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: Amelia, Penelope, Avery, Riley, Benjamin, Aurora, Sofia, Jacob, and Jack. Amelia asserted: \"Riley is an angel\". In a statement by Penelope: \"if (Ave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1488, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 6], [\"telling-truth\", 0]], [\"or\", [\"lying\", 5], [\"telling-truth\", 6]]], [\"and\", [\"->\", [\"lying\... | {"split": "train", "index": 12600} |
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, Owen, Jack, Liam, Sebastian, Michael, Logan, James, and Daniel. Avery remarked, \"(Owen is a pioneer or Jack is a laggard or Avery is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1489, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 4]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 8]], [\"or\", [\"lying\", 5], [\"lying\", 3]]], [\"<=>\", ... | {"split": "train", "index": 12601} |
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, Grace, Scarlett, Mia, Charlotte, Emma, Oliver, Henry, and Samuel. \"Samuel is a devil,\" Alexander declared. Grace was heard saying, \"Scarl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1490, \"statements\": [[\"lying\", 8], [\"telling-truth\", 2], [\"not\", [\"lying\", 0]], [\"<=>\", [\"or\", [\"lying\", 6], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"and\", [\"lying\", 1], [\"telling-truth\", 7], [\... | {"split": "train", "index": 12602} |
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, Penelope, Samuel, Ava, Matthew, David, Luke, Joseph, and Jack. Daniel expressed that (Luke is an altruist or Joseph is an egoist or Mat... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1491, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 6], [\"lying\", 7], [\"telling-truth\", 4]], [\"lying\", 3]], [\"->\", [\"or\", [\"lying\", 0], [\"telling-truth\", 5], [\"lying\", 7], [\"telling-truth\", 8]], [\"... | {"split": "train", "index": 12603} |
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: William, Jackson, Abigail, Lily, Sophia, Evelyn, Jack, Alexander, and Harper. William said that if (Jackson is a sinner if and only if Abigail is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1492, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"or\", [\"telling-truth\", 1], [\"lying\", 1], [\"lying\", 3], [\"lying\", 7]]], [\"telling-truth\", 0], [\"not\", [\"and\", [\"telling-truth\", 8], ... | {"split": "train", "index": 12604} |
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: Riley, Charlotte, Avery, Ava, Alexander, Owen, Abigail, Oliver, and Lucas. According to Riley, \"if (if Riley is an altruist then Alexander is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1493, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 7], [\"lying\", 8]]], [\"or\", [\"or\", [\"telling-truth\", 7], [\"lying\", 5], [\"telling-truth\", 3], [\"... | {"split": "train", "index": 12605} |
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, Aurora, Jacob, Ethan, David, Liam, Avery, Abigail, and Benjamin. \"(Aurora is a knight if and only if Liam is a knight) and (Avery is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1494, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 5]], [\"or\", [\"lying\", 6], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"and\", [\"lying\", 1],... | {"split": "train", "index": 12606} |
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: Ava, Amelia, Jacob, Sebastian, Sofia, Aria, David, Aurora, and Emma. In a statement by Ava: \"if (David is a pioneer or David is a laggard or A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1495, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 6], [\"lying\", 6], [\"lying\", 1]], [\"not\", [\"lying\", 2]]], [\"and\", [\"and\", [\"telling-truth\", 5], [\"lying\", 3], [\"lying\", 2]], [\"and\", [\"telling-tr... | {"split": "train", "index": 12607} |
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: Scarlett, Aurora, Ethan, David, Evelyn, Harper, Sebastian, Jackson, and Sophia. Scarlett told you that if (Harper is a devil or Evelyn is a devil or Au... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1496, \"statements\": [[\"->\", [\"or\", [\"lying\", 5], [\"lying\", 4], [\"lying\", 1], [\"lying\", 2]], [\"->\", [\"lying\", 3], [\"lying\", 5]]], [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"->\", [\"->\"... | {"split": "train", "index": 12608} |
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: Jack, Chloe, Emily, Mia, Lucas, Charlotte, Elizabeth, William, and Henry. Jack remarked, \"Chloe is a devil\". Chloe told you that (Mia is a devil and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1497, \"statements\": [[\"lying\", 1], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"or\", [\"lying\", 8], [\"lying\", 2], [\"lying\", 5], [\"telling... | {"split": "train", "index": 12609} |
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, Abigail, Liam, William, Aria, Ava, Victoria, Jackson, and Emma. In a statement by Jacob: \"it is not the case that (Victoria is a sage if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1498, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 5]]], [\"->\", [\"lying\", 2], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 0]], [\"t... | {"split": "train", "index": 12610} |
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: Daniel, James, Ella, Joseph, Charlotte, Evelyn, Alexander, Liam, and Jacob. Daniel noted, \"(Joseph is a knave if and only if Charlotte is a knave) i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1499, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"lying\", 2], [\"lying\", 1]]], [\"<=>\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 5]]], [\"and\", [\"and\", [\"lying\... | {"split": "train", "index": 12611} |
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, Chloe, Isabella, Owen, Zoey, Elizabeth, Scarlett, Grace, and Lily. Noah was heard saying, \"(Scarlett is an egoist or Lily is an egoist) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1500, \"statements\": [[\"or\", [\"or\", [\"lying\", 6], [\"lying\", 8]], [\"not\", [\"telling-truth\", 3]], [\"lying\", 5], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"->\", [\"not\", [\"lying\", 4]], [\"not\", [\"l... | {"split": "train", "index": 12612} |
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: Mason, Grace, Jackson, Owen, Noah, Henry, Amelia, Zoey, and Isabella. Mason told you that Grace is an altruist. Grace asserted: \"(Amelia is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1501, \"statements\": [[\"telling-truth\", 1], [\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 4], [\"lying\", 8]]], [\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 5]]... | {"split": "train", "index": 12613} |
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, Olivia, Sebastian, Michael, Benjamin, Ava, Ethan, Chloe, and Daniel. Aurora was heard saying, \"(Aurora is a knave) or (if Aurora is a knight... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1502, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"telling-truth\", 8], [\"not\", [\"lying\", 8]]], [\"or\", [\"and\", [\"lying\", 8], [\"telling-truth\", 5]... | {"split": "train", "index": 12614} |
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, Henry, Lily, Ella, Samuel, Ava, Scarlett, James, and Grace. \"Henry is a devil\" - Emma. Henry noted, \"(Grace is an angel and James is an angel ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1503, \"statements\": [[\"lying\", 1], [\"<=>\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 7], [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 7]]], [\"->\", [\"or\", ... | {"split": "train", "index": 12615} |
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, Zoey, Emma, Charlotte, Oliver, Emily, Sebastian, and Benjamin. \"(Benjamin is a saint or Sebastian is a sinner) and Oliver is a sinn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1504, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 8], [\"lying\", 7]], [\"lying\", 5], [\"or\", [\"lying\", 5], [\"lying\", 4], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 6]]], [\... | {"split": "train", "index": 12616} |
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, Avery, Aiden, Scarlett, Samuel, Victoria, Aria, Daniel, and Mia. In a statement by Aurora: \"(Daniel is an egoist or Mia is an egoist) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1505, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 7], [\"lying\", 8]], [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 6]]], [\"or\", [\"not\", [\"lying\", 6]], [\... | {"split": "train", "index": 12617} |
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, Charlotte, Olivia, Riley, Alexander, Elizabeth, Avery, Ava, and Zoey. Abigail asserted: \"(Elizabeth is a knight and Alexander is a knight) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1506, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 5], [\"lying\", 3]]], [\"and\", [\"telling-truth\", 2], [\"lying\", 5], [\"<=>\", [\"lying\", 5], [\"lyin... | {"split": "train", "index": 12618} |
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: Ella, Penelope, Sofia, Alexander, Harper, Michael, Riley, James, and Emily. Ella expressed that (Penelope is a pioneer if and only if Harper is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1507, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 1]], [\"lying\", 7], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 4]]], [\"<=>\"... | {"split": "train", "index": 12619} |
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: Daniel, Samuel, Mia, Sebastian, Michael, Avery, Elizabeth, Matthew, and Jacob. Daniel remarked, \"if (Sebastian is a fool or Mia is a sage) then (Daniel is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1508, \"statements\": [[\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"or\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 1]... | {"split": "train", "index": 12620} |
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, Michael, Aria, James, Daniel, Mason, Samuel, Harper, and Logan. \"Harper is an altruist,\" Joseph mentioned. \"if Logan is an egoist th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1509, \"statements\": [[\"telling-truth\", 7], [\"->\", [\"lying\", 8], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"lying\", 5], [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"not\", [\"lying\", 5]]]... | {"split": "train", "index": 12621} |
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, Elizabeth, William, Daniel, Ethan, Sebastian, Emma, Sophia, and Lily. In a statement by Henry: \"(if William is a sage then Sophia is a fool) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1510, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 7]], [\"telling-truth\", 3]], [\"telling-truth\", 0], [\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"lying\"... | {"split": "train", "index": 12622} |
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: Emily, Victoria, Scarlett, David, Matthew, Isabella, Penelope, Daniel, and Charlotte. Emily asserted: \"it is not the case that (if Matthew is a sain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1511, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"telling-truth\", 2], [\"telling-truth\", 8], [\"or\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 2], [\"telling-truth\", 5], [\"... | {"split": "train", "index": 12623} |
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, Lucas, Sofia, Sebastian, Liam, Zoey, Ava, Evelyn, and Olivia. \"(Ava is a villain if and only if Liam is a villain) or (Lucas is a villain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1512, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 6], [\"lying\", 4]], [\"and\", [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 7]], [\"lying\", 1], [\"not\", [\"telling-truth\", 7]]], [\"<=>\"... | {"split": "train", "index": 12624} |
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, Amelia, Penelope, Chloe, Scarlett, Noah, Jacob, Aria, and Lucas. \"Jacob is a knight or (Jacob is a knight or Jacob is a knave) or (Scarlett ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1513, \"statements\": [[\"or\", [\"telling-truth\", 6], [\"or\", [\"telling-truth\", 6], [\"lying\", 6]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"telling-truth\", 5], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth... | {"split": "train", "index": 12625} |
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: Olivia, Ava, Benjamin, Ethan, Logan, Amelia, Aiden, Zoey, and Scarlett. In a statement by Olivia: \"if Ethan is a laggard then (Zoey is a lagga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1514, \"statements\": [[\"->\", [\"lying\", 3], [\"not\", [\"telling-truth\", 7]]], [\"lying\", 0], [\"or\", [\"or\", [\"lying\", 7], [\"lying\", 6], [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 3]... | {"split": "train", "index": 12626} |
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: Mia, Aiden, Olivia, Mason, David, Abigail, Jacob, Owen, and William. \"(Abigail is an egoist) and (Mason is an egoist and Abigail is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1515, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 5]], [\"and\", [\"lying\", 3], [\"telling-truth\", 5], [\"lying\", 5], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"lying\", 8], [\"lying\", 4]], [\"not\", [\"t... | {"split": "train", "index": 12627} |
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: Alexander, Elizabeth, Aurora, Jackson, Isabella, William, Emily, Sebastian, and Emma. Alexander was heard saying, \"if (Isabella is a sage and Jackson is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1516, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 1], [\"lying\", 8]], [\"not\", [\"telling-truth\", 7]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 6]],... | {"split": "train", "index": 12628} |
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, Noah, Riley, Liam, Mia, Isabella, David, Scarlett, and Sophia. According to Victoria, \"(Mia is a sage) if and only if (Noah is a fool if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1517, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 1], [\"lying\", 4]]], [\"->\", [\"not\", [\"lying\", 7]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 7]]], [\"not\", [\"telling-truth\... | {"split": "train", "index": 12629} |
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: Avery, Benjamin, William, Harper, Lily, Mason, Charlotte, Jackson, and Oliver. \"Benjamin is a sinner\" - Avery. Benjamin noted, \"(if Jackson is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1518, \"statements\": [[\"lying\", 1], [\"<=>\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 0], [\"lying\", 8], [\"lying\", 6]]], [\"and\", [\"<=>\", [\"lying\", 8], [\"telling-truth... | {"split": "train", "index": 12630} |
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, Amelia, Avery, Daniel, Luke, Penelope, Jacob, Sofia, and Riley. In Ava's words: \"Amelia is a villain and (Penelope is a hero and Amelia is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1519, \"statements\": [[\"and\", [\"lying\", 1], [\"and\", [\"telling-truth\", 5], [\"lying\", 1], [\"lying\", 6]]], [\"<=>\", [\"and\", [\"lying\", 8], [\"telling-truth\", 2], [\"telling-truth\", 0], [\"telling-truth\", 7]], ... | {"split": "train", "index": 12631} |
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: William, Ava, Jack, Evelyn, Emily, Michael, Victoria, Penelope, and Zoey. William expressed that (Evelyn is a knight if and only if Emily is a knave)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1520, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 0]], [\"telling-truth\", 6], [\"not\", [\"... | {"split": "train", "index": 12632} |
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: Elizabeth, Owen, Sophia, Mia, Noah, Abigail, Samuel, Olivia, and Chloe. Elizabeth asserted: \"(Elizabeth is a devil) or (if Elizabeth is an angel then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1521, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"or\", [\"lying\", 4], [\"lying\", 8], [\"telling-truth\", 3], [\"lying\", 3]], [\"not\", [\"telling-truth\... | {"split": "train", "index": 12633} |
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, Owen, Benjamin, Charlotte, William, Luke, Evelyn, Avery, and Jack. In Noah's words: \"(if Charlotte is a laggard then Jack is a pioneer) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1522, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 8]], [\"and\", [\"lying\", 3], [\"telling-truth\", 6], [\"telling-truth\", 1], [\"lying\", 8]], [\"not\", [\"telling-truth\", 5]], [\"telling-truth\... | {"split": "train", "index": 12634} |
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, Ella, Evelyn, Riley, Sebastian, Avery, Noah, Jacob, and Isabella. Mason said, \"Riley is a sage.\" Ella said that (if Isabella is a sage then Jacob ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1523, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"->\", [\"telling-truth\", 8], [\"lying\", 7]], [\"and\", [\"telling-truth\", 3], [\"lying\", 5], [\"lying\", 8]], [\"and\", [\"lying\", 5], [\"lying\", 8]]], [\"or\", ... | {"split": "train", "index": 12635} |
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, Harper, Owen, Lily, Emma, Henry, Aurora, Amelia, and Riley. Mason said, \"Harper is a devil.\" Harper noted, \"(Harper is an angel or Lily is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1524, \"statements\": [[\"lying\", 1], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 3]], ... | {"split": "train", "index": 12636} |
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, Sophia, Sofia, Olivia, Joseph, Mia, Zoey, Elizabeth, and Lucas. In Michael's words: \"(if Michael is a knight then Sophia is a knight) and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1525, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"not\", [\"lying\", 7]], [\"or\", [\"lying\", 5], [\"lying\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 5... | {"split": "train", "index": 12637} |
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: Ella, Alexander, Scarlett, Isabella, Emily, Sofia, Grace, Jacob, and Samuel. \"(Samuel is a devil) or (Sofia is a devil and Jacob is a devil and Samuel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1526, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 8]], [\"and\", [\"lying\", 5], [\"lying\", 7], [\"lying\", 8], [\"lying\", 1]]], [\"lying\", 6], [\"lying\", 5], [\"or\", [\"telling-truth\", 2], [\"not\", [\"telli... | {"split": "train", "index": 12638} |
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: Alexander, Owen, Michael, Matthew, Oliver, Jackson, Liam, Scarlett, and Mason. Alexander commented, \"(if Mason is a knight then Mason is a knave) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1527, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 8], [\"lying\", 8]], [\"->\", [\"lying\", 7], [\"telling-truth\", 6]]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 7]]], [\"or\", [\"lying\", 7... | {"split": "train", "index": 12639} |
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: Logan, Evelyn, Olivia, Daniel, Noah, James, Ava, Samuel, and Sebastian. Logan noted, \"(Olivia is a sinner) and (Logan is a saint if and only if Ava ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1528, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 6]], [\"and\", [\"telling-truth\", 1], [\"lying\", 8], [\"telling-truth\", 4], [\"lying\", 4]]], [\"<=>\", [\"<=... | {"split": "train", "index": 12640} |
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: Penelope, James, Joseph, Jackson, Mia, Scarlett, Amelia, Elizabeth, and Henry. Penelope was heard saying, \"it is not the case that (if Jackson is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1529, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"->\", [\"or\", [\"lying\", 0], [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 5]]], [\"not\... | {"split": "train", "index": 12641} |
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: James, Charlotte, Isabella, David, Lucas, William, Logan, Matthew, and Joseph. In James's words: \"if (if Charlotte is a sinner then Isabella is a si... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1530, \"statements\": [[\"->\", [\"->\", [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"telling-truth\", 5], [\"not\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 5], ... | {"split": "train", "index": 12642} |
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: Jacob, Daniel, Matthew, Penelope, Scarlett, Logan, David, Mia, and Harper. Jacob told you that Matthew is a saint if and only if (Penelope is a saint... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1531, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 8]]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth\", 7], [\"telling-trut... | {"split": "train", "index": 12643} |
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, Aria, Ava, James, Isabella, Harper, Penelope, Sofia, and Benjamin. Abigail expressed that (if Aria is a fool then Sofia is a fool) and (James is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1532, \"statements\": [[\"and\", [\"->\", [\"lying\", 1], [\"lying\", 7]], [\"or\", [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 8], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 6]]], [... | {"split": "train", "index": 12644} |
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, Oliver, Elizabeth, Noah, Henry, Michael, Lucas, Emily, and Lily. \"if (if Lily is a devil then Emily is a devil) then (Elizabeth is an angel or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1533, \"statements\": [[\"->\", [\"->\", [\"lying\", 8], [\"lying\", 7]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 5]]], [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 7], [\"<=>\", [\"lying\", 3], [\"lyin... | {"split": "train", "index": 12645} |
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: Riley, Joseph, Logan, William, David, Daniel, Liam, Matthew, and Evelyn. In a statement by Riley: \"(Liam is an altruist if and only if William... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1534, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 8]], [\"not\", [\"telling-tr... | {"split": "train", "index": 12646} |
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: Lucas, Noah, Jackson, Benjamin, Matthew, Evelyn, Lily, Scarlett, and Grace. Lucas commented, \"(if Benjamin is an altruist then Grace is an ego... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1535, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 8]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 8], [\"telling-truth\", 5]]], [\"lying\", 4], [\"not\", [\"<=>\", [\"telli... | {"split": "train", "index": 12647} |
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, Henry, Ava, Jack, Aurora, Chloe, Harper, Michael, and Elizabeth. Mason said that (if Michael is a fool then Henry is a sage) if and only if (Henry i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1536, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 7], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 6], [\"lying\", 3], [\"telling-truth\", 7]]], [\"<=>\", [\"or\", [\"lying\", 7], [\"telli... | {"split": "train", "index": 12648} |
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: Avery, Amelia, Michael, Benjamin, Emma, Victoria, Henry, Charlotte, and Olivia. Avery was heard saying, \"Benjamin is a saint\". Amelia remarked, \"(... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1537, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 4]], [\"or\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"lying... | {"split": "train", "index": 12649} |
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: Noah, Logan, Sebastian, Matthew, Owen, Ella, Victoria, Mason, and Emily. Noah stated, \"it is not the case that (Mason is a knight if and only if Seb... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1538, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 5], [\"lying\", 8]], [\"not\", [\"lying\", ... | {"split": "train", "index": 12650} |
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, David, Sophia, William, Owen, Aria, Riley, Aiden, and Emma. \"William is an angel,\" Mia mentioned. \"if (David is an angel and Mia is a devil and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1539, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 0], [\"lying\", 7], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 1], [\"lying\", 5]]], [\"and\", [\"and\", [\"lying... | {"split": "train", "index": 12651} |
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, Mason, Chloe, William, Riley, Daniel, Jackson, David, and Scarlett. Charlotte commented, \"if Mason is a villain then (William is a hero)\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1540, \"statements\": [[\"->\", [\"lying\", 1], [\"not\", [\"lying\", 3]]], [\"and\", [\"not\", [\"lying\", 3]], [\"or\", [\"lying\", 6], [\"telling-truth\", 8], [\"lying\", 7], [\"lying\", 3]]], [\"and\", [\"<=>\", [\"lying\"... | {"split": "train", "index": 12652} |
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: Avery, Logan, Noah, Alexander, Mia, Ethan, Samuel, Luke, and Benjamin. Avery said, \"(Noah is a knave if and only if Benjamin is a knight) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1541, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 8]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"telling-truth\", 5], [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 8]]], [\"or... | {"split": "train", "index": 12653} |
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: Isabella, Avery, Jacob, Logan, Matthew, Olivia, David, Oliver, and Amelia. In Isabella's words: \"(if Isabella is a saint then Olivia is a sinner) an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1542, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 5]], [\"or\", [\"telling-truth\", 5], [\"lying\", 5], [\"telling-truth\", 0]], [\"lying\", 3], [\"not\", [\"lying\", 1]]], [\"telling-truth\", 7], [... | {"split": "train", "index": 12654} |
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, Chloe, Zoey, Sebastian, Michael, Evelyn, Owen, Victoria, and Jack. Grace asserted: \"it is not the case that (Owen is a saint or Victoria is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1543, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 6], [\"lying\", 7], [\"lying\", 4], [\"telling-truth\", 2]]], [\"lying\", 2], [\"and\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 7]], [\"and\", [\"lying... | {"split": "train", "index": 12655} |
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: David, Charlotte, Jacob, Ella, Lucas, Mason, Mia, Isabella, and Victoria. David asserted: \"Ella is an angel\". \"David is an angel\" - Charlotte. In J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1544, \"statements\": [[\"telling-truth\", 3], [\"telling-truth\", 0], [\"->\", [\"not\", [\"lying\", 1]], [\"->\", [\"lying\", 0], [\"telling-truth\", 7]]], [\"telling-truth\", 7], [\"not\", [\"not\", [\"telling-truth\", 5]]]... | {"split": "train", "index": 12656} |
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, Isabella, Benjamin, Penelope, Lily, Avery, Ella, Jack, and Harper. \"it is not the case that (Benjamin is an angel),\" Aria mentioned. According ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1545, \"statements\": [[\"not\", [\"not\", [\"lying\", 2]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 8]], [\"lying\", 6], [\"->\", [\"lying\", 8], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 6], [\"lyi... | {"split": "train", "index": 12657} |
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: Isabella, Victoria, Aurora, Charlotte, Owen, Samuel, Abigail, Elizabeth, and Riley. In a statement by Isabella: \"(Abigail is a hero and Abigail is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1546, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 6], [\"lying\", 6], [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"lying\", 5], [\"telli... | {"split": "train", "index": 12658} |
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: Grace, Benjamin, Jackson, Jack, Amelia, Mia, Aria, Lily, and Matthew. Grace was heard saying, \"(Amelia is a pioneer and Lily is a laggard and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1547, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 7], [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"and\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 8], ... | {"split": "train", "index": 12659} |
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, Isabella, Owen, Luke, Riley, Mia, Olivia, David, and Sebastian. In a statement by Henry: \"if (Sebastian is a villain and Owen is a villain) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1548, \"statements\": [[\"->\", [\"and\", [\"lying\", 8], [\"lying\", 2]], [\"not\", [\"telling-truth\", 5]]], [\"telling-truth\", 0], [\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 6], [\"telling-truth\", 4], [... | {"split": "train", "index": 12660} |
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, Sofia, Ella, Alexander, Ethan, Liam, Mason, Evelyn, and Zoey. According to Jack, \"it is not the case that (if Ethan is a villain then Jack is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1549, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"telling-truth\", 6]]], [\"<=>\", [\"lying\", 3], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 1]]], [\"->\", [\... | {"split": "train", "index": 12661} |
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: Benjamin, Ella, Joseph, Henry, Owen, Lily, Samuel, Scarlett, and Jack. Benjamin remarked, \"(Owen is a pioneer) or Henry is a pioneer\". Ella e... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1550, \"statements\": [[\"or\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 3]], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 6], [\"lying\", 7]]], [\"<=>\", [\"and\", [\"telling-truth\", 8], [\... | {"split": "train", "index": 12662} |
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: David, Aiden, Chloe, Mia, William, Noah, Aria, Jack, and Jacob. David expressed that if (if Aria is a knave then Noah is a knight) then (Aria is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1551, \"statements\": [[\"->\", [\"->\", [\"lying\", 6], [\"telling-truth\", 5]], [\"and\", [\"lying\", 6], [\"lying\", 3], [\"telling-truth\", 5], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"lying\", 5], [\"lying\", 8], ... | {"split": "train", "index": 12663} |
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: Liam, Mason, Oliver, Evelyn, Harper, William, Sebastian, Emma, and Jackson. Liam stated, \"it is not the case that (Evelyn is a hero and Harper is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1552, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 0]]], [\"and\", [\"not\", [\"lying\", 5]], [\"and\", [\"lying\", 0], [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"or... | {"split": "train", "index": 12664} |
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, Scarlett, Liam, Jacob, James, Owen, Victoria, Ethan, and Sofia. Mason remarked, \"Liam is an angel\". \"Ethan is an angel,\" Scarlett declared. ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1553, \"statements\": [[\"not\", [\"lying\", 2]], [\"not\", [\"lying\", 7]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 6], [\"lying\", 8], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 3], [\"lying... | {"split": "train", "index": 12665} |
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: Riley, Sebastian, Penelope, Lily, Avery, Joseph, Jack, Jacob, and Evelyn. As Riley put it, \"if (Penelope is a saint if and only if Avery is a sinner... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1554, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"->\", [\"lying\", 8], [\"lying\", 2]]], [\"and\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 8]], [\"or\", [\"telling-truth\", 1], [\"lyi... | {"split": "train", "index": 12666} |
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: Lily, Harper, Elizabeth, Mason, Sophia, Oliver, Amelia, Ava, and Penelope. \"(Penelope is a sage or Amelia is a sage or Mason is a sage or Elizabeth is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1555, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 6], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"lying\", 7]], [\"not\", [\"lying\", 3]]], [\"not\", [\"and\", [\"lying\", 2... | {"split": "train", "index": 12667} |
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: Luke, Sofia, William, Aurora, Daniel, Matthew, Noah, Aiden, and Grace. Luke commented, \"William is a laggard\". Sofia asserted: \"Daniel is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1556, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]], [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\... | {"split": "train", "index": 12668} |
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, Joseph, Ella, Elizabeth, Sofia, Luke, Chloe, Grace, and Abigail. Victoria asserted: \"(Joseph is a sage) if and only if Abigail is a sage\". Jose... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1557, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 1]], [\"telling-truth\", 8]], [\"->\", [\"and\", [\"lying\", 8], [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"not\", [\"lying\", 3]]], [\"or\", [\"and\", [\"telling... | {"split": "train", "index": 12669} |
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: Avery, William, Sebastian, James, Noah, Matthew, Logan, Owen, and Zoey. \"(James is a knave and Zoey is a knave and Owen is a knight) if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1558, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 8], [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 4]]], [\"not\", [\"lying\", 4]], [\"not\", [\"not\", [\"telling-truth\",... | {"split": "train", "index": 12670} |
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, Benjamin, Jacob, Riley, David, Luke, Sophia, Jack, and Henry. Aiden was heard saying, \"Riley is an angel\". Benjamin asserted: \"(David is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1559, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 6], [\"lying\", 8]], [\"or\", [\... | {"split": "train", "index": 12671} |
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: Luke, Liam, William, Emma, Alexander, David, Aria, Ethan, and Logan. In Luke's words: \"(Emma is an altruist if and only if Aria is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1560, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"and\", [\"lying\", 2], [\"lying\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 5], [\"tell... | {"split": "train", "index": 12672} |
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: Mia, Luke, Oliver, Noah, Emma, Avery, Aiden, Charlotte, and Lily. Mia noted, \"(Noah is a villain or Oliver is a hero) and (if Aiden is a hero then A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1561, \"statements\": [[\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 6], [\"lying\", 5]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"lying\", 8]], [\"<=>\", [\"and\", [\"tel... | {"split": "train", "index": 12673} |
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, Sebastian, Zoey, Henry, Chloe, Benjamin, Jackson, Sophia, and David. In Matthew's words: \"it is not the case that (Henry is a devil or Sophia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1562, \"statements\": [[\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 7], [\"telling-truth\", 4], [\"telling-truth\", 5]]], [\"<=>\", [\"not\", [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 6]]], [\"<=... | {"split": "train", "index": 12674} |
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, Michael, Sofia, Ella, Sebastian, Matthew, Logan, Riley, and Emily. Chloe commented, \"it is not the case that (if Matthew is a pioneer t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1563, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 5], [\"lying\", 6]]], [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 8], [\"lying... | {"split": "train", "index": 12675} |
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, Riley, Owen, Sebastian, Emily, Lucas, Ella, Mia, and Scarlett. David noted, \"(if Sebastian is a fool then Riley is a fool) and (Owen is a sage and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1564, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 6]]], [\"->\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 0]], [\"->\", [\"lying\", 3]... | {"split": "train", "index": 12676} |
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: Alexander, Zoey, Henry, Ethan, Benjamin, Owen, Riley, Scarlett, and Olivia. As Alexander put it, \"Owen is a knight and Benjamin is a knave\". Zoey s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1565, \"statements\": [[\"and\", [\"telling-truth\", 5], [\"lying\", 4]], [\"->\", [\"->\", [\"lying\", 5], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 0]], [\"-... | {"split": "train", "index": 12677} |
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, Oliver, Benjamin, Elizabeth, Michael, Riley, Charlotte, Sebastian, and Evelyn. Luke said, \"if (Elizabeth is a fool if and only if Evelyn is a fool) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1566, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 8]], [\"or\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 6]]], [\"telling-truth\", 1], [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 8], [\"tellin... | {"split": "train", "index": 12678} |
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, Logan, Harper, Luke, Henry, Amelia, Aurora, Jacob, and Ethan. Mia asserted: \"it is not the case that (Amelia is a devil)\". \"(Henry is a devil a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1567, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 5]]], [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 8], [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"telling-truth\", 5], [\"not\", [\"lying\", 8]]], [\"an... | {"split": "train", "index": 12679} |
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: Michael, Avery, Mason, Abigail, Ava, Sophia, Alexander, Emily, and James. Michael asserted: \"(Avery is an angel and Alexander is an angel and Avery is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1568, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 6], [\"lying\", 1], [\"telling-truth\", 4]], [\"and\", [\"lying\", 5], [\"telling-truth\", 6]]], [\"and\", [\"not\", [\"telling-truth\", 2]... | {"split": "train", "index": 12680} |
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: Elizabeth, Evelyn, Aiden, Mia, Avery, Oliver, Chloe, Ella, and Victoria. According to Elizabeth, \"(if Victoria is a devil then Aiden is a devil) and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1569, \"statements\": [[\"and\", [\"->\", [\"lying\", 8], [\"lying\", 2]], [\"or\", [\"lying\", 2], [\"lying\", 8], [\"lying\", 5], [\"telling-truth\", 7]], [\"telling-truth\", 6], [\"lying\", 5]], [\"->\", [\"or\", [\"telling... | {"split": "train", "index": 12681} |
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, Ella, Noah, Jack, Aria, Amelia, Sophia, Harper, and Evelyn. Sofia asserted: \"if (Aria is a devil) then (Evelyn is a devil and Amelia is an ange... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1570, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 8], [\"telling-truth\", 5], [\"telling-truth\", 0], [\"lying\", 1]]], [\"and\", [\"not\", [\"lying\", 8]], [\"not\", [\"lying\", 0]]], [\... | {"split": "train", "index": 12682} |
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, Samuel, Mia, Lucas, Victoria, Jack, Harper, Jackson, and Riley. Grace expressed that if (Samuel is a sage and Jack is a sage and Mia is a sage) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1571, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 5], [\"telling-truth\", 2]], [\"->\", [\"lying\", 1], [\"lying\", 5]]], [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 3], [\"lying\"... | {"split": "train", "index": 12683} |
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, James, Matthew, Logan, Liam, Emma, Noah, Sophia, and Alexander. Grace asserted: \"it is not the case that (Liam is a sage if and only if Alexander i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1572, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 8]]], [\"lying\", 2], [\"not\", [\"or\", [\"lying\", 6], [\"lying\", 8]]], [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 7... | {"split": "train", "index": 12684} |
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, Sofia, Jackson, Avery, Logan, Mason, Joseph, Luke, and Ava. Noah asserted: \"if (Joseph is an egoist if and only if Luke is an egoist) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1573, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 6], [\"lying\", 7]], [\"and\", [\"telling-truth\", 8], [\"lying\", 7], [\"lying\", 1], [\"telling-truth\", 2]]], [\"and\", [\"or\", [\"lying\", 8], [\"telling-truth\", 7], ... | {"split": "train", "index": 12685} |
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, William, Mason, David, Owen, Michael, Isabella, Jackson, and Amelia. Alexander expressed that (Owen is an altruist or William is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1574, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1]], [\"lying\", 6], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"lying\", 6], [\"telling-truth\", 0], [\"telling-truth\... | {"split": "train", "index": 12686} |
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, Harper, Jackson, Alexander, Penelope, Daniel, William, Matthew, and Benjamin. \"Penelope is an altruist,\" Aiden mentioned. \"if Alexand... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1575, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"lying\", 3], [\"->\", [\"lying\", 4], [\"lying\", 8]]], [\"->\", [\"or\", [\"telling-truth\", 7], [\"lying\", 3], [\"lying\", 4], [\"lying\", 7]], [\"or\", [\"telling-... | {"split": "train", "index": 12687} |
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, William, Ethan, Chloe, Evelyn, Logan, Noah, Benjamin, and Lucas. \"if (Ethan is a pioneer if and only if Noah is a laggard) then Logan i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1576, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 6]], [\"telling-truth\", 5]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2]], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"lying\... | {"split": "train", "index": 12688} |
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: Emily, Isabella, Elizabeth, Emma, Amelia, Ethan, Sophia, Noah, and Ella. In a statement by Emily: \"Ella is a fool\". Isabella said, \"(if Elizabeth is a f... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1577, \"statements\": [[\"lying\", 8], [\"<=>\", [\"->\", [\"lying\", 2], [\"lying\", 6]], [\"and\", [\"lying\", 6], [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"lying\", 6], [\"not\", [\"not\", [\"lying\", 2]]], [\"<=... | {"split": "train", "index": 12689} |
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: Riley, Elizabeth, Grace, Aiden, Penelope, Noah, Scarlett, Daniel, and Oliver. Riley was heard saying, \"(Riley is an altruist if and only if Pe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1578, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 0], [\"lying\", 7], [\"telling-truth\", 5], [\"lying\", 5]], [\"and\", [\"telling-truth\", 0], [\"tellin... | {"split": "train", "index": 12690} |
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: Evelyn, Sebastian, Lucas, Aiden, Avery, Logan, Charlotte, Mia, and Matthew. Evelyn stated, \"Matthew is a laggard\". Sebastian asserted: \"it i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1579, \"statements\": [[\"lying\", 8], [\"not\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 8]]], [\"<=>\", [\"->\", [\"lying\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 3]]], [\"ly... | {"split": "train", "index": 12691} |
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, Noah, Lily, Riley, Lucas, William, Benjamin, Charlotte, and Jack. In a statement by Daniel: \"if (Charlotte is an egoist or Jack is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1580, \"statements\": [[\"->\", [\"or\", [\"lying\", 7], [\"lying\", 8], [\"lying\", 6]], [\"or\", [\"telling-truth\", 6], [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"lying\", 2], [\... | {"split": "train", "index": 12692} |
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, James, Liam, Sophia, Samuel, Aurora, Ethan, Grace, and Jacob. Oliver told you that (Ethan is a devil if and only if Grace is a devil) or (Sophi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1581, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 6], [\"lying\", 7]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 2], [\"lying\", 6]], [\"not\", [\"lying\... | {"split": "train", "index": 12693} |
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, Amelia, Logan, Ella, Liam, Mia, Grace, Olivia, and Ava. According to William, \"(Ella is a hero and Logan is a hero and William is a hero an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1582, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 6]], [\"and\", [\"telling-truth\", 1], [\"lying\", 5]], [\"<=>\", [\"lying\", 4], [\"telling-truth\... | {"split": "train", "index": 12694} |
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: Victoria, Matthew, Owen, Joseph, David, Benjamin, Chloe, James, and Luke. Victoria stated, \"(David is a laggard) if and only if (if Benjamin i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1583, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 1]]], [\"telling-truth\", 8], [\"or\", [\"or\", [\"lying\", 3], [\"lying\", 8]], [\"not\", [\"telling-tru... | {"split": "train", "index": 12695} |
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, Alexander, Oliver, Aria, Ava, Logan, Daniel, Sofia, and Ethan. As Amelia put it, \"(Aria is a knight and Ava is a knave and Sofia is a knave ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1584, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4], [\"lying\", 7], [\"telling-truth\", 2]], [\"lying\", 8], [\"->\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"or\", [\"->\", [\"lying\", 8], [\... | {"split": "train", "index": 12696} |
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, Emily, David, Mason, Noah, Emma, Matthew, Daniel, and Aiden. Grace remarked, \"if (Noah is an angel or Noah is a devil) then (Emily is an angel ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1585, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"telling-truth\", 1], [\"lying\", 8]]], [\"lying\", 8], [\"<=>\", [\"telling-truth\", 3], [\"or\", [\"lying\", 8], [\"telling-truth\... | {"split": "train", "index": 12697} |
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, Chloe, David, Michael, Sebastian, Henry, Sophia, Zoey, and Benjamin. Logan told you that (Sophia is an egoist and Benjamin is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1586, \"statements\": [[\"or\", [\"and\", [\"lying\", 6], [\"telling-truth\", 8], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 1]]], [\"and\", [\"not\", [\"lying\", 8]], [\"and\", [\"telling-truth\", 6], [\"l... | {"split": "train", "index": 12698} |
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, Samuel, Logan, Emma, Henry, Victoria, Riley, Lucas, and Elizabeth. According to Joseph, \"(Riley is an altruist) or (Lucas is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1587, \"statements\": [[\"or\", [\"not\", [\"lying\", 6]], [\"or\", [\"telling-truth\", 7], [\"lying\", 4]], [\"lying\", 6], [\"->\", [\"telling-truth\", 5], [\"lying\", 6]]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"tell... | {"split": "train", "index": 12699} |
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