data_source stringclasses 1
value | prompt stringlengths 657 2.81k | ability stringclasses 1
value | reward_model stringlengths 1.3k 5.51k | extra_info stringlengths 30 34 |
|---|---|---|---|---|
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Aurora, James, Ethan, Ella, and William. Aurora noted, \"(if William is a devil then William is an angel) if and only if (if William is a devil then Et... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 910, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"and\", [\"lying\", 0], [\"->\", [\"lying\", 2], [\"lying\", 0]], [\"->\", [\"telling-truth... | {"split": "train", "index": 9800} |
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 5 inhabitants: Liam, Henry, Samuel, Michael, and Joseph. In Liam's words: \"(Samuel is a sage and Joseph is a sage) and (if Liam is a sage then Joseph is a sage)\". In a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 911, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3]], [\"and\", [\"ly... | {"split": "train", "index": 9801} |
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 5 inhabitants: Alexander, Matthew, Isabella, Emma, and Riley. As Alexander put it, \"(Isabella is an egoist if and only if Matthew is an altruist) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 912, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"lying\", 1]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"or\", [\"lying\", 3], [\"lying\", 0]]], [\"->\", [\"<=>\", [\"te... | {"split": "train", "index": 9802} |
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 5 inhabitants: Amelia, Benjamin, Ella, Joseph, and Sophia. Amelia stated, \"(Sophia is a knight and Ella is a knave and Ella is a knight) or (Benjamin is a knave if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 913, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"and\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 3], ... | {"split": "train", "index": 9803} |
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 5 inhabitants: Ethan, Aurora, Ella, Olivia, and Alexander. Ethan stated, \"Olivia is a hero\". Aurora said that Ethan is a villain. According to Ella, \"Alexander i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 914, \"statements\": [[\"telling-truth\", 3], [\"lying\", 0], [\"telling-truth\", 4], [\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3]], [\"telling-truth\", 2]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\"... | {"split": "train", "index": 9804} |
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 5 inhabitants: Ella, Sofia, Alexander, Henry, and Mason. According to Ella, \"(Mason is a saint or Alexander is a saint or Ella is a saint) and (if Alexander is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 915, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"<=>\", [\"lying\", 1], [\"lying\", 4]]], [\"<=>\", [\"or\",... | {"split": "train", "index": 9805} |
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 5 inhabitants: Mia, Avery, Henry, Penelope, and Scarlett. Mia was heard saying, \"it is not the case that (Penelope is a devil and Avery is an angel)\". Avery said th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 916, \"statements\": [[\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 0]], [\"not\", [... | {"split": "train", "index": 9806} |
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 5 inhabitants: Sofia, Liam, Charlotte, James, and Grace. In a statement by Sofia: \"Grace is a pioneer\". Liam commented, \"(James is a pioneer or Liam is a p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 917, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"or\", [\"lying\", 0], [\"lying\", 4]]], [\"telling-truth\", 4], [\"or\", [\"<=>\", [\"lying\", 0], [\"lying\"... | {"split": "train", "index": 9807} |
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 5 inhabitants: Owen, Sofia, Scarlett, Emily, and Aria. \"(Scarlett is a villain) or (if Emily is a villain then Aria is a villain),\" Owen declared. Sofia noted, \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 918, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 0]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"not\", [\... | {"split": "train", "index": 9808} |
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 5 inhabitants: Elizabeth, Olivia, Aria, Jack, and Amelia. Elizabeth was heard saying, \"it is not the case that (Aria is an egoist or Amelia is an altruist or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 919, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"or\",... | {"split": "train", "index": 9809} |
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 5 inhabitants: Sofia, Emma, Olivia, Isabella, and Joseph. Sofia told you that (Isabella is a villain or Emma is a villain or Olivia is a villain) or (Emma is a hero... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 920, \"statements\": [[\"or\", [\"or\", [\"lying\", 3], [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\"... | {"split": "train", "index": 9810} |
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 5 inhabitants: William, Jacob, Emma, Luke, and Lily. William said that it is not the case that (Lily is a sage if and only if Luke is a fool). Jacob noted, \"William is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 921, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"<=>\", [\"lying\", 0], [\"or\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 0]], [\"not\", [\"... | {"split": "train", "index": 9811} |
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 5 inhabitants: William, Abigail, Benjamin, Aiden, and Jack. William was heard saying, \"Aiden is a laggard or (William is a pioneer or Abigail is a pioneer) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 922, \"statements\": [[\"or\", [\"lying\", 3], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"<=>\", [\"telling-truth\", 1], [\"not\", [\"lying\", 2]]], [\"not\", [\"lyi... | {"split": "train", "index": 9812} |
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 5 inhabitants: Riley, Ella, Penelope, Evelyn, and Mason. Riley said that if (Ella is an angel and Mason is an angel and Mason is a devil) then (Mason is an angel and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 923, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\... | {"split": "train", "index": 9813} |
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 5 inhabitants: Emma, Oliver, Emily, Evelyn, and Olivia. Emma expressed that (Oliver is a laggard or Olivia is a pioneer) and (Emma is a pioneer and Evelyn is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 924, \"statements\": [[\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 0], [\"telling-truth\", 3]],... | {"split": "train", "index": 9814} |
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 5 inhabitants: Emily, David, James, Elizabeth, and Ethan. Emily told you that David is an egoist. \"it is not the case that (James is an egoist or Emily is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 925, \"statements\": [[\"lying\", 1], [\"not\", [\"or\", [\"lying\", 2], [\"lying\", 0]]], [\"and\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"lyi... | {"split": "train", "index": 9815} |
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 5 inhabitants: Mason, Harper, James, Jacob, and Evelyn. \"(James is a sage or Evelyn is a sage or Harper is a sage) or (Harper is a fool and Harper is a sage and Jacob is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 926, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"and\", [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"l... | {"split": "train", "index": 9816} |
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 5 inhabitants: Lily, Matthew, Elizabeth, Amelia, and Sofia. As Lily put it, \"(Elizabeth is a knave and Matthew is a knave and Elizabeth is a knight) if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 927, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 2], [\"lying\", 1], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 0]]], [\"and\", [\"lying\", 4], [\"not\", [\"telling-truth... | {"split": "train", "index": 9817} |
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 5 inhabitants: Jackson, Scarlett, Benjamin, Charlotte, and Ethan. Jackson commented, \"(Charlotte is a knave if and only if Benjamin is a knight) or (if Benjamin is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 928, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"and\", [\"telling-truth\", 2], ... | {"split": "train", "index": 9818} |
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 5 inhabitants: Mia, Michael, Harper, Sophia, and James. \"Sophia is a sage,\" Mia claimed. \"(Mia is a fool) if and only if (if James is a fool then Harper is a sage),\" ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 929, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"<=>\", [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 3], [\"lying\", 3], ... | {"split": "train", "index": 9819} |
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 5 inhabitants: Aria, Logan, Scarlett, David, and Ava. In Aria's words: \"(if Scarlett is a hero then Aria is a hero) or (Aria is a hero or Ava is a hero or David is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 930, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 3]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"not\", [... | {"split": "train", "index": 9820} |
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 5 inhabitants: Samuel, James, Jacob, Riley, and Isabella. According to Samuel, \"(Isabella is a devil) if and only if (Jacob is an angel and Isabella is a devil)\". \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 931, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"lying\", 4], [\"telling-truth\", 1... | {"split": "train", "index": 9821} |
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 5 inhabitants: Grace, James, Elizabeth, Lily, and Jacob. Grace told you that (James is a laggard) and (Lily is a laggard and James is a laggard and Jacob is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 932, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"telling-truth\", 0], [\"<=>\", [\"->\", [\"lying\", 1... | {"split": "train", "index": 9822} |
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 5 inhabitants: Joseph, David, Scarlett, Avery, and Zoey. \"David is a knave and (Zoey is a knave) and (if David is a knight then David is a knave),\" Joseph claimed... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 933, \"statements\": [[\"and\", [\"lying\", 1], [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 4]], [\"not\", [\"lying\", 4]], [\"a... | {"split": "train", "index": 9823} |
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 5 inhabitants: Logan, Chloe, David, Liam, and Benjamin. Logan asserted: \"David is a hero or (Benjamin is a hero or Liam is a hero or Chloe is a villain)\". Chloe s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 934, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 1]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"lying\", 0]], [\"telling-truth\", 0], [\"->\", [\"lying\... | {"split": "train", "index": 9824} |
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 5 inhabitants: Michael, Zoey, Victoria, Olivia, and Abigail. In Michael's words: \"(Olivia is a devil and Olivia is an angel and Abigail is an angel) if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 935, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 1], [... | {"split": "train", "index": 9825} |
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 5 inhabitants: Scarlett, Lucas, Luke, Mia, and Victoria. Scarlett commented, \"Lucas is an egoist\". \"Scarlett is an egoist\" - Lucas. Luke stated, \"Scarlet... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 936, \"statements\": [[\"lying\", 1], [\"lying\", 0], [\"lying\", 0], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"and\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"telling-truth\", 2]], \"solution\... | {"split": "train", "index": 9826} |
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 5 inhabitants: William, Scarlett, Alexander, Logan, and Aria. William said that (Aria is a devil) and (Logan is an angel or Aria is an angel or Alexander is an angel)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 937, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 0], [\"telling-t... | {"split": "train", "index": 9827} |
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 5 inhabitants: Riley, Matthew, Aria, Grace, and Charlotte. As Riley put it, \"it is not the case that (if Matthew is a knave then Matthew is a knight)\". Matthew wa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 938, \"statements\": [[\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"telling-truth\", 3], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"lying\", 0]], [\"and\", [\"lying\", 2], [\"not\", [\"lying\", 4]], [\"o... | {"split": "train", "index": 9828} |
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 5 inhabitants: William, Noah, Lucas, Jackson, and Lily. \"if (Lucas is an altruist) then (Lily is an altruist or Lucas is an altruist),\" William claimed. \"i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 939, \"statements\": [[\"->\", [\"not\", [\"lying\", 2]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-... | {"split": "train", "index": 9829} |
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 5 inhabitants: Luke, Samuel, Grace, Elizabeth, and Sofia. In Luke's words: \"(Sofia is an altruist or Grace is an egoist) or (if Samuel is an altruist then El... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 940, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 4]]], [\"and\", [\"telling... | {"split": "train", "index": 9830} |
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 5 inhabitants: James, Joseph, Logan, Olivia, and Chloe. According to James, \"(Chloe is a sage if and only if Olivia is a fool) or (Chloe is a sage if and only if Joseph ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 941, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"telling-truth\", 1], [\"not\", [\"<=>\"... | {"split": "train", "index": 9831} |
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 5 inhabitants: Aria, Mason, Sofia, David, and Emily. According to Aria, \"(Sofia is a saint) or (Sofia is a saint and Mason is a saint)\". Mason commented, \"if (Da... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 942, \"statements\": [[\"or\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"no... | {"split": "train", "index": 9832} |
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 5 inhabitants: Jackson, Chloe, Jacob, Aiden, and Matthew. As Jackson put it, \"Jacob is an egoist\". Chloe said, \"(if Matthew is an egoist then Jackson is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 943, \"statements\": [[\"lying\", 2], [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"telling-truth\", 2]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1], [\"lying\", 4]]], [\"->\", [\"->\", [\"telli... | {"split": "train", "index": 9833} |
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 5 inhabitants: Lucas, Evelyn, Owen, Henry, and Emma. Lucas expressed that (Evelyn is a saint or Lucas is a saint or Evelyn is a sinner) or (if Lucas is a saint then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 944, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 1]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\... | {"split": "train", "index": 9834} |
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 5 inhabitants: Oliver, Benjamin, Henry, Elizabeth, and Isabella. Oliver was heard saying, \"Benjamin is a laggard\". Benjamin was heard saying, \"(Oliver is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 945, \"statements\": [[\"lying\", 1], [\"or\", [\"and\", [\"lying\", 0], [\"telling-truth\", 2], [\"lying\", 3]], [\"telling-truth\", 0]], [\"telling-truth\", 2], [\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", ... | {"split": "train", "index": 9835} |
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 5 inhabitants: Penelope, Emily, Logan, Sofia, and Luke. Penelope commented, \"Logan is an egoist\". Emily told you that (if Logan is an altruist then Sofia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 946, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"telling-truth\", 1], [\"->\", [\"not\", [\"tel... | {"split": "train", "index": 9836} |
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 5 inhabitants: Penelope, Liam, Abigail, Logan, and Olivia. \"Liam is a pioneer or Olivia is a pioneer,\" Penelope claimed. In Liam's words: \"(Penelope is a p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 947, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"lying\", 0]]], [\"<=>\", [\"<=>\"... | {"split": "train", "index": 9837} |
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 5 inhabitants: Logan, Aurora, Avery, Emily, and Daniel. In Logan's words: \"if Daniel is a villain then (Daniel is a villain)\". Aurora expressed that it is not the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 948, \"statements\": [[\"->\", [\"lying\", 4], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth\", 4], [\"lying\", 4]]], [\"and\", [\"telling-truth\", 4], [\"and\", [\"lying\", 4], [\"lyi... | {"split": "train", "index": 9838} |
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 5 inhabitants: Alexander, Lily, Liam, Luke, and Joseph. Alexander told you that (Lily is a devil) or Joseph is a devil. In Lily's words: \"Luke is a devil\". \"(Josep... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 949, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"lying\", 4]], [\"lying\", 3], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0]], [\"not\", [\"lying\", 0]]], [\"and\", [\"and\", [\"telling-truth\", ... | {"split": "train", "index": 9839} |
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 5 inhabitants: Oliver, Penelope, Amelia, Riley, and Aria. In Oliver's words: \"(Aria is a devil) if and only if (Riley is an angel or Penelope is a devil)\". \"(if Ri... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 950, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"<=... | {"split": "train", "index": 9840} |
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 5 inhabitants: Luke, Alexander, Joseph, Henry, and Aria. Luke said, \"Alexander is a sage.\" Alexander told you that it is not the case that (Aria is a sage or Henry is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 951, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 4]]], [\"->\", [\"not\", [\"lying\", 1]], [\"->\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"and\", [\"or\... | {"split": "train", "index": 9841} |
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 5 inhabitants: Riley, Samuel, Mia, Jacob, and Ella. Riley told you that if (Samuel is an egoist if and only if Ella is an altruist) then (if Ella is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 952, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"lying\", 0]], [\"not\", [\"telling-truth\", 4]]], [\"->... | {"split": "train", "index": 9842} |
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 5 inhabitants: Michael, Amelia, Aiden, Sophia, and Liam. Michael said that if (Amelia is a laggard) then (Amelia is a pioneer). Amelia was heard saying, \"it ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 953, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"lying\", 0], [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\",... | {"split": "train", "index": 9843} |
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 5 inhabitants: Ava, Mia, Olivia, Noah, and Grace. \"Noah is a laggard,\" Ava declared. Mia remarked, \"Olivia is a pioneer\". \"Noah is a pioneer,\" Olivia de... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 954, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 2], [\"telling-truth\", 3], [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"not\", [\"lying\", 0]], [\"->\", [\"telling-truth\"... | {"split": "train", "index": 9844} |
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 5 inhabitants: Ella, Michael, Riley, Chloe, and Aurora. Ella expressed that (Riley is a laggard) if and only if (Riley is a pioneer or Aurora is a laggard or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 955, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 0]], [\"<=>\", [\"telling-trut... | {"split": "train", "index": 9845} |
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 5 inhabitants: Samuel, David, Amelia, Daniel, and Jackson. In a statement by Samuel: \"(Jackson is a villain or Samuel is a hero) or (Samuel is a hero or Jackson is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 956, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"telling-truth\", ... | {"split": "train", "index": 9846} |
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 5 inhabitants: Harper, Avery, Owen, Jackson, and Ella. Harper remarked, \"Ella is a laggard or (Ella is a pioneer if and only if Owen is a laggard) or (Owen i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 957, \"statements\": [[\"or\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 0]... | {"split": "train", "index": 9847} |
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 5 inhabitants: Grace, Liam, Lucas, Ella, and Ethan. As Grace put it, \"(Lucas is a hero if and only if Liam is a villain) or (if Lucas is a villain then Liam is a h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 958, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"lying\", 0], [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 0]], [\"not\", [\"lying... | {"split": "train", "index": 9848} |
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 5 inhabitants: Elizabeth, Aiden, Scarlett, Mia, and Oliver. Elizabeth said that if (Mia is a villain if and only if Oliver is a hero) then (Aiden is a villain or Mi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 959, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\", 1], [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", ... | {"split": "train", "index": 9849} |
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 5 inhabitants: Zoey, Olivia, Scarlett, Sophia, and Elizabeth. \"(if Scarlett is a pioneer then Elizabeth is a pioneer) or (Sophia is a laggard and Sophia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 960, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"tel... | {"split": "train", "index": 9850} |
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 5 inhabitants: Owen, Emily, Amelia, Logan, and Mia. Owen expressed that it is not the case that (if Logan is a fool then Mia is a sage). Emily asserted: \"(Logan is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 961, \"statements\": [[\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"telling... | {"split": "train", "index": 9851} |
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 5 inhabitants: Grace, Ava, Sofia, Oliver, and Chloe. \"it is not the case that (Grace is an angel or Sofia is an angel)\" - Grace. \"it is not the case that (Oliver i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 962, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1... | {"split": "train", "index": 9852} |
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 5 inhabitants: Michael, Lily, Mason, Emily, and Jackson. \"(Mason is an angel) if and only if (Lily is a devil if and only if Mason is a devil),\" Michael mentioned. ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 963, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"lying\", 1], [\"lying\", 2]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"telling-tr... | {"split": "train", "index": 9853} |
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 5 inhabitants: Michael, Jackson, Emily, Riley, and Owen. Michael asserted: \"(Riley is a devil if and only if Emily is a devil) and (Owen is an angel) and (Jackson is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 964, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"<=>\", [... | {"split": "train", "index": 9854} |
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 5 inhabitants: Victoria, Evelyn, Aria, Isabella, and Scarlett. Victoria was heard saying, \"(Aria is an angel or Aria is a devil or Scarlett is a devil) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 965, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth... | {"split": "train", "index": 9855} |
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 5 inhabitants: Olivia, Harper, Noah, Aiden, and Riley. Olivia commented, \"if Noah is a devil then (Riley is a devil)\". Harper noted, \"Noah is a devil\". Noah remar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 966, \"statements\": [[\"->\", [\"lying\", 2], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"telling-truth\", 2]], [\"or\", [\"->\", [\"lying\", 0], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]], [\"lying\", 0]... | {"split": "train", "index": 9856} |
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 5 inhabitants: William, Harper, Aurora, Luke, and Michael. William asserted: \"Michael is a sinner\". In Harper's words: \"(Aurora is a saint if and only if Harper ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 967, \"statements\": [[\"lying\", 4], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"telling-truth\", 4], [\"or\", [\"and\", [\"lying\", 4], [\"telling... | {"split": "train", "index": 9857} |
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 5 inhabitants: Scarlett, Jack, Abigail, Sebastian, and Joseph. Scarlett remarked, \"Sebastian is a sinner if and only if (Jack is a sinner if and only if Jack is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 968, \"statements\": [[\"<=>\", [\"lying\", 3], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 3]], [\"->\", [\"->\", [\"telling-truth\", 2],... | {"split": "train", "index": 9858} |
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 5 inhabitants: Harper, Samuel, Daniel, Sofia, and Lily. Harper was heard saying, \"Lily is a pioneer and (if Harper is a pioneer then Daniel is a pioneer) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 969, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"lying\", 4], [\... | {"split": "train", "index": 9859} |
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 5 inhabitants: Grace, Jacob, Avery, Jackson, and Victoria. As Grace put it, \"Avery is a knight\". Jacob noted, \"(Victoria is a knave or Victoria is a knight or Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 970, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"lying\... | {"split": "train", "index": 9860} |
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 5 inhabitants: Aria, Amelia, Logan, Scarlett, and Joseph. Aria stated, \"Scarlett is a pioneer\". According to Amelia, \"if (Logan is a laggard and Aria is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 971, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"and\", [\"lying\", 2], [\"lying\", 0]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"lying\", 0], [\"telling-truth... | {"split": "train", "index": 9861} |
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 5 inhabitants: Henry, Joseph, Zoey, Aurora, and James. Henry told you that if (Joseph is a knight and Zoey is a knave and Joseph is a knave) then (if James is a kna... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 972, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 1]], [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"lying\", 0], [\"telling-truth\", 4], [\"or\", [\"and\", [\"lying\", 4], [\... | {"split": "train", "index": 9862} |
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 5 inhabitants: Lily, Sophia, Mia, Liam, and Noah. Lily noted, \"Liam is a fool if and only if (Mia is a fool and Noah is a fool)\". Sophia was heard saying, \"if Lily is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 973, \"statements\": [[\"<=>\", [\"lying\", 3], [\"and\", [\"lying\", 2], [\"lying\", 4]]], [\"->\", [\"telling-truth\", 0], [\"not\", [\"lying\", 3]]], [\"telling-truth\", 3], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lyin... | {"split": "train", "index": 9863} |
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 5 inhabitants: Oliver, Logan, Alexander, Luke, and Joseph. \"if (if Luke is a devil then Joseph is a devil) then Luke is an angel,\" Oliver mentioned. Logan stated, \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 974, \"statements\": [[\"->\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"telling-truth\", 3]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"and\",... | {"split": "train", "index": 9864} |
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 5 inhabitants: Isabella, Evelyn, Zoey, Sofia, and Lily. Isabella asserted: \"Zoey is a villain or Sofia is a villain\". Evelyn commented, \"(Isabella is a villain) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 975, \"statements\": [[\"or\", [\"lying\", 2], [\"lying\", 3]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 3], [\"lying\", 2]], [\"or\", [\"->\", [\"lying\", 1], [\"lying\", 0]], [\"<=>\", [\"lying\", 3],... | {"split": "train", "index": 9865} |
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 5 inhabitants: Ella, David, Scarlett, Samuel, and Mason. In a statement by Ella: \"(David is a villain) and (Mason is a hero) and David is a villain\". David commen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 976, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 4]], [\"lying\", 1]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", ... | {"split": "train", "index": 9866} |
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 5 inhabitants: Riley, Matthew, Scarlett, Ava, and Samuel. According to Riley, \"Matthew is an altruist\". In a statement by Matthew: \"(Scarlett is an egoist ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 977, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"and\", [\"lying\", 0], [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"->\", [\"telling-truth\", 1], [\"or\", [\... | {"split": "train", "index": 9867} |
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 5 inhabitants: Zoey, Emma, Logan, Grace, and Sofia. As Zoey put it, \"if (if Emma is a sage then Sofia is a fool) then (Sofia is a fool and Logan is a sage)\". Emma state... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 978, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"telling-truth\", 2], [\"->\", [\"not\", [\"lying\", 0]], [\"and\", [\"lying\", 4], [\"tell... | {"split": "train", "index": 9868} |
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 5 inhabitants: Olivia, Lucas, Mia, Mason, and Oliver. As Olivia put it, \"if (Oliver is a knave if and only if Olivia is a knight) then (if Mia is a knight then Oli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 979, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"telling-truth\", 0], [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\",... | {"split": "train", "index": 9869} |
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 5 inhabitants: Benjamin, Aria, Michael, Jack, and Grace. Benjamin remarked, \"(if Grace is an altruist then Michael is an egoist) if and only if (Grace is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 980, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"lying\", 0], [\"lying\", 3]], [\"or\", ... | {"split": "train", "index": 9870} |
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 5 inhabitants: Emily, Riley, Sebastian, Aurora, and Harper. In Emily's words: \"Harper is a villain or (Sebastian is a hero)\". Riley stated, \"(Emily is a hero and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 981, \"statements\": [[\"or\", [\"lying\", 4], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"or\", [\"telling-truth\", 4... | {"split": "train", "index": 9871} |
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 5 inhabitants: Sebastian, Evelyn, Elizabeth, Emily, and Jacob. In a statement by Sebastian: \"Jacob is a laggard\". \"it is not the case that (Evelyn is a pio... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 982, \"statements\": [[\"lying\", 4], [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 4], [\"lying\", 4]], [\"telling-truth\", 1]],... | {"split": "train", "index": 9872} |
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 5 inhabitants: Noah, Aiden, Sophia, Benjamin, and Emma. Noah stated, \"it is not the case that (Sophia is a devil or Aiden is an angel or Benjamin is an angel)\". Aid... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 983, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 3]], [\"or\", [\"telling-truth\", 0], [... | {"split": "train", "index": 9873} |
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 5 inhabitants: Sebastian, James, Olivia, Aurora, and Aiden. In a statement by Sebastian: \"if (Olivia is a pioneer) then (Sebastian is a pioneer and Aiden is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 984, \"statements\": [[\"->\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"telling-trut... | {"split": "train", "index": 9874} |
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 5 inhabitants: Scarlett, Charlotte, Lucas, Daniel, and Benjamin. Scarlett commented, \"(Lucas is a fool or Charlotte is a fool or Daniel is a fool) and Scarlett is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 985, \"statements\": [[\"and\", [\"or\", [\"lying\", 2], [\"lying\", 1], [\"lying\", 3]], [\"telling-truth\", 0], [\"not\", [\"lying\", 4]]], [\"->\", [\"<=>\", [\"lying\", 0], [\"lying\", 2]], [\"telling-truth\", 1]], [\"->\"... | {"split": "train", "index": 9875} |
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 5 inhabitants: Grace, Scarlett, Logan, Avery, and Owen. \"it is not the case that (Logan is a saint or Scarlett is a saint),\" Grace declared. As Scarlett put it, \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 986, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"<=>\", [\"lying\", 1], [\"and\", [\"telling-truth\", 0], [\"lying\", 3]... | {"split": "train", "index": 9876} |
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 5 inhabitants: Charlotte, Grace, Ethan, Daniel, and Amelia. \"if (Ethan is a sinner and Grace is a saint and Daniel is a saint) then (Amelia is a sinner and Amelia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 987, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 2]],... | {"split": "train", "index": 9877} |
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 5 inhabitants: Oliver, Isabella, Avery, Jackson, and Abigail. Oliver told you that (Jackson is a pioneer or Abigail is a pioneer or Jackson is a laggard) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 988, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"or\", [\"te... | {"split": "train", "index": 9878} |
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 5 inhabitants: Riley, Lucas, Daniel, Jackson, and Emma. Riley remarked, \"(Emma is a saint) or (Daniel is a saint if and only if Jackson is a saint) or Daniel is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 989, \"statements\": [[\"or\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]]],... | {"split": "train", "index": 9879} |
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 5 inhabitants: Mason, Oliver, Lucas, Evelyn, and Penelope. Mason commented, \"(Evelyn is a knight or Mason is a knight or Lucas is a knight) or (Oliver is a knight ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 990, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 3]]], [\"and\", [\"telling-truth\", 0], [\"... | {"split": "train", "index": 9880} |
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 5 inhabitants: Elizabeth, Samuel, Luke, Isabella, and Chloe. \"Luke is a knight,\" Elizabeth declared. In Samuel's words: \"(Elizabeth is a knight) or (Samuel is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 991, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"not\", [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"telling-truth\", 4], [\"and\", ... | {"split": "train", "index": 9881} |
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 5 inhabitants: Abigail, Matthew, Luke, Harper, and Mia. As Abigail put it, \"Luke is an angel\". Matthew asserted: \"(Abigail is a devil) and (Abigail is a devil if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 992, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 0], [\"lying\", 3]]], [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 3]], [\"or\", [\"telling-truth\", 0], [\"lyi... | {"split": "train", "index": 9882} |
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 5 inhabitants: Logan, Samuel, Emma, David, and Olivia. Logan expressed that (Olivia is a pioneer if and only if Logan is a pioneer) if and only if (if Logan i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 993, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1], [\"lying\", 3]]]... | {"split": "train", "index": 9883} |
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 5 inhabitants: Henry, Abigail, Lucas, Oliver, and Emily. Henry commented, \"(if Emily is a hero then Oliver is a villain) if and only if (Abigail is a villain or Lu... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 994, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"telling-truth\", 4], [\"<=>\", [\"and\", [\"lying\", 0], [\"telling-truth\", 1]], [\"and\"... | {"split": "train", "index": 9884} |
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 5 inhabitants: Aurora, Samuel, Emma, James, and Sofia. Aurora noted, \"(Aurora is a villain) and Sofia is a villain\". Samuel said that (Aurora is a hero or Sofia i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 995, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 4]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"telling-truth... | {"split": "train", "index": 9885} |
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 5 inhabitants: Noah, Evelyn, Michael, Avery, and William. \"it is not the case that (William is a devil or Michael is a devil),\" Noah mentioned. In a statement by Ev... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 996, \"statements\": [[\"not\", [\"or\", [\"lying\", 4], [\"lying\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"lying\", 4], [\"and\", [\"lying\", 3], [\"lying\", 0], [\"telling-truth\", 4]]], ... | {"split": "train", "index": 9886} |
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 5 inhabitants: Charlotte, Samuel, Evelyn, Amelia, and Oliver. \"(Amelia is a devil) if and only if (Oliver is a devil)\" - Charlotte. Samuel commented, \"Evelyn is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 997, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"telling-truth\", 2]], [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\",... | {"split": "train", "index": 9887} |
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 5 inhabitants: Mia, James, Logan, Evelyn, and Owen. Mia remarked, \"(Mia is a knave) or (James is a knight if and only if Evelyn is a knight)\". As James put it, \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 998, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"lyin... | {"split": "train", "index": 9888} |
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 5 inhabitants: Ethan, Sebastian, Mason, Liam, and Jacob. Ethan commented, \"(Mason is a hero and Jacob is a hero and Jacob is a villain) if and only if (Liam is a v... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 999, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 2]]], [\"and\", [\"telling-truth\", 1], [\"and\", [\"tell... | {"split": "train", "index": 9889} |
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 5 inhabitants: Aria, Samuel, Sebastian, Emma, and David. Aria commented, \"(if Aria is a hero then Samuel is a villain) if and only if (Samuel is a villain or Sebas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1000, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"or\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"->\", [\"lying\", 4], [\"or\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"telling-truth... | {"split": "train", "index": 9890} |
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 5 inhabitants: Elizabeth, Victoria, Emily, Michael, and David. Elizabeth asserted: \"(if David is a fool then Victoria is a sage) if and only if (if Victoria is a sage th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1001, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 2]],... | {"split": "train", "index": 9891} |
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 5 inhabitants: Lucas, Jackson, Jack, Mason, and Luke. In Lucas's words: \"if (Mason is a saint if and only if Luke is a sinner) then (if Mason is a saint then Jacks... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1002, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"or\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 2], [\"telling-truth\"... | {"split": "train", "index": 9892} |
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 5 inhabitants: Emily, Jackson, Benjamin, Liam, and Ava. As Emily put it, \"if (if Liam is an altruist then Ava is an egoist) then Benjamin is an altruist\". J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1003, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"telling-truth\", 2]], [\"not\", [\"not\", [\"lying\", 0]]], [\"or\", [\"and\", [\"lying\", 0], [\"lying\", 4], [\"telling-truth\", 3]], [\"->... | {"split": "train", "index": 9893} |
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 5 inhabitants: Lucas, Emma, Sophia, Isabella, and Oliver. In a statement by Lucas: \"(Oliver is a pioneer) or (if Oliver is a laggard then Oliver is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1004, \"statements\": [[\"or\", [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [... | {"split": "train", "index": 9894} |
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 5 inhabitants: Lily, Mason, Elizabeth, Riley, and Abigail. \"(Elizabeth is an egoist if and only if Lily is an altruist) if and only if (Riley is an egoist an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1005, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"and\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"lying\", 0], [\"telling-truth\", 3], [\"lying... | {"split": "train", "index": 9895} |
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 5 inhabitants: David, Lily, Emma, Aria, and Alexander. David remarked, \"if (if Lily is an angel then Emma is an angel) then (Alexander is an angel and Lily is a devi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1006, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"and\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"a... | {"split": "train", "index": 9896} |
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 5 inhabitants: David, Sebastian, Jackson, Benjamin, and Penelope. David asserted: \"(Benjamin is a fool) if and only if (if Penelope is a fool then Sebastian is a fool)\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1007, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"lying\", 1]]], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"te... | {"split": "train", "index": 9897} |
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 5 inhabitants: Lily, Ethan, Benjamin, Mia, and Jacob. \"(if Jacob is a sage then Lily is a sage) if and only if (Benjamin is a fool),\" Lily claimed. Ethan remarked, \"Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1008, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"or\", [\"lying\", 2], [\"telling-truth... | {"split": "train", "index": 9898} |
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 5 inhabitants: Charlotte, Sebastian, Matthew, Olivia, and Henry. Charlotte said, \"(Henry is an altruist and Sebastian is an altruist and Olivia is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1009, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth... | {"split": "train", "index": 9899} |
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