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: Oliver, Daniel, Jackson, Henry, and Sofia. Oliver said that Jackson is a knave. In Daniel's words: \"Oliver is a knave\". Jackson told you that if (J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 710, \"statements\": [[\"lying\", 2], [\"lying\", 0], [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 4]]], [\"or... | {"split": "train", "index": 9600} |
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, Oliver, Victoria, Alexander, and Owen. According to Isabella, \"Alexander is a villain\". Oliver remarked, \"(if Victoria is a hero then Al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 711, \"statements\": [[\"lying\", 3], [\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"telling-t... | {"split": "train", "index": 9601} |
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: Noah, Oliver, Aria, Emma, and Aurora. In Noah's words: \"it is not the case that (Oliver is an altruist or Emma is an egoist)\". Oliver comment... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 712, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"and\", [\"lying\", 2], [\"lying\", 0], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"l... | {"split": "train", "index": 9602} |
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: Elizabeth, Matthew, Olivia, Aria, and Harper. Elizabeth commented, \"if (Aria is a hero) then (Matthew is a villain or Harper is a hero)\". Matthew r... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 713, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"and\", [\"telling-truth\", 4], [\"and\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"and\", [\"telling-truth\", 1... | {"split": "train", "index": 9603} |
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, Ella, Noah, Sofia, and Jacob. In a statement by Avery: \"Jacob is an altruist\". Ella said that (Noah is an altruist if and only if Ella... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 714, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"or\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", ... | {"split": "train", "index": 9604} |
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: Michael, David, Ella, Sebastian, and Noah. Michael remarked, \"(Ella is an altruist if and only if Sebastian is an egoist) and Noah is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 715, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"telling-truth\", 4]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"telling-truth... | {"split": "train", "index": 9605} |
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, Joseph, Aiden, Owen, and Henry. \"(if Henry is a sage then Henry is a fool) if and only if Aiden is a sage,\" Chloe claimed. Joseph asserted: \"it i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 716, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"telling-truth\", 2]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"or\", [\"lying\", 3], [\"and\", [\"lying\", 0], [\"lyi... | {"split": "train", "index": 9606} |
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: Sofia, David, Olivia, Lily, and William. Sofia expressed that (David is a villain if and only if Lily is a hero) if and only if (if David is a villai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 717, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"->\", [\"lying\", 1], [\"lying\", 4]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"te... | {"split": "train", "index": 9607} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Abigail, Daniel, Zoey, Logan, and Victoria. According to Abigail, \"if (Logan is a knave if and only if Abigail is a knight) then Victoria is a knave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 718, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"lying\", 4]], [\"lying\", 2], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"lying\", 1]]], [\"->\", [\"->\", [\"telling-truth\", ... | {"split": "train", "index": 9608} |
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, Evelyn, Riley, Aria, and Mason. Zoey stated, \"(Aria is a devil or Mason is a devil) or (if Evelyn is an angel then Aria is a devil)\". According... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 719, \"statements\": [[\"or\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"or\", [\"lying\", 4], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\",... | {"split": "train", "index": 9609} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Logan, Aurora, Ava, Olivia, and Abigail. Logan commented, \"it is not the case that (Ava is a sage)\". \"(Ava is a fool) if and only if Olivia is a sage,\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 720, \"statements\": [[\"not\", [\"not\", [\"lying\", 2]]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 3]], [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\"... | {"split": "train", "index": 9610} |
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, Jacob, Isabella, Liam, and Jack. Michael told you that Liam is a devil and (Isabella is an angel if and only if Liam is an angel). Jacob comme... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 721, \"statements\": [[\"and\", [\"lying\", 3], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"not\", [\"or\", [\"lying\", 3], [\"lying\", 0], [\"te... | {"split": "train", "index": 9611} |
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: Ethan, Liam, Sofia, Michael, and David. Ethan commented, \"if (if Liam is a sage then Michael is a sage) then David is a sage\". \"(Sofia is a sage) or Mic... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 722, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"telling-truth\", 4]], [\"or\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 3], [\"<=>\", [\"lying\", 4], [\"lying\", 0]]], [\"or\",... | {"split": "train", "index": 9612} |
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, Ella, Elizabeth, Zoey, and Victoria. Abigail noted, \"Victoria is an angel if and only if (Elizabeth is a devil if and only if Ella is a devil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 723, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"<=>\", [\"lying\", 2], [\"lying\", 1]]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"telli... | {"split": "train", "index": 9613} |
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: Jacob, Lucas, Noah, Riley, and Sofia. According to Jacob, \"(if Noah is a laggard then Sofia is a laggard) if and only if Riley is a pioneer\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 724, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"telling-truth\", 3]], [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"->\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"->\", [\"and\... | {"split": "train", "index": 9614} |
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: Daniel, Mason, Victoria, Sofia, and Emily. In a statement by Daniel: \"(Victoria is an angel or Emily is a devil or Sofia is a devil) and (Emily is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 725, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"->\", [\"an... | {"split": "train", "index": 9615} |
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: Samuel, Luke, Logan, Sophia, and Benjamin. Samuel commented, \"if (Sophia is a knave) then Benjamin is a knight\". Luke said that Benjamin is a knave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 726, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 4]], [\"lying\", 4], [\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 0]]], [\"<=>\", [\"->\", [\"telling-truth\", 2]... | {"split": "train", "index": 9616} |
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: Benjamin, Riley, Aria, Mia, and Oliver. As Benjamin put it, \"if Mia is an angel then (if Oliver is an angel then Oliver is a devil)\". Riley said that... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 727, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"not\", [\"telling-truth\", 0]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 0]], [\"->\", [\"telling-truth\... | {"split": "train", "index": 9617} |
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, Luke, Mason, Evelyn, and Elizabeth. Sophia stated, \"(Sophia is a fool) or Evelyn is a sage or (if Elizabeth is a sage then Luke is a fool)\". As L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 728, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"lyi... | {"split": "train", "index": 9618} |
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, Henry, Zoey, Harper, and William. In a statement by Sofia: \"Zoey is an angel\". \"Zoey is a devil,\" Henry declared. \"it is not the case that ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 729, \"statements\": [[\"telling-truth\", 2], [\"lying\", 2], [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"and\", [\"lying\", 4], [\"or\", [\"lying\", 1], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"... | {"split": "train", "index": 9619} |
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: Isabella, Victoria, Scarlett, Aurora, and William. Isabella noted, \"(William is a sage or Isabella is a sage or Aurora is a sage) if and only if (Scarlett... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 730, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-tru... | {"split": "train", "index": 9620} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Jacob, Zoey, David, Samuel, and Chloe. In a statement by Jacob: \"it is not the case that (if Zoey is an angel then David is an angel)\". As Zoey put i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 731, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"lying\", 2], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"and\"... | {"split": "train", "index": 9621} |
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, Abigail, Victoria, Ava, and Emily. Isabella said that Victoria is a villain. Abigail told you that (Ava is a hero and Isabella is a villain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 732, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 0], [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 0], [\"lying\", 2], [\"lying\", 4]]],... | {"split": "train", "index": 9622} |
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, Zoey, Daniel, Lily, and Liam. \"(Zoey is a sinner if and only if Lily is a sinner) and (if Zoey is a sinner then Lily is a sinner) and (Liam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 733, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\"not\", [\"or\", [\"lying\", 2], [\"lying\", 0]]], [\"or\", [\"... | {"split": "train", "index": 9623} |
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: Noah, Emma, Emily, James, and Luke. \"it is not the case that (James is an angel if and only if Luke is a devil),\" Noah mentioned. In a statement by E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 734, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"telling-truth\", 2], [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 0], [\"telling-truth\", 0]], [\"telling-truth\", 0], [\"not\",... | {"split": "train", "index": 9624} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Zoey, Olivia, James, Jackson, and Amelia. \"(Olivia is a sinner if and only if James is a saint) or (Jackson is a sinner) or (if James is a sinner th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 735, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], ... | {"split": "train", "index": 9625} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Jack, Samuel, Sofia, Emma, and Aiden. \"Aiden is a saint,\" Jack claimed. As Samuel put it, \"(Samuel is a saint or Jack is a sinner) if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 736, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 0]], [\"telling-truth\", 2]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]], [\"or\", [\"lying\", 0], [\"telling... | {"split": "train", "index": 9626} |
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, David, Michael, Mason, and Avery. In Joseph's words: \"it is not the case that (Avery is a villain or David is a hero or David is a villain)\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 737, \"statements\": [[\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1], [\"lying\", 1]]], [\"not\", [\"telling-truth\", 3]], [\"lying\", 4], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"tell... | {"split": "train", "index": 9627} |
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: Alexander, David, Olivia, Henry, and Zoey. Alexander was heard saying, \"Henry is a devil\". David expressed that it is not the case that (if Olivia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 738, \"statements\": [[\"lying\", 3], [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"->\", [\"lying\", 3], [\"lying\", 0]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"telling-truth\"... | {"split": "train", "index": 9628} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Evelyn, Scarlett, Daniel, Oliver, and Zoey. \"(if Zoey is an altruist then Oliver is an altruist) and (Zoey is an altruist),\" Evelyn declared.... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 739, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"not\", [\"lying\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\... | {"split": "train", "index": 9629} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Owen, Victoria, William, Mason, and Olivia. Owen asserted: \"Mason is a saint if and only if William is a sinner\". Victoria expressed that (Owen is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 740, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"or\", [\"and\", [\"lying\", 0], [\"lying\", 2], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"<=>\", [\"not\"... | {"split": "train", "index": 9630} |
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: Aiden, Noah, Lucas, Mason, and Victoria. \"it is not the case that (if Victoria is a fool then Mason is a fool),\" Aiden mentioned. According to Noah, \"(N... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 741, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"lying\", 2]], [\"lying\", 1], [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 1], [\"or\", [\"ly... | {"split": "train", "index": 9631} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: William, Emma, Abigail, Samuel, and Matthew. William was heard saying, \"it is not the case that (Abigail is a sage and Matthew is a sage)\". According to ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 742, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"telling-truth\", 4], [\"<=>\", [\"->\", [\"... | {"split": "train", "index": 9632} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Emily, Abigail, Emma, Ella, and Sebastian. Emily noted, \"if (Abigail is a devil and Emily is an angel and Sebastian is an angel) then (Abigail is a de... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 743, \"statements\": [[\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 1], [\"lying\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"telling-tru... | {"split": "train", "index": 9633} |
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: Abigail, Oliver, Scarlett, Lucas, and Elizabeth. Abigail said, \"it is not the case that (Oliver is a villain if and only if Lucas is a villain).\" O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 744, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"lying\", 0]], [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"... | {"split": "train", "index": 9634} |
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, Amelia, Grace, Chloe, and Michael. Sophia expressed that (Amelia is a saint if and only if Grace is a sinner) and (Amelia is a sinner) and (G... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 745, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 2], [\"lying\", 1], [\"lying\", 4]]], [\"and\", [\"<=>\", [\"lying\", 2], [\"t... | {"split": "train", "index": 9635} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Jacob, Grace, Jack, Avery, and Logan. According to Jacob, \"(Logan is a hero if and only if Jack is a villain) if and only if (Logan is a hero)\". Gr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 746, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"lying\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-t... | {"split": "train", "index": 9636} |
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: Aria, Ella, Avery, Evelyn, and James. \"Ella is an egoist\" - Aria. Ella remarked, \"(Evelyn is an egoist and Aria is an altruist and Ella is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 747, \"statements\": [[\"lying\", 1], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"->\... | {"split": "train", "index": 9637} |
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, Zoey, Ethan, Lily, and Ava. According to Scarlett, \"it is not the case that (Ethan is an angel or Zoey is a devil)\". \"if (Ava is a devil i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 748, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"lying\", 0]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 0], [\"lyi... | {"split": "train", "index": 9638} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Alexander, David, Sebastian, Luke, and Jack. Alexander noted, \"if (Luke is a fool and Sebastian is a fool and Alexander is a sage) then Luke is a sage\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 749, \"statements\": [[\"->\", [\"and\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 0]], [\"telling-truth\", 3]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\"... | {"split": "train", "index": 9639} |
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, Emily, Owen, Zoey, and Mia. Matthew remarked, \"Emily is an angel\". According to Emily, \"Mia is a devil\". \"if (Matthew is an angel and Mia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 750, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"telling-truth\", 4]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\... | {"split": "train", "index": 9640} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Olivia, Oliver, Owen, Lucas, and Joseph. Olivia was heard saying, \"(Oliver is a pioneer) if and only if (Lucas is a pioneer if and only if Jos... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 751, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"not\", [\"lying\", 3]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 1... | {"split": "train", "index": 9641} |
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, Aria, Charlotte, Sofia, and Chloe. \"if (Aria is a pioneer if and only if Charlotte is a pioneer) then Charlotte is a pioneer,\" Matth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 752, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 2]], [\"lying\", 0], [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"lying\", 1], [\"lying\"... | {"split": "train", "index": 9642} |
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: James, Emma, Matthew, Oliver, and Sebastian. James asserted: \"Matthew is a knight and (Matthew is a knave or Matthew is a knight)\". \"it is not the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 753, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"or\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth... | {"split": "train", "index": 9643} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Aurora, Ethan, Amelia, Isabella, and Mason. Aurora was heard saying, \"(Ethan is a pioneer if and only if Aurora is a pioneer) or (Amelia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 754, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"telling-tru... | {"split": "train", "index": 9644} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Grace, Luke, Daniel, Harper, and Emily. In a statement by Grace: \"(Luke is a fool) or (Harper is a fool and Harper is a sage and Daniel is a sage) or (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 755, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"or\", [\"and\", [\"lying\", 2],... | {"split": "train", "index": 9645} |
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, Ava, Oliver, Logan, and Sophia. As Mia put it, \"(if Oliver is a knight then Logan is a knight) if and only if (Ava is a knight and Logan is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 756, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 3]]], [\"not\", [\"and\", [\"lying\", 2], [\"lying\", 0]]], [\"and... | {"split": "train", "index": 9646} |
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, Olivia, Grace, Ava, and Scarlett. \"(if Scarlett is an angel then Scarlett is a devil) if and only if (Grace is a devil if and only if Scarlett... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 757, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"not\", [\"not\", [\"lying\", 0]]], [\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3]]], [... | {"split": "train", "index": 9647} |
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: Benjamin, Alexander, Scarlett, Henry, and Avery. Benjamin expressed that (Alexander is an angel and Alexander is a devil and Scarlett is an angel) or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 758, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"->\", [\"lying\", 0], [\"lying\", 3]... | {"split": "train", "index": 9648} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Ava, Benjamin, William, Penelope, and Henry. According to Ava, \"Ava is a pioneer or (Ava is a pioneer if and only if William is a laggard) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 759, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"lying\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"<=>\"... | {"split": "train", "index": 9649} |
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, Sofia, Liam, Emily, and Ava. Henry noted, \"(Henry is a knight if and only if Emily is a knave) if and only if (Sofia is a knave if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 760, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"lying\", 0], [\"te... | {"split": "train", "index": 9650} |
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, Emma, Liam, Charlotte, and Luke. According to Lily, \"Luke is an angel if and only if Luke is a devil\". Emma commented, \"it is not the case tha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 761, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"lying\", 2]]], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 0], [\"lying\", 1]], ... | {"split": "train", "index": 9651} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Chloe, Mason, Sofia, Jackson, and Samuel. \"(if Samuel is a sinner then Sofia is a sinner) and (if Jackson is a sinner then Chloe is a saint),\" Chlo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 762, \"statements\": [[\"and\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"not\", [\"lying\", 0]], [\"not... | {"split": "train", "index": 9652} |
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: Sophia, Sofia, Owen, Avery, and Chloe. Sophia said, \"(Avery is an egoist or Avery is an altruist or Chloe is an altruist) and Avery is an egoi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 763, \"statements\": [[\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"lying\", 3]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1], [... | {"split": "train", "index": 9653} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: William, Liam, Owen, Isabella, and Olivia. \"(if William is an angel then Isabella is a devil) or (Olivia is a devil),\" William mentioned. \"(Isabella... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 764, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 3], [\"lying\", 0]]], [\"telling-truth\", 1... | {"split": "train", "index": 9654} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Alexander, Joseph, Emily, and Amelia. \"Charlotte is a knight,\" Charlotte declared. In a statement by Alexander: \"Joseph is a knight\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 765, \"statements\": [[\"telling-truth\", 0], [\"telling-truth\", 2], [\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"telling-truth\", 3]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 0], [\"telling-tr... | {"split": "train", "index": 9655} |
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, Jacob, Victoria, Luke, and Logan. According to Daniel, \"it is not the case that (Daniel is a villain)\". \"it is not the case that (if Victo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 766, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 0]], [\"or\", [\"lying\", 3], [\"telling-t... | {"split": "train", "index": 9656} |
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, Victoria, Liam, Noah, and Oliver. Evelyn said that (Oliver is a devil) if and only if (Noah is a devil or Evelyn is an angel or Oliver is a dev... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 767, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"telling-truth\", 0], [\"lying\", 4]]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", ... | {"split": "train", "index": 9657} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Jack, Alexander, Henry, Benjamin, and William. \"if (Benjamin is a devil or William is a devil) then (Alexander is an angel if and only if William is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 768, \"statements\": [[\"->\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"not\", [\"and\", [\"lying\", 4], [\"lying\", 0]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"t... | {"split": "train", "index": 9658} |
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: Emma, Noah, Amelia, Michael, and Ella. \"if (Amelia is a hero if and only if Noah is a villain) then (Emma is a hero if and only if Amelia is a villa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 769, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"->\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]]],... | {"split": "train", "index": 9659} |
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, Evelyn, David, Jacob, and Joseph. \"(Joseph is an altruist) if and only if (David is an egoist and Joseph is an altruist),\" Liam declare... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 770, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"telling-truth\", 4], [\"telling-truth\", 1], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-t... | {"split": "train", "index": 9660} |
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: Mia, Luke, Ava, James, and Owen. Mia was heard saying, \"(Ava is a saint or Owen is a sinner) if and only if (Ava is a sinner)\". Luke said that Jame... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 771, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 2]]], [\"lying\", 3], [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4],... | {"split": "train", "index": 9661} |
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, Liam, Avery, Zoey, and Mia. Matthew stated, \"(Zoey is a laggard if and only if Mia is a laggard) if and only if (Liam is a laggard an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 772, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"lying\", 1], [\"telling-truth\", 2], [\"lying\", 3]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"->\", [\"or\", [\"t... | {"split": "train", "index": 9662} |
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, Amelia, Zoey, William, and Luke. \"Amelia is an egoist,\" Liam mentioned. \"it is not the case that (Zoey is an egoist)\" - Amelia. Zoey ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 773, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1], [\"lying\", 3]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2... | {"split": "train", "index": 9663} |
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: Aria, Liam, Lily, Evelyn, and Alexander. In a statement by Aria: \"(Aria is a villain) and (Alexander is a villain if and only if Evelyn is a hero)\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 774, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"not\", [\"not\", [\"lying\", 3]]], [\"lying\", 4], [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-... | {"split": "train", "index": 9664} |
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, Elizabeth, Ethan, Zoey, and Chloe. Aiden commented, \"(Ethan is a knave) and (Elizabeth is a knight) and Elizabeth is a knave\". \"Ethan is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 775, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 1]], [\"lying\", 1]], [\"telling-truth\", 2], [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 2]], [\"and... | {"split": "train", "index": 9665} |
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: Aiden, Logan, Sophia, Evelyn, and Luke. Aiden noted, \"Luke is a fool\". According to Logan, \"Aiden is a sage if and only if (Evelyn is a fool if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 776, \"statements\": [[\"lying\", 4], [\"<=>\", [\"telling-truth\", 0], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"lying\", 3], [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 0]]], ... | {"split": "train", "index": 9666} |
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: Emma, Matthew, Harper, Henry, and David. Emma said, \"it is not the case that (Matthew is an angel).\" Matthew expressed that it is not the case that (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 777, \"statements\": [[\"not\", [\"not\", [\"lying\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"and\", [\"lying\", 4], [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\"... | {"split": "train", "index": 9667} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Jacob, Henry, Noah, Sofia, and Mason. Jacob stated, \"if (if Mason is an angel then Henry is a devil) then (Henry is an angel if and only if Sofia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 778, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"lying\", 4], [\"or\", [\"or\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\",... | {"split": "train", "index": 9668} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Henry, Riley, Daniel, Emily, and Isabella. Henry commented, \"Isabella is a saint\". \"(Henry is a sinner if and only if Daniel is a saint) and (Henr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 779, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"lying\", 1]], [\"->\", [\"lying\", 0], [\"tel... | {"split": "train", "index": 9669} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Jacob, Mia, Michael, Matthew, and Oliver. Jacob said that (Matthew is an angel) or Oliver is a devil. Mia said, \"Matthew is an angel.\" Michael said t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 780, \"statements\": [[\"or\", [\"not\", [\"lying\", 3]], [\"lying\", 4]], [\"telling-truth\", 3], [\"->\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"telling-... | {"split": "train", "index": 9670} |
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, Jackson, Benjamin, Zoey, and Oliver. Scarlett expressed that it is not the case that (Oliver is a saint if and only if Jackson is a sinner)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 781, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"a... | {"split": "train", "index": 9671} |
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, Riley, Grace, Liam, and Olivia. Aiden noted, \"if (Riley is a saint if and only if Riley is a sinner) then (Riley is a saint and Grace is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 782, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 4]]], [\"not\", [\"and\", [\"lying\", 0], [\"telling-truth\", 1], [\"lying... | {"split": "train", "index": 9672} |
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, Sophia, Abigail, Jack, and Elizabeth. Olivia told you that (Abigail is a devil or Abigail is an angel or Sophia is a devil) and Abigail is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 783, \"statements\": [[\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 1]], [\"telling-truth\", 2]], [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 2], [\"lying\", 3]]], [\"or\", [\"telling-truth\", 3], [... | {"split": "train", "index": 9673} |
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, Abigail, Ava, Noah, and Luke. \"it is not the case that (Abigail is a hero if and only if Evelyn is a hero),\" Evelyn mentioned. Abigail told... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 784, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"an... | {"split": "train", "index": 9674} |
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, Harper, Jackson, Lucas, and Riley. Joseph remarked, \"Harper is a sinner\". According to Harper, \"it is not the case that (Joseph is a sinne... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 785, \"statements\": [[\"lying\", 1], [\"not\", [\"and\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"telling-tr... | {"split": "train", "index": 9675} |
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: Olivia, Mia, Riley, Aria, and James. In Olivia's words: \"James is a sinner and (Mia is a sinner) and (Aria is a saint or Riley is a saint)\". Mia sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 786, \"statements\": [[\"and\", [\"lying\", 4], [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 0]]... | {"split": "train", "index": 9676} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ava, Ella, Matthew, Luke, and David. According to Ava, \"(if Ella is a knave then David is a knight) or (Matthew is a knight)\". Ella commented, \"Ma... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 787, \"statements\": [[\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]]], [\"and\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 3]], [\"and\... | {"split": "train", "index": 9677} |
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: Logan, Jackson, James, Charlotte, and Benjamin. Logan said that (Benjamin is an altruist or Charlotte is an altruist) or (if Jackson is an altr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 788, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"lying\", 3]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\... | {"split": "train", "index": 9678} |
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, Henry, David, Benjamin, and Emily. Harper was heard saying, \"it is not the case that (David is a villain)\". Henry told you that (Benjamin i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 789, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 2], [\"lying\", 0]]], [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 1]], [... | {"split": "train", "index": 9679} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Victoria, Ethan, Aria, Henry, and Samuel. In a statement by Victoria: \"Henry is a sage\". Ethan commented, \"Aria is a sage\". \"Ethan is a fool or (Aria ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 790, \"statements\": [[\"telling-truth\", 3], [\"telling-truth\", 2], [\"or\", [\"lying\", 1], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"lying\", 3]], [\"lying\", 1], [\"lying\", 0]], \"solution\": [false, t... | {"split": "train", "index": 9680} |
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, Avery, Chloe, Liam, and Emily. Zoey told you that Chloe is a devil if and only if (Chloe is an angel and Liam is an angel). \"it is not the case ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 791, \"statements\": [[\"<=>\", [\"lying\", 2], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"<=>\", [\"and\", [\"lying\", 0], [\"lying\", 3], [\"ly... | {"split": "train", "index": 9681} |
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, Luke, Lucas, Victoria, and David. In Michael's words: \"Victoria is a sage\". Luke said that if (if Luke is a sage then Lucas is a sage) then (Vic... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 792, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"and\", [\"lying\", 1], [\"<=>\", [\... | {"split": "train", "index": 9682} |
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: Jacob, Lucas, Aria, Logan, and Alexander. Jacob remarked, \"(Lucas is a pioneer if and only if Aria is a pioneer) or (Logan is a pioneer) or (L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 793, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 0], [\"lying\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 4]... | {"split": "train", "index": 9683} |
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, Jackson, Aiden, James, and Matthew. According to Chloe, \"(James is a knave and Matthew is a knight and Jackson is a knave) and (Matthew is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 794, \"statements\": [[\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4], [\"lying\", 1]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0], ... | {"split": "train", "index": 9684} |
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: Ella, Aiden, Owen, Chloe, and David. Ella remarked, \"Owen is an egoist\". In a statement by Aiden: \"if (if Chloe is an egoist then David is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 795, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"and\", [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 3]]], [\"->\", [\"->\", [\"lying\", 1], [\"telli... | {"split": "train", "index": 9685} |
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: James, Scarlett, Ava, Alexander, and Logan. As James put it, \"(Ava is a knave if and only if Logan is a knave) or (if Alexander is a knight then Sca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 796, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"or\", [\"lying\", 2], [\"lying\", 1], [\"lying\", 4]]], [\"<=>\", [\"telling-truth\", 4], [... | {"split": "train", "index": 9686} |
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, Joseph, Logan, Ethan, and Samuel. \"it is not the case that (Samuel is a saint or Ethan is a saint or Logan is a saint),\" Noah claimed. Joseph... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 797, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"lying\", 2]], [\"not\", [\"lying\", 0]]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"... | {"split": "train", "index": 9687} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Jack, Abigail, Grace, Penelope, and Aiden. Jack said, \"if (Abigail is a saint or Grace is a sinner) then (Grace is a sinner).\" Abigail noted, \"(if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 798, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 0]], [\"or\", [\"telling-truth\", 3], [\"telling-truth... | {"split": "train", "index": 9688} |
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, Alexander, Zoey, Emma, and Grace. In Penelope's words: \"Emma is a sage and Alexander is a fool and (Penelope is a sage if and only if Grace is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 799, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"lying\", 1], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3... | {"split": "train", "index": 9689} |
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: Oliver, Aurora, Sophia, Matthew, and Logan. Oliver remarked, \"(Matthew is a knight) and (Logan is a knight if and only if Logan is a knave) and (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 800, \"statements\": [[\"and\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"and\", [\"and\", [\"lying\", 4], [\"lying\", 0], [\"te... | {"split": "train", "index": 9690} |
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, Zoey, Ella, Victoria, and Jackson. Daniel commented, \"(Zoey is an altruist or Victoria is an altruist) if and only if Victoria is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 801, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 4], [\"lying\", 0]], [\"lying\", 3], [\"and\", [\"->\", [\"lying\", 2], [\"lying\"... | {"split": "train", "index": 9691} |
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, Lily, Benjamin, Ava, and Victoria. Chloe remarked, \"Chloe is an altruist if and only if (Benjamin is an egoist)\". Lily remarked, \"(Av... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 802, \"statements\": [[\"<=>\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"->\", [\"<=>\... | {"split": "train", "index": 9692} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Samuel, Oliver, Victoria, Alexander, and Charlotte. Samuel remarked, \"Alexander is a fool\". Oliver said that (Oliver is a sage and Alexander is a sage an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 803, \"statements\": [[\"lying\", 3], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 2]], [\"lying\", 2]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"<=>\", [\"lying\", 3],... | {"split": "train", "index": 9693} |
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: David, Logan, Grace, Michael, and Mia. David commented, \"Mia is a villain if and only if (David is a villain)\". Logan commented, \"Michael is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 804, \"statements\": [[\"<=>\", [\"lying\", 4], [\"not\", [\"telling-truth\", 0]]], [\"lying\", 3], [\"telling-truth\", 0], [\"lying\", 0], [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 0], ... | {"split": "train", "index": 9694} |
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, Ethan, Ella, Benjamin, and Henry. As Zoey put it, \"Ella is a laggard and (Ella is a laggard or Henry is a laggard or Ethan is a pioneer)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 805, \"statements\": [[\"and\", [\"lying\", 2], [\"or\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 1]], [\"->\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\"... | {"split": "train", "index": 9695} |
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, Harper, Evelyn, Chloe, and Charlotte. According to Matthew, \"if (Charlotte is a saint and Evelyn is a saint and Harper is a sinner) then (C... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 806, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 1]], [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"telling-truth\", 1]],... | {"split": "train", "index": 9696} |
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, Michael, David, Sofia, and Ella. In William's words: \"(Michael is a saint or Michael is a sinner or Ella is a saint) or (William is a saint... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 807, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [... | {"split": "train", "index": 9697} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Jack, Owen, Sebastian, Aurora, and Ava. Jack asserted: \"(Sebastian is a sinner or Owen is a saint) if and only if (Ava is a sinner)\". Owen remarked... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 808, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 3], [\"lyi... | {"split": "train", "index": 9698} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Matthew, Emma, Scarlett, Oliver, and Jack. Matthew was heard saying, \"Emma is a knight and (if Scarlett is a knight then Emma is a knight)\". Accord... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 809, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"telling-truth\", 2], [\"or\", [\"not\", [\"lying\", 0]], [\"or\", [\"telling-truth\", 0], [\"lying\", 0], [\... | {"split": "train", "index": 9699} |
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