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 pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Scarlett, Luke, Michael, Abigail, and Sophia. \"(Luke is a laggard or Luke is a pioneer or Michael is a pioneer or Sophia is a pioneer) and Luk... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 688, \"statements\": [[\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"telling-truth\", 2], [\"and\", [\"lying\",... | {"split": "train", "index": 11800} |
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, Amelia, Grace, Emma, and Joseph. Harper said that Amelia is a sinner. Amelia said, \"if (if Emma is a sinner then Joseph is a sinner) then (J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 689, \"statements\": [[\"lying\", 1], [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\",... | {"split": "train", "index": 11801} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Lily, Jacob, Oliver, Victoria, and Logan. Lily asserted: \"(Victoria is a sage and Logan is a fool and Jacob is a sage) and Victoria is a fool and Lily is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 690, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 1]], [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-... | {"split": "train", "index": 11802} |
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: Jacob, Logan, Joseph, Matthew, and Aiden. Jacob told you that (Jacob is an altruist or Matthew is an altruist or Logan is an altruist) or (Aide... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 691, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"or\", [\"lying\", 2], [\"lying\", 0]], [... | {"split": "train", "index": 11803} |
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, Victoria, Sofia, Amelia, and David. Jack said that Sofia is a knave. Victoria said that (Jack is a knight if and only if David is a knave) or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 692, \"statements\": [[\"lying\", 2], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"t... | {"split": "train", "index": 11804} |
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, Matthew, Henry, Abigail, and William. \"(William is an egoist) or Matthew is an altruist,\" Aurora mentioned. Matthew told you that Abi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 693, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"lying\", 1], [\"... | {"split": "train", "index": 11805} |
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, Daniel, Mia, Aria, and Isabella. Ethan stated, \"(Isabella is an angel) if and only if Aria is a devil\". As Daniel put it, \"(Aria is a devil a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 694, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 4]], [\"lying\", 3]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 0], ... | {"split": "train", "index": 11806} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: James, Lucas, Joseph, Jacob, and Grace. James commented, \"it is not the case that (Grace is a hero if and only if Grace is a villain)\". \"if (Lucas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 695, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 1]]],... | {"split": "train", "index": 11807} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Henry, Daniel, Luke, Isabella, and Joseph. According to Henry, \"if (Henry is a hero or Isabella is a hero or Daniel is a hero) then (Luke is a villa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 696, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 2], [\"lying\", 1]]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", ... | {"split": "train", "index": 11808} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Logan, James, Zoey, Avery, and Owen. Logan expressed that it is not the case that (Owen is a villain). James commented, \"(if Logan is a hero then Av... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 697, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"ly... | {"split": "train", "index": 11809} |
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: Grace, Amelia, Oliver, Jack, and Aiden. Grace told you that Jack is a sage. Amelia remarked, \"it is not the case that (Grace is a fool and Jack is a sage ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 698, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"and\", [\"lying\", 0], [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 0]], [\"not\", [\"lying\", 0]]]... | {"split": "train", "index": 11810} |
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: Avery, Grace, Victoria, Samuel, and Riley. \"if (Avery is a sage and Riley is a sage and Victoria is a fool and Grace is a sage) then (Victoria is a fool),... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 699, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"lying\", 1]... | {"split": "train", "index": 11811} |
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: Liam, Jack, Aurora, Henry, and Lily. Liam said that Jack is a knave. As Jack put it, \"Henry is a knave\". Aurora remarked, \"(Lily is a knight or Li... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 700, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"lying\", 3], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 0]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\", 1]], [\"and\", [\"telling... | {"split": "train", "index": 11812} |
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, Sebastian, William, Noah, and Daniel. \"(William is a fool or William is a sage) if and only if (Daniel is a fool or Noah is a sage or Daniel is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 701, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 3]]], [\"->\", [\"or\", [\"lying\", 4], [\"lying\", 2], [\"... | {"split": "train", "index": 11813} |
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: Harper, Lucas, Abigail, Sophia, and Aurora. In Harper's words: \"(if Lucas is a villain then Lucas is a hero) if and only if Harper is a hero\". \"if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 702, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"telling-truth\", 0]], [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]], [\"not\", [\"lying\", 0]]], [\"lying\", 0], [\"and\", [\"no... | {"split": "train", "index": 11814} |
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: James, Penelope, Benjamin, Amelia, and Evelyn. \"(Evelyn is an altruist) and (if Penelope is an altruist then Evelyn is an altruist) and (Ameli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 703, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"lying\", 2]... | {"split": "train", "index": 11815} |
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: Sophia, Jacob, Ethan, Mia, and Elizabeth. Sophia was heard saying, \"(Elizabeth is a knight or Ethan is a knave or Mia is a knight) or (if Elizabeth ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 704, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 0], [\"... | {"split": "train", "index": 11816} |
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: Owen, Daniel, Ella, Aria, and Olivia. Owen noted, \"(Daniel is an altruist if and only if Olivia is an altruist) and (Owen is an altruist and E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 705, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 2], [\"lying\", 3], [\"lying\", 1]]], [\"->\",... | {"split": "train", "index": 11817} |
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: Logan, Penelope, James, Grace, and Ava. In a statement by Logan: \"(Grace is a sinner and Ava is a saint) or (James is a saint and Ava is a saint and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 706, \"statements\": [[\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"telling-truth\", 2]], [\"not\", ... | {"split": "train", "index": 11818} |
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, Mason, Lily, James, and Oliver. Ella commented, \"(if James is a sage then Lily is a fool) and James is a fool and (Lily is a fool or James is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 707, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"lying\", 3], [\"or\", [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 1]]], [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"not\... | {"split": "train", "index": 11819} |
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: Jacob, Henry, Emily, Oliver, and Sebastian. Jacob asserted: \"it is not the case that (Oliver is a sinner and Oliver is a saint and Sebastian is a si... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 708, \"statements\": [[\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 0]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 0]], [\"lying\", 3], [\"not\", [\"lying\", 2]],... | {"split": "train", "index": 11820} |
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: Sophia, Charlotte, Jack, Grace, and Owen. \"(Owen is a sage if and only if Charlotte is a fool) or (Sophia is a sage or Grace is a fool) or (Grace is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 709, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 1]]], [\"and\", [\"<=>\"... | {"split": "train", "index": 11821} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Logan, Isabella, William, Ella, and Avery. Logan expressed that it is not the case that (Ella is a laggard and Isabella is a pioneer). In Isabe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 710, \"statements\": [[\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling... | {"split": "train", "index": 11822} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Emily, Ethan, Evelyn, Abigail, and David. \"(Ethan is a laggard and Abigail is a pioneer and David is a laggard and Abigail is a laggard) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 711, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 3]], [\"and\", [\"lying\", 4], [\"lying\", 3], [\"lying\", 2]]], [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-trut... | {"split": "train", "index": 11823} |
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, David, Ethan, Aurora, and Charlotte. Victoria was heard saying, \"it is not the case that (if Charlotte is a fool then Aurora is a fool)\". \"if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 712, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"->\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"not\", [\"lying\", 3]]], [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"->\", [\"... | {"split": "train", "index": 11824} |
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, Charlotte, Emily, Logan, and Amelia. In a statement by Lily: \"(Emily is a sinner) and (Logan is a sinner if and only if Charlotte is a saint)\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 713, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"and\", [\"lying\", 4], [\"telling-tr... | {"split": "train", "index": 11825} |
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, Matthew, Victoria, Oliver, and Evelyn. Henry expressed that it is not the case that (if Victoria is a laggard then Matthew is a pioneer)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 714, \"statements\": [[\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"or\", [\"lying\", 0], [\"telling-truth\", 3], [\"or\", [\"lying\", 0], [\"lying\", 4]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]]], [... | {"split": "train", "index": 11826} |
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, Henry, Ella, Ava, and Zoey. Scarlett commented, \"Zoey is a laggard\". Henry asserted: \"if Scarlett is a laggard then (Zoey is a pio... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 715, \"statements\": [[\"lying\", 4], [\"->\", [\"lying\", 0], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"<=>\... | {"split": "train", "index": 11827} |
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: Penelope, Daniel, Riley, Benjamin, and Luke. Penelope was heard saying, \"Riley is a saint\". As Daniel put it, \"(Penelope is a sinner) and (if Luke... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 716, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\... | {"split": "train", "index": 11828} |
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: Avery, Evelyn, Luke, Sofia, and Aiden. Avery expressed that (Luke is an angel) if and only if (Aiden is a devil if and only if Sofia is a devil). \"(Lu... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 717, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"telling-truth\", 4], [\"telling-... | {"split": "train", "index": 11829} |
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: Abigail, Daniel, Harper, Jackson, and William. In a statement by Abigail: \"(if Harper is a laggard then William is a laggard) or Harper is a l... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 718, \"statements\": [[\"or\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"lying\", 2]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"telling-truth\", 1], ... | {"split": "train", "index": 11830} |
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, Sophia, Riley, Samuel, and James. \"it is not the case that (James is a villain)\" - Jackson. Sophia commented, \"(Samuel is a villain if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 719, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 0]], [\"... | {"split": "train", "index": 11831} |
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, Joseph, Samuel, Charlotte, and Liam. Victoria said, \"(Samuel is a hero or Samuel is a villain) and (Samuel is a villain and Victoria is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 720, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"or\", [\... | {"split": "train", "index": 11832} |
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: Chloe, Ethan, Mia, Riley, and Evelyn. Chloe said that if (Riley is an egoist or Mia is an egoist) then Ethan is an egoist. Ethan asserted: \"(R... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 721, \"statements\": [[\"->\", [\"or\", [\"lying\", 3], [\"lying\", 2]], [\"lying\", 1]], [\"and\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 0], [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"telling-truth\", 0]... | {"split": "train", "index": 11833} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Evelyn, Matthew, Mason, David, and Sofia. According to Evelyn, \"it is not the case that (if David is a saint then Matthew is a saint)\". Matthew sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 722, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"lying\", 0], [\"lying\", 0], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 0], [\"telling-truth\", 2]]], [... | {"split": "train", "index": 11834} |
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, Scarlett, Matthew, Lucas, and Ella. In Grace's words: \"it is not the case that (if Ella is a devil then Ella is an angel)\". Scarlett said that... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 723, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"or\", [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"->\", [\"lying\", 0], [\"<=>\", [\"telling-truth... | {"split": "train", "index": 11835} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Scarlett, Samuel, Riley, Aiden, and Emily. Scarlett was heard saying, \"(Riley is a sage if and only if Aiden is a sage) and (Aiden is a fool) and (Riley i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 724, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lyi... | {"split": "train", "index": 11836} |
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, Riley, Penelope, Logan, and Luke. Samuel stated, \"(Samuel is a hero and Riley is a hero and Luke is a villain and Penelope is a villain) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 725, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 2]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", ... | {"split": "train", "index": 11837} |
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: Isabella, Henry, Victoria, Jackson, and Evelyn. Isabella noted, \"(Henry is a sinner if and only if Victoria is a saint) if and only if (Jackson is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 726, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"lying\", 3], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]], [\"<=>\", [\"lying\", 4], [\"te... | {"split": "train", "index": 11838} |
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, Ava, Emma, Mia, and Elizabeth. In Lucas's words: \"(Ava is an altruist if and only if Emma is an egoist) and (Mia is an altruist and Eli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 727, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 1]]], [\"lying\", 0], [\"or\", [\"lying\", 0], [\"and\", [\"telling-truth... | {"split": "train", "index": 11839} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Ethan, Harper, Mia, Luke, and Jackson. Ethan commented, \"if (Luke is a saint if and only if Jackson is a saint) then Mia is a sinner\". Harper noted... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 728, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"lying\", 2]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 2]], [\"telling-truth\", 0], [\"or\", [... | {"split": "train", "index": 11840} |
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: Emma, Matthew, Noah, Alexander, and Owen. Emma said, \"(Emma is an altruist and Matthew is an altruist and Matthew is an egoist and Noah is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 729, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 1], [\"telling-truth\", 2]], [\"->\", [\"lying\", 2], [\"lying\", 1]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"te... | {"split": "train", "index": 11841} |
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: Lucas, Ella, Zoey, Henry, and Aria. Lucas expressed that Henry is a fool or (if Ella is a sage then Henry is a sage) or (Ella is a sage). In a statement by... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 730, \"statements\": [[\"or\", [\"lying\", 3], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"lying\", 1]]], [\"telling-truth\", 0], [\"lying\", 3], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\"... | {"split": "train", "index": 11842} |
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, Aria, Lucas, Sophia, and James. In a statement by Samuel: \"if (Sophia is a sinner) then (if Aria is a sinner then Lucas is a sinner)\". Aria... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 731, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 1], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 2], ... | {"split": "train", "index": 11843} |
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, Evelyn, Samuel, Avery, and Ava. As Owen put it, \"(Avery is a saint and Evelyn is a saint and Avery is a sinner and Evelyn is a sinner) or (Owe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 732, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 1]], [\"or\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"t... | {"split": "train", "index": 11844} |
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: Matthew, Henry, Amelia, Chloe, and Harper. Matthew was heard saying, \"Chloe is a saint\". Henry said, \"(Matthew is a saint and Harper is a saint an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 733, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 0]], [\"->\", [\"telling-t... | {"split": "train", "index": 11845} |
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: Daniel, Elizabeth, Luke, Ava, and Evelyn. Daniel told you that Ava is a saint. As Elizabeth put it, \"Luke is a saint\". Luke stated, \"if (Luke is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 734, \"statements\": [[\"not\", [\"lying\", 3]], [\"telling-truth\", 2], [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"<=>\", ... | {"split": "train", "index": 11846} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Ethan, Michael, Joseph, Evelyn, and Sophia. Ethan said that it is not the case that (Michael is a sinner or Michael is a saint or Evelyn is a sinner)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 735, \"statements\": [[\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1], [\"lying\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 0], [\"telling-truth\", 0], [\"lying\", 4]]], [\"telling-truth\", 3], [\... | {"split": "train", "index": 11847} |
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: Lily, Oliver, Benjamin, Sofia, and James. Lily stated, \"if (Oliver is an angel if and only if Sofia is a devil) then (Oliver is an angel and James is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 736, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\"... | {"split": "train", "index": 11848} |
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, Sebastian, Harper, Sofia, and Alexander. Emily commented, \"Alexander is a villain\". According to Sebastian, \"if Alexander is a villain then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 737, \"statements\": [[\"lying\", 4], [\"->\", [\"lying\", 4], [\"not\", [\"lying\", 2]]], [\"lying\", 0], [\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-tru... | {"split": "train", "index": 11849} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Sebastian, Samuel, Ava, Grace, and Aiden. Sebastian commented, \"(Ava is an altruist or Sebastian is an altruist) and (Ava is an altruist or Sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 738, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 1], [\"lying\", 3]], [\"not\", [\"lying\", 2]]], [\"and\", [\"<=>\"... | {"split": "train", "index": 11850} |
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, Charlotte, Zoey, Sebastian, and Elizabeth. Evelyn said, \"(Charlotte is an egoist and Evelyn is an altruist and Elizabeth is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 739, \"statements\": [[\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"->\", [\"telling... | {"split": "train", "index": 11851} |
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, Liam, Elizabeth, Luke, and Evelyn. As Lucas put it, \"Luke is an altruist\". Liam said, \"Lucas is an egoist.\" In a statement by Elizab... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 740, \"statements\": [[\"telling-truth\", 3], [\"lying\", 0], [\"not\", [\"not\", [\"lying\", 1]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"and\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\... | {"split": "train", "index": 11852} |
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: Charlotte, Lucas, Owen, Jacob, and Sebastian. Charlotte asserted: \"Jacob is a knight if and only if (Sebastian is a knight)\". \"Sebastian is a knav... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 741, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"not\", [\"lying\", 4]]], [\"or\", [\"lying\", 4], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"lying\", 0], [\"->\", [\"or\", [\"telling-truth\", 0], [\"telli... | {"split": "train", "index": 11853} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Victoria, Joseph, Amelia, Michael, and Owen. In a statement by Victoria: \"(Owen is a devil or Amelia is a devil or Joseph is an angel) and (if Joseph ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 742, \"statements\": [[\"and\", [\"or\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 1]], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"lying\", 2]], [\"->\", [\"telling-truth\"... | {"split": "train", "index": 11854} |
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: Ava, Emily, Amelia, Jackson, and Mia. Ava noted, \"(Mia is a devil or Emily is an angel or Jackson is a devil) if and only if (if Mia is an angel then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 743, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"and\", [\"lying\", 2], [\"->\", [\"telling-truth\", 3], [\"telling... | {"split": "train", "index": 11855} |
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: William, Abigail, Daniel, Zoey, and Logan. In William's words: \"Abigail is a hero\". In Abigail's words: \"(William is a hero if and only if Zoey is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 744, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\... | {"split": "train", "index": 11856} |
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, Abigail, Sebastian, Liam, and Scarlett. Matthew was heard saying, \"(Abigail is a hero and Liam is a villain and Matthew is a hero and Sebas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 745, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"telling-truth\", 0]], [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [\"->\", [\... | {"split": "train", "index": 11857} |
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, Lily, Aria, Jackson, and Emily. Oliver expressed that Oliver is an angel. Lily stated, \"Aria is a devil\". As Aria put it, \"if Oliver is a de... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 746, \"statements\": [[\"telling-truth\", 0], [\"lying\", 2], [\"->\", [\"lying\", 0], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"tellin... | {"split": "train", "index": 11858} |
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, Noah, Grace, Sophia, and Emily. Michael asserted: \"(Sophia is a saint) if and only if (Sophia is a sinner)\". Noah asserted: \"Michael is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 747, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"lying\", 0]], [\"lying\", 3], [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"or\", [\"lying\", 0], [\"... | {"split": "train", "index": 11859} |
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, Charlotte, Benjamin, and Harper. As Aiden put it, \"if (Charlotte is a villain) then (Jackson is a hero)\". Jackson said that if (Jac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 748, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 3]], [\"and\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 1]], [\... | {"split": "train", "index": 11860} |
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, Lucas, Zoey, Emily, and Aurora. In Chloe's words: \"Chloe is a sage\". Lucas said that (Zoey is a sage or Chloe is a fool or Emily is a fool or Chlo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 749, \"statements\": [[\"telling-truth\", 0], [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 0], [\"lying\", 3], [\"telling-truth\", 0]], [\"not\", [\"lying\", 2]], [\"telling-truth\", 0]], [\"and\", [\"->\", [\"tellin... | {"split": "train", "index": 11861} |
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, Liam, Avery, Benjamin, and Samuel. Jacob stated, \"if Samuel is a villain then (if Benjamin is a hero then Liam is a hero)\". Liam said, \"Sam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 750, \"statements\": [[\"->\", [\"lying\", 4], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"or\", [\"telling-truth\", 4], [\"and\", [\"lying\", 2], [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 1]]], [\"... | {"split": "train", "index": 11862} |
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: Sofia, Mia, Scarlett, Joseph, and Lily. Sofia remarked, \"(Scarlett is an altruist and Joseph is an egoist and Sofia is an altruist) and (Mia i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 751, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"telling-... | {"split": "train", "index": 11863} |
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: Henry, Mason, Jacob, Lily, and Emily. Henry noted, \"(if Jacob is a sinner then Henry is a saint) if and only if (if Lily is a sinner then Mason is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 752, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [... | {"split": "train", "index": 11864} |
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: Alexander, Ethan, Jackson, Emily, and Elizabeth. Alexander was heard saying, \"(Alexander is a fool) or (if Elizabeth is a sage then Emily is a fool) or (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 753, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"and\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2], [\"telli... | {"split": "train", "index": 11865} |
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, Abigail, Olivia, Victoria, and Henry. \"(Victoria is a knave if and only if Victoria is a knight) or Victoria is a knight\" - Zoey. \"if (Olivi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 754, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"telling-truth\", 3]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 0], [\"lying\", 3]], [\"and\", [\"lying\", 2], [\"lying\", 4]]],... | {"split": "train", "index": 11866} |
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, David, Jacob, Ethan, and Abigail. Chloe remarked, \"it is not the case that (Abigail is a hero if and only if David is a hero)\". David told y... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 755, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"lying\", 4]], [\"not\", [\"lying\", 0]]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\... | {"split": "train", "index": 11867} |
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, Jack, Olivia, Avery, and Samuel. Charlotte was heard saying, \"Avery is a sinner\". \"(Olivia is a sinner or Samuel is a saint or Charlott... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 756, \"statements\": [[\"lying\", 3], [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 0]], [\"telli... | {"split": "train", "index": 11868} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Ethan, Jacob, Joseph, Henry, and David. \"it is not the case that (if Henry is a saint then Henry is a sinner)\" - Ethan. Jacob was heard saying, \"(... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 757, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-... | {"split": "train", "index": 11869} |
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, Henry, Aurora, Daniel, and Grace. Sofia told you that Aurora is a knave. Henry asserted: \"if (Henry is a knave) then (Grace is a knave or Aur... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 758, \"statements\": [[\"lying\", 2], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 0], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\"... | {"split": "train", "index": 11870} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Harper, Ethan, Owen, David, and Liam. In a statement by Harper: \"if (David is a knave and Ethan is a knave) then (if David is a knight then David is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 759, \"statements\": [[\"->\", [\"and\", [\"lying\", 3], [\"lying\", 1]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]], [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 1]... | {"split": "train", "index": 11871} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Charlotte, Mia, Sophia, Daniel, and David. As Charlotte put it, \"if (if Charlotte is an altruist then Mia is an egoist) then Daniel is an egoi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 760, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"lying\", 3]], [\"lying\", 0], [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 4]], [\"and\", [\"telling-truth\"... | {"split": "train", "index": 11872} |
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: Abigail, Olivia, David, Mia, and Michael. Abigail said that if (Olivia is an altruist and Mia is an altruist) then (David is an egoist or Micha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 761, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\",... | {"split": "train", "index": 11873} |
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: Joseph, James, Penelope, Emily, and Luke. Joseph told you that (Penelope is a villain and Luke is a villain) or Penelope is a villain or (Emily is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 762, \"statements\": [[\"or\", [\"and\", [\"lying\", 2], [\"lying\", 4]], [\"lying\", 2], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"->\", [\"or\", ... | {"split": "train", "index": 11874} |
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: Chloe, Mia, Joseph, Sebastian, and Isabella. As Chloe put it, \"(Mia is a devil and Chloe is an angel and Sebastian is an angel) or (Sebastian is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 763, \"statements\": [[\"or\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth\"... | {"split": "train", "index": 11875} |
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, Ella, Jacob, Ava, and Ethan. Penelope asserted: \"if (Ethan is a laggard and Ava is a laggard and Ella is a pioneer and Jacob is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 764, \"statements\": [[\"->\", [\"and\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 2]], [\"telling-truth\", 4]], [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"lying\", 3], [\"or\", ... | {"split": "train", "index": 11876} |
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: Liam, Aria, Jack, Samuel, and Avery. Liam said that Jack is a knight. In a statement by Aria: \"(if Aria is a knight then Avery is a knave) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 765, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 4], [\"lying\", 4]]], ... | {"split": "train", "index": 11877} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Grace, Matthew, Isabella, Noah, and Charlotte. Grace said, \"(Charlotte is a sinner) and (Charlotte is a saint and Isabella is a sinner) and (Noah is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 766, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"or\", [\"lying\", 3], [\"lying\", 1]], [\"and\", [\"lying\", 1], [\"telling-truth\", 4], [\"telling-truth... | {"split": "train", "index": 11878} |
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, Abigail, Zoey, Elizabeth, and Olivia. Michael was heard saying, \"(Zoey is a knave and Olivia is a knave and Abigail is a knave) or (Olivia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 767, \"statements\": [[\"or\", [\"and\", [\"lying\", 2], [\"lying\", 4], [\"lying\", 1]], [\"not\", [\"lying\", 4]], [\"not\", [\"lying\", 3]]], [\"and\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 3]], [\"or\", [\"... | {"split": "train", "index": 11879} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Henry, Michael, Jacob, Olivia, and Noah. Henry expressed that Olivia is a villain. Michael expressed that (if Noah is a villain then Jacob is a hero)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 768, \"statements\": [[\"lying\", 3], [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\... | {"split": "train", "index": 11880} |
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: Matthew, Mia, Sebastian, Zoey, and Luke. Matthew expressed that (if Zoey is a knave then Sebastian is a knight) or (Mia is a knave) or (Luke is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 769, \"statements\": [[\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"->\", [\"telling-truth\"... | {"split": "train", "index": 11881} |
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, Harper, Jacob, Logan, and Aurora. William noted, \"if (Harper is a fool) then (Aurora is a sage if and only if Logan is a sage)\". Harper commente... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 770, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"lying\", 0], [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\"... | {"split": "train", "index": 11882} |
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: Evelyn, Avery, Victoria, Zoey, and Amelia. Evelyn noted, \"Amelia is a fool or (Zoey is a fool or Amelia is a fool or Evelyn is a sage)\". \"(if Zoey is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 771, \"statements\": [[\"or\", [\"lying\", 4], [\"or\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"lying\", 2], [\"and\", [\"lying\", 4], [\... | {"split": "train", "index": 11883} |
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: Penelope, Mia, Grace, Amelia, and Olivia. In a statement by Penelope: \"(Mia is a saint or Amelia is a saint or Grace is a saint) if and only if Oliv... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 772, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"and\", [\"telling-truth\",... | {"split": "train", "index": 11884} |
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, Emily, Owen, Jacob, and Emma. In Jack's words: \"if (Owen is an angel) then (Emma is an angel or Emily is a devil)\". Emily said that Owen is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 773, \"statements\": [[\"->\", [\"not\", [\"lying\", 2]], [\"or\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"telling-truth\", 2], [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"telling-truth\", 2], [\... | {"split": "train", "index": 11885} |
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: James, Ethan, Jacob, Lucas, and Penelope. In James's words: \"(if Lucas is a pioneer then Jacob is a laggard) and (if Penelope is a pioneer the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 774, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"or\... | {"split": "train", "index": 11886} |
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, Charlotte, David, Emily, and Sebastian. \"it is not the case that (David is an angel)\" - Aiden. Charlotte said, \"if (Charlotte is an angel if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 775, \"statements\": [[\"not\", [\"not\", [\"lying\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"telling-truth\", 4], [\"and\", [\"or\", [\"t... | {"split": "train", "index": 11887} |
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, Samuel, Mason, Sebastian, and Mia. In a statement by William: \"(if Mason is an altruist then Mia is an egoist) if and only if Mia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 776, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"telling-truth\", 4]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]],... | {"split": "train", "index": 11888} |
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, Elizabeth, Ava, Noah, and Oliver. \"(Oliver is an angel) or (Ava is an angel or Noah is a devil) or (if Elizabeth is a devil then Luke is an ange... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 777, \"statements\": [[\"or\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 2], [\"lying\", 3]], [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"lying\", 2]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"telli... | {"split": "train", "index": 11889} |
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, Zoey, Luke, Riley, and Evelyn. \"(Riley is an angel or Riley is a devil) if and only if (Riley is a devil if and only if Evelyn is a devil),\" ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 778, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 0]], [\"and\", [\"lying\", 4], [\"lying\", 0]]... | {"split": "train", "index": 11890} |
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: Penelope, Liam, Joseph, Aria, and David. Penelope expressed that (David is a sinner) or (David is a saint if and only if Joseph is a sinner). Accordi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 779, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 2]]], [\"... | {"split": "train", "index": 11891} |
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, Henry, Isabella, James, and Zoey. Jackson asserted: \"if (Zoey is a devil) then (Zoey is an angel and Isabella is an angel and Zoey is a devil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 780, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 2]]], [\"or\", [\"lying\", 3], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"ly... | {"split": "train", "index": 11892} |
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, Zoey, Aria, Grace, and William. In Evelyn's words: \"(if William is an egoist then Zoey is an egoist) if and only if (William is an ego... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 781, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\... | {"split": "train", "index": 11893} |
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, Joseph, Charlotte, Victoria, and Ethan. \"Victoria is a knight or (Zoey is a knave),\" Zoey claimed. \"(Charlotte is a knave if and only if Eth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 782, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"lying\", 3]]], [\"and\", [\"t... | {"split": "train", "index": 11894} |
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, Emma, Isabella, Alexander, and Zoey. According to Victoria, \"(if Victoria is a sage then Alexander is a fool) and (if Isabella is a sage then Em... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 783, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"lying\", 0]]], [\"->\", [\"and\", [... | {"split": "train", "index": 11895} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Harper, Lily, Lucas, Abigail, and David. \"if (Lucas is an angel) then (David is a devil or Lily is an angel or Abigail is an angel),\" Harper declared... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 784, \"statements\": [[\"->\", [\"not\", [\"lying\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"lying\", 4], [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3]], [\"<=>\", [\"telli... | {"split": "train", "index": 11896} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Emma, Lily, Aurora, Henry, and Elizabeth. Emma remarked, \"(Elizabeth is a sage and Lily is a sage and Aurora is a fool) or (Emma is a sage if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 785, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"not\", [\"lying\", 0]], [\"not\", [\"not\", [\"lying\", 1]]], [\"... | {"split": "train", "index": 11897} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Aria, Luke, Isabella, Liam, and Sophia. Aria said that (Luke is a pioneer or Isabella is a pioneer or Sophia is a pioneer or Liam is a laggard)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 786, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"telling-truth\", 4], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"not\", [\"lying\", 1]]], [\"or\", [... | {"split": "train", "index": 11898} |
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, Sebastian, Penelope, Owen, and Abigail. Oliver told you that (Oliver is a sage if and only if Abigail is a sage) and Abigail is a fool and (Penelop... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 787, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"lying\", 4], [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"lying\", 3]], [\"an... | {"split": "train", "index": 11899} |
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