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: Harper, Jack, Victoria, Aurora, and Alexander. In Harper's words: \"Victoria is a devil\". Jack said that it is not the case that (Harper is an angel o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 466, \"statements\": [[\"lying\", 2], [\"not\", [\"or\", [\"telling-truth\", 0], [\"and\", [\"lying\", 2], [\"telling-truth\", 2]]]], [\"or\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 2], [\"lyi... | {"split": "train", "index": 13800} |
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: Sebastian, Joseph, Benjamin, Alexander, and Sofia. Sebastian said that Joseph is a devil. In Joseph's words: \"if ((Benjamin is a devil and Sebastian i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 467, \"statements\": [[\"lying\", 1], [\"->\", [\"<=>\", [\"and\", [\"lying\", 2], [\"lying\", 0]], [\"telling-truth\", 0]], [\"lying\", 0]], [\"and\", [\"and\", [\"lying\", 1], [\"or\", [\"lying\", 1], [\"lying\", 3]]], [\"->... | {"split": "train", "index": 13801} |
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: Owen, Elizabeth, David, Jackson, and Daniel. \"Jackson is a laggard,\" Owen claimed. Elizabeth expressed that ((Elizabeth is a pioneer or Danie... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 468, \"statements\": [[\"lying\", 3], [\"or\", [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\... | {"split": "train", "index": 13802} |
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, Henry, Harper, Alexander, and Michael. David expressed that Harper is a devil or ((Henry is an angel if and only if Alexander is a devil) and He... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 469, \"statements\": [[\"or\", [\"lying\", 2], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"lying\", 1]]], [\"->\", [\"<=>\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\", 4]]], [\... | {"split": "train", "index": 13803} |
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, Benjamin, Joseph, Avery, and Jack. In Logan's words: \"(if (Avery is a sinner or Benjamin is a sinner) then Benjamin is a saint) and ((Joseph ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 470, \"statements\": [[\"and\", [\"->\", [\"or\", [\"lying\", 3], [\"lying\", 1]], [\"telling-truth\", 1]], [\"and\", [\"not\", [\"lying\", 2]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4]]]], [\"not\", [\"->\", [\"->\", [... | {"split": "train", "index": 13804} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Oliver, Avery, Ella, Matthew, and Scarlett. \"Scarlett is a villain,\" Oliver declared. \"if (Oliver is a hero and (Avery is a villain)) then (Oliver... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 471, \"statements\": [[\"lying\", 4], [\"->\", [\"and\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 3], [\"lying\", 2]]]], [\"not\", [\"<=>\", [\... | {"split": "train", "index": 13805} |
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, James, Daniel, Isabella, and Charlotte. \"(it is not the case that (Logan is a sage or Isabella is a sage)) and (Isabella is a fool),\" Logan mentio... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 472, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"telling-truth\", 0], [\"<=>\", [\"or\", [\"lying\", 0], [\"telling-truth\", ... | {"split": "train", "index": 13806} |
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: Jacob, Emma, Penelope, Zoey, and Ava. Jacob stated, \"((Emma is an angel or Zoey is a devil) and Ava is a devil) if and only if (Emma is a devil and (J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 473, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], [\"lying\", 4]], [\"and\", [\"lying\", 1], [\"not\", [\"telling-truth\", 0]]]], [\"and\", [\"or\", [\"or\", [\"lying\", 0], [\"lying\"... | {"split": "train", "index": 13807} |
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, Ava, Henry, David, and Mia. Logan asserted: \"if ((Mia is a knight) and (if Mia is a knave then Henry is a knave)) then (if (if David is a kna... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 474, \"statements\": [[\"->\", [\"and\", [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 0]]]], [\"not\", [\"and\",... | {"split": "train", "index": 13808} |
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, Olivia, Logan, Joseph, and Liam. Aria was heard saying, \"it is not the case that ((Olivia is a pioneer) and (Logan is a pioneer if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 475, \"statements\": [[\"not\", [\"and\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]]], [\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"and\", [\"telling-truth... | {"split": "train", "index": 13809} |
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, James, Victoria, Grace, and Charlotte. Logan said, \"if (it is not the case that (if Victoria is a sage then Charlotte is a fool)) then ((Charlotte ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 476, \"statements\": [[\"->\", [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]]]], [\"<=>\", [\"n... | {"split": "train", "index": 13810} |
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: Joseph, Jack, Charlotte, Aurora, and Logan. Joseph asserted: \"(it is not the case that (if Jack is an altruist then Aurora is an altruist)) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 477, \"statements\": [[\"or\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]]]], [\"->\... | {"split": "train", "index": 13811} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Owen, Amelia, Penelope, Samuel, and Mason. Owen noted, \"Samuel is a hero\". In Amelia's words: \"(Owen is a villain or (Samuel is a hero and Owen is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 478, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"or\", [\"lying\", 0], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"lying\", 2]]], [\"and\", [\"<=... | {"split": "train", "index": 13812} |
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, Riley, Evelyn, and Victoria. Samuel stated, \"((Jacob is a sage and Samuel is a sage) if and only if (Jacob is a fool if and only if Riley i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 479, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"->\", [\"telling-tr... | {"split": "train", "index": 13813} |
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: Ava, Daniel, Benjamin, James, and Elizabeth. Ava stated, \"Elizabeth is a knight or (Elizabeth is a knave and Elizabeth is a knight)\". \"Elizabeth i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 480, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"and\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"telling-truth\", 4], [\"->\", [\"->\", [\"telling-truth\", 4], [\"and\", [\"lying\", 3], [\"lying\", 1]]], [\"not\",... | {"split": "train", "index": 13814} |
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, Mia, Penelope, David, and Scarlett. Evelyn stated, \"if (if (if Mia is a fool then Penelope is a sage) then (Scarlett is a fool)) then (if (Penelop... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 481, \"statements\": [[\"->\", [\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"tell... | {"split": "train", "index": 13815} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Olivia, Abigail, Joseph, Zoey, and Aiden. According to Olivia, \"if ((Olivia is a sage or Zoey is a fool) or (Joseph is a fool)) then ((if Zoey is a fool t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 482, \"statements\": [[\"->\", [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"telling-truth\", 4]]], [\"or\", [\"no... | {"split": "train", "index": 13816} |
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: Lucas, Samuel, Oliver, Jackson, and Harper. \"if ((if Oliver is a hero then Harper is a villain) or (if Oliver is a hero then Lucas is a hero)) then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 483, \"statements\": [[\"->\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"not\", [\"and\", [\"an... | {"split": "train", "index": 13817} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Alexander, Henry, Ethan, Logan, and Isabella. According to Alexander, \"Isabella is an altruist\". Henry said that ((Logan is an egoist if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 484, \"statements\": [[\"not\", [\"lying\", 4]], [\"and\", [\"<=>\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"telling-truth\", 4]], [\"or\", [\"<=>\", [\"and\", [\"telli... | {"split": "train", "index": 13818} |
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: Emily, Matthew, Aiden, Sofia, and Lily. \"Emily is an angel or (it is not the case that (Sofia is a devil if and only if Aiden is a devil))\" - Emily. ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 485, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]]]], [\"lying\", 3], [\"telling-truth\", 4], [\"or\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"<=>\"... | {"split": "train", "index": 13819} |
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, Charlotte, Michael, Emma, and Penelope. Emily commented, \"(it is not the case that (Michael is a hero)) if and only if (Charlotte is a villai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 486, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"lying\", 2]]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"or\", [\"lying\", 2], [\"and\", [\"lyin... | {"split": "train", "index": 13820} |
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: Grace, Riley, Charlotte, Logan, and Penelope. Grace commented, \"it is not the case that ((if Charlotte is an altruist then Riley is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 487, \"statements\": [[\"not\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"or\", [\"lying\", 1], [\"lying\", 4]]]], [\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 3]]], ... | {"split": "train", "index": 13821} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: David, Chloe, Ella, Victoria, and Abigail. David commented, \"Ella is a fool if and only if ((David is a sage if and only if Chloe is a fool) and Ella is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 488, \"statements\": [[\"<=>\", [\"lying\", 2], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], [\"lying\", 2]]], [\"or\", [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"and\", [\"lying\", 4... | {"split": "train", "index": 13822} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Penelope, Evelyn, Mason, Jackson, and Lily. As Penelope put it, \"Evelyn is a devil\". In Evelyn's words: \"if (Lily is an angel if and only if (if Mas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 489, \"statements\": [[\"lying\", 1], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], ... | {"split": "train", "index": 13823} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Samuel, Benjamin, Avery, Noah, and Sebastian. Samuel stated, \"if ((Benjamin is an egoist if and only if Noah is an egoist) and (if Avery is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 490, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"not\", [\"->\", [\"lying\", 1], [\"lying\", 2]]]], [\"or\", [\"not\", [\"or\", [\"lying\... | {"split": "train", "index": 13824} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Noah, William, Alexander, Charlotte, and Elizabeth. In Noah's words: \"Alexander is a villain\". William said, \"Noah is a villain.\" \"it is not the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 491, \"statements\": [[\"lying\", 2], [\"lying\", 0], [\"not\", [\"->\", [\"not\", [\"lying\", 0]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"->\", [\"telling-truth\",... | {"split": "train", "index": 13825} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Sophia, Aria, Jack, Lily, and William. Sophia asserted: \"Aria is an angel if and only if ((Aria is an angel if and only if William is an angel) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 492, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 4]]]], [\"and\", [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\",... | {"split": "train", "index": 13826} |
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: Avery, Sofia, Sophia, Mia, and Harper. \"((Avery is a saint if and only if Sofia is a sinner) or (Avery is a saint if and only if Sofia is a saint)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 493, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"not\", [\"lying\", ... | {"split": "train", "index": 13827} |
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, Harper, Benjamin, Liam, and Emma. \"((Benjamin is a villain if and only if Emma is a hero) or (Logan is a hero or Emma is a hero)) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 494, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"t... | {"split": "train", "index": 13828} |
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: Chloe, Evelyn, Mason, Sofia, and Matthew. \"(if Matthew is a sinner then Evelyn is a saint) or Evelyn is a sinner,\" Chloe claimed. As Evelyn put it,... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 495, \"statements\": [[\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"lying\", 1]], [\"or\", [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], ... | {"split": "train", "index": 13829} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Zoey, Charlotte, Victoria, Daniel, and Ethan. In Zoey's words: \"(Ethan is an angel if and only if (Zoey is an angel if and only if Daniel is a devil))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 496, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 1]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]]]], [\"... | {"split": "train", "index": 13830} |
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: Liam, Ella, Evelyn, Jack, and Joseph. \"Evelyn is an egoist if and only if Jack is an egoist,\" Liam claimed. \"if (if (Liam is an altruist) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 497, \"statements\": [[\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"->\", [\"not\", [\"lying\", 0]], [\"or\", [\"lying\", 0], [\"lying\", 2]]], [\"->\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 0]]]], [\"... | {"split": "train", "index": 13831} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Evelyn, Charlotte, Aria, Lily, and Owen. Evelyn expressed that Lily is a knight. In a statement by Charlotte: \"((if Evelyn is a knave then Lily is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 498, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"or\", [\"->\", [\"lying\", 0], [\"telling-truth\", 3]], [\"telling-truth\", 2]], [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"and\", [\"not\", [\"lying\", 4]]... | {"split": "train", "index": 13832} |
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, Noah, Elizabeth, Ava, and Jacob. Abigail said that ((Elizabeth is an altruist if and only if Elizabeth is an egoist) if and only if Ab... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 499, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"telling-truth\", 0]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]]], [\"not\", [\"<=>\", [\"not\", [\"telling-truth... | {"split": "train", "index": 13833} |
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, Liam, Michael, Aurora, and Lucas. \"it is not the case that ((Aurora is a pioneer or Liam is a laggard) if and only if (Liam is a laggar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 500, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]]]], [\"or\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"<=>\", [\"... | {"split": "train", "index": 13834} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Abigail, Alexander, Noah, Zoey, and William. According to Abigail, \"(it is not the case that (Alexander is a knave and Abigail is a knight)) and Wil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 501, \"statements\": [[\"and\", [\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"telling-truth\", 4]], [\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1... | {"split": "train", "index": 13835} |
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: Matthew, Elizabeth, Abigail, Chloe, and Isabella. Matthew told you that it is not the case that ((Isabella is an altruist if and only if Elizab... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 502, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"lying\", 4]]], [\"or\", [\"->\", [\"lying\", 2], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"... | {"split": "train", "index": 13836} |
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, Joseph, Isabella, Aurora, and Sofia. Olivia remarked, \"Sofia is a knight\". As Joseph put it, \"Olivia is a knave\". \"(it is not the case t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 503, \"statements\": [[\"telling-truth\", 4], [\"lying\", 0], [\"and\", [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"and\", [\"lying\", 1], [\"tel... | {"split": "train", "index": 13837} |
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, Lily, Elizabeth, Sebastian, and William. As Mia put it, \"if ((Elizabeth is a villain) and (Sebastian is a villain or Lily is a hero)) then (it ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 504, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]]], [\"or\", [\"and\", [\"->\", [\"lying\... | {"split": "train", "index": 13838} |
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, Sophia, Jack, Emily, and Grace. According to Aiden, \"Grace is a pioneer\". Sophia noted, \"if (if (Grace is a pioneer) then (if Emily i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 505, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"->\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"lying\", 2]], [\"and\", [\"not\", [\"lying\", 0]], [\"or\", [\"telling-truth\", 2... | {"split": "train", "index": 13839} |
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, Lily, Penelope, Joseph, and Charlotte. Mason stated, \"it is not the case that (Mason is an egoist)\". In Lily's words: \"((Mason is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 506, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"or\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [... | {"split": "train", "index": 13840} |
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, Zoey, Ava, Evelyn, and Mason. Harper commented, \"Ava is a sage\". Zoey commented, \"(if Ava is a fool then (Mason is a fool and Harper is a sage))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 507, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"->\", [\"lying\", 2], [\"and\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"telling-truth\", 3]], [\"<=>\", [\"not\", [\"or\", [\"lying\", 1], [\"lying\", 4]]], [\"no... | {"split": "train", "index": 13841} |
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: Mia, Scarlett, David, Penelope, and Grace. Mia was heard saying, \"((if Penelope is a laggard then Grace is a pioneer) if and only if Mia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 508, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 0]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]]]], [\"lying\", 2... | {"split": "train", "index": 13842} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Alexander, Victoria, Joseph, Lily, and Olivia. Alexander expressed that Olivia is an egoist and ((Olivia is an altruist if and only if Alexande... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 509, \"statements\": [[\"and\", [\"lying\", 4], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]]], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"->\", [\"te... | {"split": "train", "index": 13843} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Riley, Oliver, Samuel, Daniel, and Elizabeth. In a statement by Riley: \"it is not the case that (if (Oliver is a sinner) then (Elizabeth is a saint ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 510, \"statements\": [[\"not\", [\"->\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]]]], [\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4]], [\"->\", [\"telling-... | {"split": "train", "index": 13844} |
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: Avery, Riley, Jackson, Sofia, and Penelope. \"Sofia is a knight and (it is not the case that (Jackson is a knave and Riley is a knight)),\" Avery dec... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 511, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1]]]], [\"->\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 3... | {"split": "train", "index": 13845} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Daniel, Ethan, Lily, and Noah. Aiden noted, \"it is not the case that ((if Noah is a knight then Ethan is a knight) or Lily is a knight)\". Da... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 512, \"statements\": [[\"not\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"telling-truth\", 3]]], [\"<=>\", [\"lying\", 2], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0... | {"split": "train", "index": 13846} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Victoria, William, Logan, Avery, and Emma. As Victoria put it, \"Emma is a laggard\". William asserted: \"it is not the case that (if (Logan is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 513, \"statements\": [[\"lying\", 4], [\"not\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 3], [\"lying\", 0]]]], [\"->\", [\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"or\", [... | {"split": "train", "index": 13847} |
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: Lily, Emily, David, Logan, and Aria. Lily said that Logan is a villain. Emily commented, \"((Aria is a villain and Aria is a hero) or (if Lily is a h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 514, \"statements\": [[\"lying\", 3], [\"<=>\", [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 0]], [\"not\... | {"split": "train", "index": 13848} |
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: Amelia, Chloe, Lucas, Sofia, and Daniel. Amelia noted, \"Daniel is a devil or (if Chloe is an angel then (if Chloe is an angel then Daniel is an angel)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 515, \"statements\": [[\"or\", [\"lying\", 4], [\"->\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]]], [\"lying\", 3], [\"->\", [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\",... | {"split": "train", "index": 13849} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ethan, Lily, Scarlett, Samuel, and Emily. Ethan told you that ((Scarlett is a knight) or (Emily is a knave or Samuel is a knave)) or (Scarlett is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 516, \"statements\": [[\"or\", [\"or\", [\"not\", [\"lying\", 2]], [\"or\", [\"lying\", 4], [\"lying\", 3]]], [\"<=>\", [\"telling-truth\", 2], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]]], [\"or\", [\"and\", [\"<=>\", [... | {"split": "train", "index": 13850} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Michael, Sebastian, Lily, Penelope, and Samuel. Michael asserted: \"Sebastian is a laggard\". Sebastian asserted: \"if ((Lily is a laggard if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 517, \"statements\": [[\"lying\", 1], [\"->\", [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-trut... | {"split": "train", "index": 13851} |
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, Amelia, Sophia, Ava, and Emily. Scarlett remarked, \"(it is not the case that (if Emily is a devil then Amelia is an angel)) or (it is not th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 518, \"statements\": [[\"or\", [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"lying\", 1], [\"lying\", 2]]]], [\"->\", [\"not\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"<=>\",... | {"split": "train", "index": 13852} |
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, James, Oliver, Aurora, and Luke. Noah said that James is a knave. \"((Luke is a knight or Oliver is a knave) and Aurora is a knave) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 519, \"statements\": [[\"lying\", 1], [\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2]], [\"lying\", 3]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 3],... | {"split": "train", "index": 13853} |
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: Charlotte, Oliver, Ella, Ava, and Zoey. \"((if Oliver is a sage then Oliver is a fool) or (Oliver is a sage or Charlotte is a sage)) and ((Zoey is a sage a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 520, \"statements\": [[\"and\", [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"->\"... | {"split": "train", "index": 13854} |
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, Emma, Samuel, Avery, and Logan. Isabella remarked, \"(Avery is a knave) if and only if (if (Logan is a knight and Isabella is a knight) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 521, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]]], [\"lying\", 2], [\"->\", [\"and\", [\"o... | {"split": "train", "index": 13855} |
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, James, Samuel, Mia, and Scarlett. According to Lucas, \"if ((James is a knight or Samuel is a knave) and (Mia is a knave or Scarlett is a knav... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 522, \"statements\": [[\"->\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"or\", [\"lying\", 3], [\"lying\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\", [\"lying\", 1]... | {"split": "train", "index": 13856} |
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: Ava, Aria, Victoria, Penelope, and James. According to Ava, \"James is a knave\". Aria said that (Penelope is a knave or (Aria is a knight and Victor... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 523, \"statements\": [[\"lying\", 4], [\"<=>\", [\"or\", [\"lying\", 3], [\"and\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], [\"lying\", 0]]]], [\"not\", [\... | {"split": "train", "index": 13857} |
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: Isabella, Zoey, Aiden, Ethan, and Victoria. As Isabella put it, \"Ethan is an egoist or ((Aiden is an altruist) or (Aiden is an altruist if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 524, \"statements\": [[\"or\", [\"lying\", 3], [\"or\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]]], [\"telling-truth\", 3], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"and\", [\"lying\", ... | {"split": "train", "index": 13858} |
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, Matthew, Charlotte, Logan, and Luke. Jacob was heard saying, \"((if Luke is a villain then Logan is a villain) and Charlotte is a hero) or ((L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 525, \"statements\": [[\"or\", [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"telling-truth\", 2]], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]]]... | {"split": "train", "index": 13859} |
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, Grace, Jack, Isabella, and Liam. \"Henry is a sage\" - Henry. As Grace put it, \"(if (Liam is a sage if and only if Liam is a fool) then (Liam is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 526, \"statements\": [[\"telling-truth\", 0], [\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0]], ... | {"split": "train", "index": 13860} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Samuel, Chloe, Victoria, Avery, and Abigail. \"it is not the case that ((Victoria is a saint and Samuel is a saint) and (Victoria is a sinner))\" - S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 527, \"statements\": [[\"not\", [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 2]]]], [\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"lying\",... | {"split": "train", "index": 13861} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: David, Scarlett, Olivia, Ava, and Mia. David said, \"Ava is a fool.\" As Scarlett put it, \"it is not the case that ((Mia is a sage and Scarlett is a sage)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 528, \"statements\": [[\"lying\", 3], [\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"not\", [\... | {"split": "train", "index": 13862} |
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, Grace, Olivia, Jack, and Avery. Mason remarked, \"it is not the case that (if (Grace is a laggard) then (Mason is a pioneer and Avery is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 529, \"statements\": [[\"not\", [\"->\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]]]], [\"<=>\", [\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\"... | {"split": "train", "index": 13863} |
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, Avery, Charlotte, Michael, and Abigail. William commented, \"(if (William is an angel or Charlotte is an angel) then Abigail is a devil) or (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 530, \"statements\": [[\"or\", [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"lying\", 4]], [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]]]], [\"and\", [\"<=... | {"split": "train", "index": 13864} |
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: Avery, Matthew, Noah, Charlotte, and Owen. \"Matthew is a knave\" - Avery. Matthew expressed that if (it is not the case that (Charlotte is a knave a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 531, \"statements\": [[\"lying\", 1], [\"->\", [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]]]], [\"and\", [\"telling-... | {"split": "train", "index": 13865} |
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, Avery, Jacob, Sebastian, and Aiden. As Ava put it, \"(Sebastian is a laggard or (Aiden is a laggard or Aiden is a pioneer)) if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 532, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 3], [\"or\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]]]], [\"->\... | {"split": "train", "index": 13866} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: David, Samuel, Ella, Evelyn, and Elizabeth. David noted, \"Ella is an altruist if and only if ((Ella is an altruist if and only if Evelyn is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 533, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]]], [\"not\", [\"<=>\", [\"not\", [\"lying\", ... | {"split": "train", "index": 13867} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Sebastian, Amelia, Scarlett, Owen, and Ethan. \"it is not the case that ((Ethan is a laggard) and Ethan is a pioneer)\" - Sebastian. Amelia was... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 534, \"statements\": [[\"not\", [\"and\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]]], [... | {"split": "train", "index": 13868} |
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, Charlotte, Elizabeth, Liam, and Jackson. Harper expressed that ((Liam is a saint and Elizabeth is a sinner) and (Charlotte is a sinner)) or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 535, \"statements\": [[\"or\", [\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"lying\", 3]]]], [\"not\", [\"not\", [\"->\", [\"lying\", 2], [\"lying\", 0]... | {"split": "train", "index": 13869} |
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: Sophia, Aurora, Lucas, Amelia, and Daniel. \"if (Amelia is a saint if and only if (Sophia is a saint if and only if Amelia is a saint)) then ((Sophia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 536, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"lying\", 2]]], [\"or\", [\"->\... | {"split": "train", "index": 13870} |
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, Emma, Sofia, Mason, and Samuel. According to Abigail, \"if (it is not the case that (Mason is an altruist)) then ((Samuel is an egoist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 537, \"statements\": [[\"->\", [\"not\", [\"not\", [\"lying\", 3]]], [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"and\", [\"lying\", 2], [\"telling-truth\", 4]]]], [\"or\", [\"not\", [\"and\", [\"telling-tru... | {"split": "train", "index": 13871} |
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, Mason, Amelia, Penelope, and Grace. Henry stated, \"(if (Henry is a laggard) then (Henry is a pioneer if and only if Grace is a laggard)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 538, \"statements\": [[\"and\", [\"->\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"telling-truth\", 4]], [\"and\", [\"<=>\", [\"and\", [\"lying\", 0], [\"lying\", 2]], [\"and\", ... | {"split": "train", "index": 13872} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Emily, Luke, William, Evelyn, and Henry. According to Emily, \"Henry is a fool or (Henry is a fool)\". As Luke put it, \"(if Emily is a fool then (Henry is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 539, \"statements\": [[\"or\", [\"lying\", 4], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"lying\", 0], [\"or\", [\"lying\", 4], [\"lying\", 0]]], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]... | {"split": "train", "index": 13873} |
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, Sebastian, Jacob, Ava, and Zoey. Owen commented, \"Zoey is an egoist and ((Sebastian is an egoist or Jacob is an altruist) or (Sebastian ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 540, \"statements\": [[\"and\", [\"lying\", 4], [\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2]], [\"not\", [\"lying\", 1]]]], [\"not\", [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 0]], [\"not\", [\"telling... | {"split": "train", "index": 13874} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Luke, Jacob, Riley, Owen, and Avery. \"((Riley is an altruist) if and only if Owen is an altruist) and ((Jacob is an altruist and Luke is an al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 541, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 3]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"and\", [\"lying\", 3], [\"telling-truth\", 3]]]], [\"<=>\", ... | {"split": "train", "index": 13875} |
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: Liam, Jack, Sofia, Aiden, and Joseph. \"(Liam is a saint and Aiden is a saint) and (Jack is a saint and (Liam is a sinner)),\" Liam declared. Accordi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 542, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 0]]]], [\"<=>\", [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", ... | {"split": "train", "index": 13876} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Samuel, Avery, Ava, and Henry. Aiden asserted: \"(if (Samuel is a knight if and only if Aiden is a knight) then (Samuel is a knave if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 543, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"<=... | {"split": "train", "index": 13877} |
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: Luke, Sophia, Joseph, Henry, and Ava. Luke remarked, \"if ((Joseph is a villain if and only if Joseph is a hero) or (Henry is a villain or Luke is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 544, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"<=>\", [\"lying\", 2], [\"tel... | {"split": "train", "index": 13878} |
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, Grace, Sofia, Matthew, and Emma. Harper was heard saying, \"if ((Harper is an angel and Sofia is a devil) and (Grace is an angel)) then ((Grace... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 545, \"statements\": [[\"->\", [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2]], [\"not\", [\"lying\", 1]]], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 1], [\"lying\", 3]]]], [\"->\", [\"and\"... | {"split": "train", "index": 13879} |
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, Aurora, Aiden, Zoey, and Ella. Sofia noted, \"(if (Aiden is an egoist) then (if Zoey is an altruist then Ella is an altruist)) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 546, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]]]], [\"not\", [\"<=>\"... | {"split": "train", "index": 13880} |
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, Abigail, Ethan, James, and Jack. \"it is not the case that (Jack is a knight if and only if (Jack is a knight or James is a knight)),\" Harpe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 547, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]]]], [\"telling-truth\", 4], [\"->\", [\"->\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 1]]]... | {"split": "train", "index": 13881} |
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, Liam, Joseph, Victoria, and Henry. Luke said that (Victoria is a sinner if and only if (Liam is a saint and Victoria is a saint)) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 548, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 3], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"->\", [\"lying\", 0], [\"t... | {"split": "train", "index": 13882} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: James, Lucas, Owen, Oliver, and Sebastian. As James put it, \"Lucas is a sinner\". \"(it is not the case that (Oliver is a sinner and Owen is a sinne... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 549, \"statements\": [[\"lying\", 1], [\"or\", [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]]]], [\"o... | {"split": "train", "index": 13883} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Joseph, Chloe, Jackson, Alexander, and Liam. Joseph remarked, \"if ((if Chloe is a fool then Jackson is a sage) and (Alexander is a sage)) then (it is not ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 550, \"statements\": [[\"->\", [\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]]], [\"not\", [\"not\", [\"lying\", 3]]]], [\"or\", [\"lying\", 0], [\"or\", [\"<=>\", [\"lying\", 2], [\"lying... | {"split": "train", "index": 13884} |
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, Penelope, Isabella, Alexander, and Emma. Harper remarked, \"Alexander is a devil if and only if Emma is an angel\". Penelope commented, \"((Isa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 551, \"statements\": [[\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"not\", [\"or\", [\"telling-tr... | {"split": "train", "index": 13885} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Penelope, Ethan, Elizabeth, Logan, and James. Penelope stated, \"((Logan is a devil or James is a devil) and James is an angel) and (Elizabeth is a dev... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 552, \"statements\": [[\"and\", [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"telling-truth\", 4]], [\"and\", [\"lying\", 2], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]]]], [\"not\", [\"or\", [\"and\", [... | {"split": "train", "index": 13886} |
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, Joseph, William, Henry, and David. In a statement by Evelyn: \"((Joseph is a saint) if and only if (William is a saint)) if and only if (Will... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 553, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"lying\", 1]], [\"not\", [\"lying\", 2]]], [\"or\", [\"telling-truth\", 2], [\"or\", [\"lying\", 3], [\"lying\", 2]]]], [\"->\", [\"->\", [\"<=>\", [\"lying\", 3], [\"telli... | {"split": "train", "index": 13887} |
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, James, Ethan, Aurora, and Victoria. Sophia said that it is not the case that (it is not the case that (Sophia is a knight or Ethan is a knigh... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 554, \"statements\": [[\"not\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]]]], [\"not\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]]]], [\"and\", [\"telling-truth\", 1], [\"and\", [\"->\",... | {"split": "train", "index": 13888} |
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, Aurora, David, Benjamin, and Noah. Grace commented, \"it is not the case that ((if Benjamin is a sage then David is a sage) and (David is a fool or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 555, \"statements\": [[\"not\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"or\", [\"lying\", 2], [\"telling-truth\", 2]]]], [\"and\", [\"or\", [\"or\", [\"lying\", 0], [\"telling-truth\", 1]], [\"or... | {"split": "train", "index": 13889} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Victoria, Amelia, Samuel, Emily, and Evelyn. Victoria commented, \"(if (Samuel is a laggard and Evelyn is a pioneer) then Evelyn is a laggard) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 556, \"statements\": [[\"or\", [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4]], [\"lying\", 4]], [\"and\", [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]]], [\"ly... | {"split": "train", "index": 13890} |
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, Riley, Grace, Noah, and Lily. Jacob told you that Lily is an altruist or ((Grace is an egoist or Riley is an altruist) or (Grace is an e... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 557, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]], [\"or\", [\"lying\", 2], [\"lying\", 1]]]], [\"or\", [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]],... | {"split": "train", "index": 13891} |
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: Sebastian, Isabella, Mason, Emily, and Zoey. Sebastian commented, \"Mason is an angel\". Isabella was heard saying, \"(if (Zoey is a devil) then Mason ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 558, \"statements\": [[\"not\", [\"lying\", 2]], [\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 2]], [\"not\", [\"not\", [\"lying\", 2]]]], [\"->\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"... | {"split": "train", "index": 13892} |
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, Mia, Emma, Isabella, and Mason. \"Mia is a fool,\" Logan declared. Mia noted, \"Mia is a sage\". \"if (it is not the case that (Mason is a fool)) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 559, \"statements\": [[\"lying\", 1], [\"telling-truth\", 1], [\"->\", [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"l... | {"split": "train", "index": 13893} |
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: Avery, Sebastian, Elizabeth, David, and Sofia. Avery was heard saying, \"(it is not the case that (Elizabeth is a hero or Elizabeth is a villain)) an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 560, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"lying\", 4]]]], [\"or\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"tell... | {"split": "train", "index": 13894} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Benjamin, Zoey, Avery, Abigail, and David. Benjamin asserted: \"if Abigail is a pioneer then ((Abigail is a laggard) if and only if (if David i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 561, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]]], [\"<=>\", [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\... | {"split": "train", "index": 13895} |
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: Sophia, Sofia, Avery, Sebastian, and Amelia. Sophia remarked, \"if Sofia is a villain then ((Sophia is a hero and Avery is a villain) or (Amelia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 562, \"statements\": [[\"->\", [\"lying\", 1], [\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]]]], [\"telling-truth\", 0], [\"not\", [\"or\", [\"or\", [\"lyin... | {"split": "train", "index": 13896} |
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: Lucas, Emily, Sophia, Elizabeth, and Ava. In Lucas's words: \"Elizabeth is a hero\". \"if ((Elizabeth is a villain or Lucas is a villain) or (Ava is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 563, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"or\", [\"or\", [\"lying\", 3], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [... | {"split": "train", "index": 13897} |
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, Logan, Ethan, Zoey, and Noah. \"it is not the case that (if (Noah is an angel or Logan is a devil) then (if Logan is a devil then Noah is a devi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 564, \"statements\": [[\"not\", [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1]], [\"->\", [\"lying\", 1], [\"lying\", 4]]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 2], [\"telling-trut... | {"split": "train", "index": 13898} |
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, William, Amelia, David, and Aria. Alexander was heard saying, \"((William is a sinner) or Aria is a sinner) or ((William is a sinner or Am... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 565, \"statements\": [[\"or\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"lying\", 4]], [\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]]]], [\"not\", [\"and\", [\"<=>\", [\"lying\", 3],... | {"split": "train", "index": 13899} |
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