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 altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Amelia, Elizabeth, Ethan, Jack, Olivia, Riley, Mia, Jacob, and Abigail. \"if (Jacob is an egoist) then (if Olivia is an egoist then Ethan is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 832, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 7]], [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"telling-truth\", 8], [\"lying\", 3], [\"lying\", 7], [\"or\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 3]], [... | {"split": "train", "index": 7500} |
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, Owen, Victoria, Lucas, Lily, Ava, Evelyn, Alexander, and Noah. \"(Lucas is a devil) and (Ava is a devil if and only if Victoria is an angel)\" -... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 833, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"l... | {"split": "train", "index": 7501} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Emily, Avery, Luke, Noah, Liam, Chloe, Charlotte, Oliver, and Logan. Emily was heard saying, \"Logan is a knight if and only if (Oliver is a knave if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 834, \"statements\": [[\"<=>\", [\"telling-truth\", 8], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"lying\", 7]], [\"lying\", 3]], [\"<=>\", [\"or\", [\"telling-truth\", 5], [\"lying\", 3]], [\"te... | {"split": "train", "index": 7502} |
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: Jackson, Amelia, Ava, Henry, Matthew, Grace, Samuel, Benjamin, and Joseph. \"Amelia is a devil or (Amelia is a devil or Matthew is an angel),\" Jackson... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 835, \"statements\": [[\"or\", [\"lying\", 1], [\"or\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"not\", [\"lying\", 4]], [\"and\", [\"or\", [\"lying\", 5], [\"telling-truth\", 6]], [\"->\", [\"lying\", 0], [\"telling-truth... | {"split": "train", "index": 7503} |
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: Victoria, Evelyn, David, Michael, Mia, Zoey, Sophia, Liam, and Emma. Victoria told you that it is not the case that (Sophia is a knight if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 836, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 1]]], [\"<=>\", [\"or... | {"split": "train", "index": 7504} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Amelia, Lucas, Jack, Henry, Abigail, William, Michael, Mia, and Sebastian. Amelia expressed that Sebastian is a pioneer if and only if (Sebasti... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 837, \"statements\": [[\"<=>\", [\"telling-truth\", 8], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 0]]], [\"<=>\", [\"telling-truth\", 6], [\"and\", [\"telling-truth\", 4], [\"lying\", 8]]], [\"<=>\", [\"and\", [\"te... | {"split": "train", "index": 7505} |
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: Michael, Charlotte, Lucas, Riley, Liam, Grace, Joseph, Chloe, and Jackson. In a statement by Michael: \"(Joseph is a saint if and only if Grace is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 838, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"not\", [\"lying\", 2]]], [\"<=>\", [... | {"split": "train", "index": 7506} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Michael, David, Jack, Daniel, Evelyn, Victoria, Scarlett, Lily, and Sofia. Michael asserted: \"(Jack is a fool) or (Sofia is a fool and Sofia is a sage)\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 839, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 8], [\"telling-truth\", 8]]], [\"or\", [\"or\", [\"lying\", 5], [\"telling-truth\", 2]], [\"->\", [\"lying\", 2], [\"telling-truth\", 5]]]... | {"split": "train", "index": 7507} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: David, Alexander, Ava, Aiden, Jackson, Scarlett, Evelyn, Aurora, and Ella. David was heard saying, \"(if Aiden is a pioneer then Aurora is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 840, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 7]], [\"telling-truth\", 0]], [\"->\", [\"lying\", 6], [\"and\", [\"lying\", 3], [\"lying\", 0]]], [\"<=>\", [\"and\", [\"lying\", 1], [\"telling-trut... | {"split": "train", "index": 7508} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Owen, Aria, Isabella, Liam, Abigail, Avery, Lily, Mia, and Ella. Owen remarked, \"(Mia is a sage or Avery is a sage) and (Isabella is a fool and Abigail is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 841, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 5]], [\"and\", [\"lying\", 2], [\"lying\", 4]]], [\"and\", [\"and\", [\"lying\", 6], [\"lying\", 7]], [\"->\", [\"telling-truth\", 1], [\"tel... | {"split": "train", "index": 7509} |
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: Aiden, Noah, Zoey, Lily, Aria, Jackson, Ava, David, and Joseph. Aiden remarked, \"(if Aiden is a sage then Noah is a fool) if and only if (Aiden is a fool)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 842, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 7]], [\"->\", [\"lying\", 4], [\"lying\", 0]]... | {"split": "train", "index": 7510} |
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: Avery, Mia, Abigail, Ella, Aiden, Victoria, Harper, Charlotte, and Luke. In a statement by Avery: \"Victoria is an egoist\". \"Harper is an ego... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 843, \"statements\": [[\"lying\", 5], [\"<=>\", [\"lying\", 6], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 8]], [\"or\", [\"lying\", 1], [\"lying\", 0]]], [\"or\", [\"not... | {"split": "train", "index": 7511} |
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: Samuel, Chloe, Logan, Aurora, Daniel, Penelope, Jack, Amelia, and Elizabeth. In a statement by Samuel: \"(Daniel is a sinner) and (Jack is a saint)\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 844, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 6]]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 8]], [\"or\", [\"lying\", 5], [\"lying\", 6]]], [\"or\", [\"not\", [\"telli... | {"split": "train", "index": 7512} |
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: Jack, Samuel, Sofia, Noah, Victoria, Elizabeth, Benjamin, Daniel, and Aria. Jack stated, \"(Aria is a sage) or (Noah is a fool or Daniel is a fool)\". In S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 845, \"statements\": [[\"or\", [\"not\", [\"lying\", 8]], [\"or\", [\"lying\", 3], [\"lying\", 7]]], [\"not\", [\"<=>\", [\"lying\", 0], [\"lying\", 7]]], [\"or\", [\"not\", [\"telling-truth\", 5]], [\"or\", [\"telling-truth\"... | {"split": "train", "index": 7513} |
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, Riley, Daniel, Michael, Jacob, Noah, Scarlett, Elizabeth, and Evelyn. Grace said that (Evelyn is a sinner and Noah is a sinner) and (Daniel is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 846, \"statements\": [[\"and\", [\"and\", [\"lying\", 8], [\"lying\", 5]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 6]]], [\"<=>\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"lyi... | {"split": "train", "index": 7514} |
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, Sebastian, Owen, Michael, Noah, Penelope, Ella, Samuel, and Evelyn. Jack expressed that if (Samuel is a devil and Evelyn is an angel) then (if El... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 847, \"statements\": [[\"->\", [\"and\", [\"lying\", 7], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 8]]], [\"not\", [\"<=>\", [\"lying\", 6], [\"lying\", 7]]], [\"->\", [\"and\", [\"lying\", ... | {"split": "train", "index": 7515} |
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: Mia, Joseph, Alexander, Aurora, Riley, Victoria, Penelope, Emma, and Logan. Mia remarked, \"(Victoria is a knave or Logan is a knave) if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 848, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 5], [\"lying\", 8]], [\"lying\", 8]], [\"telling-truth\", 5], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 3], [\"telling... | {"split": "train", "index": 7516} |
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, Riley, Grace, Aiden, Lily, Daniel, Abigail, Owen, and Sophia. Joseph told you that (Daniel is a devil) or (Daniel is a devil and Sophia is a de... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 849, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 5]], [\"and\", [\"lying\", 5], [\"lying\", 8]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 6]], [\"lying\", 5]], [\"telling-truth\", 5], [\"and\", [\"n... | {"split": "train", "index": 7517} |
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: Logan, Oliver, Ava, Benjamin, Harper, Ella, Evelyn, Joseph, and Sofia. \"(Joseph is a pioneer and Ella is a laggard) or (Oliver is a pioneer or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 850, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 7], [\"lying\", 5]], [\"or\", [\"telling-truth\", 1], [\"lying\", 8]]], [\"->\", [\"->\", [\"telling-truth\", 0], [\"lying\", 0]], [\"telling-truth\", 3]], [\"<=>\",... | {"split": "train", "index": 7518} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Charlotte, Harper, Mason, Sebastian, Elizabeth, David, Liam, Olivia, and Sophia. Charlotte said, \"Sophia is a laggard.\" \"(Harper is a pionee... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 851, \"statements\": [[\"lying\", 8], [\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 6]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [... | {"split": "train", "index": 7519} |
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: Elizabeth, Benjamin, Emma, Evelyn, Aiden, Ava, Lily, Noah, and Sofia. Elizabeth expressed that Benjamin is a knave. \"it is not the case that (Noah i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 852, \"statements\": [[\"lying\", 1], [\"not\", [\"or\", [\"lying\", 7], [\"telling-truth\", 7]]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 1]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 1]]], [\"->\", [\"tell... | {"split": "train", "index": 7520} |
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, Grace, Ava, Amelia, Jack, Luke, Noah, Penelope, and Owen. Riley expressed that if (if Grace is a sinner then Amelia is a saint) then (if Grace... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 853, \"statements\": [[\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 8]]], [\"not\", [\"lying\", 5]], [\"and\", [\"not\", [\"telling-truth\", 6]], [\"telling-truth\", 1]... | {"split": "train", "index": 7521} |
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: Harper, Alexander, Aria, Jacob, Sebastian, Sophia, Aiden, Ethan, and Emma. Harper commented, \"(Emma is a devil and Harper is an angel) and (Ethan is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 854, \"statements\": [[\"and\", [\"and\", [\"lying\", 8], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 7], [\"lying\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"and\", [\"lying\", 7], [\"lying\", 6]]], [\... | {"split": "train", "index": 7522} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Harper, Alexander, Olivia, Emily, Sophia, Oliver, William, Chloe, and Benjamin. Harper expressed that Chloe is an altruist. Alexander said, \"B... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 855, \"statements\": [[\"telling-truth\", 7], [\"<=>\", [\"telling-truth\", 8], [\"not\", [\"lying\", 2]]], [\"telling-truth\", 6], [\"->\", [\"or\", [\"lying\", 0], [\"telling-truth\", 0]], [\"not\", [\"lying\", 7]]], [\"not\... | {"split": "train", "index": 7523} |
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, Abigail, Henry, Liam, David, Elizabeth, Harper, Grace, and Benjamin. According to Ava, \"it is not the case that (if David is a pioneer th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 856, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 6]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 6]]], [\"telling-truth\", 7], [\"->\", [\"->\", [\"lying\", 6], [\"tell... | {"split": "train", "index": 7524} |
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: Aria, Aiden, Benjamin, Emily, Ethan, Riley, Jackson, Charlotte, and Lily. Aria remarked, \"if (Charlotte is a laggard if and only if Ethan is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 857, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 7], [\"lying\", 4]], [\"not\", [\"telling-truth\", 7]]], [\"and\", [\"or\", [\"telling-truth\", 8], [\"lying\", 6]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 5]]], [\"a... | {"split": "train", "index": 7525} |
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: Alexander, Daniel, Ella, William, Aria, Olivia, Penelope, Ethan, and Ava. Alexander stated, \"Ella is a saint\". Daniel was heard saying, \"Ethan is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 858, \"statements\": [[\"telling-truth\", 2], [\"lying\", 7], [\"not\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 5], [\"telling-truth... | {"split": "train", "index": 7526} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Matthew, Daniel, Ava, James, Grace, Noah, Isabella, Benjamin, and Lily. Matthew said that Lily is a sage. Daniel was heard saying, \"(Matthew is a fool and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 859, \"statements\": [[\"telling-truth\", 8], [\"and\", [\"and\", [\"lying\", 0], [\"lying\", 2]], [\"telling-truth\", 1]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 8]]], [\"not\", [\"and\", [\"lying\"... | {"split": "train", "index": 7527} |
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: Michael, Isabella, Henry, Daniel, Lily, Benjamin, Owen, Oliver, and Charlotte. Michael said that (if Michael is an altruist then Lily is an ego... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 860, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 6], [\"lying\", 8]], [\"<=>\", [\"telling-trut... | {"split": "train", "index": 7528} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Avery, Owen, Amelia, Riley, Liam, Abigail, Jacob, Sebastian, and Lily. Avery remarked, \"(Sebastian is a fool if and only if Amelia is a fool) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 861, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 7], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 7]]], [\"not\", [\"and\", [\"telling-truth\", 7], [\"lying\", 8]]], [\"<=>\", [\"and\", [\"lying\", 5], [... | {"split": "train", "index": 7529} |
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, Mason, Liam, Emma, Logan, Matthew, Alexander, Jack, and Isabella. According to Oliver, \"Mason is an angel if and only if (Matthew is a devil o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 862, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"or\", [\"lying\", 5], [\"telling-truth\", 8]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\"... | {"split": "train", "index": 7530} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Matthew, Lucas, Charlotte, Mia, Sofia, Jacob, Victoria, James, and Jackson. \"it is not the case that (Sofia is an altruist),\" Matthew claimed... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 863, \"statements\": [[\"not\", [\"not\", [\"lying\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 2]], [\"and\", [\"lying\", 6], [\"lying\", 2]]], [\"lying\", 0], [\"and\", [\"and\", [\"lying\", 4], [\... | {"split": "train", "index": 7531} |
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: Liam, Elizabeth, Aria, Sophia, Noah, Matthew, Daniel, Riley, and Penelope. In a statement by Liam: \"(Liam is an angel if and only if Matthew is a devi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 864, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 5]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 7]]], [\"->\", [\"or\", [\"lying\", 5], [\"telling-truth\", 3]], [\"or\", [\"lying\", 6], [\"lyin... | {"split": "train", "index": 7532} |
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: Abigail, Emma, Logan, William, Samuel, Harper, Ella, Jacob, and Riley. \"it is not the case that (Ella is a devil if and only if Jacob is a devil),\" A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 865, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 6], [\"lying\", 7]]], [\"or\", [\"lying\", 6], [\"lying\", 7]], [\"and\", [\"->\", [\"lying\", 5], [\"lying\", 4]], [\"and\", [\"lying\", 7], [\"telling-truth\", 2]]], [\"o... | {"split": "train", "index": 7533} |
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, Lucas, Jackson, Zoey, Evelyn, Isabella, Amelia, Emily, and Grace. Benjamin stated, \"(Evelyn is a laggard if and only if Evelyn is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 866, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"or\", [\"lying\", 2], [\"lying\", 4]]], [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\",... | {"split": "train", "index": 7534} |
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, Sofia, Aurora, Penelope, Avery, Mia, Riley, Joseph, and James. In Victoria's words: \"it is not the case that (Aurora is a pioneer if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 867, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"lying\", 8], [\"->\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 8]]], [\"<=>\", [\"and\", [\"telling-tr... | {"split": "train", "index": 7535} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Penelope, David, Mason, Aiden, Samuel, Sofia, Olivia, Owen, and Daniel. Penelope told you that it is not the case that (David is a pioneer and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 868, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 8]]], [\"<=>\", [\"not\", [\"lying\", 5]], [\"not\", [\"lying\", 8]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 6]], ... | {"split": "train", "index": 7536} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Matthew, Ava, Ethan, Amelia, Abigail, Daniel, Luke, Aurora, and Lily. Matthew told you that (Abigail is an egoist if and only if Daniel is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 869, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 6]]], [\"<=>\", [\"not\", [\"telling-truth\", 6]], [\"telling-truth\", 3]], [\"not\", [\"n... | {"split": "train", "index": 7537} |
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: Ella, Sebastian, Charlotte, Oliver, Avery, Luke, Isabella, Aiden, and Mason. Ella commented, \"Oliver is a hero\". Sebastian told you that (Aiden is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 870, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"not\", [\"telling-truth\", 7]], [\"or\", [\"lying\", 7], [\"telling-truth\", 7]]], [\"and\", [\"->\", [\"lying\", 7], [\"lying\", 3]], [\"or\", [\"lying\", 3], [\"lyin... | {"split": "train", "index": 7538} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Elizabeth, Ava, Victoria, Liam, Jack, Matthew, Zoey, David, and Sebastian. Elizabeth remarked, \"(if David is an egoist then Ava is an egoist) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 871, \"statements\": [[\"or\", [\"->\", [\"lying\", 7], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 2]]], [\"and\", [\"lying\", 2], [\"not\", [\"telling-truth\", 8]]], [\"<=>\", [\"or\", [\"telling-truth\", ... | {"split": "train", "index": 7539} |
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, Owen, Joseph, Abigail, Emma, Lucas, Logan, Daniel, and Victoria. Liam expressed that if (Abigail is a hero) then (Daniel is a villain and Abiga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 872, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 7], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 1], [\"telling-truth... | {"split": "train", "index": 7540} |
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, Ethan, Evelyn, Harper, Avery, Michael, Amelia, Benjamin, and Joseph. Abigail noted, \"if (Ethan is a knight if and only if Abigail is a knig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 873, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"telling-truth\", 5], [\"<=>\", [\"ly... | {"split": "train", "index": 7541} |
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, James, Henry, Liam, Mia, William, Emily, Luke, and Aiden. Isabella asserted: \"Isabella is a saint\". \"(Henry is a saint or Luke is a sinn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 874, \"statements\": [[\"telling-truth\", 0], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 7]], [\"telling-truth\", 8]], [\"or\", [\"or\", [\"lying\", 0], [\"lying\", 1]], [\"telling-truth\", 4]], [\"->\", [\"or\", [... | {"split": "train", "index": 7542} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Liam, Isabella, Alexander, Avery, Aria, Sebastian, Daniel, Olivia, and Logan. Liam noted, \"(Sebastian is an altruist if and only if Avery is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 875, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 3]], [\"not\", [\"lying\", 6]]], [\"<=>\", [\"and\", [\"lying\", 6], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 8]]], [\... | {"split": "train", "index": 7543} |
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: James, Henry, Lily, Ethan, Sophia, Joseph, Jacob, Aurora, and Aria. James said that Aria is an angel if and only if (Jacob is a devil). \"if (Ethan is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 876, \"statements\": [[\"<=>\", [\"telling-truth\", 8], [\"not\", [\"telling-truth\", 6]]], [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"lying\", 2], [\"lying\", 8]]], [\"or\", [\"telling-truth\", 1]... | {"split": "train", "index": 7544} |
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, Riley, Matthew, Lucas, Amelia, Joseph, Scarlett, Michael, and Samuel. Ella noted, \"(if Scarlett is a laggard then Samuel is a pioneer) i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 877, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 6], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 2], [\"lying\", 7]]], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"or\", [\"lying\", 5], [\"lying\... | {"split": "train", "index": 7545} |
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: Samuel, Ella, Charlotte, Zoey, Penelope, Aurora, Benjamin, Victoria, and Amelia. Samuel told you that (Amelia is a knave and Penelope is a knave) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 878, \"statements\": [[\"or\", [\"and\", [\"lying\", 8], [\"lying\", 4]], [\"or\", [\"lying\", 7], [\"telling-truth\", 8]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 8]]], [\"or\", [\"or\", [\"telling-tr... | {"split": "train", "index": 7546} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Luke, Liam, Ava, Aiden, Elizabeth, Jack, Ella, Samuel, and Emma. \"(Ella is a knave or Emma is a knave) or (Liam is a knave),\" Luke mentioned. Liam ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 879, \"statements\": [[\"or\", [\"or\", [\"lying\", 6], [\"lying\", 8]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"lying\", 6], [\"lying\", 7]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"tellin... | {"split": "train", "index": 7547} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Jackson, Lucas, James, Logan, Ella, Jacob, Henry, Chloe, and Lily. \"if (James is a knight if and only if Lily is a knight) then (James is a knight a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 880, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"and\", [\"->\", [\"lying\", 6], [\"lying\", 5]], [\"not\", [\"telling-tru... | {"split": "train", "index": 7548} |
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, Sofia, Jack, James, Benjamin, Avery, Aurora, Sophia, and Alexander. \"(James is a knight or Avery is a knight) if and only if Jack is a knave\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 881, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"lying\", 2]], [\"lying\", 4], [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"lying\", 5]], [\"<=>\", [\"not\",... | {"split": "train", "index": 7549} |
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: Elizabeth, Jack, Oliver, Joseph, Aiden, Olivia, Matthew, Ethan, and William. Elizabeth commented, \"it is not the case that (Aiden is a fool if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 882, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"lying\", 6]], [\"or\", [\"lying\", 8], [\"or\", [\"telling-truth\", 4], ... | {"split": "train", "index": 7550} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Jack, Grace, Avery, Joseph, Aiden, Noah, Liam, Sophia, and Penelope. Jack was heard saying, \"(Penelope is a sinner or Aiden is a saint) and Penelope... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 883, \"statements\": [[\"and\", [\"or\", [\"lying\", 8], [\"telling-truth\", 4]], [\"lying\", 8]], [\"or\", [\"telling-truth\", 3], [\"or\", [\"lying\", 4], [\"lying\", 7]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lyin... | {"split": "train", "index": 7551} |
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: Samuel, William, Mia, Ava, Henry, Penelope, Liam, Mason, and Lily. Samuel was heard saying, \"Lily is a sage\". In William's words: \"it is not the case th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 884, \"statements\": [[\"telling-truth\", 8], [\"not\", [\"->\", [\"telling-truth\", 0], [\"lying\", 8]]], [\"and\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 8]]]... | {"split": "train", "index": 7552} |
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, Noah, Scarlett, Abigail, Aiden, Henry, David, Chloe, and Mason. According to Emily, \"(Henry is a sinner) if and only if Aiden is a sinner\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 885, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"lying\", 4]], [\"or\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"lying\", 3], [\"or\", [\"telling-truth\", 8], [\"lying\", 1]... | {"split": "train", "index": 7553} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Jacob, Benjamin, Amelia, Sebastian, Lily, Emma, Penelope, Henry, and Ava. According to Jacob, \"if (Sebastian is a knave or Amelia is a knight) then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 886, \"statements\": [[\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]], [\"lying\", 8]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 7]]], [\"not\", [\"->\", [\"telling-truth\", 5], [\"telling-truth... | {"split": "train", "index": 7554} |
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, Elizabeth, Isabella, Penelope, Henry, Scarlett, Avery, Mia, and Jack. In a statement by Jacob: \"(Jack is a saint) and (Elizabeth is a saint)\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 887, \"statements\": [[\"and\", [\"not\", [\"lying\", 8]], [\"not\", [\"lying\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 7]]], [\"->\", [\"not\",... | {"split": "train", "index": 7555} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Ava, Emily, Sofia, Daniel, Sophia, Lily, Evelyn, Liam, and Aria. Ava stated, \"Sofia is a saint if and only if (if Sophia is a sinner then Daniel is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 888, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"telling-truth\", 1], [\"or\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 5]], [\"or\", [\"lying\", 8], [\"telling... | {"split": "train", "index": 7556} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Joseph, Victoria, Sebastian, Logan, Zoey, Luke, Samuel, Aiden, and Benjamin. Joseph said, \"(if Luke is a knave then Luke is a knight) and (Zoey is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 889, \"statements\": [[\"and\", [\"->\", [\"lying\", 5], [\"telling-truth\", 5]], [\"and\", [\"lying\", 4], [\"telling-truth\", 7]]], [\"and\", [\"->\", [\"telling-truth\", 6], [\"lying\", 3]], [\"<=>\", [\"lying\", 5], [\"tel... | {"split": "train", "index": 7557} |
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: Scarlett, Harper, Avery, Aurora, Emily, Jackson, Riley, Mason, and Ethan. Scarlett expressed that (Mason is a laggard if and only if Aurora is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 890, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 7], [\"lying\", 3]], [\"->\", [\"lying\", 7], [\"lying\", 4]]], [\"and\", [\"<=>\", [\"lying\", 8], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 8]]], [\"... | {"split": "train", "index": 7558} |
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: Matthew, Scarlett, Amelia, Sofia, Sebastian, Mia, Charlotte, Jacob, and Ella. Matthew was heard saying, \"(Scarlett is a sinner or Scarlett is a sain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 891, \"statements\": [[\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 6]]], [\"or\", [\"not\", [\"lying\", 4]], [\"lying\", 4]], [\"or\", [\"telling-truth\", 1],... | {"split": "train", "index": 7559} |
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, James, Ethan, Sebastian, Aria, David, Zoey, Chloe, and Lily. In a statement by Ella: \"if (Aria is a laggard and James is a pioneer) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 892, \"statements\": [[\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 1], [\"lying\", 5]]], [\"not\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 8]]], [\"lying\", 5], [\"telling-trut... | {"split": "train", "index": 7560} |
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: Jackson, Zoey, Benjamin, Sophia, Emily, Riley, Victoria, Aurora, and Evelyn. In a statement by Jackson: \"(Zoey is a devil if and only if Victoria is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 893, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 1], [\"lying\", 6]], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 8], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 6]]], [\"not\", [\"<=>\", [\"telling-truth\", 1]... | {"split": "train", "index": 7561} |
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: Ella, Chloe, Aria, Oliver, Zoey, Evelyn, Sebastian, Luke, and James. Ella said that (Chloe is a knave or Oliver is a knave) and (Ella is a knave). Ch... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 894, \"statements\": [[\"and\", [\"or\", [\"lying\", 1], [\"lying\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"lying\", 0], [\"->\", [\"lying\", 0], [\"lying\", 4]]], [\"->\", [\"telling-truth\", 6], [\"or\", [\"te... | {"split": "train", "index": 7562} |
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, Aria, Lily, Jack, Emily, Oliver, Jackson, Sebastian, and Olivia. David asserted: \"(if Lily is a knight then Jackson is a knave) or (Aria is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 895, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 6]], [\"or\", [\"lying\", 1], [\"lying\", 2]]], [\"telling-truth\", 3], [\"->\", [\"->\", [\"telling-truth\", 7], [\"lying\", 6]], [\"->\", [\"telling... | {"split": "train", "index": 7563} |
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, Penelope, Ava, Oliver, Aria, Charlotte, Luke, David, and Grace. William expressed that Ava is a hero. According to Penelope, \"(if Aria is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 896, \"statements\": [[\"not\", [\"lying\", 2]], [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 7]], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 8]], [\"not\", [\"telling-... | {"split": "train", "index": 7564} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Noah, Zoey, Daniel, Jacob, Penelope, Emma, Isabella, Charlotte, and Emily. Noah said that (Charlotte is a fool or Isabella is a fool) or (Penelope is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 897, \"statements\": [[\"or\", [\"or\", [\"lying\", 7], [\"lying\", 6]], [\"and\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"telling-truth\", 0], [\"telling-truth\", 8], [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-... | {"split": "train", "index": 7565} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Riley, Ethan, Lily, Chloe, Noah, Olivia, Jack, Logan, and Elizabeth. In Riley's words: \"(Elizabeth is a villain) and (Olivia is a villain)\". \"(Chl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 898, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 5]]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"not\", [\"lying\", 7]]], [\"->\", [\"not\", [\"lying\", 5]], [\"not\", [\"lying\", ... | {"split": "train", "index": 7566} |
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: Alexander, William, Aiden, Evelyn, Henry, Ethan, Matthew, Lily, and Aria. Alexander expressed that if (William is a saint or William is a sinner) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 899, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"telling-truth... | {"split": "train", "index": 7567} |
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: Sebastian, Mia, William, Benjamin, Amelia, Olivia, Elizabeth, Jack, and Sofia. Sebastian told you that (Olivia is an egoist) and (Benjamin is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 900, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"lying\", 0], [\"telling-truth\", 0], [\"or\", [\"->\", [\"telling-truth\", 7], [\"lying\", 8]], [\"not\"... | {"split": "train", "index": 7568} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Sofia, Jack, Charlotte, Sebastian, Luke, Logan, Isabella, Amelia, and Avery. Sofia told you that it is not the case that (if Sebastian is an al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 901, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"<=>\", [\"not\", [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 2], [\"lying\", 6]]], [\"and\", [\"telling-truth\", 3], [\"or\", [\"telling-... | {"split": "train", "index": 7569} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Jackson, Joseph, Mason, Elizabeth, Noah, Evelyn, Owen, Liam, and William. According to Jackson, \"William is an egoist\". Joseph said, \"(Willi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 902, \"statements\": [[\"lying\", 8], [\"<=>\", [\"and\", [\"lying\", 8], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 4], [\"lying\", 7]]], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 5]], [\"lying\", 1]],... | {"split": "train", "index": 7570} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Oliver, Lucas, Sebastian, Noah, Harper, Benjamin, Chloe, Evelyn, and Sofia. Oliver told you that Sofia is a villain. As Lucas put it, \"if (Evelyn is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 903, \"statements\": [[\"lying\", 8], [\"->\", [\"not\", [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 7], [\"lying\", 5]]], [\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 7]... | {"split": "train", "index": 7571} |
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: James, David, Jack, Michael, Emily, Grace, Samuel, Daniel, and Victoria. James noted, \"if (Emily is a devil) then (if David is an angel then Jack is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 904, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"telling-tru... | {"split": "train", "index": 7572} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Benjamin, Sebastian, Charlotte, Chloe, Owen, Lucas, Amelia, William, and Lily. Benjamin expressed that if (Charlotte is a hero) then Lily is a hero. ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 905, \"statements\": [[\"->\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 8]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 7]]], [\"->\", [\"and\", [\"telling-truth\", 6], [\"lying\", 1]], [\"and\", [\"telling-... | {"split": "train", "index": 7573} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: William, Aiden, Riley, Oliver, Harper, Victoria, Lucas, Elizabeth, and Michael. William asserted: \"(Harper is an angel and Aiden is an angel) or (if W... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 906, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 6]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 7]], [\"lying\"... | {"split": "train", "index": 7574} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Sofia, Charlotte, Isabella, Liam, Ethan, Amelia, Joseph, Mia, and Logan. Sofia said, \"(if Joseph is an egoist then Logan is an altruist) or (A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 907, \"statements\": [[\"or\", [\"->\", [\"lying\", 6], [\"telling-truth\", 8]], [\"or\", [\"lying\", 5], [\"lying\", 3]]], [\"or\", [\"telling-truth\", 3], [\"or\", [\"lying\", 5], [\"telling-truth\", 7]]], [\"lying\", 3], [\... | {"split": "train", "index": 7575} |
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: Penelope, Isabella, Ava, Scarlett, Jack, Victoria, Aria, Abigail, and Emma. Penelope asserted: \"if (Victoria is a sinner) then Scarlett is a sinner\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 908, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 5]], [\"lying\", 3]], [\"->\", [\"not\", [\"lying\", 5]], [\"or\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"lying\", 5], [\"and\", [\"->\", [\"telling-truth\", 3... | {"split": "train", "index": 7576} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Grace, Penelope, Luke, Evelyn, Abigail, Ethan, Oliver, Jackson, and Harper. Grace asserted: \"if (Ethan is a hero if and only if Harper is a hero) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 909, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 8]], [\"->\", [\"lying\", 6], [\"lying\", 7]]], [\"and\", [\"and\", [\"lying\", 6], [\"lying\", 3]], [\"or\", [\"telling-truth\", 1], [\"tell... | {"split": "train", "index": 7577} |
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: Sophia, Mia, Oliver, Lucas, Emily, Scarlett, David, Charlotte, and Ella. In Sophia's words: \"if (Mia is a knight and David is a knight) then (David ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 910, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 6]], [\"or\", [\"lying\", 6], [\"lying\", 4]]], [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 6]], [\"lying\", 4]], [\"lying\", 0], ... | {"split": "train", "index": 7578} |
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, Ava, Logan, Samuel, Evelyn, Zoey, Mason, Emma, and Oliver. Jack commented, \"(Emma is a hero if and only if Logan is a villain) and (Logan is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 911, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 2]], [\"not\", [\"lying\", 2]]], [\"->\", [\"->\", [\"lying\", 6], [\"telling-truth\", 5]], [\"telling-truth\", 5]], [\"<=>\", [\"->\", [\"lying\", ... | {"split": "train", "index": 7579} |
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, Michael, Liam, Luke, Victoria, Sofia, Sebastian, Emily, and Daniel. In a statement by Mia: \"Victoria is a villain\". \"Daniel is a villain,\" M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 912, \"statements\": [[\"lying\", 4], [\"lying\", 8], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 7]]], [\"or\", [\"->\", [\"lying\", 8], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 6]]],... | {"split": "train", "index": 7580} |
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: Grace, Logan, Isabella, James, Aurora, Amelia, Oliver, Alexander, and Luke. \"(Luke is an altruist or James is an altruist) or Logan is an altr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 913, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"telling-truth\", 1]], [\"and\", [\"lying\", 5], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 5]]], [\"not\", [\"or\", [\"lyin... | {"split": "train", "index": 7581} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Sofia, Alexander, Mason, Ava, Riley, Aria, Emily, Ethan, and David. \"(if Ava is an altruist then David is an altruist) or (David is an egoist)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 914, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 8]]], [\"->\", [\"not\", [\"lying\", 6]], [\"and\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"not\", [\"... | {"split": "train", "index": 7582} |
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: Emma, Luke, Ella, Ethan, James, Noah, Sofia, Riley, and Evelyn. \"if (Ella is a knave if and only if Luke is a knight) then (Emma is a knight and Eth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 915, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"not\", [\"and\", [\"lying\", 6], [\"telling-truth\", 6]]], [\"or\", [\"lying\", 4], [\"ly... | {"split": "train", "index": 7583} |
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: Chloe, Mia, Riley, Joseph, Zoey, William, Grace, Michael, and Elizabeth. Chloe told you that (Michael is a knight and Mia is a knight) and Zoey is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 916, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"lying\", 4]], [\"telling-truth\", 0], [\"lying\", 6], [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"<=>\", [... | {"split": "train", "index": 7584} |
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: Ethan, Sofia, Alexander, Sophia, Lily, Harper, Emily, Chloe, and Matthew. Ethan said, \"(if Alexander is an egoist then Harper is an altruist) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 917, \"statements\": [[\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 6], [\"lying\", 6]]], [\"lying\", 0], [\"->\", [\"telling-truth\", 5], [\"or\", [\"telling-truth\", 5], [\"telling-... | {"split": "train", "index": 7585} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Lily, Abigail, Ella, Aiden, Amelia, Daniel, Elizabeth, Scarlett, and Victoria. Lily commented, \"(Victoria is an angel) and (Scarlett is an angel and V... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 918, \"statements\": [[\"and\", [\"not\", [\"lying\", 8]], [\"and\", [\"telling-truth\", 7], [\"lying\", 8]]], [\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 8]], [\"and\", [\"telling-truth\", 0], [\"lying\", 7]]], [\"... | {"split": "train", "index": 7586} |
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, Liam, Abigail, Sophia, Evelyn, Aria, Emily, Owen, and Isabella. \"it is not the case that (Owen is a laggard),\" Noah declared. Liam note... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 919, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 7]]], [\"or\", [\"not\", [\"lying\", 0]], [\"->\", [\"lying\", 8], [\"lying\", 3]]], [\"and\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 8]]], [\"lying\... | {"split": "train", "index": 7587} |
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: James, Emma, Abigail, Olivia, Sebastian, Aria, Sofia, Penelope, and Ella. \"if (if Sofia is a devil then James is an angel) then (Sebastian is a devil)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 920, \"statements\": [[\"->\", [\"->\", [\"lying\", 6], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"lying\", 6], [\"lying\", 7]], [\"not\", [\"telling-truth\", 7]]], [\"telling-truth\", ... | {"split": "train", "index": 7588} |
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: Alexander, Logan, Sophia, Lucas, Aria, Mason, Samuel, Olivia, and Charlotte. Alexander asserted: \"(Charlotte is a pioneer or Samuel is a pione... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 921, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 6]], [\"or\", [\"lying\", 6], [\"lying\", 3]]], [\"telling-truth\", 5], [\"lying\", 6], [\"and\", [\"->\", [\"lying\", 0], [\"lying\", 4]], [... | {"split": "train", "index": 7589} |
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: Benjamin, Emily, William, Daniel, Charlotte, Luke, Aurora, Aiden, and Abigail. \"if (William is a saint) then (Aiden is a saint if and only if Willia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 922, \"statements\": [[\"->\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 2]]], [\"lying\", 3], [\"lying\", 0], [\"<=>\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"not\"... | {"split": "train", "index": 7590} |
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: Henry, Jacob, Chloe, Michael, Riley, Zoey, Emily, Mia, and Mason. In a statement by Henry: \"Chloe is an egoist and (Zoey is an egoist or Micha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 923, \"statements\": [[\"and\", [\"lying\", 2], [\"or\", [\"lying\", 5], [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 5]]], [\"or\", [\"lyi... | {"split": "train", "index": 7591} |
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: Joseph, Jacob, Henry, Aiden, Riley, Amelia, Jackson, Mia, and Ethan. Joseph stated, \"Mia is a fool if and only if Jackson is a fool\". \"if (Joseph is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 924, \"statements\": [[\"<=>\", [\"lying\", 7], [\"lying\", 6]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 8]], [\"or\", [\"lying\", 4], [\"lying\", 7]]], [\"not\", [\"->\", [\"lying\", 5], [\"telling-trut... | {"split": "train", "index": 7592} |
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, William, Lily, Amelia, Chloe, Lucas, Sebastian, Grace, and Mason. \"it is not the case that (Chloe is a knight),\" Abigail claimed. William ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 925, \"statements\": [[\"not\", [\"not\", [\"lying\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"lying\", 6]], [... | {"split": "train", "index": 7593} |
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, Zoey, David, Benjamin, Matthew, Olivia, Joseph, Michael, and Henry. Emma asserted: \"it is not the case that (Joseph is a devil or David is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 926, \"statements\": [[\"not\", [\"or\", [\"lying\", 6], [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"lying\", 7], [\"telling-truth\", 0]], [\"not\", [\"lying\", 2]]], [\"and\", [\"telling-truth\", 1], [\"or\", [\"telling-... | {"split": "train", "index": 7594} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Abigail, Matthew, Olivia, Noah, Samuel, Harper, Scarlett, Mia, and Aria. In a statement by Abigail: \"Mia is a pioneer and (Abigail is a pionee... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 927, \"statements\": [[\"and\", [\"telling-truth\", 7], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"or\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 6]], [\"lying\", 5]], [\"not\", [\"or\", [\"lying\", 5], [\"lyi... | {"split": "train", "index": 7595} |
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: Noah, Samuel, Scarlett, Isabella, Sophia, Amelia, Avery, Ava, and Henry. Noah asserted: \"(Sophia is a saint) and Isabella is a sinner\". \"Scarlett ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 928, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"lying\", 3]], [\"telling-truth\", 2], [\"not\", [\"->\", [\"lying\", 8], [\"telling-truth\", 8]]], [\"->\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 4]]... | {"split": "train", "index": 7596} |
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, Lucas, Alexander, Emma, Ava, James, Riley, Henry, and Aria. Joseph stated, \"(if Alexander is an altruist then Alexander is an egoist) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 929, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"lying\", 8]], [\"lying\", 2], [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 6]], [\"not\", [\"lying\", 4]]], [\"->\", [\"not\", [\"... | {"split": "train", "index": 7597} |
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: Emma, Penelope, Aurora, David, Alexander, Olivia, James, Chloe, and Ella. Emma told you that (if David is a laggard then Ella is a pioneer) if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 930, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 5]]], [\"not\", [\"and\", [\"lying\", 8], [\"lying\", 3]]], [\"->\", [\"telling-truth\", 6], [\"an... | {"split": "train", "index": 7598} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Avery, Penelope, Henry, Victoria, Alexander, Jack, Aiden, Sophia, and Logan. In Avery's words: \"it is not the case that (Logan is a sage if and only if So... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 931, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 7]]], [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 0]], [\"lying\", 6]], [\"lying\", 7], [\"and\", [\"or\", [\"telling-truth\", 1], [\"lyin... | {"split": "train", "index": 7599} |
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