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 angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Evelyn, Chloe, Sophia, Mason, Joseph, Samuel, Mia, David, and Jackson. Evelyn noted, \"((Samuel is an angel if and only if Mia is a devil) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 744, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 6]], [\"and\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"lying\", 3], [\"and\", [\"telling-truth\", 6], [\"<=>\", [\"lying\", 5], [\"tel... | {"split": "train", "index": 16300} |
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: Charlotte, Ella, Abigail, Avery, Victoria, Evelyn, Grace, Matthew, and Michael. In a statement by Charlotte: \"it is not the case that (it is not the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 745, \"statements\": [[\"not\", [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]]], [\"telling-truth\", 6], [\"and\", [\"not\", [\"->\", [\"lying\", 8], [\"telling-truth\", 8]]], [\"or\", [\"not\", [\"telling-truth\"... | {"split": "train", "index": 16301} |
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: William, Samuel, Evelyn, Ava, Oliver, Aurora, Mia, Grace, and Victoria. William stated, \"Ava is a devil if and only if Ava is an angel\". Samuel told ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 746, \"statements\": [[\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]], [\"not\", [\"->\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 1]]]], [\"not\", [... | {"split": "train", "index": 16302} |
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: Owen, Elizabeth, Aurora, Lily, Henry, Mia, Sofia, Luke, and Evelyn. Owen remarked, \"(it is not the case that (if Henry is an angel then Mia is a devil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 747, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 5]]], [\"and\", [\"<=>\", [\"lying\", 6], [\"lying\", 7]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 6]], [\"->\... | {"split": "train", "index": 16303} |
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: Ava, Noah, Mia, Luke, Alexander, Harper, Evelyn, Samuel, and Scarlett. Ava asserted: \"((Luke is a knave or Noah is a knight or Noah is a knave) or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 748, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 1]], [\"not\", [\"lying\", 2]], [\"or\", [\"lying\", 6], [\"lying\", 8], [\"telling-truth\", 3]]], [\"and\", [\"->\", [\"lyi... | {"split": "train", "index": 16304} |
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: David, Lucas, Riley, Harper, Aria, Logan, Avery, Owen, and Aurora. David expressed that (if Avery is a hero then (Owen is a hero if and only if Logan... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 749, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 6], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 5]]], [\"->\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 1]]]], [\"or\", [\"or\", [\"and\", [\"... | {"split": "train", "index": 16305} |
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, Zoey, Lucas, Grace, Chloe, Abigail, Emily, Owen, and Aria. According to Mason, \"Chloe is a fool\". Zoey was heard saying, \"(Abigail is a sage and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 750, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"and\", [\"and\", [\"telling-truth\", 5], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 5], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 7... | {"split": "train", "index": 16306} |
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: David, Joseph, Liam, Aria, Chloe, Ella, Evelyn, Harper, and Charlotte. As David put it, \"if (if (Ella is a pioneer) then (Harper is a pioneer ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 751, \"statements\": [[\"->\", [\"->\", [\"not\", [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 8], [\"lying\", 8]], [\"and\", [\"telling-truth\", 3], [\"telling-tru... | {"split": "train", "index": 16307} |
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: Aiden, Charlotte, Matthew, Avery, David, Evelyn, Emily, James, and Michael. Aiden asserted: \"Emily is a hero\". Charlotte stated, \"((James is a her... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 752, \"statements\": [[\"telling-truth\", 6], [\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 7], [\"lying\", 5]], [\"not\", [\"telling-truth\", 7]]], [\"or\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"and... | {"split": "train", "index": 16308} |
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: Abigail, Olivia, Daniel, Grace, Logan, Noah, David, Harper, and Michael. \"it is not the case that ((David is a saint if and only if Harper is a sinn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 753, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 7]], [\"->\", [\"lying\", 7], [\"telling-truth\", 4]]]], [\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"or... | {"split": "train", "index": 16309} |
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: Aurora, Lucas, Olivia, Aria, Ella, Liam, Ava, Aiden, and Sophia. Aurora stated, \"it is not the case that (if (Lucas is a knight and Ava is a knave) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 754, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 6]], [\"and\", [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 4]]]], [\"not\", [\"not\", [\"not\", [\"telling-truth\", 8]]]], ... | {"split": "train", "index": 16310} |
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: Chloe, Daniel, James, Alexander, Grace, Avery, David, Sebastian, and Ava. \"James is a pioneer,\" Chloe mentioned. Daniel asserted: \"Chloe is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 755, \"statements\": [[\"not\", [\"lying\", 2]], [\"and\", [\"lying\", 0], [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 3], [\"lying\", 6]]]], [\"lying\", 8], [\"<=... | {"split": "train", "index": 16311} |
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: Matthew, David, Jack, Emma, Riley, Avery, Mia, Liam, and Jacob. Matthew commented, \"((David is an angel or Jacob is a devil) or (David is an angel if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 756, \"statements\": [[\"and\", [\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 7]]], [\"or\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 6]], [\"and\"... | {"split": "train", "index": 16312} |
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, Ethan, Jack, Samuel, Jacob, Sofia, Grace, Mia, and Victoria. Noah told you that (it is not the case that (Grace is an altruist or Jack is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 757, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 6], [\"lying\", 2], [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"lying... | {"split": "train", "index": 16313} |
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: William, Mia, Emma, Amelia, Olivia, Noah, Benjamin, Emily, and Sophia. William said that (it is not the case that (Amelia is an angel and Olivia is a d... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 758, \"statements\": [[\"and\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]]], [\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\... | {"split": "train", "index": 16314} |
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, Amelia, Evelyn, Victoria, Elizabeth, Matthew, Ava, Sophia, and Chloe. \"((Ava is a knave if and only if Chloe is a knave) if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 759, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"lying\", 6], [\"lying\", 8]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 6]]], [\"telling-truth\", 2]], [\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-t... | {"split": "train", "index": 16315} |
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, Isabella, Emma, Aiden, David, William, Victoria, Evelyn, and Owen. Harper commented, \"(it is not the case that (if William is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 760, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 6], [\"tell... | {"split": "train", "index": 16316} |
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: Aurora, Emma, Samuel, Oliver, Ava, Sofia, Mia, Amelia, and Daniel. \"(if (Oliver is a pioneer or Daniel is a pioneer or Daniel is a laggard) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 761, \"statements\": [[\"or\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 8], [\"lying\", 8]], [\"not\", [\"lying\", 2]]], [\"->\", [\"->\", [\"lying\", 6], [\"telling-truth\", 7]], [\"->\", [\"telling-truth... | {"split": "train", "index": 16317} |
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, Logan, Emily, Ella, Victoria, Avery, Isabella, James, and Penelope. \"(if (Sebastian is an angel and Penelope is a devil and Isabella is a d... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 762, \"statements\": [[\"or\", [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 8], [\"lying\", 6]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 5], ... | {"split": "train", "index": 16318} |
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: Oliver, Sofia, Ella, Liam, Matthew, Aria, Isabella, Victoria, and William. Oliver asserted: \"it is not the case that (if (Isabella is a laggar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 763, \"statements\": [[\"not\", [\"->\", [\"not\", [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 3]]]], [\"or\", [\"telling-truth\", 3], [\"->\", [\"->\", [\"telling-truth\", 7], [\"lying\", 0]... | {"split": "train", "index": 16319} |
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, Aurora, Emily, Riley, Samuel, Jacob, Daniel, Chloe, and Logan. Alexander was heard saying, \"(if (if Chloe is an egoist then Alexand... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 764, \"statements\": [[\"or\", [\"->\", [\"->\", [\"lying\", 7], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 6]], [\"<=>\", [\"tell... | {"split": "train", "index": 16320} |
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: Benjamin, Avery, Sophia, Ava, Jackson, Scarlett, William, David, and Joseph. Benjamin commented, \"it is not the case that ((Jackson is a hero if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 765, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"lying\", 7], [\"telling-truth\", 8]]]], [\"telling-truth\", 6], [\"or\", [\"and\", [\"and\", [\"telling-truth\", ... | {"split": "train", "index": 16321} |
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: Lily, Evelyn, Joseph, Michael, Penelope, Benjamin, Alexander, Scarlett, and Daniel. Lily commented, \"(if (Benjamin is a knight or Alexander is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 766, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 6], [\"telling-truth\", 0]], [\"->\", [\"lying\", 5], [\"lying\", 6]]], [\"lying\", 5]], [\"not\", [\"or\", [\"not\", [\"telling-tru... | {"split": "train", "index": 16322} |
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: Emily, Jack, Logan, David, Sofia, Emma, Avery, Sophia, and Lucas. According to Emily, \"(it is not the case that (if Sophia is a knave then Emily is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 767, \"statements\": [[\"and\", [\"not\", [\"->\", [\"lying\", 7], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"->\", [\"or\", [\"te... | {"split": "train", "index": 16323} |
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: Penelope, Samuel, Olivia, Owen, Mia, Jacob, Ethan, Alexander, and Jackson. Penelope expressed that it is not the case that ((Samuel is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 768, \"statements\": [[\"not\", [\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]]]], [\"or\", [\"lying\", 5], [\"or\", [\"not\", [\"lyi... | {"split": "train", "index": 16324} |
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: Matthew, Mia, Isabella, Benjamin, Jack, Luke, Victoria, James, and Henry. In a statement by Matthew: \"((Henry is an altruist if and only if Mi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 769, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"lying\", 3]], [\"not\", [\"->\", [\"telling-truth\", 7], [\"lying\", 8]]], [\"and\", [\"->\", [\"lying\", 1], [\"telling-t... | {"split": "train", "index": 16325} |
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: Joseph, Owen, Ella, Noah, Sophia, Michael, Scarlett, David, and William. Joseph remarked, \"David is a knave\". Owen noted, \"if ((Sophia is a knight... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 770, \"statements\": [[\"lying\", 7], [\"->\", [\"or\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 7... | {"split": "train", "index": 16326} |
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: Chloe, Lily, Mia, Mason, Avery, Luke, Lucas, Aria, and Jackson. \"((Chloe is a sage or Avery is a fool or Mia is a sage) if and only if Avery is a sage) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 771, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 2]], [\"telling-truth\", 4]], [\"not\", [\"and\", [\"telling-truth\", 6], [\"lying\", 1], [\"telling-truth\", 7]]]],... | {"split": "train", "index": 16327} |
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: Oliver, Henry, Mason, Avery, David, William, Chloe, Riley, and Samuel. Oliver expressed that if ((Mason is an angel) if and only if (Chloe is a devil a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 772, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"lying\", 2]], [\"and\", [\"lying\", 6], [\"telling-truth\", 6], [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]]], [\"<=>\", [\"telling... | {"split": "train", "index": 16328} |
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: Chloe, Liam, Joseph, Aria, Isabella, Samuel, Benjamin, Harper, and Mia. Chloe asserted: \"it is not the case that ((if Harper is an altruist th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 773, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 3]], [\"lying\", 5]]], [\"not\", [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 8]], [\"telling-truth\", 6]]], [\"not\", [\"... | {"split": "train", "index": 16329} |
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: Grace, Lily, Aurora, Victoria, Aria, Avery, William, Logan, and Luke. In a statement by Grace: \"it is not the case that ((if Lily is a devil then Will... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 774, \"statements\": [[\"not\", [\"or\", [\"->\", [\"lying\", 1], [\"lying\", 6]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 8]]]], [\"<=>\", [\"telling-tr... | {"split": "train", "index": 16330} |
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, Sophia, Penelope, Riley, Amelia, Abigail, Lucas, Noah, and James. \"if (it is not the case that (Amelia is a knight if and only if Amelia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 775, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"lying\", 1]], [\"and\", [\"telling-truth\", 1], [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-trut... | {"split": "train", "index": 16331} |
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, Henry, Samuel, Joseph, Charlotte, Mia, Jackson, Victoria, and Mason. Scarlett expressed that if ((Mason is a villain or Victoria is a hero)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 776, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"lying\", 8], [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 7], [\"lying\", 8]]]], [\"or\", [\"a... | {"split": "train", "index": 16332} |
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: Matthew, Henry, Aiden, Liam, Luke, Zoey, Sebastian, Victoria, and Lily. Matthew asserted: \"(Liam is an egoist if and only if (if Aiden is an e... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 777, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 3], [\"->\", [\"lying\", 2], [\"telling-truth\", 6]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 3], [\"lying\", 2]]]... | {"split": "train", "index": 16333} |
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, Olivia, Jackson, Emma, Lily, Samuel, Scarlett, Amelia, and Liam. Sebastian stated, \"(if (Lily is a devil and Emma is a devil and Lily is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 778, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying... | {"split": "train", "index": 16334} |
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, Evelyn, Jackson, Joseph, Zoey, Scarlett, Noah, Lily, and James. Owen expressed that ((if Lily is a hero then Jackson is a villain) and (James i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 779, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 7], [\"lying\", 2]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 4]]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"->\", [\"not\", [\"and\", [\... | {"split": "train", "index": 16335} |
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: James, Abigail, Alexander, Charlotte, Aurora, Riley, Ella, Jack, and Benjamin. James asserted: \"it is not the case that ((Jack is a knave) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 780, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 5], [\"lying\", 4]]]], [\"<=>\", [\"telling-truth\", 2], [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\... | {"split": "train", "index": 16336} |
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: Olivia, Aurora, Jackson, Grace, Abigail, Benjamin, Mason, James, and William. Olivia commented, \"((Mason is an egoist and Aurora is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 781, \"statements\": [[\"and\", [\"or\", [\"and\", [\"lying\", 6], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 8], [\"lying\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 2]], ... | {"split": "train", "index": 16337} |
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: Penelope, Owen, Sofia, Victoria, Lucas, Avery, Sebastian, Matthew, and Riley. \"((Riley is a laggard and Lucas is a laggard) or Owen is a pione... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 782, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"lying\", 8], [\"lying\", 4]], [\"telling-truth\", 1]], [\"telling-truth\", 7]], [\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 7]]], [\"or... | {"split": "train", "index": 16338} |
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: Abigail, Matthew, Jack, Grace, Alexander, Aiden, William, Liam, and Sophia. Abigail was heard saying, \"Liam is a knight\". In a statement by Matthew... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 783, \"statements\": [[\"telling-truth\", 7], [\"and\", [\"or\", [\"not\", [\"lying\", 7]], [\"and\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"and\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"lying\", 8]... | {"split": "train", "index": 16339} |
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: David, Sofia, Benjamin, Mia, Jacob, Olivia, William, Alexander, and Emily. David stated, \"Sofia is a laggard\". According to Sofia, \"it is no... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 784, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"not\", [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"telling-truth\", 4], [\"lying\", 8]]], [\"not\", [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 1... | {"split": "train", "index": 16340} |
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: Matthew, Henry, Alexander, Daniel, Scarlett, Sophia, Isabella, Ava, and Aiden. Matthew asserted: \"if (if (Alexander is an angel and Matthew is an ange... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 785, \"statements\": [[\"->\", [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 1]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"telli... | {"split": "train", "index": 16341} |
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: Isabella, Lily, Aiden, Liam, Avery, Lucas, Scarlett, Victoria, and Ethan. As Isabella put it, \"(it is not the case that (Scarlett is a knave and Lil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 786, \"statements\": [[\"and\", [\"not\", [\"and\", [\"lying\", 6], [\"lying\", 1], [\"telling-truth\", 7]]], [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 1]]... | {"split": "train", "index": 16342} |
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: Sofia, Noah, Henry, Elizabeth, Mason, David, Emily, Avery, and Alexander. Sofia noted, \"((Henry is a fool if and only if Noah is a sage) and (Henry is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 787, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 7]]], [\"and\"... | {"split": "train", "index": 16343} |
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, Victoria, Evelyn, Amelia, Luke, Avery, Alexander, Logan, and Abigail. Ava told you that (Victoria is a villain if and only if (Ava is a villain)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 788, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 1], [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"lying\", 7], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 1]]], [\"<=>\", [\"... | {"split": "train", "index": 16344} |
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: James, Jackson, Riley, Aurora, Matthew, Chloe, William, Noah, and Benjamin. James told you that ((if Matthew is a knight then Chloe is a knave) and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 789, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 5]], [\"not\", [\"lying\", 8]]], [\"not\", [\"telling-truth\", 4]]], [\"telling-truth\", 7], [\"not\", [\"and\", [\"and\", [\"lying\", 6], ... | {"split": "train", "index": 16345} |
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, Mia, Grace, William, Penelope, Matthew, Logan, Zoey, and Elizabeth. Mason asserted: \"((if William is a sage then William is a fool) or (Zoey is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 790, \"statements\": [[\"or\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 3]]], [\"or\", [\"telli... | {"split": "train", "index": 16346} |
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: Emma, Riley, Ethan, Zoey, James, Jacob, Joseph, Chloe, and Aurora. Emma told you that ((Aurora is a sinner and Jacob is a sinner and Riley is a saint... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 791, \"statements\": [[\"or\", [\"or\", [\"and\", [\"lying\", 8], [\"lying\", 5], [\"telling-truth\", 1]], [\"or\", [\"lying\", 8], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 8], [\"lying\", 4]]], [\"and\", [\"->\"... | {"split": "train", "index": 16347} |
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: Sebastian, Sophia, Abigail, Amelia, Samuel, Benjamin, Michael, Jack, and Henry. \"Amelia is a pioneer,\" Sebastian claimed. In Sophia's words: ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 792, \"statements\": [[\"not\", [\"lying\", 3]], [\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 6]], [\"not\", [\"lying\", 8]]]], [\"<=>\", [\"and\", ... | {"split": "train", "index": 16348} |
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: Benjamin, Noah, Sebastian, Alexander, Ava, Emma, Sofia, Lucas, and Samuel. Benjamin asserted: \"((if Ava is an altruist then Sofia is an egoist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 793, \"statements\": [[\"or\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 6]], [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 7]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"or\", [... | {"split": "train", "index": 16349} |
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: Mason, Zoey, Oliver, Owen, Luke, Olivia, Michael, Joseph, and Emma. Mason noted, \"(if (if Olivia is an angel then Michael is a devil) then (Olivia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 794, \"statements\": [[\"and\", [\"->\", [\"->\", [\"telling-truth\", 5], [\"lying\", 6]], [\"not\", [\"telling-truth\", 5]]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 5], [\"lying\", 4]], [\"and\", [\"telling-tr... | {"split": "train", "index": 16350} |
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: Chloe, Mason, Sofia, Noah, Victoria, Logan, Jack, Ella, and Ava. Chloe asserted: \"it is not the case that (Logan is an altruist or (Jack is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 795, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 5], [\"<=>\", [\"lying\", 6], [\"lying\", 5]]]], [\"and\", [\"or\", [\"lying\", 5], [\"or\", [\"telling-truth\", 8], [\"lying\", 5]]], [\"not\", [\"->\", [\"lying\",... | {"split": "train", "index": 16351} |
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, Benjamin, Matthew, Victoria, Michael, Emily, Jacob, Daniel, and Amelia. Jackson said that ((Victoria is a knave and Michael is a knave and E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 796, \"statements\": [[\"or\", [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 4], [\"lying\", 5]], [\"not\", [\"telling-truth\", 8]]], [\"not\", [\"lying\", 1]], [\"not\", [\"lying\", 3]]], [\"or\", [\"and\", [\"not\", [\"lyin... | {"split": "train", "index": 16352} |
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: Avery, Sofia, Noah, Emma, Matthew, James, Mason, Riley, and Grace. \"Matthew is a fool,\" Avery mentioned. Sofia stated, \"Matthew is a fool or (if (if Gra... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 797, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 4], [\"->\", [\"->\", [\"lying\", 8], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 5]]], [\"<=>\", [\"lying\", 2], [\"or\"... | {"split": "train", "index": 16353} |
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: Harper, Samuel, Emily, Emma, Joseph, Jacob, Sofia, Oliver, and Chloe. Harper said that ((Samuel is a fool and Oliver is a fool) if and only if (Sofia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 798, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 7]], [\"<=>\", [\"lying\", 6], [\"lying\", 3]]], [\"telling-truth\", 2], [\"lying\", 1]], [\"not\", [\"lying\", 0]], [\"and\", [\"<=>\", [\"and\", ... | {"split": "train", "index": 16354} |
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: Aria, Elizabeth, Lily, Lucas, Noah, Luke, Henry, Grace, and Jackson. \"if ((Elizabeth is an altruist or Aria is an altruist or Henry is an altr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 799, \"statements\": [[\"->\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 6]], [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"telling-truth\", 1], [\"lying\", 7]]], [\"and\", ... | {"split": "train", "index": 16355} |
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, Mason, Samuel, Zoey, Lily, William, Penelope, and Lucas. \"Lucas is a hero,\" Daniel mentioned. In a statement by Emma: \"it is not the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 800, \"statements\": [[\"telling-truth\", 8], [\"not\", [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"telling-truth\", 6]]], [\"<=>\", [\"or\",... | {"split": "train", "index": 16356} |
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: Abigail, Harper, Joseph, Jack, Evelyn, Riley, James, Aurora, and Scarlett. \"if (if (if Abigail is a saint then Scarlett is a saint) then (if Abigail... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 801, \"statements\": [[\"->\", [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"->\", [\"->\", [\"lying\", 7], [\"telling-truth\", 0]], [\"not\", [\"telli... | {"split": "train", "index": 16357} |
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: Jacob, Lily, Mia, Aiden, Michael, Victoria, Lucas, Owen, and Aurora. \"Aurora is a devil and (it is not the case that (if Mia is an angel then Aiden is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 802, \"statements\": [[\"and\", [\"lying\", 8], [\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]]], [\"not\", [\"and\", [\"->\", [\"lying\", 0], [\"telling-truth\", 3]], [\"not\", [\"lying\", 7]], [\"->\", [\... | {"split": "train", "index": 16358} |
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, Scarlett, Henry, Benjamin, Aurora, Jack, Lucas, Logan, and Emma. \"Benjamin is a pioneer,\" Noah declared. Scarlett remarked, \"it is not... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 803, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 8], [\"lying\", 2]]]]... | {"split": "train", "index": 16359} |
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: Owen, Liam, Ethan, Evelyn, Harper, Aurora, Mia, Charlotte, and Riley. Owen stated, \"Charlotte is a saint\". \"((Riley is a sinner and Ethan is a sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 804, \"statements\": [[\"telling-truth\", 7], [\"and\", [\"<=>\", [\"and\", [\"lying\", 8], [\"telling-truth\", 2], [\"telling-truth\", 8]], [\"lying\", 3]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 5]], [\"tell... | {"split": "train", "index": 16360} |
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: Joseph, Penelope, Liam, Ella, Grace, Oliver, William, Lily, and Mason. Joseph told you that Penelope is an altruist. Penelope stated, \"((Lily ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 805, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"and\", [\"not\", [\"lying\", 7]], [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 4], [\"and\", [\"telling-truth\",... | {"split": "train", "index": 16361} |
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: Emma, Jack, Emily, Aria, Owen, Evelyn, Ella, Amelia, and Benjamin. As Emma put it, \"Evelyn is an angel\". As Jack put it, \"it is not the case that ((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 806, \"statements\": [[\"telling-truth\", 5], [\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]], [\"->\", [\"lying\", 6], [\"telling-truth\", 3]]]], [\"telling-truth\", 1], [\"and\", [\"->\", [\"telling-tru... | {"split": "train", "index": 16362} |
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: Aurora, Sofia, Oliver, Lily, Emily, Benjamin, Elizabeth, Avery, and Logan. According to Aurora, \"if Emily is a pioneer then ((if Avery is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 807, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"or\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 4]]]], [\"or\", [\"and\", [\"and\", [\"telling-truth\", 2]... | {"split": "train", "index": 16363} |
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, Logan, Liam, Emily, Jack, Aurora, Avery, Owen, and Ava. Henry asserted: \"(if Owen is a fool then Liam is a fool) or ((if Avery is a fool then Ava i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 808, \"statements\": [[\"or\", [\"->\", [\"lying\", 7], [\"lying\", 2]], [\"or\", [\"->\", [\"lying\", 6], [\"lying\", 8]], [\"->\", [\"lying\", 6], [\"lying\", 5]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [... | {"split": "train", "index": 16364} |
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: Sofia, Alexander, Aiden, Isabella, Sophia, Riley, Michael, Elizabeth, and Ava. Sofia stated, \"if Elizabeth is an altruist then (if (Riley is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 809, \"statements\": [[\"->\", [\"telling-truth\", 7], [\"->\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"lying\", 2]]], [\"not\", [\"<=>\", [\"lying\", 7], [\"not\", [\"telling-truth\", 2]]]], [\"->\", [\"-... | {"split": "train", "index": 16365} |
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: Evelyn, Alexander, Henry, Isabella, Aria, Avery, Penelope, Chloe, and William. Evelyn told you that it is not the case that ((Alexander is a sinner) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 810, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 8]]]], [\"telling-truth\", 7], [\"and\", [\"not\", [\"not\", [\"telling-truth\", 6]]], [\"or\", [\"<=>\... | {"split": "train", "index": 16366} |
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: Avery, Jacob, Amelia, Charlotte, William, Sebastian, Mia, Aria, and Lucas. Avery told you that Charlotte is a pioneer. In Jacob's words: \"Seba... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 811, \"statements\": [[\"telling-truth\", 3], [\"lying\", 5], [\"lying\", 8], [\"->\", [\"<=>\", [\"<=>\", [\"lying\", 7], [\"lying\", 0]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 5], [\"lying\", 7]]], [\"or\", [\... | {"split": "train", "index": 16367} |
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: Michael, Aurora, Elizabeth, Amelia, Penelope, Joseph, Aria, Oliver, and Lily. As Michael put it, \"Amelia is a knight\". Aurora said, \"Michael is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 812, \"statements\": [[\"telling-truth\", 3], [\"lying\", 0], [\"<=>\", [\"lying\", 7], [\"->\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 2], [\"lying\", 6]], [\"and\", [\"lying\", 3], [\"telling-truth\", 5]]]], [... | {"split": "train", "index": 16368} |
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: Sofia, Chloe, Evelyn, Aiden, Ava, Mia, Michael, Olivia, and Noah. \"if ((Noah is a devil and Mia is a devil) or (if Noah is an angel then Mia is an ang... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 813, \"statements\": [[\"->\", [\"or\", [\"and\", [\"lying\", 8], [\"lying\", 5]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 5]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 2], [\"tel... | {"split": "train", "index": 16369} |
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: Sofia, Benjamin, Logan, Henry, Charlotte, Alexander, Noah, Daniel, and William. In Sofia's words: \"((Benjamin is a pioneer or Charlotte is a l... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 814, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 6], [\"lying\", 5], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\... | {"split": "train", "index": 16370} |
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: Lily, Penelope, Sophia, Matthew, Luke, Oliver, Avery, Jacob, and Alexander. Lily was heard saying, \"Jacob is a saint\". Penelope said that ((Matthew... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 815, \"statements\": [[\"telling-truth\", 7], [\"and\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 4]], [\"telling-truth\", 8]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 8], [\"te... | {"split": "train", "index": 16371} |
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: Elizabeth, Logan, Harper, Ella, Isabella, Victoria, Emily, Liam, and Benjamin. Elizabeth expressed that ((Isabella is a villain or Isabella is a hero... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 816, \"statements\": [[\"and\", [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"and\", [\"lying\", 6], [\"an... | {"split": "train", "index": 16372} |
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: Sofia, Sebastian, Sophia, Charlotte, Mia, Avery, Jack, David, and Elizabeth. Sofia said that (if (Avery is a sage or Sophia is a fool or Charlotte is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 817, \"statements\": [[\"and\", [\"->\", [\"or\", [\"telling-truth\", 5], [\"lying\", 2], [\"telling-truth\", 3]], [\"not\", [\"lying\", 3]]], [\"->\", [\"->\", [\"lying\", 5], [\"lying\", 3]], [\"not\", [\"lying\", 2]]]], [\"... | {"split": "train", "index": 16373} |
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: Elizabeth, Abigail, Scarlett, James, Luke, Michael, Noah, Olivia, and Sophia. As Elizabeth put it, \"Luke is an altruist\". \"Noah is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 818, \"statements\": [[\"telling-truth\", 4], [\"telling-truth\", 6], [\"lying\", 5], [\"->\", [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"->\", [\"->\", [\... | {"split": "train", "index": 16374} |
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: Mason, Harper, Emily, Isabella, Lily, Michael, Mia, Daniel, and Sophia. Mason remarked, \"(it is not the case that (Michael is a saint and Lily is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 819, \"statements\": [[\"and\", [\"not\", [\"and\", [\"telling-truth\", 5], [\"lying\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"->\", [\"ly... | {"split": "train", "index": 16375} |
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: Emily, Olivia, Penelope, Ethan, Daniel, Logan, Henry, William, and Amelia. Emily stated, \"(if (Amelia is a knight if and only if Logan is a knave) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 820, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 5]], [\"and\", [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"lying\", 8], [\"lying\", 3]], [\"->\... | {"split": "train", "index": 16376} |
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: Isabella, Samuel, Aria, William, Grace, Noah, Ella, Jacob, and Lily. \"((if Jacob is a sage then Grace is a fool) and (if Lily is a sage then William is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 821, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 7], [\"lying\", 4]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"lying\", 7], [\"t... | {"split": "train", "index": 16377} |
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: Noah, Michael, Abigail, Chloe, Joseph, Emma, Logan, Penelope, and Matthew. \"((Matthew is a sage) or (Abigail is a fool or Logan is a fool)) if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 822, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"lying\", 8]], [\"or\", [\"lying\", 2], [\"lying\", 6]]], [\"or\", [\"not\", [\"lying\", 8]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]]], [\"not\", [\"<=>\",... | {"split": "train", "index": 16378} |
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: Logan, Evelyn, Penelope, Daniel, Aria, Samuel, Mason, Elizabeth, and Charlotte. \"Aria is an egoist,\" Logan mentioned. Evelyn was heard saying... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 823, \"statements\": [[\"lying\", 4], [\"telling-truth\", 2], [\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 1]], [\"telling-truth\", 2]], [\"->\", [\... | {"split": "train", "index": 16379} |
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, Noah, Daniel, Aiden, David, Oliver, Michael, Olivia, and Jacob. According to Luke, \"(if (if Michael is a sage then Aiden is a fool) then (Aiden is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 824, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 6], [\"lying\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\", 8]]], [\"lying\", 3]], [\"lying\", 7], [\"->\", [\"or\", [\"lying\", 6], [\"not\", [\"tell... | {"split": "train", "index": 16380} |
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, Ella, Matthew, Harper, Sofia, Penelope, Benjamin, Mason, and Amelia. Charlotte stated, \"(if (if Mason is a devil then Benjamin is an angel)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 825, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"lying\", 7], [\"telling-truth\", 6]], [\"or\", [\"lying\", 2], [\"telling-truth\", 6]]], [\"lying\", 8]], [\"lying\", 2], [\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 6]... | {"split": "train", "index": 16381} |
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, Oliver, Ella, Charlotte, Liam, Emma, Harper, Zoey, and Ethan. Olivia told you that (if (if Harper is a devil then Liam is a devil) then (Ella i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 826, \"statements\": [[\"and\", [\"->\", [\"->\", [\"lying\", 6], [\"lying\", 4]], [\"and\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"telling-truth\", 0]], [\"not\", [\"->\", [\"and\", [\"telling-truth\", 8], [\"lying\", 4... | {"split": "train", "index": 16382} |
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, Amelia, Mason, Victoria, Lucas, Jacob, Ethan, Sophia, and Noah. As David put it, \"(if (if Ethan is an altruist then Noah is an egoist) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 827, \"statements\": [[\"or\", [\"->\", [\"->\", [\"telling-truth\", 6], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 7]]], [\"and\", [\"lying\", 8], [\"->\", [\"lying\", 5], [\"telling-truth\", 2]], [\"not\"... | {"split": "train", "index": 16383} |
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: Owen, Harper, Emily, Penelope, Benjamin, Aria, David, Lucas, and Aurora. Owen asserted: \"if (it is not the case that (Penelope is a sage)) then (it is not... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 828, \"statements\": [[\"->\", [\"not\", [\"not\", [\"lying\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 8]]]], [\"->\", [\"or\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\",... | {"split": "train", "index": 16384} |
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, Amelia, Chloe, Harper, Luke, Avery, Olivia, Zoey, and Sophia. Victoria remarked, \"(it is not the case that (Olivia is a saint or Amelia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 829, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 1], [\"telling-truth\", 5]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 8]], [\"<=>\", [\"lying\", 8], [\"lying\", 5]... | {"split": "train", "index": 16385} |
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, Emma, Luke, Sebastian, William, Jack, Grace, Amelia, and Aria. According to Daniel, \"((Luke is an altruist) or Grace is an altruist) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 830, \"statements\": [[\"and\", [\"or\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 6]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"telling-truth\", 5]], [\"not\", [\"lying\", 4]]], [\"->\", [\"a... | {"split": "train", "index": 16386} |
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: Jacob, Olivia, Daniel, Abigail, Sophia, Jack, Zoey, Jackson, and Mia. Jacob expressed that if Jackson is a knave then Mia is a knight. Olivia said, \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 831, \"statements\": [[\"->\", [\"lying\", 7], [\"telling-truth\", 8]], [\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"not\", [\"lying\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"lyi... | {"split": "train", "index": 16387} |
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: Jackson, Grace, Avery, Liam, Jack, Ava, Logan, Owen, and Daniel. In Jackson's words: \"((Avery is a villain) if and only if (Owen is a villain)) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 832, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 7]]], [\"lying\", 1]], [\"and\", [\"telling-truth\", 3], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 6], [\"... | {"split": "train", "index": 16388} |
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: Harper, Penelope, Avery, Liam, Evelyn, Aria, Owen, Mia, and Lily. Harper was heard saying, \"Avery is a knave\". Penelope told you that Mia is a knig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 833, \"statements\": [[\"lying\", 2], [\"and\", [\"telling-truth\", 7], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 7]]]], [\"lying\", 3], [\"lying\... | {"split": "train", "index": 16389} |
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: David, Ella, Logan, Elizabeth, Evelyn, Zoey, Aria, Jacob, and Emma. David stated, \"it is not the case that ((Jacob is a sage and Ella is a sage and Logan ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 834, \"statements\": [[\"not\", [\"and\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 1], [\"lying\", 2]], [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 3]]]]... | {"split": "train", "index": 16390} |
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: Aurora, Elizabeth, Ava, Ella, Joseph, Emily, Sofia, Victoria, and Aiden. \"Aurora is an altruist\" - Aurora. Elizabeth expressed that if (if (E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 835, \"statements\": [[\"telling-truth\", 0], [\"->\", [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], [\"not\", [\"lying\", 6]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telling-truth\"... | {"split": "train", "index": 16391} |
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: Jackson, Zoey, James, Sebastian, Isabella, Ethan, Avery, Lucas, and Luke. In Jackson's words: \"(Avery is a pioneer if and only if (Isabella is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 836, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 6]]], [\"->\", [\"->\", [\"lying\", 5], [\"lying\", 3]], [\"or\", [\"lying\", 8], [\"telling-truth\", 0]]]], [\"or... | {"split": "train", "index": 16392} |
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: Isabella, Emily, Riley, Evelyn, William, Zoey, Daniel, Amelia, and Alexander. \"Emily is a knave or ((Emily is a knight or William is a knight) or (I... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 837, \"statements\": [[\"or\", [\"lying\", 1], [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]], [\"lying\", 6],... | {"split": "train", "index": 16393} |
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, Victoria, Aria, Matthew, Riley, Ethan, Ava, Isabella, and Michael. \"(if (Aria is a devil and Michael is a devil and Ava is an angel) then E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 838, \"statements\": [[\"or\", [\"->\", [\"and\", [\"lying\", 2], [\"lying\", 8], [\"telling-truth\", 6]], [\"telling-truth\", 5]], [\"<=>\", [\"and\", [\"telling-truth\", 6], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 2],... | {"split": "train", "index": 16394} |
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, Jack, Avery, Jackson, Oliver, Olivia, Sophia, Abigail, and Alexander. \"it is not the case that ((Alexander is a pioneer) and (Avery is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 839, \"statements\": [[\"not\", [\"and\", [\"not\", [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 8]]]], [\"not\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 7]]]], [\"and\", [\"not\", [\"<... | {"split": "train", "index": 16395} |
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: Aiden, Charlotte, Abigail, Harper, Michael, Grace, Aria, Lucas, and David. Aiden asserted: \"if ((Aiden is a villain) or (if Abigail is a villain the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 840, \"statements\": [[\"->\", [\"or\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 7]]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-tru... | {"split": "train", "index": 16396} |
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: Abigail, Harper, Liam, Lily, Aurora, Michael, Lucas, Matthew, and Logan. \"((Aurora is a pioneer) if and only if (Matthew is a laggard)) and (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 841, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 7]]], [\"->\", [\"->\", [\"lying\", 7], [\"lying\", 8]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 7]]]], [\"<=>\", ... | {"split": "train", "index": 16397} |
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: Amelia, James, Joseph, Jackson, Logan, Grace, Scarlett, Daniel, and Sofia. Amelia asserted: \"Scarlett is a laggard or ((Logan is a laggard) an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 842, \"statements\": [[\"or\", [\"lying\", 6], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"lying\", 6]]]], [\"<=>\", [\"not\", [\"and\", [\"lying\", 4], [\"lying\", 0], [\"telling-truth\", ... | {"split": "train", "index": 16398} |
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: Victoria, Grace, Olivia, Amelia, Aurora, Isabella, Riley, Elizabeth, and Lucas. According to Victoria, \"Lucas is an angel\". Grace commented, \"Elizab... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 843, \"statements\": [[\"telling-truth\", 8], [\"lying\", 7], [\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"not\", [\"lying\", 1]]]], [\"<=... | {"split": "train", "index": 16399} |
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