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: Riley, Aria, Abigail, David, and Matthew. Riley noted, \"(David is a knave) if and only if (Matthew is a knight or David is a knave)\". \"Matthew is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 432, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"telling-truth\", 4], [\"telling-truth\", 3], [\"or\", [\"or\", [\"lying\", 4], [\"lying\", 2]], [\"or\", ... | {"split": "train", "index": 7100} |
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, Matthew, Charlotte, Lucas, and Sophia. Logan stated, \"Charlotte is a laggard\". Matthew commented, \"it is not the case that (if Sophia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 433, \"statements\": [[\"lying\", 2], [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"lying\", 1]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"lying\", 1], [\"not\", [\"telling... | {"split": "train", "index": 7101} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Riley, Daniel, Jackson, Emma, and Ella. \"Emma is a fool if and only if (if Daniel is a sage then Jackson is a fool)\" - Riley. Daniel was heard saying, \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 434, \"statements\": [[\"<=>\", [\"lying\", 3], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"lying\", 0], [\"and\", [\"lying\", 1], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"telli... | {"split": "train", "index": 7102} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Abigail, Mia, Liam, Matthew, and Mason. As Abigail put it, \"Matthew is a saint if and only if (Mason is a saint and Mia is a sinner)\". Mia was hear... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 435, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"lying\", 0], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]], [\"and\", [\"telling-truth\", 4], [\"lyin... | {"split": "train", "index": 7103} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Isabella, Lily, Riley, Emily, and Samuel. In Isabella's words: \"(Riley is a villain if and only if Isabella is a hero) if and only if (Lily is a her... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 436, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"lying\", 0], [\"telling-truth\", 1], [\"->\", [\"or\", [\"telling-truth\", 2], [\... | {"split": "train", "index": 7104} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Chloe, Ava, Oliver, Victoria, and William. \"if (if Oliver is an angel then Victoria is an angel) then (Victoria is a devil and Ava is an angel),\" Chl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 437, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"or\", [\"lying\", 2], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 4],... | {"split": "train", "index": 7105} |
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, Mason, Isabella, Olivia, and Scarlett. Elizabeth commented, \"if (Scarlett is a villain) then Scarlett is a villain\". Mason noted, \"if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 438, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 4]], [\"->\", [\"or\", [\"lying\", 3], [\"lying\", 0]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"->\", [\"telling-truth\", 3],... | {"split": "train", "index": 7106} |
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, William, Isabella, Lily, and Sofia. James expressed that it is not the case that (William is an egoist). \"(if William is an altruist th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 439, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"or\", [\"telling-truth\", 1], [\"or... | {"split": "train", "index": 7107} |
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: Grace, Alexander, Aiden, Zoey, and Aurora. \"(Aurora is an altruist if and only if Aiden is an egoist) and (Aiden is an egoist if and only if G... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 440, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"telling-truth\", 3], [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"tell... | {"split": "train", "index": 7108} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Chloe, Daniel, Olivia, Samuel, and Luke. In a statement by Chloe: \"if (Chloe is an altruist if and only if Luke is an egoist) then (Daniel is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 441, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"telling-truth\", 0], [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]],... | {"split": "train", "index": 7109} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Abigail, Alexander, Aiden, Joseph, and Olivia. Abigail stated, \"(Olivia is a knave and Joseph is a knight) and Alexander is a knave\". Alexander sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 442, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"lying\", 1]], [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0]], [\"and\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"->\", [\"or\... | {"split": "train", "index": 7110} |
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: Riley, Ethan, Scarlett, Jacob, and Benjamin. According to Riley, \"if (Ethan is an angel if and only if Jacob is a devil) then (Scarlett is an angel an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 443, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"telling-truth\", 0], [\"->\", [\"or\", [\"lying\", 1], [\"lying\", 0]], [\"telling-truth\... | {"split": "train", "index": 7111} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Sofia, Charlotte, Oliver, Zoey, and Logan. Sofia remarked, \"(Zoey is a sage or Logan is a sage) or (Sofia is a fool)\". Charlotte told you that (Charlotte... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 444, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 0]], [\"and\", [\"telling-truth\", 0], [\"tell... | {"split": "train", "index": 7112} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Grace, Joseph, Emma, Henry, and Amelia. \"Emma is a sage,\" Grace declared. In a statement by Joseph: \"Grace is a sage\". Emma stated, \"(Amelia is a fool... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 445, \"statements\": [[\"telling-truth\", 2], [\"telling-truth\", 0], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"telling-truth\... | {"split": "train", "index": 7113} |
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: Sofia, Harper, Aiden, David, and Scarlett. Sofia asserted: \"if (Sofia is an egoist) then (Harper is an altruist or Sofia is an altruist)\". In... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 446, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"lying\", 2]], [\"not\", [\"->\", [\"telling-tr... | {"split": "train", "index": 7114} |
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, Jackson, Elizabeth, Ava, and Scarlett. Penelope was heard saying, \"it is not the case that (if Scarlett is a pioneer then Ava is a l... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 447, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"and\", [\"or\", [\"lying\", 0], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"<=>\", [\"not\", [\"lying\", ... | {"split": "train", "index": 7115} |
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: Sebastian, James, Aria, Aiden, and Noah. In Sebastian's words: \"(Noah is a villain or Sebastian is a hero) or (Noah is a villain if and only if Aria... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 448, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 2], [\"tell... | {"split": "train", "index": 7116} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Daniel, Mason, Ella, Oliver, and Grace. Daniel said that it is not the case that (Grace is a hero or Ella is a hero). As Mason put it, \"(if Grace is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 449, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"not\", [\"te... | {"split": "train", "index": 7117} |
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: Ella, Liam, Amelia, Chloe, and Charlotte. Ella was heard saying, \"(Charlotte is a sage) and (Charlotte is a sage or Amelia is a fool)\". \"(Charlotte is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 450, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 0]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"->\", [\"... | {"split": "train", "index": 7118} |
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, David, Ella, Alexander, and Sofia. Sebastian said that it is not the case that (David is an egoist). \"(Ella is an altruist if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 451, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"telling-truth\", 4]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"... | {"split": "train", "index": 7119} |
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: Lily, Samuel, Abigail, Evelyn, and Sebastian. Lily asserted: \"it is not the case that (Abigail is a sage and Sebastian is a fool)\". Samuel remarked, \"it... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 452, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"not\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3]], [\"telling-truth\", ... | {"split": "train", "index": 7120} |
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: Elizabeth, Oliver, Emma, Abigail, and Ethan. Elizabeth asserted: \"if (Ethan is a sinner if and only if Emma is a saint) then Emma is a sinner\". Oli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 453, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"lying\", 2]], [\"telling-truth\", 2], [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"->\", [\"lying\", 4], [\"telling... | {"split": "train", "index": 7121} |
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, Samuel, Benjamin, Alexander, and Mason. \"(Benjamin is a villain) if and only if Alexander is a villain,\" Logan claimed. Samuel noted, \"if A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 454, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"and\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"no... | {"split": "train", "index": 7122} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Evelyn, Lily, Liam, Olivia, and Alexander. In Evelyn's words: \"Olivia is a knight and (if Liam is a knave then Olivia is a knave)\". \"if (Alexander... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 455, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"->\", [\"->\... | {"split": "train", "index": 7123} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Sebastian, Matthew, Ava, Olivia, and Lily. Sebastian was heard saying, \"Ava is a devil\". \"Ava is an angel,\" Matthew declared. \"(Lily is a devil or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 456, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 2], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]], [\"not\", [\"lying\", 1]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]... | {"split": "train", "index": 7124} |
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, Abigail, Evelyn, Harper, and Luke. Noah said, \"(if Abigail is a hero then Luke is a hero) if and only if (Harper is a villain and Luke is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 457, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"lying\", 4]]], [\"or\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"->\",... | {"split": "train", "index": 7125} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Victoria, Isabella, Alexander, Scarlett, and Mia. \"Alexander is a villain or (Mia is a hero and Mia is a villain)\" - Victoria. Isabella said that (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 458, \"statements\": [[\"or\", [\"lying\", 2], [\"and\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"and\", [\"or\", [\"lying\", 0], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"or\",... | {"split": "train", "index": 7126} |
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, Logan, Henry, Noah, and Emily. \"it is not the case that (Ethan is an angel or Noah is a devil)\" - Ethan. Logan noted, \"if (Ethan is an angel ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 459, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3]], [\"telling-truth\", 4]], [\"telling-truth\", 3], [\"and\", [\"->\", [\"lying\", 0], ... | {"split": "train", "index": 7127} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Riley, Chloe, Sofia, and Matthew. In James's words: \"(Chloe is a knight and Sofia is a knave) if and only if Sofia is a knave\". Riley noted,... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 460, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3]], [\"lying\", 3]], [\"not\", [\"lying\", 0]], [\"<=>\", [\"lying\", 1], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [... | {"split": "train", "index": 7128} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Charlotte, Alexander, Evelyn, Chloe, and Samuel. Charlotte noted, \"(Alexander is an egoist and Samuel is an altruist) and (Chloe is an egoist)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 461, \"statements\": [[\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth\", 0]], [\"lying\", 2]], [\"lying\", 4], [\"not\", [\"... | {"split": "train", "index": 7129} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Logan, Grace, Abigail, Joseph, and Sophia. Logan was heard saying, \"(if Grace is a devil then Abigail is a devil) if and only if (Joseph is an angel o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 462, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 0]], [\"telling-truth\", 1]], [\"lying\", 1],... | {"split": "train", "index": 7130} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: David, Evelyn, Penelope, Daniel, and Alexander. David was heard saying, \"if (Daniel is a laggard if and only if Daniel is a pioneer) then (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 463, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"and\", [\"telling-truth\", 2], [\"or\", [\"lying\", 3], [\"telling-truth\", 4]]], ... | {"split": "train", "index": 7131} |
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, Sophia, Charlotte, Ella, and Zoey. Owen noted, \"Sophia is an angel and Ella is an angel\". Sophia noted, \"if (if Owen is a devil then Sophia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 464, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"lying\", 4], [\"->\", [... | {"split": "train", "index": 7132} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Olivia, Isabella, Sophia, Zoey, and Elizabeth. \"(Zoey is an egoist if and only if Elizabeth is an altruist) or (Sophia is an altruist),\" Oliv... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 465, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]]], [\"->\", [\"not\", [\"lying\", 0]], [\"telling-truth\", 3]], [\"lying\", 0], [\"not\", [\"->\", [\"lying\", 4], [\"t... | {"split": "train", "index": 7133} |
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: Scarlett, Harper, Mason, Oliver, and Zoey. Scarlett remarked, \"Mason is a laggard\". \"(Scarlett is a laggard) and (Oliver is a pioneer if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 466, \"statements\": [[\"lying\", 2], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"or\", [\"telling-truth\", 1], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]],... | {"split": "train", "index": 7134} |
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, Scarlett, William, Evelyn, and Lily. As James put it, \"Scarlett is a pioneer\". Scarlett was heard saying, \"(if William is a laggard t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 467, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"not\", [\"lying\", 0]]], [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]], [\"telling-truth\", 0]], [\"<=>... | {"split": "train", "index": 7135} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: William, Logan, Harper, Isabella, and Emily. As William put it, \"(Logan is an egoist if and only if Emily is an egoist) or (Isabella is an ego... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 468, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"or\", [\"lying\", 3], [\"lying\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"not\", [\"telling-truth\", 1]], [\"no... | {"split": "train", "index": 7136} |
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: Daniel, Victoria, Mason, Sebastian, and Evelyn. \"(if Evelyn is a sage then Daniel is a sage) and (Victoria is a sage)\" - Daniel. In a statement by Victor... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 469, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"not\", [\"lying\", 1]]], [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 0]]], [\"telling-truth\", 4], [\"not\", [\"->\", [\"lying\", ... | {"split": "train", "index": 7137} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Sofia, Jack, Avery, Benjamin, and Ava. Sofia expressed that it is not the case that (Jack is a fool and Benjamin is a fool). Jack noted, \"(Ava is a fool a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 470, \"statements\": [[\"not\", [\"and\", [\"lying\", 1], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"<=>\", [\"lying\", 3], [\"<=>\", [... | {"split": "train", "index": 7138} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Victoria, Ethan, Sofia, Lily, and Scarlett. \"(Scarlett is a devil if and only if Lily is an angel) if and only if Scarlett is an angel\" - Victoria. I... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 471, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"telling-truth\", 4]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"or\", [\"lying\", ... | {"split": "train", "index": 7139} |
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, Benjamin, Logan, Sebastian, and Sophia. Abigail remarked, \"(Benjamin is a hero and Sophia is a villain) or (Benjamin is a hero and Benjamin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 472, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"telling-truth\", 3], [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]], ... | {"split": "train", "index": 7140} |
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: Benjamin, Chloe, Sebastian, Ethan, and Michael. \"(Chloe is a knave and Sebastian is a knave) and (Sebastian is a knave or Ethan is a knight),\" Benj... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 473, \"statements\": [[\"and\", [\"and\", [\"lying\", 1], [\"lying\", 2]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"telling-truth\", 3], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"<=>\... | {"split": "train", "index": 7141} |
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, William, Amelia, Penelope, and Sophia. Owen told you that if William is a laggard then (William is a laggard and Sophia is a laggard). \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 474, \"statements\": [[\"->\", [\"lying\", 1], [\"and\", [\"lying\", 1], [\"lying\", 4]]], [\"telling-truth\", 4], [\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3]], [\"telling-truth\", 4]], [\"or\", [\"not\", [\"tell... | {"split": "train", "index": 7142} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Grace, Mason, Oliver, Isabella, and Emma. \"Oliver is a sage or Mason is a sage\" - Grace. In Mason's words: \"Isabella is a sage\". Oliver noted, \"if (Ol... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 475, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 3], [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4]], [\"and\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"and\", ... | {"split": "train", "index": 7143} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Avery, Evelyn, Sebastian, Mia, and Aria. As Avery put it, \"(Avery is a devil) if and only if (Aria is an angel if and only if Evelyn is a devil)\". \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 476, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 4], [\"lying\", 0]]... | {"split": "train", "index": 7144} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: William, Michael, Matthew, Emma, and Joseph. In a statement by William: \"Emma is an altruist\". Michael remarked, \"if Emma is an altruist the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 477, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"lying\", 3]], [\"<=>\", [\"not\",... | {"split": "train", "index": 7145} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: William, Emma, Isabella, Matthew, and Ava. William stated, \"it is not the case that (Ava is an egoist if and only if Ava is an altruist)\". Em... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 478, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]], [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\", ... | {"split": "train", "index": 7146} |
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, Noah, Aria, Lucas, and Jacob. James was heard saying, \"(Jacob is a sinner) and (if Jacob is a saint then Noah is a sinner)\". Noah asserted: ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 479, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"and\", [\"lying\", 2], [\"->\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"telling-truth\", 2], [\"->\"... | {"split": "train", "index": 7147} |
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, Oliver, Aiden, Scarlett, and Ethan. Alexander expressed that if (Ethan is a saint) then (if Oliver is a saint then Alexander is a saint). ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 480, \"statements\": [[\"->\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"telling-truth\", 0], [\"not\", [\"->\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"<=>\", [\"telling-tru... | {"split": "train", "index": 7148} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Sophia, Aurora, Riley, Penelope, and Logan. \"(Logan is an egoist and Sophia is an altruist) and Aurora is an egoist,\" Sophia mentioned. Auror... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 481, \"statements\": [[\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"lying\", 1]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"telling-truth\", 3], [\"or\", [\"not\", [\"lying\", 1]... | {"split": "train", "index": 7149} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Aurora, Olivia, Riley, Aria, and Lily. \"if Aria is a villain then (Aurora is a hero if and only if Aria is a hero),\" Aurora claimed. Olivia remarke... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 482, \"statements\": [[\"->\", [\"lying\", 3], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"and\", [\"->\... | {"split": "train", "index": 7150} |
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, Sophia, Ava, Samuel, and Penelope. Henry said, \"it is not the case that (Ava is a fool if and only if Ava is a sage).\" In Sophia's words: \"if (Sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 483, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"->\", [\"or\", [\"telling-tr... | {"split": "train", "index": 7151} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Amelia, Oliver, Mia, Henry, and Emma. \"(Oliver is a devil or Mia is an angel) if and only if Mia is a devil,\" Amelia declared. Oliver told you that (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 484, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 2]], [\"lying\", 2]], [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"not\", [\"o... | {"split": "train", "index": 7152} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mia, Benjamin, Charlotte, Evelyn, and Abigail. Mia noted, \"(Abigail is a knight) and (if Abigail is a knight then Abigail is a knave)\". Benjamin to... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 485, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"or\", [\"not\", [... | {"split": "train", "index": 7153} |
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: Benjamin, Victoria, Scarlett, Riley, and Mason. Benjamin told you that (Riley is a laggard) or (Mason is a laggard). In a statement by Victoria... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 486, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"lying\", 4], [\"lying\", 2]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"<=>\", [\"... | {"split": "train", "index": 7154} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Oliver, Olivia, Sofia, Aria, and Daniel. \"(Olivia is a sage or Daniel is a sage) if and only if (if Daniel is a sage then Olivia is a sage),\" Oliver decl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 487, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"lyin... | {"split": "train", "index": 7155} |
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, Mason, Lucas, Noah, and Liam. Avery was heard saying, \"(Mason is a knight if and only if Noah is a knave) if and only if Liam is a knave\". M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 488, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"lying\", 4]], [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"tel... | {"split": "train", "index": 7156} |
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, Aiden, Ava, Harper, and Jacob. Lily asserted: \"(Ava is an altruist and Ava is an egoist) and (Lily is an altruist and Aiden is an egoist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 489, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\", [\"lying\", 4... | {"split": "train", "index": 7157} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Jacob, Penelope, James, Alexander, and Elizabeth. Jacob stated, \"if (if Elizabeth is a hero then Elizabeth is a villain) then (Elizabeth is a villai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 490, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2]... | {"split": "train", "index": 7158} |
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, Joseph, Noah, Mia, and Charlotte. Lucas remarked, \"it is not the case that (Mia is a fool or Charlotte is a sage)\". Joseph was heard saying, \"(Lu... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 491, \"statements\": [[\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"lying\", 2]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\... | {"split": "train", "index": 7159} |
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, Isabella, Mia, Amelia, and Lily. \"(Amelia is a knave or Isabella is a knight) or Harper is a knight\" - Harper. Isabella told you that Ameli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 492, \"statements\": [[\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"or\", [\"telling-truth\", 2], [\"lying\"... | {"split": "train", "index": 7160} |
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, Noah, Samuel, Liam, and Logan. Luke was heard saying, \"(Luke is a hero if and only if Samuel is a villain) and (Liam is a hero or Luke is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 493, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"or\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]]],... | {"split": "train", "index": 7161} |
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, Victoria, Aria, Ava, and Mia. Zoey said that Victoria is a devil. Victoria asserted: \"(Ava is an angel and Victoria is an angel) or (Mia is a de... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 494, \"statements\": [[\"lying\", 1], [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"lying\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 1]], [\"->\", [\"lyin... | {"split": "train", "index": 7162} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: David, Alexander, Ava, Jackson, and Owen. David said, \"if (if Ava is a laggard then Ava is a pioneer) then (David is a pioneer if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 495, \"statements\": [[\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"and\", [\"lying\", 2], [\"tell... | {"split": "train", "index": 7163} |
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, Scarlett, Riley, David, and Joseph. Abigail noted, \"if (Abigail is a hero and Joseph is a villain) then (Riley is a hero and David is a her... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 496, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [\"telling-tru... | {"split": "train", "index": 7164} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Jackson, Sophia, Penelope, Emma, and Elizabeth. Jackson asserted: \"Elizabeth is a knave\". \"(if Emma is a knave then Elizabeth is a knave) and (Emm... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 497, \"statements\": [[\"lying\", 4], [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"lying\", 3], [\"lying\", 1]]], [\"and\", [\"and\", [\"... | {"split": "train", "index": 7165} |
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, Lily, Sophia, Michael, and Daniel. \"(Michael is a knight and Sophia is a knight) or (if Lily is a knave then Sophia is a knight)\" - Harper.... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 498, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 4]], [\"<=>\", [\"->\", [\"l... | {"split": "train", "index": 7166} |
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, Lily, Joseph, Zoey, and Amelia. Luke remarked, \"(Zoey is a saint or Luke is a saint) if and only if (Zoey is a saint or Joseph is a saint)\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 499, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [... | {"split": "train", "index": 7167} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Matthew, Daniel, Zoey, and Scarlett. In James's words: \"it is not the case that (if Matthew is a knight then Zoey is a knave)\". Matthew expr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 500, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"not\", [\"not\", [\"lying\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"->\", [\"lying\", 0], [\"lying\", 1... | {"split": "train", "index": 7168} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Emma, Joseph, Charlotte, Scarlett, and Logan. Emma said that if (Charlotte is an angel or Charlotte is a devil) then Logan is a devil. Joseph said that... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 501, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"lying\", 4]], [\"telling-truth\", 3], [\"not\", [\"lying\", 1]], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"and\", [\"lyin... | {"split": "train", "index": 7169} |
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: Emily, Isabella, William, Benjamin, and Sebastian. Emily remarked, \"Sebastian is a sinner\". Isabella said that (Emily is a sinner) or (Benjamin is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 502, \"statements\": [[\"lying\", 4], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying\", 3], [\"lying\", 2]]], [\"telling-truth\", 3], [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>\"... | {"split": "train", "index": 7170} |
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: Benjamin, Abigail, Amelia, Chloe, and Daniel. \"it is not the case that (Benjamin is a knave),\" Benjamin declared. \"(Amelia is a knave if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 503, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"->\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"or\",... | {"split": "train", "index": 7171} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Grace, Zoey, Riley, Oliver, and Ethan. Grace stated, \"it is not the case that (Oliver is a sage)\". As Zoey put it, \"Ethan is a sage\". In a statement by... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 504, \"statements\": [[\"not\", [\"not\", [\"lying\", 3]]], [\"telling-truth\", 4], [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"telling-truth\",... | {"split": "train", "index": 7172} |
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, Grace, Abigail, Jack, and William. Victoria noted, \"(Grace is an egoist or Victoria is an altruist) and (Jack is an altruist and Jac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 505, \"statements\": [[\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 0]], [\"or\", [\"telling-truth\", 3],... | {"split": "train", "index": 7173} |
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, Amelia, Ava, Joseph, and Sebastian. Victoria said, \"(Joseph is an egoist and Joseph is an altruist) or (Ava is an altruist or Sebast... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 506, \"statements\": [[\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 0]], [\"<=>\", [\"lying\", 2], ... | {"split": "train", "index": 7174} |
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, Isabella, Charlotte, Emma, and Chloe. James expressed that it is not the case that (James is a pioneer or Chloe is a pioneer). Isabella ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 507, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4]], [\"not\", [\"lying\", 4]]], [\"telling-truth\", 4], [\"or\", [\"->\", [\"l... | {"split": "train", "index": 7175} |
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, Amelia, Matthew, Isabella, and Ella. In Emma's words: \"Amelia is a knight if and only if (Matthew is a knight or Isabella is a knight)\". Amel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 508, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]],... | {"split": "train", "index": 7176} |
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, Ava, Noah, Sebastian, and Aria. In Emily's words: \"if (Ava is a knight) then (if Ava is a knight then Ava is a knave)\". According to Ava, \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 509, \"statements\": [[\"->\", [\"not\", [\"lying\", 1]], [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"or\", [\"or\", [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"not\", [\"->... | {"split": "train", "index": 7177} |
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, Alexander, Abigail, Sofia, and Oliver. \"(Oliver is an altruist or Abigail is an egoist) or (Sofia is an altruist or Oliver is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 510, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"or\", [\"telling-truth... | {"split": "train", "index": 7178} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Zoey, Sophia, Riley, Isabella, and Avery. \"(Sophia is a hero if and only if Sophia is a villain) or Isabella is a hero\" - Zoey. \"Isabella is a her... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 511, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"telling-truth\", 3]], [\"telling-truth\", 3], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"an... | {"split": "train", "index": 7179} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Chloe, Matthew, Abigail, Henry, and Noah. \"if (Abigail is a devil and Noah is an angel) then (Abigail is an angel or Matthew is an angel),\" Chloe cla... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 512, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"telling-truth\", 3], ... | {"split": "train", "index": 7180} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Mason, Olivia, Henry, Sebastian, and Emily. Mason said that (Olivia is a laggard and Sebastian is a pioneer) if and only if Olivia is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 513, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3]], [\"telling-truth\", 1]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\... | {"split": "train", "index": 7181} |
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: Daniel, Luke, Oliver, Avery, and Samuel. In Daniel's words: \"if (if Samuel is a knave then Avery is a knight) then (Avery is a knave)\". Luke was he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 514, \"statements\": [[\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"lying\", 4], [\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1],... | {"split": "train", "index": 7182} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Amelia, Abigail, Ava, Elizabeth, and Evelyn. \"Elizabeth is a villain,\" Amelia declared. Abigail was heard saying, \"(Ava is a villain) or (Abigail ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 515, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"and\", [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 2... | {"split": "train", "index": 7183} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: James, Michael, Jacob, Grace, and Jackson. James told you that (Grace is an angel) or (if Michael is an angel then Jacob is a devil). \"if (James is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 516, \"statements\": [[\"or\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"telling-truth\", 2]], [\"and\", [\"->\", [\"ly... | {"split": "train", "index": 7184} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Grace, Oliver, David, Ethan, and Mason. \"it is not the case that (David is a fool if and only if Mason is a fool),\" Grace mentioned. Oliver told you that... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 517, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"->\", [\"telling-truth\", 2], [\"not\", [\"lying\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 2]], [\"<=>\", [\"<=>\",... | {"split": "train", "index": 7185} |
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, Elizabeth, Harper, Penelope, and Avery. As Chloe put it, \"(Penelope is a sage and Harper is a sage) if and only if Penelope is a fool\". Elizabeth ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 518, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"lying\", 3]], [\"and\", [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"not\", [\"telling-truth\", ... | {"split": "train", "index": 7186} |
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: Benjamin, Aiden, Aurora, Emma, and Scarlett. \"if (Aiden is a sinner and Aurora is a sinner) then (Scarlett is a sinner if and only if Aurora is a si... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 519, \"statements\": [[\"->\", [\"and\", [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"or\", [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"or\"... | {"split": "train", "index": 7187} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Alexander, Isabella, Evelyn, Zoey, and Ella. Alexander expressed that if (Isabella is an angel or Evelyn is a devil) then (Isabella is an angel and Zoe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 520, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"and\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"lying\", 2], [\"->\", [\"not\", [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"tell... | {"split": "train", "index": 7188} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Penelope, David, Harper, Michael, and Elizabeth. Penelope remarked, \"it is not the case that (Elizabeth is a hero and Harper is a villain)\". \"if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 521, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"te... | {"split": "train", "index": 7189} |
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, Alexander, Ella, Owen, and Harper. Charlotte said, \"(Alexander is a pioneer or Ella is a laggard) and Alexander is a pioneer.\" Ale... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 522, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"telling-truth\", 1]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"not\", [\"lying\", 4]]], [\"or\", [\"<=>\", [\"l... | {"split": "train", "index": 7190} |
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, Evelyn, Grace, Daniel, and Jacob. Matthew noted, \"Daniel is an egoist\". \"(Grace is an altruist or Evelyn is an altruist) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 523, \"statements\": [[\"lying\", 3], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"lying\", 0]]], [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 1]]], [\"not\", [\"lying\", 1]], [\"->\", [\... | {"split": "train", "index": 7191} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Penelope, Scarlett, Isabella, Mason, and James. Penelope told you that it is not the case that (Scarlett is a villain). \"(Scarlett is a hero or Maso... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 524, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"lying\", ... | {"split": "train", "index": 7192} |
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, David, Daniel, Lucas, and Sofia. Charlotte said, \"(Daniel is a pioneer and Lucas is a pioneer) or Sofia is a pioneer.\" David told ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 525, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 4]], [\"->\", [\"and\", [\"lying\", 0], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\... | {"split": "train", "index": 7193} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mia, Sophia, Harper, Aria, and Lucas. \"(Harper is a knave if and only if Sophia is a knight) and (if Aria is a knight then Sophia is a knight),\" Mi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 526, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"lyin... | {"split": "train", "index": 7194} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Scarlett, Aiden, Riley, Aria, and Jackson. \"(Riley is a fool) and (Scarlett is a sage or Jackson is a sage),\" Scarlett declared. Aiden stated, \"if (Aria... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 527, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"lying\", 3]], [\"or\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"... | {"split": "train", "index": 7195} |
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, Owen, Henry, William, and Joseph. James remarked, \"(if James is an altruist then William is an egoist) if and only if (William is an eg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 528, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"or\", [\"lying\", 3], [\"lying\", 2]]], [\"->\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"lying\", 3]]], [\"and\", [\"<=>\", [... | {"split": "train", "index": 7196} |
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, Aria, Harper, Olivia, and James. Riley noted, \"it is not the case that (James is a knave or Riley is a knight)\". Aria was heard saying, \"(R... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 529, \"statements\": [[\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"telling-truth\", 4], [\"not\", [\"->\", [\"telling-t... | {"split": "train", "index": 7197} |
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, Aiden, Sebastian, Aria, and Ethan. Zoey said, \"Ethan is a laggard.\" Aiden said, \"(Sebastian is a laggard and Sebastian is a pioneer) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 530, \"statements\": [[\"lying\", 4], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 4... | {"split": "train", "index": 7198} |
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, Joseph, Ella, Jacob, and Samuel. Emily noted, \"if (Ella is a sage and Joseph is a fool) then (Jacob is a sage)\". In Joseph's words: \"(Samuel is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 531, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1]], [\"not\", [\"lying\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 3]], [\"not\", [\"lying\", 4]], [\"and\", [\"and\", ... | {"split": "train", "index": 7199} |
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