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 saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Matthew, Victoria, Mason, Samuel, and Michael. In Matthew's words: \"((if Samuel is a saint then Michael is a saint) if and only if (if Victoria is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 244, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"lying\", 1], [\"lying\", 2]]], [\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], ... | {"split": "train", "index": 15800} |
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, Logan, Harper, Lucas, and Aiden. Daniel noted, \"((Logan is a devil and Aiden is a devil and Lucas is an angel) if and only if (if Lucas is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 245, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"lying\", 1], [\"and\", [\"and\", [\"lying\", 1], [\"tell... | {"split": "train", "index": 15801} |
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, Riley, Jackson, Mason, and Jacob. Lucas asserted: \"if (it is not the case that (Jackson is a villain if and only if Jacob is a villain)) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 246, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"telling-truth\", 2]], [\"and\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"or\", [... | {"split": "train", "index": 15802} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Sophia, Oliver, Owen, Emma, and Jack. Sophia expressed that it is not the case that ((Sophia is an angel or Emma is a devil) or Jack is an angel). Oliv... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 247, \"statements\": [[\"not\", [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3]], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"or\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-truth... | {"split": "train", "index": 15803} |
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, Charlotte, Alexander, Jackson, and Sophia. Evelyn expressed that ((Jackson is a devil if and only if Sophia is an angel) or Evelyn is an angel)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 248, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 0]], [\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"or\", [\"lying\", 2], [\"lying\", 1], [\"telling-truth... | {"split": "train", "index": 15804} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Ethan, Joseph, Mia, Chloe, and Aria. Ethan said that (if (Mia is a laggard or Chloe is a laggard or Chloe is a pioneer) then (Chloe is a laggar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 249, \"statements\": [[\"or\", [\"->\", [\"or\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"telling-truth\", 3], [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 1]], [\"or\"... | {"split": "train", "index": 15805} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Isabella, William, Liam, Lily, and Riley. In a statement by Isabella: \"(it is not the case that (Lily is a sinner)) and Liam is a sinner\". \"it is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 250, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"lying\", 2]], [\"not\", [\"->\", [\"or\", [\"lying\", 0], [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"lying\", 4], [\"lying\", 3]]]], [... | {"split": "train", "index": 15806} |
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, Ava, Matthew, Scarlett, and Samuel. Isabella was heard saying, \"it is not the case that ((Isabella is a sage and Samuel is a sage) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 251, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]]]], [\"and\", [\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-... | {"split": "train", "index": 15807} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Amelia, Aurora, William, Ava, and Lily. Amelia stated, \"Lily is a hero or (if (if Amelia is a hero then William is a hero) then (William is a villai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 252, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"telling-truth\", 0], [\"tellin... | {"split": "train", "index": 15808} |
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: Jacob, Luke, Sofia, Abigail, and Emma. Jacob expressed that (if (Luke is a sinner if and only if Jacob is a saint) then (Abigail is a saint or Luke i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 253, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"->\", [\"telling-tru... | {"split": "train", "index": 15809} |
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, Chloe, William, Olivia, and Jacob. \"(Chloe is a saint if and only if (Jacob is a saint)) if and only if (it is not the case that (Olivia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 254, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"not\", [\"lying\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]]]], [\"not\", [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth... | {"split": "train", "index": 15810} |
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, Jack, Chloe, Charlotte, and Elizabeth. According to Lily, \"(it is not the case that (if Chloe is a villain then Elizabeth is a villain)) or ((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 255, \"statements\": [[\"or\", [\"not\", [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"lying\", 1]]]], [\"telling-truth\", 4], [\"or\", [\"or\", [\"not\", [... | {"split": "train", "index": 15811} |
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: Liam, Michael, James, Olivia, and Sofia. According to Liam, \"James is a devil\". According to Michael, \"(Sofia is an angel if and only if (if Michael... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 256, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 0], [\"tel... | {"split": "train", "index": 15812} |
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: Mia, Emily, Harper, Mason, and Jack. Mia stated, \"Jack is an angel\". Emily said, \"Mason is a devil.\" Harper told you that it is not the case that (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 257, \"statements\": [[\"telling-truth\", 4], [\"lying\", 3], [\"not\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"telling-truth\", 3], [\"lying\", 3]]]], [\"and\", [\"<=>\", [\"telling-truth\", 3... | {"split": "train", "index": 15813} |
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, Avery, Luke, and Logan. As Noah put it, \"Luke is a knight\". Daniel said, \"(it is not the case that (Avery is a knight)) and (if (Luk... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 258, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"not\", [\"not\", [\"lying\", 2]]], [\"->\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]]], [\"or\", [\"and\", [\"->\", [\"lying\", 4],... | {"split": "train", "index": 15814} |
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: Ava, Harper, Matthew, Aria, and Luke. Ava expressed that Matthew is an altruist. Harper said that Aria is an altruist. Matthew commented, \"if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 259, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"lying\", 3]], [\"->\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\... | {"split": "train", "index": 15815} |
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: Jackson, Joseph, William, Isabella, and Liam. Jackson said that (if (Isabella is a laggard or Jackson is a pioneer or Joseph is a pioneer) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 260, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"and\", [\"lying\", 4], [\"<=>\", [\"lying\", 4],... | {"split": "train", "index": 15816} |
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, Ava, Michael, Jack, and Charlotte. James said that ((if Charlotte is an angel then Ava is a devil) if and only if (Charlotte is an angel if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 261, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"lying\", 1]], [\"<=>\", [\"and\", [\"lying\", 3], [\"and\", [\"telling-truth\",... | {"split": "train", "index": 15817} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Mason, Ava, Owen, Matthew, and Aiden. Mason was heard saying, \"it is not the case that ((Owen is an altruist or Matthew is an egoist) or (Matt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 262, \"statements\": [[\"not\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 1], [\"telling-truth\", 3]]]], [\"or\", [\"or\", [\"not\", [\"lying\", 2]], [\"... | {"split": "train", "index": 15818} |
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: Scarlett, Victoria, William, Sophia, and Zoey. Scarlett said that ((Zoey is a villain) or Zoey is a villain or (Zoey is a villain if and only if Vict... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 263, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 4], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"and\", [\"t... | {"split": "train", "index": 15819} |
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, Jack, Benjamin, Michael, and Emma. Ethan noted, \"((Emma is a fool and Jack is a fool) or (Emma is a fool or Michael is a sage or Benjamin is a fool... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 264, \"statements\": [[\"or\", [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 1]], [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"and\", [\"tell... | {"split": "train", "index": 15820} |
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, Avery, Logan, Elizabeth, and Henry. Jackson was heard saying, \"Henry is a knight\". According to Avery, \"(it is not the case that (Henry i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 265, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]]], [\"... | {"split": "train", "index": 15821} |
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, Luke, Sophia, and Olivia. As Amelia put it, \"if (it is not the case that (Sophia is an angel)) then ((Luke is a devil if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 266, \"statements\": [[\"->\", [\"not\", [\"not\", [\"lying\", 3]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"telling-tr... | {"split": "train", "index": 15822} |
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, Daniel, Alexander, Logan, and Grace. According to Sofia, \"(it is not the case that (Sofia is a hero and Grace is a hero)) if and only if ((Al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 267, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 1]]], [\"or\", [\"and\", [\"or\", [\"telling-truth\", 3], [... | {"split": "train", "index": 15823} |
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: Aria, Victoria, Riley, Benjamin, and Ethan. \"Ethan is a fool,\" Aria declared. Victoria was heard saying, \"it is not the case that (if (if Benjamin is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 268, \"statements\": [[\"lying\", 4], [\"not\", [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 0], [\"lying\", 0]]]], [\"and\", [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]... | {"split": "train", "index": 15824} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ethan, Scarlett, Victoria, James, and Riley. \"it is not the case that (if (Riley is a knight and Victoria is a knave and Riley is a knave) then (Vic... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 269, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]]]], [\"<=>\", [\"and\", [\"lying\", 0], [\"and\", [\"telling-... | {"split": "train", "index": 15825} |
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: Ethan, Isabella, Abigail, Amelia, and Avery. Ethan said that ((Isabella is an altruist or Isabella is an egoist or Avery is an egoist) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 270, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1], [\"lying\", 4]], [\"telling-truth\", 4]], [\"lying\", 3], [\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]]]], [\"and... | {"split": "train", "index": 15826} |
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: Elizabeth, William, Daniel, Owen, and Emily. \"if ((Emily is a devil) if and only if (Emily is an angel or William is a devil)) then ((Daniel is an ang... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 271, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]]], [\... | {"split": "train", "index": 15827} |
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, Alexander, Aria, Michael, and Amelia. \"Aria is a devil,\" William mentioned. In Alexander's words: \"(if (if Aria is a devil then Michael is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 272, \"statements\": [[\"lying\", 2], [\"and\", [\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 2]], [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 3], [... | {"split": "train", "index": 15828} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: James, Henry, Noah, Elizabeth, and Isabella. James noted, \"((Noah is a sinner if and only if Henry is a saint) and (Elizabeth is a saint or Isabella... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 273, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"lying\", 3], ... | {"split": "train", "index": 15829} |
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, Avery, Penelope, Elizabeth, and Samuel. Daniel commented, \"((Daniel is a devil) if and only if (Samuel is a devil and Daniel is an angel)) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 274, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", ... | {"split": "train", "index": 15830} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Michael, Aurora, David, Lucas, and Ella. Michael said that Ella is a sinner and ((if Aurora is a sinner then David is a sinner) if and only if (Auror... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 275, \"statements\": [[\"and\", [\"lying\", 4], [\"<=>\", [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"not\", [\"lying\", 1]]]], [\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\... | {"split": "train", "index": 15831} |
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: Aurora, Isabella, Jacob, Samuel, and Jack. Aurora stated, \"Jack is a saint\". In Isabella's words: \"Aurora is a saint\". In a statement by Jacob: \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 276, \"statements\": [[\"not\", [\"lying\", 4]], [\"telling-truth\", 0], [\"telling-truth\", 0], [\"not\", [\"<=>\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 1], [\"lying\", 0]]]], [\"<=>\", [\"... | {"split": "train", "index": 15832} |
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: Lucas, Harper, Ethan, Scarlett, and Aurora. \"Aurora is a laggard or ((if Harper is a pioneer then Aurora is a laggard) or (Harper is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 277, \"statements\": [[\"or\", [\"lying\", 4], [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]]], [\"and\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 0], [\"telli... | {"split": "train", "index": 15833} |
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: Liam, Aiden, Benjamin, Mia, and Alexander. Liam asserted: \"if ((Benjamin is an angel) and (Liam is an angel or Alexander is an angel)) then (it is not... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 278, \"statements\": [[\"->\", [\"and\", [\"not\", [\"lying\", 2]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]]]], [\"or\", [\"telling-truth\", 3], [\"... | {"split": "train", "index": 15834} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Isabella, Jack, Sebastian, Avery, and Logan. Isabella said that Sebastian is an egoist if and only if Avery is an egoist. \"(Sebastian is an eg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 279, \"statements\": [[\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 0], [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]]], [\... | {"split": "train", "index": 15835} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Scarlett, Noah, James, Alexander, and Lily. \"if (Lily is a knave and (Noah is a knave and Noah is a knight)) then Alexander is a knave,\" Scarlett d... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 280, \"statements\": [[\"->\", [\"and\", [\"lying\", 4], [\"and\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"and\", [\"lying\", 2], [\"not\", [\"telling-truth\", 2]]]], [\"and\", [\... | {"split": "train", "index": 15836} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Harper, Lily, Ethan, Oliver, and Jackson. Harper asserted: \"(if (Oliver is a sinner and Lily is a saint) then (if Ethan is a saint then Oliver is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 281, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"or\", [\"telling-trut... | {"split": "train", "index": 15837} |
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, Oliver, Mason, Avery, and Alexander. \"(if (Oliver is a knave and Ava is a knight) then (Oliver is a knight or Avery is a knave)) or ((Oliver is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 282, \"statements\": [[\"or\", [\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"lying\", 1], [\"lying\", 3]], [\"and\", [\"lying\", 1], [\"lyi... | {"split": "train", "index": 15838} |
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, William, Ethan, Aiden, and Harper. \"it is not the case that ((Aiden is a pioneer) and (Ethan is a laggard and Harper is a pioneer and H... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 283, \"statements\": [[\"not\", [\"and\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 4]]]], [\"not\", [\"or\", [\"not\", [\"lying\", 0]], [\"or\", [\"lying\", 4], [\"lying\", 2], [... | {"split": "train", "index": 15839} |
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, Evelyn, Henry, David, and Olivia. Noah expressed that Evelyn is a villain and ((if Henry is a villain then Evelyn is a hero) and (Olivia is a h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 284, \"statements\": [[\"and\", [\"lying\", 1], [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]]], [\"lying\", 3], [\"not\", [\"lying\", 3]], [\"<=>\", [\"not\", [\... | {"split": "train", "index": 15840} |
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, David, Mason, Alexander, and Liam. Daniel commented, \"if (if (Liam is an egoist) then (Daniel is an altruist or David is an altruist o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 285, \"statements\": [[\"->\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 4]]], [\"lying\", 3]], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"not\", [\"telling-tr... | {"split": "train", "index": 15841} |
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, Emma, Mason, Matthew, and James. Jacob remarked, \"((Matthew is a villain and James is a villain) and (James is a villain if and only if Mason... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 286, \"statements\": [[\"and\", [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]]]], [\"lying\", 2], [\"telling-... | {"split": "train", "index": 15842} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Ethan, Riley, Michael, Sebastian, and Grace. \"Sebastian is a saint,\" Ethan mentioned. \"Grace is a saint,\" Riley declared. \"Riley is a sinner,\" ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 287, \"statements\": [[\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 1], [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", 3]]], \"solution\": [true, false, true, true, false], \"nam... | {"split": "train", "index": 15843} |
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, Victoria, Riley, Noah, and Aiden. \"it is not the case that (it is not the case that (Riley is a hero)),\" Abigail claimed. \"it is not the ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 288, \"statements\": [[\"not\", [\"not\", [\"not\", [\"lying\", 2]]]], [\"not\", [\"not\", [\"or\", [\"lying\", 0], [\"lying\", 3]]]], [\"lying\", 1], [\"telling-truth\", 0], [\"->\", [\"or\", [\"not\", [\"telling-truth\", 2]]... | {"split": "train", "index": 15844} |
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, Evelyn, Liam, Jacob, and Joseph. \"(if (if Joseph is a saint then Jacob is a sinner) then (if Jacob is a sinner then Liam is a saint)) or ((Jos... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 289, \"statements\": [[\"or\", [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 2], [\"lying\", 3]... | {"split": "train", "index": 15845} |
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, Evelyn, Zoey, and Jack. Michael expressed that if ((if Evelyn is a knave then Jack is a knave) and (Michael is a knight or Jack is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 290, \"statements\": [[\"->\", [\"and\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\... | {"split": "train", "index": 15846} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Matthew, Sebastian, James, Avery, and Ethan. Matthew asserted: \"Avery is a sage\". Sebastian expressed that (if (Ethan is a sage if and only if Matthew is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 291, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 0]], [\"telling-truth\", 1]], [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 4]], [... | {"split": "train", "index": 15847} |
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: Liam, Emily, Sophia, Emma, and Zoey. Liam asserted: \"it is not the case that (if Liam is a pioneer then (Emma is a pioneer and Sophia is a lag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 292, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 0]]]], [\"->\", [\"lying\", 0], [\"->\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth... | {"split": "train", "index": 15848} |
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: Riley, Sofia, Sophia, Noah, and Avery. \"(if (Avery is an altruist or Avery is an egoist or Sophia is an egoist) then (if Sofia is an altruist ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 293, \"statements\": [[\"or\", [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\",... | {"split": "train", "index": 15849} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Jackson, Isabella, Aurora, Matthew, and Ava. Jackson expressed that it is not the case that ((if Aurora is a fool then Ava is a sage) if and only if (Isabe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 294, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 4]], [\"not\", [\"lying\", 1]]]], [\"<=>\", [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 1... | {"split": "train", "index": 15850} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Grace, Ava, Sophia, Michael, and Sofia. Grace noted, \"Sofia is an angel\". \"Michael is an angel,\" Ava mentioned. According to Sophia, \"if (it is no... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 295, \"statements\": [[\"telling-truth\", 4], [\"telling-truth\", 3], [\"->\", [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"lying... | {"split": "train", "index": 15851} |
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, Jack, Amelia, Isabella, and Lily. Emma told you that ((Emma is a hero or Jack is a hero) and (Lily is a hero if and only if Emma is a hero)) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 296, \"statements\": [[\"or\", [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"not\... | {"split": "train", "index": 15852} |
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, Sebastian, William, Jack, and Scarlett. \"if (Jack is a saint) then ((Sebastian is a saint or Jack is a saint or Sebastian is a sinner) and (J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 297, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2],... | {"split": "train", "index": 15853} |
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: Elizabeth, Abigail, Olivia, Lily, and Evelyn. According to Elizabeth, \"Abigail is a knight\". As Abigail put it, \"if (if (Elizabeth is a knight) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 298, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"->\", [\"not\", [\"lying\", 0]], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"not\", [\"and\", [\"te... | {"split": "train", "index": 15854} |
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: Charlotte, Riley, Jackson, Joseph, and Alexander. Charlotte noted, \"Jackson is an egoist\". Riley was heard saying, \"it is not the case that ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 299, \"statements\": [[\"lying\", 2], [\"not\", [\"->\", [\"telling-truth\", 3], [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]]], [\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"telling-trut... | {"split": "train", "index": 15855} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Charlotte, Oliver, Zoey, James, and Owen. In a statement by Charlotte: \"Oliver is a laggard\". \"James is a laggard,\" Oliver mentioned. Zoey ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 300, \"statements\": [[\"lying\", 1], [\"lying\", 3], [\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 3],... | {"split": "train", "index": 15856} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Mia, Ethan, Riley, Owen, and Aria. According to Mia, \"(Aria is an egoist and (Ethan is an altruist if and only if Riley is an egoist)) if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 301, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"telling-truth\", 4]], [\"->\", [\"<=>\", [\"lying\", 3], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]... | {"split": "train", "index": 15857} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Grace, Benjamin, Avery, Riley, and Zoey. Grace said that Riley is a laggard. Benjamin was heard saying, \"if (Avery is a laggard if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 302, \"statements\": [[\"lying\", 3], [\"->\", [\"<=>\", [\"lying\", 2], [\"and\", [\"lying\", 3], [\"lying\", 4]]], [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"or\", [\"t... | {"split": "train", "index": 15858} |
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: Isabella, Victoria, Liam, Aria, and Lucas. Isabella said, \"if ((Aria is a pioneer and Aria is a laggard and Victoria is a laggard) and (if Isa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 303, \"statements\": [[\"->\", [\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 1]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 2]... | {"split": "train", "index": 15859} |
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: Ella, Mia, Emma, Henry, and Aurora. Ella asserted: \"(if Mia is a hero then (if Emma is a hero then Aurora is a villain)) and (if (Aurora is a villai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 304, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"<=>\... | {"split": "train", "index": 15860} |
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: Joseph, Mia, Ethan, Amelia, and Isabella. Joseph told you that ((Joseph is a knight or Ethan is a knight or Mia is a knight) if and only if (Ethan is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 305, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]]], [\"telling-truth\", 0], [\"lying\", 2]], [\"->\", [\"and\", [\"<=>... | {"split": "train", "index": 15861} |
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, Logan, Ava, Henry, and Olivia. Alexander expressed that Henry is a hero. Logan said that if ((Olivia is a villain) and (if Alexander is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 306, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"and\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"telling-truth\", 2]], [\"->\", [\"<=>\", [\"<=>\", [\"lying\", 1], [\"te... | {"split": "train", "index": 15862} |
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: Elizabeth, Charlotte, Luke, Grace, and Olivia. According to Elizabeth, \"((Olivia is a devil or Elizabeth is an angel or Luke is an angel) and (if Char... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 307, \"statements\": [[\"or\", [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"telling-truth\", 2]], [\"not\", [\"not\", [\"telli... | {"split": "train", "index": 15863} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Mason, Logan, William, Olivia, and Liam. Mason expressed that Liam is an egoist. Logan said, \"William is an altruist if and only if ((if Liam ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 308, \"statements\": [[\"lying\", 4], [\"<=>\", [\"telling-truth\", 2], [\"<=>\", [\"->\", [\"lying\", 4], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]]], [\"<=>\", [\"->\", [\"->\", [\"telling-tr... | {"split": "train", "index": 15864} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Evelyn, Liam, David, Lucas, and Jack. Evelyn said that (Liam is a pioneer or (David is a pioneer and Liam is a laggard and Lucas is a laggard) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 309, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 2], [\"lying\", 1], [\"lying\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"telling-truth\", 1]], [\"->\", [\"and\"... | {"split": "train", "index": 15865} |
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, Lily, Victoria, David, and Oliver. Emily said, \"David is a devil.\" Lily said, \"Emily is a devil.\" Victoria told you that ((David is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 310, \"statements\": [[\"lying\", 3], [\"lying\", 0], [\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"->\", [\"lying\", 0], [\"lying\", 1]]], [\"and\", [\"telling-truth\", 2], [\"and\", [\"tell... | {"split": "train", "index": 15866} |
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, Emily, Avery, Michael, and Harper. Joseph expressed that (if (Joseph is a pioneer or Avery is a laggard) then (Joseph is a laggard)) an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 311, \"statements\": [[\"and\", [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2]], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"l... | {"split": "train", "index": 15867} |
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: Jackson, Sophia, Sofia, Aria, and Lily. \"Sophia is a hero,\" Jackson claimed. Sophia expressed that if (it is not the case that (Jackson is a hero i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 312, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 2]]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"... | {"split": "train", "index": 15868} |
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, Ella, Avery, Owen, and Sofia. Chloe stated, \"if ((Owen is a villain or Avery is a villain or Chloe is a hero) if and only if (Sofia is a vill... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 313, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"tel... | {"split": "train", "index": 15869} |
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: William, Grace, Emma, Jackson, and Joseph. William commented, \"(if (Emma is a laggard and Jackson is a laggard and Grace is a pioneer) then (E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 314, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 1]], [\"not\", [\"lying\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"not\", [\"telling-tr... | {"split": "train", "index": 15870} |
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: Joseph, Riley, Abigail, Matthew, and Elizabeth. Joseph remarked, \"Abigail is a knight if and only if (if (Joseph is a knave) then (Riley is a knight... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 315, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]]], [\"or\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 0]], [\"an... | {"split": "train", "index": 15871} |
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: Isabella, Victoria, Charlotte, Avery, and Amelia. \"it is not the case that (if (Victoria is a devil and Victoria is an angel and Amelia is a devil) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 316, \"statements\": [[\"not\", [\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"lying\", 1], [\"lying\", 2], [\"lying\", 3]]]], [\"or\", [\"or\", [\"lying\", 0], [\"<=>\", [\"lying\", 4]... | {"split": "train", "index": 15872} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Ethan, Ava, Grace, Benjamin, and Olivia. As Ethan put it, \"Grace is a saint or Ava is a sinner\". Ava commented, \"((Grace is a sinner if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 317, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"lying\", 1]], [\"and\", [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 4]]], [\"telli... | {"split": "train", "index": 15873} |
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: Lucas, Mia, Elizabeth, Sophia, and Mason. Lucas said that ((Sophia is a devil if and only if Elizabeth is a devil) and (Mia is a devil if and only if S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 318, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"lying\", 1], [\"lying\", 3]]], [\"<=>\", [\"lying\", 3], [\"not\", [\"telling-truth\", 2]]]], [\"telling-truth\", 0], [\"and\", [... | {"split": "train", "index": 15874} |
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: Avery, Ava, Alexander, Scarlett, and Charlotte. Avery expressed that ((Charlotte is an angel or Scarlett is an angel or Avery is an angel) and (Charlot... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 319, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 2]]], [\"telling-truth\", 4]], [\... | {"split": "train", "index": 15875} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Amelia, Sebastian, Mason, Daniel, and Michael. In a statement by Amelia: \"((Daniel is a hero) or (Sebastian is a villain) or Amelia is a hero) or ((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 320, \"statements\": [[\"or\", [\"or\", [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 0]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"te... | {"split": "train", "index": 15876} |
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: Ava, Liam, Mia, Lily, and Noah. In Ava's words: \"Mia is an altruist or (Mia is an altruist or Lily is an egoist)\". Liam told you that ((Ava i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 321, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"and\", [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"lying\", 2]], ... | {"split": "train", "index": 15877} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jacob, Elizabeth, Alexander, Mia, and Samuel. \"Elizabeth is a knight,\" Jacob claimed. Elizabeth noted, \"(if (Alexander is a knave if and only if J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 322, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"telling-truth\", 2]], [\"lying\", 4], [\"not\", [\"and\"... | {"split": "train", "index": 15878} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Logan, Owen, Sofia, Chloe, and Mia. As Logan put it, \"(it is not the case that (Sofia is a devil or Logan is an angel or Chloe is a devil)) or Chloe i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 323, \"statements\": [[\"or\", [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 3]]], [\"telling-truth\", 3]], [\"lying\", 0], [\"and\", [\"->\", [\"not\", [\"lying\", 0]], [\"telling-truth\", 2]], [\"<=>... | {"split": "train", "index": 15879} |
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: Zoey, Harper, Michael, Aurora, and Sofia. Zoey asserted: \"if ((Aurora is a hero) and (Michael is a hero or Harper is a villain or Zoey is a hero)) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 324, \"statements\": [[\"->\", [\"and\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 0]]], [\"and\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 0], [\"telling-trut... | {"split": "train", "index": 15880} |
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, Elizabeth, Chloe, Samuel, and Grace. Michael stated, \"(it is not the case that (Grace is a fool or Samuel is a sage or Michael is a sage)) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 325, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]]]], [\"not\", [\"or\", [... | {"split": "train", "index": 15881} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Emma, James, Olivia, Zoey, and Isabella. In Emma's words: \"it is not the case that (it is not the case that (Emma is an altruist if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 326, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]]], [\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\... | {"split": "train", "index": 15882} |
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, Logan, Aurora, Ella, and Liam. Noah said that (if Ella is an egoist then (Logan is an egoist)) or (it is not the case that (Liam is an al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 327, \"statements\": [[\"or\", [\"->\", [\"lying\", 3], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 2],... | {"split": "train", "index": 15883} |
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, Sophia, Scarlett, Lily, and Aiden. \"if (it is not the case that (Aiden is a villain if and only if Elizabeth is a hero)) then (Lily is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 328, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"or\", [\"telling-truth\", 3], [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 2]]]], [\"telling-truth\", 2], [\"not\"... | {"split": "train", "index": 15884} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Emily, Alexander, Avery, Daniel, and Charlotte. \"Daniel is a hero\" - Emily. Alexander stated, \"((Charlotte is a hero) and (Charlotte is a villain ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 329, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"and\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"lying\", 3], [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"... | {"split": "train", "index": 15885} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Evelyn, Alexander, Charlotte, Ethan, and Grace. \"Ethan is a knave,\" Evelyn claimed. \"Evelyn is a knight and (Grace is a knight) and ((Grace is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 330, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 0], [\"not\", [\"lying\", 4]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 1]]], [\"->\", [\"lying\", 1], [\"lying\", 3... | {"split": "train", "index": 15886} |
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, Harper, Emma, Benjamin, and Oliver. In William's words: \"((Emma is an altruist) and Harper is an altruist and (Harper is an egoist an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 331, \"statements\": [[\"or\", [\"and\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 1], [\"and\", [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"t... | {"split": "train", "index": 15887} |
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: Scarlett, Noah, Joseph, Lily, and Matthew. Scarlett remarked, \"((if Noah is a fool then Joseph is a fool) if and only if (Matthew is a fool or Matthew is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 332, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"lying\", 1]], [\"not\", [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3], [\"ly... | {"split": "train", "index": 15888} |
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: Aiden, Victoria, Joseph, Scarlett, and Benjamin. In Aiden's words: \"Aiden is an altruist\". Victoria stated, \"((Aiden is an altruist or Scarl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 333, \"statements\": [[\"telling-truth\", 0], [\"or\", [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"lyin... | {"split": "train", "index": 15889} |
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: Isabella, Liam, Jack, Harper, and Emma. Isabella was heard saying, \"if Harper is a pioneer then ((Harper is a laggard and Liam is a laggard an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 334, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]]]],... | {"split": "train", "index": 15890} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Mia, Charlotte, Jacob, Avery, and Owen. Mia asserted: \"Charlotte is a villain or ((Mia is a hero if and only if Jacob is a villain) if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 335, \"statements\": [[\"or\", [\"lying\", 1], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]]], [\"or\", [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]... | {"split": "train", "index": 15891} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Henry, Sofia, Alexander, Mason, and Luke. Henry stated, \"if ((Sofia is an egoist) and Mason is an altruist) then Sofia is an altruist\". Sofia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 336, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 3]], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"and\", [\"or\", [\"telling-truth\", 1... | {"split": "train", "index": 15892} |
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, Aria, Ethan, Aiden, and Olivia. Zoey said, \"((Aiden is a saint or Ethan is a saint) and (Aria is a saint and Olivia is a sinner) and (Ethan is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 337, \"statements\": [[\"or\", [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 3]]], [... | {"split": "train", "index": 15893} |
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, Sebastian, Jacob, Henry, and Ava. Emma remarked, \"(it is not the case that (if Sebastian is a villain then Henry is a villain)) if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 338, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"lying\", 1], [\"lying\", 3]]], [\"and\", [\"or\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 4]], [\"lying\", 1], [\"->\", [\"lying\", 1], [\"lying\", 3]]]], [\"or... | {"split": "train", "index": 15894} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Ella, Mia, Oliver, Samuel, and Emma. Ella expressed that if (Emma is a laggard if and only if (if Mia is a pioneer then Oliver is a laggard)) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 339, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 4], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]]], [\"tel... | {"split": "train", "index": 15895} |
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: Liam, Abigail, Riley, Avery, and Ethan. Liam stated, \"if ((Avery is a laggard) if and only if Avery is a pioneer) then Abigail is a laggard\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 340, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 3]], [\"lying\", 1]], [\"and\", [\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 2]], [\"telling-trut... | {"split": "train", "index": 15896} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Mason, Aurora, Joseph, Owen, and Samuel. Mason commented, \"((Joseph is a villain or Samuel is a hero or Aurora is a hero) and (Joseph is a hero and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 341, \"statements\": [[\"and\", [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"->\"... | {"split": "train", "index": 15897} |
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, Jackson, Henry, Daniel, and Evelyn. Lily expressed that ((if Daniel is a saint then Jackson is a sinner) or Daniel is a saint or (Lily is a sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 342, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 1]], [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"lying\", 1]... | {"split": "train", "index": 15898} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Mia, Chloe, Harper, Owen, and Henry. Mia told you that it is not the case that (it is not the case that (Harper is an altruist if and only if H... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 343, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]]], [\"not\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 0]], [\"or\", [\"lying\", 0], [\"lying\", 3], [\"telling-t... | {"split": "train", "index": 15899} |
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