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: Isabella, Matthew, Scarlett, Lily, Lucas, Emily, Luke, Oliver, and Mia. Isabella said, \"(it is not the case that (Lily is an altruist and Isab... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 322, \"statements\": [[\"and\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 1]]], [\"telling-truth\", 2]], [\"telling-truth\", 8], [\"and\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"<=... | {"split": "train", "index": 18100} |
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, Evelyn, Ella, Aria, Emma, Victoria, Aurora, James, and Chloe. According to David, \"Chloe is an egoist\". \"it is not the case that ((Vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 323, \"statements\": [[\"lying\", 8], [\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 8]], [\"not\", [\"lying\", 5]]]], [\"<=>\", [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", ... | {"split": "train", "index": 18101} |
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: Emma, Grace, Charlotte, Henry, Michael, Sophia, Oliver, Zoey, and Joseph. Emma said that if (if (Charlotte is a villain and Michael is a villain and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 324, \"statements\": [[\"->\", [\"->\", [\"and\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 5], [\"lying\", 3]], [\"lying\", 7]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"or\", [\"tellin... | {"split": "train", "index": 18102} |
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, Olivia, Emma, Chloe, Scarlett, Owen, James, Aria, and Elizabeth. \"it is not the case that (it is not the case that (Joseph is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 325, \"statements\": [[\"not\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1]]]], [\"telling-truth\", 7], [\"<=>\", [\"or\", [\"not\", [\"lying\", 0]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"a... | {"split": "train", "index": 18103} |
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: Lucas, Isabella, Luke, Scarlett, James, Emily, Abigail, William, and Samuel. Lucas said, \"it is not the case that ((Scarlett is a hero) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 326, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"not\", [\"lying\", 7]]]], [\"lying\", 5], [\"or\", [\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 5], [\"lying\", 8]], [\"... | {"split": "train", "index": 18104} |
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: Olivia, Riley, Joseph, Mia, Liam, Zoey, Chloe, Samuel, and Aiden. \"Chloe is a devil,\" Olivia claimed. \"((Chloe is an angel if and only if Samuel is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 327, \"statements\": [[\"lying\", 6], [\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 7]], [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 7], [\"lying\", 7], [\"lying\"... | {"split": "train", "index": 18105} |
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: Luke, Mason, Logan, Michael, Aria, Zoey, Jackson, Chloe, and Elizabeth. Luke remarked, \"Chloe is an angel\". Mason told you that Chloe is a devil if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 328, \"statements\": [[\"not\", [\"lying\", 7]], [\"<=>\", [\"lying\", 7], [\"<=>\", [\"or\", [\"lying\", 5], [\"lying\", 4]], [\"not\", [\"lying\", 6]]]], [\"not\", [\"and\", [\"lying\", 3], [\"<=>\", [\"lying\", 5], [\"lying... | {"split": "train", "index": 18106} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Riley, Benjamin, Abigail, Ava, Joseph, Sophia, Lily, Grace, and Sofia. Riley stated, \"((Sofia is an egoist) if and only if (Grace is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 329, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 3]]], [\"not\", [\"lying\", 5]], [\"->\", [\"not\", [\"lying\", 8]], [\"and\", [\"lying\", 4], [... | {"split": "train", "index": 18107} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Noah, Logan, Elizabeth, Penelope, Ethan, Zoey, Victoria, Isabella, and Charlotte. Noah stated, \"Elizabeth is a knight or (it is not the case that (P... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 330, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 1]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"lying\", 8], [\"lying\", 1]]]], [\"and\", [\"lying\",... | {"split": "train", "index": 18108} |
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, Penelope, Samuel, Grace, Ava, Victoria, Logan, Mia, and Lily. \"Ava is a laggard if and only if ((Ava is a pioneer) and (Ava is a laggar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 331, \"statements\": [[\"<=>\", [\"lying\", 4], [\"and\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"lying\", 8], [\"lying\", 7]]]], [\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 5]], [\"or\", [... | {"split": "train", "index": 18109} |
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, Samuel, Victoria, David, Amelia, Mason, Daniel, Chloe, and Mia. In a statement by Sofia: \"(if (Victoria is a saint and Sofia is a saint and D... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 332, \"statements\": [[\"and\", [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"lying\", 3]], [\"and\", [\"not\", [\"lying\", 5]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\... | {"split": "train", "index": 18110} |
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: Oliver, Emily, Sophia, Chloe, Alexander, James, Zoey, Luke, and Olivia. As Oliver put it, \"if Olivia is a laggard then (it is not the case tha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 333, \"statements\": [[\"->\", [\"lying\", 8], [\"not\", [\"not\", [\"lying\", 5]]]], [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"and\", [\"lying\", 3], [\"lying\", 8], [\"telling-truth\", 2], [\"telling-truth\", 1]]]], [\"... | {"split": "train", "index": 18111} |
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: Scarlett, Sofia, Samuel, Jackson, Joseph, Emily, Lily, Ella, and William. \"(if Ella is a sinner then Jackson is a sinner) or (if (Sofia is a saint) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 334, \"statements\": [[\"or\", [\"->\", [\"lying\", 7], [\"lying\", 3]], [\"->\", [\"not\", [\"lying\", 1]], [\"and\", [\"lying\", 5], [\"lying\", 4], [\"telling-truth\", 6], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"lyin... | {"split": "train", "index": 18112} |
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, Ava, Liam, Penelope, Ethan, Victoria, Scarlett, Mia, and Aria. \"((if Amelia is a saint then Penelope is a sinner) if and only if (if Aria is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 335, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"telling-truth... | {"split": "train", "index": 18113} |
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, Liam, Mia, Aurora, Penelope, Ethan, Aiden, Scarlett, and Owen. Jacob commented, \"(if (Liam is a fool and Mia is a fool and Aurora is a sage and Pen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 336, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 6]]], [\"lying\", 2]], [\"->\", [\"or\", [\"not\", [\"telling-truth\", 3... | {"split": "train", "index": 18114} |
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, Harper, Elizabeth, Sebastian, Ella, Mason, Scarlett, Oliver, and Daniel. According to Charlotte, \"(Charlotte is a saint if and only if (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 337, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"->\", [\"lying\", 1], [\"lying\", 8]]], [\"telling-truth\", 8]], [\"->\", [\"or\", [\"or\", [\"lying\", 5], [\"lying\", 0]], [\"and\", [\"telling-truth\", 6]... | {"split": "train", "index": 18115} |
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, Lucas, Mason, Avery, Zoey, Penelope, Isabella, Alexander, and Scarlett. Harper commented, \"Isabella is an altruist and ((if Mason is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 338, \"statements\": [[\"and\", [\"telling-truth\", 6], [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 6]], [\"or\", [\"lying\", 3], [\"lying\", 1], [\"lying\", 2]], [\"or\", [\"lying\", 5], [\"telling-truth\", 8], [\"t... | {"split": "train", "index": 18116} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Emma, Emily, William, Owen, Ella, Evelyn, Isabella, Luke, and Alexander. In Emma's words: \"(Alexander is a laggard if and only if (Isabella is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 339, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 8], [\"and\", [\"lying\", 6], [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 1]]], [\"or\", [\"or\", [\"telling-truth\", 8], [\"lying\", 3]], [\"<=>\", [\"telling-trut... | {"split": "train", "index": 18117} |
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, David, Oliver, Emma, Scarlett, Charlotte, Evelyn, Michael, and Daniel. Mia noted, \"((Oliver is a villain or Scarlett is a hero or Scarlett is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 340, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"lying\", 8]]], [\"and\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 3]], [\"and\", [\"telling-truth\",... | {"split": "train", "index": 18118} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Oliver, Sebastian, Sofia, Daniel, James, Sophia, Michael, Grace, and Logan. Oliver asserted: \"((Grace is a knave or Michael is a knight) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 341, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"lying\", 7], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 6]]], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"lying\", 4], [\"->\", [\"no... | {"split": "train", "index": 18119} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Penelope, Benjamin, Sofia, Sophia, Riley, Aria, Daniel, Olivia, and Mia. In Penelope's words: \"Sofia is a villain and ((Sophia is a hero or Riley is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 342, \"statements\": [[\"and\", [\"lying\", 2], [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 3], [\"lying\", 2]], [\"and\", [\"telling-truth\", 7], [\"lying\", 1], [\"telling-... | {"split": "train", "index": 18120} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Emma, James, Jackson, David, Harper, Lucas, Abigail, Riley, and Oliver. Emma said that if Abigail is a pioneer then ((Abigail is a laggard and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 343, \"statements\": [[\"->\", [\"telling-truth\", 6], [\"<=>\", [\"and\", [\"lying\", 6], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]]], [\"or\", [\"->\", [\"and\", [\"lying\", 4], [\"lyi... | {"split": "train", "index": 18121} |
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, Emma, Victoria, Daniel, Amelia, Emily, Jackson, Noah, and Ella. Sophia noted, \"it is not the case that (Daniel is an angel and (if Amelia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 344, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 4], [\"lying\", 6]], [\"or\", [\"lying\", 8], [\"telling-truth\", 7], [\"telling-truth\", 2]]]], [\"->\", [\"telling-truth\", 3], [... | {"split": "train", "index": 18122} |
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, Oliver, Liam, Mia, Jackson, Benjamin, Michael, Aria, and Elizabeth. Harper remarked, \"Benjamin is a villain or (it is not the case that (Ben... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 345, \"statements\": [[\"or\", [\"lying\", 5], [\"not\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 0]]], [\"lying\", 8], [\"or\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 3], ... | {"split": "train", "index": 18123} |
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: Zoey, Penelope, Ava, Aiden, Isabella, Henry, Elizabeth, Abigail, and Jacob. \"Elizabeth is an egoist and Penelope is an egoist and (Penelope is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 346, \"statements\": [[\"and\", [\"lying\", 6], [\"lying\", 1], [\"<=>\", [\"lying\", 1], [\"->\", [\"telling-truth\", 7], [\"lying\", 2]]]], [\"and\", [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0], [\"telling-trut... | {"split": "train", "index": 18124} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Victoria, Sofia, Elizabeth, Oliver, Michael, Scarlett, Olivia, Abigail, and Owen. \"it is not the case that (if (Sofia is a pioneer) then (Oliv... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 347, \"statements\": [[\"not\", [\"->\", [\"not\", [\"lying\", 1]], [\"or\", [\"telling-truth\", 6], [\"lying\", 3], [\"lying\", 5], [\"telling-truth\", 4]]]], [\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-tru... | {"split": "train", "index": 18125} |
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: Penelope, Oliver, Matthew, Jacob, Avery, Aria, Michael, Henry, and Benjamin. Penelope expressed that Oliver is a devil. Oliver commented, \"(it is not ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 348, \"statements\": [[\"lying\", 1], [\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 5], [\"lying\", 0], [\"telling-truth\", 0]]], [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\"... | {"split": "train", "index": 18126} |
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, Grace, Aurora, Logan, Jackson, Mason, Ella, Amelia, and Oliver. In Avery's words: \"((Amelia is a pioneer) and (if Grace is a laggard th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 349, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"lying\", 7]], [\"->\", [\"lying\", 1], [\"lying\", 7]], [\"or\", [\"lying\", 4], [\"telling-truth\", 8], [\"telling-truth\", 6]], [\"->\", [\"lying\", 6], [\"telling-truth... | {"split": "train", "index": 18127} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Penelope, Lily, Aurora, Victoria, Samuel, Aria, Mia, Aiden, and Liam. Penelope told you that Aurora is a hero. Lily said that ((if Penelope is a vill... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 350, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"and\", [\"->\", [\"lying\", 0], [\"telling-truth\", 8]], [\"not\", [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 5]], [\"<=>\", [\"lying\", 2], [\"tel... | {"split": "train", "index": 18128} |
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, Olivia, Penelope, Logan, Samuel, Jack, Elizabeth, Daniel, and Mason. According to Scarlett, \"((Logan is a fool) and (if Daniel is a sage then Ol... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 351, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"lying\", 5], [\"lying\", 1]], [\"not\", [\"telling-truth\", 0]]]], [\... | {"split": "train", "index": 18129} |
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, Charlotte, Sofia, Samuel, Emma, Matthew, Owen, Aria, and William. Alexander noted, \"Charlotte is a sage and ((Sofia is a fool and William is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 352, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"or\", [\"and\", [\"lying\", 2], [\"lying\", 8], [\"lying\", 5]], [\"and\", [\"lying\", 3], [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 8], [\"lying\", 3]]], [\"not\... | {"split": "train", "index": 18130} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Abigail, Riley, Liam, Jackson, Charlotte, Avery, Joseph, Scarlett, and Penelope. Abigail stated, \"it is not the case that ((Avery is a sage if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 353, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"or\", [\"lying\", 1], [\"telling-truth\", 3]]]], [\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\",... | {"split": "train", "index": 18131} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: William, Samuel, James, Olivia, Aiden, Mia, Joseph, Lily, and Oliver. William asserted: \"((Mia is a saint or Mia is a sinner) or (Oliver is a sinner... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 354, \"statements\": [[\"or\", [\"or\", [\"or\", [\"telling-truth\", 5], [\"lying\", 5]], [\"and\", [\"lying\", 8], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"and\", [\"telling-tr... | {"split": "train", "index": 18132} |
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: Aurora, Samuel, Logan, Scarlett, Avery, Riley, Emma, Elizabeth, and Olivia. Aurora expressed that ((Avery is an angel if and only if Scarlett is an ang... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 355, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"lying\", 3]]], [\"or\", [\"lying\", 6], [\"<=>\", [\"lying\", ... | {"split": "train", "index": 18133} |
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, Alexander, Harper, Elizabeth, Ella, Jack, Luke, Michael, and Isabella. As Joseph put it, \"(if (Ella is an egoist and Jack is an egoist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 356, \"statements\": [[\"and\", [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 5]], [\"not\", [\"lying\", 2]]], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 5]], [\"->\", [\"lying\", 2], [\"lying\", 5]]]], [\"<=>\", ... | {"split": "train", "index": 18134} |
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, Michael, Luke, Olivia, Matthew, Aurora, Jack, Liam, and Emily. \"it is not the case that ((Michael is a sage if and only if Matthew is a fool) an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 357, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 2]], [\"not\", [\"telling-truth\", 1]], [\"lying... | {"split": "train", "index": 18135} |
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: Logan, Amelia, Emily, Olivia, Ava, Penelope, Samuel, Isabella, and Benjamin. \"((Penelope is a sage and Ava is a fool and Samuel is a sage) if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 358, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 5], [\"lying\", 4], [\"telling-truth\", 6]], [\"->\", [\"lying\", 8], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 7], [\"lying\", 6]], ... | {"split": "train", "index": 18136} |
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: Sebastian, Amelia, Owen, Alexander, Luke, James, Zoey, William, and Emma. \"Emma is a saint,\" Sebastian claimed. \"if ((Sebastian is a sinner if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 359, \"statements\": [[\"telling-truth\", 8], [\"->\", [\"or\", [\"<=>\", [\"lying\", 0], [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"lying\", 7], [\"... | {"split": "train", "index": 18137} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Liam, Penelope, Henry, Benjamin, Noah, Scarlett, Matthew, Harper, and Ava. \"it is not the case that ((Scarlett is an altruist or Harper is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 360, \"statements\": [[\"not\", [\"and\", [\"or\", [\"telling-truth\", 5], [\"lying\", 7], [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"not\", [\"lying\", 7]], [\"not\", [\"telling-truth\", 6]]]], [\"and\", [\"lying\", ... | {"split": "train", "index": 18138} |
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: Benjamin, Henry, Lily, Sebastian, Mason, Lucas, Alexander, Isabella, and Joseph. \"((Alexander is a knave) and (Henry is a knight) and (Mason is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 361, \"statements\": [[\"and\", [\"and\", [\"not\", [\"telling-truth\", 6]], [\"not\", [\"lying\", 1]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"or\", [\"telling-truth\", 0], [\... | {"split": "train", "index": 18139} |
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: Samuel, Aurora, Henry, Zoey, Harper, Emily, William, Ella, and Daniel. In Samuel's words: \"it is not the case that (Ella is a devil if and only if (Em... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 362, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 7], [\"<=>\", [\"lying\", 5], [\"lying\", 6]]]], [\"telling-truth\", 6], [\"lying\", 5], [\"not\", [\"not\", [\"and\", [\"telling-truth\", 5], [\"lying\", 6], [\"telling-tr... | {"split": "train", "index": 18140} |
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: Jackson, Lucas, Henry, Daniel, Evelyn, Riley, Emily, Aiden, and Amelia. Jackson said that it is not the case that ((Lucas is a laggard or Ameli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 363, \"statements\": [[\"not\", [\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 8], [\"telling-truth\", 5]], [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 6]]]], [\"not\", [\"->\", [\"<=>\"... | {"split": "train", "index": 18141} |
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, Emily, Luke, Liam, David, Chloe, Daniel, Benjamin, and Emma. \"((if Liam is a knight then Luke is a knave) if and only if (Emma is a knave ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 364, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"or\", [\"lying\", 8], [\"telling-truth\", 3], [\"telling-truth\", 6]]], [\"->\", [\"or\", [\"lying\", 2], [\"lying\", 8]], [\"or\", ... | {"split": "train", "index": 18142} |
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: Samuel, Evelyn, Elizabeth, Jackson, Mason, Logan, Riley, Chloe, and Michael. \"it is not the case that (if (Elizabeth is a devil) then (if Riley is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 365, \"statements\": [[\"not\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 6], [\"lying\", 6]]]], [\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 0]], [\"<=>\", [\"telling-truth\... | {"split": "train", "index": 18143} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Mason, Charlotte, Chloe, Noah, Lily, Liam, Sofia, Alexander, and Evelyn. According to Mason, \"Evelyn is an altruist\". \"(it is not the case t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 366, \"statements\": [[\"telling-truth\", 8], [\"or\", [\"not\", [\"not\", [\"lying\", 2]]], [\"not\", [\"and\", [\"lying\", 7], [\"lying\", 0], [\"telling-truth\", 4]]], [\"not\", [\"lying\", 5]]], [\"not\", [\"and\", [\"not\... | {"split": "train", "index": 18144} |
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: Chloe, Oliver, Lily, Isabella, Jack, Aiden, Liam, Amelia, and Noah. \"it is not the case that (if (if Amelia is a villain then Oliver is a hero) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 367, \"statements\": [[\"not\", [\"->\", [\"->\", [\"lying\", 7], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 2]]]], [\"or\", [\"and\", [\"lying\", 3], [\"not\", [\"lying\", 7]], [\"->\", [\"telling-... | {"split": "train", "index": 18145} |
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, Chloe, Grace, Joseph, Samuel, Matthew, Noah, Zoey, and Olivia. Ava noted, \"(it is not the case that (if Matthew is an altruist then Chloe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 368, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 5], [\"lying\", 1]]], [\"lying\", 1]], [\"<=>\", [\"->\", [\"<=>\", [\"lying\", 0], [\"lying\", 3]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2... | {"split": "train", "index": 18146} |
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, James, Michael, Ava, Owen, Liam, Scarlett, Chloe, and Daniel. Olivia said, \"((James is a knave if and only if Daniel is a knave) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 369, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"lying\", 1], [\"lying\", 8]], [\"lying\", 4]], [\"not\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\",... | {"split": "train", "index": 18147} |
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, Lily, Liam, Alexander, Aiden, Riley, Jackson, Matthew, and Aurora. Joseph asserted: \"Joseph is a sage and Lily is a sage and (it is not the case t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 370, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"not\", [\"not\", [\"lying\", 1]]], [\"<=>\", [\"telling-truth\", 6], [\"and\", [\"lying\", 1], [\"telling-truth\", 7]]]], [\"<=>\", [\"telling-... | {"split": "train", "index": 18148} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: William, Riley, Benjamin, Emily, Matthew, Scarlett, Ava, Evelyn, and Sofia. William noted, \"((Benjamin is a knave and Ava is a knight and Matthew is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 371, \"statements\": [[\"and\", [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"telling-truth\", 5]], [\"lyi... | {"split": "train", "index": 18149} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Aiden, Sophia, Scarlett, Benjamin, Grace, Joseph, William, Sofia, and Jackson. \"if ((Sophia is an angel or Sofia is a devil) or (Jackson is a devil or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 372, \"statements\": [[\"->\", [\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 7]], [\"or\", [\"lying\", 8], [\"telling-truth\", 7], [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"lying\", 8], [\"... | {"split": "train", "index": 18150} |
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: Scarlett, Abigail, Benjamin, Sebastian, Henry, Amelia, Penelope, Emily, and Joseph. \"it is not the case that ((Amelia is a knight) and (if Emily is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 373, \"statements\": [[\"not\", [\"and\", [\"not\", [\"lying\", 5]], [\"->\", [\"telling-truth\", 7], [\"lying\", 1]], [\"telling-truth\", 4], [\"lying\", 4]]], [\"<=>\", [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", ... | {"split": "train", "index": 18151} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: David, Aiden, Liam, Sebastian, Ava, Jack, Emma, James, and Lily. According to David, \"Liam is a sage and (it is not the case that (if Aiden is a sage then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 374, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 7]]], [\"and\", [\"->\", [\"lying\", 6], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 6], [\"lyin... | {"split": "train", "index": 18152} |
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, Daniel, James, Harper, Samuel, Henry, Zoey, Matthew, and Olivia. \"(if James is a sinner then (James is a saint or Harper is a sinner)) or Sam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 375, \"statements\": [[\"or\", [\"->\", [\"lying\", 2], [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"lying\", 4], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 2]]]], [\"telling-truth\", 7]... | {"split": "train", "index": 18153} |
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: Aurora, Ava, Victoria, Lucas, Henry, Abigail, Evelyn, Aiden, and Chloe. \"it is not the case that ((Evelyn is a devil if and only if Aiden is an angel)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 376, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 6], [\"telling-truth\", 7], [\"telling-truth\", 1]]]], [\"->\", [\"->\", [\"or\... | {"split": "train", "index": 18154} |
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: Matthew, Charlotte, Emily, Penelope, Owen, Amelia, Ella, Logan, and Grace. In a statement by Matthew: \"(Grace is a knave) and (it is not the case th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 377, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 8]], [\"not\", [\"and\", [\"lying\", 5], [\"lying\", 6], [\"telling-truth\", 1], [\"lying\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2],... | {"split": "train", "index": 18155} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Matthew, Emma, Jackson, Mia, Emily, Chloe, Avery, Victoria, and Aiden. Matthew said, \"Emily is an angel.\" \"it is not the case that (if Avery is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 378, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"->\", [\"telling-truth\", 6], [\"and\", [\"telling-truth\", 5], [\"lying\", 5], [\"lying\", 7], [\"telling-truth\", 7]]]], [\"<=>\", [\"telling-truth\", 6], [\"lying\"... | {"split": "train", "index": 18156} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Grace, Ava, Victoria, Lucas, Amelia, Ethan, Abigail, James, and Aiden. \"((Abigail is a hero) if and only if (Lucas is a villain or Ava is a hero or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 379, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"lying\", 6]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 6]], [\"->\", [\"lying\", ... | {"split": "train", "index": 18157} |
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, Aria, Emma, Sebastian, Ella, Owen, Sofia, Lily, and Daniel. \"((Sebastian is a knave) and (Daniel is a knave or Aria is a knave or Owen is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 380, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", 8], [\"lying\", 1], [\"lying\", 5], [\"telling-truth\", 8]], [\"not\", [\"lying\", 8]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"l... | {"split": "train", "index": 18158} |
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, Jackson, Matthew, Jack, Henry, Ethan, Amelia, Charlotte, and Lily. Sebastian expressed that ((Matthew is a pioneer and Henry is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 381, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 6], [\"lying\", 8]], [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"lying\",... | {"split": "train", "index": 18159} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Jackson, Luke, Aiden, Sophia, Joseph, Sebastian, Liam, Penelope, and Victoria. As Jackson put it, \"((Victoria is a knave) and (Joseph is a knight) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 382, \"statements\": [[\"and\", [\"and\", [\"not\", [\"telling-truth\", 8]], [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 7]]], [\"->\", [\"telling-truth\", 8], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]]], [\"and\"... | {"split": "train", "index": 18160} |
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, Jackson, Logan, Mia, Alexander, Riley, Ella, Abigail, and Noah. Mason was heard saying, \"Alexander is a villain if and only if (Ella is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 383, \"statements\": [[\"<=>\", [\"lying\", 4], [\"and\", [\"lying\", 6], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 4], [\"lying... | {"split": "train", "index": 18161} |
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: Benjamin, Sophia, Scarlett, Alexander, Mason, Samuel, Evelyn, David, and Emily. As Benjamin put it, \"((Sophia is a sage and Scarlett is a fool and David i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 384, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 7]], [\"not\", [\"lying\", 1]]], [\"telling-truth\", 5], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-tru... | {"split": "train", "index": 18162} |
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, Charlotte, Oliver, Ella, Michael, Olivia, David, Penelope, and James. Noah asserted: \"((if David is a devil then Ella is a devil) or (Charlotte ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 385, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"lying\", 6], [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"telling-truth\", 8]], ... | {"split": "train", "index": 18163} |
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, Evelyn, Aiden, Penelope, Sofia, Sophia, Daniel, Zoey, and Emma. Joseph asserted: \"(it is not the case that (Emma is a fool if and only if Daniel i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 386, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 6]]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 8], [\"telling-truth\", 6], [\"telling-truth\", 7]], [\"and\", [\"lying\", 8]... | {"split": "train", "index": 18164} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Abigail, Victoria, Ava, Ella, William, Aria, Daniel, Benjamin, and Harper. As Abigail put it, \"Victoria is a fool\". Victoria expressed that (William is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 387, \"statements\": [[\"lying\", 1], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 0], [\"lying\", 8], [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\"not\", ... | {"split": "train", "index": 18165} |
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, Chloe, Avery, Victoria, Daniel, Aurora, Ella, Ava, and Owen. According to Samuel, \"it is not the case that (Owen is an altruist or (Au... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 388, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 8], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 0]]]], [\"lying\", 8], [\"lying\", 1], [\"->\", [\"not\", [\"or\", [\"lying\", 6], [\"lying\", 2]]], [\"<=>... | {"split": "train", "index": 18166} |
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: Zoey, Grace, Evelyn, Samuel, Owen, Emma, Scarlett, Joseph, and Ella. According to Zoey, \"if Samuel is a pioneer then ((Evelyn is a laggard if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 389, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 8]], [\"telling-truth\", 6], [\"<=>\", [\"lying\", 1], [\"lying\", 6]]]], [\"not\", [\"not\", [\"or\", [\"lying\", ... | {"split": "train", "index": 18167} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Daniel, Jack, Ava, James, Oliver, Victoria, Amelia, Benjamin, and Matthew. \"Victoria is a knight,\" Daniel declared. \"James is a knave,\" Jack ment... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 390, \"statements\": [[\"telling-truth\", 5], [\"lying\", 3], [\"and\", [\"lying\", 0], [\"and\", [\"not\", [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 6], [\"lying\", 3]], [\"or\", [\"telling-truth\", 6], [\"lying\"... | {"split": "train", "index": 18168} |
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, James, Elizabeth, Evelyn, Amelia, Harper, Emily, Sebastian, and Jackson. In a statement by Penelope: \"if Emily is a knight then ((Jackson ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 391, \"statements\": [[\"->\", [\"telling-truth\", 6], [\"or\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\", 5], [\"lying\", ... | {"split": "train", "index": 18169} |
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: Ethan, Avery, Grace, Logan, Liam, Lucas, Isabella, Benjamin, and Aria. In a statement by Ethan: \"if ((if Isabella is a hero then Ethan is a hero) an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 392, \"statements\": [[\"->\", [\"and\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 8]]], [\"lying\", 5]], [\"and\", [\"no... | {"split": "train", "index": 18170} |
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, Lily, Aurora, William, Abigail, Samuel, Oliver, Henry, and David. Evelyn expressed that (Abigail is a saint or (Oliver is a saint and Henry i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 393, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 6], [\"lying\", 7], [\"telling-truth\", 5]]], [\"or\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]]... | {"split": "train", "index": 18171} |
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, Henry, Olivia, Penelope, Scarlett, James, Owen, and Aiden. Avery said, \"Aiden is a devil.\" \"Henry is an angel if and only if (it is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 394, \"statements\": [[\"lying\", 8], [\"<=>\", [\"telling-truth\", 2], [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 5], [\"telling-truth\", 2]]]], [\"or\", [\"or\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 4], [\"lying... | {"split": "train", "index": 18172} |
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, Scarlett, Henry, Joseph, Emma, Ella, Mason, Olivia, and Luke. Samuel commented, \"(it is not the case that (Mason is an altruist)) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 395, \"statements\": [[\"and\", [\"not\", [\"not\", [\"lying\", 6]]], [\"and\", [\"and\", [\"telling-truth\", 6], [\"lying\", 8]], [\"or\", [\"telling-truth\", 6], [\"lying\", 2], [\"lying\", 8], [\"telling-truth\", 8]], [\"an... | {"split": "train", "index": 18173} |
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: Olivia, Owen, Aiden, Oliver, Victoria, Emma, Emily, Lucas, and Charlotte. Olivia said that if ((Charlotte is a devil and Owen is a devil and Emily is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 396, \"statements\": [[\"->\", [\"or\", [\"and\", [\"lying\", 8], [\"lying\", 1], [\"lying\", 6]], [\"lying\", 8], [\"not\", [\"lying\", 5]], [\"and\", [\"telling-truth\", 4], [\"lying\", 8], [\"telling-truth\", 1], [\"lying\"... | {"split": "train", "index": 18174} |
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: Liam, Chloe, Alexander, Avery, Matthew, Owen, Ethan, Aria, and James. Liam asserted: \"it is not the case that (if (Avery is a saint if and only if E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 397, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 6]], [\"and\", [\"lying\", 1], [\"lying\", 2], [\"lying\", 4], [\"lying\", 7]]]], [\"and\", [\"and\", [\"lying\", 4], [\"or\", [\"lying\", ... | {"split": "train", "index": 18175} |
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, Aiden, Scarlett, Riley, Jack, Samuel, Benjamin, Olivia, and Lucas. Harper told you that ((Lucas is a hero if and only if Aiden is a hero) if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 398, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"telling-truth\", 0]], [\"lying\", 2], [\"<=>\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 5]]]... | {"split": "train", "index": 18176} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Daniel, Elizabeth, Lucas, Scarlett, Emma, Victoria, Joseph, Evelyn, and Chloe. \"(if Scarlett is a sage then (Chloe is a sage if and only if Lucas is a foo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 399, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"->\... | {"split": "train", "index": 18177} |
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, Amelia, Victoria, Owen, Avery, Liam, Logan, Jack, and Emily. Samuel said, \"Jack is an altruist.\" Amelia said, \"((Jack is an egoist o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 400, \"statements\": [[\"telling-truth\", 7], [\"<=>\", [\"or\", [\"or\", [\"lying\", 7], [\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 5]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 5]]], [\"not\", [\"or\", [... | {"split": "train", "index": 18178} |
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, Noah, Alexander, Jack, Owen, Daniel, Riley, Oliver, and Benjamin. Sofia said, \"Alexander is a sinner.\" Noah noted, \"Benjamin is a saint\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 401, \"statements\": [[\"lying\", 2], [\"not\", [\"lying\", 8]], [\"->\", [\"or\", [\"not\", [\"lying\", 6]], [\"->\", [\"telling-truth\", 2], [\"lying\", 6]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"lyin... | {"split": "train", "index": 18179} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Aiden, Sophia, Lily, Logan, Zoey, Aria, Michael, David, and Jackson. In Aiden's words: \"((David is an altruist or Aria is an egoist or Lily is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 402, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 7], [\"lying\", 5], [\"telling-truth\", 2], [\"lying\", 3]], [\"not\", [\"lying\", 5]], [\"->\", [\"telling-truth\", 6], [\"lying\", 8]]], [\"->\", [\"and\"... | {"split": "train", "index": 18180} |
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: Aria, Ava, Owen, David, Alexander, William, Mia, Mason, and Benjamin. Aria said, \"(David is a hero if and only if (David is a hero and Mia is a hero... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 403, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 6], [\"lying\", 7], [\"lying\", 6]]], [\"<=>\", [\"telling-truth\", 7], [\"and\", [\"lying\", 2], [\"lying... | {"split": "train", "index": 18181} |
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, Scarlett, Matthew, Henry, Noah, Samuel, Mia, Grace, and Lucas. David stated, \"Samuel is an altruist\". Scarlett was heard saying, \"(if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 404, \"statements\": [[\"telling-truth\", 5], [\"and\", [\"->\", [\"lying\", 8], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 3]]], [\"lying\", 8], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 7], [\"tellin... | {"split": "train", "index": 18182} |
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: Harper, Elizabeth, Jackson, Sebastian, Matthew, Benjamin, Samuel, Olivia, and Sofia. Harper asserted: \"if ((Sebastian is a saint if and only if Samu... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 405, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 5]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2]]]], [\"and\", [\"->\", [\"not\",... | {"split": "train", "index": 18183} |
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: Noah, Matthew, Victoria, Jackson, Ethan, Aiden, Evelyn, Sebastian, and Mason. \"Matthew is a villain\" - Noah. \"it is not the case that ((if Aiden i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 406, \"statements\": [[\"lying\", 1], [\"not\", [\"<=>\", [\"->\", [\"lying\", 5], [\"telling-truth\", 4]], [\"->\", [\"lying\", 6], [\"telling-truth\", 4]]]], [\"lying\", 0], [\"lying\", 0], [\"not\", [\"->\", [\"and\", [\"te... | {"split": "train", "index": 18184} |
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: Benjamin, Lily, Harper, Jacob, Emma, Isabella, Alexander, Mia, and Matthew. Benjamin was heard saying, \"((if Isabella is a sage then Lily is a sage) or (L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 407, \"statements\": [[\"and\", [\"or\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 8]]], [\"lying\", 5], [\"telling-truth\", 5], [\"->\", [\"or\", [\"tellin... | {"split": "train", "index": 18185} |
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: Emma, Emily, Isabella, Luke, Ella, Benjamin, James, Ava, and Harper. \"if ((if Luke is a fool then Harper is a sage) if and only if (Benjamin is a fool or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 408, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 8]], [\"or\", [\"lying\", 5], [\"telling-truth\", 7]]], [\"->\", [\"or\", [\"telling-truth\", 5], [\"lying\", 6]], [\"or\", [\"telling-truth... | {"split": "train", "index": 18186} |
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, Riley, Jack, Scarlett, Elizabeth, Amelia, Liam, Matthew, and Benjamin. Jacob remarked, \"Riley is an egoist if and only if (it is not th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 409, \"statements\": [[\"<=>\", [\"lying\", 1], [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]]], [\"not\", [\"and\", [\"not\", [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 5], [\"lying\", 7]], [\"telling-truth\"... | {"split": "train", "index": 18187} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Mia, Jack, Alexander, Emily, Mason, Sebastian, David, Jacob, and Abigail. Mia asserted: \"Alexander is an altruist\". \"if (if (Alexander is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 410, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 0], [\"lying\", 6], [\"lying\", 2]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"ly... | {"split": "train", "index": 18188} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Avery, Sophia, Amelia, Noah, Penelope, Elizabeth, Joseph, Olivia, and Liam. Avery told you that Elizabeth is a knight. In a statement by Sophia: \"((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 411, \"statements\": [[\"telling-truth\", 5], [\"and\", [\"<=>\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 6]]], [\"<=>\", [\"<=>\", [\"lying\", 6], [\"telling-tr... | {"split": "train", "index": 18189} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Aiden, Noah, Amelia, Logan, Ava, Sophia, James, Michael, and Aria. Aiden asserted: \"((Michael is a fool or Aria is a sage) if and only if (Ava is a sage))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 412, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"lying\", 7], [\"telling-truth\", 8]], [\"not\", [\"lying\", 4]]], [\"not\", [\"telling-truth\", 8]]], [\"or\", [\"and\", [\"->\", [\"lying\", 5], [\"telling-truth\", 4]], [... | {"split": "train", "index": 18190} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Emma, Matthew, Jackson, Chloe, Daniel, Harper, William, Zoey, and Sophia. Emma was heard saying, \"if Sophia is a knight then ((if Matthew is a knigh... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 413, \"statements\": [[\"->\", [\"telling-truth\", 8], [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]]], [\"->\", [\"not\", [\"or\", [\"telling-trut... | {"split": "train", "index": 18191} |
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, Olivia, Daniel, Ethan, Benjamin, Abigail, Mason, Liam, and Evelyn. Jackson was heard saying, \"Abigail is a fool\". \"Ethan is a sage or (if (if O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 414, \"statements\": [[\"lying\", 5], [\"or\", [\"telling-truth\", 3], [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"lying\", 5]], [\"lying\", 8], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", ... | {"split": "train", "index": 18192} |
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, Mia, Scarlett, Penelope, Benjamin, Aiden, Lucas, Zoey, and Logan. In a statement by Alexander: \"((Alexander is a villain) and Penelope is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 415, \"statements\": [[\"or\", [\"and\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 3], [\"and\", [\"lying\", 3], [\"lying\", 5], [\"lying\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"and\", [\"lying\", 4], [\"... | {"split": "train", "index": 18193} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Benjamin, Avery, Mia, Sofia, Lily, Olivia, Charlotte, Samuel, and Emily. \"Sofia is a pioneer,\" Benjamin declared. \"it is not the case that (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 416, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"not\", [\"not\", [\"telling-truth\", 3]]]], [\"or\", [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 7]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 5]]], [\... | {"split": "train", "index": 18194} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Michael, Aurora, Sebastian, Sophia, Amelia, Penelope, Jack, Ava, and Sofia. \"if (it is not the case that (Penelope is a knave or Amelia is a knight)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 417, \"statements\": [[\"->\", [\"not\", [\"or\", [\"lying\", 5], [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 8]]]], [\"and\", [\"telling-truth\", 4], [\"lying\", 8], [\"->\", [\"->\", [\"t... | {"split": "train", "index": 18195} |
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: Lucas, Luke, Noah, Ethan, Sofia, Penelope, Olivia, Amelia, and Daniel. \"Penelope is a pioneer or ((if Luke is a laggard then Ethan is a laggar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 418, \"statements\": [[\"or\", [\"telling-truth\", 5], [\"<=>\", [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"lying\", 4], [\"and\", [\"telling-truth\", 1], [\"lying\", 5], [\"lying... | {"split": "train", "index": 18196} |
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, Liam, Grace, Aiden, Benjamin, Daniel, James, Elizabeth, and Ella. Owen remarked, \"James is a sinner if and only if ((Aiden is a saint if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 419, \"statements\": [[\"<=>\", [\"lying\", 6], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 5]], [\"and\", [\"lying\", 4], [\"telling-truth\", 7], [\"lying\", 1]]]], [\"and\", [\"<=>\", [\"and\", [\"telling-truth\"... | {"split": "train", "index": 18197} |
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, Evelyn, David, Michael, Jacob, Luke, Daniel, Matthew, and Grace. According to Harper, \"it is not the case that ((if Grace is a knight then M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 420, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"and\", [\"lying\", 7], [\"lying\", 2]]]], [\"and\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 6], [\"... | {"split": "train", "index": 18198} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Jackson, Ella, Chloe, Henry, Daniel, David, Lily, Riley, and Emily. Jackson said, \"Chloe is a knight and (Jackson is a knight and (Daniel is a knigh... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 421, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 6], [\"lying\", 2], [\"lying\", 8]], [\"not\", [\"lying\", 3]]]], [\"<=>\", [\"not... | {"split": "train", "index": 18199} |
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