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 heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Sebastian, Riley, James, Avery, Sofia, Emily, Noah, Jacob, and Charlotte. As Sebastian put it, \"if Noah is a villain then (it is not the case that (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1466, \"statements\": [[\"->\", [\"lying\", 6], [\"not\", [\"not\", [\"lying\", 3]]]], [\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 0]]], [... | {"split": "train", "index": 14800} |
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, Joseph, Sophia, Mia, Jacob, Ethan, Ella, Matthew, and Evelyn. In a statement by Victoria: \"((Mia is an egoist and Sophia is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1467, \"statements\": [[\"or\", [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"telling-truth\", 8]], [\"lying\", 2], [\"<=>\", [\"telling-truth\", 6], ... | {"split": "train", "index": 14801} |
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, Sophia, Samuel, Evelyn, Sebastian, Jack, Scarlett, Ava, and Penelope. In Noah's words: \"(if (Samuel is an altruist or Sophia is an egois... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1468, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 6]]], [\"not\", [\"and\", [\"lying\", 7], [\"telling-truth\", 3]]]], [\"not\", [\... | {"split": "train", "index": 14802} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Lily, Oliver, Ethan, Charlotte, Sofia, Aiden, David, Daniel, and Evelyn. Lily asserted: \"(it is not the case that (Evelyn is a villain)) or (if (Sof... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1469, \"statements\": [[\"or\", [\"not\", [\"not\", [\"telling-truth\", 8]]], [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 6]], [\"->\", [\"telling-truth\", 5], [\"lying\", 5]]]], [\"or\", [\"<=>\", [\"<=>\", [\"telling-trut... | {"split": "train", "index": 14803} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Sebastian, Joseph, Penelope, Lucas, Daniel, Owen, Harper, Aurora, and Riley. Sebastian commented, \"Owen is a sinner if and only if ((Owen is a sinne... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1470, \"statements\": [[\"<=>\", [\"lying\", 5], [\"and\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 2], [\"lying\", 7]]]], [\"telling-truth\", 4], [\"and\", [\"->\", [\"not\", [\"telling-... | {"split": "train", "index": 14804} |
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: Charlotte, Isabella, Samuel, Sofia, Chloe, Aurora, Sebastian, Ethan, and Michael. In Charlotte's words: \"if (if (Isabella is a villain and Ethan is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1471, \"statements\": [[\"->\", [\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 1], [\"lying\", 6]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]]]], [\"<=>\", [\"lying\... | {"split": "train", "index": 14805} |
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, Charlotte, Luke, Victoria, Chloe, Emma, Jacob, Penelope, and Liam. \"(it is not the case that (if Emma is an altruist then Charlotte is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1472, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 5], [\"lying\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]]], [\"and\", [\"->\", [\"or\", [\"lyi... | {"split": "train", "index": 14806} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Avery, James, Ava, Aiden, Benjamin, Penelope, Grace, Scarlett, and Henry. Avery told you that Scarlett is a pioneer or ((Grace is a laggard) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1473, \"statements\": [[\"or\", [\"telling-truth\", 7], [\"<=>\", [\"not\", [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 8], [\"lying\", 1]]]], [\"->\", [\"<=>\", [\"and\", [\"lying\", 0], [\"telling-truth\", 1]], [\... | {"split": "train", "index": 14807} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Aurora, James, Zoey, Mia, Lucas, Elizabeth, Evelyn, Matthew, and Aiden. Aurora said that (James is a pioneer if and only if (if Matthew is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1474, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"->\", [\"lying\", 7], [\"lying\", 8]]], [\"or\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"and\", [\"lying\", 2], [\"telling-truth\", 8]... | {"split": "train", "index": 14808} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Benjamin, Sebastian, Owen, Isabella, Ava, Oliver, Riley, Ella, and Scarlett. According to Benjamin, \"((Sebastian is a hero if and only if Oliver is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1475, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 5]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 6]]]], [\... | {"split": "train", "index": 14809} |
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, Ethan, Avery, Lucas, Samuel, Ava, Zoey, Emma, and Luke. \"((Ava is a knight and Samuel is a knave) if and only if (if Zoey is a knight then S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1476, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 5], [\"lying\", 4]], [\"->\", [\"telling-truth\", 6], [\"lying\", 4]]], [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 7]], [\"or\", [\"telling-truth\",... | {"split": "train", "index": 14810} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Luke, Jacob, Henry, Michael, Penelope, Oliver, James, Sebastian, and Matthew. Luke expressed that (Penelope is a devil) and (if (Jacob is a devil or Lu... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1477, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0]], [\"and\", [\"lying\", 1], [\"lying\", 5]]]], [\"or\", [\"<=>\", [\"<=>\", [\"lying\", 7], [\"lying\... | {"split": "train", "index": 14811} |
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, Joseph, Henry, Oliver, Sebastian, Aria, Owen, Matthew, and Riley. \"it is not the case that ((Henry is a fool and Riley is a fool) if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1478, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"lying\", 2], [\"lying\", 8]], [\"telling-truth\", 1]]], [\"lying\", 3], [\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 6], [\"telling-truth\"... | {"split": "train", "index": 14812} |
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: Aria, Jack, Mia, Sofia, Victoria, Matthew, Mason, Luke, and Ella. In Aria's words: \"((if Victoria is a villain then Luke is a hero) or (if Matthew i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1479, \"statements\": [[\"or\", [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 5], [\"lying\", 5]]], [\"or\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 0]], [\"<=>\", [\"tell... | {"split": "train", "index": 14813} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Jack, Benjamin, Oliver, Logan, Ethan, Sophia, Riley, Jacob, and Chloe. Jack expressed that ((Oliver is a knight) if and only if (if Jacob is a knave ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1480, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 7], [\"telling-truth\", 6]]], [\"or\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 4]], [\"telling-truth\", 0]]], [\"or\", [\"not\", ... | {"split": "train", "index": 14814} |
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, Samuel, Logan, Aurora, Noah, Aiden, Scarlett, Isabella, and Liam. \"Logan is an egoist if and only if (if (if Logan is an altruist then A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1481, \"statements\": [[\"<=>\", [\"lying\", 2], [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"and\", [\"lying\", 6], [\"telling-truth\", 5]], [\"or\", [\"te... | {"split": "train", "index": 14815} |
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, Penelope, Liam, Henry, Olivia, Abigail, Amelia, William, and Logan. \"(Samuel is a sage or (Amelia is a fool if and only if Abigail is a fool)) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1482, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 0], [\"<=>\", [\"lying\", 6], [\"lying\", 5]]], [\"->\", [\"->\", [\"lying\", 7], [\"telling-truth\", 2]], [\"lying\", 2]]], [\"lying\", 7], [\"or\", [\"->\", [\"an... | {"split": "train", "index": 14816} |
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, Sofia, Noah, Harper, Ella, Jacob, Zoey, Alexander, and Jackson. \"(Jacob is an altruist and (Noah is an egoist)) if and only if ((Zoey is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1483, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 5], [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"and\", [\"lying\", 6], [\"lying\", 1]], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"or\", [\"telling-truth... | {"split": "train", "index": 14817} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Emma, Evelyn, Grace, Charlotte, Lucas, Abigail, Victoria, Sophia, and Ava. Emma asserted: \"(Abigail is a hero or (Grace is a hero or Lucas is a hero... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1484, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 5], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 5]]]]... | {"split": "train", "index": 14818} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Harper, Grace, Aiden, Jacob, Luke, Jack, Victoria, Oliver, and Alexander. \"if ((Oliver is a sage and Grace is a sage) or (Victoria is a fool)) then (it is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1485, \"statements\": [[\"->\", [\"or\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 6]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 5]]]], [\"lying\", 8], [\"<=>\", [\... | {"split": "train", "index": 14819} |
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: Mason, Michael, Alexander, Ethan, Evelyn, Avery, Aurora, Joseph, and Logan. Mason remarked, \"(it is not the case that (if Ethan is a pioneer t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1486, \"statements\": [[\"or\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 7]]], [\"<=>\", [\"telling-truth\", 6], [\"or\", [\"lying\", 5], [\"lying\", 7]]]], [\"or\", [\"->\", [\"lying\", 8], [\"<=>\", [\"telling-... | {"split": "train", "index": 14820} |
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: Owen, Ella, Scarlett, Michael, Logan, Henry, Mia, David, and Ethan. \"David is a fool and (if (David is a sage and Scarlett is a fool) then (Mia is a fool ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1487, \"statements\": [[\"and\", [\"lying\", 7], [\"->\", [\"and\", [\"telling-truth\", 7], [\"lying\", 2]], [\"and\", [\"lying\", 6], [\"telling-truth\", 7]]]], [\"<=>\", [\"and\", [\"not\", [\"lying\", 3]], [\"not\", [\"tell... | {"split": "train", "index": 14821} |
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: Jacob, Mason, Charlotte, Sofia, Ethan, Lucas, Owen, Michael, and Matthew. As Jacob put it, \"Sofia is a hero if and only if Michael is a villain\". I... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1488, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"lying\", 7]], [\"->\", [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"lying\", ... | {"split": "train", "index": 14822} |
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: Zoey, Riley, Aria, Luke, Michael, Aiden, Logan, Penelope, and Emma. \"it is not the case that (Emma is a knave and (Aria is a knave)),\" Zoey mention... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1489, \"statements\": [[\"not\", [\"and\", [\"lying\", 8], [\"not\", [\"telling-truth\", 2]]]], [\"and\", [\"->\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 1]], [\"not\", [\"lying\", 4]]], [\"not\", [\"<=>\", [\"ly... | {"split": "train", "index": 14823} |
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, James, Emily, Sofia, Mason, Aria, Oliver, Victoria, and Samuel. As Ethan put it, \"Victoria is an angel\". As James put it, \"if ((Emily is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1490, \"statements\": [[\"telling-truth\", 7], [\"->\", [\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4]], [\"not\", [\"lying\", 0]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"->\", [\"lying\", 5]... | {"split": "train", "index": 14824} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Liam, Abigail, Penelope, Avery, Emma, Jacob, Lily, Matthew, and Riley. Liam remarked, \"(it is not the case that (Matthew is a saint or Matthew is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1491, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 7], [\"lying\", 7]]], [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 5]]]], [\"or\", [... | {"split": "train", "index": 14825} |
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: Daniel, Jacob, Joseph, Zoey, Henry, Benjamin, Alexander, Jack, and Logan. Daniel was heard saying, \"Zoey is a saint\". Jacob expressed that ((Joseph... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1492, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"lying\", 0]]], [\"->\", [\"or\", [\"and\", [\"telling-truth\... | {"split": "train", "index": 14826} |
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, Ava, Elizabeth, Victoria, Daniel, William, Mason, Samuel, and Jacob. Benjamin told you that ((if Samuel is a sage then Ava is a sage) or (Mason i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1493, \"statements\": [[\"or\", [\"or\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"not\", [\"lying\", 6]]], [\"not\", [\"not\", [\"lying\", 8]]]], [\"or\", [\"and\", [\"and\", [\"telling-truth\", 6], [\"tell... | {"split": "train", "index": 14827} |
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: Daniel, Emily, Henry, Amelia, Luke, Avery, Mason, Alexander, and Ella. Daniel stated, \"(Ella is a pioneer) or (if (Henry is a pioneer) then (A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1494, \"statements\": [[\"or\", [\"not\", [\"lying\", 8]], [\"->\", [\"not\", [\"lying\", 2]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 6]]]], [\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\... | {"split": "train", "index": 14828} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Michael, Jacob, Scarlett, Sophia, Samuel, Lucas, Riley, Harper, and Abigail. \"if (it is not the case that (Lucas is a sinner or Lucas is a saint)) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1495, \"statements\": [[\"->\", [\"not\", [\"or\", [\"lying\", 5], [\"telling-truth\", 5]]], [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 2], [\"lying\", 5]]]], [\"telling-truth\", 6... | {"split": "train", "index": 14829} |
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: Owen, David, Benjamin, Lucas, Logan, Charlotte, Sofia, Jackson, and Lily. Owen noted, \"(if (Lily is a sage if and only if Benjamin is a sage) then (Sofia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1496, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 6]]], [\"->\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 7]], [\"or\", [\"telling-tr... | {"split": "train", "index": 14830} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Jackson, Lily, Ava, Scarlett, Logan, Avery, Lucas, Aria, and Samuel. Jackson expressed that Aria is a devil and (it is not the case that (Aria is a dev... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1497, \"statements\": [[\"and\", [\"lying\", 7], [\"not\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 4]]]], [\"lying\", 4], [\"or\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"telling-truth\", 7]], [\"... | {"split": "train", "index": 14831} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Ethan, Joseph, Amelia, Logan, Benjamin, Olivia, James, Jacob, and Ella. Ethan said, \"((Jacob is an altruist) if and only if (if Olivia is an e... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1498, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"lying\", 7]], [\"->\", [\"lying\", 5], [\"lying\", 7]]], [\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 6]]]], [\"->\", [\"or\", [\"and\", [\"lying\", 4], [\"lying... | {"split": "train", "index": 14832} |
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, William, Henry, Penelope, Noah, Daniel, Aurora, Isabella, and Owen. Matthew stated, \"if ((Daniel is a knight if and only if William is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1499, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 1]], [\"and\", [\"lying\", 2], [\"lying\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 8], [\"lying\", 1]], [\"and\", [\"telling-truth\",... | {"split": "train", "index": 14833} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Avery, Evelyn, Isabella, Ethan, James, Abigail, Ella, Harper, and Aria. \"Abigail is an altruist and (Ethan is an altruist and (Isabella is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1500, \"statements\": [[\"and\", [\"telling-truth\", 5], [\"and\", [\"telling-truth\", 3], [\"and\", [\"lying\", 2], [\"telling-truth\", 0]]]], [\"and\", [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 7]], [\"not\", [\"... | {"split": "train", "index": 14834} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Charlotte, Lily, Mia, Ethan, James, William, Chloe, Henry, and Emily. In a statement by Charlotte: \"((if Mia is a sage then James is a sage) or Ethan is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1501, \"statements\": [[\"or\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"telling-truth\", 3]], [\"telling-truth\", 6]], [\"or\", [\"or\", [\"->\", [\"lying\", 6], [\"telling-truth\", 3]], [\"not\",... | {"split": "train", "index": 14835} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Daniel, Aurora, Jackson, Chloe, Olivia, Liam, Jacob, Joseph, and Emma. \"(if (Olivia is an altruist or Jacob is an altruist) then (Joseph is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1502, \"statements\": [[\"and\", [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 1]]], [\"<=>\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 5]... | {"split": "train", "index": 14836} |
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: Amelia, Charlotte, Mia, Avery, Oliver, Samuel, Zoey, Sebastian, and Scarlett. Amelia noted, \"Oliver is a hero\". Charlotte said, \"(it is not the ca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1503, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"not\", [\"not\", [\"lying\", 8]]], [\"<=>\", [\"and\", [\"lying\", 6], [\"telling-truth\", 1]], [\"lying\", 7]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"<=>\",... | {"split": "train", "index": 14837} |
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, Ella, Emily, Scarlett, Evelyn, William, Henry, James, and Benjamin. As Victoria put it, \"James is an egoist\". \"it is not the case ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1504, \"statements\": [[\"lying\", 7], [\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 3]], [\"->\", [\"lying\", 7], [\"telling-truth\", 1]]]], [\"or\", [\"or\", [\"or\", [\"telling-truth\", 7], [\"lyi... | {"split": "train", "index": 14838} |
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, Aria, Lily, Harper, Alexander, Michael, Abigail, Oliver, and Lucas. Benjamin stated, \"if (if Lucas is a devil then (if Harper is an angel th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1505, \"statements\": [[\"->\", [\"->\", [\"lying\", 8], [\"->\", [\"telling-truth\", 3], [\"lying\", 8]]], [\"and\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"lying\", 4]]], [\"<=>\", [\"not\", [\"and\", [... | {"split": "train", "index": 14839} |
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, Emily, Chloe, Scarlett, Aiden, Daniel, Elizabeth, Sofia, and Ava. \"(if (Elizabeth is a fool if and only if Elizabeth is a sage) then (Elizabeth is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1506, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 6]]], [\"lying\", 3]], [\"not\", [\"and\", [\"->\", [\"lying\", 7], [\"telling-truth\", 2]], [\"or\", [... | {"split": "train", "index": 14840} |
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, Chloe, Aria, David, Mason, Aurora, Joseph, Oliver, and Lily. \"Joseph is a sage if and only if ((if Joseph is a fool then Aurora is a fool) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1507, \"statements\": [[\"<=>\", [\"telling-truth\", 6], [\"<=>\", [\"->\", [\"lying\", 6], [\"lying\", 5]], [\"not\", [\"telling-truth\", 8]]]], [\"or\", [\"and\", [\"or\", [\"lying\", 5], [\"lying\", 7]], [\"telling-truth\",... | {"split": "train", "index": 14841} |
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, Aria, Lucas, Jackson, Emma, Isabella, Benjamin, Owen, and William. \"Emma is an egoist if and only if (it is not the case that (Jack... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1508, \"statements\": [[\"<=>\", [\"lying\", 4], [\"not\", [\"not\", [\"telling-truth\", 3]]]], [\"lying\", 6], [\"<=>\", [\"not\", [\"->\", [\"lying\", 0], [\"lying\", 5]]], [\"<=>\", [\"telling-truth\", 1], [\"->\", [\"telli... | {"split": "train", "index": 14842} |
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: Charlotte, Elizabeth, Scarlett, Oliver, Ethan, Sebastian, Abigail, David, and James. Charlotte said that it is not the case that ((Sebastian is a devil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1509, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 6]]]], [\"and\", [\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 8]], [\"not\", ... | {"split": "train", "index": 14843} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Jackson, Michael, Abigail, Joseph, Amelia, Grace, Olivia, Evelyn, and Emma. \"Emma is an angel,\" Jackson declared. Michael said that Joseph is a devil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1510, \"statements\": [[\"telling-truth\", 8], [\"lying\", 3], [\"or\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"lying\", 6], [\"->\", [\"telling-truth... | {"split": "train", "index": 14844} |
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: Daniel, Amelia, Avery, Harper, William, Olivia, Ethan, Ella, and Alexander. Daniel asserted: \"Ethan is a sinner\". Amelia noted, \"it is not the cas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1511, \"statements\": [[\"lying\", 6], [\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 8]]]], [\"not\", [\"and\", [\"<=>\", [\"lying\", 4], [\"... | {"split": "train", "index": 14845} |
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: David, Henry, Harper, Olivia, Jacob, Benjamin, Avery, Daniel, and Zoey. \"((Olivia is an angel and Henry is an angel) if and only if (David is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1512, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"lying\", 2]], [\"and\", [\"and\", [\"lying\", 5], [\"<=>\", [... | {"split": "train", "index": 14846} |
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, Victoria, Sophia, Elizabeth, Alexander, Isabella, Samuel, Ethan, and Lily. \"(it is not the case that (Elizabeth is a fool and Isabella is a fool)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1513, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 5]]], [\"lying\", 2]], [\"not\", [\"not\", [\"not\", [\"lying\", 4]]]], [\"or\", [\"->\", [\"and\", [\"telling-truth\", 7], [\"lying\", 3]], [\"a... | {"split": "train", "index": 14847} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Jackson, Scarlett, Samuel, Michael, Aria, Aurora, Avery, Liam, and Evelyn. Jackson said, \"if (if (Michael is a knave or Liam is a knave) then (Avery... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1514, \"statements\": [[\"->\", [\"->\", [\"or\", [\"lying\", 3], [\"lying\", 7]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 5]]], [\"and\", [\"or\", [\"lying\", 7], [\"telling-truth\", 5]], [\"lying\", 1]]], [\"<=... | {"split": "train", "index": 14848} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Ella, Riley, Amelia, Aurora, Emily, Joseph, Sebastian, Abigail, and Lucas. Ella said that if Emily is a villain then ((Lucas is a villain and Joseph ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1515, \"statements\": [[\"->\", [\"lying\", 4], [\"or\", [\"and\", [\"lying\", 8], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 4], [\"lying\", 7]]]], [\"telling-truth\", 8], [\"not\", [\"or\", [\"lying\", 6], [\"<=>\... | {"split": "train", "index": 14849} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Harper, Lily, Benjamin, Aurora, Daniel, Joseph, Olivia, Ethan, and Sofia. Harper was heard saying, \"if ((Harper is an altruist if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1516, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"telling-truth\", 7]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"->... | {"split": "train", "index": 14850} |
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: Abigail, Aurora, Matthew, Ethan, Scarlett, Chloe, Grace, Logan, and Mason. \"(it is not the case that (if Aurora is an altruist then Ethan is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1517, \"statements\": [[\"or\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4]], [\"or\", [\"telling-truth\", 6], [\"lying\", 2]]]], [\"->\", [\"not\", [... | {"split": "train", "index": 14851} |
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, Ava, Amelia, Lucas, Oliver, Abigail, Harper, Avery, and Aiden. Olivia commented, \"((Harper is a sage) and (if Harper is a fool then Abigail is a f... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1518, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"lying\", 6]], [\"->\", [\"lying\", 6], [\"lying\", 5]]], [\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"not\", [\"lying\", 4]]]], [\"and\", [\"<=>\", [\"t... | {"split": "train", "index": 14852} |
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, Grace, Sofia, Abigail, Daniel, Henry, Olivia, William, and Logan. Amelia told you that if (it is not the case that (Logan is a knight and Gra... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1519, \"statements\": [[\"->\", [\"not\", [\"and\", [\"telling-truth\", 8], [\"lying\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]]], [\"or\", [\"<=>\", [\"->\", [\"lying\", 7], [\"telling-truth\"... | {"split": "train", "index": 14853} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Lily, Samuel, Aria, Michael, Daniel, Elizabeth, Amelia, Ava, and Matthew. As Lily put it, \"it is not the case that ((Samuel is a villain) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1520, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 8]]]], [\"not\", [\"and\", [\"not\", [\"lying\", 5]], [\"and\", [\"telling-truth\", 3], [\"telling-tru... | {"split": "train", "index": 14854} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Oliver, Evelyn, Joseph, Noah, Avery, Penelope, Alexander, Daniel, and Liam. Oliver said, \"((Liam is a knave and Oliver is a knight) and (Liam is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1521, \"statements\": [[\"or\", [\"and\", [\"and\", [\"lying\", 8], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 8], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 6]], [\"not\", [\"... | {"split": "train", "index": 14855} |
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, Charlotte, Logan, Mason, Abigail, Daniel, Lily, Elizabeth, and William. Benjamin said, \"((Abigail is a sage or Elizabeth is a fool) and Charlott... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1522, \"statements\": [[\"or\", [\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 7]], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 8], [\"<=>\", [\"lying\", 6], [\"lying\", 5]]]], [\"not\", [\"and\", [\"and\", [... | {"split": "train", "index": 14856} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Grace, Joseph, Ella, Jacob, Zoey, Abigail, Victoria, Ethan, and Aiden. Grace said that Zoey is a saint. As Joseph put it, \"if (Aiden is a sinner) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1523, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"not\", [\"telling-truth\", 8]], [\"->\", [\"or\", [\"lying\", 5], [\"lying\", 6]], [\"lying\", 6]]], [\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 8]... | {"split": "train", "index": 14857} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Harper, Chloe, Logan, Avery, Grace, Charlotte, Evelyn, Benjamin, and Elizabeth. Harper asserted: \"Charlotte is a laggard\". Chloe said that if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1524, \"statements\": [[\"lying\", 5], [\"->\", [\"and\", [\"or\", [\"lying\", 0], [\"lying\", 8]], [\"and\", [\"lying\", 3], [\"telling-truth\", 7]]], [\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 5]]]], [\"->\", [\"->\", [... | {"split": "train", "index": 14858} |
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, Ella, Matthew, Oliver, Henry, David, Penelope, Lily, and Chloe. \"if Penelope is a fool then ((Oliver is a sage and Oliver is a fool) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1525, \"statements\": [[\"->\", [\"lying\", 6], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 8]]]], [\"lying\", 3], [\"or\", [\"and\", [\"lying\", 6], [\"an... | {"split": "train", "index": 14859} |
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, Mia, Chloe, Zoey, Ella, Isabella, Amelia, Abigail, and Elizabeth. \"Elizabeth is a knight and (if (if Zoey is a knave then Chloe is a knight... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1526, \"statements\": [[\"and\", [\"telling-truth\", 8], [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"lying\", 7], [\"telling-truth\", 5]]]], [\"->\", [\"->\", [\"not\", [\"lying\", 7]], [\"->\", [\"l... | {"split": "train", "index": 14860} |
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, Riley, Matthew, Sophia, Emma, Grace, Penelope, Avery, and Abigail. Logan said that Penelope is a sage if and only if Matthew is a fool. Riley told y... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1527, \"statements\": [[\"<=>\", [\"telling-truth\", 6], [\"lying\", 2]], [\"<=>\", [\"<=>\", [\"lying\", 6], [\"and\", [\"lying\", 3], [\"lying\", 8]]], [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 5]], [\"->\", [\"telling-t... | {"split": "train", "index": 14861} |
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, Jack, Jackson, Sofia, Harper, Michael, Abigail, Emma, and Noah. As Ethan put it, \"if (if (if Sofia is a sage then Sofia is a fool) then (Jack is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1528, \"statements\": [[\"->\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"lying\", 1]], [\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"te... | {"split": "train", "index": 14862} |
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, Sebastian, Jackson, Isabella, Aiden, Sofia, Evelyn, Joseph, and Riley. \"if ((Aiden is a villain if and only if Riley is a villain) and (Jose... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1529, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 8]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1]], [\"or\", [\"telling-tru... | {"split": "train", "index": 14863} |
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, Owen, Ethan, Victoria, Alexander, Ava, Noah, Aiden, and Michael. As Abigail put it, \"((Michael is a villain and Michael is a hero) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1530, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"lying\", 8], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"lying\", 5], [\"lying\", 8]], [\"->\", [\"telling-truth\", 1], [\"telling-t... | {"split": "train", "index": 14864} |
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, Chloe, Michael, David, Daniel, Lucas, Aurora, Ava, and Ella. \"(if (if Chloe is a sage then Michael is a sage) then (David is a sage or David is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1531, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"not\", [\"lying\", 6]]], [\"and\", [\"or\", [\"or\", [\"lying\", 2], [\"... | {"split": "train", "index": 14865} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Aiden, Amelia, Emma, Logan, Luke, Elizabeth, Samuel, Noah, and Isabella. Aiden expressed that if (Amelia is a laggard and (if Emma is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1532, \"statements\": [[\"->\", [\"and\", [\"lying\", 1], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 3]], [\"and\", [\"lying\", 5], [\"lying\", 6]]]], [\"->\", [\... | {"split": "train", "index": 14866} |
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, Mia, Amelia, Avery, Matthew, Mason, Jack, Olivia, and Isabella. Harper remarked, \"(Isabella is a knave and Mia is a knave) or (if (Jack is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1533, \"statements\": [[\"or\", [\"and\", [\"lying\", 8], [\"lying\", 1]], [\"->\", [\"not\", [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 6]]]], [\"telling-truth\", 8], [\"<=>\", [\"not\", [\"or\", [... | {"split": "train", "index": 14867} |
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, Victoria, Ava, Aria, Sophia, Charlotte, Liam, Jackson, and Riley. \"((Ava is an egoist and Jackson is an altruist) and (James is an egoi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1534, \"statements\": [[\"or\", [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"lying\", 8]]]], [\"and\"... | {"split": "train", "index": 14868} |
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, William, Samuel, Abigail, Joseph, Ethan, Sofia, Daniel, and Chloe. Aria said, \"(it is not the case that (Abigail is a knave if and only if Chl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1535, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 8]]], [\"and\", [\"telling-truth\", 1], [\"or\", [\"lying\", 7], [\"telling-truth\", 6]]]], [\"telling-truth\", 2], [\"not\", [\"->\", [\"->\", [... | {"split": "train", "index": 14869} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Jackson, Noah, Samuel, Harper, Charlotte, Ethan, Jacob, Daniel, and Olivia. \"Noah is a knave,\" Jackson claimed. Noah said that Ethan is a knave. Ac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1536, \"statements\": [[\"lying\", 1], [\"lying\", 5], [\"telling-truth\", 3], [\"not\", [\"and\", [\"->\", [\"lying\", 1], [\"lying\", 8]], [\"->\", [\"lying\", 1], [\"telling-truth\", 5]]]], [\"and\", [\"lying\", 6], [\"<=>\... | {"split": "train", "index": 14870} |
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: Riley, Penelope, Benjamin, Luke, Logan, Emily, Lucas, Lily, and Olivia. In a statement by Riley: \"if (if (Lily is a knave and Benjamin is a knave) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1537, \"statements\": [[\"->\", [\"->\", [\"and\", [\"lying\", 7], [\"lying\", 2]], [\"lying\", 6]], [\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"lying\", 4]]], [\"telling-truth\", 0], [\"lying\", 7], [\"->\", [\"->\", [\"-... | {"split": "train", "index": 14871} |
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, Scarlett, Sebastian, Daniel, Lily, Emma, Mason, Alexander, and William. Luke expressed that if ((if Sebastian is a villain then Scarlett is a h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1538, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 8], [\"not\", [\"telling-truth\", 5]]]], [\"or\", [\"or\", [\"->\", [\"lying\", ... | {"split": "train", "index": 14872} |
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, Aria, Isabella, Aiden, Penelope, Riley, Emily, Jackson, and James. In a statement by Michael: \"(it is not the case that (Aria is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1539, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"and\", [\"telling-truth\", 5], [\"lying\", 6]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 8]]]], [\... | {"split": "train", "index": 14873} |
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, Alexander, James, Mia, Luke, Avery, Michael, Isabella, and Penelope. Victoria told you that Luke is a pioneer. Alexander was heard sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1540, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 5], [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"tel... | {"split": "train", "index": 14874} |
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, Ethan, Emily, William, Alexander, Isabella, Amelia, David, and Aurora. Elizabeth stated, \"((William is a hero if and only if Amelia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1541, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"or\... | {"split": "train", "index": 14875} |
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: William, Samuel, Oliver, Jacob, Daniel, Ethan, Isabella, Victoria, and Henry. \"(if (Jacob is a saint if and only if Jacob is a sinner) then (Isabell... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1542, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 5]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"an... | {"split": "train", "index": 14876} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Joseph, Chloe, Evelyn, Jackson, Grace, Lily, William, Abigail, and Sofia. Joseph expressed that Grace is a laggard. As Chloe put it, \"((Evelyn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1543, \"statements\": [[\"lying\", 4], [\"or\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 5]], [\"lying\", 2]], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]], [\"->\", [\"lying\", 4], [\"lying\", 8]]]... | {"split": "train", "index": 14877} |
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, Victoria, Noah, Jack, Logan, Aria, Grace, Joseph, and Matthew. Ella asserted: \"Grace is a sinner\". Victoria stated, \"((Jack is a saint if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1544, \"statements\": [[\"lying\", 6], [\"and\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 5]]], [\"or\", [\"and\", [\"lying\", 0], [\"telling-truth\", 6]], [\"o... | {"split": "train", "index": 14878} |
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: Lily, Mia, Aria, Joseph, Penelope, Abigail, James, Sebastian, and Luke. Lily remarked, \"Aria is a knave\". Mia was heard saying, \"((Lily is a knave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1545, \"statements\": [[\"lying\", 2], [\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 3]], [\"<=>\", [\"and\", [\"telling-truth\", 8], [\"lying\", 6]], [\"or\", [\"lying\", 2], [\"lying\", 8]]]], [\"and\", ... | {"split": "train", "index": 14879} |
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: Owen, Charlotte, Emily, Aria, Samuel, Alexander, Ella, Scarlett, and Sophia. In a statement by Owen: \"(if (Samuel is a fool) then Scarlett is a sage) or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1546, \"statements\": [[\"or\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 7]], [\"->\", [\"and\", [\"telling-truth\", 8], [\"lying\", 8]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 4]]]], [\"->... | {"split": "train", "index": 14880} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Ella, Aurora, Oliver, Abigail, Joseph, Zoey, Lucas, Riley, and Aria. Ella commented, \"(Zoey is a sage and (Joseph is a fool if and only if Zoey is a fool)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1547, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 5], [\"<=>\", [\"lying\", 4], [\"lying\", 5]]], [\"telling-truth\", 0]], [\"or\", [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"->\", [\"lying\", 8... | {"split": "train", "index": 14881} |
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, Ethan, Samuel, Luke, Michael, Owen, Aiden, Jacob, and Lucas. Aria remarked, \"Michael is a knave\". In Ethan's words: \"(it is not the case tha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1548, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"and\", [\"not\", [\"->\", [\"lying\", 7], [\"telling-truth\", 3]]], [\"telling-truth\", 2]], [\"->\", [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"... | {"split": "train", "index": 14882} |
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, Matthew, Aria, Jack, Lucas, Scarlett, Jacob, Isabella, and Sophia. Ava said that Sophia is a saint and Lucas is a saint. Matthew said that ((Luc... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1549, \"statements\": [[\"and\", [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"<=>\", [\"and\", [\"or\", [\"lying\", 4], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"... | {"split": "train", "index": 14883} |
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, Ella, Mason, Victoria, Sebastian, Logan, Benjamin, Matthew, and Avery. Amelia asserted: \"if Sebastian is a knight then (if (Matthew is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1550, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"->\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]]], [\"or\", [\"or\", [\"not\", [\"lying\", 5]], [\"no... | {"split": "train", "index": 14884} |
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: Aria, Lucas, Victoria, Evelyn, Amelia, Zoey, Penelope, James, and Liam. Aria remarked, \"it is not the case that (if Evelyn is a fool then (if Lucas is a f... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1551, \"statements\": [[\"not\", [\"->\", [\"lying\", 3], [\"->\", [\"lying\", 1], [\"telling-truth\", 8]]]], [\"and\", [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"lying\", 8]]], [\... | {"split": "train", "index": 14885} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Riley, Harper, Amelia, Owen, Aria, Noah, Charlotte, Ella, and William. As Riley put it, \"if Charlotte is a devil then (Harper is a devil)\". Harper ex... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1552, \"statements\": [[\"->\", [\"lying\", 6], [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 7]]], [\"lying\", 0]], [\"<... | {"split": "train", "index": 14886} |
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, Emma, Grace, Ella, Jack, Penelope, Harper, Avery, and William. \"(it is not the case that (Grace is an angel if and only if Penelope is an angel)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1553, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 5]]], [\"or\", [\"lying\", 7], [\"or\", [\"lying\", 2], [\"telling-truth\", 1]]]], [\"telling-truth\", 6], [\"lying\", 8], [\"<=>... | {"split": "train", "index": 14887} |
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, Alexander, Emily, Mia, Ethan, Michael, Olivia, William, and Elizabeth. Samuel expressed that (if (if Emily is a saint then William is a sinne... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1554, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 6]]], [\"telling-truth\", 3]], [\"telling-truth\", 0], [\"not\", [\"not\", [\"<=>\", [\"... | {"split": "train", "index": 14888} |
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, Owen, Ava, Liam, Sebastian, Logan, Jack, Ethan, and Chloe. \"it is not the case that ((Liam is a sage if and only if Ava is a fool) if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1555, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 8]]]], [\"<=>\", [\"telling-truth\", 7], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\... | {"split": "train", "index": 14889} |
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, Matthew, Penelope, Ella, Logan, Chloe, Abigail, Joseph, and Grace. In Samuel's words: \"Grace is an egoist or ((Penelope is an egoist a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1556, \"statements\": [[\"or\", [\"lying\", 8], [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 6]]]], [\"and\", [\"and\", [\"->\", [\"telling-truth\", 5], [\"lying\", 6]], [\"->\", [\... | {"split": "train", "index": 14890} |
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, Grace, Lucas, Abigail, Luke, Elizabeth, Owen, Aria, and Riley. Sebastian was heard saying, \"if (it is not the case that (Lucas is an angel ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1557, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 6]]], [\"telling-truth\", 4]], [\"or\", [\"->\", [\"and\", [\"lying\", 5], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 4... | {"split": "train", "index": 14891} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: David, Joseph, Charlotte, Emily, Aria, Oliver, Aiden, Liam, and Jackson. David said that (it is not the case that (Oliver is a fool)) or (if Liam is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1558, \"statements\": [[\"or\", [\"not\", [\"not\", [\"telling-truth\", 5]]], [\"->\", [\"telling-truth\", 7], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]]], [\"->\", [\"<=>\", [\"telling-truth\", 7], [\"or\", [\"telling... | {"split": "train", "index": 14892} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Aiden, Evelyn, Olivia, Aurora, Emily, Ella, Zoey, Lily, and Mia. According to Aiden, \"Aurora is a laggard\". Evelyn stated, \"(it is not the c... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1559, \"statements\": [[\"lying\", 3], [\"and\", [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 5]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]]], [\"<=>\", [\"or\", [\"or\", [\"telling-truth\... | {"split": "train", "index": 14893} |
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, Aria, Lucas, Emily, Olivia, Liam, Scarlett, Mia, and Penelope. According to Oliver, \"(it is not the case that (Mia is a villain)) and (if Li... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1560, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 7]]], [\"->\", [\"telling-truth\", 5], [\"and\", [\"lying\", 2], [\"telling-truth\", 6]]]], [\"->\", [\"<=>\", [\"lying\", 7], [\"not\", [\"lying\", 8]]]... | {"split": "train", "index": 14894} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Liam, Chloe, Harper, Sebastian, Aria, Owen, Charlotte, Alexander, and Lucas. In a statement by Liam: \"((Lucas is a villain and Aria is a villain) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1561, \"statements\": [[\"or\", [\"or\", [\"and\", [\"lying\", 8], [\"lying\", 4]], [\"and\", [\"lying\", 7], [\"lying\", 6]]], [\"or\", [\"not\", [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 6... | {"split": "train", "index": 14895} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Scarlett, Emma, Jacob, Henry, Noah, Samuel, Michael, Mia, and Oliver. As Scarlett put it, \"Samuel is a knave\". Emma commented, \"((Michael is a kna... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1562, \"statements\": [[\"lying\", 5], [\"<=>\", [\"and\", [\"or\", [\"lying\", 6], [\"lying\", 7]], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 5]]]], [\"telling-truth\", 6], [\... | {"split": "train", "index": 14896} |
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, Benjamin, Chloe, Avery, Charlotte, Sofia, Jackson, Ethan, and David. In Sophia's words: \"(it is not the case that (Chloe is a hero)) if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1563, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"lying\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 6]]]], [\"->\", [\"->\", [\"or\", [\"telli... | {"split": "train", "index": 14897} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: William, Henry, Sebastian, Samuel, Abigail, Noah, Charlotte, Michael, and Sofia. William commented, \"(Samuel is an angel if and only if (Samuel is a d... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1564, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 3], [\"and\", [\"lying\", 3], [\"telling-truth\", 7]]], [\"<=>\", [\"or\", [\"lying\", 5], [\"telling-truth\", 6]], [\"and\", [\"lying\", 6], [\"telling-truth\", 2... | {"split": "train", "index": 14898} |
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: Sophia, James, Isabella, Aiden, Riley, Ethan, Lucas, Evelyn, and Noah. Sophia remarked, \"it is not the case that ((Riley is a knight and Lucas is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1565, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 8]]]], [\"<=>\", [\"telling-truth\", 7], [\"or\", [\"not\", [\"lying\"... | {"split": "train", "index": 14899} |
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