data_source stringclasses 1
value | prompt stringlengths 657 2.81k | ability stringclasses 1
value | reward_model stringlengths 1.3k 5.51k | extra_info stringlengths 30 34 |
|---|---|---|---|---|
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Amelia, Isabella, Grace, Penelope, and Evelyn. In Amelia's words: \"it is not the case that (Penelope is a pioneer if and only if Evelyn is a p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 310, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"lying\", 2], [\"lying\", 4], [\"lying\", 0]], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"telling-trut... | {"split": "train", "index": 9200} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Ethan, Jacob, Matthew, Grace, and Chloe. \"(Matthew is a devil or Chloe is a devil or Grace is an angel) or (Jacob is a devil and Chloe is a devil) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 311, \"statements\": [[\"or\", [\"or\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"lying\", 3]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"<=>\"... | {"split": "train", "index": 9201} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, Henry, Liam, Luke, and Ella. In a statement by Lucas: \"Luke is a knave if and only if (if Luke is a knave then Liam is a knight)\". In Henry'... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 312, \"statements\": [[\"<=>\", [\"lying\", 3], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 2], [\"telling-truth\... | {"split": "train", "index": 9202} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Emma, Lucas, Matthew, Aurora, and Aiden. \"it is not the case that (Aiden is an egoist)\" - Emma. \"(Aiden is an egoist or Aiden is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 313, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 0]]], [\"or\", [\"not\", [\"l... | {"split": "train", "index": 9203} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Lily, Daniel, Michael, Avery, and Ella. Lily asserted: \"(Daniel is a devil or Michael is a devil) if and only if (Avery is an angel or Lily is an ange... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 314, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 1], [\"lying\", 2]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 1],... | {"split": "train", "index": 9204} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Abigail, Daniel, Jacob, Emily, and Sebastian. In Abigail's words: \"it is not the case that (if Daniel is a hero then Abigail is a hero)\". \"(Emily ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 315, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]], [\"not\", [\"lying\", 0]]], [\"... | {"split": "train", "index": 9205} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Penelope, Luke, Evelyn, Sofia, and Ella. In a statement by Penelope: \"Sofia is a devil\". \"(Evelyn is an angel and Penelope is an angel and Evelyn is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 316, \"statements\": [[\"lying\", 3], [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 2]], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\", 4],... | {"split": "train", "index": 9206} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Mia, Riley, Oliver, Lily, and Daniel. Mia said that (if Oliver is a laggard then Daniel is a laggard) and (Oliver is a laggard if and only if M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 317, \"statements\": [[\"and\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"lying\", 3]], [\"and\", [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"and\", [\"telling-tr... | {"split": "train", "index": 9207} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Aria, Olivia, Benjamin, Mia, and Sebastian. Aria told you that Mia is a fool and Benjamin is a sage. Olivia commented, \"(Benjamin is a sage and Sebastian ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 318, \"statements\": [[\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 0]], [\"not\", [\"telling-truth\", 0]]], [\"lying\", 4], [\"or\", [\"->\", [\"tel... | {"split": "train", "index": 9208} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Joseph, Riley, Alexander, Evelyn, and Aiden. Joseph commented, \"Riley is an angel\". \"Joseph is an angel,\" Riley claimed. Alexander remarked, \"(Jos... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 319, \"statements\": [[\"telling-truth\", 1], [\"telling-truth\", 0], [\"<=>\", [\"and\", [\"lying\", 0], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"or\", [\"lying\", 1], [\"and\", [... | {"split": "train", "index": 9209} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Emily, Jack, Olivia, Aurora, and Amelia. Emily said, \"Emily is a saint or (Emily is a sinner).\" Jack stated, \"Olivia is a saint\". As Olivia put i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 320, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 0]]], [\"telling-truth\", 2], [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"not\", [\"telling-truth\", 0]], [\"<=>\... | {"split": "train", "index": 9210} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Ella, Charlotte, Henry, Isabella, and Evelyn. Ella expressed that if (Henry is a villain or Evelyn is a villain or Isabella is a hero) then (Evelyn i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 321, \"statements\": [[\"->\", [\"or\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"lying\", 3]]], [\"and\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 3]], [... | {"split": "train", "index": 9211} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Joseph, Samuel, Aria, Emily, and Amelia. Joseph was heard saying, \"(Amelia is a knave) if and only if (if Joseph is a knight then Emily is a knave)\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 322, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"telling-tr... | {"split": "train", "index": 9212} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Noah, Charlotte, Oliver, Mia, and Grace. Noah asserted: \"Grace is a laggard\". In Charlotte's words: \"(if Oliver is a laggard then Mia is a p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 323, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 4], [\"not\", [\"lying\", 4]]], [\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0... | {"split": "train", "index": 9213} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Michael, Daniel, Elizabeth, Jacob, and Charlotte. As Michael put it, \"it is not the case that (if Jacob is a knave then Jacob is a knight)\". Daniel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 324, \"statements\": [[\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"not\", [\"lying\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"... | {"split": "train", "index": 9214} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Evelyn, Jack, Alexander, Riley, and Grace. Evelyn said that it is not the case that (Evelyn is a sinner). \"(Evelyn is a sinner) if and only if (Evel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 325, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 4]]], [\"<=>\", [\"and\", [\"lying\", 0], [... | {"split": "train", "index": 9215} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Ava, Benjamin, Penelope, Grace, and Jack. In a statement by Ava: \"(Jack is a saint) and (if Benjamin is a sinner then Jack is a sinner) and (if Pene... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 326, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 1], [\"lying\", 4]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"telling-trut... | {"split": "train", "index": 9216} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Alexander, Aiden, Sebastian, Scarlett, and Sofia. Alexander stated, \"it is not the case that (Sebastian is a sinner or Aiden is a sinner)\". \"Sebas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 327, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"lying\", 1]]], [\"or\", [\"telling-truth\", 2], [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\... | {"split": "train", "index": 9217} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Mia, Sofia, Aiden, Joseph, and Alexander. Mia asserted: \"it is not the case that (if Joseph is an altruist then Mia is an altruist)\". \"Josep... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 328, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"lying\", 3], [\"<=>\", [\"lying\", 3], [\"or\", [\"lying\", 3], [\"lying\", 1], [\"lying\", 4]]], [\"lying\", 2], [\"<=>\", [\"or\",... | {"split": "train", "index": 9218} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Isabella, Zoey, Luke, Logan, and Sophia. Isabella stated, \"Sophia is a hero\". Zoey remarked, \"it is not the case that (Luke is a hero or Sophia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 329, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"lying\", 3]]], [\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 3]], [\"not\", [\"lying\", 0]]], [\"->\", [\"->\... | {"split": "train", "index": 9219} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Evelyn, Isabella, Sebastian, Henry, and Mia. \"(Isabella is a pioneer) if and only if (if Mia is a laggard then Isabella is a laggard)\" - Evel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 330, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 1]], [\"->\", [\"lying\", 4], [\"lying\", 1]]], [\"not\", [\"not\", [\"lying\", 2]]], [\"and\", [\"lying\", 4], [\"or\", [\"telling-truth\", 4], [\"lying\", 0]]], [\"not\",... | {"split": "train", "index": 9220} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Isabella, Logan, Matthew, Penelope, and Ella. In Isabella's words: \"(Ella is a saint) if and only if Logan is a sinner\". \"it is not the case that ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 331, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 4]], [\"lying\", 1]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"lying\", 1], [\... | {"split": "train", "index": 9221} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Mason, Emma, Sophia, Mia, and Liam. Mason was heard saying, \"(Sophia is a pioneer) if and only if (Sophia is a pioneer or Liam is a pioneer or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 332, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 0]], [\"and\", [\"telling-tr... | {"split": "train", "index": 9222} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Emily, Lily, Riley, Owen, and Matthew. Emily noted, \"if (Lily is a hero) then (if Owen is a villain then Matthew is a hero)\". In Lily's words: \"if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 333, \"statements\": [[\"->\", [\"not\", [\"lying\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2], ... | {"split": "train", "index": 9223} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sophia, David, Sofia, Penelope, and Ava. Sophia stated, \"(Sophia is a knight and Penelope is a knave and Sofia is a knave) if and only if (Sofia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 334, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"and\", [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 0], [\"tell... | {"split": "train", "index": 9224} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Oliver, David, Aiden, Grace, and Jackson. Oliver expressed that (David is a laggard) or (Grace is a pioneer). David said, \"(Aiden is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 335, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]]], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2]], [\"lying\", 4]], [\"lying\", 4], [\"not\", [\"lying\", 0]], [\"and\", [... | {"split": "train", "index": 9225} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Logan, Benjamin, Henry, Amelia, and Noah. Logan expressed that it is not the case that (Amelia is an altruist or Noah is an egoist or Henry is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 336, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 4], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]], [\"lying\", 3]], [\"lying\", 4]... | {"split": "train", "index": 9226} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Olivia, Ava, Sebastian, Mia, and Logan. Olivia commented, \"it is not the case that (Logan is a villain if and only if Sebastian is a villain)\". \"i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 337, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\"not\", [\"not\", [\"lying\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"lying\", 3]], [\... | {"split": "train", "index": 9227} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Sophia, Sofia, James, William, and Mason. Sophia was heard saying, \"(if William is a villain then James is a hero) if and only if Sofia is a hero\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 338, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"telling-truth\", 1]], [\"telling-truth\", 4], [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"te... | {"split": "train", "index": 9228} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Logan, Ella, James, Emily, and Joseph. Logan said that if (Logan is a hero or Emily is a hero or Ella is a villain) then (Ella is a hero or James is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 339, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"lying\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling... | {"split": "train", "index": 9229} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Joseph, David, Logan, Jacob, and Owen. In Joseph's words: \"(David is a villain if and only if David is a hero) if and only if (if David is a villain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 340, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"->\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"->\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]]],... | {"split": "train", "index": 9230} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: James, Liam, David, Noah, and Evelyn. James expressed that if (Evelyn is a sinner) then (Evelyn is a saint and David is a sinner and Noah is a sinner... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 341, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 3]]], [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2]... | {"split": "train", "index": 9231} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Victoria, Logan, Ava, Ella, and Abigail. \"Logan is an egoist,\" Victoria claimed. Logan remarked, \"Abigail is an altruist and (Ava is an altr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 342, \"statements\": [[\"lying\", 1], [\"and\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"telling-truth\", 3], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 1], [\"tellin... | {"split": "train", "index": 9232} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Olivia, Joseph, William, Zoey, and Lucas. Olivia stated, \"Joseph is a saint\". Joseph commented, \"it is not the case that (William is a saint and O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 343, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"telling-trut... | {"split": "train", "index": 9233} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Michael, Owen, Isabella, Joseph, and Penelope. Michael asserted: \"if (Joseph is an angel) then (Owen is a devil if and only if Isabella is a devil)\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 344, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 1], [\"lying\", 2]]], [\"lying\", 0], [\"lying\", 1], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"tel... | {"split": "train", "index": 9234} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Liam, Michael, Penelope, Sophia, and Abigail. As Liam put it, \"if (if Liam is an altruist then Sophia is an altruist) then (if Penelope is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 345, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"or\", [\"lying\", 4], [... | {"split": "train", "index": 9235} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Henry, Aria, Jacob, Aurora, and Logan. Henry remarked, \"Jacob is an egoist\". Aria noted, \"(Aurora is an altruist or Henry is an altruist or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 346, \"statements\": [[\"lying\", 2], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]]], [\... | {"split": "train", "index": 9236} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Noah, Amelia, Mason, Luke, and Henry. In a statement by Noah: \"Amelia is a knight\". Amelia told you that it is not the case that (Amelia is a knigh... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 347, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 3]], [\"->\", [\"lying\", 1], [... | {"split": "train", "index": 9237} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Henry, Jacob, Grace, Jack, and Alexander. In a statement by Henry: \"(Alexander is a laggard or Jacob is a pioneer) if and only if (if Grace is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 348, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 0], [\"or\", [\"lying\", 0],... | {"split": "train", "index": 9238} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: James, Michael, Daniel, Alexander, and Sophia. James noted, \"if (Alexander is a hero if and only if Daniel is a hero) then (Alexander is a villain i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 349, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 3], [\"lying\", 3... | {"split": "train", "index": 9239} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aiden, Olivia, Sofia, Ethan, and Grace. Aiden stated, \"it is not the case that (Aiden is an altruist or Sofia is an egoist)\". \"if Sofia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 350, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"->\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"te... | {"split": "train", "index": 9240} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Sofia, Jackson, Grace, Chloe, and Oliver. Sofia noted, \"(if Jackson is a hero then Jackson is a villain) if and only if (Jackson is a hero if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 351, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 0]]], [\"or\", [\"or\", [\"ly... | {"split": "train", "index": 9241} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Aria, Sebastian, Riley, Sophia, and Samuel. Aria said, \"it is not the case that (Sophia is a hero or Sophia is a villain or Samuel is a hero).\" Acc... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 352, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 0]]]... | {"split": "train", "index": 9242} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Jacob, Samuel, Owen, Elizabeth, and Emily. Jacob expressed that Elizabeth is a laggard. Samuel noted, \"(Jacob is a pioneer and Jacob is a lagg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 353, \"statements\": [[\"lying\", 3], [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\"... | {"split": "train", "index": 9243} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Joseph, Daniel, Aiden, Michael, and Aurora. As Joseph put it, \"Daniel is a pioneer\". Daniel said that (Joseph is a pioneer or Aurora is a pio... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 354, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"and\", [\"lying\", 0], [\"lying\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 0], [\"lying\... | {"split": "train", "index": 9244} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Ella, David, Isabella, Avery, and Sebastian. Ella stated, \"(if David is an angel then Sebastian is an angel) or (David is an angel)\". David was heard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 355, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"not\", [\"lying\", 1]]], [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"not\", [\"lying\", 2]]], [\"->\", [\"and\", [\"lying\",... | {"split": "train", "index": 9245} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Mason, Lily, Ella, Liam, and Emily. Mason commented, \"it is not the case that (Liam is a hero if and only if Mason is a hero)\". Lily expressed that... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 356, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"lying\", 4], [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3], [\"lying\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\", 2... | {"split": "train", "index": 9246} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Elizabeth, Matthew, Noah, David, and Isabella. Elizabeth said, \"if (Isabella is a saint if and only if Matthew is a sinner) then (Isabella is a sain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 357, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]], [\"not\", [\"lying\", 4]]], [\"and\", [\"telling-truth\", 3], [\"not\", [\"lying\", 2]]], [\"telling-truth\", 0], [\"not\", [\"and\", [\"lying\"... | {"split": "train", "index": 9247} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Owen, Sebastian, Ethan, Evelyn, and Riley. As Owen put it, \"Ethan is a knight\". \"if (Owen is a knave) then (Ethan is a knave or Riley is a knight ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 358, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\"... | {"split": "train", "index": 9248} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Ethan, Sophia, Michael, Matthew, and Isabella. According to Ethan, \"it is not the case that (Michael is a pioneer)\". Sophia expressed that if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 359, \"statements\": [[\"not\", [\"not\", [\"lying\", 2]]], [\"->\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 2]]], [\"lying\", 3], [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [... | {"split": "train", "index": 9249} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Mia, Olivia, Emily, Sophia, and Grace. According to Mia, \"Olivia is a villain\". In Olivia's words: \"it is not the case that (if Sophia is a hero t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 360, \"statements\": [[\"lying\", 1], [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 0]], [\"lying\", 1]], [\"<=>\", [\"and\", [\"telling-truth\", 4]... | {"split": "train", "index": 9250} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Scarlett, Matthew, Sebastian, Avery, and Mason. Scarlett remarked, \"Avery is a fool or Sebastian is a sage or Matthew is a sage\". Matthew noted, \"(Matth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 361, \"statements\": [[\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"lying\", 1], [\"and\", ... | {"split": "train", "index": 9251} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Daniel, Ethan, Riley, Jacob, and Avery. \"Ethan is an angel\" - Daniel. \"if (Daniel is a devil if and only if Riley is an angel) then (Avery is an ang... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 362, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"lying\", 0]], [\"and\",... | {"split": "train", "index": 9252} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Liam, Ella, Scarlett, Matthew, and Benjamin. Liam told you that if (Benjamin is a saint and Scarlett is a saint) then (Matthew is a sinner if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 363, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 3], [\"lying\", 1]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 4], [\"telling-trut... | {"split": "train", "index": 9253} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Jack, Ella, Henry, Chloe, and Samuel. Jack stated, \"if (Chloe is a sage and Henry is a fool and Ella is a fool) then (Henry is a sage or Samuel is a fool ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 364, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [... | {"split": "train", "index": 9254} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Chloe, Alexander, Mia, Emily, and David. Chloe asserted: \"Alexander is an altruist\". Alexander told you that it is not the case that (David i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 365, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"and\", [\"lying\", 3], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 0]], [\"<=>\",... | {"split": "train", "index": 9255} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Ava, Jackson, Amelia, Zoey, and Isabella. \"(Jackson is a knight if and only if Ava is a knight) if and only if (Isabella is a knight),\" Ava claimed... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 366, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"not\", [\"lying\", 4]]], [\"not\", [\"telling-truth\", 0]], [\"or\", [\"lying\", 3], [\"or\", [\"lying\", 4], [\"lying\", 3], [\"tel... | {"split": "train", "index": 9256} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Liam, Emily, Olivia, Mia, and Jackson. Liam was heard saying, \"Jackson is a saint\". Emily remarked, \"(Mia is a saint if and only if Olivia is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 367, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"lying\", 0], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"->\"... | {"split": "train", "index": 9257} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Scarlett, Chloe, Avery, Harper, and Aiden. Scarlett asserted: \"(Harper is a sinner or Aiden is a saint or Scarlett is a saint) if and only if Harper... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 368, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"telling-truth\", 3]], [\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 0]], [\"not\", [\"lying\", 4]], [\"and\", [\"ly... | {"split": "train", "index": 9258} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Mia, Riley, Mason, Michael, and Liam. Mia expressed that if (Michael is a laggard and Mason is a pioneer and Mason is a laggard) then (Liam is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 369, \"statements\": [[\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth... | {"split": "train", "index": 9259} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: William, Alexander, Chloe, Sofia, and Zoey. In a statement by William: \"(if Chloe is a hero then Zoey is a villain) or (if Zoey is a villain then Al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 370, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"or\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"lying\... | {"split": "train", "index": 9260} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Luke, Joseph, Penelope, Alexander, and Abigail. \"it is not the case that (if Joseph is a sage then Alexander is a sage)\" - Luke. Joseph said that Alexand... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 371, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"telling-truth\", 3], [\"or\", [\"lying\", 3], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"lying\", 0],... | {"split": "train", "index": 9261} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Zoey, Avery, Oliver, William, and Sophia. Zoey remarked, \"(Zoey is a sage or Avery is a sage) and (Sophia is a sage and Avery is a sage and Oliver is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 372, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], [\"lying\", 4]]], [\... | {"split": "train", "index": 9262} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Jacob, Olivia, Aria, Sebastian, and Joseph. Jacob expressed that (Olivia is a hero and Sebastian is a hero and Aria is a villain) and (Jacob is a her... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 373, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 2]], [\"or\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], ... | {"split": "train", "index": 9263} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: James, Aria, Scarlett, Jack, and Liam. James asserted: \"if (Scarlett is an altruist and James is an altruist) then (Scarlett is an egoist)\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 374, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 2]]], [\"lying\", 3], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"->\", [\"telli... | {"split": "train", "index": 9264} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aiden, Luke, Mia, Penelope, and Emily. Aiden stated, \"Emily is an altruist\". \"it is not the case that (Emily is an altruist or Aiden is an e... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 375, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 0], [\"lying\", 2]]], [\"telling-truth\", 4], [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"telling... | {"split": "train", "index": 9265} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sebastian, Owen, Mia, Oliver, and Charlotte. As Sebastian put it, \"(Oliver is a knave and Owen is a knave and Mia is a knight) and (Mia is a knave i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 376, \"statements\": [[\"and\", [\"and\", [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"not\", [\"telling-truth\", 2]], [\"not\", [\"->\", [\"lying\", 4], [\"te... | {"split": "train", "index": 9266} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Samuel, Luke, Charlotte, Ava, and Jackson. Samuel asserted: \"Charlotte is a sinner\". Luke noted, \"Samuel is a sinner\". Charlotte remarked, \"it i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 377, \"statements\": [[\"lying\", 2], [\"lying\", 0], [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 2]]]], \"solution\": [... | {"split": "train", "index": 9267} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Avery, Lily, Aurora, Liam, and Joseph. Avery commented, \"(if Liam is a devil then Aurora is an angel) and (if Aurora is a devil then Lily is a devil)\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 378, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"lying\", 2], [\"lying\", 1]]], [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 2], [\"telling-... | {"split": "train", "index": 9268} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: David, Sophia, Victoria, Penelope, and Liam. David told you that (David is a sage if and only if Victoria is a fool) or (Penelope is a fool) or Victoria is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 379, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 2]], [\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 4]]]... | {"split": "train", "index": 9269} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Liam, Luke, Logan, Matthew, and Emma. Liam commented, \"Matthew is a pioneer or (Emma is a pioneer if and only if Matthew is a laggard)\". \"(L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 380, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"or\", [\"<=>\", [\"lying\", 0], [\"lying\", 3]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"->\", [\"and... | {"split": "train", "index": 9270} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Matthew, Ella, Aria, Lucas, and Alexander. In a statement by Matthew: \"(Ella is a fool or Lucas is a sage) or (if Alexander is a sage then Lucas is a fool... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 381, \"statements\": [[\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 3]]], [\"or\", [\"or\", [\"tellin... | {"split": "train", "index": 9271} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Lucas, Ava, Penelope, Ella, and Scarlett. Lucas noted, \"Ava is a sinner\". Ava stated, \"Penelope is a saint\". Penelope was heard saying, \"it is n... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 382, \"statements\": [[\"lying\", 1], [\"telling-truth\", 2], [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"and\", [\"not\", [\"lying\", 0]], [\"and\", [\"lying\", 1], [\"lying\", 0]]], [\"lying\", 0]], \"sol... | {"split": "train", "index": 9272} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Alexander, Zoey, Avery, Chloe, and Emma. Alexander said that (Emma is a devil and Zoey is an angel) if and only if (if Emma is an angel then Chloe is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 383, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], ... | {"split": "train", "index": 9273} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Luke, Aurora, Evelyn, Oliver, and Michael. In Luke's words: \"Evelyn is a pioneer or Aurora is a laggard or (Aurora is a pioneer and Michael is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 384, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"lying\", 1], [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 1]]], [\"telling-truth\", 3], [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 1]]], [\... | {"split": "train", "index": 9274} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Oliver, Emma, Zoey, Lily, and Jack. \"Jack is a knave if and only if Oliver is a knight,\" Oliver claimed. In Emma's words: \"Oliver is a knave\". Zo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 385, \"statements\": [[\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"lying\", 0], [\"and\", [\"telling-truth\", 3], [\"->\", [\"lying\", 4], [\"lying\", 0]]], [\"<=>\", [\"telling-truth\", 0], [\"and\", [\"lying\", 4], ... | {"split": "train", "index": 9275} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Daniel, Isabella, James, Harper, and Oliver. Daniel expressed that (Harper is a laggard if and only if Harper is a pioneer) and (Daniel is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 386, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"lying\", 2]], [\"or\", [\"not\", [\"lying\", 0]], [\"->\", [\"telling-truth\", 4]... | {"split": "train", "index": 9276} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aurora, Zoey, Harper, Luke, and Grace. In a statement by Aurora: \"(Harper is an altruist or Zoey is an egoist or Harper is an egoist) or (Grac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 387, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1], [\"lying\", 2]], [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 0],... | {"split": "train", "index": 9277} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Grace, Aria, Owen, Zoey, and Henry. Grace remarked, \"Zoey is an egoist\". \"(Zoey is an egoist or Henry is an egoist or Owen is an altruist) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 388, \"statements\": [[\"lying\", 3], [\"or\", [\"or\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 2]], [\"lying\", 4], [\"and\", [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\... | {"split": "train", "index": 9278} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Aurora, Scarlett, Matthew, Aiden, and Emma. Aurora asserted: \"(Aurora is a saint or Scarlett is a saint) and (if Emma is a saint then Aiden is a sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 389, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], ... | {"split": "train", "index": 9279} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Alexander, Ella, Jack, James, and Harper. Alexander said that it is not the case that (Harper is a hero or James is a villain or Harper is a villain)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 390, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 4]]], [\"not\", [\"lying\", 4]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"->\"... | {"split": "train", "index": 9280} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Samuel, James, William, Jacob, and Owen. \"it is not the case that (Jacob is a laggard)\" - Samuel. As James put it, \"(William is a laggard) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 391, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 0]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"lying\", 4]]], [... | {"split": "train", "index": 9281} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Sebastian, Victoria, Sophia, Matthew, and Penelope. As Sebastian put it, \"(Sophia is a saint or Matthew is a sinner or Victoria is a sinner) and (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 392, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3], [\"lying\", 1]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 3]]], [\... | {"split": "train", "index": 9282} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Elizabeth, Zoey, Victoria, Samuel, and Charlotte. Elizabeth remarked, \"Samuel is a villain\". \"Elizabeth is a villain,\" Zoey claimed. \"Charlotte ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 393, \"statements\": [[\"lying\", 3], [\"lying\", 0], [\"<=>\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"lying\", 1], [\"lying\", 0]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\... | {"split": "train", "index": 9283} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Ava, Zoey, Aurora, Liam, and Elizabeth. Ava expressed that if (Zoey is an egoist if and only if Aurora is an egoist) then (Aurora is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 394, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"telling-truth\", 2], [\"or\", [\"->\", [\"lying\", 1], [\"lying\", 4]], [\"not\", [\"tell... | {"split": "train", "index": 9284} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Lucas, Evelyn, Michael, Noah, and Charlotte. In Lucas's words: \"(if Charlotte is a pioneer then Noah is a pioneer) and (Michael is a pioneer a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 395, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 1]], [\"and\", [\"lying\", 4], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"lyi... | {"split": "train", "index": 9285} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Emily, Sofia, Riley, Victoria, and Jacob. In a statement by Emily: \"it is not the case that (Riley is a devil)\". Sofia said, \"if (Riley is an angel ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 396, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"lying\", 4]], [\"->\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2]], [\"or\", [\"te... | {"split": "train", "index": 9286} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Charlotte, Joseph, Aurora, Samuel, and Aiden. Charlotte remarked, \"(Aiden is a hero or Aurora is a hero or Samuel is a villain) if and only if (Samu... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 397, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 3]], [\"not\", [\"lying\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 0], [\"telling-truth\", 4]], [\"<=>\... | {"split": "train", "index": 9287} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Evelyn, Zoey, Mia, Charlotte, and Grace. Evelyn stated, \"(Charlotte is a devil and Evelyn is an angel and Mia is an angel) or (Charlotte is a devil)\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 398, \"statements\": [[\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"lying\", 0]]], [\"ly... | {"split": "train", "index": 9288} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Riley, Jack, Jackson, Sophia, and Sebastian. Riley remarked, \"(Jack is an angel if and only if Sebastian is a devil) if and only if (Jackson is an ang... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 399, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"or\", [\"lying\", 4], [\"and\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"or\", [\"tel... | {"split": "train", "index": 9289} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Abigail, Ava, Charlotte, Owen, and Penelope. Abigail expressed that Charlotte is a fool. \"Penelope is a fool or (Abigail is a fool and Charlotte is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 400, \"statements\": [[\"lying\", 2], [\"or\", [\"lying\", 4], [\"and\", [\"lying\", 0], [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"->\", [\"telling-truth\", 1], [\"or\", [\"lying\", 1], [\"lying\", 4]]], [\"->\", [\... | {"split": "train", "index": 9290} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Zoey, Charlotte, Lily, Penelope, and Ethan. Zoey asserted: \"Lily is a pioneer\". Charlotte was heard saying, \"if (Lily is a pioneer and Zoey ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 401, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 0], [\"telling-truth\", 4]], [\"telling-truth\", 3]], [\"telling-truth\", 1], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"... | {"split": "train", "index": 9291} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Aurora, Elizabeth, David, Sebastian, and Joseph. Aurora told you that (Elizabeth is a laggard and Joseph is a laggard) or (David is a laggard i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 402, \"statements\": [[\"or\", [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 4]], [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"or\", [\"ly... | {"split": "train", "index": 9292} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Daniel, Jackson, Emma, Matthew, and William. Daniel told you that (William is a knight) or (Emma is a knave if and only if Emma is a knight). \"it is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 403, \"statements\": [[\"or\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling... | {"split": "train", "index": 9293} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Chloe, Joseph, Luke, Lily, and Harper. Chloe was heard saying, \"(if Luke is a fool then Luke is a sage) or (if Luke is a sage then Luke is a fool) or (Luk... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 404, \"statements\": [[\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"and\", [\"lying\"... | {"split": "train", "index": 9294} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Jackson, Matthew, Mia, Aiden, and Grace. \"Jackson is a pioneer if and only if (Matthew is a pioneer),\" Jackson claimed. \"it is not the case ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 405, \"statements\": [[\"<=>\", [\"telling-truth\", 0], [\"not\", [\"lying\", 1]]], [\"not\", [\"->\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"lying\", 3]]], [\"<=>\", [\"lying\", 0], [\"or\", [\"lying... | {"split": "train", "index": 9295} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Elizabeth, Aurora, Chloe, Scarlett, and Joseph. Elizabeth told you that (Joseph is a laggard or Aurora is a laggard or Joseph is a pioneer) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 406, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"->\", [\"not\", [\"lying\", 4]], [\"not\", [\"lying\", 0]]], [\"<=>\", [\"a... | {"split": "train", "index": 9296} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Sophia, Ethan, Riley, Grace, and Olivia. \"(Olivia is a saint and Olivia is a sinner) or (Riley is a sinner and Sophia is a saint),\" Sophia declared... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 407, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"ly... | {"split": "train", "index": 9297} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: James, Grace, Emma, Penelope, and Elizabeth. James said, \"(if Grace is an angel then Grace is a devil) and (Penelope is a devil).\" Grace told you tha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 408, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]... | {"split": "train", "index": 9298} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Emma, James, Michael, Evelyn, and Matthew. \"Evelyn is an angel,\" Emma mentioned. In a statement by James: \"if (James is an angel if and only if Matt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 409, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0], [\"tellin... | {"split": "train", "index": 9299} |
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