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: Harper, Elizabeth, Sophia, Mia, Luke, Grace, Jack, Oliver, and Jackson. In a statement by Harper: \"(Jackson is an egoist if and only if Oliver... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 722, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 8], [\"lying\", 7]], [\"lying\", 1]], [\"and\", [\"and\", [\"or\", [\"lying\", 7], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 1], [\"lying\", 8]]], [\"telling-t... | {"split": "train", "index": 18500} |
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, Harper, Owen, Victoria, Avery, Mason, Ethan, Chloe, and Jacob. According to Samuel, \"it is not the case that (if (Avery is a laggard) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 723, \"statements\": [[\"not\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 8], [\"lying\", 4], [\"telling-truth\", 1], [\"lying\", 8]]]], [\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"ly... | {"split": "train", "index": 18501} |
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: Avery, Victoria, Ella, Aiden, Jackson, Luke, Joseph, David, and Ethan. Avery stated, \"Ella is a hero\". Victoria asserted: \"(if (David is a hero an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 724, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"->\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"and\", [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 5]]], [\"not\", [\"and\", [\"lyi... | {"split": "train", "index": 18502} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Evelyn, Luke, Jack, Scarlett, Mason, Zoey, William, Joseph, and Chloe. Evelyn remarked, \"if (Scarlett is an angel or (Chloe is a devil or Mason is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 725, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 3], [\"or\", [\"lying\", 8], [\"telling-truth\", 4]], [\"not\", [\"lying\", 5]]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 5], [\"telling-truth\", 5]],... | {"split": "train", "index": 18503} |
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, Scarlett, David, Penelope, Grace, Daniel, Lucas, Ethan, and Noah. As Riley put it, \"Riley is a saint if and only if (it is not the case that ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 726, \"statements\": [[\"<=>\", [\"telling-truth\", 0], [\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 5]]]], [\"and\", [\"or\", [\"<=>\", [\"lying\", 7], [\"lying\", 5]], [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telli... | {"split": "train", "index": 18504} |
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, Scarlett, Harper, Matthew, Olivia, Victoria, Zoey, Sophia, and Jackson. According to Grace, \"((Matthew is a knight or Scarlett is a knight or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 727, \"statements\": [[\"and\", [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 7], [\"lying\", 6]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"telling-truth\... | {"split": "train", "index": 18505} |
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, Aria, Owen, Alexander, Joseph, Olivia, Daniel, David, and Michael. Emily noted, \"Owen is a saint and (it is not the case that (if Aria is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 728, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]]], [\"not\", [\"not\", [\"telling-truth\", 8]]], [\"not\", [\"or\", [\"and\", [\"lying\", 4], [\"tellin... | {"split": "train", "index": 18506} |
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: Isabella, Mason, Scarlett, Evelyn, Charlotte, Abigail, Aiden, Jackson, and William. Isabella was heard saying, \"it is not the case that (if (Jackson i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 729, \"statements\": [[\"not\", [\"->\", [\"not\", [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 1], [\"lying\", 7]]]], [\"and\", [\"->\", [\"->\", [\"lying\", 0], [\"lying\", 2]], [\"and\", [\"lying\", 7], [\"lying\", 2], [\... | {"split": "train", "index": 18507} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Charlotte, Emma, Avery, Scarlett, Penelope, Sebastian, Grace, Noah, and Benjamin. Charlotte remarked, \"if ((Charlotte is a hero if and only if Avery... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 730, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 7]]], [\"telling-truth\", 4]], [\"and\", [\"->\", [\"not\", [\"telling-truth\", 1]], [\"not\", [... | {"split": "train", "index": 18508} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Aria, Jack, Samuel, Lucas, Michael, Ethan, Lily, Ava, and Owen. In a statement by Aria: \"it is not the case that (it is not the case that (Ava is a de... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 731, \"statements\": [[\"not\", [\"not\", [\"not\", [\"telling-truth\", 7]]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 8], [\"and\", [\"lying\", 0], [\"lying\", 5], ... | {"split": "train", "index": 18509} |
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: Luke, Joseph, Emma, David, Avery, Grace, Daniel, Matthew, and Zoey. As Luke put it, \"if ((Joseph is a sinner and David is a sinner and Emma is a sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 732, \"statements\": [[\"->\", [\"or\", [\"and\", [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 4], [\"telling-t... | {"split": "train", "index": 18510} |
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, Jackson, Mia, Benjamin, Grace, Emma, Emily, Riley, and Sophia. \"(if (Owen is an altruist if and only if Emily is an altruist) then (Mia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 733, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 7], [\"l... | {"split": "train", "index": 18511} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Harper, David, Noah, Lucas, James, Jacob, Michael, Owen, and Avery. In a statement by Harper: \"if Avery is a knave then (if (Jacob is a knave if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 734, \"statements\": [[\"->\", [\"lying\", 8], [\"->\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 4]], [\"lying\", 6]]], [\"and\", [\"or\", [\"or\", [\"lying\", 5], [\"telling-truth\", 3]], [\"telling-truth\", 0], [\"->\",... | {"split": "train", "index": 18512} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Ella, Emily, Zoey, Charlotte, Oliver, Lily, David, Grace, and Sebastian. Ella asserted: \"(if (Charlotte is a devil or Sebastian is an angel or Oliver ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 735, \"statements\": [[\"or\", [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 8], [\"telling-truth\", 4], [\"lying\", 6]], [\"telling-truth\", 2]], [\"<=>\", [\"not\", [\"lying\", 8]], [\"<=>\", [\"lying\", 7], [\"lying... | {"split": "train", "index": 18513} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Avery, Noah, Sophia, Aiden, Zoey, Michael, Jackson, Lily, and Emily. In Avery's words: \"Sophia is a laggard and (if (Emily is a laggard and Mi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 736, \"statements\": [[\"and\", [\"lying\", 2], [\"->\", [\"and\", [\"lying\", 8], [\"lying\", 5], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 2], [\"lying\", 1]]]], [\"or\", [\"not\", [\"telling-truth\", 6]], [\"not... | {"split": "train", "index": 18514} |
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, Emma, Sophia, Charlotte, Grace, Avery, Emily, Jackson, and Ava. Amelia was heard saying, \"((Avery is an altruist) and (if Grace is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 737, \"statements\": [[\"and\", [\"and\", [\"not\", [\"lying\", 5]], [\"->\", [\"telling-truth\", 4], [\"lying\", 7]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 5]... | {"split": "train", "index": 18515} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Aria, Harper, Evelyn, Ethan, Michael, Avery, Ella, William, and Owen. Aria asserted: \"Harper is an angel\". Harper asserted: \"Ella is an angel\". Eve... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 738, \"statements\": [[\"telling-truth\", 1], [\"telling-truth\", 6], [\"->\", [\"not\", [\"not\", [\"lying\", 8]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 6]], [\"not\", [\"telling-truth\", 4]]]], [\"<=>\", [... | {"split": "train", "index": 18516} |
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: Sebastian, Sophia, Jack, Mia, Ava, David, Grace, Oliver, and Emma. Sebastian remarked, \"if ((if David is a fool then Jack is a sage) and (Jack is a sage i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 739, \"statements\": [[\"->\", [\"and\", [\"->\", [\"lying\", 5], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"->\", [\"lying\", 2], [\"lying\", 7]], [\"or\", [\"lying\", 4], [\"tellin... | {"split": "train", "index": 18517} |
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, Abigail, Sofia, Matthew, Ava, William, Harper, Luke, and Samuel. In Logan's words: \"it is not the case that (it is not the case that (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 740, \"statements\": [[\"not\", [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 8]]]], [\"not\", [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]]], [\"or\", [\"or\", [\"<=>\", [\"lying\", 6], [\"lying\", 3]]... | {"split": "train", "index": 18518} |
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, Sebastian, Lily, Zoey, Emily, Sofia, Daniel, Charlotte, and Alexander. \"Alexander is a saint if and only if ((Sebastian is a saint and Sofia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 741, \"statements\": [[\"<=>\", [\"telling-truth\", 8], [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 5]], [\"not\", [\"lying\", 2]], [\"not\", [\"lying\", 8]], [\"or\", [\"lying\", 2], [\"lying\", 6]]]], [\"<... | {"split": "train", "index": 18519} |
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, Isabella, Alexander, Zoey, Scarlett, Penelope, Oliver, Emily, and Grace. According to Mia, \"(Zoey is a sinner) or (it is not the case that (Ale... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 742, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 6]]], [\"and\", [\"telling-truth\", 2], [\"or\", [\"lying\", 8], [\"telling-truth\", 0]]], [\"->... | {"split": "train", "index": 18520} |
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: Abigail, Ethan, Aurora, Oliver, James, Elizabeth, Michael, Emily, and Noah. \"Aurora is an altruist or (it is not the case that (Elizabeth is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 743, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"not\", [\"or\", [\"lying\", 5], [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\", 6]]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 8]]], ... | {"split": "train", "index": 18521} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Ella, William, Matthew, Henry, Isabella, Liam, Sofia, Evelyn, and Emily. Ella remarked, \"Emily is an angel\". \"Liam is an angel\" - William. Matthew ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 744, \"statements\": [[\"telling-truth\", 8], [\"telling-truth\", 5], [\"->\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 8], [\"lying\", 0], [\"telling-truth\", 6], [\"telling-truth\", 7]], [\"... | {"split": "train", "index": 18522} |
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, Matthew, Luke, Jackson, Aurora, Chloe, Evelyn, Samuel, and Sofia. Amelia commented, \"((Amelia is a sage and Evelyn is a sage and Jackson is a fool... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 745, \"statements\": [[\"or\", [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 6], [\"lying\", 3], [\"telling-truth\", 1]], [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 6], [\"lying\", 7]]], [\"<=>\", [\"not... | {"split": "train", "index": 18523} |
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, Aurora, Harper, Mia, Luke, Daniel, Isabella, Joseph, and Scarlett. In a statement by Benjamin: \"it is not the case that (Mia is a villain ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 746, \"statements\": [[\"not\", [\"or\", [\"lying\", 3], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 7]]]], [\"->\", [\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 0]], [\"or\", [\"telling-truth\", 4], [\"tel... | {"split": "train", "index": 18524} |
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: Olivia, Noah, Chloe, Alexander, Liam, Victoria, Riley, Joseph, and David. In a statement by Olivia: \"it is not the case that (Liam is a sinner and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 747, \"statements\": [[\"not\", [\"and\", [\"lying\", 4], [\"and\", [\"telling-truth\", 6], [\"lying\", 5], [\"telling-truth\", 7], [\"telling-truth\", 0]], [\"and\", [\"lying\", 1], [\"lying\", 5]], [\"and\", [\"lying\", 1], ... | {"split": "train", "index": 18525} |
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, Lucas, Penelope, Samuel, William, Mia, David, Daniel, and Olivia. As Victoria put it, \"Penelope is an egoist\". In a statement by Lu... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 748, \"statements\": [[\"lying\", 2], [\"lying\", 5], [\"<=>\", [\"not\", [\"and\", [\"lying\", 7], [\"lying\", 6], [\"telling-truth\", 3], [\"lying\", 3]]], [\"<=>\", [\"not\", [\"lying\", 7]], [\"or\", [\"telling-truth\", 3]... | {"split": "train", "index": 18526} |
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, Alexander, Chloe, Jack, Sebastian, Aurora, Benjamin, Aiden, and Emily. David asserted: \"((Benjamin is a knave or Aurora is a knave or Benjami... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 749, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"lying\", 6], [\"lying\", 5], [\"telling-truth\", 6], [\"lying\", 4]], [\"<=>\", [\"lying\", 5], [\"lying\", 6]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 5], [\... | {"split": "train", "index": 18527} |
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: James, Daniel, Owen, Benjamin, Matthew, Harper, Ella, Jacob, and Alexander. James told you that it is not the case that ((Daniel is a pioneer a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 750, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 6], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 3]]]], [\"telling-truth\", 3], [\"and\", [\"<=>... | {"split": "train", "index": 18528} |
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: Avery, William, Harper, Sophia, Logan, Abigail, Sebastian, Owen, and Noah. \"Owen is an angel if and only if (if (if Owen is a devil then Logan is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 751, \"statements\": [[\"<=>\", [\"telling-truth\", 7], [\"->\", [\"->\", [\"lying\", 7], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 0]]]], [\"<=>\", [\"->\", [\"not\", [\"lying\", 7]], [\"and\", [\"telling-truth\"... | {"split": "train", "index": 18529} |
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, Mason, Avery, Jack, Emily, Noah, Henry, Daniel, and Chloe. Grace noted, \"if ((Noah is a saint) or (Emily is a saint if and only if Daniel is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 752, \"statements\": [[\"->\", [\"or\", [\"not\", [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 7]], [\"->\", [\"telling-truth\", 5], [\"lying\", 5]], [\"not\", [\"lying\", 8]]], [\"not\", [\"telling-truth\", ... | {"split": "train", "index": 18530} |
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, Benjamin, Charlotte, Evelyn, Olivia, Sofia, Elizabeth, Jackson, and Aiden. Mia noted, \"if Aiden is a hero then ((Sofia is a hero or Benjamin is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 753, \"statements\": [[\"->\", [\"telling-truth\", 8], [\"and\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"telling-truth\", 7], [\"->\", [\"telling-truth\", 3], [\"lying\", 5]], [\"and\", [\"lying\", 2], [\"... | {"split": "train", "index": 18531} |
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: Ethan, Joseph, William, David, Scarlett, Mason, Liam, Matthew, and Charlotte. Ethan noted, \"(if (Scarlett is a saint) then Ethan is a saint) if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 754, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 0]], [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 1]], [\"not\", [\"l... | {"split": "train", "index": 18532} |
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: Luke, Zoey, Evelyn, Michael, Sophia, William, David, Riley, and Emma. Luke told you that Zoey is a villain or (Emma is a hero if and only if (if Zoey... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 755, \"statements\": [[\"or\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 8], [\"->\", [\"lying\", 1], [\"lying\", 3]]]], [\"lying\", 3], [\"not\", [\"not\", [\"lying\", 1]]], [\"telling-truth\", 6], [\"lying\", 1], [\"<=>\... | {"split": "train", "index": 18533} |
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: Amelia, Jack, Matthew, Emma, Michael, Ella, Luke, Owen, and Zoey. In Amelia's words: \"((if Amelia is a saint then Michael is a saint) if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 756, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 3], [\"lying\", 5]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 4]]], [\"no... | {"split": "train", "index": 18534} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Scarlett, Jack, Henry, Elizabeth, Chloe, Aria, William, Penelope, and Ava. Scarlett was heard saying, \"if (if (Chloe is a devil) then (Chloe is a devi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 757, \"statements\": [[\"->\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 8], [\"telling-trut... | {"split": "train", "index": 18535} |
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, Avery, Zoey, Scarlett, Elizabeth, Matthew, Jacob, Sophia, and Benjamin. Jack stated, \"(if (if Scarlett is a fool then Sophia is a sage) then (if Ave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 758, \"statements\": [[\"or\", [\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 7]], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"lying\", 6], [\"lying\", 5]], [\"telling-truth\", 7]], [\"<=>\"... | {"split": "train", "index": 18536} |
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: Jacob, Sophia, David, Lily, Zoey, Jack, Evelyn, Riley, and Liam. \"if (it is not the case that (if David is a laggard then Jack is a laggard)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 759, \"statements\": [[\"->\", [\"not\", [\"->\", [\"lying\", 2], [\"lying\", 5]]], [\"<=>\", [\"not\", [\"telling-truth\", 6]], [\"lying\", 5]]], [\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 6]], [\"<=>\",... | {"split": "train", "index": 18537} |
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, Jack, William, Joseph, Sebastian, Charlotte, Logan, Harper, and Alexander. \"if ((Logan is a hero) if and only if (if Harper is a villain ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 760, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"lying\", 6]], [\"->\", [\"lying\", 7], [\"lying\", 4]]], [\"or\", [\"telling-truth\", 5], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], [\"not\", [\"lying\", 2]], [\"-... | {"split": "train", "index": 18538} |
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: Alexander, Matthew, Henry, Ella, David, Amelia, Mia, Luke, and Ethan. According to Alexander, \"it is not the case that ((Henry is a hero or Matthew ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 761, \"statements\": [[\"not\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 8], [\"telling-truth\", 6]], [\"or\", [\"lying\", 1], [\"lying\", 3], [\"lying\", 4]]]], [\"and\", [\"lying\", 5], [... | {"split": "train", "index": 18539} |
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, Noah, Emily, Harper, Sofia, Alexander, Luke, and Sebastian. Samuel commented, \"it is not the case that (it is not the case that (Sofia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 762, \"statements\": [[\"not\", [\"not\", [\"and\", [\"lying\", 5], [\"telling-truth\", 4], [\"telling-truth\", 6], [\"telling-truth\", 2]]]], [\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"->\", [\... | {"split": "train", "index": 18540} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Sofia, Zoey, Liam, Sebastian, Michael, Samuel, Mia, Isabella, and Scarlett. Sofia expressed that Liam is a pioneer. Zoey said, \"Liam is a pion... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 763, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"lying\", 2]], [\"or\", [\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 7], [\"lying\", 0], [\"lying\", 3]], [\"telling-truth\", 7], [\"lying\", 6], [\"<=>\", [\... | {"split": "train", "index": 18541} |
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, Henry, Alexander, Michael, Lucas, Owen, Jackson, Ethan, and Matthew. As William put it, \"(if (Jackson is an angel if and only if Lucas is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 764, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 2], [\"lying\", 6]]], [\"and\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 0], [\"tell... | {"split": "train", "index": 18542} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Mia, Samuel, Jacob, David, Michael, Owen, Elizabeth, Noah, and Ava. Mia said that Samuel is an angel. Samuel told you that it is not the case that (Mia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 765, \"statements\": [[\"not\", [\"lying\", 1]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 0], [\"lying\", 7]], [\"and\", [\"telling-truth\", 6], [\"lying\", 6]]]], [\"and... | {"split": "train", "index": 18543} |
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, Lily, Michael, Aria, Henry, James, Emily, Evelyn, and Benjamin. Alexander expressed that if (if (Evelyn is a saint or Emily is a sinner) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 766, \"statements\": [[\"->\", [\"->\", [\"or\", [\"telling-truth\", 7], [\"lying\", 6]], [\"->\", [\"telling-truth\", 7], [\"lying\", 8]]], [\"<=>\", [\"not\", [\"lying\", 5]], [\"not\", [\"lying\", 4]]]], [\"not\", [\"or\", ... | {"split": "train", "index": 18544} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Aria, Abigail, Ella, Daniel, Jackson, Chloe, Sophia, Lily, and Zoey. \"Ella is an angel,\" Aria declared. Abigail asserted: \"((if Chloe is an angel th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 767, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"or\", [\"->\", [\"telling-truth\", 5], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"telling-truth\", 4], [\"not\", [\"->\", [\"telli... | {"split": "train", "index": 18545} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Scarlett, Harper, Amelia, Isabella, Ava, Sofia, Emma, Benjamin, and David. \"((Ava is a hero if and only if David is a villain) and Harper is a villa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 768, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 8]], [\"lying\", 1]], [\"or\", [\"lying\", 3], [\"lying\", 8]], [\"or\", [\"or\", [\"telling-truth\", 8], [\"lying\", 5], [\"telling-truth... | {"split": "train", "index": 18546} |
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: Lucas, Olivia, Victoria, Henry, Jack, Jackson, Amelia, Zoey, and Ava. Lucas was heard saying, \"Ava is a sinner\". Olivia remarked, \"Jackson is a si... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 769, \"statements\": [[\"lying\", 8], [\"<=>\", [\"lying\", 5], [\"->\", [\"->\", [\"lying\", 6], [\"telling-truth\", 8]], [\"->\", [\"lying\", 6], [\"lying\", 2]]]], [\"or\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"tell... | {"split": "train", "index": 18547} |
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, Daniel, Grace, Isabella, Aria, Penelope, Liam, Benjamin, and Harper. According to Jack, \"((Benjamin is a villain and Daniel is a villain) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 770, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"lying\", 7], [\"lying\", 1]], [\"and\", [\"lying\", 6], [\"telling-truth\", 3], [\"telling-truth\", 8]]], [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 8], [\"ly... | {"split": "train", "index": 18548} |
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: Ethan, Lily, Amelia, Mason, Sophia, Riley, Liam, Ava, and Emma. Ethan expressed that (if (Riley is a saint or Mason is a sinner) then (Mason is a sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 771, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 5], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2]], [\"or\", [\"telling-trut... | {"split": "train", "index": 18549} |
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: Alexander, Benjamin, Amelia, Daniel, Emma, Evelyn, Logan, Jackson, and Grace. \"Benjamin is a hero,\" Alexander declared. Benjamin said that ((Evelyn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 772, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"telling-truth\", 6]], [\"telling-truth\", 7], [\"... | {"split": "train", "index": 18550} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Abigail, Oliver, Ethan, Lucas, Sophia, Penelope, Mia, Alexander, and Grace. Abigail remarked, \"((Oliver is a sinner) if and only if (if Grace is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 773, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 8], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"lying\", 1], [\"lying\", 8]], [\"and\", [\"telling-truth\", 8], [\"lying\", 2... | {"split": "train", "index": 18551} |
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: Sophia, Harper, Abigail, Jackson, Joseph, Ethan, Aria, Aiden, and James. According to Sophia, \"(Jackson is an angel and (Joseph is a devil and Ethan i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 774, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 3], [\"and\", [\"lying\", 4], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 1], [\"lying\", 8]]], [\"and\", [\"<=>\", [\"telling-truth\", 5], [\"telling-tru... | {"split": "train", "index": 18552} |
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, Joseph, Noah, Sofia, Aurora, Elizabeth, Zoey, Abigail, and Ava. \"((Elizabeth is a laggard) and (Joseph is a pioneer)) and ((Aurora is a p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 775, \"statements\": [[\"and\", [\"and\", [\"not\", [\"telling-truth\", 5]], [\"not\", [\"lying\", 1]]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 3]], [\"and\", [\"tell... | {"split": "train", "index": 18553} |
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, Chloe, David, Emily, Jack, Abigail, Matthew, Luke, and Victoria. \"(Jack is a laggard or (Abigail is a laggard or Victoria is a laggard ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 776, \"statements\": [[\"and\", [\"or\", [\"lying\", 4], [\"or\", [\"lying\", 5], [\"lying\", 8], [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 4]]], [\"and\", [\"telling-truth\... | {"split": "train", "index": 18554} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Lucas, Sofia, Abigail, Noah, James, Isabella, Mason, Chloe, and Charlotte. \"it is not the case that ((if Lucas is an altruist then Isabella is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 777, \"statements\": [[\"not\", [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 5]], [\"->\", [\"lying\", 4], [\"telling-truth\", 5]], [\"telling-truth\", 8], [\"and\", [\"lying\", 8], [\"telling-truth\", 7], [\"telling-... | {"split": "train", "index": 18555} |
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, Chloe, Henry, Michael, Daniel, Lucas, Ella, Jacob, and Amelia. Victoria told you that Ella is a knave if and only if (Amelia is a knight if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 778, \"statements\": [[\"<=>\", [\"lying\", 6], [\"<=>\", [\"telling-truth\", 8], [\"not\", [\"lying\", 1]]]], [\"and\", [\"or\", [\"and\", [\"lying\", 0], [\"telling-truth\", 5], [\"lying\", 4]], [\"not\", [\"telling-truth\",... | {"split": "train", "index": 18556} |
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, Daniel, Jacob, Lucas, Ella, Owen, Evelyn, Riley, and Emma. In a statement by Charlotte: \"((Lucas is an egoist and Jacob is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 779, \"statements\": [[\"and\", [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 4], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 5]], [\"telling-truth\", 6]], [\"telling-truth\"... | {"split": "train", "index": 18557} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Lily, Samuel, Penelope, Charlotte, Ethan, David, Jackson, Sebastian, and Jacob. Lily said, \"if Jackson is a saint then ((Jacob is a sinner if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 780, \"statements\": [[\"->\", [\"telling-truth\", 6], [\"or\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 4]], [\"or\", [\"lying\", 5], [\"lying\",... | {"split": "train", "index": 18558} |
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, Aurora, Alexander, Sofia, Penelope, Owen, Sophia, Aria, and Victoria. According to Luke, \"if (if (Aria is a sage if and only if Sophia is a sage) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 781, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 6]], [\"telling-truth\", 1]], [\"and\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 5], [\"telling-truth\", 3], [\"lying\"... | {"split": "train", "index": 18559} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Amelia, James, Lucas, Liam, Ethan, Alexander, Aria, Henry, and Elizabeth. Amelia noted, \"if (if Henry is an angel then (Lucas is a devil or Aria is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 782, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 7], [\"or\", [\"lying\", 2], [\"lying\", 6], [\"lying\", 7]]], [\"not\", [\"->\", [\"lying\", 6], [\"telling-truth\", 8]]]], [\"and\", [\"or\", [\"and\", [\"lying\", ... | {"split": "train", "index": 18560} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Sebastian, Victoria, Emma, Sofia, Riley, Chloe, Olivia, Joseph, and David. Sebastian remarked, \"((Olivia is a laggard or Olivia is a pioneer o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 783, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"lying\", 6], [\"telling-truth\", 6], [\"lying\", 3]], [\"or\", [\"lying\", 6], [\"lying\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling... | {"split": "train", "index": 18561} |
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, Henry, William, Abigail, Grace, Aurora, Luke, Jack, and Ethan. Joseph said that Aurora is an altruist if and only if ((Luke is an egois... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 784, \"statements\": [[\"<=>\", [\"telling-truth\", 5], [\"and\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 6]], [\"or\", [\"lying\", 2], [\"telling-truth\", 2]], [\"and\"... | {"split": "train", "index": 18562} |
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, Owen, Emily, Victoria, Ella, Sophia, Riley, Sebastian, and Isabella. Emma was heard saying, \"Owen is a saint and ((Ella is a saint or Emily is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 785, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 3]], [\"not\", [\"lying\", 8]]], [\"<=>\", [\"or\", [\"telling-truth\", 7], [\"lying\", 1], [\"telli... | {"split": "train", "index": 18563} |
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: Ethan, Avery, Sebastian, Alexander, Abigail, Charlotte, Ella, Evelyn, and Aria. Ethan remarked, \"Ella is a pioneer if and only if ((Abigail is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 786, \"statements\": [[\"<=>\", [\"telling-truth\", 6], [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 6], [\"telling-truth\",... | {"split": "train", "index": 18564} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Grace, Emma, Aiden, David, Sophia, Lucas, Isabella, Owen, and Riley. \"if ((Lucas is an angel) if and only if (Emma is an angel)) then (it is not the c... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 787, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"lying\", 5]], [\"not\", [\"lying\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 5]]]], [\"or\", [\"not\", [\"lying\", 5]], [\"not\", [\"and\", [\"telling-... | {"split": "train", "index": 18565} |
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, Aurora, James, Riley, Evelyn, Benjamin, Grace, Isabella, and Liam. Mia was heard saying, \"(if (Evelyn is a sinner) then (if Riley is a saint th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 788, \"statements\": [[\"and\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 6]]], [\"or\", [\"->\", [\"lying\", 1], [\"lying\", 6]], [\"lying\", 7], [\"not\", [\"lying\", 7]... | {"split": "train", "index": 18566} |
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, Amelia, Lily, David, Owen, Emma, Ethan, Lucas, and James. \"((if Owen is a hero then Lucas is a hero) and Emma is a hero and (Emma is a vill... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 789, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"telling-truth\", 5], [\"or\", [\"lying\", 5], [\"lying\", 7], [\"lying\", 8], [\"telling-truth\", 4]]], [\"->\", [\"and\", ... | {"split": "train", "index": 18567} |
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, Jackson, Lily, Sophia, Samuel, Penelope, Scarlett, Michael, and Isabella. Aria told you that it is not the case that (Scarlett is a lagga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 790, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 6]]], [\"or\", [\"->\", [\"->\", [\"telling-truth\", 7], [\"lying\", 5]], [\"and\", [\"lying\", 8], [\"lying\", 5], [\"telling-truth\", 2], [\"lying\", 7]]], [\"not... | {"split": "train", "index": 18568} |
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, James, Avery, Jackson, Grace, Ava, Emily, Oliver, and Elizabeth. \"(it is not the case that (Avery is a hero if and only if Emily is a hero)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 791, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 6]]], [\"->\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"not\", ... | {"split": "train", "index": 18569} |
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: Penelope, Emma, Scarlett, Alexander, Jack, Aurora, Luke, David, and Emily. Penelope noted, \"((David is a fool if and only if Aurora is a fool) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 792, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"lying\", 7], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 8]]], [\"or\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"no... | {"split": "train", "index": 18570} |
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: Isabella, Amelia, Logan, Benjamin, Aurora, Abigail, Ava, Harper, and Sofia. As Isabella put it, \"if ((if Amelia is an altruist then Aurora is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 793, \"statements\": [[\"->\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"telling-truth\", 8], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"lying\... | {"split": "train", "index": 18571} |
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, Sebastian, Victoria, William, Benjamin, Harper, Riley, Amelia, and Alexander. Avery remarked, \"((Sebastian is an egoist) and (Riley is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 794, \"statements\": [[\"or\", [\"and\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 6]], [\"lying\", 3]], [\"->\", [\"not\", [\"lying\", 7]], [\"or\", [\"lying\", 6], [\"telling-truth\", 4], [\"lying\", 7]]], [\"... | {"split": "train", "index": 18572} |
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: Harper, Jack, Lucas, Liam, Aiden, Riley, Matthew, Luke, and Grace. In a statement by Harper: \"if Lucas is a hero then (Grace is a villain and Luke i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 795, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"and\", [\"lying\", 8], [\"telling-truth\", 7], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 7]], [\"not\", [\"telling-truth\", 4]]]], [\"not\", [\"->\", [\"lying\", 8]... | {"split": "train", "index": 18573} |
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: Sophia, Isabella, Ava, Oliver, Lily, Chloe, Jackson, Avery, and Daniel. Sophia commented, \"(it is not the case that (Chloe is a laggard or Chl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 796, \"statements\": [[\"or\", [\"not\", [\"or\", [\"lying\", 5], [\"telling-truth\", 5], [\"telling-truth\", 2]]], [\"lying\", 3]], [\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"or\", [\"lyi... | {"split": "train", "index": 18574} |
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, David, Sofia, Matthew, Elizabeth, Jackson, Emma, Lily, and Lucas. Jack expressed that David is a sage and ((Lucas is a fool if and only if Elizabeth ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 797, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"and\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 4]], [\"lying\", 1]], [\"->\", [\"not\", [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 2], [\"lying\", 6],... | {"split": "train", "index": 18575} |
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: Penelope, Noah, Jacob, Daniel, Matthew, Harper, Lily, Avery, and Sofia. As Penelope put it, \"Noah is a knight and ((Sofia is a knight if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 798, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"or\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 1]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 3]]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 4]... | {"split": "train", "index": 18576} |
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, Oliver, Michael, Jack, Aiden, Ella, Liam, Samuel, and Sophia. Alexander commented, \"(it is not the case that (Ella is a saint if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 799, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"telling-truth\", 2]], [\"<=>\... | {"split": "train", "index": 18577} |
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: Aurora, Jackson, James, Daniel, Benjamin, Samuel, Victoria, Aria, and Scarlett. Aurora said, \"(it is not the case that (if Jackson is a saint then J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 800, \"statements\": [[\"or\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"and\", [\"lying\", 6], ... | {"split": "train", "index": 18578} |
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: Lily, Grace, Isabella, Jacob, Victoria, Noah, Ella, Emily, and Liam. Lily asserted: \"it is not the case that ((Ella is a pioneer if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 801, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"->\", [\"lying\", 2], [\"lying\", 4]]]], [\"and\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 8], [\"l... | {"split": "train", "index": 18579} |
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, Sebastian, James, Aurora, Jackson, Charlotte, Emma, Jacob, and Lucas. In Chloe's words: \"Jacob is a sage\". Sebastian said, \"(if Chloe is a sage t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 802, \"statements\": [[\"not\", [\"lying\", 7]], [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 6]], [\"<=>\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"lying\", 7]]], [\"te... | {"split": "train", "index": 18580} |
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, Noah, Evelyn, Alexander, Penelope, Aria, Benjamin, Joseph, and Lily. Liam told you that if ((Noah is a pioneer) if and only if (if Liam i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 803, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"lying\", 1]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"->\", [\"->\", [\"lying\", 7], [\"lying\", 8]], [\"<=>\", [\"lying\", 5], [\"lying\", 3]]]], [\"... | {"split": "train", "index": 18581} |
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, Oliver, Sofia, Noah, Charlotte, Amelia, Mason, Matthew, and Emily. \"((Noah is a sinner) or (Matthew is a saint or Amelia is a saint) or No... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 804, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 5]], [\"telling-truth\", 3], [\"or\", [\"lying\", 8], [\"telling-truth\", 1], [\"telling-truth\",... | {"split": "train", "index": 18582} |
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, James, Harper, Ella, Ava, Isabella, Aiden, Ethan, and Mia. As Liam put it, \"it is not the case that (Mia is a knight and (James is a knave and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 805, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 8], [\"and\", [\"lying\", 1], [\"telling-truth\", 6]]]], [\"->\", [\"<=>\", [\"<=>\", [\"lying\", 7], [\"lying\", 3]], [\"<=>\", [\"lying\", 7], [\"telling-truth\",... | {"split": "train", "index": 18583} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Lily, Luke, Mia, Isabella, James, Aurora, Ethan, Emily, and Benjamin. As Lily put it, \"it is not the case that (it is not the case that (Benjamin is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 806, \"statements\": [[\"not\", [\"not\", [\"and\", [\"lying\", 8], [\"telling-truth\", 2], [\"lying\", 7], [\"lying\", 1]]]], [\"not\", [\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 8], [\"telling-truth\", 2], [\"lying\", 2... | {"split": "train", "index": 18584} |
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: Samuel, Harper, Zoey, Emma, Riley, Scarlett, Logan, David, and Grace. As Samuel put it, \"((David is an altruist if and only if Grace is an alt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 807, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"not\", [\"lying\", 6]]], [\"and\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 3], [\"lying\", 5]], [\"lying\", 3]... | {"split": "train", "index": 18585} |
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: Ava, James, Emma, Henry, Aria, Ethan, Chloe, Joseph, and Emily. As Ava put it, \"Joseph is an egoist or (it is not the case that (James is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 808, \"statements\": [[\"or\", [\"lying\", 7], [\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 5], [\"lying\", 8], [\"lying\", 5]]]], [\"->\", [\"and\", [\"or\", [\"telling-truth\", 6], [\"lying\", 4], [\"lying... | {"split": "train", "index": 18586} |
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, Charlotte, Mia, David, Amelia, Joseph, Emma, Oliver, and Olivia. Victoria asserted: \"if ((Oliver is an egoist or Charlotte is an alt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 809, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"lying\", 7], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 5]]], [\"telling-truth\", 4]], [\"not\", [\"and\", [\"not\", [\"telling-truth\", 8]], [\"... | {"split": "train", "index": 18587} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Alexander, Henry, Jackson, Daniel, Liam, Michael, Harper, Oliver, and Grace. \"Grace is a fool or ((Grace is a fool if and only if Michael is a fool) or (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 810, \"statements\": [[\"or\", [\"lying\", 8], [\"or\", [\"<=>\", [\"lying\", 8], [\"lying\", 5]], [\"->\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 7]]]], [\"->\", [\"a... | {"split": "train", "index": 18588} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Olivia, Ethan, Matthew, Emily, Jack, Sebastian, Oliver, Sofia, and Chloe. According to Olivia, \"Jack is an altruist\". Ethan told you that ((E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 811, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 8], [\"lying\", 0]], [\... | {"split": "train", "index": 18589} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Henry, Samuel, Emma, Sebastian, Olivia, Zoey, Harper, David, and James. According to Henry, \"it is not the case that (it is not the case that (Zoey ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 812, \"statements\": [[\"not\", [\"not\", [\"and\", [\"telling-truth\", 5], [\"lying\", 7], [\"telling-truth\", 2]]]], [\"not\", [\"not\", [\"not\", [\"telling-truth\", 6]]]], [\"or\", [\"not\", [\"lying\", 1]], [\"lying\", 4]... | {"split": "train", "index": 18590} |
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, Benjamin, Luke, Daniel, Alexander, Joseph, Ethan, Jackson, and Evelyn. Sophia said, \"Joseph is a villain.\" Benjamin remarked, \"Ethan is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 813, \"statements\": [[\"lying\", 5], [\"telling-truth\", 6], [\"and\", [\"<=>\", [\"->\", [\"lying\", 1], [\"lying\", 6]], [\"telling-truth\", 0]], [\"->\", [\"<=>\", [\"lying\", 5], [\"lying\", 3]], [\"or\", [\"telling-truth... | {"split": "train", "index": 18591} |
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, William, Mia, Aiden, Avery, Benjamin, Aria, Victoria, and Sofia. Ella remarked, \"it is not the case that ((if William is a sinner then Ella is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 814, \"statements\": [[\"not\", [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"lying\", 8]]], [\"and\", [\"and\", [\"->\", [\"lying\", 8], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]], [\"telling-t... | {"split": "train", "index": 18592} |
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: Aiden, Ella, Olivia, Aurora, Owen, Penelope, Lily, Jacob, and Zoey. Aiden was heard saying, \"if ((if Penelope is a sinner then Lily is a saint) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 815, \"statements\": [[\"->\", [\"and\", [\"->\", [\"lying\", 5], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 8]], [\"and\", [\"lying\", 8], [\"telling-truth\", 1], [\"telling-truth\", 7], [\"lying\", 5]]], [\"<=>\"... | {"split": "train", "index": 18593} |
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: Isabella, Liam, Ella, Emma, Noah, Evelyn, Luke, Sebastian, and Abigail. Isabella said that it is not the case that ((if Isabella is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 816, \"statements\": [[\"not\", [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 5]], [\"not\", [\"lying\", 2]]]], [\"telling-truth\", 6], [\"->\", [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"<=>... | {"split": "train", "index": 18594} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: David, Victoria, Liam, Chloe, Oliver, Lucas, Harper, Evelyn, and Sophia. David stated, \"Sophia is a hero\". Victoria remarked, \"((Victoria is a her... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 817, \"statements\": [[\"telling-truth\", 8], [\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"lying\", 0], [\"lying\", 6], [\"telling-tr... | {"split": "train", "index": 18595} |
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, Sofia, Elizabeth, Evelyn, Ella, Ethan, Aria, Mia, and James. In a statement by Ava: \"Elizabeth is a sinner\". According to Sofia, \"Ava is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 818, \"statements\": [[\"lying\", 2], [\"telling-truth\", 0], [\"not\", [\"and\", [\"and\", [\"lying\", 0], [\"lying\", 3], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\... | {"split": "train", "index": 18596} |
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: Mason, Emma, Olivia, Logan, Aria, Liam, Michael, Joseph, and Aiden. Mason stated, \"((Michael is a villain and Aiden is a hero) or (Emma is a villain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 819, \"statements\": [[\"and\", [\"or\", [\"and\", [\"lying\", 6], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 1]], [\"->\", [\"lying\", 6], [\"telling-truth\", 8]], [\"->\", [\"lying\", 1], [\"lying\", 5]]], [\"tel... | {"split": "train", "index": 18597} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: James, Charlotte, Zoey, Ethan, Riley, Ella, Aria, Liam, and Henry. In James's words: \"Zoey is a saint if and only if (if (if Riley is a sinner then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 820, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"telling-truth\", 1]]], [\"telling-truth\", 5], [\"lying\", 1], [\"not\", [\"telling-truth\", 8]], [\"lying\"... | {"split": "train", "index": 18598} |
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: Henry, Sophia, Lily, Grace, Mason, James, Riley, Abigail, and Mia. In Henry's words: \"Riley is a knight\". Sophia remarked, \"it is not the case tha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 821, \"statements\": [[\"telling-truth\", 6], [\"not\", [\"not\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 5]]]], [\"lying\", 7], [\"<=>\", [\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 8]], [\"or\", [\"telling-... | {"split": "train", "index": 18599} |
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