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: Ethan, Logan, Owen, Daniel, and Jack. \"((Ethan is a pioneer or Jack is a laggard or Daniel is a laggard) and (Jack is a pioneer or Logan is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 622, \"statements\": [[\"and\", [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 3]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"telling-truth\"... | {"split": "train", "index": 18400} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Benjamin, Elizabeth, Ella, Samuel, and Ava. Benjamin noted, \"it is not the case that ((Ella is a knave) and (Elizabeth is a knave or Samuel is a kna... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 623, \"statements\": [[\"not\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"lying\", 1], [\"or\", [\"lying\", 1], [\"telling-truth\"... | {"split": "train", "index": 18401} |
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, Penelope, Scarlett, Mason, and Chloe. \"((Mason is a fool) if and only if (if Penelope is a sage then Scarlett is a sage)) if and only if (Chloe is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 624, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"or\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"<=>\... | {"split": "train", "index": 18402} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Evelyn, Jacob, David, Oliver, and Mason. Evelyn stated, \"it is not the case that ((if Jacob is a devil then Oliver is an angel) and (Oliver is a devil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 625, \"statements\": [[\"not\", [\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 2]]]], [\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<... | {"split": "train", "index": 18403} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Grace, Amelia, Riley, Aria, and Charlotte. \"((Charlotte is a devil or Amelia is a devil) and (Riley is a devil if and only if Riley is an angel) and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 626, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"lying\", 4], [\"lying\", 1]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"... | {"split": "train", "index": 18404} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Matthew, Elizabeth, Evelyn, Grace, and Oliver. Matthew expressed that Grace is a pioneer. In Elizabeth's words: \"((Evelyn is a pioneer) or (Ev... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 627, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"or\", [\"not\", [\"lying\", 2]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], [\"lying\", 0], [\"... | {"split": "train", "index": 18405} |
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, Mia, Scarlett, Avery, and Jackson. Sophia remarked, \"if (it is not the case that (Avery is a fool if and only if Mia is a sage)) then ((Mia is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 628, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"or\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 3], [\"telli... | {"split": "train", "index": 18406} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Emma, Mason, Victoria, Mia, and William. \"Mason is a pioneer and ((Victoria is a pioneer or Mia is a pioneer or William is a laggard or Mason ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 629, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 1]], [\"lying\", 3]], [\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\... | {"split": "train", "index": 18407} |
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: Evelyn, Logan, Sebastian, Noah, and Olivia. \"(if (Noah is a hero if and only if Noah is a villain) then (Olivia is a hero or Olivia is a villain)) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 630, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 3], [\... | {"split": "train", "index": 18408} |
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: Noah, Amelia, David, Grace, and Charlotte. Noah told you that it is not the case that (Charlotte is a sinner if and only if (Grace is a saint and Ame... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 631, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 4], [\"and\", [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 2]]]], [\"not\", [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"lying\", 4]]], [\"... | {"split": "train", "index": 18409} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Michael, Lucas, Matthew, Jackson, and Chloe. As Michael put it, \"((Jackson is a villain and Michael is a hero and Matthew is a hero) or (if Chloe is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 632, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3]], [\... | {"split": "train", "index": 18410} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sebastian, Logan, Emily, Amelia, and Chloe. Sebastian asserted: \"((Emily is a knave or Chloe is a knave or Logan is a knave or Amelia is a knight) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 633, \"statements\": [[\"or\", [\"or\", [\"or\", [\"lying\", 2], [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-truth\", 2], [\"telling-truth\", 1]... | {"split": "train", "index": 18411} |
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: Ava, Penelope, Jacob, Ethan, and Olivia. Ava told you that (it is not the case that (if Olivia is a sage then Olivia is a fool)) or (if (if Jacob is a fool... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 634, \"statements\": [[\"or\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"->\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]]]], [\"and\", [\"not\", [\... | {"split": "train", "index": 18412} |
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, Ella, Scarlett, James, and Daniel. Chloe commented, \"it is not the case that (if (Daniel is a fool if and only if Scarlett is a fool) then (Chloe i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 635, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]]], [\"not\", [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 0... | {"split": "train", "index": 18413} |
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, Alexander, Sophia, Luke, and Charlotte. \"if ((Alexander is a hero or Charlotte is a hero or Sophia is a villain or Sophia is a hero) and (Alex... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 636, \"statements\": [[\"->\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"lying\", 1], [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\",... | {"split": "train", "index": 18414} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Chloe, Luke, Jack, Sophia, and Lucas. \"Lucas is a sage\" - Chloe. Luke stated, \"if ((if Jack is a sage then Lucas is a sage) and (Lucas is a fool if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 637, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\"... | {"split": "train", "index": 18415} |
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, David, Ava, Amelia, and Liam. Isabella remarked, \"if (if (if Isabella is a saint then Liam is a saint) then (Ava is a saint or David is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 638, \"statements\": [[\"->\", [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4]], [\"<=>\",... | {"split": "train", "index": 18416} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Matthew, Aria, Evelyn, Mia, and Grace. Matthew commented, \"if (if (if Mia is a devil then Grace is an angel) then (Evelyn is a devil or Evelyn is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 639, \"statements\": [[\"->\", [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"telling-truth\"... | {"split": "train", "index": 18417} |
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: Henry, Sofia, Grace, Zoey, and Alexander. Henry was heard saying, \"Sofia is an egoist and ((Sofia is an egoist) if and only if (Sofia is an eg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 640, \"statements\": [[\"and\", [\"lying\", 1], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]... | {"split": "train", "index": 18418} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Lily, Ella, Henry, Mason, and Jack. Lily said, \"Ella is an egoist if and only if Ella is an altruist.\" In Ella's words: \"it is not the case ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 641, \"statements\": [[\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]]], [\"and\", [\"not\", [\"and\", [\"lying\", 0], [\"lying\", ... | {"split": "train", "index": 18419} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Joseph, David, Samuel, Daniel, and Jack. \"Samuel is a saint,\" Joseph declared. \"((if Daniel is a sinner then David is a saint) or (Samuel is a sin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 642, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 2], [\"lying\", 0]], [\"not\", [\"lying\", 4]], [\"telling-truth\", 0]], [\"and\", [\"<=>... | {"split": "train", "index": 18420} |
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: James, Olivia, Avery, Matthew, and Jack. James expressed that it is not the case that (it is not the case that (Olivia is an angel)). In Olivia's words... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 643, \"statements\": [[\"not\", [\"not\", [\"not\", [\"lying\", 1]]]], [\"or\", [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"tellin... | {"split": "train", "index": 18421} |
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: Ella, Liam, Zoey, Chloe, and Joseph. According to Ella, \"Liam is a pioneer or Chloe is a pioneer or (if Zoey is a laggard then (Zoey is a pion... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 644, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"->\", [\"lying\", 2], [\"and\", [\"telling-truth\", 2], [\"lying\", 2]]]], [\"not\", [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0]], ... | {"split": "train", "index": 18422} |
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: Ethan, Victoria, Avery, Elizabeth, and Jacob. According to Ethan, \"(if (Ethan is a pioneer or Victoria is a laggard or Victoria is a pioneer o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 645, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-tr... | {"split": "train", "index": 18423} |
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: Zoey, Matthew, David, Charlotte, and Riley. In Zoey's words: \"if (Riley is a laggard or (Riley is a laggard)) then (it is not the case that (R... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 646, \"statements\": [[\"->\", [\"or\", [\"lying\", 4], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]]], [\"or\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", ... | {"split": "train", "index": 18424} |
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, Abigail, Mia, Mason, and Jack. \"if Mason is a hero then ((Jack is a villain and Sophia is a hero and Mia is a hero) and Mason is a hero and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 647, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"->\", [\... | {"split": "train", "index": 18425} |
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, Ella, Victoria, Ava, and Mason. In a statement by Ethan: \"if ((if Victoria is a sinner then Ella is a saint) if and only if (Ella is a saint ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 648, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"telling-truth\", 3]], [\"not\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"a... | {"split": "train", "index": 18426} |
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, Aurora, Michael, Sofia, and Isabella. Liam asserted: \"(if (Sofia is an altruist and Michael is an altruist and Liam is an altruist) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 649, \"statements\": [[\"or\", [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-trut... | {"split": "train", "index": 18427} |
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: Daniel, Aria, James, Scarlett, and Isabella. Daniel was heard saying, \"((if Aria is a hero then Scarlett is a villain) and (Scarlett is a hero)) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 650, \"statements\": [[\"or\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"not\", [\"lying\", 3]]], [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]... | {"split": "train", "index": 18428} |
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, Samuel, Aiden, Matthew, and Emma. Logan said, \"((if Matthew is a saint then Aiden is a saint) if and only if (Samuel is a saint and Samuel is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 651, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"lying\", 1], [\"telling-truth\", 0]]], [\"->\", [\"telling-truth\", 2], [\"->\", [\"tellin... | {"split": "train", "index": 18429} |
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, Ella, David, Riley, and Oliver. According to Lily, \"it is not the case that ((Riley is an angel if and only if David is a devil) or (Lily is a d... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 652, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"lying\", 2]]], [\"and\", [\"not\", [\"or\", [... | {"split": "train", "index": 18430} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Zoey, Mason, Matthew, Owen, and Abigail. Zoey expressed that Matthew is a sage or (it is not the case that (Owen is a fool if and only if Mason is a fool))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 653, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 1]]]], [\"and\", [\"and\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"not\", [\"->\", [... | {"split": "train", "index": 18431} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Mason, Ava, Aiden, Sophia, and Jack. \"(it is not the case that (Aiden is a villain and Jack is a hero and Ava is a hero and Ava is a villain)) or (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 654, \"statements\": [[\"or\", [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1], [\"lying\", 2]], [\"lying\", 2]], [... | {"split": "train", "index": 18432} |
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, Jack, Chloe, Alexander, and Charlotte. Harper noted, \"Charlotte is a hero\". In Jack's words: \"Chloe is a villain\". Chloe stated, \"(it is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 655, \"statements\": [[\"not\", [\"lying\", 4]], [\"lying\", 2], [\"and\", [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"lying\", 0]]], [\"and\", [\"->\"... | {"split": "train", "index": 18433} |
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: Aiden, Lucas, Jack, Owen, and Zoey. Aiden said that if Lucas is a sinner then (if (Zoey is a sinner and Lucas is a sinner and Zoey is a saint and Luc... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 656, \"statements\": [[\"->\", [\"lying\", 1], [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"->\", [\"lying\", 1], [\"lying\", 2]]]], [\"not\", [\"lying\", 0]], [\"or\",... | {"split": "train", "index": 18434} |
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: James, Logan, Jacob, Sebastian, and Zoey. According to James, \"((if Logan is an angel then Logan is a devil) if and only if (James is an angel or Loga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 657, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"or\", [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 2]]], [\"<=>\", [\"lying\", 3], [\"->\", [\"telling-truth\", 2], [... | {"split": "train", "index": 18435} |
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: Aurora, Abigail, Samuel, Chloe, and Victoria. Aurora said that ((Chloe is a sage if and only if Chloe is a fool) if and only if (Chloe is a sage and Abigai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 658, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"lying\", 4],... | {"split": "train", "index": 18436} |
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, Harper, Oliver, Victoria, and Noah. James said that ((if Victoria is a villain then Oliver is a hero) or (Victoria is a villain if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 659, \"statements\": [[\"and\", [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 3]]... | {"split": "train", "index": 18437} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Scarlett, Jackson, Aria, Emma, and Michael. \"(Emma is a knight and (Aria is a knight or Scarlett is a knight or Aria is a knave) and (Scarlett is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 660, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\", 3], [\"lying\", ... | {"split": "train", "index": 18438} |
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, Abigail, Noah, Liam, and Alexander. As Henry put it, \"Abigail is a hero\". Abigail said, \"it is not the case that ((Noah is a villain and Li... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 661, \"statements\": [[\"not\", [\"lying\", 1]], [\"not\", [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"or\", [\"lying\", 0], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\",... | {"split": "train", "index": 18439} |
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, Michael, Sebastian, Chloe, and Alexander. Sophia commented, \"(if (Alexander is a villain or Sebastian is a hero or Chloe is a hero or Sophia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 662, \"statements\": [[\"or\", [\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"lying\", 4], [\"not\", [... | {"split": "train", "index": 18440} |
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, Penelope, Scarlett, Aiden, and Aurora. Riley remarked, \"(Scarlett is a saint and (Penelope is a sinner and Riley is a saint)) and Scarlett is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 663, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 2], [\"and\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"lying\", 2], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 4], [\"lying\", 1]]], [\"... | {"split": "train", "index": 18441} |
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, Matthew, Sofia, Jack, and Riley. James said, \"it is not the case that ((Riley is a villain) or (Sofia is a villain if and only if Jack is a v... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 664, \"statements\": [[\"not\", [\"or\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"lying\", 3]], [\"telling-truth\", 2]]], [\"lying\", 2], [\"or\", [\"<=... | {"split": "train", "index": 18442} |
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, Oliver, Abigail, Jack, and Logan. Chloe expressed that it is not the case that ((Abigail is a fool and Abigail is a sage and Oliver is a sage and Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 665, \"statements\": [[\"not\", [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 3]]]], [\"and\"... | {"split": "train", "index": 18443} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Benjamin, Harper, Jackson, Sophia, and Zoey. Benjamin said, \"((Harper is a fool and Sophia is a fool) if and only if (if Zoey is a fool then Benjamin is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 666, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"t... | {"split": "train", "index": 18444} |
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: Logan, Aria, Isabella, Jackson, and Evelyn. \"if (it is not the case that (Jackson is a devil)) then ((Jackson is a devil) or Jackson is a devil or (Ev... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 667, \"statements\": [[\"->\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 3], [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 0], [\"lying\", 1]]... | {"split": "train", "index": 18445} |
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, Mia, Daniel, Sophia, and Scarlett. \"((Logan is a knight or Sophia is a knight or Daniel is a knave or Scarlett is a knave) and (Scarlett is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 668, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], ... | {"split": "train", "index": 18446} |
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, Elizabeth, Sofia, David, and Mason. \"((David is a fool if and only if Sofia is a sage) if and only if (Mason is a sage)) and ((if Sofia is a fool ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 669, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\",... | {"split": "train", "index": 18447} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Daniel, Ava, Aria, Jack, and Owen. Daniel noted, \"it is not the case that ((Daniel is a pioneer or Ava is a laggard or Owen is a pioneer or Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 670, \"statements\": [[\"not\", [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 4]]]], [\"lying\"... | {"split": "train", "index": 18448} |
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, Sophia, Ava, Aria, and Elizabeth. \"(it is not the case that (if Sophia is an egoist then Aria is an egoist)) if and only if ((Ava is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 671, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"lying\", 1], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"and\", [\"lying\", 1], [\"telling-truth\", 0],... | {"split": "train", "index": 18449} |
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, Benjamin, Joseph, William, and Chloe. According to Isabella, \"((Benjamin is a knave and William is a knight) and (Joseph is a knight if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 672, \"statements\": [[\"and\", [\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"telling-truth\", 0], [\"and\", [\"or\", [\"telling-truth\", 0], [\"lyi... | {"split": "train", "index": 18450} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Scarlett, Oliver, Mia, and Aiden. Chloe was heard saying, \"((Mia is a knight and Scarlett is a knight and Mia is a knave) or (Oliver is a kna... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 673, \"statements\": [[\"and\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 1], [\"lying\", 2], [... | {"split": "train", "index": 18451} |
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, Luke, Olivia, Michael, and Lily. Daniel remarked, \"((Olivia is a saint and Lily is a sinner and Luke is a sinner) if and only if (Michael is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 674, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 1]], [\"not\", [\"lying\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]]]], [\"lying\", 2], [\"and\", ... | {"split": "train", "index": 18452} |
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, Abigail, Sophia, Lucas, and Logan. Aiden expressed that (if (Lucas is an angel) then (Sophia is an angel and Lucas is an angel and Logan is a de... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 675, \"statements\": [[\"and\", [\"->\", [\"not\", [\"lying\", 3]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1],... | {"split": "train", "index": 18453} |
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, Sofia, Aria, and Isabella. Penelope expressed that ((Penelope is a sinner) and (Penelope is a saint if and only if Mia is a saint) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 676, \"statements\": [[\"or\", [\"and\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], [\"lying\", 1]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"l... | {"split": "train", "index": 18454} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jacob, Noah, Riley, Scarlett, and Mason. Jacob asserted: \"if (if (Jacob is a knight if and only if Riley is a knave) then (Scarlett is a knight if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 677, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"and\", [\"lying\", 3], [\... | {"split": "train", "index": 18455} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Sophia, Emily, Avery, Liam, and Penelope. Sophia said that it is not the case that ((Penelope is a laggard and Liam is a laggard) or (if Penelo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 678, \"statements\": [[\"not\", [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"telling-truth\", 2]]], [\"telling-truth\", 4], [\"and\", [\"and\", [\"not\", [\"lying\", ... | {"split": "train", "index": 18456} |
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: Charlotte, Amelia, Liam, Chloe, and Mia. \"it is not the case that ((Amelia is a laggard if and only if Liam is a laggard) and (Amelia is a pio... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 679, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]]], [\"not\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", ... | {"split": "train", "index": 18457} |
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, Mia, Liam, Logan, and Olivia. In Aiden's words: \"(Logan is a hero) if and only if ((Mia is a hero if and only if Mia is a villain) and (Liam ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 680, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 3]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 4], [\"lying\", 1]], [\"->\", [\"lying\", 1]... | {"split": "train", "index": 18458} |
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, Harper, Chloe, Sebastian, and David. Joseph asserted: \"Sebastian is a villain\". As Harper put it, \"((Joseph is a hero and Chloe is a hero ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 681, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"or\", [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]], [\"<=>\", [\"tell... | {"split": "train", "index": 18459} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Penelope, Luke, Aria, Owen, and Lucas. According to Penelope, \"Lucas is a fool\". Luke commented, \"((Lucas is a sage) and (Lucas is a fool if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 682, \"statements\": [[\"lying\", 4], [\"and\", [\"and\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"lying\", 0]]], [\"lying\", 2... | {"split": "train", "index": 18460} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mason, Zoey, Logan, Isabella, and Alexander. Mason stated, \"((Isabella is a knave and Alexander is a knave and Alexander is a knight and Mason is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 683, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"telling-truth\", 3]], [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"<=>\",... | {"split": "train", "index": 18461} |
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: Daniel, Elizabeth, Emma, Liam, and Chloe. \"Chloe is an egoist,\" Daniel mentioned. Elizabeth stated, \"((Chloe is an altruist) or (Elizabeth i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 684, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"or\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"telling-truth\", 4]], [\"or\", [\"not\", [\"telling-truth\", ... | {"split": "train", "index": 18462} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Aria, Joseph, Mia, Penelope, and Luke. Aria said that ((Penelope is an angel if and only if Luke is an angel) and (Penelope is a devil) and (Mia is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 685, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 2]]], [\"or\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\",... | {"split": "train", "index": 18463} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Owen, Mason, Lily, William, and Sofia. Owen said that it is not the case that (William is a devil or (Sofia is an angel) or Owen is an angel or (Lily i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 686, \"statements\": [[\"not\", [\"or\", [\"lying\", 3], [\"not\", [\"lying\", 4]], [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"not\", [\"lying\", ... | {"split": "train", "index": 18464} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: David, Evelyn, Harper, Aria, and Sophia. As David put it, \"if David is a saint then ((if Aria is a saint then Evelyn is a sinner) if and only if (Ar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 687, \"statements\": [[\"->\", [\"telling-truth\", 0], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"lying\", 3], [\"lying\", 4]]]], [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"not\", [\"telling-t... | {"split": "train", "index": 18465} |
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, Olivia, Oliver, Daniel, and Lily. \"if (if Olivia is a devil then (Olivia is an angel or Oliver is an angel or Oliver is a devil)) then (Dani... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 688, \"statements\": [[\"->\", [\"->\", [\"lying\", 1], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 2]]], [\"or\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"or\", [\"... | {"split": "train", "index": 18466} |
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: Logan, Michael, Sophia, Amelia, and Sebastian. In Logan's words: \"if (Sophia is a devil and (Amelia is a devil and Logan is an angel and Michael is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 689, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"and\", [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"and\", [\"lying\", 4], [\"not\", [\"lying\", 4]... | {"split": "train", "index": 18467} |
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, Sophia, Aria, Daniel, and Ella. Joseph told you that (if Sophia is an egoist then Daniel is an altruist) if and only if Aria is an altr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 690, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]], [\"telling-truth\", 2]], [\"telling-truth\", 2], [\"->\", [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"telling-truth\",... | {"split": "train", "index": 18468} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Jackson, Jack, Mason, Oliver, and Sophia. \"it is not the case that ((Mason is a fool and Sophia is a sage and Jack is a sage and Oliver is a fool) or (Jac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 691, \"statements\": [[\"not\", [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"telling-truth\", 0], [\"telling-truth\", 4]]], [... | {"split": "train", "index": 18469} |
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: Jackson, Sophia, Oliver, Ethan, and Abigail. According to Jackson, \"((Oliver is a sinner) or (Ethan is a sinner if and only if Jackson is a saint)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 692, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"<=>... | {"split": "train", "index": 18470} |
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: Emily, Jack, Luke, Charlotte, and Samuel. Emily told you that Charlotte is a knight. Jack expressed that (Charlotte is a knight or Luke is a knave or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 693, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 0]]], [\... | {"split": "train", "index": 18471} |
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, Michael, Noah, Aria, and Abigail. Emma remarked, \"(it is not the case that (Michael is an altruist and Abigail is an altruist)) and (it ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 694, \"statements\": [[\"and\", [\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"lying\", 2]], [\"telling-truth\", 4], [\"->\", [\"telling-tr... | {"split": "train", "index": 18472} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Oliver, Henry, Michael, Samuel, and Matthew. Oliver told you that (it is not the case that (Samuel is an altruist)) if and only if (it is not t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 695, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"lying\", 3]]], [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"<=>\", [\"tel... | {"split": "train", "index": 18473} |
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, Aria, Aurora, Ella, and Michael. Luke said that Aurora is a villain. As Aria put it, \"((Luke is a villain or Aurora is a hero or Michael is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 696, \"statements\": [[\"lying\", 2], [\"<=>\", [\"or\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 0]]], [\"lying\", 3]],... | {"split": "train", "index": 18474} |
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: Luke, Samuel, Amelia, Harper, and Alexander. In a statement by Luke: \"((Samuel is a fool if and only if Amelia is a fool) and (Harper is a fool and Amelia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 697, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 1]], [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"lying\", 2... | {"split": "train", "index": 18475} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Zoey, Aurora, Evelyn, Samuel, and Matthew. Zoey expressed that ((Zoey is a devil) and (Matthew is a devil) and (Samuel is an angel or Samuel is a devil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 698, \"statements\": [[\"or\", [\"and\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 4... | {"split": "train", "index": 18476} |
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, Abigail, Penelope, Jacob, and Chloe. \"it is not the case that (Penelope is an altruist if and only if (Abigail is an egoist if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 699, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]]]], [\"<=>\", [\"or\", [\"not\", [\"lying\", 3]], [\"lying\", 2]], [\"not\", [\"->\", [\"lying\", 0], [\"lying\... | {"split": "train", "index": 18477} |
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, Lucas, Samuel, David, and Scarlett. \"Scarlett is a saint\" - Matthew. Lucas noted, \"((David is a sinner and Lucas is a saint) and (Lucas i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 700, \"statements\": [[\"not\", [\"lying\", 4]], [\"or\", [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3]... | {"split": "train", "index": 18478} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Matthew, Luke, David, Olivia, and Aria. \"(if (if Olivia is a sage then Luke is a sage) then (Aria is a sage and Aria is a fool)) and Olivia is a sage and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 701, \"statements\": [[\"and\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"telling-truth\", 3], [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]]... | {"split": "train", "index": 18479} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sebastian, Abigail, Riley, Emily, and Elizabeth. Sebastian expressed that if (it is not the case that (Emily is a knight)) then Abigail is a knave. A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 702, \"statements\": [[\"->\", [\"not\", [\"not\", [\"lying\", 3]]], [\"lying\", 1]], [\"telling-truth\", 3], [\"not\", [\"or\", [\"lying\", 4], [\"->\", [\"lying\", 0], [\"telling-truth\", 1]]]], [\"lying\", 2], [\"telling-tr... | {"split": "train", "index": 18480} |
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: Riley, Scarlett, Alexander, Daniel, and Lily. \"(if (Riley is a sage if and only if Alexander is a sage) then Daniel is a fool) or ((Lily is a fool and Ril... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 703, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"lying\", 3]], [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0], [\"lying\", 2]], [\"<=>\", [\"lying\", 1], [\"lyin... | {"split": "train", "index": 18481} |
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, Joseph, Victoria, Jacob, and Ethan. In David's words: \"((Joseph is a fool if and only if David is a sage) and (Jacob is a fool)) if and only if ((E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 704, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"telling-t... | {"split": "train", "index": 18482} |
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, Riley, Lucas, James, and Harper. \"(James is a devil and (Sophia is an angel or Riley is an angel or James is an angel or Harper is a devil)) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 705, \"statements\": [[\"or\", [\"and\", [\"lying\", 3], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 4]]], [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 2], [\"or\", [\"... | {"split": "train", "index": 18483} |
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: Michael, Harper, Ella, Jacob, and Amelia. As Michael put it, \"if ((Jacob is a sage) and (Amelia is a sage and Ella is a fool) and (if Jacob is a fool then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 706, \"statements\": [[\"->\", [\"and\", [\"not\", [\"lying\", 3]], [\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"->\... | {"split": "train", "index": 18484} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Penelope, Benjamin, Avery, and Ella. \"((if Ella is a knave then Penelope is a knight) or (Benjamin is a knave) or (Ella is a knave if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 707, \"statements\": [[\"and\", [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"lying\", 1]]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"not\", [... | {"split": "train", "index": 18485} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Abigail, Oliver, Noah, Evelyn, and David. In Abigail's words: \"((Evelyn is a devil and Evelyn is an angel) or Oliver is an angel or (if David is a dev... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 708, \"statements\": [[\"or\", [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3]], [\"telling-truth\", 1], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"telling-truth\", 1], [\"not\", [\"and\", [\"telling-truth... | {"split": "train", "index": 18486} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Penelope, Ava, Aiden, Sophia, and William. In a statement by Penelope: \"Penelope is a sage\". \"William is a sage\" - Ava. Aiden was heard saying, \"(it i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 709, \"statements\": [[\"telling-truth\", 0], [\"telling-truth\", 4], [\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 1]]], [\"lying\", 0]], [\"<=>\", [\"<=>\", [\"or\",... | {"split": "train", "index": 18487} |
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: Zoey, Riley, Amelia, Benjamin, and Daniel. \"if (Benjamin is a pioneer or (Zoey is a laggard)) then (if (Riley is a pioneer if and only if Benj... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 710, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 1]]]], [\"and\", [\"and\", [... | {"split": "train", "index": 18488} |
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, Victoria, Evelyn, Ava, and Benjamin. Joseph told you that ((Benjamin is a hero) if and only if (Evelyn is a hero)) and ((Evelyn is a villain ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 711, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"lying\", 4]], [\"not\", [\"lying\", 2]]], [\"or\", [\"and\", [\"lying\", 2], [\"lying\", 1]], [\"lying\", 4], [\"and\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"tellin... | {"split": "train", "index": 18489} |
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: Alexander, Henry, Ethan, William, and Aurora. Alexander stated, \"Henry is a knave\". Henry said, \"it is not the case that ((Aurora is a knave or Wi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 712, \"statements\": [[\"lying\", 1], [\"not\", [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 3], [\"telling-tr... | {"split": "train", "index": 18490} |
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: Mia, Daniel, Elizabeth, James, and Luke. Mia said, \"it is not the case that (James is an egoist if and only if (James is an egoist or Elizabet... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 713, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 3], [\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 0]]]], [\"and\", [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"telling-trut... | {"split": "train", "index": 18491} |
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, Sophia, Victoria, Henry, and Benjamin. Abigail told you that Abigail is an altruist and Henry is an altruist. Sophia was heard saying,... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 714, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"not\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\",... | {"split": "train", "index": 18492} |
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: Aurora, Olivia, Harper, Owen, and Ava. According to Aurora, \"((Harper is a hero or Ava is a hero or Owen is a hero or Olivia is a hero) and (if Auro... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 715, \"statements\": [[\"and\", [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"telling-truth\",... | {"split": "train", "index": 18493} |
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: Michael, Aria, Penelope, Luke, and Lily. Michael said, \"it is not the case that (if (Aria is a devil and Michael is an angel and Penelope is a devil) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 716, \"statements\": [[\"not\", [\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]]]], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]... | {"split": "train", "index": 18494} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Penelope, Sebastian, Oliver, Mason, and Abigail. In Penelope's words: \"(it is not the case that (Mason is a villain)) if and only if Oliver is a her... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 717, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"telling-truth\", 2]], [\"or\", [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2... | {"split": "train", "index": 18495} |
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: Ava, Daniel, Michael, Penelope, and Ethan. In a statement by Ava: \"Ethan is a hero\". In a statement by Daniel: \"(it is not the case that (if Ava i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 718, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"not\", [\"->\", [\"lying\", 0], [\"lying\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"telling-truth\", 0]]]], [\"telling-truth\", 0], ... | {"split": "train", "index": 18496} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Amelia, Penelope, James, Noah, and Henry. Amelia said that Noah is a laggard. Penelope stated, \"it is not the case that (if (Noah is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 719, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"<=>\", [\"lying\", 3], [\"lying\", 0]]]], [\"->\", [\"and\", [\"or\", [\"lying\", 4], [\"telling... | {"split": "train", "index": 18497} |
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, Michael, Amelia, Scarlett, and Henry. Sophia said, \"Michael is a saint.\" Michael was heard saying, \"Scarlett is a saint if and only if ((S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 720, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 3], [\"and\", [\"or\", [\"lying\", 0], [\"telling-truth\", 3]], [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"t... | {"split": "train", "index": 18498} |
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: Henry, Samuel, Chloe, Emily, and Ethan. \"Emily is a knave\" - Henry. \"((Samuel is a knight if and only if Emily is a knight) and Henry is a knight)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 721, \"statements\": [[\"lying\", 3], [\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"telling-truth\", 0]], [\"and\", [\"and\", [\"lying\", 0], [\"lying\", 3], [\"telling-truth\", 4], [\"tellin... | {"split": "train", "index": 18499} |
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