data_source stringclasses 1
value | prompt stringlengths 948 4.18k | ability stringclasses 1
value | reward_model stringlengths 1.89k 8.09k | extra_info stringlengths 30 34 |
|---|---|---|---|---|
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Jack, Riley, Olivia, Abigail, Isabella, Grace, Lily, Aiden, and Elizabeth. Jack noted, \"((Abigail is a saint) and Olivia is a saint) and ((Olivia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1366, \"statements\": [[\"and\", [\"and\", [\"not\", [\"lying\", 3]], [\"telling-truth\", 2]], [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 7], [\"lying\", 8]]]], [\"and\", [\"or\"... | {"split": "train", "index": 14700} |
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 9 inhabitants: Scarlett, Matthew, Chloe, Olivia, Liam, Ella, Sebastian, Daniel, and Penelope. Scarlett stated, \"((Daniel is an egoist and Liam is an egoist) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1367, \"statements\": [[\"or\", [\"and\", [\"and\", [\"lying\", 7], [\"lying\", 4]], [\"or\", [\"lying\", 3], [\"lying\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"lying\", 5], [\"telling-tr... | {"split": "train", "index": 14701} |
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 9 inhabitants: David, Emma, Sofia, Olivia, William, Benjamin, Luke, Mason, and Joseph. David expressed that Mason is an altruist. According to Emma, \"if ((Be... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1368, \"statements\": [[\"telling-truth\", 7], [\"->\", [\"or\", [\"or\", [\"telling-truth\", 5], [\"lying\", 0]], [\"->\", [\"lying\", 7], [\"telling-truth\", 2]]], [\"and\", [\"and\", [\"lying\", 0], [\"lying\", 7]], [\"and\... | {"split": "train", "index": 14702} |
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 9 inhabitants: Charlotte, Joseph, Sofia, Samuel, Zoey, Emily, Olivia, Harper, and Avery. \"Avery is a hero,\" Charlotte declared. Joseph noted, \"((Olivia is a hero... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1369, \"statements\": [[\"telling-truth\", 8], [\"and\", [\"or\", [\"not\", [\"lying\", 6]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 7], [\"telling-t... | {"split": "train", "index": 14703} |
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 9 inhabitants: Ava, Charlotte, Michael, Joseph, Mia, Aria, Daniel, Lily, and Logan. Ava stated, \"Charlotte is an angel\". Charlotte noted, \"Daniel is an angel\". As... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1370, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"lying\", 6]], [\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 4], [\"lying\", 0]]], [\"->\", [\"or\", [\"telling-t... | {"split": "train", "index": 14704} |
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 9 inhabitants: Olivia, Charlotte, Benjamin, Michael, Noah, Oliver, Jacob, Elizabeth, and Chloe. Olivia told you that Benjamin is a devil. \"it is not the case that (E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1371, \"statements\": [[\"lying\", 2], [\"not\", [\"and\", [\"telling-truth\", 7], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 5]]]], [\"or\", [\"<=>\", [\"or\", [\"lying\", 6], [\"lying\", 3]], [\"telling-truth\", 5]... | {"split": "train", "index": 14705} |
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 9 inhabitants: Zoey, Scarlett, Olivia, Luke, Sophia, Alexander, Aurora, James, and Ethan. Zoey noted, \"if (if (Zoey is a sage and Luke is a sage) then (Olivia is a sage)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1372, \"statements\": [[\"->\", [\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", ... | {"split": "train", "index": 14706} |
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 9 inhabitants: Daniel, Owen, Harper, Evelyn, Chloe, Benjamin, Amelia, Jacob, and Samuel. Daniel remarked, \"Chloe is an altruist\". Owen asserted: \"(it is no... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1373, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"not\", [\"and\", [\"lying\", 8], [\"telling-truth\", 1]]], [\"->\", [\"lying\", 0], [\"telling-truth\", 6]]], [\"<=>\", [\"not\", [\"<=>\", [\"lying\", 7], [\"lying\"... | {"split": "train", "index": 14707} |
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 9 inhabitants: Noah, Charlotte, Riley, Luke, Abigail, Samuel, Evelyn, Jacob, and Aiden. Noah asserted: \"((Luke is a laggard or Samuel is a laggard) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1374, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 7]]], [\"not\", [\"and\", [\"lying\", 1], [\"lying\", 4]]]], [\"->\", [\"not\", [\"or\"... | {"split": "train", "index": 14708} |
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 9 inhabitants: Charlotte, Grace, Sebastian, Aria, David, Ella, Ethan, Joseph, and Isabella. Charlotte noted, \"it is not the case that ((David is an egoist) i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1375, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]]]], [\"and\", [\"not\", [\"telling-truth\", 5]], [\"lying\", 8]], [\"->\", [\"or\", [\"telling-trut... | {"split": "train", "index": 14709} |
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 9 inhabitants: Sebastian, Matthew, Zoey, Noah, James, Jacob, Liam, Emma, and Aiden. Sebastian commented, \"(it is not the case that (Aiden is a sinner or Noah is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1376, \"statements\": [[\"and\", [\"not\", [\"or\", [\"lying\", 8], [\"lying\", 3]]], [\"not\", [\"not\", [\"telling-truth\", 6]]]], [\"not\", [\"and\", [\"->\", [\"telling-truth\", 5], [\"lying\", 4]], [\"or\", [\"lying\", 6]... | {"split": "train", "index": 14710} |
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 9 inhabitants: Matthew, Amelia, David, Charlotte, Liam, Luke, Jack, Sofia, and Emma. \"Sofia is a sage and ((Liam is a sage and Emma is a fool) or David is a sage),\" Mat... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1377, \"statements\": [[\"and\", [\"telling-truth\", 7], [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 8]], [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 5]], [\"->\", [\"l... | {"split": "train", "index": 14711} |
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 9 inhabitants: Victoria, Olivia, Abigail, Owen, Ava, Samuel, Alexander, Michael, and Scarlett. Victoria expressed that Olivia is a sage. \"Ava is a fool,\" Olivia mention... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1378, \"statements\": [[\"not\", [\"lying\", 1]], [\"lying\", 4], [\"or\", [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 5]]], [\"<=>\", [\"->\", [\"tel... | {"split": "train", "index": 14712} |
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 9 inhabitants: Henry, Ella, Luke, Aiden, Grace, William, Elizabeth, James, and Mason. \"Aiden is a hero,\" Henry declared. According to Ella, \"if ((James is a vill... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1379, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"<=>\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 6]], [\"telling-truth\", 5]], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 7], [\"<=>\", [\"and\", [\"telling-tr... | {"split": "train", "index": 14713} |
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 9 inhabitants: Oliver, Sofia, David, Scarlett, Charlotte, Ava, Liam, Logan, and Daniel. In a statement by Oliver: \"if Sofia is a villain then ((Liam is a villain o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1380, \"statements\": [[\"->\", [\"lying\", 1], [\"<=>\", [\"or\", [\"lying\", 6], [\"lying\", 2]], [\"->\", [\"lying\", 1], [\"telling-truth\", 0]]]], [\"or\", [\"not\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 7]]], [\"... | {"split": "train", "index": 14714} |
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 9 inhabitants: Aiden, Zoey, Mia, Lily, Charlotte, Owen, Isabella, Sebastian, and Riley. Aiden asserted: \"(it is not the case that (Isabella is a devil and Zoey is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1381, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"lying\", 6], [\"lying\", 1]]], [\"telling-truth\", 2]], [\"lying\", 0], [\"->\", [\"not\", [\"<=>\", [\"lying\", 6], [\"lying\", 3]]], [\"->\", [\"not\", [\"lying\", 0]],... | {"split": "train", "index": 14715} |
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 9 inhabitants: Riley, Emily, Noah, Elizabeth, Lily, Mia, Ava, William, and Amelia. \"if Mia is a hero then ((if William is a hero then Noah is a villain) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1382, \"statements\": [[\"->\", [\"telling-truth\", 5], [\"<=>\", [\"->\", [\"telling-truth\", 7], [\"lying\", 2]], [\"telling-truth\", 8]]], [\"and\", [\"or\", [\"->\", [\"lying\", 5], [\"telling-truth\", 1]], [\"<=>\", [\"ly... | {"split": "train", "index": 14716} |
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 9 inhabitants: Ava, Chloe, Mia, Sofia, Charlotte, Elizabeth, Harper, Logan, and Penelope. According to Ava, \"Sofia is a sinner\". Chloe noted, \"if Charlotte is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1383, \"statements\": [[\"lying\", 3], [\"->\", [\"lying\", 4], [\"or\", [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 5], [\"telling-truth\", 7]]]], [\"and\", [\"and\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 0... | {"split": "train", "index": 14717} |
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 9 inhabitants: Samuel, Harper, Owen, Charlotte, Aurora, Riley, Henry, Michael, and Alexander. Samuel noted, \"Henry is an egoist\". According to Harper, \"(Sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1384, \"statements\": [[\"lying\", 6], [\"or\", [\"<=>\", [\"lying\", 0], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"lying\", 7], [\"lying\", 4]]]], [\"or\", [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-... | {"split": "train", "index": 14718} |
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 9 inhabitants: Liam, David, Penelope, Lily, Alexander, Daniel, Aiden, Victoria, and Elizabeth. Liam asserted: \"if Alexander is a knight then ((Daniel is a knight) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1385, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"and\", [\"not\", [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]]]], [\"->\", [\"not\", [\"->\", [\"lying\", 8], [\"lying\", 0]]], [\"and\", [\"<=>\"... | {"split": "train", "index": 14719} |
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 9 inhabitants: Charlotte, Ethan, Penelope, William, James, Aurora, Chloe, Samuel, and Owen. Charlotte remarked, \"(Aurora is a knave and (Owen is a knight if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1386, \"statements\": [[\"and\", [\"and\", [\"lying\", 5], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 7]]], [\"not\", [\"not\", [\"telling-truth\", 4]]]], [\"and\", [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 7]],... | {"split": "train", "index": 14720} |
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 9 inhabitants: Mason, Abigail, Grace, Penelope, Lily, Riley, Oliver, Avery, and Alexander. Mason stated, \"Avery is a fool\". As Abigail put it, \"((Avery is a fool and G... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1387, \"statements\": [[\"lying\", 7], [\"<=>\", [\"and\", [\"and\", [\"lying\", 7], [\"lying\", 2]], [\"not\", [\"telling-truth\", 8]]], [\"->\", [\"and\", [\"telling-truth\", 7], [\"lying\", 7]], [\"and\", [\"telling-truth\"... | {"split": "train", "index": 14721} |
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 9 inhabitants: Owen, Mia, Emma, James, David, Sebastian, Mason, Daniel, and Lily. Owen said, \"((if Sebastian is a laggard then Owen is a pioneer) and (David ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1388, \"statements\": [[\"and\", [\"and\", [\"->\", [\"lying\", 5], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 1], [\"lying\", 3]]]], ... | {"split": "train", "index": 14722} |
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 9 inhabitants: Oliver, Evelyn, Zoey, Sofia, Noah, Henry, Avery, James, and Ella. Oliver noted, \"(if (Sofia is a knave or Ella is a knave) then (Sofia is a knight a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1389, \"statements\": [[\"or\", [\"->\", [\"or\", [\"lying\", 3], [\"lying\", 8]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 7]]], [\"->\", [\"->\", [\"lying\", 6], [\"telling-truth\", 3]], [\"telling-truth\", 6]]]... | {"split": "train", "index": 14723} |
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 9 inhabitants: Oliver, Samuel, Charlotte, Joseph, William, Zoey, Ella, Michael, and Sofia. Oliver stated, \"((Michael is a sinner or Joseph is a saint) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1390, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"lying\", 7], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 5]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"lying\", 4]... | {"split": "train", "index": 14724} |
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 9 inhabitants: Liam, Alexander, Lucas, Mia, Isabella, Riley, Emma, Aurora, and Evelyn. Liam said that Mia is a knight. \"it is not the case that ((Emma is a knight ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1391, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 0], [\"lying\", 7]]]], [\"and\", [\"<=>\", [\"not\", [\"lying\", 5]], [... | {"split": "train", "index": 14725} |
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 9 inhabitants: Scarlett, Jacob, Oliver, Grace, Charlotte, Mia, Daniel, Chloe, and Aria. Scarlett asserted: \"Mia is an altruist\". Jacob remarked, \"(if (if M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1392, \"statements\": [[\"telling-truth\", 5], [\"or\", [\"->\", [\"->\", [\"lying\", 5], [\"lying\", 8]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"->\", [\"lying\", 4], [\"or\", [\"telling-truth\", 7], [\"lying\... | {"split": "train", "index": 14726} |
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 9 inhabitants: Liam, Aria, Victoria, Henry, Aurora, Emily, David, Jacob, and Avery. \"it is not the case that ((Henry is an altruist if and only if Jacob is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1393, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 7]], [\"not\", [\"telling-truth\", 8]]]], [\"->\", [\"and\", [\"<=>\", [\"lying\", 5], [\"lying\", 0]], [\"or\", [\"telling-truth\", 1], ... | {"split": "train", "index": 14727} |
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 9 inhabitants: Daniel, Mason, Zoey, Lucas, Michael, Sofia, Amelia, Ella, and James. \"((Amelia is a sinner or Lucas is a sinner) and Mason is a saint) and ((Lucas i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1394, \"statements\": [[\"and\", [\"and\", [\"or\", [\"lying\", 6], [\"lying\", 3]], [\"telling-truth\", 1]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"not\", [\"telling-truth\", 6]]]], [\"not\", [\"->\", ... | {"split": "train", "index": 14728} |
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 9 inhabitants: Jackson, Daniel, Riley, Zoey, Aiden, Harper, James, Aurora, and Isabella. Jackson noted, \"Isabella is a knave\". Daniel noted, \"((Aiden is a knave)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1395, \"statements\": [[\"lying\", 8], [\"or\", [\"or\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"->\", [\"and\", [\"lying\", 8], [\"lying\", 0]], [\"->\", [\"lying\", 7], [\"te... | {"split": "train", "index": 14729} |
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 9 inhabitants: Chloe, Riley, Penelope, Mia, Harper, Olivia, Samuel, Mason, and Ethan. Chloe told you that (if (Harper is a saint) then (Ethan is a saint or Mia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1396, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 8], [\"lying\", 3]]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 8]]]... | {"split": "train", "index": 14730} |
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 9 inhabitants: Grace, Emily, Avery, Abigail, Sofia, Lily, Penelope, Matthew, and Liam. Grace expressed that ((Liam is a fool and Lily is a fool) if and only if (if Abigai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1397, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"lying\", 8], [\"lying\", 5]], [\"->\", [\"telling-truth\", 3], [\"lying\", 8]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\",... | {"split": "train", "index": 14731} |
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 9 inhabitants: Harper, Logan, Sophia, Benjamin, Evelyn, Ethan, Zoey, James, and Elizabeth. Harper told you that ((James is an altruist if and only if Sophia i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1398, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 2]], [\"or\", [\"lying\", 2], [\"lying\", 5]]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"telling-truth\", 6]]], [\"<... | {"split": "train", "index": 14732} |
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 9 inhabitants: Sofia, Matthew, Victoria, Charlotte, Lily, Grace, William, Henry, and Emily. \"it is not the case that (if (Emily is a saint) then (Victoria is a sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1399, \"statements\": [[\"not\", [\"->\", [\"not\", [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 6]]]], [\"not\", [\"or\", [\"not\", [\"lying\", 6]], [\"not\", [\"telling-truth\", 8]]]], [\"not\", [\"<=>\", [... | {"split": "train", "index": 14733} |
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 9 inhabitants: Luke, Lily, Logan, Sofia, Jack, Noah, Aurora, Harper, and Jackson. Luke noted, \"(it is not the case that (Harper is a sinner if and only if Logan is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1400, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 2]]], [\"lying\", 7]], [\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 6]], [\"or\", [\"telling-truth\", 2], [\"lying\", ... | {"split": "train", "index": 14734} |
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 9 inhabitants: Lucas, Jacob, Penelope, Grace, Sofia, Aurora, Liam, Evelyn, and Jack. In Lucas's words: \"Aurora is a knight\". Jacob told you that ((Aurora is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1401, \"statements\": [[\"telling-truth\", 5], [\"or\", [\"or\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 8]]], [\"telling-truth\", 7]], [\"not\", [\"and\", [\"and... | {"split": "train", "index": 14735} |
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 9 inhabitants: Matthew, Samuel, Ethan, Michael, Ava, Emily, Mia, Harper, and Amelia. Matthew expressed that Harper is a fool and ((Samuel is a sage and Samuel is a fool) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1402, \"statements\": [[\"and\", [\"lying\", 7], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1]], [\"not\", [\"lying\", 8]]]], [\"lying\", 8], [\"or\", [\"or\", [\"not\", [\"telling-truth\", 8]], [\"or\", [\"tellin... | {"split": "train", "index": 14736} |
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 9 inhabitants: Daniel, Emily, Michael, James, Sofia, Ella, Aurora, Samuel, and Jacob. Daniel asserted: \"(Michael is a laggard if and only if Aurora is a pion... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1403, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 6]], [\"not\", [\"not\", [\"lying\", 3]]]], [\"and\", [\"<=>\", [\"<=>\", [\"lying\", 5], [\"lying\", 0]], [\"->\", [\"telling-truth\", 3], [\"tell... | {"split": "train", "index": 14737} |
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 9 inhabitants: Riley, Chloe, Evelyn, Noah, Aria, Ava, Jackson, Emma, and Henry. \"Noah is a hero and (it is not the case that (Chloe is a hero if and only if Evelyn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1404, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]]], [\"and\", [\"lying\", 2], [\"telling-truth\", 2]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"... | {"split": "train", "index": 14738} |
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 9 inhabitants: Aiden, Jack, Matthew, Jacob, Aria, Harper, Ava, Daniel, and James. According to Aiden, \"Aria is an egoist and Jacob is an altruist\". \"Harper... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1405, \"statements\": [[\"and\", [\"lying\", 4], [\"telling-truth\", 3]], [\"lying\", 5], [\"<=>\", [\"telling-truth\", 6], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 1], ... | {"split": "train", "index": 14739} |
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 9 inhabitants: Victoria, Samuel, Ava, Harper, Benjamin, Joseph, Lucas, Amelia, and Mason. \"(it is not the case that (Joseph is a sinner)) if and only if (Benjamin ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1406, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 5]]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"not\", [\"lying\", 7]]]], [\"telling-truth\", 0], [\"and\", [\"and\", [\"or\", [\"tellin... | {"split": "train", "index": 14740} |
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 9 inhabitants: Daniel, Emma, Samuel, Penelope, Aria, Alexander, James, Elizabeth, and Lucas. \"((Aria is a hero if and only if James is a hero) and (James is a vill... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1407, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"and\", [\"lying\", 6], [\"lying\", 1]]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 8], [\"... | {"split": "train", "index": 14741} |
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 9 inhabitants: Luke, Michael, Henry, Charlotte, Harper, Aurora, Scarlett, Samuel, and Oliver. Luke said, \"(Michael is a knave if and only if (Samuel is a knave or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1408, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 1], [\"or\", [\"lying\", 7], [\"lying\", 8]]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 2], [\"lying\", 4]]]], [\"->\", [\"<=>\", [\"and\", [\"tell... | {"split": "train", "index": 14742} |
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 9 inhabitants: Alexander, Charlotte, Daniel, Evelyn, Noah, Aria, Victoria, Mason, and Scarlett. \"Scarlett is an egoist,\" Alexander claimed. \"Alexander is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1409, \"statements\": [[\"lying\", 8], [\"lying\", 0], [\"not\", [\"not\", [\"not\", [\"lying\", 1]]]], [\"<=>\", [\"and\", [\"lying\", 0], [\"and\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"->\", [\"lying\", 1], [\"not\",... | {"split": "train", "index": 14743} |
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 9 inhabitants: Victoria, Jacob, Oliver, Emma, Ava, Ella, Noah, Grace, and Daniel. \"((Victoria is an altruist and Grace is an egoist) and (Ella is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1410, \"statements\": [[\"and\", [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 3]]], [\"lying\", 3]], [\"not\", [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 7]]]],... | {"split": "train", "index": 14744} |
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 9 inhabitants: Grace, Matthew, Abigail, David, Amelia, Riley, William, Noah, and Aurora. Grace remarked, \"(if (if Noah is a saint then Abigail is a sinner) then (W... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1411, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 7], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 8]]], [\"->\", [\"not\", [\"telling-truth\", 7]], [\"not\", [\"lying\", 7]]]], [... | {"split": "train", "index": 14745} |
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 9 inhabitants: Aria, Sofia, Chloe, Amelia, Scarlett, Noah, Oliver, Abigail, and Harper. Aria said, \"it is not the case that ((Amelia is a devil and Oliver is an ange... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1412, \"statements\": [[\"not\", [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 6]], [\"or\", [\"lying\", 1], [\"telling-truth\", 3]]]], [\"not\", [\"->\", [\"and\", [\"telling-truth\", 7], [\"lying\", 0]], [\"not\", [... | {"split": "train", "index": 14746} |
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 9 inhabitants: Ethan, Zoey, Riley, Chloe, Victoria, Emma, Oliver, Sophia, and Henry. Ethan commented, \"if (Sophia is a knave and Zoey is a knave) then Chloe is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1413, \"statements\": [[\"->\", [\"and\", [\"lying\", 7], [\"lying\", 1]], [\"telling-truth\", 3]], [\"<=>\", [\"not\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"lying\", 0], [\"lying\"... | {"split": "train", "index": 14747} |
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 9 inhabitants: Joseph, Sebastian, Avery, Chloe, James, Mason, Elizabeth, Jacob, and Jack. Joseph expressed that Jack is an angel if and only if (if (if Avery is a dev... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1414, \"statements\": [[\"<=>\", [\"telling-truth\", 8], [\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 8]], [\"lying\", 3]]], [\"telling-truth\", 3], [\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-trut... | {"split": "train", "index": 14748} |
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 9 inhabitants: Michael, Emily, Mason, Riley, Emma, Lily, Joseph, Scarlett, and Ethan. \"(if (Emily is a fool) then (Emma is a sage if and only if Scarlett is a sage)) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1415, \"statements\": [[\"or\", [\"->\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 7]]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 6]]]], [\"or\", [\"<=>\", [\"->\", ... | {"split": "train", "index": 14749} |
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 9 inhabitants: Sophia, Elizabeth, Charlotte, Abigail, Jackson, Benjamin, Samuel, James, and Aria. \"((Elizabeth is a sage) and (Benjamin is a fool and Abigail is a sage))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1416, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"lying\", 1]], [\"and\", [\"lying\", 5], [\"telling-truth\", 3]]], [\"<=>\", [\"lying\", 8], [\"and\", [\"telling-truth\", 0], [\"lying\", 3]]]], [\"and\", [\"->\", [\"<=>... | {"split": "train", "index": 14750} |
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 9 inhabitants: Charlotte, Lily, Noah, Harper, Ella, Abigail, Avery, Riley, and Victoria. Charlotte noted, \"(if (Harper is an angel or Abigail is a devil) then Riley ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1417, \"statements\": [[\"and\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 5]], [\"lying\", 7]], [\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 5]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]]]], [\"... | {"split": "train", "index": 14751} |
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 9 inhabitants: Noah, James, Ethan, Scarlett, Amelia, Emma, Daniel, William, and Penelope. In Noah's words: \"((if Amelia is an altruist then Scarlett is an eg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1418, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"telling-truth\", 7]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"or\", [\"lying\", 2], [\"lying\", 5]]]... | {"split": "train", "index": 14752} |
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 9 inhabitants: David, Ava, Harper, Scarlett, Elizabeth, Penelope, Alexander, Avery, and Sebastian. According to David, \"(if (Scarlett is a sinner if and only if Ha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1419, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 6]]], [\"not\", [\"and\", [\"lying\", 6], [\"telling-truth\", 4]]]], [\"and\", [\"->\", [... | {"split": "train", "index": 14753} |
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 9 inhabitants: Ava, Michael, Matthew, Sophia, Sebastian, Amelia, Owen, Grace, and Penelope. Ava noted, \"it is not the case that (if (Grace is an angel if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1420, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 5]], [\"->\", [\"lying\", 8], [\"lying\", 2]]]], [\"not\", [\"and\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 2]], [\"->\", [... | {"split": "train", "index": 14754} |
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 9 inhabitants: Aiden, Sofia, Oliver, Jacob, Zoey, Noah, Evelyn, Liam, and Emma. In Aiden's words: \"((if Sofia is a pioneer then Oliver is a pioneer) or (Emma... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1421, \"statements\": [[\"and\", [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"not\", [\"lying\", 8]]], [\"lying\", 1]], [\"not\", [\"not\", [\"lying\", 6]]], [\"and\", [\"->\", [\"telling-truth\", 6], ... | {"split": "train", "index": 14755} |
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 9 inhabitants: Ava, David, Aria, Emma, Henry, Evelyn, James, Liam, and Oliver. According to Ava, \"it is not the case that ((Henry is a hero or Aria is a hero) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1422, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]]]], [\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 6]], [\"telling-truth\", 5]], [... | {"split": "train", "index": 14756} |
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 9 inhabitants: James, Zoey, Victoria, Chloe, Ella, Oliver, Aria, Luke, and Emily. James asserted: \"((Zoey is a hero or Oliver is a hero) or (Aria is a hero or Emil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1423, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 8]]], [\"<=>\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 6], ... | {"split": "train", "index": 14757} |
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 9 inhabitants: Charlotte, Lucas, Lily, Jack, Elizabeth, Amelia, Aurora, Riley, and Aiden. As Charlotte put it, \"(if (Amelia is an altruist if and only if Aid... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1424, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 8]], [\"not\", [\"lying\", 5]]], [\"or\", [\"or\", [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\", 2]]]], [\... | {"split": "train", "index": 14758} |
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 9 inhabitants: Daniel, Chloe, Charlotte, Samuel, Alexander, Aiden, Amelia, Henry, and Abigail. Daniel told you that ((Abigail is a hero if and only if Amelia is a h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1425, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 6]], [\"lying\", 2]], [\"->\", [\"->\", [\"lying\", 6], [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 4], [\"lying\", 6]]]], [\"an... | {"split": "train", "index": 14759} |
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 9 inhabitants: Grace, Joseph, Evelyn, Victoria, Elizabeth, Sophia, Liam, Abigail, and Amelia. Grace was heard saying, \"if (if Evelyn is a villain then (Evelyn is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1426, \"statements\": [[\"->\", [\"->\", [\"lying\", 2], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"telling-truth\", 6], [\"lying\", 7]]]... | {"split": "train", "index": 14760} |
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 9 inhabitants: Charlotte, Michael, William, Noah, Avery, Isabella, Abigail, Grace, and Jacob. Charlotte was heard saying, \"((if Michael is a pioneer then Noa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1427, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"lying\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\",... | {"split": "train", "index": 14761} |
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 9 inhabitants: William, Harper, Liam, Riley, Emily, Lucas, Victoria, Abigail, and Isabella. \"((Harper is a hero or Victoria is a hero) or (Lucas is a hero or Victo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1428, \"statements\": [[\"or\", [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 6]]], [\"and\", [\"lying\", 5], [\"->\", [\"lying\", 5], [\"telling-truth\... | {"split": "train", "index": 14762} |
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 9 inhabitants: Scarlett, Sebastian, Logan, Henry, Joseph, Mia, Aria, Victoria, and Chloe. According to Scarlett, \"Mia is a villain\". Sebastian was heard saying, \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1429, \"statements\": [[\"lying\", 5], [\"or\", [\"telling-truth\", 5], [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 6]]]], [\"not\", [\"->\", [\"not\", [\"lying\", 5]], [\"->\", [\"telling-truth\", 2], [\"lying\", 4... | {"split": "train", "index": 14763} |
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 9 inhabitants: Joseph, Ella, James, Jack, Amelia, Jackson, William, Sebastian, and Benjamin. Joseph commented, \"Jackson is a laggard or (if (Jackson is a lag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1430, \"statements\": [[\"or\", [\"lying\", 5], [\"->\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 6]], [\"not\", [\"lying\", 1]]]], [\"and\", [\"not\", [\"or\", [\"lying\", 2], [\"lying\", 0]]], [\"or\", [\"->\", [\"lying... | {"split": "train", "index": 14764} |
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 9 inhabitants: Alexander, Olivia, Isabella, Abigail, Michael, Grace, Harper, Lucas, and Mia. Alexander asserted: \"((Isabella is a devil) if and only if (Michael is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1431, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"telling-truth\", 3]], [\"<=>\", [\"<=>\", [\"and\", [\"lying\", 8], [\"lying\", 5]], [\"and\", [\"lying\", 7]... | {"split": "train", "index": 14765} |
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 9 inhabitants: Luke, Jacob, Victoria, Sofia, Grace, Aiden, Lucas, Lily, and Olivia. Luke commented, \"if Grace is a fool then ((if Olivia is a fool then Olivia is a sage)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1432, \"statements\": [[\"->\", [\"lying\", 4], [\"and\", [\"->\", [\"lying\", 8], [\"telling-truth\", 8]], [\"or\", [\"lying\", 4], [\"lying\", 3]]]], [\"and\", [\"not\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 0]]], [\... | {"split": "train", "index": 14766} |
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 9 inhabitants: Henry, Harper, Avery, Emma, Riley, Abigail, Logan, Ella, and Sophia. \"(Riley is a sage if and only if (Avery is a sage if and only if Abigail is a fool)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1433, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 5]]], [\"->\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"lyi... | {"split": "train", "index": 14767} |
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 9 inhabitants: Sebastian, Daniel, William, Noah, Elizabeth, James, David, Joseph, and Harper. Sebastian expressed that (it is not the case that (David is an angel)) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1434, \"statements\": [[\"and\", [\"not\", [\"not\", [\"lying\", 6]]], [\"telling-truth\", 3]], [\"->\", [\"<=>\", [\"or\", [\"lying\", 8], [\"lying\", 6]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 7]]], [\"telling... | {"split": "train", "index": 14768} |
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 9 inhabitants: Jacob, Liam, Michael, Aiden, David, Aurora, Chloe, Harper, and Ella. \"(it is not the case that (Aurora is a fool or Michael is a sage)) if and only if ((i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1435, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"lying\", 5], [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"and\", [\"lying\", 1], [\"telling-truth\", 1]]]], [\"telling-truth\", 6], [\"... | {"split": "train", "index": 14769} |
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 9 inhabitants: Ethan, Sebastian, Evelyn, Daniel, Olivia, Aiden, Mason, Jack, and Sophia. Ethan said that Mason is a knight. Sebastian commented, \"(Sophia is a knav... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1436, \"statements\": [[\"not\", [\"lying\", 6]], [\"or\", [\"<=>\", [\"lying\", 8], [\"and\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"and\", [\"or\", [\"lying\", 5], [\"lying\", 6]], [\"not\", [\"telling-truth\", 0]]]], ... | {"split": "train", "index": 14770} |
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 9 inhabitants: Aria, Ava, Olivia, Sebastian, Alexander, Noah, Owen, James, and Chloe. Aria expressed that ((Alexander is a knave) or (Owen is a knight or Ava is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1437, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 6], [\"lying\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]]], [\"->\", [\"or\", [\"<=>\",... | {"split": "train", "index": 14771} |
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 9 inhabitants: Logan, David, Jackson, Benjamin, Aurora, Emma, Avery, Scarlett, and Lily. Logan said that ((Avery is a knave and Jackson is a knight) or (Logan is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1438, \"statements\": [[\"or\", [\"or\", [\"and\", [\"lying\", 6], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"<=>\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 7]], [\"<=>\", [\"lying\",... | {"split": "train", "index": 14772} |
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 9 inhabitants: Jackson, James, Mia, Luke, Emily, Sofia, Aria, Elizabeth, and Aiden. In Jackson's words: \"if ((Aria is an altruist) and (Sofia is an egoist if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1439, \"statements\": [[\"->\", [\"and\", [\"not\", [\"lying\", 6]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"lying\", 6], [\"lying\", 8]], [\"->\", [\"telling-truth\", 7], [\"lying\", 7]]]], ... | {"split": "train", "index": 14773} |
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 9 inhabitants: Amelia, Scarlett, David, James, Elizabeth, Owen, Logan, Grace, and Ava. Amelia commented, \"it is not the case that (if (Elizabeth is a knight if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1440, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 8]]]], [\"and\", [\"lying\", 7], [\"or\", [\"telling-truth\", 1], [\"<=>\", [\"lying\", 3], [\"... | {"split": "train", "index": 14774} |
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 9 inhabitants: William, Isabella, Ava, Noah, Victoria, Harper, Alexander, Mason, and Mia. \"it is not the case that ((if Mia is a pioneer then Alexander is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1441, \"statements\": [[\"not\", [\"and\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 8]]]], [\"not\", [\"lying\", 3]], [\"or\", [\"not\", [\"telling-truth\"... | {"split": "train", "index": 14775} |
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 9 inhabitants: Owen, Zoey, Alexander, Aurora, Avery, Luke, Scarlett, Ella, and Jackson. According to Owen, \"((if Luke is a knave then Alexander is a knave) and (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1442, \"statements\": [[\"and\", [\"and\", [\"->\", [\"lying\", 5], [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 8]]]], [\"->\", [\"... | {"split": "train", "index": 14776} |
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 9 inhabitants: Owen, Aurora, Riley, Ella, William, Olivia, Joseph, Victoria, and Sofia. Owen told you that it is not the case that (if (if Aurora is a villain then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1443, \"statements\": [[\"not\", [\"->\", [\"->\", [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 6]]]], [\"or\", [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"and\", [\"lying\"... | {"split": "train", "index": 14777} |
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 9 inhabitants: Ava, Joseph, Jack, William, Amelia, Alexander, Chloe, Benjamin, and Owen. Ava said, \"((if Joseph is an altruist then Alexander is an egoist) i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1444, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 5]], [\"and\", [\"lying\", 6], [\"telling-truth\", 0]]], [\"or\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"not\", [\"l... | {"split": "train", "index": 14778} |
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 9 inhabitants: Sebastian, Aria, Daniel, Michael, Mia, Olivia, Sophia, Luke, and Ella. Sebastian told you that ((Olivia is a knave and Ella is a knave) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1445, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"lying\", 5], [\"lying\", 8]], [\"or\", [\"telling-truth\", 8], [\"lying\", 6]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"or\", [\"telling-tr... | {"split": "train", "index": 14779} |
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 9 inhabitants: Daniel, Mason, Scarlett, James, Noah, Joseph, Evelyn, Emily, and Samuel. Daniel noted, \"if ((James is an altruist if and only if Scarlett is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1446, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"telling-truth\", 8]], [\"->\", [\"<=>\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 3]], [\... | {"split": "train", "index": 14780} |
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 9 inhabitants: Amelia, Zoey, Abigail, Owen, Jack, Scarlett, Aiden, Chloe, and Mia. Amelia said that ((Zoey is a devil) or (if Jack is a devil then Owen is a devil)) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1447, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 5]]]], [\"<=>\", [\"or\", [\"and\", [\"telling-tru... | {"split": "train", "index": 14781} |
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 9 inhabitants: Owen, Jacob, James, Ethan, Lucas, Charlotte, Harper, Aiden, and Zoey. In a statement by Owen: \"if (it is not the case that (Lucas is a hero if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1448, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 5]]], [\"->\", [\"or\", [\"lying\", 8], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 7]]]], [\"->\", [\"... | {"split": "train", "index": 14782} |
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 9 inhabitants: Benjamin, Joseph, Aiden, Mason, Sebastian, Oliver, Grace, Liam, and Ethan. \"((Oliver is a knave if and only if Joseph is a knight) or Aiden is a kna... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1449, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 1]], [\"lying\", 2]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 6]]], [\"telling-truth\", 1], [\"not\", [\"->\", [\"lying\", 0], [\"an... | {"split": "train", "index": 14783} |
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 9 inhabitants: Charlotte, Luke, Sebastian, Henry, Ava, Emily, Aurora, Jacob, and Riley. \"((Jacob is an altruist and Aurora is an egoist) or (Riley is an egoi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1450, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 7], [\"lying\", 6]], [\"or\", [\"lying\", 8], [\"telling-truth\", 0]]], [\"<=>\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 0]], [\"->\", [\"ly... | {"split": "train", "index": 14784} |
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 9 inhabitants: Jacob, Evelyn, Zoey, Oliver, Olivia, Samuel, Mia, Isabella, and Sebastian. Jacob told you that (Zoey is an egoist) and ((if Sebastian is an alt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1451, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"->\", [\"telling-truth\", 8], [\"lying\", 6]], [\"not\", [\"lying\", 2]]]], [\"lying\", 0], [\"->\", [\"or\", [\"or\", [\"lying\", 7], [\"lying\"... | {"split": "train", "index": 14785} |
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 9 inhabitants: Mia, Elizabeth, Henry, Mason, Oliver, Matthew, Harper, Abigail, and Jackson. Mia remarked, \"(Mason is a fool and Elizabeth is a sage) and Elizabeth is a f... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1452, \"statements\": [[\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1]], [\"lying\", 1]], [\"<=>\", [\"->\", [\"->\", [\"lying\", 7], [\"lying\", 6]], [\"->\", [\"telling-truth\", 1], [\"lying\", 6]]], [\"not\", [\"... | {"split": "train", "index": 14786} |
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 9 inhabitants: Abigail, Ella, Ethan, Oliver, Mia, Lucas, Aria, Chloe, and Alexander. Abigail was heard saying, \"if ((Oliver is a sage if and only if Ethan is a fool) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1453, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 5]], [\"and\", [\"te... | {"split": "train", "index": 14787} |
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 9 inhabitants: Benjamin, Michael, Logan, Sebastian, Charlotte, Samuel, David, Jacob, and Ava. In Benjamin's words: \"((if Samuel is a fool then Michael is a fool) and (Lo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1454, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"lying\", 5], [\"lying\", 1]], [\"and\", [\"telling-truth\", 2], [\"lying\", 6]]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 7]], [\"lying\", 8]]], [\"not\", [... | {"split": "train", "index": 14788} |
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 9 inhabitants: Victoria, Charlotte, Emily, William, Michael, Jack, Matthew, Jacob, and Logan. Victoria asserted: \"Logan is a hero if and only if ((Charlotte is a v... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1455, \"statements\": [[\"<=>\", [\"telling-truth\", 8], [\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 4]]]], [\"not\", [\"and\", [\"not\", [\"lying\", 7]], [... | {"split": "train", "index": 14789} |
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 9 inhabitants: Jack, Oliver, Emma, Aiden, Olivia, Samuel, Lily, Alexander, and Ava. In a statement by Jack: \"Olivia is a hero\". \"if Jack is a villain then ((Alex... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1456, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"lying\", 0], [\"or\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 6], [\"lying\", 2]]]], [\"->\", [\"->\", [\"->\", [\"tell... | {"split": "train", "index": 14790} |
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 9 inhabitants: Lily, Luke, Jackson, Evelyn, Michael, Harper, William, Zoey, and Aiden. Lily stated, \"Evelyn is an egoist\". As Luke put it, \"it is not the c... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1457, \"statements\": [[\"lying\", 3], [\"not\", [\"<=>\", [\"lying\", 0], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 8]]]], [\"lying\", 7], [\"<=>\", [\"telling-truth\", 1], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"l... | {"split": "train", "index": 14791} |
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 9 inhabitants: Mia, Grace, Amelia, Penelope, Jack, Mason, Ella, Liam, and Sofia. Mia asserted: \"Sofia is an angel and ((if Amelia is a devil then Ella is an angel) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1458, \"statements\": [[\"and\", [\"telling-truth\", 8], [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 6]], [\"and\", [\"lying\", 4], [\"telling-truth\", 8]]]], [\"lying\", 3], [\"<=>\", [\"and\", [\"->\", [\"telling-... | {"split": "train", "index": 14792} |
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 9 inhabitants: Scarlett, Liam, Emily, Amelia, Ava, Noah, Sebastian, Ethan, and Sophia. In a statement by Scarlett: \"Amelia is an altruist\". Liam said, \"(Se... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1459, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"and\", [\"lying\", 6], [\"or\", [\"lying\", 8], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"telling-truth\", 8], [\"lying\", 4]]]], [\"telling-truth\", 0], [\"->\... | {"split": "train", "index": 14793} |
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 9 inhabitants: Grace, Logan, Lily, Avery, Charlotte, Lucas, Samuel, Oliver, and Sophia. Grace asserted: \"if ((Samuel is a saint or Oliver is a saint) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1460, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\... | {"split": "train", "index": 14794} |
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 9 inhabitants: Henry, Grace, Penelope, Zoey, Jack, Liam, Daniel, Benjamin, and Chloe. Henry noted, \"it is not the case that (it is not the case that (if Jack... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1461, \"statements\": [[\"not\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 8]]]], [\"and\", [\"telling-truth\", 0], [\"lying\", 5]], [\"and\", [\"telling-truth\", 3], [\"not\", [\"and\", [\"telling-truth\", 3], [\... | {"split": "train", "index": 14795} |
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 9 inhabitants: Chloe, Isabella, Ella, Matthew, Aria, Jackson, Evelyn, Noah, and Oliver. \"(Jackson is a saint or (Jackson is a sinner and Evelyn is a saint)) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1462, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 5], [\"and\", [\"lying\", 5], [\"telling-truth\", 6]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 3]]]], [\"o... | {"split": "train", "index": 14796} |
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 9 inhabitants: Emma, Ella, Logan, Joseph, Mia, Charlotte, Sebastian, Owen, and Abigail. Emma expressed that Ella is an egoist. As Ella put it, \"((Mia is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1463, \"statements\": [[\"lying\", 1], [\"<=>\", [\"or\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 0]], [\"or\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 8]]]], [\"not\", [\"not\",... | {"split": "train", "index": 14797} |
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 9 inhabitants: Lily, Emily, Victoria, Aiden, Emma, Harper, Michael, Aurora, and Owen. \"if (Emma is an angel or (if Emma is a devil then Aiden is a devil)) then ((Aid... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1464, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 4], [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"and\", [\"or\", [\"lying\", 3], [\"lying\", 1]], [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"<=>\", [\"telling-... | {"split": "train", "index": 14798} |
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 9 inhabitants: Owen, Lily, Victoria, Riley, Jack, Chloe, Alexander, Daniel, and Charlotte. \"if (it is not the case that (Jack is a villain)) then ((Jack is a hero ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1465, \"statements\": [[\"->\", [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1]], [\"telling-truth\", 7]]], [\"and\", [\"<=>\", [\"lying\", 5], [\"<=>\", [\"lying\", 4], [... | {"split": "train", "index": 14799} |
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