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 sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Abigail, William, Emily, Isabella, and Aurora. Abigail remarked, \"(if Aurora is a fool then (if Emily is a sage then Isabella is a sage)) and (if (William... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 266, \"statements\": [[\"and\", [\"->\", [\"lying\", 4], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 0], [\"lying\", 1]]]],... | {"split": "train", "index": 13600} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Benjamin, Charlotte, Aria, Harper, and Grace. Benjamin expressed that (Harper is a fool if and only if (Harper is a fool)) and ((Charlotte is a fool) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 267, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 3], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]]]], [\"and\", [\"telling-truth\", 0], [\"or\", [\"->\"... | {"split": "train", "index": 13601} |
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, Scarlett, David, Emily, and Jack. Charlotte asserted: \"((Scarlett is a laggard or Charlotte is a pioneer) if and only if (if Jack i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 268, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1]]]], [\"or\", [\"and\", [\"... | {"split": "train", "index": 13602} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Jacob, Liam, Victoria, Owen, and Jack. Jacob remarked, \"((Liam is a laggard if and only if Owen is a pioneer) and (if Jacob is a pioneer then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 269, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"lying\", 1], [\"lying\", 3]], [\"->\", [\"lying\", 3... | {"split": "train", "index": 13603} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Amelia, Ava, Benjamin, Jack, and Lucas. As Amelia put it, \"(if (Benjamin is a laggard and Lucas is a laggard) then (if Benjamin is a pioneer t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 270, \"statements\": [[\"or\", [\"->\", [\"and\", [\"lying\", 2], [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"lying\", 4]], [\"lying\", 3], [\"<=>\", [\"->\", [\"not\", [\"lying\", 3]], [\"te... | {"split": "train", "index": 13604} |
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, Emma, Jack, Sebastian, and Noah. Samuel said, \"if ((Jack is an altruist or Noah is an altruist) or (Sebastian is an altruist and Emma ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 271, \"statements\": [[\"->\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"te... | {"split": "train", "index": 13605} |
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: Luke, Mia, Ava, Ella, and Victoria. Luke remarked, \"it is not the case that ((Ella is a knight or Mia is a knave) or (Ella is a knight or Ella is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 272, \"statements\": [[\"not\", [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3]]]], [\"<=>\", [\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"->\", [\"lying\",... | {"split": "train", "index": 13606} |
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, Mason, Luke, Henry, and Ava. Noah told you that Mason is a knave if and only if ((Ava is a knave) if and only if (Mason is a knave if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 273, \"statements\": [[\"<=>\", [\"lying\", 1], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 1], [\"lying\", 4]]]], [\"->\", [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"<=>\", [\"not\... | {"split": "train", "index": 13607} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Joseph, Elizabeth, Logan, Grace, and Olivia. Joseph remarked, \"(it is not the case that (Logan is a saint and Grace is a sinner)) and (it is not the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 274, \"statements\": [[\"and\", [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"not\", [\"or\", [\"lying\", 2], [\"lying\", 4]]]], [\"and\", [\"telling-truth\", 2], [\"<=>\", [\"not\", [\"lying\", 2]], [\"and\... | {"split": "train", "index": 13608} |
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: Olivia, Elizabeth, Chloe, Charlotte, and Ethan. Olivia stated, \"if ((Olivia is a hero or Elizabeth is a villain) and Charlotte is a villain) then ((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 275, \"statements\": [[\"->\", [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1]], [\"lying\", 3]], [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]... | {"split": "train", "index": 13609} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: William, Ava, Penelope, Isabella, and Alexander. William said, \"(it is not the case that (Isabella is a sinner or Penelope is a saint)) and Alexande... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 276, \"statements\": [[\"and\", [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"lying\", 4]], [\"and\", [\"<=>\", [\"lying\", 0], [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"lying\"... | {"split": "train", "index": 13610} |
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, Grace, Abigail, Benjamin, and Charlotte. In a statement by Owen: \"Charlotte is a devil or ((Grace is an angel and Charlotte is a devil) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 277, \"statements\": [[\"or\", [\"lying\", 4], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 0]... | {"split": "train", "index": 13611} |
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, Sophia, Evelyn, Logan, and Benjamin. Ava commented, \"Logan is a knight\". In Sophia's words: \"(if (Logan is a knave) then (Logan is a knave if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 278, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"->\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"and\", [\"t... | {"split": "train", "index": 13612} |
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: Luke, Alexander, Aria, Matthew, and Liam. In Luke's words: \"Liam is an angel\". Alexander expressed that Luke is an angel if and only if (Alexander is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 279, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\", 1], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]]], [\"lying\", 1], [\"or\", [\"not\", [\"or\", [\"telling-truth\", 3],... | {"split": "train", "index": 13613} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Olivia, Victoria, Matthew, Emily, and Grace. \"if ((Matthew is a fool if and only if Matthew is a sage) if and only if (Emily is a sage)) then ((Emily is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 280, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2]], [\"not\", [\"lying\", 1]]]], [\"not\", [\"and\... | {"split": "train", "index": 13614} |
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: Matthew, Ava, Zoey, William, and Jackson. Matthew told you that ((Ava is a villain) if and only if (Zoey is a villain and William is a hero)) and ((W... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 281, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 1], [\"telling-truth\", 4]]]], ... | {"split": "train", "index": 13615} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Riley, Benjamin, Scarlett, Alexander, and Matthew. In Riley's words: \"((if Scarlett is a knight then Matthew is a knave) or (Alexander is a knight i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 282, \"statements\": [[\"or\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]]]], [\"and\", [\"<... | {"split": "train", "index": 13616} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Avery, Mia, Victoria, Aurora, and Olivia. Avery noted, \"if (Aurora is a saint if and only if (if Aurora is a saint then Olivia is a saint)) then (Au... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 283, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"lying\", 3], [\"or\", [\"->\"... | {"split": "train", "index": 13617} |
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, Charlotte, Sophia, Luke, and Avery. Elizabeth said, \"Charlotte is a hero and ((if Luke is a hero then Luke is a villain) or (Avery is a v... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 284, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]]]], [\"and\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"a... | {"split": "train", "index": 13618} |
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, Oliver, Henry, Aurora, and Joseph. Owen said that (Henry is an angel and Owen is an angel) or (if Henry is an angel then (if Oliver is an angel t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 285, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]]], [\"lying\", 4], [\"or\", [\"<=>\", [\"->\",... | {"split": "train", "index": 13619} |
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: Emma, Ella, Mia, Liam, and William. Emma told you that Liam is a knave. Ella was heard saying, \"if Mia is a knight then (it is not the case that (Li... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 286, \"statements\": [[\"lying\", 3], [\"->\", [\"telling-truth\", 2], [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]]], [\"or\", [\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 2]], [\"not\", [\"lying\", ... | {"split": "train", "index": 13620} |
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, Avery, Emma, Zoey, and Chloe. Jackson expressed that Avery is a hero. Avery stated, \"if Emma is a hero then (Jackson is a villain)\". In a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 287, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 1], [\"telling-truth\... | {"split": "train", "index": 13621} |
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, Ethan, Oliver, Isabella, and Jackson. \"(it is not the case that (Ethan is an egoist or Isabella is an egoist)) or Isabella is an egois... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 288, \"statements\": [[\"or\", [\"not\", [\"or\", [\"lying\", 1], [\"lying\", 3]]], [\"lying\", 3]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"and\", [\"and\", [\"lying\", 0], [\"lying\", 3]], [\"t... | {"split": "train", "index": 13622} |
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: Riley, Harper, Joseph, Sophia, and William. Riley told you that Harper is a villain. In a statement by Harper: \"(if Riley is a hero then (if Riley i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 289, \"statements\": [[\"lying\", 1], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"->\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [... | {"split": "train", "index": 13623} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Mia, Harper, William, Ella, and Victoria. Mia noted, \"if (Mia is a sage or Ella is a sage) then (Harper is a sage)\". \"if (if (Victoria is a sage) then (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 290, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"not\", [\"lying\", 1]]], [\"->\", [\"->\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"and\", [\"... | {"split": "train", "index": 13624} |
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: Owen, Sebastian, Noah, Ava, and David. \"((Noah is a fool if and only if Ava is a sage) if and only if (Sebastian is a fool if and only if David is a fool)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 291, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 1], [\"lying\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]]]], [\"<=>\", [\"<=>\",... | {"split": "train", "index": 13625} |
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: Sofia, Jackson, Mason, Aurora, and Chloe. Sofia expressed that Aurora is a saint. In a statement by Jackson: \"((if Jackson is a saint then Sofia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 292, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 0]], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"tel... | {"split": "train", "index": 13626} |
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: Owen, Penelope, Oliver, Olivia, and Mason. In Owen's words: \"it is not the case that ((Penelope is a laggard) or (Oliver is a laggard))\". Pen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 293, \"statements\": [[\"not\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]]]], [\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]]],... | {"split": "train", "index": 13627} |
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: Jacob, Mia, Victoria, James, and Luke. Jacob remarked, \"it is not the case that (if (Mia is a sage) then (if Jacob is a sage then Victoria is a fool))\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 294, \"statements\": [[\"not\", [\"->\", [\"not\", [\"lying\", 1]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]]], [\"or\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\", ... | {"split": "train", "index": 13628} |
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: Aiden, Logan, David, Grace, and Jacob. In Aiden's words: \"Grace is a laggard if and only if Logan is a laggard\". \"Aiden is a laggard,\" Loga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 295, \"statements\": [[\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"lying\", 0], [\"and\", [\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 0]]]], [\"not\", ... | {"split": "train", "index": 13629} |
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, James, Daniel, Abigail, and Charlotte. Chloe asserted: \"Abigail is a villain or (James is a villain or (if Daniel is a villain then Chloe is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 296, \"statements\": [[\"or\", [\"lying\", 3], [\"or\", [\"lying\", 1], [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]]], [\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling... | {"split": "train", "index": 13630} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Lily, William, Harper, Matthew, and Chloe. Lily said, \"if (if (Harper is an egoist or William is an altruist) then (Matthew is an altruist or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 297, \"statements\": [[\"->\", [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]]]], [\"->\", [\"an... | {"split": "train", "index": 13631} |
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: Sebastian, Harper, Chloe, Samuel, and William. Sebastian stated, \"(Harper is a saint and (Chloe is a sinner or William is a saint)) if and only if C... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 298, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 1], [\"or\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"telling-truth\", 2]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 3]], [\"not\", [\"no... | {"split": "train", "index": 13632} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Jack, Chloe, Henry, Joseph, and Isabella. Jack stated, \"Henry is a saint\". Chloe expressed that (Isabella is a sinner and (if Isabella is a sinner ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 299, \"statements\": [[\"not\", [\"lying\", 2]], [\"and\", [\"and\", [\"lying\", 4], [\"->\", [\"lying\", 4], [\"lying\", 0]]], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 2]]], [\"not\", [\... | {"split": "train", "index": 13633} |
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: Ava, Liam, Sebastian, Zoey, and Avery. Ava asserted: \"((Zoey is a saint) or (Liam is a saint if and only if Sebastian is a sinner)) if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 300, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"or\", [\"lying\", 1], [\"telling-t... | {"split": "train", "index": 13634} |
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: Penelope, Amelia, Daniel, Olivia, and Victoria. Penelope asserted: \"((Victoria is a knight if and only if Daniel is a knave) or (if Olivia is a knav... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 301, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"not\", [\"telling-truth\", 4]... | {"split": "train", "index": 13635} |
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, William, Joseph, Liam, and Jack. Chloe commented, \"(it is not the case that (Joseph is a fool)) or Chloe is a sage\". In a statement by William: \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 302, \"statements\": [[\"or\", [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-t... | {"split": "train", "index": 13636} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Charlotte, Olivia, Lily, Penelope, and Sofia. Charlotte stated, \"((Lily is a knave) or (Olivia is a knave or Sofia is a knight)) and (Penelope is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 303, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"<=>\", [\"lying\", 3], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]]], [\"<=>\", [\"not\", [\"->\",... | {"split": "train", "index": 13637} |
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: Charlotte, Jacob, Aria, Aiden, and Liam. Charlotte said, \"it is not the case that ((if Liam is a sinner then Aria is a saint) or (Jacob is a sinner ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 304, \"statements\": [[\"not\", [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 1], [\"lying\", 4]]]], [\"->\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"->\", [\"... | {"split": "train", "index": 13638} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Daniel, Oliver, Samuel, Chloe, and Luke. According to Daniel, \"Luke is a saint\". \"Daniel is a saint or Samuel is a sinner,\" Oliver mentioned. As ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 305, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"telling-truth\", 0], [\"lying\", 2]], [\"or\", [\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"not\", ... | {"split": "train", "index": 13639} |
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: Amelia, Mason, Henry, Aiden, and Jacob. Amelia asserted: \"(it is not the case that (Mason is a fool if and only if Henry is a sage)) and Aiden is a fool\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 306, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"lying\", 3]], [\"not\", [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]]]], [\"<=>\", [\"not\", [\"->\", [\"te... | {"split": "train", "index": 13640} |
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: Owen, Mason, Jackson, Amelia, and Lily. Owen was heard saying, \"(if (Lily is a sage and Mason is a fool) then (if Mason is a fool then Lily is a sage)) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 307, \"statements\": [[\"or\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1]], [\"->\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 3], [\"lyi... | {"split": "train", "index": 13641} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Zoey, Jack, Olivia, Benjamin, and Sofia. \"Sofia is a pioneer,\" Zoey declared. Jack commented, \"((Zoey is a pioneer or Sofia is a laggard) an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 308, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]], [\"lying\", 0]], [\"and\", [\"or\", [\"lying\", 2], [\"lying\", 0]], [\"and\", [\"lying\", 3], [\"telling-trut... | {"split": "train", "index": 13642} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: William, Isabella, Noah, Sofia, and Alexander. In William's words: \"Noah is a sage if and only if (it is not the case that (Alexander is a sage if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 309, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]]], [\"not\", [\"lying\", 0]], [\"lying\", 4], [\"or\", [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", ... | {"split": "train", "index": 13643} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Alexander, Henry, Lucas, Lily, and Mia. In Alexander's words: \"(Alexander is a pioneer and (Alexander is a pioneer if and only if Lily is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 310, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"not\", [\"lying\", 4]]]], [\"not\", [\"or\", [\"<=>\",... | {"split": "train", "index": 13644} |
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: Lucas, Emma, Jack, Noah, and Chloe. Lucas was heard saying, \"Noah is a sage\". In a statement by Emma: \"(if (if Noah is a fool then Chloe is a fool) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 311, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-trut... | {"split": "train", "index": 13645} |
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: Harper, Zoey, Ava, James, and Henry. \"(it is not the case that (James is a fool or Zoey is a sage)) and ((James is a fool if and only if Ava is a sage) an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 312, \"statements\": [[\"and\", [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]]], [\"not\", [\"or\", ... | {"split": "train", "index": 13646} |
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, Mason, Jack, David, and Daniel. \"if Matthew is a saint then (David is a saint or (Matthew is a saint if and only if Mason is a sinner)),\" ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 313, \"statements\": [[\"->\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]]]], [\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"lying\", 4]... | {"split": "train", "index": 13647} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Mason, Jackson, Mia, Noah, and Matthew. In Mason's words: \"((Noah is a sage and Mia is a sage) if and only if Mia is a sage) if and only if Noah is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 314, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"telling-truth\", 2]], [\"telling-truth\", 3]], [\"->\", [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"no... | {"split": "train", "index": 13648} |
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: Penelope, Mason, Sophia, Grace, and Benjamin. Penelope told you that Mason is a laggard. \"((if Grace is a laggard then Sophia is a pioneer) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 315, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"and\", [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]]... | {"split": "train", "index": 13649} |
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: Aria, Mia, Chloe, Benjamin, and Abigail. As Aria put it, \"Benjamin is a saint\". Mia noted, \"((Mia is a sinner) if and only if (Abigail is a sinner... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 316, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"lying\", 0]]], [\"telling-truth\", 3]], [\"lying\", 0], [\"or\", [\"<=>\", [\"->\", [\"telling-tr... | {"split": "train", "index": 13650} |
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, Daniel, Mia, Abigail, and Matthew. \"(Lily is a knight or (Matthew is a knave)) or (if Matthew is a knight then (Mia is a knight and Daniel is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 317, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 2], [\"lying\", 1]]]], [\"telling-truth\", 1], [\"->\", [\"or\"... | {"split": "train", "index": 13651} |
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: Avery, Lucas, Matthew, Ava, and Benjamin. Avery asserted: \"((Ava is a knight if and only if Lucas is a knight) if and only if (Ava is a knave and Be... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 318, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"and\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\... | {"split": "train", "index": 13652} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Lucas, Sebastian, Michael, Henry, and Evelyn. Lucas was heard saying, \"it is not the case that ((Henry is a saint or Sebastian is a sinner) and (Eve... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 319, \"statements\": [[\"not\", [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"lying\", 4], [\"lying\", 1]]]], [\"or\", [\"and\", [\"->\", [\"lying\", 0], [\"lying\", 4]], [\"lying\", 4]], [\"telling-t... | {"split": "train", "index": 13653} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Grace, Liam, Lily, Sebastian, and Jacob. Grace asserted: \"(it is not the case that (Sebastian is a sinner)) if and only if (it is not the case that ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 320, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]]], [\"telling-truth\", 4], [\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 0]]]... | {"split": "train", "index": 13654} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Victoria, Sofia, Joseph, Mia, and Isabella. \"Isabella is a laggard if and only if (Isabella is a laggard and (Joseph is a laggard or Isabella ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 321, \"statements\": [[\"<=>\", [\"lying\", 4], [\"and\", [\"lying\", 4], [\"or\", [\"lying\", 2], [\"telling-truth\", 4]]]], [\"and\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 1]... | {"split": "train", "index": 13655} |
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: Amelia, Ava, James, Lucas, and Jacob. Amelia asserted: \"((Ava is an egoist and Lucas is an altruist) and (if Jacob is an altruist then Lucas i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 322, \"statements\": [[\"or\", [\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"tel... | {"split": "train", "index": 13656} |
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, Aria, Owen, Henry, and Sebastian. Aurora said that it is not the case that (if Henry is an angel then (Aria is an angel or Owen is a devil)). A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 323, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 1], [\"lying\", 2]]]], [\"<=>\", [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"not\", [\"lying\", 3]]], [\"<=>\", [... | {"split": "train", "index": 13657} |
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: Grace, Ella, Mason, Oliver, and Logan. \"Ella is a knight,\" Grace mentioned. In a statement by Ella: \"Mason is a knave if and only if ((Ella is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 324, \"statements\": [[\"not\", [\"lying\", 1]], [\"<=>\", [\"lying\", 2], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]]]], [\"lying\", 0], [\"or... | {"split": "train", "index": 13658} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Olivia, Oliver, Luke, Alexander, and Sofia. Olivia was heard saying, \"Sofia is a sinner\". Oliver remarked, \"Luke is a saint\". As Luke put it, \"i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 325, \"statements\": [[\"lying\", 4], [\"telling-truth\", 2], [\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 0]], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]... | {"split": "train", "index": 13659} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Harper, Chloe, Avery, Ethan, and Samuel. According to Harper, \"((Ethan is an altruist) and (if Samuel is an egoist then Samuel is an altruist)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 326, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]], [\"->\", [\"telling-truth\", 0], [\"telling-tru... | {"split": "train", "index": 13660} |
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: Sofia, Victoria, Chloe, Isabella, and Alexander. Sofia said that ((Isabella is a knave if and only if Isabella is a knight) and (if Victoria is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 327, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"te... | {"split": "train", "index": 13661} |
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, Scarlett, Emma, Aurora, and Liam. Chloe noted, \"(it is not the case that (Scarlett is a sage)) or (it is not the case that (Emma is a fool if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 328, \"statements\": [[\"or\", [\"not\", [\"not\", [\"lying\", 1]]], [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]]]], [\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"->\", [\"and\", [\"... | {"split": "train", "index": 13662} |
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, Logan, Victoria, Olivia, and Henry. Aiden told you that (it is not the case that (Aiden is an angel and Olivia is a devil)) if and only if (if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 329, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 0], [\"lying\", 2]]]], [\"->\", [\"<=>\", [... | {"split": "train", "index": 13663} |
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: James, Matthew, Riley, Jackson, and Elizabeth. James expressed that it is not the case that (it is not the case that (Riley is a sage if and only if Jackso... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 330, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]]], [\"and\", [\"lying\", 4], [\"<=>\", [\"not\", [\"lying\", 0]], [\"telling-truth\", 2]]], [\"telling-truth\", 4], [\"->\", [... | {"split": "train", "index": 13664} |
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, Samuel, Oliver, Benjamin, and Matthew. Logan commented, \"(if (Oliver is a pioneer) then (if Matthew is a pioneer then Benjamin is a lag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 331, \"statements\": [[\"or\", [\"->\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"not\", [\"and\", [\"lying\", 4], [\"lying\", 3]]]], [\"and\", [\"lying\", 3], [\"->\", [\"not\", [\"lying... | {"split": "train", "index": 13665} |
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: James, Charlotte, Jack, Emma, and Penelope. James remarked, \"((James is a pioneer or Charlotte is a pioneer) or Emma is a pioneer) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 332, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"telling-truth\", 3]], [\"telling-truth\", 1]], [\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]],... | {"split": "train", "index": 13666} |
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, Jack, Grace, Penelope, and Aria. Harper stated, \"if ((Jack is a knave and Aria is a knave) if and only if (Jack is a knave)) then (if Penelo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 333, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"lying\", 3], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]]]], [\"lying\", 3], [\"n... | {"split": "train", "index": 13667} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Abigail, Grace, Logan, Harper, and Owen. \"((Grace is a devil if and only if Harper is an angel) if and only if Grace is an angel) and (Harper is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 334, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth... | {"split": "train", "index": 13668} |
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, Jack, Ethan, Samuel, and Olivia. \"if (it is not the case that (Ethan is a knight)) then (if (Jacob is a knight if and only if Ethan is a knig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 335, \"statements\": [[\"->\", [\"not\", [\"not\", [\"lying\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"lying\", 1]]]], [\"not\", [\"or\", [\"and\", [\"telling-trut... | {"split": "train", "index": 13669} |
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: Henry, Matthew, Isabella, Evelyn, and Ava. Henry asserted: \"if ((Ava is a fool and Isabella is a sage) if and only if (if Ava is a fool then Isabella is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 336, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]], [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3]], [\"not\", [\"lying\", 1... | {"split": "train", "index": 13670} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aria, James, Isabella, Jack, and Amelia. Aria expressed that Amelia is an altruist. James commented, \"Isabella is an egoist\". Isabella expres... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 337, \"statements\": [[\"telling-truth\", 4], [\"lying\", 2], [\"->\", [\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 0]], [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"or\", [\"or\", [\"lying\", 0], [\"telling-truth\"... | {"split": "train", "index": 13671} |
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, Jackson, Avery, Ella, and Zoey. \"if ((Zoey is a laggard or Jackson is a laggard) or (Zoey is a laggard)) then ((Jackson is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 338, \"statements\": [[\"->\", [\"or\", [\"or\", [\"lying\", 4], [\"lying\", 1]], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"lyi... | {"split": "train", "index": 13672} |
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, Sofia, Luke, William, and Matthew. In a statement by Jack: \"((Sofia is a villain) or (Matthew is a villain or Sofia is a hero)) or ((Luke is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 339, \"statements\": [[\"or\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], [\"tell... | {"split": "train", "index": 13673} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Olivia, Emma, James, Lucas, and Benjamin. \"(if Olivia is a saint then (Lucas is a saint and Benjamin is a sinner)) or ((James is a saint if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 340, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"telling-truth\", 3]]], [\"lying\", 2],... | {"split": "train", "index": 13674} |
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: Oliver, Harper, James, Charlotte, and Ella. Oliver said, \"if (it is not the case that (James is a saint and Charlotte is a sinner)) then ((Oliver is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 341, \"statements\": [[\"->\", [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]]], [\"<... | {"split": "train", "index": 13675} |
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, Alexander, Benjamin, Matthew, and Harper. In Lucas's words: \"(if (Alexander is a pioneer and Harper is a laggard) then (if Benjamin is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 342, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"telling-truth... | {"split": "train", "index": 13676} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Penelope, David, Charlotte, Owen, and Zoey. Penelope noted, \"Charlotte is a saint\". David expressed that Penelope is a saint. \"((if Penelope is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 343, \"statements\": [[\"telling-truth\", 2], [\"telling-truth\", 0], [\"and\", [\"and\", [\"->\", [\"lying\", 0], [\"lying\", 1]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"telling-trut... | {"split": "train", "index": 13677} |
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, Evelyn, Chloe, Lucas, and Benjamin. Aurora noted, \"Benjamin is a sinner\". According to Evelyn, \"Benjamin is a sinner\". \"it is not the ca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 344, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"lying\", 4], [\"not\", [\"<=>\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]]]], [\"<=>\", [\"->\", [\"telling... | {"split": "train", "index": 13678} |
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: Avery, Owen, Matthew, Emily, and Sofia. Avery stated, \"if (if (if Owen is a fool then Emily is a fool) then (if Emily is a fool then Owen is a fool)) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 345, \"statements\": [[\"->\", [\"->\", [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"lying\", 1]]], [\"telling-truth\", 3]], [\"<=>\", [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"not\", [\"l... | {"split": "train", "index": 13679} |
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, Avery, Zoey, Joseph, and Mia. \"((Zoey is a hero or Mia is a hero) or Avery is a villain) if and only if Mia is a hero\" - Lily. Avery commente... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 346, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"lying\", 1]], [\"telling-truth\", 4]], [\"<=>\", [\"not\", [\"not\", [\"lying\", 0]]], [\"->\", [\"->\", [\"telling-truth\",... | {"split": "train", "index": 13680} |
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, Liam, Daniel, Ava, and Alexander. Chloe said that ((Chloe is a knight if and only if Liam is a knave) or (if Ava is a knave then Ava is a knig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 347, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]]]], [\"<=>\", [\... | {"split": "train", "index": 13681} |
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: Victoria, Sofia, Avery, Isabella, and Noah. \"(Isabella is a saint or (Sofia is a sinner or Avery is a saint)) or (it is not the case that (Avery is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 348, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"or\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]]], [\"->\", [\"<=>\", [\"not\", [\"telling-... | {"split": "train", "index": 13682} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Liam, Ella, Amelia, Grace, and Elizabeth. In a statement by Liam: \"((Ella is an altruist or Liam is an altruist) or (Grace is an altruist or A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 349, \"statements\": [[\"and\", [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]]], [\"not... | {"split": "train", "index": 13683} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Michael, Samuel, Jack, Ella, and Luke. As Michael put it, \"if Jack is a laggard then (Samuel is a pioneer or Luke is a laggard)\". Samuel said... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 350, \"statements\": [[\"->\", [\"lying\", 2], [\"or\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"or\", [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]], [\"lying\", 3]], [\"<=>\", [\"->\", [\"telling-truth\", 4], ... | {"split": "train", "index": 13684} |
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: Sebastian, Logan, Lily, Aiden, and Chloe. Sebastian said that Aiden is a sage. Logan told you that ((Chloe is a fool if and only if Aiden is a sage) and (S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 351, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"l... | {"split": "train", "index": 13685} |
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, Aria, Joseph, Sebastian, and Olivia. Elizabeth remarked, \"if (if (Joseph is a knight or Sebastian is a knave) then Joseph is a knight) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 352, \"statements\": [[\"->\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]], [\"telling-truth\", 2]], [\"lying\", 3]], [\"telling-truth\", 2], [\"and\", [\"lying\", 1], [\"telling-truth\", 1]], [\"or\", [\"or\", [... | {"split": "train", "index": 13686} |
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, Aria, Mason, Aiden, and Joseph. \"if (if (Aria is a pioneer) then (if Aiden is a pioneer then Aria is a pioneer)) then ((Aria is a pione... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 353, \"statements\": [[\"->\", [\"->\", [\"not\", [\"lying\", 1]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"and\", [\"lying\", 1], [\"lyi... | {"split": "train", "index": 13687} |
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, Jacob, Henry, James, and Emma. \"Henry is an angel or ((James is an angel and Jacob is an angel) and (if Mia is an angel then Jacob is an angel)),... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 354, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]]], [\"->\", [\"or\", [\"<=>\", [\"telling-tru... | {"split": "train", "index": 13688} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sebastian, Aiden, Lily, Victoria, and Matthew. \"Aiden is a knight and (it is not the case that (Aiden is a knave and Aiden is a knight)),\" Sebastia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 355, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1]]]], [\"and\", [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"and\", [\"lying\", 3], [\"... | {"split": "train", "index": 13689} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Oliver, Charlotte, Samuel, Emily, and Jack. Oliver expressed that (if (if Emily is an angel then Emily is a devil) then (if Charlotte is an angel then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 356, \"statements\": [[\"and\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"lying\", 3]], [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 3], [\"... | {"split": "train", "index": 13690} |
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, William, Luke, Harper, and Oliver. Isabella told you that it is not the case that (it is not the case that (William is a fool or Oliver is a fool... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 357, \"statements\": [[\"not\", [\"not\", [\"or\", [\"lying\", 1], [\"lying\", 4]]]], [\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"or\", [\"lying\", 0], [\"lying\", 3]]], [\"not\", [\"<=>\", ... | {"split": "train", "index": 13691} |
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, Luke, Amelia, Lily, and Owen. \"(Elizabeth is a knight or (Elizabeth is a knave)) or (Luke is a knave),\" Elizabeth claimed. \"Owen is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 358, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"telling-truth\", 4], [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4]... | {"split": "train", "index": 13692} |
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, Benjamin, Henry, Elizabeth, and Lucas. \"if ((Avery is an egoist) or (Lucas is an altruist or Henry is an egoist)) then ((Benjamin is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 359, \"statements\": [[\"->\", [\"or\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2]... | {"split": "train", "index": 13693} |
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, Daniel, Sofia, Avery, and Alexander. As Matthew put it, \"Sofia is a fool\". Daniel said that Sofia is a sage if and only if (it is not the case t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 360, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]]], [\"and\", [\"not\", [\"not\", [\"lying\", 4]]], [\"and\", [\"<=>\", [\"l... | {"split": "train", "index": 13694} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Emma, Isabella, Avery, Alexander, and Charlotte. Emma was heard saying, \"it is not the case that (it is not the case that (Alexander is a lagg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 361, \"statements\": [[\"not\", [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 1]]]], [\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4]]]], [\"tellin... | {"split": "train", "index": 13695} |
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: Owen, Emma, Elizabeth, Sebastian, and Evelyn. Owen asserted: \"if ((Emma is a hero and Emma is a villain) or (Emma is a hero or Owen is a hero)) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 362, \"statements\": [[\"->\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"ly... | {"split": "train", "index": 13696} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Grace, Alexander, Scarlett, Michael, and Avery. \"it is not the case that ((Michael is a sinner if and only if Scarlett is a saint) or (Michael is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 363, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"lying\", 1]]]], [\"->\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"<=>\", [\... | {"split": "train", "index": 13697} |
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, Sophia, Michael, Ava, and Grace. \"if Grace is a knight then (if Michael is a knave then (Sophia is a knave if and only if Michael is a kna... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 364, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"->\", [\"lying\", 2], [\"<=>\", [\"lying\", 1], [\"lying\", 2]]]], [\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"or\", [\"telling-truth\", 0... | {"split": "train", "index": 13698} |
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, Samuel, Ava, Matthew, and Riley. Elizabeth said that ((Ava is a devil and Ava is an angel) or Samuel is a devil) and ((Riley is a devil and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 365, \"statements\": [[\"and\", [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2]], [\"lying\", 1]], [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"telling-truth\", 4]]]], [\"-... | {"split": "train", "index": 13699} |
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