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 heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Oliver, William, Emily, Luke, Zoey, Benjamin, Jacob, Noah, and Owen. According to Oliver, \"it is not the case that (Zoey is a villain or Oliver is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1010, \"statements\": [[\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0], [\"lying\", 2]]], [\"lying\", 4], [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 6], [\"telli... | {"split": "train", "index": 9900} |
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, Lucas, Zoey, Jackson, Victoria, Ethan, James, William, and Scarlett. \"it is not the case that (Scarlett is a sage if and only if Samuel is a sage)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1011, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 0]]], [\"<=>\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 6], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 8]]], [\"<... | {"split": "train", "index": 9901} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Victoria, James, Henry, Sebastian, Aurora, Lily, Owen, Aiden, and Ella. Victoria remarked, \"if (Aurora is a devil) then (Sebastian is a devil and Auro... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1012, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 3]]], [\"telling-truth\", 0], [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 8], [... | {"split": "train", "index": 9902} |
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: Owen, Zoey, Scarlett, Sofia, Harper, Victoria, Grace, Mia, and Oliver. \"(Sofia is an egoist) and Grace is an altruist and Oliver is an egoist,... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1013, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 6], [\"lying\", 8]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 0]], [\"lying\", 3]], [\"or\", [\"lying\", 0], [\"<=>\", [\"l... | {"split": "train", "index": 9903} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Jacob, Ava, Benjamin, Zoey, Jack, Liam, Luke, Amelia, and Daniel. Jacob said, \"it is not the case that (Jack is a sage and Luke is a sage).\" In Ava's wor... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1014, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 6]]], [\"not\", [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"or\", [\"and\", [\"lying\", 5], [\"lying\", 7]], [\"<=>\", [\"telling-truth\"... | {"split": "train", "index": 9904} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Charlotte, Liam, Sebastian, Isabella, Lucas, Matthew, Logan, Jack, and Riley. Charlotte told you that if (if Lucas is an altruist then Jack is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1015, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 7]], [\"<=>\", [\"lying\", 5], [\"lying\", 8]]], [\"lying\", 4], [\"telling-truth\", 7], [\"telling-truth\", 3], [\"or\", [\"<=>\", [\"lying\", 6], [... | {"split": "train", "index": 9905} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Emma, Isabella, Aiden, Harper, Matthew, Liam, Avery, James, and Henry. According to Emma, \"it is not the case that (Aiden is a saint and Avery is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1016, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 6]]], [\"and\", [\"->\", [\"telling-truth\", 5], [\"lying\", 4]], [\"and\", [\"lying\", 8], [\"telling-truth\", 6], [\"lying\", 0]]], [\"not\", [\"... | {"split": "train", "index": 9906} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Luke, Penelope, Samuel, Evelyn, Sophia, Jackson, James, Michael, and Avery. Luke expressed that (if Evelyn is a sage then Michael is a fool) if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1017, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 7]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 5]]], [\"and\", [\"not\", [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 0], [\"telling-tr... | {"split": "train", "index": 9907} |
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, Luke, Ethan, Matthew, Aiden, Logan, Samuel, Sebastian, and Ella. Noah said that Matthew is a saint. Luke said, \"Samuel is a sinner and (Aiden ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1018, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"lying\", 6], [\"and\", [\"telling-truth\", 4], [\"lying\", 7], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 4], [\"lying\", 5], [\"telling-truth\", 3]]], [\"... | {"split": "train", "index": 9908} |
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, Michael, Charlotte, Aria, Evelyn, Isabella, Lily, Olivia, and Henry. \"Michael is a hero,\" Jack mentioned. Michael commented, \"Charlotte is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1019, \"statements\": [[\"telling-truth\", 1], [\"lying\", 2], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"telling-truth\", 8], [\"->\", [\"telling-truth\", 6], [\"lying\", 8]]], [\"lying\", 5], [\"t... | {"split": "train", "index": 9909} |
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: Noah, Aurora, Aiden, Evelyn, Ethan, Sofia, Emma, Zoey, and Charlotte. \"(Evelyn is an angel and Sofia is an angel and Evelyn is a devil) and (Aiden is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1020, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 5], [\"lying\", 3]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 8]]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 8]]... | {"split": "train", "index": 9910} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Elizabeth, Olivia, Sebastian, Logan, Lucas, Isabella, Owen, Joseph, and Abigail. Elizabeth said, \"(Lucas is a villain or Logan is a hero or Owen is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1021, \"statements\": [[\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"lying\", 8]], [\"->\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"lying\", 3], [\"telling-truth\", 0]]], ... | {"split": "train", "index": 9911} |
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, Emma, Mason, Noah, Lucas, Mia, Samuel, Sophia, and Amelia. As Ella put it, \"it is not the case that (if Lucas is a laggard then Sophia i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1022, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 7]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 0]]], [\"not\", [\"<=>\", [\"lying\", 5], [\"lying\", 6]]], [\"lying\", 1], ... | {"split": "train", "index": 9912} |
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, Samuel, Liam, Evelyn, Amelia, Sebastian, Sofia, Zoey, and Emily. Jacob was heard saying, \"it is not the case that (Liam is a knight or Sebast... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1023, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 5]]], [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 3]]], [\"->\", [\"->\", [\"t... | {"split": "train", "index": 9913} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Amelia, Samuel, Avery, Emma, Daniel, Sebastian, Aurora, Jacob, and Henry. Amelia asserted: \"Emma is a knave\". Samuel stated, \"(Daniel is a knave) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1024, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"lying\", 4]], [\"lying\", 3], [\"or\", [\"lying\", 6], [\"lying\... | {"split": "train", "index": 9914} |
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: James, Samuel, Aiden, Daniel, William, Amelia, Henry, Benjamin, and Avery. James expressed that William is a sage or (if William is a fool then Aiden is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1025, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 5], [\"lying\", 1], [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"lying\", 3]]], [\"or\... | {"split": "train", "index": 9915} |
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, James, Sophia, Ethan, Jacob, Emma, Noah, Ella, and Aria. \"(if Noah is a fool then Ella is a sage) and (Sophia is a fool if and only if Aiden is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1026, \"statements\": [[\"and\", [\"->\", [\"lying\", 6], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"lying\", 8]]], [\"not\", [\"not\", [\"lying\", 0]]], [\"<=>\", [... | {"split": "train", "index": 9916} |
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, Grace, Daniel, David, Penelope, Aiden, Liam, Mia, and Mason. In Oliver's words: \"if (Mia is a hero or David is a villain or Mason is a villa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1027, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 7], [\"lying\", 3], [\"lying\", 8]], [\"->\", [\"telling-truth\", 3], [\"lying\", 7]]], [\"lying\", 4], [\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\"... | {"split": "train", "index": 9917} |
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: Ethan, Oliver, Jackson, Riley, Owen, Lucas, Luke, Daniel, and Jacob. In Ethan's words: \"Daniel is a fool and (Jackson is a fool) and (Oliver is a fool and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1028, \"statements\": [[\"and\", [\"lying\", 7], [\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 1], [\"lying\", 8], [\"telling-truth\", 8]]], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 2]], [\"o... | {"split": "train", "index": 9918} |
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: Evelyn, Alexander, Amelia, Emily, Victoria, Scarlett, Zoey, Grace, and Abigail. As Evelyn put it, \"Victoria is a hero\". \"Grace is a villain,\" Ale... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1029, \"statements\": [[\"telling-truth\", 4], [\"lying\", 7], [\"and\", [\"<=>\", [\"lying\", 5], [\"lying\", 1]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]]],... | {"split": "train", "index": 9919} |
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, Michael, Benjamin, Ella, Zoey, Aurora, Mia, Ethan, and Victoria. Matthew noted, \"(if Ethan is a sage then Zoey is a fool) if and only if (Ethan i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1030, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 7], [\"lying\", 4]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 3], [\"lying\", 7]]], [\"<=>\", [\"and\", [\"telling-truth\", 7], [\"lying\", 3], [\"tell... | {"split": "train", "index": 9920} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Jacob, Emily, Avery, Matthew, Amelia, Scarlett, Emma, Jackson, and Abigail. Jacob was heard saying, \"Amelia is an altruist\". Emily said, \"(E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1031, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 8], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 6]]], [\"and\", [\"->\", [\"lying\", 7], [\"lying\", 0]], [\"not\... | {"split": "train", "index": 9921} |
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: Aria, Sofia, Alexander, Lucas, Ella, Charlotte, Riley, Samuel, and Jackson. Aria said, \"Jackson is a saint.\" \"(Samuel is a sinner and Riley is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1032, \"statements\": [[\"telling-truth\", 8], [\"and\", [\"and\", [\"lying\", 7], [\"telling-truth\", 6], [\"telling-truth\", 7]], [\"lying\", 5], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 7]]], [\"->\", [\"lying\", 0], [... | {"split": "train", "index": 9922} |
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: Olivia, Henry, Sofia, Isabella, Penelope, Sebastian, Noah, Aria, and Jacob. Olivia expressed that Jacob is a fool. In Henry's words: \"it is not the case t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1033, \"statements\": [[\"lying\", 8], [\"not\", [\"and\", [\"lying\", 8], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 6]]], [\"and\", [\"or\", [\"telling-truth\"... | {"split": "train", "index": 9923} |
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: Amelia, Isabella, Victoria, Ava, Oliver, Charlotte, Daniel, Riley, and William. Amelia expressed that (Isabella is a fool) or (William is a fool) or (Victo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1034, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 8], [\"lying\", ... | {"split": "train", "index": 9924} |
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: Grace, Abigail, Zoey, Aiden, Elizabeth, Harper, Samuel, Logan, and Henry. According to Grace, \"if (Samuel is a knave or Logan is a knave) then (Loga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1035, \"statements\": [[\"->\", [\"or\", [\"lying\", 6], [\"lying\", 7]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 5]]], [\"and\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"l... | {"split": "train", "index": 9925} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Mia, Harper, Scarlett, Elizabeth, Aurora, Jack, Jackson, Chloe, and Michael. Mia was heard saying, \"(Harper is a fool or Harper is a sage or Scarlett is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1036, \"statements\": [[\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 2], [\"lying\", 5]]], [\"->\", [\"telling-truth\", 2], [\"and\", [\"lying\", 6], [\"telling-truth... | {"split": "train", "index": 9926} |
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, Owen, Penelope, Ella, Harper, Zoey, William, Alexander, and Sophia. James noted, \"Zoey is a devil\". Owen expressed that it is not the case tha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1037, \"statements\": [[\"lying\", 5], [\"not\", [\"not\", [\"lying\", 3]]], [\"telling-truth\", 1], [\"->\", [\"not\", [\"lying\", 5]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 6], [\"lying\", 6]]], [\"and\", [\"... | {"split": "train", "index": 9927} |
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: Charlotte, Liam, Ethan, Sebastian, Avery, Emily, Victoria, Sophia, and Jackson. As Charlotte put it, \"if (Ethan is a fool if and only if Sophia is a sage)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1038, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 7]], [\"and\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"lying\", 8], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 7],... | {"split": "train", "index": 9928} |
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: Mia, Ella, Noah, Avery, Penelope, Michael, Isabella, Sebastian, and Benjamin. Mia noted, \"Sebastian is a laggard\". Ella said that (if Ella is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1039, \"statements\": [[\"lying\", 7], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 0]], [\"not\", [\"telling-truth\", 5]]], [\"<=>\", [\"not\", [\"lying\", 0]], [\"lying\", 8]], [\"not\", [\"->\", [\"telling-truth\"... | {"split": "train", "index": 9929} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: David, Jackson, Oliver, Chloe, Mason, Henry, Charlotte, Aiden, and William. David commented, \"(Aiden is an altruist or William is an egoist or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1040, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 7], [\"lying\", 8], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 7], [\"lying\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 5]], [\"not\... | {"split": "train", "index": 9930} |
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: Logan, Lily, Aria, Aurora, Ella, Amelia, James, Emma, and Noah. As Logan put it, \"it is not the case that (Amelia is a hero and Lily is a villain an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1041, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 5], [\"lying\", 1], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 6], [\"lying\", 6]], [\"lying\", 3], [\"and\", [\"tel... | {"split": "train", "index": 9931} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: William, Alexander, Owen, Noah, Henry, Penelope, Ethan, Aurora, and Abigail. \"it is not the case that (if Noah is a pioneer then Henry is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1042, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 8], [\"telling-truth\", 6]]], [\"->\", [\"or\", [\"lying\", 4], [\"telling-tru... | {"split": "train", "index": 9932} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Benjamin, Logan, Ella, Abigail, James, Mia, Alexander, Olivia, and Matthew. \"(James is an egoist or Alexander is an altruist or Benjamin is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1043, \"statements\": [[\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 6], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 8]], [\"<=>\", [\"lying\", 4], [\"lying\", 8]]], [\"and\", [\"lying\", 7]... | {"split": "train", "index": 9933} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Mason, Mia, Evelyn, Ava, Daniel, Aria, Aiden, Amelia, and Grace. In a statement by Mason: \"(if Grace is a sinner then Aiden is a sinner) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1044, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 8], [\"lying\", 6]], [\"<=>\", [\"lying\", 5], [\"lying\", 3]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"lying\", 5], [\"telling-truth\", 8]... | {"split": "train", "index": 9934} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Ava, Michael, Ella, Charlotte, Mia, Lucas, Alexander, Isabella, and Emily. \"Michael is a devil,\" Ava mentioned. Michael asserted: \"(Charlotte is a d... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1045, \"statements\": [[\"lying\", 1], [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 6], [\"lying\", 3]], [\"not\", [\"lying\", 1]... | {"split": "train", "index": 9935} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Victoria, Noah, Alexander, Isabella, Riley, Lily, Elizabeth, Owen, and Olivia. Victoria said that (Olivia is a hero if and only if Lily is a hero) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1046, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 5]], [\"or\", [\"lying\", 5], [\"telling-truth\", 5]]], [\"telling-truth\", 1], [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"... | {"split": "train", "index": 9936} |
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: Henry, Emma, Grace, Daniel, David, Ella, Samuel, Penelope, and Aria. Henry told you that (Ella is a sinner if and only if Penelope is a sinner) or (S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1047, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 5], [\"lying\", 7]], [\"not\", [\"lying\", 6]]], [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 8]]], [\"or\", [\"or\", [\"lying\", 8], [\"lying\", 4], [\"telling-truth\",... | {"split": "train", "index": 9937} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Jacob, Abigail, Alexander, Lucas, Ava, Emma, Evelyn, Harper, and Aria. \"Lucas is a sage and (Emma is a fool and Emma is a sage and Ava is a sage) and (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1048, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"and\", [\"lying\", 5], [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"->\", [\"lying\", 6], [\"lying\", 8]]], [\"or\", [\"not\", [\"lying\", 0]], [\"->\", [\"lyi... | {"split": "train", "index": 9938} |
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, Victoria, Sophia, Riley, Isabella, Olivia, Chloe, Sofia, and Daniel. Matthew was heard saying, \"Sophia is a sage\". As Victoria put it, \"it is n... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1049, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 5], [\"lying\", 0]]], [\"<=>\", [\"not\", [\"lying\", 5]], [\"or\", [\"telling-truth\", 2], [\"lying\", 7]]], [\"->\", [\"an... | {"split": "train", "index": 9939} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Victoria, Avery, Aiden, James, Jackson, Aria, Olivia, Alexander, and Penelope. As Victoria put it, \"(if Jackson is an egoist then Aria is an e... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1050, \"statements\": [[\"and\", [\"->\", [\"lying\", 4], [\"lying\", 5]], [\"lying\", 6], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"telling-truth... | {"split": "train", "index": 9940} |
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, Harper, Daniel, Mason, Ava, Charlotte, Grace, Elizabeth, and Jack. Oliver expressed that it is not the case that (Charlotte is a villain and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1051, \"statements\": [[\"not\", [\"and\", [\"lying\", 5], [\"telling-truth\", 2], [\"lying\", 7]]], [\"or\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 3],... | {"split": "train", "index": 9941} |
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: Olivia, Mia, Sebastian, Elizabeth, Riley, Jack, Owen, Avery, and Mason. Olivia stated, \"(Mason is a knight and Mia is a knight and Avery is a knight... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1052, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 1], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"lying\", 5]], [\"not\", [\"t... | {"split": "train", "index": 9942} |
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: Evelyn, Isabella, Scarlett, Lucas, Emma, Owen, Olivia, Henry, and Alexander. Evelyn stated, \"it is not the case that (Lucas is a knave if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1053, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 7]]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 4]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 6], [\"lying... | {"split": "train", "index": 9943} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Charlotte, Ava, Luke, Alexander, Jack, Sebastian, Henry, Samuel, and Olivia. Charlotte noted, \"if (if Olivia is a saint then Henry is a saint) then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1054, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 6]], [\"->\", [\"lying\", 2], [\"lying\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"telling-truth\", 6]]], [\"or\"... | {"split": "train", "index": 9944} |
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, James, Evelyn, Victoria, Lucas, Samuel, Harper, Oliver, and Elizabeth. As Joseph put it, \"Lucas is a fool\". James noted, \"(Victoria is a fool an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1055, \"statements\": [[\"lying\", 4], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 7], [\"lying\", 6]], [\"lying\", 8], [\"and\", [\"lying\", 8], [\"lying\", 0], [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [\"telli... | {"split": "train", "index": 9945} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Sofia, Lucas, Penelope, Grace, Aiden, Liam, Sebastian, Logan, and Riley. \"it is not the case that (Liam is a saint and Aiden is a sinner),\" Sofia d... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1056, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 5], [\"lying\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 6], [\"lying\", 3]], [\"telling-truth\", 2]], [\"and\", [\"->\", [\"lying\", 7], [\"te... | {"split": "train", "index": 9946} |
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: Henry, Ethan, Scarlett, Daniel, Amelia, Isabella, Sofia, David, and Owen. Henry noted, \"(Scarlett is a saint or Amelia is a sinner or Isabella is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1057, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 5]], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"or\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 4]], [\"telli... | {"split": "train", "index": 9947} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Oliver, Joseph, Elizabeth, Luke, Ethan, Sebastian, Samuel, Emily, and Charlotte. Oliver said that Joseph is a sinner. Joseph said, \"Charlotte is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1058, \"statements\": [[\"lying\", 1], [\"and\", [\"telling-truth\", 8], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 6], [\"lying\", 4]]], [\"telling-truth\", 1], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"->\", [... | {"split": "train", "index": 9948} |
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: Liam, Riley, Joseph, Michael, Ethan, Harper, Benjamin, Logan, and Lily. Liam told you that if (if Riley is a fool then Benjamin is a fool) then (Joseph is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1059, \"statements\": [[\"->\", [\"->\", [\"lying\", 1], [\"lying\", 6]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth... | {"split": "train", "index": 9949} |
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: Zoey, Ava, Sofia, Lucas, Lily, William, Matthew, Joseph, and Henry. Zoey said, \"Joseph is a hero.\" In Ava's words: \"if (William is a villain and L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1060, \"statements\": [[\"telling-truth\", 7], [\"->\", [\"and\", [\"lying\", 5], [\"lying\", 4]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 1]], [\"and\"... | {"split": "train", "index": 9950} |
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, Abigail, Aria, Scarlett, Ethan, Grace, Oliver, and Matthew. Michael commented, \"(if Scarlett is an altruist then Oliver is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1061, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 7]], [\"->\", [\"lying\", 8], [\"lying\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 3]... | {"split": "train", "index": 9951} |
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, Charlotte, Daniel, Oliver, David, Benjamin, Amelia, Luke, and Riley. In Isabella's words: \"Amelia is a sinner\". Charlotte commented, \"(R... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1062, \"statements\": [[\"lying\", 6], [\"or\", [\"or\", [\"lying\", 8], [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"lying\", 2], [\"->\", [\"lying\", 3], [\"lying\", 8]]], [\"lying\", 4], [\"not\", [\"<=>\", [\"lying\... | {"split": "train", "index": 9952} |
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, Evelyn, Jack, Grace, Emma, Logan, Charlotte, Jacob, and Scarlett. \"(Jack is a saint) and (Evelyn is a saint) and (Riley is a saint if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1063, \"statements\": [[\"and\", [\"not\", [\"lying\", 2]], [\"not\", [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 8]]], [\"not\", [\"telling-truth\", 6]], [\"not\", [\"or\", [\"lying\", 0], [\"lying\... | {"split": "train", "index": 9953} |
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: Aurora, Ella, Lucas, Grace, William, Harper, Luke, Jackson, and Lily. In Aurora's words: \"(Luke is a villain and Grace is a hero) and (William is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1064, \"statements\": [[\"and\", [\"and\", [\"lying\", 6], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"telling-truth\", 8], [\"->\", [\"<=>\", [\"lying\", 5... | {"split": "train", "index": 9954} |
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: Noah, Joseph, Ethan, Isabella, Owen, Lily, Daniel, Aria, and Sophia. Noah said, \"(if Lily is a devil then Lily is an angel) or (Aria is a devil).\" Jo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1065, \"statements\": [[\"or\", [\"->\", [\"lying\", 5], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 7]]], [\"->\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 4]], [\"->\", [\"lying\", 5], [\"telling-truth\", 7]]... | {"split": "train", "index": 9955} |
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: Mia, Lily, Evelyn, Luke, Chloe, Emma, Michael, Alexander, and Emily. \"(Alexander is a saint or Evelyn is a saint or Michael is a saint) and Michael ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1066, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"telling-truth\", 6], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"... | {"split": "train", "index": 9956} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Mia, Avery, Michael, William, Oliver, Amelia, Emma, Mason, and Joseph. Mia was heard saying, \"(Emma is a fool if and only if Oliver is a sage) and (Joseph... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1067, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"and\", [\"lying\", 2], [\"t... | {"split": "train", "index": 9957} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Owen, Aurora, Jackson, Scarlett, Riley, Lily, David, Oliver, and Sophia. \"if Riley is a villain then (Jackson is a hero or Sophia is a hero),\" Owen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1068, \"statements\": [[\"->\", [\"lying\", 4], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 8]]], [\"and\", [\"not\", [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"telling-truth\", 4]... | {"split": "train", "index": 9958} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Liam, Charlotte, Victoria, Daniel, Emily, Riley, Logan, Jacob, and Aurora. In a statement by Liam: \"(Emily is a knight and Charlotte is a knight and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1069, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 6]], [\"not\", [\"lying\", 7]]], [\"not\", [\"lying\", 6]], [\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"telling-... | {"split": "train", "index": 9959} |
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: Liam, Elizabeth, David, Avery, William, Victoria, Isabella, Grace, and Zoey. \"(William is a laggard) and (Liam is a laggard) and Zoey is a pio... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1070, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 2], [\"or\", [\"lying\", 6], [\"telling-truth\", 5]]], [\"<=>\", [\"... | {"split": "train", "index": 9960} |
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, Liam, Matthew, Abigail, Michael, Charlotte, Luke, Victoria, and Mason. In a statement by Jackson: \"if (Charlotte is an egoist) then (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1071, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 5], [\"lying\", 3]]], [\"not\", [\"and\", [\"lying\", 6], [\"telling-truth\", 8], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"... | {"split": "train", "index": 9961} |
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: Jackson, Jack, Emily, Grace, Penelope, Isabella, Charlotte, Luke, and Ethan. Jackson stated, \"Ethan is a sage\". Jack commented, \"Luke is a sage\". Emily... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1072, \"statements\": [[\"telling-truth\", 8], [\"telling-truth\", 7], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 8]], [\"and\", [\"telling-truth\", 4], [\"lying\", 0]], [\"telling-truth\", 1]], [\"not\", [\"and\",... | {"split": "train", "index": 9962} |
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: Sophia, Mia, Joseph, Luke, Riley, Amelia, Ava, Noah, and Logan. \"it is not the case that (Logan is a hero or Riley is a villain or Mia is a hero)\" ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1073, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 8], [\"lying\", 4], [\"telling-truth\", 1]]], [\"lying\", 4], [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 8]], [\"telling-truth\", 3], [\"or\", [\"lying\... | {"split": "train", "index": 9963} |
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, Chloe, Lucas, Jack, Avery, Evelyn, Scarlett, Joseph, and Aiden. \"Jack is a fool\" - Elizabeth. Chloe commented, \"(Avery is a fool and Jack is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1074, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 5]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-... | {"split": "train", "index": 9964} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Isabella, Mason, Oliver, Liam, Sophia, Aurora, Aiden, Penelope, and Aria. Isabella told you that Aria is a knight. Mason told you that Liam is a knig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1075, \"statements\": [[\"telling-truth\", 8], [\"telling-truth\", 3], [\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 6]], [\"->\", [\"telling-truth\", 0], [\"lying\", 4]], [\"->\", [\"telling-tr... | {"split": "train", "index": 9965} |
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: Scarlett, Charlotte, Alexander, William, Sofia, Amelia, Joseph, Isabella, and Penelope. Scarlett said that (Isabella is a fool and Scarlett is a sage and I... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1076, \"statements\": [[\"and\", [\"and\", [\"lying\", 7], [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"not\", [\"lying\", 7]]], [\"and\", [\"->\", [\"telling-truth\", 6], [\"lying\", 8]], [\"not\", [\"lying\", 5]], [\"... | {"split": "train", "index": 9966} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Harper, Lucas, Matthew, William, Sofia, Mia, Penelope, Victoria, and Sebastian. Harper said that it is not the case that (Sofia is a fool if and only if Mi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1077, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 5]]], [\"lying\", 8], [\"lying\", 3], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 4], [\"telling-tru... | {"split": "train", "index": 9967} |
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, Riley, Lucas, Zoey, Sebastian, Scarlett, Logan, Aiden, and Grace. \"(Sebastian is a knave if and only if Luke is a knight) or (Riley is a knave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1078, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 1], [\"lying\", 6]], [\"or\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"->\", [\"and\", [\"lying\", 7], [\"lying\", 8]... | {"split": "train", "index": 9968} |
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, Grace, Aiden, Oliver, Jack, Michael, Benjamin, Sofia, and Chloe. Abigail commented, \"Chloe is a pioneer\". \"(if Jack is a laggard th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1079, \"statements\": [[\"telling-truth\", 8], [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 6]], [\"lying\", 5]], [\"and\", [\"telling-truth\", 8], [\"and\", [\"lying\", 7], [\"telling-truth\", 2]]], [\"not\", [\"or\... | {"split": "train", "index": 9969} |
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: Ella, Amelia, Scarlett, Jack, Victoria, Elizabeth, Zoey, Aria, and Charlotte. According to Ella, \"(Scarlett is a saint or Amelia is a saint or Aria ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1080, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"lying\", 3]]], [... | {"split": "train", "index": 9970} |
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: Sophia, Avery, Sofia, Lucas, Mason, Jackson, Joseph, Amelia, and David. Sophia stated, \"if (Mason is an altruist) then (Lucas is an egoist or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1081, \"statements\": [[\"->\", [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 7]]], [\"telling-truth\", 5], [\"or\", [\"and\", [\"lying\", 5], [\"lying\", 8], [\"telling-truth\", 7]], ... | {"split": "train", "index": 9971} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Chloe, Charlotte, Victoria, Isabella, James, Ava, Mia, Samuel, and Emily. In a statement by Chloe: \"(Charlotte is a fool if and only if Samuel is a sage) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1082, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 7]]], [\"and\", [\"and\", [\"telling-truth\", 6], [\"lying\", 6], [\"telling-truth\", 4]... | {"split": "train", "index": 9972} |
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, Benjamin, James, Aurora, Samuel, Olivia, Mason, Sophia, and Aiden. Avery said, \"it is not the case that (Sophia is an altruist if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1083, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 2]]], [\"<=>\", [\"and\", [\"lying\", 0], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"lying... | {"split": "train", "index": 9973} |
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, Avery, Abigail, Ella, Ava, Chloe, Oliver, Matthew, and Elizabeth. Jack was heard saying, \"if (Abigail is a devil and Ava is an angel) then Chloe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1084, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4]], [\"telling-truth\", 5]], [\"->\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 2]], [\"or\", [\"lying\", 6], [\"telling-truth\", 0], [\"tellin... | {"split": "train", "index": 9974} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Lily, Aurora, Owen, Joseph, Abigail, Charlotte, Emma, Luke, and Jack. As Lily put it, \"(if Charlotte is a sage then Luke is a sage) or (Luke is a fool if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1085, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 6]]], [\"telling-truth\", 0], [\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 8]],... | {"split": "train", "index": 9975} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Logan, Victoria, Mia, Elizabeth, Sofia, Aurora, Oliver, Amelia, and Jacob. \"if (if Victoria is a knight then Elizabeth is a knight) then (Aurora is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1086, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 5], [\"lying\", 7]]], [\"lying\", 2], [\"not\", [\"not\", [\"lying\", 7]]], [\"<=>\", [\"and\", [\"telling-truth\"... | {"split": "train", "index": 9976} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Evelyn, Benjamin, Isabella, Mia, Ella, Matthew, Olivia, Liam, and Noah. \"Mia is a saint,\" Evelyn declared. In a statement by Benjamin: \"(Olivia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1087, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 0]], [\"or\", [\"lying\", 2], [\"lying\", 7], [\"telling-truth\", 6]]], [\"and\", [\"->\", [\"telling-truth\", 8], [\"lying... | {"split": "train", "index": 9977} |
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: Aria, James, Luke, Michael, David, Victoria, Sofia, Lucas, and Harper. \"(if James is a saint then Sofia is a saint) if and only if (Michael is a sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1088, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 5]]], [\"and\", [\"... | {"split": "train", "index": 9978} |
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: Elizabeth, Abigail, Owen, Grace, Samuel, Liam, Aiden, Jacob, and Victoria. Elizabeth commented, \"Victoria is a sinner\". \"(Victoria is a sinner or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1089, \"statements\": [[\"lying\", 8], [\"and\", [\"or\", [\"lying\", 8], [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 2], [\"lying\", 2]], [\"lying\", 2]], [\"<=>\", [... | {"split": "train", "index": 9979} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Mia, Ethan, Aria, Harper, William, Abigail, Riley, Daniel, and Evelyn. Mia told you that William is a sage if and only if (if Evelyn is a fool then Daniel ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1090, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"->\", [\"lying\", 8], [\"lying\", 7]]], [\"or\", [\"lying\", 6], [\"not\", [\"lying\", 0]]], [\"not\", [\"<=>\", [\"lying\", 5], [\"lying\", 3]]], [\"<=>\", [\"->\", ... | {"split": "train", "index": 9980} |
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: Henry, Riley, Avery, Oliver, Michael, Mia, Emily, Elizabeth, and Lucas. Henry noted, \"it is not the case that (Lucas is a saint)\". Riley asserted: ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1091, \"statements\": [[\"not\", [\"not\", [\"lying\", 8]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"not\", [\"not\", [\"lying\", 7]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 5]], [\"<=>\... | {"split": "train", "index": 9981} |
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, Olivia, James, Jack, Alexander, Luke, Joseph, Zoey, and Avery. \"if Zoey is an egoist then (if Luke is an altruist then Olivia is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1092, \"statements\": [[\"->\", [\"lying\", 7], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 5]], [\"and\", [\"telling-truth\", 3], [\"lying\", 8]], [\"->\",... | {"split": "train", "index": 9982} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Sebastian, Ella, Luke, Oliver, Penelope, Abigail, Victoria, Sofia, and Sophia. \"(Sophia is a knight or Ella is a knave or Sophia is a knave) if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1093, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 8], [\"lying\", 1], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 0]]], [\"telling-truth\", 0], [\"or\", [\"and\", [\"telling-truth\", 2], ... | {"split": "train", "index": 9983} |
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, Avery, Sophia, Luke, Chloe, Benjamin, Mason, Aurora, and Jack. Matthew told you that Chloe is a sage. Avery remarked, \"(Aurora is a fool if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1094, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"<=>\", [\"lying\", 7], [\"lying\", 5]], [\"not\", [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"lying\", 6]], [\"or\", [\"lying\", 3], [\"telling-truth\", 6]]], [\"... | {"split": "train", "index": 9984} |
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, Penelope, Logan, Emma, Lucas, Lily, Mason, Alexander, and Ella. In Oliver's words: \"Ella is a hero if and only if Logan is a villain\". In a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1095, \"statements\": [[\"<=>\", [\"telling-truth\", 8], [\"lying\", 2]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"telling-truth\", 4], [... | {"split": "train", "index": 9985} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Evelyn, Chloe, Daniel, Alexander, Sebastian, Charlotte, Avery, Victoria, and Aiden. Evelyn commented, \"it is not the case that (Victoria is a sinner... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1096, \"statements\": [[\"not\", [\"and\", [\"lying\", 7], [\"lying\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 7]]], [\"telling-truth\", 1], [\"->\", [\"or\", [\"lying\", 0], [\"lying\", 7]], [\"telling-t... | {"split": "train", "index": 9986} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Jacob, Henry, Oliver, Joseph, Riley, Grace, Jack, Evelyn, and Liam. In Jacob's words: \"it is not the case that (Joseph is an egoist if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1097, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 7]]], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 7]], [\"and\", [\"lying\", 7], [\"lying... | {"split": "train", "index": 9987} |
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: Sophia, Alexander, Sebastian, Lucas, Matthew, James, Luke, Emily, and Elizabeth. Sophia remarked, \"(Emily is a saint or Alexander is a saint or Matt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1098, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 6]], [\"or\", [\"lying\", 5], [\"->\", [\"telling-truth\"... | {"split": "train", "index": 9988} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Lily, Matthew, Samuel, Liam, James, Ava, Amelia, Owen, and Aria. \"it is not the case that (James is a fool and James is a sage and Owen is a sage),\" Lily... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1099, \"statements\": [[\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 7]]], [\"and\", [\"lying\", 4], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 8], [\"lyi... | {"split": "train", "index": 9989} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Owen, Alexander, Lily, Victoria, Mason, Logan, Aurora, Noah, and Matthew. In a statement by Owen: \"it is not the case that (Matthew is an angel or Lil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1100, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 2], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 5], [\"lying\", 5]], [\"and\", [\"telling-truth\", 4], [\"lying\", 5]]], [\"and... | {"split": "train", "index": 9990} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: David, Matthew, James, William, Abigail, Aiden, Chloe, Charlotte, and Ella. David expressed that (if Abigail is a sinner then Charlotte is a saint) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1101, \"statements\": [[\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 8], [\"lying\", 1], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 8], [\"telling-t... | {"split": "train", "index": 9991} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Jackson, Luke, James, Lily, Zoey, Avery, Alexander, Isabella, and William. Jackson noted, \"Alexander is a villain\". In a statement by Luke: \"(if J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1102, \"statements\": [[\"lying\", 6], [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 0]]], [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"telling-... | {"split": "train", "index": 9992} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Charlotte, Elizabeth, Sofia, Benjamin, Owen, Harper, Logan, Jack, and Ava. According to Charlotte, \"(Harper is a sinner if and only if Logan is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1103, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 2], [\"lying\", 1], [\"lying\", 6]], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 5]], [\"and\", [\"and... | {"split": "train", "index": 9993} |
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: Aurora, Grace, Benjamin, Henry, Samuel, Ella, Jackson, Victoria, and Jacob. Aurora commented, \"(if Benjamin is a sage then Jackson is a fool) or (if Samue... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1104, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 6]], [\"->\", [\"lying\", 4], [\"telling-truth\", 5]]], [\"->\", [\"and\", [\"lying\", 8], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"<=>\",... | {"split": "train", "index": 9994} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Owen, Alexander, Elizabeth, Ethan, Jackson, Sofia, Henry, Michael, and Ella. Owen commented, \"it is not the case that (if Jackson is a sinner then A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1105, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"lying\", 1]]], [\"->\", [\"->\", [\"lying\", 8], [\"telling-truth\", 6]], [\"or\", [\"lying\", 6], [\"lying\", 5]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"l... | {"split": "train", "index": 9995} |
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: Samuel, Sophia, Jackson, Lucas, Riley, Amelia, Emma, Avery, and Ella. According to Samuel, \"it is not the case that (Emma is a pioneer)\". In ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1106, \"statements\": [[\"not\", [\"not\", [\"lying\", 6]]], [\"and\", [\"or\", [\"telling-truth\", 6], [\"lying\", 7]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 2], [\"telling-tr... | {"split": "train", "index": 9996} |
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: Ethan, Jackson, Henry, Emily, Scarlett, Daniel, Liam, Evelyn, and Olivia. \"Jackson is a sage if and only if (Ethan is a sage or Scarlett is a sage),\" Eth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1107, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"lying\", 2], [\"lying\", 5]]]... | {"split": "train", "index": 9997} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: James, Benjamin, Liam, Penelope, Amelia, Zoey, Avery, Scarlett, and Joseph. As James put it, \"if (Amelia is a sinner) then (Avery is a saint and Zoe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1108, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 6], [\"lying\", 5]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 6]], [\"->\", [\"telling-truth\", 6], [\"lying\", 4]... | {"split": "train", "index": 9998} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Luke, Zoey, Amelia, Joseph, Ava, Avery, Ella, James, and Logan. According to Luke, \"(Logan is a sage if and only if Ella is a fool) or Ava is a sage\". Zo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1109, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 6]], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 6], [\"lying\", 7], ... | {"split": "train", "index": 9999} |
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