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 altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Scarlett, Grace, Victoria, Henry, and Jacob. In a statement by Scarlett: \"(if Grace is an egoist then Henry is an egoist) or (if Jacob is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 410, \"statements\": [[\"or\", [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"lying\", 4]],... | {"split": "train", "index": 9300} |
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: Chloe, Samuel, Mason, Luke, and Joseph. Chloe was heard saying, \"(Samuel is a pioneer and Samuel is a laggard and Luke is a laggard) and Samue... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 411, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1], [\"lying\", 3]], [\"lying\", 1], [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"lying\", 3], ... | {"split": "train", "index": 9301} |
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, Ethan, Joseph, Emily, and Elizabeth. \"(Joseph is a villain and Joseph is a hero and Ethan is a villain) if and only if (Elizabeth is a villai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 412, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 1]], [\"or\", [\"lying\", 4], [\"lying\", 1]]], [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2]], [\"->\", [\"lying\", 4],... | {"split": "train", "index": 9302} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Harper, Ella, Benjamin, Victoria, and Emma. Harper said that (Ella is a knight and Victoria is a knight and Emma is a knight) and Emma is a knave and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 413, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"lying\", 4], [\"<=>\", [\"lying\", 2], [\"lying\", 1]]], [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-trut... | {"split": "train", "index": 9303} |
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: Aurora, William, Isabella, Avery, and Amelia. Aurora commented, \"(William is an angel) if and only if (William is an angel if and only if Amelia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 414, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 0]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3... | {"split": "train", "index": 9304} |
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, Daniel, Michael, Aiden, and William. \"it is not the case that (Daniel is an egoist if and only if Michael is an egoist)\" - Elizabe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 415, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]]], [\"telling-truth\", 0], [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"lying\", 2], [\"and\... | {"split": "train", "index": 9305} |
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, Daniel, Michael, James, and Noah. \"if (Noah is a villain if and only if James is a villain) then (if Michael is a villain then Daniel is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 416, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"->\", [\"lying\", 3], [\"->\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"te... | {"split": "train", "index": 9306} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Alexander, Sofia, Luke, Isabella, and James. Alexander commented, \"if (James is an altruist if and only if Luke is an altruist) then Luke is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 417, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"lying\", 2]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 2], ... | {"split": "train", "index": 9307} |
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, Daniel, James, Samuel, and Mia. Noah asserted: \"it is not the case that (if Mia is an angel then Samuel is a devil)\". \"Samuel is an angel if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 418, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"<=>\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"telling-truth\", 4], [\"<=>\", [\"<=>\", [\"lying\", 0... | {"split": "train", "index": 9308} |
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: Olivia, Grace, Daniel, Matthew, and Lily. Olivia said, \"(Grace is an egoist and Daniel is an egoist) or (Grace is an egoist if and only if Mat... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 419, \"statements\": [[\"or\", [\"and\", [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"lying\", 1], [\"lying\", 3]]], [\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]]], [\"lying\", 1], [\"a... | {"split": "train", "index": 9309} |
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, Penelope, Victoria, Chloe, and Matthew. Jack remarked, \"Victoria is a villain\". \"(if Matthew is a hero then Victoria is a villain) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 420, \"statements\": [[\"lying\", 2], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"telling-truth\", 4]], [\"->\", [\"lying\", 4], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"lyin... | {"split": "train", "index": 9310} |
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, Emily, Aria, Penelope, and Logan. In a statement by Sebastian: \"(if Aria is a devil then Penelope is a devil) or (Penelope is a devil and A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 421, \"statements\": [[\"or\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"lying\", 3]], [\"and\", [\"telling-truth\", 2], [\"lying\", 0], [\"telling-tru... | {"split": "train", "index": 9311} |
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: Sofia, Zoey, Lucas, Logan, and Chloe. Sofia asserted: \"Logan is a fool\". Zoey said that (Sofia is a fool) or (Logan is a sage) or (Logan is a sage if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 422, \"statements\": [[\"lying\", 3], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"telling-truth\", 4], [\"->\", [\"or\", [\"telling-truth\", 3],... | {"split": "train", "index": 9312} |
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, Zoey, David, Mia, and Benjamin. Riley noted, \"(David is a sage if and only if Mia is a fool) if and only if (Zoey is a sage)\". \"Zoey is a sage,\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 423, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"not\", [\"lying\", 1]]], [\"telling-truth\", 1], [\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1... | {"split": "train", "index": 9313} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Ava, Aurora, Amelia, Jacob, and Michael. Ava noted, \"Amelia is an angel\". Aurora expressed that it is not the case that (Ava is a devil). Amelia was ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 424, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 0]], [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"lying\", 1]]], [\"<=>\... | {"split": "train", "index": 9314} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Chloe, Aria, Benjamin, Ella, and Aurora. According to Chloe, \"it is not the case that (if Benjamin is an angel then Aurora is a devil)\". Aria comment... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 425, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"not\", [\"lying\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", ... | {"split": "train", "index": 9315} |
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, Ethan, Penelope, Jack, and Jacob. Chloe commented, \"(Penelope is a knave or Ethan is a knave) if and only if (if Penelope is a knight then Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 426, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 2], [\"lying\", 1]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [... | {"split": "train", "index": 9316} |
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, Victoria, Jack, Sebastian, and Chloe. Ella remarked, \"(Chloe is a sinner or Sebastian is a saint or Jack is a sinner) and Sebastian is a sinne... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 427, \"statements\": [[\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 2]], [\"lying\", 3], [\"or\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"or\", [\"<=>\", [\"lying\", 0], [\"lying\", 3]], [\"tellin... | {"split": "train", "index": 9317} |
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: Aurora, Mason, Zoey, Riley, and Evelyn. In Aurora's words: \"(Riley is an angel or Zoey is a devil) and (Riley is an angel and Evelyn is an angel and Z... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 428, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"telling-truth\", 0]]], [\"telling-truth\", 1], [\"and\",... | {"split": "train", "index": 9318} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Owen, Isabella, Riley, Olivia, and Ava. \"if (if Riley is an angel then Owen is an angel) then (Olivia is a devil if and only if Ava is a devil),\" Owe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 429, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 0]], [\"->\", [\"lying\", 4], [\"tell... | {"split": "train", "index": 9319} |
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, Lily, Mia, Oliver, and Aria. Chloe said that (Aria is a sage and Lily is a fool) and Mia is a sage and (Lily is a fool and Oliver is a sage and Mia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 430, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1]], [\"telling-truth\", 2], [\"and\", [\"lying\", 1], [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"telling-truth\", 4], [\"or\", [\"telling... | {"split": "train", "index": 9320} |
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: Aria, Scarlett, Elizabeth, David, and Alexander. \"it is not the case that (David is a knave),\" Aria claimed. According to Scarlett, \"Elizabeth is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 431, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 3]]], [\"lying\", 2], [\"lying\", 0], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"not\", [\"telling-truth\", 4]]], [\"lying\", 2]], \"solution\":... | {"split": "train", "index": 9321} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Oliver, Mason, Sofia, Olivia, and Isabella. As Oliver put it, \"(if Olivia is a sage then Sofia is a sage) if and only if (Olivia is a fool if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 432, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]], [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 3]], [\"and\", [\"telling-truth\", 3], [\"ly... | {"split": "train", "index": 9322} |
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, Mia, Elizabeth, Chloe, and Alexander. \"(Alexander is an egoist if and only if Mia is an altruist) or (Chloe is an egoist if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 433, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"->\", [\"telling-truth\", 4], [... | {"split": "train", "index": 9323} |
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, Jack, Aiden, David, and Scarlett. Michael remarked, \"(David is a fool and Aiden is a fool) and (Jack is a fool if and only if Aiden is a fool)\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 434, \"statements\": [[\"and\", [\"and\", [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"lying\", 1], [\"lying\", 2]]], [\"<=>\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"lying\", 4... | {"split": "train", "index": 9324} |
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, Jack, Ella, Amelia, and Penelope. \"if (Jack is a fool or Penelope is a fool) then (Penelope is a sage or Jack is a sage),\" Zoey mentioned. \"(Zoey ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 435, \"statements\": [[\"->\", [\"or\", [\"lying\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\", [\"telling-truth... | {"split": "train", "index": 9325} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Noah, Daniel, Ella, Sofia, and Ava. Noah was heard saying, \"if (Sofia is a knight) then (Sofia is a knave)\". Daniel asserted: \"Sofia is a knave if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 436, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"lying\", 3], [\"not\", [\"lying\", 3]]], [\"or\", [\"->\", [\"lying\", 0], [\"lying\", 4]], [\"and\", [\"telling-truth\... | {"split": "train", "index": 9326} |
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, Liam, Ava, David, and Sophia. \"(Michael is a knave) if and only if (Michael is a knight or Liam is a knight)\" - Michael. \"(Michael is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 437, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"<=>\", [\"or\", [\"lying\", 0], [\"lying\", 2], [\"lying\", 4]], [\"<=>\", [\"lying\", 0], [\"tel... | {"split": "train", "index": 9327} |
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, Alexander, Olivia, Elizabeth, and Jack. Matthew stated, \"it is not the case that (Jack is a pioneer)\". Alexander asserted: \"Alexand... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 438, \"statements\": [[\"not\", [\"not\", [\"lying\", 4]]], [\"and\", [\"telling-truth\", 1], [\"lying\", 0], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4... | {"split": "train", "index": 9328} |
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, Samuel, Avery, Lily, and James. \"James is a pioneer,\" Olivia mentioned. Samuel commented, \"(Lily is a laggard if and only if Olivia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 439, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 0]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"or\", [\"lying\", 0], [\"telling-truth\", 0], [\"telling-truth\", ... | {"split": "train", "index": 9329} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Logan, Aria, Grace, Aurora, and Lucas. According to Logan, \"Grace is a pioneer and Aurora is a pioneer and (Aurora is a laggard)\". \"Grace is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 440, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 3]]], [\"lying\", 2], [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 0], [\"lying\", 4]]], [\"->\", [\"or\", [\"lyi... | {"split": "train", "index": 9330} |
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: Jackson, Abigail, Jack, Sebastian, and Ella. In a statement by Jackson: \"if Jack is an egoist then (if Jack is an egoist then Ella is an egois... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 441, \"statements\": [[\"->\", [\"lying\", 2], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"and\", [\"or\", [\"lying\", 0], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 0], [\"lying\", 2]]], [\"and\"... | {"split": "train", "index": 9331} |
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: Lily, David, Grace, Amelia, and Victoria. Lily asserted: \"David is a knave\". David stated, \"if Victoria is a knight then (David is a knight or Vic... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 442, \"statements\": [[\"lying\", 1], [\"->\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"and\", [\"telling-truth\", 4], [\"and\", [\"lying\", 0], [\"telling-truth\", 3], [\"lying\", ... | {"split": "train", "index": 9332} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Ava, Joseph, David, Daniel, and Aurora. Ava said that if (Daniel is a hero) then (Aurora is a villain if and only if David is a hero). Joseph express... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 443, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", ... | {"split": "train", "index": 9333} |
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, Riley, Penelope, James, and Aiden. According to Samuel, \"Aiden is a sage\". \"(if James is a fool then James is a sage) or Samuel is a fool,\" Ril... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 444, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"lying\", 0]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"lying\", 4]], [\"and\", [\"and\"... | {"split": "train", "index": 9334} |
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: Aurora, Sofia, Mason, David, and Sophia. Aurora said, \"if (David is a knight) then (Sophia is a knight or Mason is a knave or Sofia is a knight).\" ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 445, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 1]]], [\"lying\", 4], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], ... | {"split": "train", "index": 9335} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, Mia, Abigail, Aurora, and Aria. As Lucas put it, \"(Aria is a knight if and only if Aurora is a knave) or (Aurora is a knave and Lucas is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 446, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"and\", [\"telling-tru... | {"split": "train", "index": 9336} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Mason, Mia, Evelyn, Liam, and Alexander. According to Mason, \"Evelyn is a pioneer or (Evelyn is a laggard)\". In Mia's words: \"(if Alexander ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 447, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"and\", [\"lying\", 4], [\"lying\", 0], [\"lying\", 2]]], [\"or\", [\"and\", [\"t... | {"split": "train", "index": 9337} |
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, Joseph, Benjamin, Victoria, and William. Noah expressed that William is an angel. Joseph remarked, \"it is not the case that (Victoria is an ange... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 448, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying\", 4], [\"lying\", 0]], [\"not\", [\"telling-tr... | {"split": "train", "index": 9338} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Noah, Amelia, Charlotte, William, and Jack. Noah commented, \"Charlotte is a knave\". \"William is a knight,\" Amelia declared. As Charlotte put it, ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 449, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 2], [\"->\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]]], \"solution\": [fals... | {"split": "train", "index": 9339} |
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, Harper, Jacob, Emily, and Henry. Victoria said that Harper is an angel. \"it is not the case that (Emily is a devil and Harper is an angel),\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 450, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"lying\", 3]], [\"lying\", 1]], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"l... | {"split": "train", "index": 9340} |
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: Joseph, Mia, Sebastian, Oliver, and Charlotte. In Joseph's words: \"if (Oliver is a pioneer) then Charlotte is a pioneer\". Mia said, \"Charlot... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 451, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"telling-truth\", 4]], [\"lying\", 4], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"or\",... | {"split": "train", "index": 9341} |
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: Noah, Logan, Mia, Victoria, and William. Noah commented, \"if (Victoria is a laggard and Logan is a pioneer and Noah is a pioneer) then (Willia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 452, \"statements\": [[\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 1]]], [\"telling-truth\", 2], [\"telling-truth\", 4], [\"->... | {"split": "train", "index": 9342} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: James, Michael, David, Avery, and Emma. In a statement by James: \"it is not the case that (if Michael is a devil then Avery is an angel)\". Michael st... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 453, \"statements\": [[\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 0], [\"or\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"tel... | {"split": "train", "index": 9343} |
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: Jackson, Liam, Penelope, Riley, and Joseph. Jackson said that Riley is an egoist. \"Penelope is an egoist\" - Liam. As Penelope put it, \"(Rile... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 454, \"statements\": [[\"lying\", 3], [\"lying\", 2], [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 0]], [\"telling-truth\", 0], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"and\", [\"... | {"split": "train", "index": 9344} |
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, Sebastian, Matthew, Chloe, and Aria. \"(Sebastian is a devil) and (Emma is an angel and Sebastian is an angel and Matthew is an angel) and Chloe ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 455, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 3]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"or\", [\"ly... | {"split": "train", "index": 9345} |
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: Samuel, Jack, Ethan, Matthew, and David. \"(Samuel is an angel or David is a devil) and (if Ethan is an angel then Matthew is an angel),\" Samuel decla... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 456, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"and\", [\"->\", [\"lying\", 0], [\"lying\", 2]], [\"<=>\", [\"lying\", 3], [\"tell... | {"split": "train", "index": 9346} |
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, Isabella, William, Aiden, and Scarlett. Logan expressed that if (Logan is a sage or Isabella is a fool) then (Logan is a sage and Isabella is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 457, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"not\",... | {"split": "train", "index": 9347} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Noah, Riley, Lily, Ava, and Ella. Noah said that (Ava is a hero or Ella is a hero or Ella is a villain) and (Lily is a hero and Ava is a hero and Ell... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 458, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [... | {"split": "train", "index": 9348} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Ava, Owen, William, Victoria, and Aria. Ava asserted: \"Owen is a devil or (Victoria is an angel if and only if William is a devil) or (Victoria is a d... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 459, \"statements\": [[\"or\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"n... | {"split": "train", "index": 9349} |
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, Daniel, Grace, Charlotte, and Isabella. In Chloe's words: \"(Daniel is a knight if and only if Chloe is a knight) and (Charlotte is a knave or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 460, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"or\", [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"and\", [\"telling-truth\", 1], ... | {"split": "train", "index": 9350} |
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, Sophia, Ethan, Ella, and Jack. \"it is not the case that (Ella is a hero and Alexander is a hero),\" Alexander claimed. Sophia was heard s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 461, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"->\", [\"lying\", 3], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"t... | {"split": "train", "index": 9351} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Sophia, Michael, Noah, Oliver, and Zoey. Sophia stated, \"it is not the case that (Oliver is a saint or Zoey is a saint or Sophia is a saint)\". Mich... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 462, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"lying\", 2], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"telling-truth... | {"split": "train", "index": 9352} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Owen, Emily, Isabella, Sofia, and Aria. Owen told you that (Aria is a devil) if and only if (Aria is an angel or Emily is a devil). Emily stated, \"Isa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 463, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"telling-truth\", 2], [\"not\", [\"not\", [\"lying\", 0]]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"... | {"split": "train", "index": 9353} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Isabella, Alexander, Daniel, William, and Sofia. Isabella was heard saying, \"if (William is a knight and Alexander is a knave) then Sofia is a knigh... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 464, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1]], [\"telling-truth\", 4]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"lying\", 0], [\"lying\", 3]]], [\"not\"... | {"split": "train", "index": 9354} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Sophia, Victoria, Elizabeth, Mia, and Zoey. Sophia remarked, \"(Elizabeth is a laggard and Victoria is a laggard and Mia is a pioneer) or (Soph... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 465, \"statements\": [[\"or\", [\"and\", [\"lying\", 2], [\"lying\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 0]], [\"->\", [\"lying\", 2]... | {"split": "train", "index": 9355} |
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, Ethan, Aurora, Joseph, and Victoria. \"if (if Ethan is an angel then Joseph is a devil) then (if Victoria is an angel then Benjamin is an ang... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 466, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"lying\", 4]]], [\"->\",... | {"split": "train", "index": 9356} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Aiden, James, Jackson, Ella, and Aria. Aiden remarked, \"(if Jackson is an angel then Aria is a devil) and (Aria is an angel or Ella is an angel or Aid... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 467, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"ly... | {"split": "train", "index": 9357} |
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, Luke, Aria, Daniel, and Harper. \"it is not the case that (Daniel is an angel),\" Jacob declared. Luke told you that Harper is a devil and (Aria... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 468, \"statements\": [[\"not\", [\"not\", [\"lying\", 3]]], [\"and\", [\"lying\", 4], [\"and\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"->\", [\"n... | {"split": "train", "index": 9358} |
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, Oliver, Emma, Isabella, and Henry. Avery expressed that Isabella is an egoist. Oliver commented, \"(Avery is an egoist) or (if Isabella ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 469, \"statements\": [[\"lying\", 3], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"telling-truth\", 3], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"tell... | {"split": "train", "index": 9359} |
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, Sofia, Penelope, Mia, and Joseph. Ella expressed that (Sofia is an altruist if and only if Mia is an egoist) if and only if (if Sofia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 470, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"telling-truth\", 2]], [... | {"split": "train", "index": 9360} |
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, Lucas, Harper, William, and Michael. Samuel noted, \"Michael is a knave\". According to Lucas, \"if (if Samuel is a knight then Michael is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 471, \"statements\": [[\"lying\", 4], [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 0]], [\"<=>\", [\"lyin... | {"split": "train", "index": 9361} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: William, Henry, Elizabeth, Emma, and Daniel. \"(if Daniel is an altruist then Henry is an egoist) or (Emma is an altruist if and only if Henry ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 472, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 3], [\... | {"split": "train", "index": 9362} |
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, Michael, Daniel, Noah, and Lily. Owen was heard saying, \"Daniel is a saint\". Michael was heard saying, \"(Daniel is a sinner) if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 473, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 4], [\"lyin... | {"split": "train", "index": 9363} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Ava, Michael, Aurora, Liam, and Isabella. Ava commented, \"Isabella is a devil\". Michael remarked, \"(Isabella is a devil and Ava is an angel) and (Li... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 474, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\"te... | {"split": "train", "index": 9364} |
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: Noah, Avery, Harper, Jacob, and Henry. In a statement by Noah: \"it is not the case that (Jacob is a pioneer or Jacob is a laggard)\". Avery to... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 475, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"->\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"and\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]... | {"split": "train", "index": 9365} |
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, Logan, Avery, Riley, and Sebastian. Victoria commented, \"if Logan is a pioneer then (Riley is a pioneer if and only if Victoria is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 476, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"lying\"... | {"split": "train", "index": 9366} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Emily, Henry, Joseph, Jack, and Owen. \"it is not the case that (Jack is a fool and Emily is a sage and Henry is a sage),\" Emily declared. Henry asserted:... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 477, \"statements\": [[\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"lying\", 3], [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"and\", [\"telling-truth\", 4], [\"tellin... | {"split": "train", "index": 9367} |
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, James, Avery, Sebastian, and Owen. Chloe said that Chloe is a saint. James said, \"(James is a saint if and only if Owen is a sinner) and (Jam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 478, \"statements\": [[\"telling-truth\", 0], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"->\", [\"not\", [\"lying\", 1]], ... | {"split": "train", "index": 9368} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Lily, Harper, Aiden, Benjamin, and Charlotte. Lily said, \"if (Harper is a hero or Aiden is a hero) then Harper is a hero.\" According to Harper, \"i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 479, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"lying\", 4], [... | {"split": "train", "index": 9369} |
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, Lucas, Scarlett, Evelyn, and Alexander. \"if (Alexander is a fool) then (Evelyn is a sage if and only if Evelyn is a fool),\" Penelope mentioned.... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 480, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 2]], [\"->\", [\"lying\", 3]... | {"split": "train", "index": 9370} |
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, Samuel, Grace, Luke, and Alexander. \"(Luke is an altruist or Samuel is an altruist) and (Grace is an altruist if and only if Grace is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 481, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"not\", [\"not\", [\"telling-tru... | {"split": "train", "index": 9371} |
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, Jack, Daniel, Joseph, and Grace. Abigail commented, \"(Grace is a knight and Daniel is a knave and Abigail is a knight) and (if Joseph is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 482, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"telling-truth\", 0], [\"lying\", 0], [\"->\", [\"telling-truth\",... | {"split": "train", "index": 9372} |
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, Jackson, Chloe, Aria, and Grace. Emma said that Aria is a sinner. As Jackson put it, \"Emma is a saint\". Chloe said that Grace is a saint. Ari... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 483, \"statements\": [[\"lying\", 3], [\"telling-truth\", 0], [\"not\", [\"lying\", 4]], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"lying\", 2]], [\"lying\", 0]], \"solution\": [false, false, true, ... | {"split": "train", "index": 9373} |
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, Alexander, Zoey, Oliver, and Jackson. Lily noted, \"if (if Jackson is a sinner then Alexander is a saint) then (if Jackson is a saint then Zoey... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 484, \"statements\": [[\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\"... | {"split": "train", "index": 9374} |
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, Owen, Charlotte, Penelope, and Samuel. William expressed that (if Penelope is an angel then Charlotte is an angel) and (if Owen is a devil the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 485, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"telling-truth\", 0], ... | {"split": "train", "index": 9375} |
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, Victoria, Ella, Samuel, and Liam. Jack noted, \"(if Victoria is a laggard then Jack is a pioneer) if and only if (Liam is a pioneer or Sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 486, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"lying\", 3], [\"lying\", 2]], [\"and\", [\"lying... | {"split": "train", "index": 9376} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Chloe, Samuel, David, Aiden, and Ella. Chloe said that Chloe is a hero. Samuel was heard saying, \"(Aiden is a hero or Ella is a hero) if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 487, \"statements\": [[\"telling-truth\", 0], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"lying\", 0]]], [\"->\", [\"lying\", 1], [\"->\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"lying... | {"split": "train", "index": 9377} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Amelia, Abigail, Sofia, Harper, and Mason. Amelia said that if (Abigail is a devil or Mason is a devil) then (Abigail is a devil if and only if Sofia i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 488, \"statements\": [[\"->\", [\"or\", [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 1], [\"lying\", 2]]], [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 3], [\"telling-truth\"... | {"split": "train", "index": 9378} |
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, Sofia, Ethan, Chloe, and Charlotte. Samuel remarked, \"(Chloe is an egoist if and only if Charlotte is an egoist) or (if Ethan is an al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 489, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"not\", [\"lying\", 1]]], [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 0], [\"telling-trut... | {"split": "train", "index": 9379} |
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: Elizabeth, Owen, Daniel, Sofia, and Benjamin. Elizabeth was heard saying, \"if (Benjamin is a sage and Sofia is a fool) then Daniel is a sage\". \"Benjamin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 490, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 4], [\"not\", [\"lying\", 2]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]], [\"<=>\", [\"o... | {"split": "train", "index": 9380} |
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: David, Aiden, Riley, Emily, and Abigail. David said that it is not the case that (Riley is a laggard or Aiden is a laggard). \"if (Emily is a p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 491, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"lying\", 1]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"lying\", 2]]], [\"or\", [\"not\", [\"lying\", 1]], [\"->\", [\"telling... | {"split": "train", "index": 9381} |
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, Isabella, Victoria, and Alexander. Jackson asserted: \"(Isabella is a knight and Owen is a knave) if and only if Owen is a knave\". Ow... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 492, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1]], [\"lying\", 1]], [\"telling-truth\", 2], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"or\", [\"lying\", 1], [\"telling-truth... | {"split": "train", "index": 9382} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Luke, Zoey, Charlotte, Penelope, and Sophia. Luke remarked, \"(Sophia is an altruist or Zoey is an egoist or Zoey is an altruist) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 493, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"or\", [\"telling-truth\", 1], [\"->\", [\"lying\", 3], [\"telling... | {"split": "train", "index": 9383} |
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, Lucas, Emily, Jack, and Charlotte. Sebastian stated, \"(if Emily is an altruist then Sebastian is an altruist) and (Emily is an altr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 494, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", ... | {"split": "train", "index": 9384} |
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, Abigail, Grace, Isabella, and Henry. \"if (Grace is a devil and Abigail is an angel and Abigail is a devil) then (Abigail is a devil),\" Ella men... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 495, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1], [\"lying\", 1]], [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"lyi... | {"split": "train", "index": 9385} |
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, Amelia, Scarlett, Mason, and Logan. Riley stated, \"it is not the case that (Riley is a sage or Mason is a fool or Amelia is a fool)\". \"(Amelia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 496, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 0]], [\"not\", [\"lying\", 4]]], [\"or\", [\"->\", [\"telling-truth\", ... | {"split": "train", "index": 9386} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Alexander, Matthew, James, Jacob, and Michael. According to Alexander, \"if James is a knave then (Jacob is a knight and Matthew is a knight and Mich... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 497, \"statements\": [[\"->\", [\"lying\", 2], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"ly... | {"split": "train", "index": 9387} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Aurora, Jack, Noah, Mia, and Owen. According to Aurora, \"(Owen is a hero if and only if Noah is a villain) or (Aurora is a hero and Mia is a hero) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 498, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"lying\", 1]]], [\"lying\", 0], [\"or\", [\"not\", [\"lyi... | {"split": "train", "index": 9388} |
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, Jack, Riley, Ella, and Olivia. Scarlett noted, \"(Riley is a devil or Jack is an angel) if and only if Riley is a devil\". Jack expressed tha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 499, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]], [\"lying\", 2]], [\"or\", [\"telling-truth\", 3], [\"not\", [\"lying\", 0]], [\"and\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"<=>\", [\"->... | {"split": "train", "index": 9389} |
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, Ava, Mason, and Joseph. Samuel said that Ava is a knight or (Joseph is a knave if and only if Luke is a knave) or (Joseph is a knight o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 500, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 4], [\"lying\", 1]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\... | {"split": "train", "index": 9390} |
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, Sebastian, Logan, Victoria, and Olivia. Charlotte said that if (Logan is an angel or Victoria is a devil) then (Olivia is a devil or Logan i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 501, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\... | {"split": "train", "index": 9391} |
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, Zoey, Oliver, Aiden, and Jacob. According to Chloe, \"Jacob is an altruist\". Zoey expressed that if (Aiden is an altruist) then (Aiden ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 502, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]], [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"telling-truth\", ... | {"split": "train", "index": 9392} |
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: Abigail, Ella, Matthew, Joseph, and Samuel. In Abigail's words: \"(Ella is a sinner) if and only if (Ella is a saint if and only if Joseph is a saint... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 503, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"->\", [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"and\", [\"t... | {"split": "train", "index": 9393} |
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: David, Lucas, Matthew, Evelyn, and Scarlett. In David's words: \"Evelyn is a pioneer\". \"(Evelyn is a laggard and Lucas is a pioneer and Scarl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 504, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"not\", [\"lying\",... | {"split": "train", "index": 9394} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Penelope, Lily, Chloe, Elizabeth, and Avery. Penelope commented, \"it is not the case that (Elizabeth is a villain and Avery is a hero and Penelope i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 505, \"statements\": [[\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"or\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\... | {"split": "train", "index": 9395} |
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, Michael, Avery, Grace, and Jacob. Chloe remarked, \"Chloe is a saint\". In Michael's words: \"Avery is a sinner\". \"(if Chloe is a saint then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 506, \"statements\": [[\"telling-truth\", 0], [\"lying\", 2], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 1]], \"soluti... | {"split": "train", "index": 9396} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Harper, Lucas, Mia, Scarlett, and Benjamin. In a statement by Harper: \"(Mia is a hero if and only if Lucas is a villain) if and only if (Benjamin is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 507, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"lying\", 2], [\"or\", [\"lying\", 2], [\"telling-truth\", 2], [\"lying\", 3]]], [\"->\", [\"<=... | {"split": "train", "index": 9397} |
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, Joseph, Ethan, Evelyn, and Elizabeth. \"(Ethan is a knight and Joseph is a knight) if and only if (if Ethan is a knave then Joseph is a knigh... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 508, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"not\", [\"or\", [\"... | {"split": "train", "index": 9398} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Victoria, Sofia, David, James, and Samuel. Victoria asserted: \"David is a hero and (Sofia is a hero or Samuel is a hero)\". Sofia told you that (Sof... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 509, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 0]], [\"or\", [\"lying\", 3], [\"lyi... | {"split": "train", "index": 9399} |
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