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 saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Sofia, Lily, Avery, Sophia, and Harper. Sofia was heard saying, \"Avery is a saint\". Lily stated, \"Sofia is a sinner\". As Avery put it, \"if (it i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1744, \"statements\": [[\"telling-truth\", 2], [\"lying\", 0], [\"->\", [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 0]]]], [\"->\", [\"and\", [\"or\", [\... | {"split": "train", "index": 17300} |
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, Owen, Joseph, Chloe, and Michael. \"Michael is a sinner,\" Lucas claimed. Owen told you that if ((Michael is a saint and Owen is a saint) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1745, \"statements\": [[\"lying\", 4], [\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"telling-truth\", 2]], [\"not\", [\"not\", [\"telling-truth\", 2]]]], [\"telling-truth\", 4], [\"and\", [\"... | {"split": "train", "index": 17301} |
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: Ella, Jackson, Amelia, Oliver, and Charlotte. Ella said that (if Amelia is an egoist then (if Ella is an altruist then Jackson is an egoist)) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1746, \"statements\": [[\"and\", [\"->\", [\"lying\", 2], [\"->\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"or\", [\"lying\", 1], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [\"lying... | {"split": "train", "index": 17302} |
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: Emily, Zoey, Scarlett, Logan, and Riley. \"Riley is a fool\" - Emily. In a statement by Zoey: \"((Riley is a fool and Logan is a sage) or (Logan is a sage ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1747, \"statements\": [[\"lying\", 4], [\"and\", [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"or\", [\"lying\", 4], [\"or\", [\"lying\", 2], [\"telling-trut... | {"split": "train", "index": 17303} |
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: David, Riley, Zoey, Oliver, and Avery. David stated, \"if ((Zoey is an altruist and Riley is an altruist and Avery is an altruist) and (Riley i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1748, \"statements\": [[\"->\", [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 1]]], [\"not\", [\"<=>\", [\"telling-tr... | {"split": "train", "index": 17304} |
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: Logan, Sophia, Henry, Aurora, and Isabella. \"((if Sophia is an altruist then Isabella is an altruist) and (if Aurora is an egoist then Isabell... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1749, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"telling-truth\", 3]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4]... | {"split": "train", "index": 17305} |
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: Victoria, Jackson, Aurora, Logan, and Scarlett. \"(Aurora is a laggard or (Victoria is a pioneer if and only if Scarlett is a pioneer) or (if J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1750, \"statements\": [[\"and\", [\"or\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"or\", [\"telling-truth\", 1], [\"and\", [\"tell... | {"split": "train", "index": 17306} |
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: Aiden, Evelyn, Logan, Riley, and Isabella. In Aiden's words: \"if ((if Evelyn is an egoist then Logan is an egoist) or (Aiden is an altruist an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1751, \"statements\": [[\"->\", [\"or\", [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"->\", [\"and\"... | {"split": "train", "index": 17307} |
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: Mason, Olivia, Riley, Daniel, and Sebastian. As Mason put it, \"(if (if Riley is a pioneer then Olivia is a laggard) then (Daniel is a laggard ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1752, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"or\", [\"telling-truth\", 4], [\"and\", [\"lying\", 1], [\"telling-truth\", 0],... | {"split": "train", "index": 17308} |
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: Matthew, Amelia, Henry, Logan, and Aiden. Matthew expressed that it is not the case that (Logan is an angel if and only if (Matthew is an angel and Ame... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1753, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 0], [\"lying\", 1], [\"lying\", 3]]]], [\"not\", [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 1... | {"split": "train", "index": 17309} |
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: Aria, Aurora, Henry, Lucas, and Liam. Aria noted, \"((Aurora is a knave and Henry is a knight) if and only if Lucas is a knight) and (Aria is a knigh... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1754, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 0], [\"lying\", 2]]]], [\"->\", [\"->\", [\"... | {"split": "train", "index": 17310} |
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: Evelyn, Jack, Aiden, Grace, and Aria. \"Jack is an egoist,\" Evelyn claimed. Jack noted, \"it is not the case that ((Aria is an altruist and Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1755, \"statements\": [[\"lying\", 1], [\"not\", [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\... | {"split": "train", "index": 17311} |
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: Penelope, Mason, William, Evelyn, and Aiden. According to Penelope, \"if William is a knave then ((William is a knight or Penelope is a knight or Aid... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1756, \"statements\": [[\"->\", [\"lying\", 2], [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"and\", [\"lying\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 4], [... | {"split": "train", "index": 17312} |
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: Mason, Jacob, William, James, and Amelia. Mason said that James is a laggard. Jacob told you that it is not the case that ((William is a pionee... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1757, \"statements\": [[\"lying\", 3], [\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 0]]]], [\"not\", [\"or\", [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 2]]... | {"split": "train", "index": 17313} |
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: Liam, Jacob, Jackson, Daniel, and William. Liam expressed that it is not the case that (it is not the case that (Jackson is an angel or Liam is an ange... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1758, \"statements\": [[\"not\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 2]]]], [\"not\", [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]]]], [\"lying\", 4], [\"->\", [\"and\", [\"or\"... | {"split": "train", "index": 17314} |
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: Sophia, William, Ella, Jack, and Aurora. Sophia was heard saying, \"if ((if William is an angel then Ella is a devil) if and only if (if Aurora is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1759, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"->\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 0], [\"lying\... | {"split": "train", "index": 17315} |
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, Mia, Logan, James, and Olivia. Zoey said, \"it is not the case that (if James is a sage then (James is a fool and Mia is a sage)).\" \"it is not the ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1760, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"and\", [\"lying\", 3], [\"telling-truth\", 1]]]], [\"not\", [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]]], [\"->\", [\"lying\", 0], [\"and\",... | {"split": "train", "index": 17316} |
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: Lucas, Aiden, Scarlett, Sebastian, and Penelope. Lucas told you that it is not the case that (it is not the case that (Scarlett is an angel)). Aiden sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1761, \"statements\": [[\"not\", [\"not\", [\"not\", [\"lying\", 2]]]], [\"lying\", 0], [\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]],... | {"split": "train", "index": 17317} |
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: Benjamin, James, Isabella, Chloe, and Charlotte. Benjamin expressed that if Charlotte is a fool then ((Chloe is a fool if and only if James is a sage) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1762, \"statements\": [[\"->\", [\"lying\", 4], [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"<=>\", [\"l... | {"split": "train", "index": 17318} |
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, Emma, Elizabeth, Aria, and Ava. \"(Elizabeth is a saint and (if Emma is a saint then Charlotte is a saint) and (if Charlotte is a saint th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1763, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"telling-truth\", 0],... | {"split": "train", "index": 17319} |
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: Mason, Harper, Zoey, Olivia, and Aurora. Mason expressed that (Aurora is a saint if and only if (Aurora is a saint or Harper is a sinner)) or ((Zoey ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1764, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"telling-tr... | {"split": "train", "index": 17320} |
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: Samuel, Oliver, Michael, Penelope, and Emily. In Samuel's words: \"if (it is not the case that (Michael is a pioneer and Samuel is a pioneer)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1765, \"statements\": [[\"->\", [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"->\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]]]], [\"lying\", 3], [\"not\", [\"not\", [\... | {"split": "train", "index": 17321} |
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: Amelia, Michael, Matthew, Sebastian, and Avery. In Amelia's words: \"if ((Michael is a sage if and only if Avery is a fool) if and only if (Michael is a fo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1766, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"lying\", 1], [\"lying\", 3]]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"or\", [\"lying\", 2], [\"t... | {"split": "train", "index": 17322} |
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: Abigail, Evelyn, Riley, Grace, and Lucas. \"(Lucas is a saint and (Grace is a saint or Riley is a sinner or Grace is a sinner)) if and only if (it is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1767, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 3]]], [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]]], [\"and\", [\"or\", [\"and\", [... | {"split": "train", "index": 17323} |
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: Jacob, Samuel, Amelia, James, and Lucas. Jacob said that Amelia is a sage. Samuel told you that (it is not the case that (Amelia is a sage and Amelia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1768, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"not\", [\"lying\", 0]]], [\"lying\", 3]], [\... | {"split": "train", "index": 17324} |
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: Jack, Sebastian, Lily, Olivia, and Aria. In Jack's words: \"it is not the case that ((if Sebastian is an egoist then Aria is an altruist) or (A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1769, \"statements\": [[\"not\", [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"and\", [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 4]]]], [\"or\"... | {"split": "train", "index": 17325} |
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: Logan, Mason, Amelia, Benjamin, and Charlotte. \"Benjamin is a knight\" - Logan. Mason remarked, \"(if (Logan is a knave and Logan is a knight and Ch... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1770, \"statements\": [[\"not\", [\"lying\", 3]], [\"<=>\", [\"->\", [\"and\", [\"lying\", 0], [\"telling-truth\", 0], [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"lying\", 0], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"telling-t... | {"split": "train", "index": 17326} |
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: Chloe, Victoria, Scarlett, Olivia, and Elizabeth. As Chloe put it, \"(Scarlett is a knave and (Victoria is a knave)) or (it is not the case that (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1771, \"statements\": [[\"or\", [\"and\", [\"lying\", 2], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [... | {"split": "train", "index": 17327} |
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, Grace, Zoey, Elizabeth, and Jacob. David asserted: \"((Elizabeth is a devil) and (if Zoey is a devil then Jacob is an angel) and (David is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1772, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"... | {"split": "train", "index": 17328} |
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: Chloe, Luke, Ella, Henry, and Sofia. \"Luke is a fool,\" Chloe mentioned. Luke expressed that ((Ella is a sage and Sofia is a sage and Chloe is a sage) if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1773, \"statements\": [[\"lying\", 1], [\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"lying\", 0], [\"or\", [\"telli... | {"split": "train", "index": 17329} |
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: Elizabeth, Logan, Henry, Samuel, and Riley. Elizabeth commented, \"(it is not the case that (Samuel is a pioneer or Henry is a pioneer)) and ((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1774, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]]]], [\"not\", [\"lying\", 2]],... | {"split": "train", "index": 17330} |
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: Sebastian, William, Victoria, Samuel, and Isabella. Sebastian was heard saying, \"if ((William is a hero or Sebastian is a hero or Victoria is a vill... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1775, \"statements\": [[\"->\", [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 2]], [\"telling-truth\", 0]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]]]], [\"and\", [\"te... | {"split": "train", "index": 17331} |
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: David, Charlotte, Luke, William, and Logan. David stated, \"if Charlotte is a knave then ((Charlotte is a knight and William is a knave) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1776, \"statements\": [[\"->\", [\"lying\", 1], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]]], [\"lying\", 3], [\"or\", [\"and\", [\"lying\", 0], [\"not\", [\"l... | {"split": "train", "index": 17332} |
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, Jack, James, Daniel, and Scarlett. Abigail commented, \"((Scarlett is a devil or James is an angel or Abigail is an angel) and James is an ang... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1777, \"statements\": [[\"and\", [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"telling-truth\", 2], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"and\", [\"telling-tru... | {"split": "train", "index": 17333} |
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: Aurora, Jack, Grace, Ava, and Sofia. Aurora said that ((if Jack is a knave then Sofia is a knave) or (Ava is a knight)) or ((Ava is a knight or Ava i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1778, \"statements\": [[\"or\", [\"or\", [\"->\", [\"lying\", 1], [\"lying\", 4]], [\"not\", [\"lying\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"lyi... | {"split": "train", "index": 17334} |
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: Luke, Penelope, Sofia, Aiden, and Elizabeth. Luke commented, \"(it is not the case that (Aiden is a pioneer if and only if Sofia is a pioneer))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1779, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"lying\", 3]], [\"or\", [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"lying\", 0... | {"split": "train", "index": 17335} |
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, Lucas, Aria, Emily, and Ella. Owen was heard saying, \"((Emily is a fool if and only if Aria is a sage) and (Lucas is a sage and Aria is a sage and A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1780, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"te... | {"split": "train", "index": 17336} |
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, Samuel, Emma, Jacob, and Avery. Scarlett told you that if ((if Jacob is an egoist then Avery is an altruist) and (Emma is an egoist i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1781, \"statements\": [[\"->\", [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"not\", [\"lying\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4... | {"split": "train", "index": 17337} |
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, Elizabeth, Harper, Ella, and Liam. \"Elizabeth is a hero or (if (Harper is a villain or Elizabeth is a hero or Ella is a villain) then (Ella i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1782, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 0]]]], [\"lying\", 3], [\"lying\", 1], [\"or\", [... | {"split": "train", "index": 17338} |
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: Aiden, Jack, Mia, Henry, and Avery. Aiden told you that Mia is a villain. Jack commented, \"it is not the case that (if (Henry is a hero and Henry is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1783, \"statements\": [[\"lying\", 2], [\"not\", [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]]], [\"not\", [\"lying\", 1]], [\"and\", [\"or\", [\"<=>\", [... | {"split": "train", "index": 17339} |
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: Emily, Evelyn, Mia, Avery, and Jacob. Emily stated, \"if Emily is a sage then (it is not the case that (Evelyn is a sage and Jacob is a fool and Mia is a f... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1784, \"statements\": [[\"->\", [\"telling-truth\", 0], [\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 2]]]], [\"and\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"or\", [\"t... | {"split": "train", "index": 17340} |
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: Emma, David, Noah, Sofia, and Benjamin. Emma asserted: \"it is not the case that (it is not the case that (Sofia is a sage or Benjamin is a sage or Emma is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1785, \"statements\": [[\"not\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-truth\", 0]]]], [\"not\", [\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"lying\", 3]]], [\"... | {"split": "train", "index": 17341} |
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: Logan, Lily, David, Harper, and James. Logan said, \"((if Harper is an altruist then James is an altruist) and James is an egoist) or Lily is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1786, \"statements\": [[\"or\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"lying\", 4]], [\"telling-truth\", 1]], [\"or\", [\"and\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"lying\", ... | {"split": "train", "index": 17342} |
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: Ethan, Emma, Aria, Harper, and Alexander. Ethan was heard saying, \"((if Alexander is a sinner then Harper is a sinner) if and only if (if Emma is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1787, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"lying\", 1]], [\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-... | {"split": "train", "index": 17343} |
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: Abigail, Henry, Jackson, Charlotte, and Penelope. Abigail expressed that Charlotte is a fool. Henry expressed that Jackson is a sage. Jackson said that Jac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1788, \"statements\": [[\"lying\", 3], [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 3], [\"lying\", 1]]]], [\"and\", [\"->\", [\"... | {"split": "train", "index": 17344} |
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: Zoey, Mia, Harper, Aurora, and David. In Zoey's words: \"David is a hero\". Mia expressed that Zoey is a villain. Harper stated, \"(if Mia is a hero ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1789, \"statements\": [[\"telling-truth\", 4], [\"lying\", 0], [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"<=>\", [... | {"split": "train", "index": 17345} |
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: Aria, Aurora, Sofia, Michael, and Chloe. Aria said that it is not the case that ((if Sofia is a knight then Michael is a knight) if and only if (if C... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1790, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]]], [\"and\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", ... | {"split": "train", "index": 17346} |
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: James, David, Mia, Lily, and Michael. According to James, \"(if (James is a hero and Lily is a hero and Lily is a villain) then (Michael is a villain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1791, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-tr... | {"split": "train", "index": 17347} |
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, William, Henry, Emily, and Oliver. Charlotte told you that (it is not the case that (Henry is a saint if and only if Emily is a sinner)) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1792, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"or\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"and\", [\"lying\", 4], [\"telling-t... | {"split": "train", "index": 17348} |
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: Penelope, Abigail, Charlotte, Sophia, and William. Penelope stated, \"(Charlotte is a sage) if and only if ((William is a fool) and Charlotte is a sage and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1793, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 2]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"or\", [\"lying\", 0], [\"telling-truth\", 3], [\"... | {"split": "train", "index": 17349} |
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: Scarlett, Logan, Penelope, Noah, and Aurora. Scarlett expressed that Aurora is a knave. In Logan's words: \"(it is not the case that (Penelope is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1794, \"statements\": [[\"lying\", 4], [\"or\", [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"lying\", 4], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"telling... | {"split": "train", "index": 17350} |
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, Elizabeth, Liam, Ethan, and Sebastian. \"(Liam is a devil or (Ethan is an angel if and only if Sebastian is a devil)) if and only if (if (Will... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1795, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]]], [\"or\", [\"... | {"split": "train", "index": 17351} |
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: Sophia, Chloe, Liam, Jackson, and Lucas. \"if ((if Lucas is an angel then Liam is a devil) if and only if (Liam is a devil)) then (it is not the case t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1796, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 2]]]], [\"not\", [\"<=>\", ... | {"split": "train", "index": 17352} |
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, Abigail, Isabella, Grace, and Ella. Penelope commented, \"Grace is a pioneer\". In Abigail's words: \"Penelope is a pioneer\". Isabel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1797, \"statements\": [[\"telling-truth\", 3], [\"telling-truth\", 0], [\"not\", [\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0]], [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]]], [\"->\", [\"and\", [\"or\", [\"l... | {"split": "train", "index": 17353} |
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: Jacob, Avery, Evelyn, Daniel, and Henry. In a statement by Jacob: \"it is not the case that ((if Evelyn is a pioneer then Evelyn is a laggard) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1798, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]]], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"telling-truth\", 4], [\"and\"... | {"split": "train", "index": 17354} |
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: Harper, Samuel, James, Emily, and Amelia. Harper commented, \"((Amelia is a knight or Amelia is a knave) and Harper is a knight and Samuel is a knave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1799, \"statements\": [[\"or\", [\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]], [\"telling-truth\", 0], [\"lying\", 1]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 1]], [\"<=>\", [\"tel... | {"split": "train", "index": 17355} |
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, Alexander, Mia, David, and Luke. \"Alexander is a laggard\" - Emma. Alexander expressed that (Luke is a laggard if and only if (if Luke i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1800, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"lying\", 2]], [\"and\", [\"and\", [\"not\", [\"telling-truth\", 2]], [... | {"split": "train", "index": 17356} |
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: Liam, Jacob, Ella, Luke, and Sophia. Liam commented, \"((Sophia is a hero or Luke is a villain or Ella is a villain) or (Jacob is a villain) or (Ella... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1801, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 2]], [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"lying\", 2]]], [\"and\"... | {"split": "train", "index": 17357} |
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, Jack, Olivia, Charlotte, and Lucas. Owen said that it is not the case that (if (Charlotte is a hero and Jack is a villain and Olivia is a hero)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1802, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]]], [\"lying\", 3], [\"and\", [\"or\", [\"<=>\", [\"lying\", ... | {"split": "train", "index": 17358} |
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: Michael, David, Emily, Joseph, and Matthew. According to Michael, \"Joseph is an egoist and (if (if Matthew is an altruist then Michael is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1803, \"statements\": [[\"and\", [\"lying\", 3], [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth... | {"split": "train", "index": 17359} |
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: Emily, Abigail, Chloe, David, and Noah. Emily stated, \"(it is not the case that (Chloe is a pioneer)) if and only if (Abigail is a pioneer or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1804, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"lying\", 2]]], [\"or\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"<=>\", [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"lying\", 2]], [\"<=>\", [\"or\", [\"tel... | {"split": "train", "index": 17360} |
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: James, Aiden, David, Riley, and Liam. \"(it is not the case that (David is a saint)) or ((Liam is a sinner if and only if Riley is a sinner) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1805, \"statements\": [[\"or\", [\"not\", [\"not\", [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"telling-trut... | {"split": "train", "index": 17361} |
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: David, Elizabeth, Olivia, Riley, and James. David remarked, \"David is a saint or ((Elizabeth is a saint and Olivia is a saint) if and only if (Olivi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1806, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]]], [\"or\", [\"lying\", 3], [\"and\", [\"<=... | {"split": "train", "index": 17362} |
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, Aiden, Victoria, Scarlett, and Michael. Olivia stated, \"Michael is a devil\". Aiden asserted: \"((Michael is a devil if and only if Aiden is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1807, \"statements\": [[\"lying\", 4], [\"and\", [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 1], [\"lying\", 0], [\"lying\", 4]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"t... | {"split": "train", "index": 17363} |
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: Harper, Emma, Grace, Scarlett, and James. Harper asserted: \"Grace is an angel\". Emma asserted: \"(if Scarlett is a devil then (Scarlett is a devil)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1808, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"->\", [\"lying\", 3], [\"not\", [\"telling-truth\", 3]]], [\"lying\", 2], [\"not\", [\"not\", [\"lying\", 3]]]], [\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [... | {"split": "train", "index": 17364} |
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: Joseph, Emily, Logan, Jackson, and Lucas. Joseph said, \"it is not the case that (Jackson is a sinner).\" Emily was heard saying, \"Jackson is a sain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1809, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"lying\", 3]], [\"->\", [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"not\",... | {"split": "train", "index": 17365} |
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: Sophia, Charlotte, Elizabeth, Amelia, and Grace. Sophia commented, \"Elizabeth is an angel and (it is not the case that (Elizabeth is a devil if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1810, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"lying\", 4]], [\"<=>\", [\"->\", [\"lying\", 2], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"<=>\", [... | {"split": "train", "index": 17366} |
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: Joseph, Henry, Matthew, Ava, and Aurora. Joseph remarked, \"(if (if Ava is a saint then Henry is a sinner) then Matthew is a saint) if and only if ((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1811, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 1]], [\"telling-truth\", 2]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 2], [\"lyin... | {"split": "train", "index": 17367} |
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: Luke, Mason, Alexander, Penelope, and Oliver. Luke expressed that if ((if Oliver is a devil then Mason is an angel) or (Luke is a devil) or (Mason is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1812, \"statements\": [[\"->\", [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"or\", [\"or\", [\"lying\", 4], [\"lying\", 3]... | {"split": "train", "index": 17368} |
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: Benjamin, Zoey, Ethan, Owen, and Sofia. \"it is not the case that ((Owen is a laggard if and only if Sofia is a pioneer) if and only if (Owen i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1813, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"telling-truth\", 0]]]], [\"telling-truth\", 1], [\"->\", [\"and\", [\"->\", [\"l... | {"split": "train", "index": 17369} |
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: Joseph, Oliver, William, Chloe, and Elizabeth. Joseph said that Chloe is a devil or (it is not the case that (William is a devil or Joseph is an angel)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1814, \"statements\": [[\"or\", [\"lying\", 3], [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"lying\", 3]], [\"telling-truth\", 3], [\"->\", [\"tellin... | {"split": "train", "index": 17370} |
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, Emma, Aurora, Harper, and Isabella. Lily expressed that if Aurora is a sage then Isabella is a sage. As Emma put it, \"((Harper is a sage and Isabell... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1815, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"->\", [\"<=>... | {"split": "train", "index": 17371} |
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, Amelia, Owen, James, and Ethan. Grace asserted: \"if Owen is a devil then (it is not the case that (Amelia is an angel and Grace is an angel))\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1816, \"statements\": [[\"->\", [\"lying\", 2], [\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]]]], [\"and\", [\"<=>\", [\"and\", [\"lying\", 0], [\"telling-truth\", 2]], [\"or\", [\"lying\", 2], [\"telling-... | {"split": "train", "index": 17372} |
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: Noah, Mason, Aurora, Scarlett, and Benjamin. Noah told you that (Benjamin is a villain) or (it is not the case that (Mason is a villain and Scarlett ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1817, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"and\", [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]]], [\"<=>\", [... | {"split": "train", "index": 17373} |
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: Zoey, Ava, Logan, Emily, and Samuel. Zoey commented, \"if ((if Samuel is an angel then Samuel is a devil) if and only if (if Emily is a devil then Zoey... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1818, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"or\", [\"lying\", 4]... | {"split": "train", "index": 17374} |
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: Oliver, Olivia, Ethan, Mason, and Mia. As Oliver put it, \"((Ethan is an egoist if and only if Oliver is an altruist) and (Mia is an egoist or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1819, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"telling-truth\", 4]], [\"telling-truth\", 4]], [\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1]... | {"split": "train", "index": 17375} |
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, Owen, Olivia, and Amelia. Mia commented, \"it is not the case that ((if Owen is a knight then Olivia is a knight) if and only if (Olivia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1820, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]]], [\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\... | {"split": "train", "index": 17376} |
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: Avery, James, Chloe, Alexander, and Victoria. In Avery's words: \"James is an egoist or ((James is an egoist) or (Victoria is an altruist)) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1821, \"statements\": [[\"or\", [\"lying\", 1], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 4]]], [\"->\", [\"lying\", 3], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]]]], [\"or\", [\"and\", [\"and\",... | {"split": "train", "index": 17377} |
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: Logan, Evelyn, Elizabeth, Benjamin, and Sebastian. Logan said, \"Sebastian is a sage or (if Sebastian is a sage then (Logan is a fool)) or ((if Evelyn is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1822, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"or\", [\"telling-truth\", 4], [\"tellin... | {"split": "train", "index": 17378} |
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: Mia, Lucas, Ethan, Aurora, and Ava. \"((Ethan is a hero if and only if Lucas is a villain) and (Mia is a hero or Lucas is a hero or Ava is a villain)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1823, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\... | {"split": "train", "index": 17379} |
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: James, Elizabeth, Ethan, Mia, and Avery. James commented, \"it is not the case that ((Mia is a villain and Elizabeth is a villain) and (Avery is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1824, \"statements\": [[\"not\", [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 1]], [\"or\", [\"lying\", 4], [\"telling-truth\", 4]]]], [\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 0]], [\"or\", [\"telli... | {"split": "train", "index": 17380} |
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: Isabella, Grace, Owen, Emma, and Emily. Isabella said that it is not the case that (if (Emily is a pioneer) then Emma is a pioneer). As Grace p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1825, \"statements\": [[\"not\", [\"->\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 4]]], [\"and\", [\... | {"split": "train", "index": 17381} |
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: Benjamin, Henry, Harper, Logan, and Jack. Benjamin was heard saying, \"if ((if Henry is a villain then Benjamin is a hero) and (if Henry is a hero th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1826, \"statements\": [[\"->\", [\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"not\", [\"and\... | {"split": "train", "index": 17382} |
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, Logan, Penelope, Sebastian, and Charlotte. Olivia told you that if ((if Penelope is a knight then Sebastian is a knight) and (Charlotte is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1827, \"statements\": [[\"->\", [\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 4], [\"lying\", 2]]], [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-t... | {"split": "train", "index": 17383} |
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: Emma, Aria, Luke, Sophia, and Aiden. Emma said, \"((Aiden is a sinner or Aria is a sinner or Emma is a saint) if and only if (Sophia is a saint and A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1828, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-trut... | {"split": "train", "index": 17384} |
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: Michael, Riley, David, Mason, and Oliver. Michael noted, \"it is not the case that ((Riley is a saint if and only if Oliver is a saint) or (Riley is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1829, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 1]]]], [\"telling-truth\", 4], [\"not\", [\"and\", [\"and\", [\"telling-truth\", 3], [\"telling... | {"split": "train", "index": 17385} |
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, Mason, Avery, Oliver, and Riley. According to Sofia, \"it is not the case that (if (Oliver is a pioneer if and only if Mason is a laggar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1830, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"->\", [\"lying\", 4], [\"lying\", 1]]]], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [... | {"split": "train", "index": 17386} |
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, Benjamin, Emily, Oliver, and Emma. Ava told you that it is not the case that (if (Emma is a laggard and Oliver is a laggard and Emily is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1831, \"statements\": [[\"not\", [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]]], [\"telling-truth\", 4], [\"not\", [\"<=>\", [\"and\", [\"lying\"... | {"split": "train", "index": 17387} |
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: Scarlett, Luke, Sofia, Lucas, and Jack. Scarlett remarked, \"(if (Jack is a hero) then (Sofia is a hero and Lucas is a villain)) if and only if Luke ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1832, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"telling-truth\", 1]], [\"or\", [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"->\", [... | {"split": "train", "index": 17388} |
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: David, Benjamin, Aurora, Penelope, and Isabella. David was heard saying, \"(if (Benjamin is a knave or Aurora is a knight or Isabella is a knight) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1833, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1],... | {"split": "train", "index": 17389} |
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: Aiden, Amelia, Isabella, Ava, and Joseph. In Aiden's words: \"if (if Amelia is a knight then (Isabella is a knave)) then (if (Joseph is a knight and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1834, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 2]], [\"->\", [\"lying\", 1], [\"telling-truth... | {"split": "train", "index": 17390} |
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: Sophia, Henry, Oliver, Matthew, and Mia. In Sophia's words: \"(it is not the case that (Matthew is a pioneer and Mia is a laggard)) and ((Matth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1835, \"statements\": [[\"and\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"a... | {"split": "train", "index": 17391} |
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: Evelyn, Riley, Jacob, Chloe, and Emma. Evelyn noted, \"Evelyn is a saint\". \"(it is not the case that (Jacob is a sinner)) and Riley is a saint,\" R... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1836, \"statements\": [[\"telling-truth\", 0], [\"and\", [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"telling-truth\", 1]], [\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"<=>\", [\"lying\", 0], [\"tel... | {"split": "train", "index": 17392} |
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: Liam, Sophia, Benjamin, Noah, and Sofia. Liam stated, \"(if (Benjamin is a devil) then (Benjamin is an angel)) and ((if Benjamin is an angel then Sophi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1837, \"statements\": [[\"and\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\",... | {"split": "train", "index": 17393} |
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: Evelyn, Penelope, Logan, Joseph, and Lily. Evelyn said that if ((Logan is a knave and Lily is a knight and Penelope is a knave) and (Lily is a knight... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1838, \"statements\": [[\"->\", [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 1]], [\"or\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"lying\", 2]], [\"and\", [\"not\", [\"->\", [\"lying\", 2], [\"t... | {"split": "train", "index": 17394} |
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, Luke, Grace, Ethan, and Victoria. In Owen's words: \"if Victoria is a fool then (if Ethan is a sage then Owen is a sage)\". Luke said that it is not ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1839, \"statements\": [[\"->\", [\"lying\", 4], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"not\", [\"lying\", 2]]]], [\"<=>\", [\"telling-truth\", 4], [\"and\", [\"and\", [\"telling-truth... | {"split": "train", "index": 17395} |
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: Harper, Olivia, Samuel, Penelope, and Luke. Harper commented, \"(if Samuel is a fool then (Samuel is a sage if and only if Luke is a sage)) if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1840, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"lying\", 1], [\"lying\", 2], [\"tell... | {"split": "train", "index": 17396} |
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: Sophia, Oliver, Jack, David, and Daniel. In a statement by Sophia: \"((Daniel is an egoist and Sophia is an altruist and Oliver is an egoist) i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1841, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0], [\"lying\", 1]], [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 0]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"t... | {"split": "train", "index": 17397} |
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: Sebastian, Samuel, Aurora, Ella, and Scarlett. \"Aurora is an egoist,\" Sebastian mentioned. \"Ella is an egoist or Aurora is an egoist or (it ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1842, \"statements\": [[\"lying\", 2], [\"or\", [\"lying\", 3], [\"lying\", 2], [\"not\", [\"and\", [\"lying\", 0], [\"telling-truth\", 3]]]], [\"telling-truth\", 2], [\"and\", [\"or\", [\"->\", [\"lying\", 0], [\"telling-trut... | {"split": "train", "index": 17398} |
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: Noah, Elizabeth, Aiden, Liam, and Penelope. Noah stated, \"Elizabeth is a laggard\". Elizabeth remarked, \"if Elizabeth is a pioneer then Liam ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1843, \"statements\": [[\"lying\", 1], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"lying\", 1], [\"not\", [\"<=>\", [\"not\", [\"lying\", 0]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]]], [\"telling-tru... | {"split": "train", "index": 17399} |
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