data_source stringclasses 1
value | prompt stringlengths 657 2.81k | ability stringclasses 1
value | reward_model stringlengths 1.3k 5.51k | extra_info stringlengths 30 34 |
|---|---|---|---|---|
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mason, Henry, Samuel, Sophia, and Emily. Mason stated, \"if (it is not the case that (Henry is a knave or Samuel is a knight or Emily is a knave)) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2044, \"statements\": [[\"->\", [\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2], [\"lying\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 3]]]], [\"and\", [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3], ... | {"split": "train", "index": 17600} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Jack, Benjamin, Ella, Liam, and Daniel. Jack said, \"((Liam is a sage if and only if Ella is a fool) and Ella is a fool and (Benjamin is a fool)) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2045, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"lying\", 2], [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"not\", [\"tellin... | {"split": "train", "index": 17601} |
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, Jacob, Mason, Ava, and Sofia. Henry asserted: \"if Henry is an altruist then ((Sofia is an altruist and Henry is an altruist) or (Jacob ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2046, \"statements\": [[\"->\", [\"telling-truth\", 0], [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 1]]]], [\"->\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-tr... | {"split": "train", "index": 17602} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: David, Alexander, Jackson, Daniel, and Evelyn. David commented, \"(if (Alexander is an altruist and Evelyn is an altruist and David is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2047, \"statements\": [[\"and\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"or\", [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 3]]], [\"or\", [\"lying\", 1], [\"not\",... | {"split": "train", "index": 17603} |
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, Owen, Sophia, Jack, and Luke. William said, \"(if (if William is a saint then Jack is a saint) then (if Owen is a saint then Owen is a sinne... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2048, \"statements\": [[\"and\", [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0]], [\"and\", [\"tel... | {"split": "train", "index": 17604} |
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, Isabella, Noah, Jackson, and Ethan. In a statement by Charlotte: \"Noah is a saint\". \"(if (Noah is a saint and Isabella is a saint) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2049, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3]... | {"split": "train", "index": 17605} |
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, Benjamin, Sofia, Penelope, and Owen. Grace told you that ((Benjamin is a knight or Owen is a knight) or (Penelope is a knave or Owen is a knig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2050, \"statements\": [[\"or\", [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\",... | {"split": "train", "index": 17606} |
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: Jackson, Mia, Sophia, Chloe, and Sofia. \"((if Sophia is an angel then Sophia is a devil) and (Jackson is a devil) and (Sofia is an angel or Sophia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2051, \"statements\": [[\"or\", [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 0]]], [\"or\", [\"<=>\", [\"ly... | {"split": "train", "index": 17607} |
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, Olivia, Victoria, Owen, and Elizabeth. \"Olivia is a villain or Owen is a villain or (Owen is a villain or (Owen is a villain if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2052, \"statements\": [[\"or\", [\"lying\", 1], [\"lying\", 3], [\"or\", [\"lying\", 3], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]]]], [\"->\", [\"<=>\", [\"<=>\", [\"lying\", 0], [\"telling-t... | {"split": "train", "index": 17608} |
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: Emily, Ella, Grace, Harper, and Sophia. Emily commented, \"Harper is a knave\". \"(it is not the case that (if Harper is a knight then Ella is a knig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2053, \"statements\": [[\"lying\", 3], [\"and\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]]], [\"n... | {"split": "train", "index": 17609} |
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: William, Sebastian, Owen, James, and Riley. As William put it, \"it is not the case that (it is not the case that (Riley is a knight if and only if J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2054, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]]], [\"->\", [\"telling-truth\", 0], [\"->\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]]], ... | {"split": "train", "index": 17610} |
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, Samuel, Penelope, Noah, and Emily. In Lily's words: \"(Samuel is an egoist if and only if (Noah is an egoist or Samuel is an egoist or Em... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2055, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 1], [\"or\", [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]... | {"split": "train", "index": 17611} |
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, Ava, Sofia, Harper, and Olivia. Jacob remarked, \"it is not the case that ((if Sofia is a fool then Olivia is a sage) or (Harper is a fool))\". Acco... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2056, \"statements\": [[\"not\", [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 3]]]], [\"lying\", 0], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 4]]], [\... | {"split": "train", "index": 17612} |
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: Ella, Avery, Ava, Jacob, and Grace. In a statement by Ella: \"if Jacob is a knight then (if (if Avery is a knave then Ava is a knave) then Ella is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2057, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"->\", [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"telling-truth\", 0]]], [\"or\", [\"lying\", 0], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2]], [\"not\",... | {"split": "train", "index": 17613} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Noah, Abigail, Sebastian, Mason, and Sofia. According to Noah, \"((Sofia is an angel or Sebastian is an angel) or (Sebastian is a devil) or (if Sofia i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2058, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"telling-truth\", 1... | {"split": "train", "index": 17614} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Sophia, Ella, Aiden, Mason, and Avery. Sophia said, \"(if (if Sophia is a sage then Aiden is a fool) then Mason is a fool) and ((Mason is a fool) and (Aver... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2059, \"statements\": [[\"and\", [\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 2]], [\"lying\", 3]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"t... | {"split": "train", "index": 17615} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Aria, Alexander, Victoria, Daniel, and Henry. In a statement by Aria: \"(if (Henry is a villain) then (Victoria is a hero and Alexander is a hero)) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2060, \"statements\": [[\"or\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 2], [\"lying\", 4]]]], [\"... | {"split": "train", "index": 17616} |
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: Emily, Penelope, Ethan, Grace, and Logan. Emily asserted: \"(if (if Logan is a knave then Ethan is a knave) then (Grace is a knave if and only if Eth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2061, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"lying\", 3], [\"lying\", 1... | {"split": "train", "index": 17617} |
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, Sophia, Avery, Luke, and Jacob. \"Avery is a knight\" - Scarlett. Sophia said, \"Avery is a knight.\" \"((Luke is a knave) if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2062, \"statements\": [[\"telling-truth\", 2], [\"telling-truth\", 2], [\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-trut... | {"split": "train", "index": 17618} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Mia, Evelyn, Ella, Isabella, and Jacob. Mia expressed that ((Jacob is a saint if and only if Evelyn is a sinner) if and only if (Evelyn is a saint)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2063, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]], [\"not\", [\"lying\", 1]]], [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1]], [\"telling-truth\", 1]]], [\"telling-truth\",... | {"split": "train", "index": 17619} |
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, Owen, Riley, Henry, and Chloe. Mason said, \"(it is not the case that (if Mason is a sage then Henry is a fool)) and ((Riley is a fool and Mason is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2064, \"statements\": [[\"and\", [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"and\", [\"... | {"split": "train", "index": 17620} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Sophia, Ella, Michael, Abigail, and Scarlett. Sophia said that Michael is a sage and ((Abigail is a sage) and (if Ella is a fool then Michael is a fool)). ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2065, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"and\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 1], [\"lying\", 2]]]], [\"or\", [\"or\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"lying\"... | {"split": "train", "index": 17621} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Victoria, Mia, Emily, Ella, and Matthew. In Victoria's words: \"(if (Mia is an altruist or Matthew is an egoist or Victoria is an altruist) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2066, \"statements\": [[\"or\", [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]], ... | {"split": "train", "index": 17622} |
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: James, Joseph, Emily, Benjamin, and Jacob. James told you that Benjamin is an altruist. Joseph expressed that (if Emily is an egoist then (if B... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2067, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"->\", [\"lying\", 2], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]]], [\"or\", [\"->\", [\"<=>... | {"split": "train", "index": 17623} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Owen, Mason, Ava, Zoey, and Olivia. Owen said that it is not the case that (if (Ava is an egoist and Olivia is an altruist) then (if Ava is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2068, \"statements\": [[\"not\", [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]]], [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 0], [\"->\", ... | {"split": "train", "index": 17624} |
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, Oliver, Samuel, Amelia, and William. As Sofia put it, \"if (if (Amelia is a hero or Samuel is a villain or Samuel is a hero) then (Samuel is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2069, \"statements\": [[\"->\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"lying\", 2], [\"lying\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]],... | {"split": "train", "index": 17625} |
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: Aurora, Scarlett, Isabella, Mason, and Michael. Aurora said, \"if Isabella is a sage then (if (Mason is a sage and Isabella is a sage and Scarlett is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2070, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 3]]... | {"split": "train", "index": 17626} |
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: Harper, Alexander, Owen, Noah, and Benjamin. In a statement by Harper: \"Benjamin is a devil and ((Noah is an angel) and Alexander is a devil)\". Alexa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2071, \"statements\": [[\"and\", [\"lying\", 4], [\"and\", [\"not\", [\"lying\", 3]], [\"lying\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"or\", [\"telling-... | {"split": "train", "index": 17627} |
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, James, Scarlett, Aiden, and Ava. Jackson asserted: \"((Aiden is a fool if and only if Aiden is a sage) and Aiden is a sage and Ava is a fool) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2072, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"telling-truth\", 3], [\"lying\", 4]], [\"telling-truth\", 0]], [\"and\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-tr... | {"split": "train", "index": 17628} |
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, Scarlett, Emily, Elizabeth, and Ethan. Isabella commented, \"if (Ethan is a knight or (if Elizabeth is a knave then Emily is a knight)) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2073, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 4], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"telli... | {"split": "train", "index": 17629} |
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: Sebastian, Riley, Zoey, Owen, and Amelia. Sebastian told you that ((Owen is a laggard or Riley is a pioneer or Owen is a pioneer) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2074, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"telling-truth\", 1]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"lyin... | {"split": "train", "index": 17630} |
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, William, Ella, Luke, and Zoey. James was heard saying, \"Luke is a pioneer\". In William's words: \"(James is a laggard if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2075, \"statements\": [[\"not\", [\"lying\", 3]], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"lying\", 2], [\"lying\", 0]]]], [\"lying\", 0], [\"and\", [\"and\", [\"<=>\", [\"l... | {"split": "train", "index": 17631} |
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, Victoria, Jacob, Ethan, and Sofia. \"Sofia is a saint\" - Jack. According to Victoria, \"Jacob is a sinner\". In Jacob's words: \"it is not the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2076, \"statements\": [[\"telling-truth\", 4], [\"lying\", 2], [\"not\", [\"->\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 0]]]], [\"and\", [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"te... | {"split": "train", "index": 17632} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, Avery, Samuel, Scarlett, and Emma. Lucas asserted: \"if ((Scarlett is a knave if and only if Avery is a knight) or Scarlett is a knave or (Sam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2077, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"lying\", 3], [\"not\", [\"lying\", 2]]], [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"and\... | {"split": "train", "index": 17633} |
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, Ella, Logan, Jacob, and Lucas. According to Noah, \"if Lucas is a villain then ((Ella is a hero if and only if Logan is a hero) if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2078, \"statements\": [[\"->\", [\"lying\", 4], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]]], [\"or\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"or\", [... | {"split": "train", "index": 17634} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Liam, Sebastian, Aria, Aurora, and Abigail. In a statement by Liam: \"Aurora is a villain and (if (Aria is a hero) then (if Abigail is a villain then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2079, \"statements\": [[\"and\", [\"lying\", 3], [\"->\", [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"<=>\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]]], [\"... | {"split": "train", "index": 17635} |
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, Elizabeth, Scarlett, Emma, and Alexander. According to William, \"(if Elizabeth is a devil then (Scarlett is an angel)) and ((Alexander is a d... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2080, \"statements\": [[\"and\", [\"->\", [\"lying\", 1], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]... | {"split": "train", "index": 17636} |
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, Victoria, Luke, Zoey, and Aria. Harper stated, \"Luke is an egoist\". \"((Victoria is an egoist) and (if Luke is an altruist then Luke ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2081, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"or\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"l... | {"split": "train", "index": 17637} |
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, Chloe, Lucas, Sebastian, and Amelia. Emily expressed that Chloe is a villain. \"if ((Lucas is a villain) and (Lucas is a hero if and only if A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2082, \"statements\": [[\"lying\", 1], [\"->\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 0], [\"telling-truth\", 1... | {"split": "train", "index": 17638} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Matthew, Avery, Scarlett, Charlotte, and Oliver. In a statement by Matthew: \"it is not the case that ((if Avery is an altruist then Scarlett i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2083, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]]]], [\"lying\", 3], [\"->\", [\"->\", [\"not\", [\"telling-truth\", 2... | {"split": "train", "index": 17639} |
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, James, Chloe, Charlotte, and Victoria. Michael said that ((Michael is a sage or Victoria is a fool) and (if Chloe is a sage then Michael is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2084, \"statements\": [[\"and\", [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"lying\", 1]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-trut... | {"split": "train", "index": 17640} |
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, Scarlett, Matthew, Harper, and Ella. Ava remarked, \"(it is not the case that (if Ella is a knight then Matthew is a knave)) and ((if Scarlett i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2085, \"statements\": [[\"and\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"telling-truth\", 3]... | {"split": "train", "index": 17641} |
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: Abigail, Chloe, Benjamin, Zoey, and Ella. Abigail told you that Chloe is an altruist. Chloe told you that Ella is an egoist and (it is not the ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2086, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"lying\", 4], [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"te... | {"split": "train", "index": 17642} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Aurora, Michael, Grace, Sophia, and Aria. Aurora noted, \"((Sophia is a pioneer if and only if Aria is a laggard) and Grace is a pioneer) or (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2087, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"telling-truth\", 2]], [\"->\", [\"not\", [\"lying\", 4]], [\"not\", [\"lying\", 3]]]], [\"or\", [\"or\", [\"and\", [\"telling-trut... | {"split": "train", "index": 17643} |
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: Evelyn, Lucas, Isabella, Harper, and Emily. Evelyn was heard saying, \"if ((Lucas is a saint and Lucas is a sinner) and (Harper is a saint) and (Isab... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2088, \"statements\": [[\"->\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1]], [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [\"lying\", 1], [\"... | {"split": "train", "index": 17644} |
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, Ava, Ethan, Isabella, and Avery. \"(Isabella is a villain or (Isabella is a hero and Ava is a villain and Ava is a hero) or (Isabella is a hero... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2089, \"statements\": [[\"or\", [\"or\", [\"lying\", 3], [\"and\", [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"or\", [\"lying\", 3], [\"not\", [\"tell... | {"split": "train", "index": 17645} |
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: Abigail, Amelia, Evelyn, Aurora, and Daniel. \"if ((Evelyn is a pioneer) if and only if (Abigail is a pioneer if and only if Daniel is a pionee... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2090, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 1]]]], [\"not\", [\"<=>\",... | {"split": "train", "index": 17646} |
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, Scarlett, Penelope, Joseph, and Sofia. As Lucas put it, \"Sofia is a hero\". \"(if (Lucas is a villain or Scarlett is a hero or Penelope is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2091, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"->\", [\"or\", [\"lying\", 0], [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"->\", [\"lying\", 0], [\"lying\", 2]]], [\"and\", [\"not\", [\"lying\", 0]], [\"not\... | {"split": "train", "index": 17647} |
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, Isabella, Ava, Chloe, and Luke. Avery commented, \"(Luke is a fool) or ((Avery is a sage and Luke is a sage and Chloe is a sage) and (Ava is a sage ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2092, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"lyin... | {"split": "train", "index": 17648} |
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: Aurora, Liam, Amelia, Sofia, and Sebastian. Aurora was heard saying, \"(it is not the case that (Liam is a sage if and only if Amelia is a fool)) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2093, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"or\", [\"->\", [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"not\", [\"lying\", 1]]]], ... | {"split": "train", "index": 17649} |
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: David, Riley, Liam, Abigail, and Sebastian. David remarked, \"Riley is a knave or (it is not the case that (Sebastian is a knave)) or ((Riley is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2094, \"statements\": [[\"or\", [\"lying\", 1], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"or\", [\"lying\", 1], [\"lying\", 3]], [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]]], [\... | {"split": "train", "index": 17650} |
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, Harper, Sebastian, Aria, and Abigail. \"Aria is a saint if and only if ((Aria is a saint if and only if Abigail is a saint) or (if Harper is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2095, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"lying\", 1], [\"telling-truth\", 4]]]], [\"<=>\", [\"or\", [\"not\", [\"lying\", 4]], [\"... | {"split": "train", "index": 17651} |
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: Luke, Amelia, Sofia, Liam, and Elizabeth. Luke noted, \"(it is not the case that (Sofia is a saint)) or (if (Amelia is a sinner or Elizabeth is a sin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2096, \"statements\": [[\"or\", [\"not\", [\"not\", [\"lying\", 2]]], [\"->\", [\"or\", [\"lying\", 1], [\"lying\", 4], [\"lying\", 3]], [\"lying\", 4]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"... | {"split": "train", "index": 17652} |
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, Oliver, Harper, Ethan, and Noah. Jack noted, \"((Noah is a villain and Noah is a hero) if and only if (Ethan is a hero and Oliver is a hero)) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2097, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3], [\"telling-tr... | {"split": "train", "index": 17653} |
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, Logan, Ava, Luke, and Joseph. In a statement by Sebastian: \"((Logan is a knave or Joseph is a knight or Joseph is a knave) if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2098, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3... | {"split": "train", "index": 17654} |
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: Liam, Abigail, Ella, Aria, and Riley. Liam asserted: \"Riley is a saint\". According to Abigail, \"Liam is a sinner\". Ella commented, \"Riley is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2099, \"statements\": [[\"telling-truth\", 4], [\"lying\", 0], [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 2], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]], [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"... | {"split": "train", "index": 17655} |
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: Riley, Aria, Zoey, Scarlett, and Harper. Riley was heard saying, \"Aria is a sinner\". Aria commented, \"if ((Zoey is a saint) if and only if (if Ari... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2100, \"statements\": [[\"lying\", 1], [\"->\", [\"<=>\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"telling-truth\", 4]], [\"or\", [\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", ... | {"split": "train", "index": 17656} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Samuel, Matthew, Emma, Ella, and Penelope. \"((Ella is a knave and Samuel is a knight and Emma is a knight) if and only if (Penelope is a knave and M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2101, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"and\", [\"lying\", 4], [\"lying\", 1]]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1], [\"te... | {"split": "train", "index": 17657} |
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, Liam, Oliver, Aiden, and Olivia. \"it is not the case that ((Aiden is a sinner if and only if Olivia is a saint) and Olivia is a sinner),\" Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2102, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"lying\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]]], [\"or\", [... | {"split": "train", "index": 17658} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Olivia, Mason, Penelope, Ava, and Joseph. In Olivia's words: \"Ava is an angel or ((Penelope is an angel or Ava is a devil) or (Penelope is a devil or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2103, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]], [\"or\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 0]], [\"and\", [\"lying\", 2], [\"lying\", 3], [\"... | {"split": "train", "index": 17659} |
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, Avery, Noah, Emma, and Charlotte. Jacob asserted: \"(it is not the case that (Avery is a saint if and only if Charlotte is a sinner)) and ((Av... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2104, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"lying\", 3]], [\"lying\", 3]], [\"and\", [\"or\", [\"or\", [\"lying\", 4], [\"telli... | {"split": "train", "index": 17660} |
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, Aurora, Samuel, Matthew, and Jacob. According to William, \"((William is a laggard) if and only if (Matthew is a laggard if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2105, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"telling-truth\", 3]], [\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\"... | {"split": "train", "index": 17661} |
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: Ethan, Henry, Riley, Michael, and Oliver. As Ethan put it, \"Henry is an angel and (it is not the case that (if Oliver is an angel then Ethan is an ang... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2106, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]]], [\"or\", [\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], [\"t... | {"split": "train", "index": 17662} |
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: Alexander, Avery, Jack, Benjamin, and Joseph. \"if ((Avery is a sinner and Benjamin is a sinner) if and only if (Avery is a saint if and only if Alex... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2107, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"lying\", 1]]]], [... | {"split": "train", "index": 17663} |
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: Mia, Elizabeth, Daniel, Joseph, and Charlotte. Mia was heard saying, \"Daniel is a laggard\". As Elizabeth put it, \"(if (Mia is a laggard) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2108, \"statements\": [[\"lying\", 2], [\"and\", [\"->\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"not\", [\"not\", [\"telling-truth\", 2]]]], [\"->\", [\"<=>\", [\"not\", [\"te... | {"split": "train", "index": 17664} |
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: David, Penelope, Harper, Henry, and Mason. In a statement by David: \"((Mason is a knight and Mason is a knave) if and only if (Penelope is a knave o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2109, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4]], [\"or\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0]], [\"telling-truth\", 4]... | {"split": "train", "index": 17665} |
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: Logan, Mason, Amelia, Grace, and Henry. In a statement by Logan: \"it is not the case that ((Amelia is a hero if and only if Logan is a hero) and (Gr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2110, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]]], [\"lying\", 4], [\"n... | {"split": "train", "index": 17666} |
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: Joseph, Oliver, Sofia, Owen, and Aria. Joseph was heard saying, \"if Oliver is an altruist then ((if Aria is an altruist then Oliver is an egoi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2111, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]], [\"->\", [\"telling-truth\", 0], [\"lying\", 1]]]], [\"not\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"... | {"split": "train", "index": 17667} |
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, Olivia, Joseph, Jackson, and Amelia. Avery remarked, \"Avery is a saint\". Olivia told you that ((Amelia is a sinner) or (if Avery is a saint ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2112, \"statements\": [[\"telling-truth\", 0], [\"and\", [\"or\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"lying\", 0], [\"lying\", 2]], [\"and\", [\"<=>\", [\"->\", [\"telling-t... | {"split": "train", "index": 17668} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Charlotte, Luke, Ethan, Jack, and Emma. As Charlotte put it, \"(Jack is a devil and (Emma is an angel or Emma is a devil)) or ((Emma is a devil or Luke... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2113, \"statements\": [[\"or\", [\"and\", [\"lying\", 3], [\"or\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"or\", [\"or\", [\"lying\", 4], [\"lying\", 1], [\"lying\", 2]], [\"not\", [\"telling-truth\", 4]]]], [\"and\", [\"... | {"split": "train", "index": 17669} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Luke, Chloe, Joseph, Evelyn, and Emily. \"((Chloe is a sage and Emily is a fool and Chloe is a fool) and (Chloe is a fool or Emily is a fool or Chloe is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2114, \"statements\": [[\"and\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 1]], [\"or\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 1]], [\"lying\", 4]], [\"or\", [\"not\", [\"lying\", 3]... | {"split": "train", "index": 17670} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Zoey, Michael, Owen, Charlotte, and Sebastian. Zoey expressed that (if (if Owen is a devil then Michael is an angel) then (Owen is an angel)) and (if M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2115, \"statements\": [[\"and\", [\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"not\", [\"lying\", 2]]], [\"->\", [\"lying\", 1], [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 2]]], [\"<=>\", [\"... | {"split": "train", "index": 17671} |
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: Logan, Olivia, Ella, Isabella, and Scarlett. Logan said, \"Isabella is a sinner.\" Olivia expressed that Ella is a sinner and (it is not the case tha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2116, \"statements\": [[\"lying\", 3], [\"and\", [\"lying\", 2], [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 4]]], [\"telling-truth\", 4], [\"or... | {"split": "train", "index": 17672} |
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, Charlotte, Grace, Ella, and Ethan. In Abigail's words: \"((Ethan is a villain or Ethan is a hero) and (Grace is a villain or Abigail is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2117, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 0]], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\",... | {"split": "train", "index": 17673} |
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, Henry, Lily, Amelia, and Ava. \"if Ava is a laggard then Henry is a pioneer\" - Liam. Henry noted, \"Henry is a pioneer\". \"Liam is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2118, \"statements\": [[\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"telling-truth\", 1], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 3], [\"or\", [\"<=>\", [\"lying\", 0], [\"tellin... | {"split": "train", "index": 17674} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Luke, Mia, Benjamin, Jacob, and Matthew. Luke asserted: \"it is not the case that ((if Matthew is a villain then Luke is a hero) or (Matthew is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2119, \"statements\": [[\"not\", [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]]]], [\"lying\", 3], [\"not\", [\"and\", [\"->\", [\"lying\... | {"split": "train", "index": 17675} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Scarlett, Aiden, Noah, Olivia, and Riley. In Scarlett's words: \"if ((Riley is a sinner or Riley is a saint) if and only if (Scarlett is a saint or N... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2120, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"lying\", 2], [\"t... | {"split": "train", "index": 17676} |
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, Mason, Samuel, Logan, and Benjamin. \"if ((Samuel is a sinner and Logan is a sinner) or (Logan is a saint if and only if Logan is a sinner)) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2121, \"statements\": [[\"->\", [\"or\", [\"and\", [\"lying\", 2], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"lying\", 1]], [\"lying\", 4], [\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"... | {"split": "train", "index": 17677} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Sebastian, Ethan, Elizabeth, Grace, and Olivia. Sebastian noted, \"(if (Elizabeth is an egoist if and only if Grace is an altruist) then (Grace... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2122, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"and\", [\"lying\", ... | {"split": "train", "index": 17678} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Zoey, Lucas, Michael, Mia, and Harper. Zoey stated, \"((if Lucas is an angel then Harper is an angel) and (if Mia is a devil then Michael is a devil)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2123, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"telling-truth\", 2], [\"not\", [\"not\", [\"lying\", 2]]]], [\"lying\", 3], [\"... | {"split": "train", "index": 17679} |
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, Emily, Scarlett, Charlotte, and Benjamin. \"Emily is a knight,\" Jacob claimed. Emily said that Benjamin is a knave. Scarlett said, \"((Charlo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2124, \"statements\": [[\"telling-truth\", 1], [\"lying\", 4], [\"<=>\", [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"lying\", 1], [\"lying\", 4]]], [\"and\", [\"or\", [\"lying\", 0], [\"lying\", 3], [\"tell... | {"split": "train", "index": 17680} |
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: Charlotte, William, Riley, Penelope, and Jacob. According to Charlotte, \"Jacob is a villain\". William told you that ((Charlotte is a hero and Penel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2125, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"or\", [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 1], [\"telling-truth\... | {"split": "train", "index": 17681} |
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: Logan, James, Olivia, Aria, and Oliver. Logan told you that Olivia is a saint. James commented, \"Oliver is a sinner\". Olivia remarked, \"if (it is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2126, \"statements\": [[\"telling-truth\", 2], [\"lying\", 4], [\"->\", [\"not\", [\"not\", [\"lying\", 0]]], [\"or\", [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"lying\", 3... | {"split": "train", "index": 17682} |
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: Sophia, Abigail, Aurora, Victoria, and Charlotte. \"Abigail is a hero\" - Sophia. Abigail stated, \"(Charlotte is a villain if and only if (Victoria ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2127, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"<=>\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]]]], [\"->\", [\"n... | {"split": "train", "index": 17683} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Luke, Elizabeth, Charlotte, Ava, and Sophia. In a statement by Luke: \"((Elizabeth is a fool and Ava is a fool and Charlotte is a sage) or (Luke is a sage ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2128, \"statements\": [[\"or\", [\"or\", [\"and\", [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 4]], [\"or\"... | {"split": "train", "index": 17684} |
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, Joseph, Amelia, Sofia, and Liam. Penelope told you that Liam is a saint if and only if ((if Joseph is a saint then Liam is a saint) or (Sof... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2129, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 3]], [\"and\", [\"telling-truth\... | {"split": "train", "index": 17685} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: James, Jackson, Samuel, Aria, and Lucas. James expressed that ((Samuel is a villain and Aria is a villain) or (Lucas is a villain)) if and only if (S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2130, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"lying\", 2], [\"lying\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 1], [\"lying\", 2]]]], [\"... | {"split": "train", "index": 17686} |
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: Charlotte, Owen, Grace, Isabella, and Scarlett. Charlotte said, \"(if Charlotte is a sage then (Scarlett is a fool and Owen is a fool and Charlotte is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2131, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 0], [\"and\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 2]], [\"not\", [\"telling-truth\", 0]], [\"an... | {"split": "train", "index": 17687} |
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, Jacob, Charlotte, Grace, and Victoria. Owen asserted: \"((Grace is a laggard and Charlotte is a pioneer) or (Charlotte is a laggard or Ow... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2132, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], ... | {"split": "train", "index": 17688} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Emily, Abigail, Sofia, Olivia, and Aria. Emily commented, \"((Olivia is a fool if and only if Abigail is a sage) if and only if (if Aria is a sage then Oli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2133, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"lying\", 1], [\"lying\", 2]], [\"telling-truth\", 0], [\"and\", [\"and\", [\"an... | {"split": "train", "index": 17689} |
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, William, Sophia, James, and Oliver. Michael asserted: \"if ((William is a sinner) and (Oliver is a sinner if and only if William is a sinner... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2134, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], [\"lying\", 1]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"t... | {"split": "train", "index": 17690} |
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, Evelyn, Harper, Zoey, and Matthew. As Riley put it, \"if ((Evelyn is a hero if and only if Harper is a villain) or Harper is a villain or (Eve... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2135, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"lying\", 2], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"or\", [\"... | {"split": "train", "index": 17691} |
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: Alexander, Owen, Ella, Benjamin, and Lily. \"if (Benjamin is a saint) then ((Owen is a saint and Benjamin is a saint and Ella is a sinner) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2136, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 2]], [\"not\", [\"lying\", 1]]]], [\"and\", [\"or\", [\"not\", [\"lying\", 3]], [\"tell... | {"split": "train", "index": 17692} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Aria, Zoey, James, Ethan, and Olivia. \"(if (Zoey is a pioneer) then (Aria is a pioneer and Ethan is a pioneer)) or ((Olivia is a laggard and E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2137, \"statements\": [[\"or\", [\"->\", [\"not\", [\"lying\", 1]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"telling-tru... | {"split": "train", "index": 17693} |
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, Mason, Chloe, Emma, and Owen. Ethan expressed that (if Owen is a knave then (Mason is a knight and Owen is a knave and Emma is a knave)) and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2138, \"statements\": [[\"and\", [\"->\", [\"lying\", 4], [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"lyi... | {"split": "train", "index": 17694} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Olivia, Owen, Jackson, Grace, and Sophia. \"if (if (Owen is a laggard) then Grace is a pioneer) then Jackson is a laggard,\" Olivia declared. O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2139, \"statements\": [[\"->\", [\"->\", [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 3]], [\"lying\", 2]], [\"or\", [\"->\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"lying\", 0], [\"lyin... | {"split": "train", "index": 17695} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Jacob, Luke, Joseph, Mia, and Jack. \"Luke is an angel\" - Jacob. Luke told you that it is not the case that (it is not the case that (if Mia is a devi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2140, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]]], [\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 3]], [\"or\", [\"... | {"split": "train", "index": 17696} |
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: Benjamin, Elizabeth, David, Isabella, and Henry. Benjamin said that ((if Elizabeth is a hero then Isabella is a villain) if and only if (David is a h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2141, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"lying\", ... | {"split": "train", "index": 17697} |
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, Lily, Aiden, Emily, and Scarlett. Lucas commented, \"if Scarlett is a laggard then ((Lily is a laggard) if and only if (if Emily is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2142, \"statements\": [[\"->\", [\"lying\", 4], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]]], [\"and\", [\"and\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]], [\"and\", ... | {"split": "train", "index": 17698} |
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, Avery, Olivia, Owen, and Michael. In Zoey's words: \"(if (Michael is a saint and Avery is a sinner) then Owen is a saint) if and only if Avery ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2143, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1]], [\"telling-truth\", 3]], [\"lying\", 1]], [\"lying\", 4], [\"and\", [\"lying\", 0], [\"<=>\", [\"not\", [\"lying\", 1]], [\"or\", [\"... | {"split": "train", "index": 17699} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.