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 knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Riley, Sophia, Elizabeth, Grace, and Oliver. As Riley put it, \"(Oliver is a knave) or (if Grace is a knave then Grace is a knight)\". Sophia told yo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 732, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 1]], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 0]... | {"split": "train", "index": 7400} |
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: Benjamin, Amelia, David, Avery, and Emily. Benjamin asserted: \"if (David is an egoist or Amelia is an altruist) then (if Emily is an altruist ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 733, \"statements\": [[\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"->\", [\"lying\", 4], [... | {"split": "train", "index": 7401} |
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: Victoria, Luke, Olivia, Benjamin, and Michael. \"(Olivia is an egoist) and (Luke is an egoist if and only if Benjamin is an egoist),\" Victoria... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 734, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 1], [\"lying\", 3]]], [\"or\", [\"and\", [\"lying\", 0], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"... | {"split": "train", "index": 7402} |
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: Scarlett, Avery, David, Isabella, and Aiden. Scarlett said that (if Aiden is a saint then Isabella is a saint) if and only if (if Avery is a saint th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 735, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"or\", [\"<=>... | {"split": "train", "index": 7403} |
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, Lucas, Ethan, Sophia, and Mason. Michael noted, \"(Sophia is a laggard or Mason is a laggard) if and only if (if Mason is a pioneer th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 736, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"lying\", 2], [\"tel... | {"split": "train", "index": 7404} |
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, Jacob, Aurora, Grace, and Sebastian. Avery remarked, \"(if Grace is a saint then Aurora is a saint) if and only if Aurora is a sinner\". Jacob... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 737, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"lying\", 2]], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1]], [\"lying\", 4]], [\"telling-truth\", 4], [\"not\", [\"or\",... | {"split": "train", "index": 7405} |
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, Harper, Alexander, William, and Mason. Jackson asserted: \"Alexander is a sage\". Harper commented, \"(Alexander is a fool if and only if Mason is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 738, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"lying\", 3], [\"not\", [\"or\", [\"telling-truth\", 2], [... | {"split": "train", "index": 7406} |
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, Lucas, Charlotte, Sofia, and Chloe. According to Lily, \"(Lily is an angel or Chloe is a devil) if and only if (if Sofia is an angel then Sofia i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 739, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"telling-truth\", 1], [\"or\", [\"->\", [\"ly... | {"split": "train", "index": 7407} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mia, Noah, Samuel, Ava, and Grace. As Mia put it, \"(Ava is a knave or Noah is a knight) if and only if (Noah is a knave or Grace is a knight)\". Noa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 740, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 3]], [\"and\", [\"telling-tru... | {"split": "train", "index": 7408} |
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: Emily, Benjamin, Logan, William, and Sebastian. Emily expressed that if (if Emily is a saint then Sebastian is a saint) then (Benjamin is a saint and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 741, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth... | {"split": "train", "index": 7409} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Grace, Ethan, Oliver, Lily, and Aria. Grace stated, \"Oliver is a saint if and only if (Oliver is a saint if and only if Lily is a saint)\". \"(Aria ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 742, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"->\", [\"n... | {"split": "train", "index": 7410} |
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, Jackson, Joseph, Victoria, and Jack. David commented, \"(if Jackson is a devil then Victoria is a devil) and (Victoria is an angel and Joseph is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 743, \"statements\": [[\"and\", [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"and\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"telling-truth\", 2], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"telling-truth\", 2... | {"split": "train", "index": 7411} |
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, Sofia, Lucas, Zoey, and Liam. \"if (Liam is a pioneer and Lucas is a pioneer) then (Zoey is a laggard or Lucas is a pioneer),\" Victo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 744, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"lying\", 4], [\"->\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"telli... | {"split": "train", "index": 7412} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Jack, Isabella, Benjamin, Liam, and Logan. Jack said, \"if Isabella is a villain then (Jack is a hero or Logan is a villain).\" In Isabella's words: ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 745, \"statements\": [[\"->\", [\"lying\", 1], [\"or\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"->\", [\"telling-truth\", 3], [\"not\", [\"lying\", 0]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying\", 4... | {"split": "train", "index": 7413} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Jack, Sebastian, Emily, Noah, and Grace. Jack said, \"it is not the case that (if Sebastian is a laggard then Sebastian is a pioneer).\" Sebast... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 746, \"statements\": [[\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"lying\", 4], [\"and\... | {"split": "train", "index": 7414} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Sofia, Victoria, Ella, Avery, and Benjamin. Sofia asserted: \"(Ella is a pioneer and Victoria is a pioneer) and (Ella is a pioneer or Sofia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 747, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"telling-truth\", 2], [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling... | {"split": "train", "index": 7415} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Alexander, Zoey, David, Oliver, and Jacob. \"(if Jacob is a hero then Alexander is a hero) and (Zoey is a hero and Jacob is a villain),\" Alexander m... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 748, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"lying\", 0], [\"t... | {"split": "train", "index": 7416} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Liam, Owen, Mason, Grace, and Zoey. Liam said that it is not the case that (Owen is a fool). \"it is not the case that (Mason is a sage and Grace is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 749, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"lying\", 1], [\"lying\", 4]]], [\"not\", [\"<=>\", [\"telling-tru... | {"split": "train", "index": 7417} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Sofia, Scarlett, Riley, Penelope, and Ava. Sofia noted, \"(if Scarlett is an angel then Penelope is a devil) or (if Riley is a devil then Penelope is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 750, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"lying\", 4]], [\"lying\", 2]], [\"and\", [\"lying\", 0], [\"and\", [\"t... | {"split": "train", "index": 7418} |
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, Lucas, Lily, Michael, and Sebastian. In a statement by Olivia: \"(if Sebastian is a sage then Sebastian is a fool) and (Olivia is a sage and Lucas ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 751, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 1]]... | {"split": "train", "index": 7419} |
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, James, Jacob, Noah, and Olivia. David expressed that (Jacob is an egoist) if and only if (James is an altruist or James is an egoist). J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 752, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"<=>\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"or\", [\"not\", [\"... | {"split": "train", "index": 7420} |
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, Sebastian, Elizabeth, Avery, and Harper. In James's words: \"it is not the case that (Harper is a sinner or Elizabeth is a saint)\". Sebastian... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 753, \"statements\": [[\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"lying\", 0], [\"lying\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"telling-truth\", 1], [\"->\", [\"telli... | {"split": "train", "index": 7421} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Ella, Oliver, Abigail, Mason, and James. Ella said, \"if (if Abigail is an angel then Mason is an angel) then Oliver is a devil.\" In Oliver's words: \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 754, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"lying\", 1]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"lying\", 1], [\"or\", [\"and\", [\"telling-truth\", 0], ... | {"split": "train", "index": 7422} |
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, Ava, Chloe, and Henry. In Emily's words: \"if (Charlotte is a villain if and only if Ava is a villain) then (Charlotte is a hero if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 755, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 1... | {"split": "train", "index": 7423} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Harper, Chloe, Aurora, Amelia, and Jackson. Harper expressed that Jackson is an egoist. According to Chloe, \"it is not the case that (Harper i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 756, \"statements\": [[\"lying\", 4], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"<=>\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"lying\", 4... | {"split": "train", "index": 7424} |
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: Isabella, Victoria, Owen, Charlotte, and Abigail. Isabella remarked, \"it is not the case that (if Owen is a villain then Victoria is a hero)\". Vict... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 757, \"statements\": [[\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"lying\", 0], [\"t... | {"split": "train", "index": 7425} |
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: Olivia, Riley, Jacob, Harper, and Mason. \"(Harper is a devil if and only if Riley is an angel) and Jacob is a devil,\" Olivia declared. Riley commente... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 758, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"lying\", 2]], [\"->\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"not\", [\"lying\", 4]], [\"o... | {"split": "train", "index": 7426} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: William, Henry, Jacob, Logan, and Emily. \"(Henry is a sinner) if and only if (Jacob is a sinner),\" William declared. According to Henry, \"(Emily i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 759, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0]], [\"and\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"telling-... | {"split": "train", "index": 7427} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Chloe, Sofia, Michael, Ethan, and Scarlett. In a statement by Chloe: \"it is not the case that (Sofia is an egoist if and only if Michael is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 760, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"telling-truth\", 2], [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]]],... | {"split": "train", "index": 7428} |
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, Aria, Evelyn, Jacob, and William. \"(Evelyn is a sage and Aria is a fool) and (William is a fool or Aria is a fool),\" Zoey declared. Aria said that ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 761, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1]], [\"or\", [\"lying\", 4], [\"lying\", 1]]], [\"or\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"or\"... | {"split": "train", "index": 7429} |
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: Jack, Lily, Michael, Noah, and Chloe. In a statement by Jack: \"if (Noah is an egoist if and only if Chloe is an altruist) then (Noah is an alt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 762, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]], [\"->\", [\"telling-tru... | {"split": "train", "index": 7430} |
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, Chloe, William, David, and Oliver. Owen told you that Chloe is an egoist. \"(if Owen is an egoist then William is an altruist) or (Owen i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 763, \"statements\": [[\"lying\", 1], [\"or\", [\"->\", [\"lying\", 0], [\"telling-truth\", 2]], [\"not\", [\"lying\", 0]]], [\"or\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"lying... | {"split": "train", "index": 7431} |
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, Avery, Mason, Luke, and Benjamin. In a statement by Isabella: \"if (if Avery is an altruist then Luke is an altruist) then (Mason is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 764, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"not\", [\"lying\", 3... | {"split": "train", "index": 7432} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Michael, Aurora, Emma, Ethan, and Matthew. \"(Aurora is a saint or Aurora is a sinner) and (Emma is a sinner and Emma is a saint),\" Michael claimed.... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 765, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1]], [\"and\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4], [\"tel... | {"split": "train", "index": 7433} |
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: Alexander, William, Jackson, Sofia, and Matthew. Alexander was heard saying, \"(if Jackson is a pioneer then Sofia is a laggard) or William is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 766, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"telling-truth\", 1]], [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], ... | {"split": "train", "index": 7434} |
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, Sophia, Oliver, Grace, and Michael. \"(Sophia is a pioneer and Grace is a laggard) or (Sophia is a pioneer and Michael is a laggard),... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 767, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"and\", [\"lying\", 2], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"and\", [\"-... | {"split": "train", "index": 7435} |
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, Aurora, Isabella, Harper, and Charlotte. \"Harper is a sage,\" David claimed. \"it is not the case that (Charlotte is a sage if and only if Isabella... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 768, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"lying\", 4], [\"not\", [\"and\", [\"telling-tr... | {"split": "train", "index": 7436} |
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, Ethan, Daniel, Penelope, and Oliver. Olivia stated, \"it is not the case that (if Ethan is a fool then Olivia is a sage)\". Ethan asserted: \"(if O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 769, \"statements\": [[\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"not\", [\"lying\", 3]]], [\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", ... | {"split": "train", "index": 7437} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Avery, Mason, Sophia, Michael, and Harper. \"Harper is an altruist if and only if (Harper is an altruist and Mason is an altruist),\" Avery dec... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 770, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"or\", [\"not\", [\"lying\", 0]], [\"or\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"->\", [\"and\", [\"l... | {"split": "train", "index": 7438} |
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: Benjamin, Matthew, Emma, Olivia, and Owen. \"it is not the case that (Matthew is a saint if and only if Owen is a saint)\" - Benjamin. Matthew assert... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 771, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"->\", [\"and\", [\... | {"split": "train", "index": 7439} |
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, Penelope, Scarlett, Michael, and Lucas. In a statement by Joseph: \"(if Lucas is a sinner then Joseph is a saint) and Michael is a sinner\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 772, \"statements\": [[\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"lying\", 3]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]], [\"lying\", 3]], [\"->\", [\"and\", [\"lying\", 1], [\"lying\", 4]]... | {"split": "train", "index": 7440} |
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: Amelia, Olivia, Isabella, Scarlett, and Daniel. Amelia asserted: \"(Scarlett is a sinner if and only if Olivia is a saint) or (if Isabella is a sinne... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 773, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"telli... | {"split": "train", "index": 7441} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Lucas, Sophia, Harper, Benjamin, and Samuel. \"(Sophia is a sinner if and only if Samuel is a saint) and Benjamin is a saint,\" Lucas claimed. Sophia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 774, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"telling-truth\", 3]], [\"->\", [\"lying\", 3], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"telling-tru... | {"split": "train", "index": 7442} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Lily, Emily, Charlotte, Daniel, and Michael. \"(Daniel is a saint if and only if Lily is a saint) if and only if (Charlotte is a saint or Michael is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 775, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"telling-truth\", 0], [\"telling-truth\", 1], [\"and\", [\"not\", [\"lying\", 1]],... | {"split": "train", "index": 7443} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Grace, Charlotte, Daniel, Luke, and Harper. Grace stated, \"if Harper is a saint then Charlotte is a sinner\". Charlotte remarked, \"Luke is a saint\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 776, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"telling-truth\", 3], [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"and\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"and\", [\"not\... | {"split": "train", "index": 7444} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Amelia, Sophia, Abigail, Oliver, and Aria. According to Amelia, \"if Oliver is a hero then (if Sophia is a hero then Amelia is a hero)\". According t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 777, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"lying\", 0], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\"... | {"split": "train", "index": 7445} |
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, Noah, Victoria, James, and Daniel. \"if (Evelyn is a hero if and only if James is a hero) then (Victoria is a hero if and only if Daniel is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 778, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"<=>\", [\"and\", [\"... | {"split": "train", "index": 7446} |
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, David, Alexander, Zoey, and Sofia. \"(Sofia is a pioneer) and (Alexander is a laggard),\" Daniel mentioned. \"if (Alexander is a laggar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 779, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"lying\", 4]], [\"telling-truth\", 0], [\"or\", [\"<=>\", [\"lying\",... | {"split": "train", "index": 7447} |
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, Ava, Isabella, Mia, and Aiden. In a statement by Henry: \"Aiden is a knight\". In Ava's words: \"it is not the case that (Henry is a knave or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 780, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"telling-truth\", 2], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"te... | {"split": "train", "index": 7448} |
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, Luke, Emma, Mason, and Noah. Sophia was heard saying, \"Luke is a knight\". Luke expressed that if (Mason is a knight or Noah is a knight) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 781, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 0]], [... | {"split": "train", "index": 7449} |
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, Michael, David, Ella, and Noah. Sofia remarked, \"it is not the case that (if Ella is an altruist then David is an egoist)\". Michael co... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 782, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\... | {"split": "train", "index": 7450} |
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: Jack, David, Alexander, Ella, and Matthew. In Jack's words: \"Ella is an altruist\". David was heard saying, \"(Ella is an altruist and Ella is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 783, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"->\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"or\", [\... | {"split": "train", "index": 7451} |
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, Penelope, Lily, Abigail, and Aurora. Evelyn was heard saying, \"Lily is a sage or Penelope is a fool\". Penelope asserted: \"Evelyn is a sage and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 784, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"lying\", 1]], [\"and\", [\"telling-truth\", 0], [\"or\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"telling-truth\", 0], [\"and\", [\"lying\", 0], [\"->\", [\"telling... | {"split": "train", "index": 7452} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Evelyn, Elizabeth, Samuel, Ava, and Sophia. Evelyn told you that it is not the case that (Sophia is a pioneer if and only if Ava is a pioneer).... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 785, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"lying\", 1], [\"telling-truth\", 3], [... | {"split": "train", "index": 7453} |
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, Jacob, Daniel, Jackson, and Matthew. In Zoey's words: \"(Matthew is a sage and Zoey is a sage) and (Jacob is a sage or Zoey is a sage)\". Jacob said,... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 786, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"->\", [\"lying\", 0], [\"->\", [\"telling-truth\", 1], [\"telling-truth\"... | {"split": "train", "index": 7454} |
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, Sofia, Henry, Mia, and Joseph. \"(Joseph is a fool) if and only if (Sofia is a sage or Mia is a fool),\" Luke declared. In Sofia's words: \"(Mia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 787, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 3]... | {"split": "train", "index": 7455} |
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, Abigail, Sophia, Jacob, and Luke. Sebastian asserted: \"it is not the case that (Abigail is an angel if and only if Luke is a devil)\". \"(S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 788, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0]], [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"<=>\", [\"lying\", 0], [\"lyi... | {"split": "train", "index": 7456} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Aria, Luke, Evelyn, Benjamin, and Michael. Aria said, \"(Michael is a laggard) if and only if (Benjamin is a laggard).\" Luke said, \"if (Benja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 789, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"not\", [\"or\", [\... | {"split": "train", "index": 7457} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jackson, Owen, Aiden, Elizabeth, and Ella. As Jackson put it, \"Elizabeth is a knight\". Owen expressed that Jackson is a knight or (Jackson is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 790, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"telling-truth\", 0], [\"not\", [\"lying\", 0]]], [\"and\", [\"->\", [\"lying\", 0], [\"lying\", 1]], [\"->\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"not\", [\"<=>... | {"split": "train", "index": 7458} |
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, Grace, Emily, Sebastian, and Mason. In Matthew's words: \"(Grace is an egoist if and only if Emily is an egoist) or (Mason is an egois... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 791, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 0]], [\"not\", [\"telling-truth\", 0]]], [\"lying\",... | {"split": "train", "index": 7459} |
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, Logan, Mia, Grace, and Aiden. Riley stated, \"Grace is a sage\". In a statement by Logan: \"(Grace is a fool if and only if Mia is a fool) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 792, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"telling-truth\", 0]], [\"->\", [\"lying\", 0], [\"not\", [\"lying\", 4]]], [\"telling-truth\", 4], [\"or\", [\"or\", [\"lyin... | {"split": "train", "index": 7460} |
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, Isabella, Alexander, Ava, and Owen. \"Owen is a hero,\" James mentioned. \"(if Owen is a hero then Isabella is a hero) if and only if (James i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 793, \"statements\": [[\"not\", [\"lying\", 4]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"and\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]... | {"split": "train", "index": 7461} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Sofia, Penelope, Aiden, Matthew, and Benjamin. As Sofia put it, \"if (Matthew is a pioneer) then (Benjamin is a pioneer and Aiden is a laggard)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 794, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"and\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"not\", [\"not\", ... | {"split": "train", "index": 7462} |
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, Olivia, Lucas, Jacob, and Ella. Daniel told you that if (Jacob is a pioneer) then Daniel is a pioneer. \"it is not the case that (Danie... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 795, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"telling-truth\", 0]], [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"->\", [\"lying\", 4... | {"split": "train", "index": 7463} |
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, Aiden, Mason, Sebastian, and Joseph. \"if (Aiden is a laggard if and only if Zoey is a pioneer) then (Zoey is a laggard),\" Zoey claimed.... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 796, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"and\", [\"or\... | {"split": "train", "index": 7464} |
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: Grace, Charlotte, Luke, Victoria, and Ella. Grace told you that it is not the case that (Victoria is a hero or Ella is a hero). \"if (Victoria is a h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 797, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"or\", [\"lyin... | {"split": "train", "index": 7465} |
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: Ella, Olivia, Emily, James, and Michael. Ella noted, \"if (James is a sinner and Olivia is a saint) then (Emily is a sinner)\". Olivia was heard sayi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 798, \"statements\": [[\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 0... | {"split": "train", "index": 7466} |
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, Michael, Mason, Evelyn, and Sofia. Isabella said, \"Evelyn is an altruist or (Isabella is an egoist).\" Michael noted, \"(Sofia is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 799, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"lying\", 4]]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"t... | {"split": "train", "index": 7467} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Evelyn, Abigail, Alexander, Owen, and Emily. \"(Abigail is a laggard or Owen is a pioneer) and (Emily is a pioneer and Owen is a pioneer)\" - E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 800, \"statements\": [[\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"telling-truth... | {"split": "train", "index": 7468} |
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, Harper, William, Benjamin, and Michael. Samuel expressed that (Harper is an egoist if and only if Michael is an altruist) and (Michael ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 801, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"and\", [\"telling-truth\", 0], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]], [\"lying\", 3]... | {"split": "train", "index": 7469} |
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, Matthew, Owen, Chloe, and Aiden. Harper commented, \"(Matthew is a sinner if and only if Harper is a saint) or (Owen is a sinner)\". \"if (Ma... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 802, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-tru... | {"split": "train", "index": 7470} |
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, Jack, Oliver, Charlotte, and Henry. Isabella told you that it is not the case that (Jack is an altruist and Oliver is an altruist). J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 803, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"<=>\", [\"lying\", 4], [\"not\", [\"lying\", 2]]], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"not\", [\"telling-tru... | {"split": "train", "index": 7471} |
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, Noah, Isabella, Logan, and Jacob. Henry expressed that (if Henry is a knight then Noah is a knight) or (if Noah is a knave then Logan is a kna... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 804, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"->\", [\"lying\", 1], [\"lying\", 3]]], [\"or\", [\"and\", [\"lying\", 0], [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"tellin... | {"split": "train", "index": 7472} |
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, Benjamin, Oliver, Ella, and Evelyn. Sebastian noted, \"(Evelyn is a knave or Benjamin is a knave) if and only if Ella is a knight\". \"Ell... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 805, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 1]], [\"telling-truth\", 3]], [\"telling-truth\", 3], [\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 0]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]], ... | {"split": "train", "index": 7473} |
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: Liam, James, Jacob, Joseph, and Penelope. Liam told you that it is not the case that (James is a villain if and only if Jacob is a villain). James no... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 806, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]]], [\"or\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"tell... | {"split": "train", "index": 7474} |
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: Charlotte, Benjamin, Emily, Riley, and Noah. Charlotte was heard saying, \"if (Benjamin is an angel or Noah is an angel) then (Benjamin is an angel or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 807, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"->\", [\"not\... | {"split": "train", "index": 7475} |
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, David, Owen, Ava, and Emma. \"(if David is an altruist then Jacob is an altruist) if and only if (Emma is an egoist if and only if Ava i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 808, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"tel... | {"split": "train", "index": 7476} |
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: Benjamin, Michael, Henry, Jack, and Daniel. According to Benjamin, \"it is not the case that (Daniel is an altruist or Henry is an egoist)\". A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 809, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 4]], [\"->\", [\"<=>\... | {"split": "train", "index": 7477} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Victoria, Emma, Samuel, Ava, and Olivia. \"Samuel is a devil,\" Victoria declared. In Emma's words: \"Victoria is an angel\". Samuel noted, \"Emma is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 810, \"statements\": [[\"lying\", 2], [\"telling-truth\", 0], [\"<=>\", [\"lying\", 1], [\"not\", [\"lying\", 1]]], [\"not\", [\"not\", [\"lying\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 0]], [\"not\", [\... | {"split": "train", "index": 7478} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Emma, Alexander, Logan, Grace, and Charlotte. Emma was heard saying, \"(if Logan is a saint then Grace is a sinner) and (if Charlotte is a sinner the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 811, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 0]], [\"->\", [\"telling-truth\", 1], ... | {"split": "train", "index": 7479} |
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, Victoria, Matthew, Evelyn, and Olivia. Henry told you that (Matthew is a laggard and Evelyn is a pioneer) if and only if (Evelyn is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 812, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"... | {"split": "train", "index": 7480} |
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: Joseph, Evelyn, Noah, James, and Aurora. Joseph said, \"Aurora is a devil if and only if (if Evelyn is an angel then Joseph is an angel).\" Evelyn expr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 813, \"statements\": [[\"<=>\", [\"lying\", 4], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"and\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"and\", [\"not\", [\"telling-tr... | {"split": "train", "index": 7481} |
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: Mason, Riley, Isabella, Aria, and Sophia. As Mason put it, \"Isabella is a fool and (Riley is a sage or Isabella is a sage)\". \"(Isabella is a fool if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 814, \"statements\": [[\"and\", [\"lying\", 2], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"lying\", 2]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"<=... | {"split": "train", "index": 7482} |
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, Michael, David, Ava, and Sofia. Aiden commented, \"(Ava is a knave if and only if Sofia is a knight) and Sofia is a knight\". Michael was hear... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 815, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 4]], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 0]], [\"a... | {"split": "train", "index": 7483} |
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: Olivia, Riley, Chloe, James, and Ethan. According to Olivia, \"Chloe is an angel\". Riley noted, \"it is not the case that (if Olivia is a devil then E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 816, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"->\", [\"lying\", 0], [\"lying\", 4]]], [\"telling-truth\", 1], [\"lying\", 4], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"lying... | {"split": "train", "index": 7484} |
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, Samuel, Owen, James, and Aiden. Zoey was heard saying, \"James is a laggard and (Aiden is a laggard)\". Samuel was heard saying, \"James ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 817, \"statements\": [[\"and\", [\"lying\", 3], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"telling-truth\", 3]], [\"not\", [\"<=>\", [\"lying\", 1], [\"lying\", 0]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling... | {"split": "train", "index": 7485} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Mia, James, Amelia, Alexander, and Samuel. Mia was heard saying, \"Amelia is a fool and (Samuel is a sage)\". \"it is not the case that (Mia is a fool or A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 818, \"statements\": [[\"and\", [\"lying\", 2], [\"not\", [\"lying\", 4]]], [\"not\", [\"or\", [\"lying\", 0], [\"lying\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 0]], [\"lying\", 1]], [\"lying\", 1], [\"an... | {"split": "train", "index": 7486} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Elizabeth, Matthew, Alexander, Daniel, and Harper. Elizabeth told you that if (Matthew is an egoist) then Alexander is an altruist. In a statem... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 819, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 2]], [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"lying\", 3], [\"lying\", 0]]], [\"<=>\", [\"->\", [\"telling-truth\",... | {"split": "train", "index": 7487} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Oliver, Joseph, Noah, Benjamin, and Avery. \"if Joseph is an angel then (Avery is an angel and Joseph is a devil),\" Oliver declared. Joseph remarked, ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 820, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"telling-truth\", 4], [\"telling-truth\", 4], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\... | {"split": "train", "index": 7488} |
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, Jack, Jacob, Amelia, and Avery. Luke noted, \"if (Avery is a hero) then (Amelia is a villain and Jacob is a hero)\". According to Jack, \"(Amel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 821, \"statements\": [[\"->\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 2]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"... | {"split": "train", "index": 7489} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Chloe, Joseph, Alexander, Abigail, and Michael. In Chloe's words: \"if Michael is an altruist then Chloe is an altruist\". Joseph told you that... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 822, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"or\", [\"or\", [\"lying\", 0], [\"lying\", 4]], [\"lying\", 2]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"lying\"... | {"split": "train", "index": 7490} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Sebastian, Benjamin, Mason, Lucas, and Jackson. Sebastian expressed that Benjamin is an egoist if and only if (Benjamin is an altruist if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 823, \"statements\": [[\"<=>\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 0]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"<=>\", [\"... | {"split": "train", "index": 7491} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Michael, William, Charlotte, Ella, and David. As Michael put it, \"(if David is a knave then Charlotte is a knave) and (William is a knave and Ella i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 824, \"statements\": [[\"and\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"and\", [\"lying\", 1], [\"lying\", 3]]], [\"telling-truth\", 4], [\"and\", [\"lying\", 3], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]],... | {"split": "train", "index": 7492} |
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: Mason, Jackson, Ethan, Isabella, and Olivia. Mason said, \"(Ethan is a sage) if and only if (Jackson is a fool).\" \"it is not the case that (Jackson is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 825, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1]], [\"<=>\", ... | {"split": "train", "index": 7493} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Oliver, Aiden, Ava, Alexander, and Chloe. Oliver commented, \"Aiden is a devil and Oliver is an angel\". Aiden told you that it is not the case that (O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 826, \"statements\": [[\"and\", [\"lying\", 1], [\"telling-truth\", 0]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"and\", [\"lying\", 1], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"telling-tr... | {"split": "train", "index": 7494} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Luke, Oliver, Mia, Emma, and Lily. \"if (Mia is a pioneer or Oliver is a laggard) then Mia is a pioneer,\" Luke declared. Oliver noted, \"it is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 827, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1]], [\"telling-truth\", 2]], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"<=>\", [\"t... | {"split": "train", "index": 7495} |
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, Lily, Avery, Penelope, and Amelia. \"if (Avery is a villain or Avery is a hero) then Lily is a hero,\" Lucas claimed. Lily asserted: \"(Avery ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 828, \"statements\": [[\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2]], [\"telling-truth\", 1]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"telling-truth\", 1]], [\"<=>\", [\"->\", [\"lying\... | {"split": "train", "index": 7496} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Emma, Noah, Oliver, James, and Victoria. Emma asserted: \"James is a sinner\". \"if (Oliver is a sinner or James is a sinner) then (Victoria is a sin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 829, \"statements\": [[\"lying\", 3], [\"->\", [\"or\", [\"lying\", 2], [\"lying\", 3]], [\"<=>\", [\"lying\", 4], [\"lying\", 0]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"telling-truth\", 0], [... | {"split": "train", "index": 7497} |
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: Jack, Noah, Penelope, Elizabeth, and Victoria. Jack told you that (Elizabeth is a fool and Noah is a fool) or (Penelope is a fool). \"Jack is a sage and (J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 830, \"statements\": [[\"or\", [\"and\", [\"lying\", 3], [\"lying\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 0]]], [\"telling-truth\", 0], [\"lying\", 0], [\"not... | {"split": "train", "index": 7498} |
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, Benjamin, Jacob, Emily, and Charlotte. Joseph was heard saying, \"Emily is a saint\". \"(Charlotte is a sinner and Joseph is a saint) if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 831, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"not\", [\"lying\", 4]]], [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 3]], \"solution\": [false, fals... | {"split": "train", "index": 7499} |
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