data_source stringclasses 1
value | prompt stringlengths 657 2.81k | ability stringclasses 1
value | reward_model stringlengths 1.3k 5.51k | extra_info stringlengths 30 34 |
|---|---|---|---|---|
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Grace, Lucas, Emma, Aiden, and Oliver. Grace stated, \"if (if (Oliver is a devil) then (if Lucas is an angel then Oliver is a devil)) then (Emma is a d... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2144, \"statements\": [[\"->\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"telling-truth\", 2], [\"and\", [\"->\", [\"telling-... | {"split": "train", "index": 17700} |
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, Sophia, Avery, Alexander, and Scarlett. In Lucas's words: \"if (Avery is an altruist if and only if (Avery is an altruist if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2145, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"telling-truth\", 1]], [\"and\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"telling-truth\", 1], [\"... | {"split": "train", "index": 17701} |
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, Sofia, Owen, Sebastian, and Liam. \"if (it is not the case that (Sebastian is an altruist and Sofia is an egoist)) then ((if Liam is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2146, \"statements\": [[\"->\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"lying\", 3]]]], [\"<=>\", [\"not\", [\"->\", [\"telling-tru... | {"split": "train", "index": 17702} |
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: Mason, Joseph, Aiden, Avery, and Logan. Mason expressed that ((if Joseph is an altruist then Logan is an egoist) and Aiden is an egoist) or (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2147, \"statements\": [[\"or\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"lying\", 2]], [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 0], ... | {"split": "train", "index": 17703} |
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: Isabella, Henry, Victoria, Aurora, and Charlotte. \"it is not the case that ((Aurora is a knave or Aurora is a knight) and (Charlotte is a knight and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2148, \"statements\": [[\"not\", [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 0]], [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"not\", [\... | {"split": "train", "index": 17704} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Emily, Luke, Grace, Jacob, and Liam. According to Emily, \"it is not the case that (it is not the case that (Luke is a hero if and only if Emily is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2149, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]]]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"or\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"lying... | {"split": "train", "index": 17705} |
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: Evelyn, Mason, Jacob, David, and Emily. Evelyn said that Jacob is a pioneer. \"(if (if Jacob is a laggard then Evelyn is a laggard) then (if Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2150, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"->\", [\"->\", [\"lying\", 2], [\"lying\", 0]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"or\", ... | {"split": "train", "index": 17706} |
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, James, Sophia, and Lily. Samuel noted, \"if ((Sophia is a pioneer if and only if Oliver is a laggard) if and only if (if James ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2151, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"or\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", ... | {"split": "train", "index": 17707} |
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: Luke, James, Zoey, Lucas, and Michael. Luke asserted: \"if ((if Luke is a saint then Lucas is a saint) if and only if Michael is a saint) then (Lucas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2152, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-t... | {"split": "train", "index": 17708} |
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: Isabella, Ella, Joseph, Samuel, and Sofia. Isabella expressed that if (it is not the case that (Ella is a knave if and only if Ella is a knight)) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2153, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"telling-truth\", 3]], [\"or\", [\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\",... | {"split": "train", "index": 17709} |
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: Victoria, Ella, Avery, Aurora, and Jacob. Victoria noted, \"Jacob is a fool\". Ella stated, \"Aurora is a fool\". Avery noted, \"Ella is a fool if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2154, \"statements\": [[\"lying\", 4], [\"lying\", 3], [\"<=>\", [\"lying\", 1], [\"and\", [\"<=>\", [\"lying\", 0], [\"lying\", 1]], [\"and\", [\"lying\", 1], [\"telling-truth\", 4]], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"l... | {"split": "train", "index": 17710} |
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: Amelia, Abigail, Harper, Jack, and Jacob. As Amelia put it, \"((Harper is a pioneer if and only if Abigail is a laggard) if and only if (if Abi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2155, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"->\", [\"lying\", 1], [\"lying\", 4]]], [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 2]], [\"or\", [\"l... | {"split": "train", "index": 17711} |
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: Zoey, Evelyn, Liam, Logan, and Sophia. Zoey remarked, \"it is not the case that ((Logan is a saint) if and only if Logan is a sinner)\". Evelyn comme... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2156, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"lying\", 3]]], [\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"and\", [\"lying\", 0], [\"<=>\", [\"lying\", 2], [\"telling-tru... | {"split": "train", "index": 17712} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Elizabeth, Daniel, Sofia, Charlotte, and Luke. Elizabeth told you that if (it is not the case that (Luke is an altruist)) then (Charlotte is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2157, \"statements\": [[\"->\", [\"not\", [\"not\", [\"lying\", 4]]], [\"and\", [\"lying\", 3], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]]], [\"not\", [\"not\", ... | {"split": "train", "index": 17713} |
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: Aiden, William, Sofia, Oliver, and Ethan. In Aiden's words: \"((Oliver is a laggard) or (Sofia is a laggard or Oliver is a laggard or William i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2158, \"statements\": [[\"or\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 1]]], [\"and\", [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 2], [\"telling-trut... | {"split": "train", "index": 17714} |
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, Samuel, Olivia, Logan, and Ethan. Harper asserted: \"(it is not the case that (Logan is a sage)) and Harper is a sage and ((Ethan is a fool and Log... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2159, \"statements\": [[\"and\", [\"not\", [\"not\", [\"lying\", 3]]], [\"telling-truth\", 0], [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"lying\", 4], [\"lying\", 2]]]], [\"not\", [\"not\", [\"an... | {"split": "train", "index": 17715} |
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, Ella, Joseph, Evelyn, and Samuel. Oliver was heard saying, \"Ella is an egoist if and only if ((Ella is an egoist) if and only if (if E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2160, \"statements\": [[\"<=>\", [\"lying\", 1], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]]], [\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\",... | {"split": "train", "index": 17716} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Aria, Mason, Matthew, Mia, and Elizabeth. \"Mason is a saint,\" Aria mentioned. Mason expressed that Mason is a saint if and only if (if (Mason is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2161, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 1], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 2], [\"lying\", 3]]]], [\"->\", [\"<=>\", [\"->\", [\"telling-truth\", ... | {"split": "train", "index": 17717} |
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: Aria, Charlotte, Noah, Oliver, and Lucas. \"(if (Charlotte is an angel if and only if Lucas is a devil) then (Lucas is an angel if and only if Oliver i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2162, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"<=>\", [\"lying\", 3], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"no... | {"split": "train", "index": 17718} |
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, Chloe, Logan, Victoria, and Samuel. Zoey remarked, \"Chloe is a fool or (if (Logan is a sage) then Logan is a fool) or (Logan is a fool)\". Chloe ass... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2163, \"statements\": [[\"or\", [\"lying\", 1], [\"->\", [\"not\", [\"lying\", 2]], [\"lying\", 2]], [\"not\", [\"telling-truth\", 2]]], [\"telling-truth\", 4], [\"and\", [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3... | {"split": "train", "index": 17719} |
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, James, Aiden, Lucas, and Scarlett. Logan commented, \"it is not the case that ((Logan is a knight if and only if Scarlett is a knave) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2164, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"and\", [\"and\", [\"telling-truth\", 3]... | {"split": "train", "index": 17720} |
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: Luke, Owen, Grace, Mason, and Aiden. Luke noted, \"Aiden is a knight\". \"((Grace is a knave and Aiden is a knight) or (Luke is a knave or Aiden is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2165, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4]], [\"or\", [\"lying\", 0], [\"lying\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4],... | {"split": "train", "index": 17721} |
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: Zoey, Ethan, Benjamin, Logan, and Ella. Zoey expressed that it is not the case that (it is not the case that (Ethan is a sinner)). \"if (it is not th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2166, \"statements\": [[\"not\", [\"not\", [\"not\", [\"telling-truth\", 1]]]], [\"->\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"telling-truth\", 4]], [\"->\", [\"<=>\", [\"<=>\", [\"lying\", 4]... | {"split": "train", "index": 17722} |
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: Joseph, Charlotte, Luke, Aurora, and Lucas. Joseph commented, \"Charlotte is a pioneer\". Charlotte remarked, \"Lucas is a pioneer\". In Luke's... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2167, \"statements\": [[\"telling-truth\", 1], [\"telling-truth\", 4], [\"and\", [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"lying\", 1], [\"lying\", 0]], [\"telling-truth\", ... | {"split": "train", "index": 17723} |
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: Aurora, Zoey, Jackson, Mia, and Liam. Aurora said that Mia is an altruist. \"Aurora is an altruist and (if (Jackson is an egoist) then Liam is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2168, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"telling-truth\", 0], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 4]], [\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]]]], [\"<=>\", [\"not\", [\"and\",... | {"split": "train", "index": 17724} |
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: Owen, Chloe, Olivia, Emma, and Matthew. Owen noted, \"(if (if Chloe is a knight then Owen is a knight) then (Matthew is a knave)) if and only if (Oli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2169, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"->\", [\"and\", [\"telling-truth\", 4], [\... | {"split": "train", "index": 17725} |
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, Chloe, Logan, Benjamin, and Isabella. \"if Isabella is a sinner then ((Logan is a sinner and Charlotte is a saint and Benjamin is a saint)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2170, \"statements\": [[\"->\", [\"lying\", 4], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 4]]], [\"->\", [\"and\"... | {"split": "train", "index": 17726} |
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, Victoria, Noah, Sebastian, and Olivia. In Jack's words: \"((Noah is a sinner) or (Noah is a saint or Olivia is a sinner) or Noah is a saint) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2171, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4]], [\"telling-truth\", 2]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"telling-tru... | {"split": "train", "index": 17727} |
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: Lily, Luke, Alexander, Avery, and Victoria. Lily said, \"((Lily is a saint and Avery is a saint and Victoria is a sinner) and (if Victoria is a saint... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2172, \"statements\": [[\"or\", [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"lyin... | {"split": "train", "index": 17728} |
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, William, Ava, Aria, and Jacob. Michael commented, \"((William is a saint and Aria is a sinner and Ava is a saint) and (Jacob is a saint)) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2173, \"statements\": [[\"or\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]]], [\"lying\", 2], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"lying\",... | {"split": "train", "index": 17729} |
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: Ethan, Victoria, Henry, Mia, and Aurora. \"if (if (Aurora is an egoist and Mia is an egoist and Mia is an altruist) then (if Henry is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2174, \"statements\": [[\"->\", [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-tr... | {"split": "train", "index": 17730} |
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, Jackson, Aria, Jacob, and Charlotte. Owen commented, \"Aria is a fool if and only if (it is not the case that (Aria is a fool))\". Jackson noted, \"i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2175, \"statements\": [[\"<=>\", [\"lying\", 2], [\"not\", [\"not\", [\"telling-truth\", 2]]]], [\"->\", [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"... | {"split": "train", "index": 17731} |
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: Owen, James, Sebastian, Henry, and Aria. Owen said, \"(it is not the case that (Sebastian is a knave or Aria is a knave or James is a knight)) or (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2176, \"statements\": [[\"or\", [\"not\", [\"or\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]]]... | {"split": "train", "index": 17732} |
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, Owen, Chloe, James, and Liam. William stated, \"James is an angel if and only if ((James is an angel or Owen is a devil) and James is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2177, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]], [\"telling-truth\", 3]]], [\"->\", [\"->\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"lying\", 4], [\"te... | {"split": "train", "index": 17733} |
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: Benjamin, Noah, Charlotte, Olivia, and Henry. \"Olivia is a knave or ((Henry is a knave or Henry is a knight or Charlotte is a knave) if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2178, \"statements\": [[\"or\", [\"lying\", 3], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"lying\", 2]], [\"lying\", 3]]], [\"or\", [\"lying\", 4], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 0], [... | {"split": "train", "index": 17734} |
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: Henry, Ethan, Matthew, Logan, and Noah. Henry expressed that (Noah is a pioneer or (Noah is a laggard)) or (if (Matthew is a pioneer) then (Mat... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2179, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]]], [\"telling-truth\", 0], [\"not\", [\... | {"split": "train", "index": 17735} |
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: Amelia, Evelyn, Riley, James, and Owen. Amelia commented, \"it is not the case that (Evelyn is a villain)\". Evelyn asserted: \"((if Evelyn is a hero... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2180, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"lying\", 2]]]... | {"split": "train", "index": 17736} |
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: Chloe, Elizabeth, Logan, Jacob, and Harper. Chloe remarked, \"if ((if Jacob is a pioneer then Harper is a pioneer) if and only if (if Harper is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2181, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"lying... | {"split": "train", "index": 17737} |
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: Jack, Noah, Samuel, William, and Ethan. In Jack's words: \"(Ethan is an angel if and only if (William is an angel and Samuel is an angel and Jack is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2182, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1]], [\"and\", [\"l... | {"split": "train", "index": 17738} |
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, Scarlett, Benjamin, Evelyn, and Jack. Oliver said that ((Evelyn is a fool if and only if Scarlett is a sage) if and only if (Benjamin is a sage or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2183, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"lying\", 1], [\"and\", [\"lying\", 1], [\"lying\", 3], [\"lyi... | {"split": "train", "index": 17739} |
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: Jack, Scarlett, Ethan, Michael, and Sophia. Jack expressed that if ((Ethan is a pioneer or Scarlett is a laggard or Jack is a pioneer) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2184, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 0]], [\"lying\", 2]], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"->\", [\"lying\", 1], ... | {"split": "train", "index": 17740} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Amelia, Evelyn, Sebastian, William, and Logan. Amelia commented, \"(if (if William is a knight then Logan is a knave) then (Sebastian is a knight and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2185, \"statements\": [[\"and\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 1]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1],... | {"split": "train", "index": 17741} |
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: Sofia, Jacob, Aiden, Sebastian, and Owen. \"Jacob is an angel,\" Sofia declared. As Jacob put it, \"(Owen is a devil if and only if (Sebastian is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2186, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"<=>\", [\"lying\", 4], [\"and\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]], [\"and\", [\"lying\", 2], [\"lyin... | {"split": "train", "index": 17742} |
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, Jacob, Sophia, Harper, and Oliver. Samuel asserted: \"(if Harper is a sage then (Sophia is a sage if and only if Oliver is a fool)) or (it is not t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2187, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\",... | {"split": "train", "index": 17743} |
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, Riley, Michael, and Jacob. Ava commented, \"if ((if Jacob is a pioneer then Jacob is a laggard) and (Jacob is a pioneer if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2188, \"statements\": [[\"->\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"lying\", ... | {"split": "train", "index": 17744} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Aurora, Charlotte, Mason, Aiden, and Michael. As Aurora put it, \"((Mason is an angel) and (if Mason is a devil then Michael is a devil) and (Mason is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2189, \"statements\": [[\"or\", [\"and\", [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"and\", ... | {"split": "train", "index": 17745} |
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, Charlotte, Sofia, Joseph, and Emma. Olivia remarked, \"it is not the case that ((if Charlotte is a knight then Charlotte is a knave) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2190, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"not\", [\"lying\", 2]]]], [\"and\", [\"and\", [\"<=>\", [\"lying\", 0], [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"lying... | {"split": "train", "index": 17746} |
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, Sebastian, James, David, and Joseph. In Mason's words: \"David is a laggard\". Sebastian told you that (Joseph is a laggard if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2191, \"statements\": [[\"lying\", 3], [\"or\", [\"<=>\", [\"lying\", 4], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"or\", [\"telling-truth\", 1], [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"and\", [\"lyin... | {"split": "train", "index": 17747} |
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: Lucas, Jack, Ava, Scarlett, and Noah. Lucas said that (Noah is a knave) or ((Scarlett is a knave and Jack is a knave and Lucas is a knight) and (Ava ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2192, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 0]], [\"not\", [\"lying\", 2]]]], [\"lying\", 0], [\"->\", [\"and\", [\"<=>\", [\"telli... | {"split": "train", "index": 17748} |
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, Evelyn, Elizabeth, Abigail, and Emma. Mia said that (if (if Evelyn is a villain then Abigail is a hero) then (Emma is a villain if and only if E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2193, \"statements\": [[\"and\", [\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"lying\", 2]... | {"split": "train", "index": 17749} |
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, Mason, Harper, Victoria, and Lucas. In Daniel's words: \"if ((Victoria is a fool) if and only if (if Lucas is a fool then Lucas is a sage)) then Ha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2194, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"and\", [\"or\", [\"telling-truth\", 0], [\"t... | {"split": "train", "index": 17750} |
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: Sofia, Sophia, Lily, Sebastian, and Michael. \"(if Sofia is a knight then Lily is a knave) or ((if Sophia is a knave then Lily is a knight) or (if Mi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2195, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"lying\", 2],... | {"split": "train", "index": 17751} |
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, Harper, Amelia, Noah, and Matthew. In a statement by Jackson: \"Noah is a villain\". Harper commented, \"it is not the case that ((Jackson i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2196, \"statements\": [[\"lying\", 3], [\"not\", [\"and\", [\"not\", [\"lying\", 0]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]]], [\"or\", [\"and\", [\"<=>\", [\"telli... | {"split": "train", "index": 17752} |
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: Zoey, Lucas, Luke, Harper, and Grace. Zoey remarked, \"(if (Harper is an altruist or Grace is an altruist or Luke is an egoist) then (Harper is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2197, \"statements\": [[\"or\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 1]]], [\"telling-truth\", 3]], [\"or\", [\"and\", ... | {"split": "train", "index": 17753} |
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: Daniel, Sophia, Jacob, David, and Charlotte. Daniel remarked, \"Jacob is a pioneer if and only if (if (Charlotte is a laggard or Sophia is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2198, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"->\", [\"or\", [\"lying\", 4], [\"lying\", 1]], [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 4]]]], [\"<=>\", [\"or\", [\"lying\", 2], [\"->\... | {"split": "train", "index": 17754} |
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, Victoria, Aurora, Luke, and Isabella. Harper told you that ((Aurora is a saint and Luke is a saint and Luke is a sinner) or (Aurora is a sinn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2199, \"statements\": [[\"and\", [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]]... | {"split": "train", "index": 17755} |
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: Aurora, Alexander, Logan, Henry, and Jack. Aurora asserted: \"it is not the case that (Alexander is a laggard and (Logan is a laggard))\". Alex... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2200, \"statements\": [[\"not\", [\"and\", [\"lying\", 1], [\"not\", [\"telling-truth\", 2]]]], [\"not\", [\"and\", [\"not\", [\"lying\", 0]], [\"lying\", 2]]], [\"and\", [\"not\", [\"not\", [\"lying\", 3]]], [\"telling-truth\... | {"split": "train", "index": 17756} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Oliver, Daniel, Zoey, Mia, and Jacob. Oliver said that (Daniel is a devil) if and only if ((Jacob is an angel if and only if Oliver is an angel) or (Ol... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2201, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 1]], [\"->\", [\"lyin... | {"split": "train", "index": 17757} |
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, Chloe, Elizabeth, Zoey, and Isabella. Matthew was heard saying, \"Zoey is a villain\". Chloe expressed that (Matthew is a villain or (Zoey i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2202, \"statements\": [[\"lying\", 3], [\"or\", [\"or\", [\"lying\", 0], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"telling-tru... | {"split": "train", "index": 17758} |
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: Alexander, Logan, Owen, Charlotte, and Sofia. \"((Logan is a sinner if and only if Charlotte is a sinner) if and only if (Sofia is a saint if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2203, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"not\", [\"not\", [\"lying\", 2]]], [\"->\", [\"lying\", 1], [\"and\", [\"telling-trut... | {"split": "train", "index": 17759} |
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: Sebastian, Amelia, Isabella, Daniel, and Victoria. \"(if (Amelia is a knave or Isabella is a knave) then (if Victoria is a knight then Amelia is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2204, \"statements\": [[\"and\", [\"->\", [\"or\", [\"lying\", 1], [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"not\", [\"and\", [... | {"split": "train", "index": 17760} |
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, Sophia, James, Samuel, and Sebastian. \"it is not the case that (it is not the case that (James is a knave and Sebastian is a knight and Samue... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2205, \"statements\": [[\"not\", [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 3]]]], [\"->\", [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"lying\", 2], [\"te... | {"split": "train", "index": 17761} |
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: Chloe, Noah, Emma, Emily, and Ethan. As Chloe put it, \"if (if (if Ethan is a hero then Noah is a hero) then (Noah is a villain if and only if Chloe ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2206, \"statements\": [[\"->\", [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"and\", [\"t... | {"split": "train", "index": 17762} |
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: Zoey, Ethan, Avery, Mason, and Aiden. According to Zoey, \"Mason is a knight\". \"(it is not the case that (Ethan is a knave)) and ((if Zoey is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2207, \"statements\": [[\"not\", [\"lying\", 3]], [\"and\", [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"lying\", 2], [\"not\", [\"lying\", 3]]], [\"and\", [\"tel... | {"split": "train", "index": 17763} |
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: Olivia, Joseph, Ella, William, and Noah. In Olivia's words: \"Noah is a laggard and ((Olivia is a laggard) or (Ella is a pioneer) or (Olivia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2208, \"statements\": [[\"and\", [\"lying\", 4], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 0], [\"... | {"split": "train", "index": 17764} |
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, Elizabeth, Alexander, and Riley. Henry told you that Elizabeth is a fool. Sophia remarked, \"it is not the case that (it is not the case tha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2209, \"statements\": [[\"lying\", 2], [\"not\", [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]]]], [\"lying\", 1], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"not\", [\"lying\", 0]]]], [\"not\", [\"lying... | {"split": "train", "index": 17765} |
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: Ella, Sofia, Luke, Jack, and Abigail. \"it is not the case that ((Sofia is a sage and Abigail is a fool) or (Luke is a fool)),\" Ella mentioned. \"Jack is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2210, \"statements\": [[\"not\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"telling-truth\", 2]]]], [\"telling-truth\", 3], [\"not\", [\"not\", [\"or\", [\"lying\", 0], [\"lying\", 3], [\"telling-... | {"split": "train", "index": 17766} |
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, Michael, Victoria, James, and Liam. Lucas told you that if ((Victoria is a laggard) if and only if (Liam is a laggard if and only if Jam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2211, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\",... | {"split": "train", "index": 17767} |
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, Isabella, Grace, and Olivia. In a statement by Owen: \"((Joseph is a devil or Olivia is an angel or Olivia is a devil) or (Grace is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2212, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 4], [\"lying\", 4]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"and\", [\"and\", [\"lying\", 3],... | {"split": "train", "index": 17768} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: William, Benjamin, James, Ethan, and Harper. \"it is not the case that (if (Benjamin is a fool or Harper is a fool) then James is a fool),\" William declar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2213, \"statements\": [[\"not\", [\"->\", [\"or\", [\"lying\", 1], [\"lying\", 4]], [\"lying\", 2]]], [\"not\", [\"and\", [\"not\", [\"lying\", 2]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", ... | {"split": "train", "index": 17769} |
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, Jacob, Joseph, Elizabeth, and Aiden. Ethan said, \"((Jacob is an angel and Aiden is an angel and Joseph is a devil) if and only if (Aiden is a d... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2214, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-trut... | {"split": "train", "index": 17770} |
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: Benjamin, Ella, Jack, Aiden, and Isabella. Benjamin stated, \"Isabella is a knave if and only if ((Ella is a knight if and only if Aiden is a knave) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2215, \"statements\": [[\"<=>\", [\"lying\", 4], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]]]], [\"not\", [\"not\", [\"lying\", 0]]], [\"or\", [\"and\"... | {"split": "train", "index": 17771} |
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, Aiden, Victoria, Daniel, and James. \"Victoria is a laggard,\" Grace claimed. Aiden told you that if (Victoria is a pioneer) then (it is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2216, \"statements\": [[\"lying\", 2], [\"->\", [\"not\", [\"lying\", 2]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]]], [\"and\", [\"not\", [\"and\", [\"lying\", 0], [\"lying\", 4]]], [\"->\", [\"->\", [\"lyi... | {"split": "train", "index": 17772} |
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: Ella, Elizabeth, Aiden, Amelia, and Daniel. According to Ella, \"(it is not the case that (Ella is a sage or Aiden is a fool or Daniel is a fool)) and ((El... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2217, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [\"lyi... | {"split": "train", "index": 17773} |
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: Jacob, Benjamin, Olivia, Daniel, and Scarlett. Jacob was heard saying, \"it is not the case that (Daniel is a villain and (Benjamin is a hero or Jaco... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2218, \"statements\": [[\"not\", [\"and\", [\"lying\", 3], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]]], [\"->\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 3]]], [\"<=>\", [\"... | {"split": "train", "index": 17774} |
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, Aiden, Lily, Liam, and Grace. According to Olivia, \"it is not the case that ((Olivia is a hero and Liam is a villain) if and only if (Grace ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2219, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"lying\", 4]]]], [\"or\", [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"not\", [\"lying\", 4]], [\"<=>... | {"split": "train", "index": 17775} |
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, Sofia, Elizabeth, Grace, and Riley. Mia expressed that Riley is a villain. According to Sofia, \"(it is not the case that (Riley is a hero)) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2220, \"statements\": [[\"lying\", 4], [\"and\", [\"not\", [\"not\", [\"lying\", 4]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-... | {"split": "train", "index": 17776} |
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, Matthew, Olivia, Owen, and Isabella. Lucas asserted: \"if (it is not the case that (Olivia is a devil or Owen is an angel)) then ((Isabella is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2221, \"statements\": [[\"->\", [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]]], [\"<=>\", [\"or\", [\"and\", [\"lying\", 4],... | {"split": "train", "index": 17777} |
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: Henry, Joseph, Sofia, Mason, and Liam. \"(if (Henry is a pioneer if and only if Liam is a pioneer) then (Sofia is a pioneer if and only if Liam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 0, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\"... | {"split": "train", "index": 17778} |
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, Aria, Liam, Samuel, and Jacob. Mia stated, \"Liam is a knave\". \"Mia is a knave and ((Aria is a knight and Samuel is a knight) and Jacob is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1, \"statements\": [[\"lying\", 2], [\"and\", [\"lying\", 0], [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"lying\", 4]], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"or\", [\"lying\... | {"split": "train", "index": 17779} |
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, Harper, Elizabeth, Emily, and Jackson. David commented, \"it is not the case that (Harper is a devil if and only if (David is an angel or Emily ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 1], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 1]]]], [\"<=>\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"tel... | {"split": "train", "index": 17780} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Samuel, Aurora, Michael, Avery, and Evelyn. \"it is not the case that ((Avery is a hero and Aurora is a villain and Evelyn is a villain and Michael i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 3, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1], [\"lying\", 4], [\"lying\", 2]], [\"lying\", 2]]], [\"or\", [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 4]], [... | {"split": "train", "index": 17781} |
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: Matthew, Amelia, Aria, Charlotte, and Zoey. Matthew noted, \"Aria is a pioneer if and only if (Zoey is a laggard or (if Zoey is a laggard then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 4, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"or\", [\"lying\", 4], [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]]], [\"not\", [\"->\", [\"->\", [\"lying\", 3], ... | {"split": "train", "index": 17782} |
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, Elizabeth, Olivia, Matthew, and Ella. Scarlett said, \"Olivia is a devil or (if (Matthew is a devil and Ella is a devil) then (Matthew is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 5, \"statements\": [[\"or\", [\"lying\", 2], [\"->\", [\"and\", [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-... | {"split": "train", "index": 17783} |
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, Sebastian, Matthew, Isabella, and Liam. Benjamin expressed that Isabella is a laggard. In a statement by Sebastian: \"Matthew is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 6, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"lying\", 2], [\"->\", [\"lying\", 3], [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"telling-truth\", 1], [\"or\", [\"lying\", 0], [\"telling-truth\", 0]... | {"split": "train", "index": 17784} |
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, Sofia, Jacob, Riley, and Zoey. As Aria put it, \"((Sofia is a knight or Zoey is a knight or Aria is a knight or Sofia is a knave) and (Zoey is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 7, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\", 1]], [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", ... | {"split": "train", "index": 17785} |
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: Avery, William, Oliver, Grace, and Logan. Avery stated, \"if (if (if Logan is a pioneer then Grace is a pioneer) then (Grace is a laggard if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 8, \"statements\": [[\"->\", [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"->\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 4]]]], [\"->\", [\"and\... | {"split": "train", "index": 17786} |
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: Alexander, Lucas, Ethan, Owen, and Victoria. Alexander asserted: \"((Owen is a saint) if and only if (Victoria is a saint)) or ((Owen is a sinner if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 9, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"telling-truth\", 2]], [\"and\", [\"and\", [\"telling-truth\", 0], [\... | {"split": "train", "index": 17787} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Emily, Alexander, Jacob, Zoey, and Victoria. In a statement by Emily: \"if Jacob is an altruist then Victoria is an egoist\". Alexander told yo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 10, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"<=>\", [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"lying\", 3]], [\"and\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 3], [... | {"split": "train", "index": 17788} |
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, Henry, Mason, Daniel, and Lily. \"((if Lily is a pioneer then Isabella is a pioneer) or (Henry is a pioneer)) if and only if ((Mason ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 11, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"not\", [\"lying\", 1]]], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"lying\", 1]... | {"split": "train", "index": 17789} |
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, James, Alexander, Charlotte, and Oliver. Lily said, \"(Alexander is an egoist and (if Oliver is an egoist then James is an egoist)) or ((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 12, \"statements\": [[\"or\", [\"and\", [\"lying\", 2], [\"->\", [\"lying\", 4], [\"lying\", 1]]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"telling-truth\... | {"split": "train", "index": 17790} |
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, Oliver, Sophia, Logan, and Chloe. In a statement by Riley: \"((if Oliver is a hero then Logan is a hero) and (Sophia is a villain) and (Chloe ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 13, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"lying... | {"split": "train", "index": 17791} |
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: Ella, Aiden, Michael, Sophia, and Elizabeth. Ella was heard saying, \"Michael is an angel if and only if Aiden is an angel\". Aiden was heard saying, \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 14, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"and\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 3]]], [\"telling-truth\", 4]], [\"not\"... | {"split": "train", "index": 17792} |
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, Sebastian, Matthew, Noah, and Joseph. In Logan's words: \"Logan is a sage or (if (Joseph is a sage or Sebastian is a fool or Joseph is a fool or Noa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 15, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"lying\", 4], [\"lying\", 3]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 4]]], [\"<=>... | {"split": "train", "index": 17793} |
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, Isabella, Sofia, Charlotte, and Abigail. As Benjamin put it, \"it is not the case that (it is not the case that (Abigail is a fool or Isabella is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 16, \"statements\": [[\"not\", [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 0]]]], [\"or\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 0]]], [\"or\", [\"telling-tru... | {"split": "train", "index": 17794} |
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, William, Jacob, Olivia, and Penelope. Lucas asserted: \"it is not the case that ((Jacob is an egoist) if and only if (Penelope is an alt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 17, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\", 1]]]], [\"and\", [\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"telling-... | {"split": "train", "index": 17795} |
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: Noah, William, Sofia, Aria, and Sophia. In Noah's words: \"it is not the case that ((Sofia is a knave if and only if Aria is a knave) and (Aria is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 18, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"lying\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"<=>\", [... | {"split": "train", "index": 17796} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Riley, Owen, David, Penelope, and Mason. Riley stated, \"((Riley is an angel or Owen is an angel) and Penelope is an angel and (David is a devil if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 19, \"statements\": [[\"or\", [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"telling-truth\", 3], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"lying\", 2]]], [... | {"split": "train", "index": 17797} |
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: Victoria, Lucas, Evelyn, Abigail, and Emma. According to Victoria, \"Lucas is a villain\". Lucas noted, \"Emma is a hero\". Evelyn told you that if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 20, \"statements\": [[\"lying\", 1], [\"not\", [\"lying\", 4]], [\"->\", [\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 1]], [\"lying\", 0], [\"and\", [\"telling-truth\", 4], [\"l... | {"split": "train", "index": 17798} |
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: Joseph, Mia, Charlotte, Scarlett, and Sebastian. Joseph stated, \"Sebastian is a pioneer\". Mia told you that ((Scarlett is a pioneer or Joseph... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 21, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"lyi... | {"split": "train", "index": 17799} |
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