and\", [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 7]]], [\"or\", [\"or\", [\"lying\", 8], [\"telling-truth\", ... | {"split": "train", "index": 16248} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: James, Luke, Lily, Lucas, Aria, Zoey, Penelope, Avery, and Jackson. James was heard saying, \"((Lily is a fool if and only if James is a sage) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 693, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 5], [\"lying\", 2], [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"telling-truth\", 7]]]], [\"->\", [\... | {"split": "train", "index": 16249} |
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: Grace, Sebastian, Benjamin, Oliver, Charlotte, Scarlett, Riley, Aiden, and Evelyn. Grace told you that (it is not the case that (Charlotte is a fool and Ch... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 694, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"lying\", 8], [\"telling-truth\", 0], [\"telling-truth\", 8]]]], [\"<=>\", [\"or\", [\"->\", [\"lying\", 7], [\... | {"split": "train", "index": 16250} |
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, Aria, Michael, Jacob, Noah, Avery, Mia, Jack, and David. Logan noted, \"it is not the case that (Noah is a knight)\". In Aria's words: \"(if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 695, \"statements\": [[\"not\", [\"not\", [\"lying\", 4]]], [\"<=>\", [\"->\", [\"->\", [\"lying\", 6], [\"telling-truth\", 7]], [\"and\", [\"lying\", 5], [\"lying\", 3]]], [\"lying\", 5]], [\"->\", [\"telling-truth\", 7], [\"... | {"split": "train", "index": 16251} |
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, Emma, Henry, Avery, Isabella, Matthew, Sebastian, Logan, and Michael. Amelia was heard saying, \"if (if (Sebastian is an egoist or Loga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 696, \"statements\": [[\"->\", [\"->\", [\"or\", [\"lying\", 6], [\"lying\", 7]], [\"->\", [\"lying\", 8], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"lying\", 8], [\"telling-truth\", 6], [\"telling-truth\", 3]]]], [\"lyi... | {"split": "train", "index": 16252} |
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, James, Emily, Emma, Abigail, Grace, Isabella, Victoria, and Henry. David stated, \"it is not the case that ((Emma is a knave or James is a kna... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 697, \"statements\": [[\"not\", [\"or\", [\"or\", [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]]]], [\"telling-truth\", 8], [\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-tr... | {"split": "train", "index": 16253} |
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, Emma, Chloe, Abigail, Mia, Harper, Emily, Matthew, and Benjamin. According to Penelope, \"(it is not the case that (Harper is a villain)) i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 698, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 5]]], [\"or\", [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]]], [\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 7], [\"lying\... | {"split": "train", "index": 16254} |
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, Amelia, Ava, Aurora, Avery, Evelyn, Jackson, Michael, and Emily. Henry noted, \"(if (Aurora is a knave) then (if Emily is a knave then Emily i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 699, \"statements\": [[\"and\", [\"->\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 8], [\"telling-truth\", 8]]], [\"not\", [\"and\", [\"telling-truth\", 5], [\"lying\", 1], [\"telling-truth\", 7]]], [\"not\", [\"... | {"split": "train", "index": 16255} |
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, Evelyn, Henry, Lucas, Abigail, Ella, Alexander, William, and Olivia. As Mia put it, \"(if Ella is a sinner then (Mia is a sinner)) or (it is not... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 700, \"statements\": [[\"or\", [\"->\", [\"lying\", 5], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"lying\", 1]]], [\"telling-truth\", 1]], [\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\"... | {"split": "train", "index": 16256} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Amelia, Joseph, Alexander, Penelope, Evelyn, Sofia, William, Henry, and Emma. Amelia commented, \"Evelyn is a sage if and only if ((Joseph is a sage or Wil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 701, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 6]], [\"->\", [\"lying\", 3], [\"lying\", 4]]]], [\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 7], [\"tel... | {"split": "train", "index": 16257} |
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, Mia, Samuel, David, Oliver, Charlotte, Evelyn, James, and Grace. Scarlett expressed that it is not the case that ((Oliver is a sage and Mia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 702, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 1]]]], [\"not\", [\"not\", [\"not\", [\"lying\", 6]]]], [\"telling-truth\", 3],... | {"split": "train", "index": 16258} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Chloe, William, Lily, Jack, Matthew, Ava, Logan, Michael, and Noah. \"it is not the case that (it is not the case that (Ava is a hero and Chloe is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 703, \"statements\": [[\"not\", [\"not\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 0]]]], [\"lying\", 3], [\"telling-truth\", 5], [\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"or... | {"split": "train", "index": 16259} |
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, Oliver, Owen, Mason, Ella, William, Emma, Aria, and Lucas. As Ethan put it, \"Aria is a pioneer\". Oliver said that ((if Aria is a pione... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 704, \"statements\": [[\"telling-truth\", 7], [\"and\", [\"and\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 7], [\"lying\"... | {"split": "train", "index": 16260} |
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, Oliver, Amelia, Luke, Lucas, Evelyn, Lily, William, and Jack. \"it is not the case that (if (Luke is an angel and Amelia is a devil) then (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 705, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2]], [\"->\", [\"lying\", 5], [\"lying\", 8]]]], [\"or\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 0], [\"and\", [\"telling-tru... | {"split": "train", "index": 16261} |
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, Isabella, Aurora, Elizabeth, Harper, Oliver, Luke, Owen, and Olivia. Sophia stated, \"Elizabeth is a fool or ((Oliver is a sage or Harper is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 706, \"statements\": [[\"or\", [\"lying\", 3], [\"or\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]]], [\"->\", [\"or\", [\"and\", [\"te... | {"split": "train", "index": 16262} |
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, Mason, Sebastian, Charlotte, Joseph, Ella, Lucas, Jacob, and Jackson. Victoria asserted: \"if (if (Victoria is an angel or Sebastian is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 707, \"statements\": [[\"->\", [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"lying\", 6], [\"telling-truth\", 2]], [\"or\", [\"lying\", 1], [\"telli... | {"split": "train", "index": 16263} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Abigail, Chloe, Olivia, Riley, William, Matthew, Alexander, Owen, and Grace. \"Owen is a sage,\" Abigail declared. Chloe commented, \"if ((Riley is a fool ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 708, \"statements\": [[\"not\", [\"lying\", 7]], [\"->\", [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 3]]], [\"lying\", 4]], [\"->\", [\"not\", [\"and\", [... | {"split": "train", "index": 16264} |
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: Victoria, Luke, Oliver, Aria, Abigail, Penelope, Emily, Alexander, and Evelyn. According to Victoria, \"Oliver is a fool\". \"(it is not the case that (Eve... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 709, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"not\", [\"and\", [\"lying\", 8], [\"lying\", 7], [\"lying\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 5]], [\"lying\", 5]]], [\"->\", [... | {"split": "train", "index": 16265} |
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: Scarlett, Sofia, James, Mason, Henry, Emma, Jack, Sophia, and Matthew. \"((Matthew is a devil or Mason is a devil or James is an angel) or (Matthew is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 710, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"lying\", 8], [\"lying\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 8]]], [\"<=>\", [\"->\", [\"lying\", 6], [\"lying\", 3]], [\"and\", [\"telling-truth\", 8... | {"split": "train", "index": 16266} |
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, Lucas, Victoria, Samuel, Logan, Sofia, Owen, Jack, and Abigail. Sophia stated, \"if Samuel is a fool then (Victoria is a fool)\". Lucas told you th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 711, \"statements\": [[\"->\", [\"lying\", 3], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 8]], [\"not\", [\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 7], [\"t... | {"split": "train", "index": 16267} |
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: Sophia, Penelope, David, Liam, Mia, Luke, Chloe, Daniel, and Emily. As Sophia put it, \"if (Sophia is a pioneer and (Emily is a pioneer and Chl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 712, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 8], [\"lying\", 6], [\"telling-truth\", 7]]], [\"->\", [\"or\", [\"lying\", 2], [\"lying\", 6], [\"telling-truth\", 1]], [\"and\", ... | {"split": "train", "index": 16268} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Sofia, James, Sophia, Jackson, Lucas, Michael, Lily, Olivia, and Ava. Sofia stated, \"if (if (Lily is a villain or Michael is a hero) then (if Olivia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 713, \"statements\": [[\"->\", [\"->\", [\"or\", [\"lying\", 6], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 7], [\"lying\", 6]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"telling-truth\... | {"split": "train", "index": 16269} |
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, Avery, Grace, Michael, Elizabeth, Daniel, Victoria, Sofia, and James. As Emily put it, \"(it is not the case that (Daniel is a hero if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 714, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 0]]], [\"telling-truth\", 1], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 7]], [\"<=>\", [\"lying\", 1], [\"lying\", 5]... | {"split": "train", "index": 16270} |
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, Olivia, Abigail, Elizabeth, David, Isabella, Oliver, Evelyn, and Emily. Owen expressed that Elizabeth is an altruist if and only if (if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 715, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"->\", [\"or\", [\"telling-truth\", 7], [\"lying\", 1], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 7], [\"lying\", 2]]]], [\"->\", [\"lying\", 6], [\"lying\", 3]], ... | {"split": "train", "index": 16271} |
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: Liam, Jackson, Alexander, Emma, David, Penelope, Chloe, Harper, and Grace. Liam was heard saying, \"(David is a pioneer if and only if (Grace i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 716, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 2]]]], [\"or\", [\... | {"split": "train", "index": 16272} |
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, Abigail, Zoey, Elizabeth, William, Ethan, Ava, Benjamin, and Evelyn. Jack asserted: \"if (if Abigail is an altruist then (Abigail is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 717, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 5]], [\"not\", [\"telling-truth\", 6]]]], [\"and... | {"split": "train", "index": 16273} |
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, Sofia, Mia, Jack, Ava, Jacob, Noah, Logan, and Emma. Matthew remarked, \"(it is not the case that (Noah is a laggard if and only if Av... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 718, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"lying\", 5], [\"telling-truth\", 2], [\"lying\", 4]], [\"lying\", 3], [\"<=>\", [\"telling-truth\", 5], [\"tel... | {"split": "train", "index": 16274} |
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, Harper, Zoey, Abigail, Lily, Ella, Avery, Samuel, and Emily. Mia said, \"Emily is a knave.\" \"it is not the case that ((Mia is a knight or Zoey... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 719, \"statements\": [[\"lying\", 8], [\"not\", [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\", 3]], [\"not\", [\"telling-truth\", 8]]]], [\"not\", [\"telling-truth\", 7]], [\"or\", [\"<=>\", [\"... | {"split": "train", "index": 16275} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Henry, Samuel, Oliver, Owen, Jack, William, Riley, Sofia, and Aiden. \"if ((Sofia is an altruist or Jack is an egoist) if and only if (Henry is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 720, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 7], [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 4]]], [\"->\", [\"<=... | {"split": "train", "index": 16276} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Grace, Aurora, Jack, Aria, Riley, Henry, Luke, Chloe, and Harper. Grace told you that ((if Aurora is a devil then Henry is a devil) or Luke is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 721, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"lying\", 1], [\"lying\", 5]], [\"telling-truth\", 6], [\"telling-truth\", 3]], [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"tellin... | {"split": "train", "index": 16277} |
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, Luke, Benjamin, Michael, Sebastian, Ava, Liam, Scarlett, and Daniel. According to Jacob, \"it is not the case that (if (Liam is a fool or Michael is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 722, \"statements\": [[\"not\", [\"->\", [\"or\", [\"lying\", 6], [\"telling-truth\", 3]], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 3], [\"lying\", 6]]]], [\"or\", [\"<... | {"split": "train", "index": 16278} |
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, Penelope, Evelyn, James, Samuel, Grace, Daniel, Joseph, and Logan. As Sofia put it, \"(Grace is a fool) if and only if Samuel is a fool\". In Penelo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 723, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"lying\", 4]], [\"<=>\", [\"and\", [\"not\", [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"lying\", 3]], [\"<=>\", [\"and\", [\"lyi... | {"split": "train", "index": 16279} |
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: Sebastian, Benjamin, Ethan, Aiden, Joseph, Lily, Matthew, Penelope, and David. As Sebastian put it, \"(if (Benjamin is a knight) then (Ethan is a kna... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 724, \"statements\": [[\"and\", [\"->\", [\"not\", [\"lying\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"lying\", 3], [\"->\", [\"not\", [\"lying\", 8]], [\"telling-truth\", 8]]], [\"<=>\", [\"or\", [\"<=>\", [\"telling-trut... | {"split": "train", "index": 16280} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Victoria, Olivia, David, Avery, Chloe, Michael, Jack, Emily, and Scarlett. Victoria commented, \"(it is not the case that (Jack is a knave or Chloe i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 725, \"statements\": [[\"or\", [\"not\", [\"or\", [\"lying\", 6], [\"lying\", 4], [\"telling-truth\", 8]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 6], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 7], [... | {"split": "train", "index": 16281} |
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, Sofia, Ella, Avery, Jacob, Sophia, Abigail, Zoey, and Mason. \"if (it is not the case that (Logan is an angel or Jacob is an angel or Sofia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 726, \"statements\": [[\"->\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 1]]], [\"telling-truth\", 6]], [\"or\", [\"or\", [\"or\", [\"lying\", 8], [\"lying\", 6], [\"telling-truth\", 3]], [... | {"split": "train", "index": 16282} |
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, Riley, Lily, Matthew, Sophia, Oliver, Grace, David, and Ethan. \"if ((David is an egoist if and only if Ethan is an egoist) and (Sophia i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 727, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"lying\", 7], [\"lying\", 8]], [\"or\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 6], [\"lying\", 2], [\"lying\", 4]]], [\"and\"... | {"split": "train", "index": 16283} |
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: Sofia, Sebastian, Henry, Olivia, Ella, James, Lucas, Aria, and Grace. \"((Lucas is an angel and Sebastian is a devil and Sofia is an angel) and (Aria i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 728, \"statements\": [[\"or\", [\"and\", [\"and\", [\"telling-truth\", 6], [\"lying\", 1], [\"telling-truth\", 0]], [\"or\", [\"lying\", 7], [\"lying\", 3], [\"telling-truth\", 4]], [\"->\", [\"lying\", 2], [\"lying\", 1]]], [... | {"split": "train", "index": 16284} |
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: Ella, Liam, Aria, Joseph, Logan, Riley, Sebastian, Michael, and Sofia. \"if Michael is a knight then Liam is a knave,\" Ella claimed. Liam said, \"if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 729, \"statements\": [[\"->\", [\"telling-truth\", 7], [\"lying\", 1]], [\"->\", [\"not\", [\"->\", [\"lying\", 5], [\"lying\", 7]]], [\"and\", [\"not\", [\"lying\", 0]], [\"telling-truth\", 0]]], [\"<=>\", [\"and\", [\"or\", ... | {"split": "train", "index": 16285} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Mason, James, Lucas, Oliver, Chloe, Avery, Jack, Victoria, and Benjamin. \"Oliver is an egoist,\" Mason claimed. James stated, \"it is not the ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 730, \"statements\": [[\"lying\", 3], [\"not\", [\"or\", [\"or\", [\"lying\", 7], [\"telling-truth\", 5], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 6], [\"lying\", 7]]]], [\"or\", [\"not\",... | {"split": "train", "index": 16286} |
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: Joseph, Henry, Mason, Sebastian, Ella, Emma, Mia, James, and Charlotte. In a statement by Joseph: \"if ((if Sebastian is a sage then Charlotte is a sage) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 731, \"statements\": [[\"->\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"lying\", 2], [\"not\", [\"lying\", 5]]], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"not\", [\"->\", [\"->\", [\"ly... | {"split": "train", "index": 16287} |
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: Penelope, Lily, Sofia, Victoria, Alexander, Oliver, Jacob, Avery, and Lucas. As Penelope put it, \"if ((Jacob is an egoist if and only if Lily ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 732, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"lying\", 6], [\"lying\", 1]], [\"not\", [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"lying\", 7], [\"<=>\", [\"lying\", 4], [\"lying\", 1]], [\"... | {"split": "train", "index": 16288} |
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, Olivia, Emma, Mia, Liam, Chloe, Zoey, Victoria, and Scarlett. According to Amelia, \"(if (Emma is an egoist or Scarlett is an egoist or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 733, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"lying\", 2], [\"lying\", 8], [\"lying\", 7]], [\"->\", [\"telling-truth\", 6], [\"lying\", 7]]], [\"->\", [\"<=>\", [\"lying\", 6], [\"lying\", 4]], [\"->\", [\"lying\", 4],... | {"split": "train", "index": 16289} |
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: Elizabeth, Luke, Samuel, Scarlett, Mia, Olivia, Michael, Evelyn, and Liam. \"(if (Liam is a laggard) then (Elizabeth is a pioneer if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 734, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 5]]], [\"not\", [\"not\", [\"lying\", 6]]]], [\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 2],... | {"split": "train", "index": 16290} |
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, Daniel, Grace, Jacob, Joseph, Emma, Jackson, Avery, and Mia. \"it is not the case that (if (Jackson is an egoist and Grace is an egoi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 735, \"statements\": [[\"not\", [\"->\", [\"and\", [\"lying\", 6], [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 6], [\"telling-truth\", 0]]]], [\"lying\", 2], [\"lying\", 1], [\"->\", [\"lying\... | {"split": "train", "index": 16291} |
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, Olivia, Scarlett, Lily, Amelia, Evelyn, Ava, Samuel, and Sofia. Aria said, \"(it is not the case that (Ava is an egoist)) if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 736, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 6]]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]]]], [\"->\", [\"<=>\", [\"<=>\"... | {"split": "train", "index": 16292} |
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, Mason, Lily, Liam, Noah, Emma, William, Luke, and Ethan. Jack said that Lily is a pioneer. Mason remarked, \"((Ethan is a laggard and Luk... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 737, \"statements\": [[\"not\", [\"lying\", 2]], [\"or\", [\"or\", [\"and\", [\"lying\", 8], [\"lying\", 7], [\"lying\", 6]], [\"or\", [\"telling-truth\", 5], [\"lying\", 4]]], [\"lying\", 8]], [\"<=>\", [\"<=>\", [\"telling-t... | {"split": "train", "index": 16293} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Riley, Scarlett, Oliver, Aiden, Grace, Lucas, Owen, Aurora, and Chloe. In a statement by Riley: \"Aurora is a pioneer\". Scarlett told you that... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 738, \"statements\": [[\"not\", [\"lying\", 7]], [\"->\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"<=>\", [\"lying\", 7], [\"lying\", 6]], [\"not\", [\"lying\", 6]]]], [\"not\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"o... | {"split": "train", "index": 16294} |
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, Grace, Riley, Logan, Matthew, Sebastian, Chloe, Penelope, and Evelyn. In Aiden's words: \"(Sebastian is a knight if and only if (if Chloe is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 739, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 5], [\"->\", [\"telling-truth\", 6], [\"lying\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"lying\", 5], [\"telling-truth\", 6]]],... | {"split": "train", "index": 16295} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Harper, Amelia, Michael, Emily, Liam, Zoey, Scarlett, Lucas, and Penelope. Harper expressed that (it is not the case that (Zoey is a saint or Liam is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 740, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 1], [\"lying\", 6], [\"telli... | {"split": "train", "index": 16296} |
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: Aiden, Benjamin, Liam, Sofia, Evelyn, Ella, Avery, Noah, and Logan. Aiden was heard saying, \"it is not the case that (it is not the case that (Sofia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 741, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 8]]]], [\"and\", [\"lying\", 3], [\"lying\", 2], [\"and\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"telling-... | {"split": "train", "index": 16297} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Aurora, Zoey, Joseph, Riley, Lucas, Ethan, Oliver, Abigail, and Henry. Aurora stated, \"Lucas is a sage or (if (Lucas is a fool) then (if Aurora is a sage ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 742, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 6]]]], [\"not\", [\"or\", [\"or\", [\"telling-truth\", 7], [\"telling-trut... | {"split": "train", "index": 16298} |
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: Mia, Sebastian, Ella, Aria, Alexander, Noah, Mason, Michael, and Isabella. \"(Isabella is a hero) and (it is not the case that (Isabella is a hero or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 743, \"statements\": [[\"and\", [\"not\", [\"lying\", 8]], [\"not\", [\"or\", [\"telling-truth\", 8], [\"lying\", 8]]]], [\"and\", [\"not\", [\"lying\", 6]], [\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"or\", [\"lying\", 6]... | {"split": "train", "index": 16299} |
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