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 sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Olivia, Emily, Lucas, Oliver, and Abigail. Olivia was heard saying, \"Abigail is a fool\". As Emily put it, \"(Oliver is a fool or Abigail is a sage) or Ol... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1632, \"statements\": [[\"lying\", 4], [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4], [\"and\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"lying\", 4], [\"->\", ... | {"split": "train", "index": 8300} |
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, Lucas, Oliver, Chloe, and Liam. In Luke's words: \"if (Lucas is a devil if and only if Liam is an angel) then (Lucas is a devil or Chloe is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1633, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"or\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"telling-truth\", 4], [\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], ... | {"split": "train", "index": 8301} |
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, Alexander, Oliver, Liam, and Victoria. Sofia said, \"if (Victoria is a laggard) then (Alexander is a laggard if and only if Victoria is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1634, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 1], [\"lying\", 4]]], [\"telling-truth\", 0], [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]... | {"split": "train", "index": 8302} |
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: Oliver, Grace, Alexander, Isabella, and Amelia. Oliver expressed that (if Grace is a hero then Isabella is a hero) if and only if (Grace is a villain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1635, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"lying\", 1], [\"lying\", 4]]], [\"lying\", 4], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"not\", [\"a... | {"split": "train", "index": 8303} |
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: Matthew, Samuel, Noah, Avery, and Sebastian. According to Matthew, \"(Matthew is a sage or Samuel is a fool) or (Noah is a sage or Samuel is a fool)\". Sam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1636, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"not\", [\"and\", [\"lying\", 2], [\"lying\", 3]]], [\"telling-truth\", 4], [\"and\", [\"<=... | {"split": "train", "index": 8304} |
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: Joseph, Amelia, Abigail, Logan, and Owen. \"Owen is a sage or (Amelia is a sage and Owen is a sage)\" - Joseph. Amelia commented, \"(Joseph is a fool) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1637, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"and... | {"split": "train", "index": 8305} |
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, Abigail, Lily, Liam, and Penelope. Jackson said that Abigail is an altruist and Lily is an egoist. Abigail told you that if (Jackson i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1638, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"lying\", 2]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying\", 2], [\"lying\", 3]]], [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 0]], [\"telling-t... | {"split": "train", "index": 8306} |
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: Scarlett, Lucas, Aiden, Sebastian, and Aria. \"Aria is an angel,\" Scarlett mentioned. Lucas noted, \"(if Sebastian is a devil then Scarlett is an ange... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1639, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"telling-truth\", 4]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"lying\", 0], [\... | {"split": "train", "index": 8307} |
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, Lily, Michael, William, and Lucas. As Liam put it, \"(Lucas is a sage if and only if Lily is a fool) and (if Lucas is a sage then Lily is a sage)\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1640, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"lying\", 0], [\"lying\", 2]], [\"->\", [\"lying\", 4], [\"lyin... | {"split": "train", "index": 8308} |
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, Jackson, Olivia, Mia, and Avery. Emma asserted: \"if (Mia is a sinner or Olivia is a saint) then (Mia is a saint and Avery is a sinner)\". In a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1641, \"statements\": [[\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"or\", [\"<=>\", [\"lying\", 0], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"lyi... | {"split": "train", "index": 8309} |
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, William, Henry, Riley, and Mason. Oliver said, \"if (William is an altruist or Riley is an egoist) then (Riley is an egoist if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1642, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"lying\", 0], [\"telling-truth\", 0], [\"and\", [\"lying\", 0], [\"<=>\", [\"lying\", 0], ... | {"split": "train", "index": 8310} |
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: Daniel, Chloe, Noah, Ella, and Penelope. Daniel asserted: \"(if Ella is a fool then Ella is a sage) and (if Noah is a fool then Penelope is a fool)\". Chlo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1643, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 0]], [\"->\", [\"lying\", 0], [\"->\", [\"t... | {"split": "train", "index": 8311} |
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, Ava, Charlotte, Alexander, and Daniel. As Elizabeth put it, \"(Daniel is a fool) if and only if (Alexander is a sage or Charlotte is a sage)\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1644, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3]], [\"lying\", 3]], [\"<=>\", [\"not\", [\... | {"split": "train", "index": 8312} |
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: Amelia, Aurora, Sebastian, Mason, and Harper. Amelia told you that if (Sebastian is an altruist if and only if Aurora is an egoist) then (Auror... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1645, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"or\", [\"lying\", 1], [\"lying\", 4]]], [\"telling-truth\", 3], [\"->\", [\"and\", [\"lying\", 1], [\"lying\", 0]], [\"<=>\", [\"telling-tru... | {"split": "train", "index": 8313} |
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, Aiden, Logan, Evelyn, and Jack. As Elizabeth put it, \"(Aiden is a knight or Logan is a knight) if and only if (if Aiden is a knave then E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1646, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"->\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"->\", [\"telling-tr... | {"split": "train", "index": 8314} |
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, Ella, Michael, Jacob, and Aria. In a statement by Mason: \"(Michael is a knight) if and only if (Aria is a knight and Michael is a knight)\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1647, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"telling-truth\", 1]], [\"and\", [\"->\", [\... | {"split": "train", "index": 8315} |
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: Jackson, David, Joseph, Jacob, and Elizabeth. Jackson commented, \"Jacob is a laggard and (Jacob is a laggard if and only if Joseph is a laggar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1648, \"statements\": [[\"and\", [\"lying\", 3], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"and\", [\"lying\", 4], [\"a... | {"split": "train", "index": 8316} |
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: Samuel, Mia, Owen, Olivia, and Jack. \"Mia is a sage,\" Samuel declared. \"Olivia is a fool and Owen is a fool,\" Mia declared. In a statement by Owen: \"i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1649, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"not\", [\"lying\", 0]]], [\"lying\", 1], [\"telling-truth\", 2]],... | {"split": "train", "index": 8317} |
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: Jack, Abigail, Scarlett, Jackson, and Emma. \"(Scarlett is a saint if and only if Jackson is a sinner) or (Jackson is a saint and Jack is a saint)\" ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1650, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"telling-truth\", 0], [\"<=>\", [\"lying\", 2], [\"lying\", 0]]], [\"no... | {"split": "train", "index": 8318} |
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: Noah, William, Ella, Alexander, and Olivia. According to Noah, \"(Ella is a fool and William is a fool) if and only if (Olivia is a sage if and only if Wil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1651, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 2], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"telling-truth\", 0], [\"n... | {"split": "train", "index": 8319} |
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, Benjamin, Charlotte, Lucas, and Sebastian. According to Penelope, \"Benjamin is a sage\". Benjamin asserted: \"(Lucas is a fool or Charlotte is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1652, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"<=>\", [\"telling-truth\", 0], [\"<=>\", [\"lying\", 1], [\"tell... | {"split": "train", "index": 8320} |
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: Alexander, Amelia, Olivia, Noah, and Chloe. As Alexander put it, \"Noah is a villain\". Amelia said that (Olivia is a villain) and (Amelia is a hero ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1653, \"statements\": [[\"lying\", 3], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 0], [\"te... | {"split": "train", "index": 8321} |
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, Aurora, Michael, Logan, and Jackson. As Zoey put it, \"it is not the case that (Logan is an angel or Logan is a devil)\". \"it is not the case th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1654, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"or\", [\"or\", [\"lying\", 0], [\"lying\", 3]], [\"telling-truth\", 4]], [\"ly... | {"split": "train", "index": 8322} |
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, Ethan, Lily, Zoey, and William. \"(Zoey is a knave if and only if Ethan is a knight) or (if Zoey is a knight then Lily is a knave)\" - Mason. ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1655, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"telling-tru... | {"split": "train", "index": 8323} |
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, Mia, David, Oliver, and Abigail. \"David is an egoist and (Mia is an altruist)\" - Lily. Mia said that (Abigail is an altruist and Oliver... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1656, \"statements\": [[\"and\", [\"lying\", 2], [\"not\", [\"lying\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"not\", [\"->\", [\"lying\", 4], [\... | {"split": "train", "index": 8324} |
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, Jacob, Harper, Noah, and Abigail. Olivia noted, \"(Noah is a knave and Harper is a knight) if and only if (Abigail is a knave)\". As Jacob pu... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1657, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"<=>\", [... | {"split": "train", "index": 8325} |
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: Jacob, Grace, Ethan, Daniel, and Olivia. Jacob asserted: \"(if Daniel is a knight then Daniel is a knave) and (Jacob is a knight if and only if Danie... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1658, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"->\", [\"lying\", 0], [\"tell... | {"split": "train", "index": 8326} |
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: Samuel, Chloe, Jack, Jackson, and Victoria. Samuel commented, \"Jackson is a sinner\". According to Chloe, \"Jackson is a saint and (Victoria is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1659, \"statements\": [[\"lying\", 3], [\"and\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"->\", [\"->\", [\"lying\", 0], [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling... | {"split": "train", "index": 8327} |
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, Mason, Jacob, Joseph, and Zoey. Oliver said, \"Joseph is an egoist and (Zoey is an altruist if and only if Zoey is an egoist).\" Mason ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1660, \"statements\": [[\"and\", [\"lying\", 3], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"telling-tr... | {"split": "train", "index": 8328} |
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, Ella, Benjamin, Isabella, and Sebastian. Scarlett expressed that it is not the case that (Ella is an egoist). \"it is not the case th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1661, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"or\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 1], [\"telling-truth\"... | {"split": "train", "index": 8329} |
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: Owen, Joseph, Penelope, Sofia, and Sophia. Owen asserted: \"if (if Penelope is an angel then Sofia is an angel) then (Sofia is a devil)\". Joseph told ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1662, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"lying\", 0], [\"<=>\", [\"or\", [\"lying\", 0], [\"lying\", 3]], [\"or\", [\"lying\", 1], [\"lyin... | {"split": "train", "index": 8330} |
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: Samuel, Ella, Jack, Riley, and Elizabeth. Samuel noted, \"it is not the case that (Riley is an egoist and Elizabeth is an altruist)\". Ella rem... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1663, \"statements\": [[\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1]], [\"or\", [\"lying\", 3], [\"telling-... | {"split": "train", "index": 8331} |
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: Henry, Sophia, Jacob, Logan, and William. Henry told you that if (William is a sage and Logan is a fool) then (Jacob is a fool or William is a fool). Sophi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1664, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]], [\"or\", [\"lying\", 2], [\"lying\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"not\", [\"lying\", 0]]], [\"or\", [\"l... | {"split": "train", "index": 8332} |
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, Penelope, Jackson, Elizabeth, and Mason. In Chloe's words: \"Jackson is a sage\". Penelope was heard saying, \"(Elizabeth is a fool) and (Jackson is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1665, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"->\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]]... | {"split": "train", "index": 8333} |
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: Ava, Chloe, Michael, William, and Lucas. \"(Michael is a saint) if and only if Chloe is a sinner,\" Ava mentioned. Chloe commented, \"Ava is a saint\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1666, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 2]], [\"lying\", 1]], [\"not\", [\"lying\", 0]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 1]], [\"and\", [\"lying\", 3], [\"lying\", 1]]], [\"->\", [\"and\", [\"lyi... | {"split": "train", "index": 8334} |
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: Jackson, Chloe, Amelia, Sophia, and Logan. Jackson expressed that (Sophia is a villain) if and only if (Amelia is a villain or Sophia is a villain). ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1667, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], [\"lying\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\"... | {"split": "train", "index": 8335} |
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: Daniel, James, Mia, Samuel, and Ethan. \"(Samuel is a fool or James is a fool) or (Samuel is a sage),\" Daniel declared. \"(Daniel is a sage) or (Mia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1668, \"statements\": [[\"or\", [\"or\", [\"lying\", 3], [\"lying\", 1]], [\"not\", [\"lying\", 3]]], [\"or\", [\"not\", [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"and\", [\"telling-truth\", 4], [\... | {"split": "train", "index": 8336} |
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, Jackson, Olivia, Riley, and Liam. Luke asserted: \"it is not the case that (if Luke is a pioneer then Olivia is a pioneer)\". In a statem... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1669, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"or\"... | {"split": "train", "index": 8337} |
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, Chloe, Jack, Sebastian, and Aiden. \"(Aiden is a pioneer) and (Sebastian is a laggard or Chloe is a pioneer),\" Grace claimed. Chloe ass... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1670, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"and\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"->\", [\"... | {"split": "train", "index": 8338} |
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, Michael, Zoey, Mason, and Ethan. Harper noted, \"if Michael is a laggard then Michael is a pioneer\". Michael commented, \"it is not th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1671, \"statements\": [[\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"not\", [\"or\", [\"lying\", 2], [\"lying\", 3]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], [\"lyi... | {"split": "train", "index": 8339} |
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: Oliver, Harper, Riley, Ethan, and Benjamin. Oliver said, \"Oliver is a sage.\" \"(Riley is a sage or Benjamin is a fool) if and only if (Oliver is a fool o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1672, \"statements\": [[\"telling-truth\", 0], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"telling-truth\", 4], [\"<=>\", [\"or\", [\"lying\", 0], [\"tellin... | {"split": "train", "index": 8340} |
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, Aiden, Scarlett, Jacob, and Aurora. Evelyn commented, \"Aurora is an egoist\". Aiden stated, \"(Jacob is an egoist and Scarlett is an e... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1673, \"statements\": [[\"lying\", 4], [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 2]], [\"telling-truth\", 0]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"->\", [\"->\", [\"telling-truth\", 2]... | {"split": "train", "index": 8341} |
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, Benjamin, Penelope, Ella, and Noah. Mason said that Noah is a pioneer. \"(Ella is a laggard and Mason is a laggard) or (if Mason is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1674, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 0]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"lying\", 4], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying... | {"split": "train", "index": 8342} |
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: Charlotte, Ava, Emma, Chloe, and Daniel. Charlotte told you that if (if Chloe is a hero then Daniel is a villain) then (Ava is a hero if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1675, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3]], [\"->\", [\"telling-trut... | {"split": "train", "index": 8343} |
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, Henry, Aurora, Oliver, and Harper. William asserted: \"(Aurora is an egoist if and only if Aurora is an altruist) and (if Oliver is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1676, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"telling-truth\", 3], [\"not\", [\"not\", [\"lying\", 1]]], [\"not\", [\"telling-truth\",... | {"split": "train", "index": 8344} |
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: Michael, Jackson, James, Scarlett, and Daniel. Michael noted, \"(Daniel is a hero if and only if James is a villain) or (Scarlett is a hero or Jackso... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1677, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 2]... | {"split": "train", "index": 8345} |
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: Ethan, Abigail, Aurora, Logan, and Lily. Ethan told you that it is not the case that (Lily is a knave or Abigail is a knave). According to Abigail, \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1678, \"statements\": [[\"not\", [\"or\", [\"lying\", 4], [\"lying\", 1]]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"not\", [\"lying\", 2]]], [\"telling-truth\", 1], [\"<=>\", [\"or\", [\"lying\", 0], [\... | {"split": "train", "index": 8346} |
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: Emma, Emily, Henry, Ella, and Liam. Emma was heard saying, \"(Emily is a hero if and only if Ella is a hero) and (Ella is a villain and Ella is a her... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1679, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"lying\", 0], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]... | {"split": "train", "index": 8347} |
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: Penelope, Daniel, Ethan, Joseph, and William. Penelope told you that (if William is a hero then Joseph is a hero) if and only if (Joseph is a hero or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1680, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"or\", [\"lying\", 3], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"not\... | {"split": "train", "index": 8348} |
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, Mason, Evelyn, Noah, and Sophia. \"Evelyn is a pioneer\" - Victoria. Mason told you that Victoria is a laggard. In Evelyn's words: \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1681, \"statements\": [[\"telling-truth\", 2], [\"lying\", 0], [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 1]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth... | {"split": "train", "index": 8349} |
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: Owen, Zoey, Avery, Ethan, and Aria. Owen commented, \"Aria is a sinner or (Aria is a saint)\". As Zoey put it, \"if (if Ethan is a saint then Ethan i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1682, \"statements\": [[\"or\", [\"lying\", 4], [\"not\", [\"lying\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 3]... | {"split": "train", "index": 8350} |
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: Isabella, Evelyn, Oliver, Harper, and Avery. \"(Avery is an angel) or (Oliver is a devil or Avery is an angel),\" Isabella declared. Evelyn asserted: \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1683, \"statements\": [[\"or\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"lying\", 4]]], [\"not\", [\"<=>\", [\"tell... | {"split": "train", "index": 8351} |
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: Samuel, Elizabeth, Alexander, Olivia, and Abigail. \"(Olivia is an altruist) if and only if (Olivia is an egoist or Elizabeth is an altruist),\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1684, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 3]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 3]]], [\"lying\", 4], [\"-... | {"split": "train", "index": 8352} |
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, Victoria, Jacob, Ethan, and Mason. \"if Jacob is a fool then (Victoria is a sage and Ethan is a sage)\" - Mia. Victoria stated, \"(Ethan is a sage) an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1685, \"statements\": [[\"->\", [\"lying\", 2], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"and\", [\"and\", [\"lying\"... | {"split": "train", "index": 8353} |
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, Chloe, William, David, and Aiden. Sebastian asserted: \"it is not the case that (if William is a pioneer then David is a pioneer)\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1686, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"telling-truth\", 4], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 1]], [\"lying\", 0]], [\"<=>\", [\"not\", [\"telling-tr... | {"split": "train", "index": 8354} |
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: Jackson, Sophia, Sofia, Victoria, and Luke. Jackson said, \"(Victoria is a sage if and only if Sofia is a sage) and (Sofia is a sage if and only if Luke is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1687, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"and\", [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", ... | {"split": "train", "index": 8355} |
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, Isabella, Logan, Jacob, and Charlotte. Olivia told you that (Olivia is a knight if and only if Logan is a knight) and (Charlotte is a knight ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1688, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"not\", [\"telling-truth\", 0]], [\"not\", [\"not\", [\"lying\", 4]]], [\"<=>\",... | {"split": "train", "index": 8356} |
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, Mason, Isabella, Jack, and Mia. \"(Jack is a pioneer if and only if Mason is a laggard) and (if Jack is a laggard then Mason is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1689, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"lying\", 4]], [\"and... | {"split": "train", "index": 8357} |
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: Matthew, Ava, Alexander, Grace, and Samuel. Matthew was heard saying, \"(Grace is a hero or Ava is a villain) and (if Samuel is a villain then Samuel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1690, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"and\", [\"lying\", 3], [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"->\", [\"->\... | {"split": "train", "index": 8358} |
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: Aria, Elizabeth, Logan, Charlotte, and Amelia. Aria said, \"(Logan is a sage) and (Logan is a sage or Aria is a sage).\" Elizabeth stated, \"Amelia is a fo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1691, \"statements\": [[\"and\", [\"not\", [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"and\", [\"lying\", 4], [\"and\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"lying\", 1], [\"->\", [\"a... | {"split": "train", "index": 8359} |
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, Aurora, Luke, Sofia, and Aiden. Jackson remarked, \"if (Aurora is a knave if and only if Aiden is a knave) then Aiden is a knight\". Aurora ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1692, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"telling-truth\", 4]], [\"not\", [\"not\", [\"lying\", 4]]], [\"and\", [\"telling-truth\", 3], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"... | {"split": "train", "index": 8360} |
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, Joseph, Matthew, Abigail, and Michael. Avery was heard saying, \"Joseph is an egoist\". Joseph asserted: \"(Abigail is an altruist or Ab... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1693, \"statements\": [[\"lying\", 1], [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]]],... | {"split": "train", "index": 8361} |
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, Jackson, Chloe, Aurora, and Elizabeth. Aiden asserted: \"it is not the case that (Aurora is a hero or Chloe is a hero)\". \"(Aurora is a villa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1694, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 2]], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]], [\"not\", [\"... | {"split": "train", "index": 8362} |
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: Mason, Sofia, Oliver, Lucas, and Isabella. As Mason put it, \"(Lucas is a villain and Isabella is a hero) or (Isabella is a hero and Isabella is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1695, \"statements\": [[\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"->\", [\"<=>\", [\"lying\", 0], [\"lying\", 3]], [\"and\", [\"lying\", 0], [\"lying\", 2... | {"split": "train", "index": 8363} |
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, Charlotte, James, Grace, and Scarlett. Aiden expressed that Scarlett is a hero. As Charlotte put it, \"Grace is a hero\". James noted, \"if (C... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1696, \"statements\": [[\"telling-truth\", 4], [\"telling-truth\", 3], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"not\", [\"lying\", 1... | {"split": "train", "index": 8364} |
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: Jackson, Liam, Benjamin, David, and Sebastian. \"(David is a hero or Sebastian is a hero) and (if Sebastian is a hero then Liam is a hero),\" Jackson... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1697, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0]], [\"->\", [\"tell... | {"split": "train", "index": 8365} |
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, Mason, Emily, Aurora, and Aria. As Owen put it, \"(Mason is a hero) or Aria is a villain\". \"(Aria is a villain and Owen is a villain) and (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1698, \"statements\": [[\"or\", [\"not\", [\"lying\", 1]], [\"lying\", 4]], [\"and\", [\"and\", [\"lying\", 4], [\"lying\", 0]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"lying\", 4], [\"... | {"split": "train", "index": 8366} |
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: Michael, Daniel, Noah, Emily, and Sebastian. \"Sebastian is a knight and Daniel is a knight\" - Michael. Daniel was heard saying, \"(Noah is a knave ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1699, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]], [\"and\", [\"lying\", 2], [\"lying\", 4]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"o... | {"split": "train", "index": 8367} |
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: Jackson, Owen, Henry, Michael, and Sebastian. \"(Michael is an angel) if and only if (Jackson is an angel and Henry is a devil),\" Jackson claimed. \"i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1700, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"not\", [\"<=>\", [\"lying\", 0], [\"lying\", 4]]], [\"lying\", 1], [\"lying\", 0], [\"and\", [\"telling-truth\"... | {"split": "train", "index": 8368} |
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: Scarlett, Samuel, Ella, Isabella, and Amelia. According to Scarlett, \"if (Scarlett is a pioneer and Samuel is a pioneer) then Samuel is a lagg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1701, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"lying\", 1]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 0]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"or\"... | {"split": "train", "index": 8369} |
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: Noah, Mason, Aria, Oliver, and Benjamin. Noah stated, \"(Benjamin is an egoist if and only if Mason is an egoist) or (if Oliver is an egoist th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1702, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 4], ... | {"split": "train", "index": 8370} |
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, Henry, Samuel, Logan, and Oliver. Benjamin remarked, \"if Samuel is a fool then (if Oliver is a fool then Oliver is a sage)\". Henry stated, \"it... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1703, \"statements\": [[\"->\", [\"lying\", 2], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 1]], [\"<=>\", [\"... | {"split": "train", "index": 8371} |
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: Abigail, Penelope, Samuel, Zoey, and Noah. In a statement by Abigail: \"Penelope is a knave\". Penelope told you that Zoey is a knave. As Samuel put ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1704, \"statements\": [[\"lying\", 1], [\"lying\", 3], [\"->\", [\"or\", [\"lying\", 1], [\"lying\", 3]], [\"telling-truth\", 4]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"telling-... | {"split": "train", "index": 8372} |
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, Joseph, Zoey, Ethan, and Jack. \"(Ethan is a saint or Zoey is a saint) if and only if (Ethan is a saint if and only if Joseph is a sinner)\" -... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1705, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"and\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]], [\"not\", [\"telling-t... | {"split": "train", "index": 8373} |
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, Logan, Elizabeth, Noah, and Chloe. William stated, \"if (William is a saint if and only if Elizabeth is a sinner) then Noah is a sinner\". L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1706, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"lying\", 3]], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"lying\", 4], [\"lying\", 0]]], [\"or\", [\"<=>\", [\"... | {"split": "train", "index": 8374} |
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, Ella, James, Benjamin, and Joseph. Lucas commented, \"(Lucas is a pioneer if and only if Ella is a pioneer) if and only if (Benjamin is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1707, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\", [\"tel... | {"split": "train", "index": 8375} |
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: Samuel, Liam, Ella, Ethan, and Mason. Samuel commented, \"it is not the case that (Ella is a knight and Ella is a knave)\". In a statement by Liam: \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1708, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"lying\", 4]]], [\"or\", [\"telling-truth\", 2], [... | {"split": "train", "index": 8376} |
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, Michael, Penelope, Ella, and Aiden. David was heard saying, \"(Michael is an egoist) or Michael is an egoist\". Michael asserted: \"(Pen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1709, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"lying\", 1]], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"l... | {"split": "train", "index": 8377} |
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, Grace, Jacob, Joseph, and Penelope. Aiden noted, \"Jacob is an altruist\". As Grace put it, \"if Penelope is an altruist then (Jacob is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1710, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"telling-truth\", 4], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"or\", [\"lying\", 1], ... | {"split": "train", "index": 8378} |
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: Riley, Amelia, Isabella, Lily, and Noah. \"(Isabella is a hero if and only if Noah is a villain) or (Lily is a villain if and only if Amelia is a her... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1711, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"telling-truth\", 0], [\"<=>\", [\"->\", [\"lying\", 0], [\"telling-truth\", 0]], [\"not\... | {"split": "train", "index": 8379} |
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: Matthew, Jacob, Harper, Scarlett, and Luke. Matthew commented, \"(Luke is a sage or Luke is a fool) and Jacob is a sage\". According to Jacob, \"if (Matthe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1712, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]], [\"telling-truth\", 1]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"telling-truth\", 4]... | {"split": "train", "index": 8380} |
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: Jack, Isabella, Zoey, Emily, and James. Jack asserted: \"(Emily is a knight and Emily is a knave) and (James is a knave)\". Isabella commented, \"if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1713, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2]], [\"and\", [\"lying\", 0], [\"telling-truth\", ... | {"split": "train", "index": 8381} |
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: Ethan, Mia, Oliver, Riley, and Aiden. Ethan expressed that Riley is an angel. Mia commented, \"Aiden is a devil\". \"(Riley is a devil) or (Aiden is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1714, \"statements\": [[\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"lying\", 4], [\"telling... | {"split": "train", "index": 8382} |
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: Harper, Samuel, William, Abigail, and Riley. Harper expressed that William is a saint or (William is a sinner). In a statement by Samuel: \"Abigail i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1715, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 2]]], [\"telling-truth\", 3], [\"and\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 1], [\"lying\", 0]]], [\"->\", [\"<=>\", [\"telling-... | {"split": "train", "index": 8383} |
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, Ella, Scarlett, Avery, and Aiden. Elizabeth remarked, \"(if Ella is a hero then Scarlett is a hero) or (Elizabeth is a villain)\". \"it is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1716, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"and\", [\"and\", [\"telling-truth\"... | {"split": "train", "index": 8384} |
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, Elizabeth, Avery, Daniel, and Emma. Penelope commented, \"(Daniel is a laggard or Avery is a laggard) if and only if (Elizabeth is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1717, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 2]], [\"not\", [\"lying\", 1]]], [\"lying\", 3], [\"or\", [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"lying\", 2], [\"tel... | {"split": "train", "index": 8385} |
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: Scarlett, Michael, Charlotte, Riley, and Isabella. Scarlett stated, \"(Riley is a devil) or (Michael is an angel)\". Michael asserted: \"(Riley is a de... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1718, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 1]]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"tell... | {"split": "train", "index": 8386} |
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: William, Ava, Riley, Noah, and Jack. \"if (Riley is a knight if and only if Noah is a knight) then (Noah is a knave and William is a knight)\" - Will... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1719, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"or\", [\"no... | {"split": "train", "index": 8387} |
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, Daniel, Michael, Ella, and James. \"James is a knight\" - Olivia. In Daniel's words: \"if (Ella is a knight if and only if Olivia is a knave)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1720, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]], [\"not\", [\"lying\", 0]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"->\", [\"lying\", 0... | {"split": "train", "index": 8388} |
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: Jack, Ava, Grace, David, and Harper. Jack asserted: \"if (Ava is a villain if and only if Harper is a hero) then Grace is a villain\". Ava noted, \"J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1721, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"lying\", 2]], [\"telling-truth\", 0], [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"lying\", 3], [\"lying\", 0]]]... | {"split": "train", "index": 8389} |
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: Harper, Noah, Matthew, Aria, and Zoey. Harper was heard saying, \"it is not the case that (Zoey is a sinner or Aria is a saint)\". Noah was heard say... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1722, \"statements\": [[\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"telling-truth\", 4], [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"not\", [\"lying\", 4]]], [\"not\", [\"->\", [\"telling... | {"split": "train", "index": 8390} |
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: Evelyn, Chloe, Noah, Jack, and Alexander. Evelyn said that (if Alexander is an angel then Evelyn is an angel) if and only if (Alexander is an angel or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1723, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"lying\", 4], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]], ... | {"split": "train", "index": 8391} |
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: Harper, Mason, Jackson, Aurora, and Abigail. Harper expressed that Jackson is an altruist. Mason expressed that Aurora is an altruist. Jackson ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1724, \"statements\": [[\"not\", [\"lying\", 2]], [\"telling-truth\", 3], [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"or\", [\"telling-truth\", 2], ... | {"split": "train", "index": 8392} |
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: Penelope, Mia, Ethan, Isabella, and David. \"David is a devil\" - Penelope. Mia asserted: \"(Penelope is an angel) and (David is a devil or Penelope is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1725, \"statements\": [[\"lying\", 4], [\"and\", [\"not\", [\"lying\", 0]], [\"or\", [\"lying\", 4], [\"lying\", 0]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"not\", [\"and\", [\"lying\", 2], [\"telling... | {"split": "train", "index": 8393} |
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: Aiden, Riley, Aurora, Henry, and Michael. Aiden was heard saying, \"Michael is a devil or (Michael is a devil or Henry is an angel)\". \"if (Aiden is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1726, \"statements\": [[\"or\", [\"lying\", 4], [\"or\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"not\", [\"<=... | {"split": "train", "index": 8394} |
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, Oliver, Sophia, Abigail, and Ava. In a statement by Emily: \"(Ava is a fool and Ava is a sage) and (Ava is a fool and Sophia is a sage)\". Oliver wa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1727, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"lying\", 4], [\"->\", [\"not\", [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"l... | {"split": "train", "index": 8395} |
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: Olivia, Victoria, Avery, Amelia, and Matthew. According to Olivia, \"(Avery is a hero and Matthew is a villain) if and only if (Amelia is a villain o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1728, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"lying\", 3], [\"lying\", 1]]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"tell... | {"split": "train", "index": 8396} |
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: Elizabeth, Lucas, Amelia, Mason, and Jack. Elizabeth remarked, \"it is not the case that (Mason is a devil or Jack is a devil)\". Lucas noted, \"it is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1729, \"statements\": [[\"not\", [\"or\", [\"lying\", 3], [\"lying\", 4]]], [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"telling-truth\", 4], [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3... | {"split": "train", "index": 8397} |
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, Penelope, Abigail, Grace, and Michael. Sophia asserted: \"it is not the case that (Penelope is an angel and Michael is an angel)\". Penelope ex... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1730, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"and\", [\"lying\", 3... | {"split": "train", "index": 8398} |
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: Lucas, Henry, Charlotte, Alexander, and William. In a statement by Lucas: \"(Charlotte is an altruist) and (Charlotte is an altruist if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1731, \"statements\": [[\"and\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"lying\", 0]]], [\"<... | {"split": "train", "index": 8399} |
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