data_source stringclasses 1
value | prompt stringlengths 657 2.81k | ability stringclasses 1
value | reward_model stringlengths 1.3k 5.51k | extra_info stringlengths 30 34 |
|---|---|---|---|---|
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Ethan, Samuel, Daniel, Aurora, and Logan. \"Ethan is a sage if and only if ((if Samuel is a sage then Logan is a sage) and (Aurora is a sage)),\" Ethan men... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 122, \"statements\": [[\"<=>\", [\"telling-truth\", 0], [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"not\", [\"lying\", 3]]]], [\"not\", [\"not\", [\"or\", [\"lying\", 0], [\"lying\", 3], [\"lying\", ... | {"split": "train", "index": 17900} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Mia, Riley, Abigail, Isabella, and Elizabeth. Mia commented, \"(Riley is a sage or (Elizabeth is a fool and Elizabeth is a sage and Abigail is a sage) or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 123, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 1], [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 1], [\"lying\", 1], [\"lying\", 2], [\"lying\", 4]], [\"-... | {"split": "train", "index": 17901} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Aria, Zoey, Emily, William, and Charlotte. In Aria's words: \"if (Zoey is a villain or (Charlotte is a hero and Zoey is a hero) or (Charlotte is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 124, \"statements\": [[\"->\", [\"or\", [\"lying\", 1], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"lying\", 4]]], [\"or\", ... | {"split": "train", "index": 17902} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Charlotte, Daniel, Aurora, Jack, and Owen. Charlotte said that Jack is a fool. In a statement by Daniel: \"((Charlotte is a sage or Jack is a fool or Jack ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 125, \"statements\": [[\"lying\", 3], [\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 3], [\"lying\", 4]], [\"telling-truth\", 3]], [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\",... | {"split": "train", "index": 17903} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Matthew, Logan, Aurora, Aiden, and Samuel. As Matthew put it, \"if ((Matthew is a sage and Aurora is a sage and Logan is a sage) if and only if (Logan is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 126, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"not\... | {"split": "train", "index": 17904} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Olivia, Michael, Mia, Abigail, and Daniel. Olivia asserted: \"((if Michael is a sage then Abigail is a fool) or (Abigail is a sage) or Michael is a sage or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 127, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"not\", [\"lying\", 3]], [\"telling-truth\", 1], [\"lying\", 1]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", ... | {"split": "train", "index": 17905} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Samuel, Olivia, Alexander, Charlotte, and Ella. Samuel noted, \"Charlotte is a hero\". Olivia remarked, \"Samuel is a hero\". Alexander told you that... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 128, \"statements\": [[\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 1], [\"or\", [\"or\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2... | {"split": "train", "index": 17906} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, Ella, Matthew, Daniel, and Scarlett. \"Matthew is a knave\" - Penelope. Ella asserted: \"(Daniel is a knave or (Matthew is a knight and Sca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 129, \"statements\": [[\"lying\", 2], [\"and\", [\"or\", [\"lying\", 3], [\"and\", [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"and\"... | {"split": "train", "index": 17907} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: David, Victoria, Oliver, Ella, and Sophia. David stated, \"it is not the case that (it is not the case that (Victoria is a devil and David is an angel ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 130, \"statements\": [[\"not\", [\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 1]]]], [\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"te... | {"split": "train", "index": 17908} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Michael, Penelope, Liam, Joseph, and Luke. Michael noted, \"it is not the case that (it is not the case that (if Joseph is an egoist then Liam ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 131, \"statements\": [[\"not\", [\"not\", [\"->\", [\"lying\", 3], [\"lying\", 2]]]], [\"telling-truth\", 4], [\"not\", [\"or\", [\"lying\", 1], [\"or\", [\"lying\", 3], [\"lying\", 0], [\"telling-truth\", 2], [\"telling-truth... | {"split": "train", "index": 17909} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Sofia, Amelia, Daniel, Emily, and Chloe. Sofia remarked, \"if ((if Emily is a laggard then Emily is a pioneer) or Chloe is a laggard or (Daniel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 132, \"statements\": [[\"->\", [\"or\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"lying\", 4], [\"and\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], ... | {"split": "train", "index": 17910} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Scarlett, Jacob, Liam, Alexander, and Oliver. Scarlett commented, \"(Scarlett is a knight or (Alexander is a knight) or (if Alexander is a knight the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 133, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 0], [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"telling-truth\", 2], [\"and\... | {"split": "train", "index": 17911} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Grace, Oliver, Alexander, Amelia, and Avery. \"(if (Alexander is an altruist if and only if Amelia is an altruist) then (Alexander is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 134, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"not\", [\"lying\", 2]]], [\"telling-truth\", 4]], [\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4... | {"split": "train", "index": 17912} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Aiden, Daniel, Benjamin, Joseph, and James. \"if ((Aiden is a saint or Daniel is a sinner or Daniel is a saint or Benjamin is a saint) or (James is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 135, \"statements\": [[\"->\", [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 2]], [\"... | {"split": "train", "index": 17913} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Elizabeth, James, Isabella, Henry, and Riley. Elizabeth commented, \"(it is not the case that (Henry is a fool or Henry is a sage or Riley is a fool)) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 136, \"statements\": [[\"and\", [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3], [\"lying\", 4]]], [\"not\", [\"lying\", 2]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 3]]], [\"->\", [... | {"split": "train", "index": 17914} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: David, Grace, Michael, Ethan, and Sofia. In a statement by David: \"Michael is an egoist\". \"(if (Sofia is an egoist and Ethan is an egoist an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 137, \"statements\": [[\"lying\", 2], [\"and\", [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"or\", [\"<=>\",... | {"split": "train", "index": 17915} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Penelope, Jack, Daniel, Aria, and Evelyn. \"Daniel is a fool,\" Penelope mentioned. Jack remarked, \"((Daniel is a fool) if and only if (if Aria is a fool ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 138, \"statements\": [[\"lying\", 2], [\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"l... | {"split": "train", "index": 17916} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Sofia, Riley, Liam, Amelia, and Mia. In a statement by Sofia: \"Mia is a fool or (Amelia is a fool if and only if Sofia is a sage) or ((if Riley is a fool ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 139, \"statements\": [[\"or\", [\"lying\", 4], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"lying\", 1]]], [\"or\", [\"and\", [\"te... | {"split": "train", "index": 17917} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Abigail, Isabella, Oliver, Elizabeth, and Mia. Abigail was heard saying, \"if (Elizabeth is a sinner or (Isabella is a sinner or Abigail is a saint o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 140, \"statements\": [[\"->\", [\"or\", [\"lying\", 3], [\"or\", [\"lying\", 1], [\"telling-truth\", 0], [\"lying\", 3]], [\"telling-truth\", 0], [\"and\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 3], [\"telling-tru... | {"split": "train", "index": 17918} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Isabella, Ella, Jackson, Penelope, and Aria. Isabella asserted: \"Jackson is a sage and Jackson is a fool and ((Aria is a sage if and only if Jackson is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 141, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"lying\", 4], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"lying... | {"split": "train", "index": 17919} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Ava, Elizabeth, Penelope, Sofia, and Samuel. In Ava's words: \"it is not the case that ((Ava is a hero and Penelope is a villain) or (Samuel is a her... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 142, \"statements\": [[\"not\", [\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]]]], [\"and\", [\"<=>\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"lying\", 0], [... | {"split": "train", "index": 17920} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lily, Scarlett, Daniel, Samuel, and Olivia. \"if (it is not the case that (Daniel is a knave or Samuel is a knave)) then ((Olivia is a knave if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 143, \"statements\": [[\"->\", [\"not\", [\"or\", [\"lying\", 2], [\"lying\", 3]]], [\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"not\", [\"lying\", 3]]]], [\"->\", [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying... | {"split": "train", "index": 17921} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Liam, Sebastian, Abigail, Logan, and Penelope. Liam was heard saying, \"Sebastian is an altruist\". Sebastian asserted: \"if (Liam is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 144, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"or\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 4]], [\"a... | {"split": "train", "index": 17922} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Riley, Alexander, Sebastian, Aria, and Mia. As Riley put it, \"((Riley is a devil) or (Mia is a devil if and only if Aria is a devil)) and Mia is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 145, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]], [\"telling-truth\", 4], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 2]]], [\"or\", [\"... | {"split": "train", "index": 17923} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Sebastian, Alexander, Ava, Henry, and Logan. Sebastian said, \"Henry is a fool and Henry is a sage.\" Alexander was heard saying, \"it is not the case that... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 146, \"statements\": [[\"and\", [\"lying\", 3], [\"telling-truth\", 3]], [\"not\", [\"or\", [\"not\", [\"lying\", 4]], [\"not\", [\"lying\", 2]], [\"or\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 1]]]], [\"<=>\", [\... | {"split": "train", "index": 17924} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: William, Daniel, Amelia, Scarlett, and Jackson. William told you that Amelia is a sinner. Daniel stated, \"(Daniel is a saint and (Jackson is a saint... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 147, \"statements\": [[\"lying\", 2], [\"or\", [\"and\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 0], [\"lying\", 4]], [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 3]... | {"split": "train", "index": 17925} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: James, Avery, Ella, Mason, and Amelia. James asserted: \"Amelia is a fool and ((James is a fool) or (if Avery is a fool then James is a sage) or (Avery is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 148, \"statements\": [[\"and\", [\"lying\", 4], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"lying\", 4], [\"not... | {"split": "train", "index": 17926} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Jacob, Harper, Jack, Henry, and Michael. \"Jack is an angel,\" Jacob mentioned. Harper said, \"(if (if Henry is an angel then Jack is a devil) then (Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 149, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 0]],... | {"split": "train", "index": 17927} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Jacob, Sofia, Abigail, Riley, and Daniel. Jacob stated, \"(it is not the case that (Jacob is a laggard)) and (it is not the case that (if Danie... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 150, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]]], [\"telling-truth\", 3], [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 4], [\"or... | {"split": "train", "index": 17928} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Aurora, Samuel, Henry, Owen, and James. Aurora asserted: \"Henry is a sinner if and only if ((Henry is a sinner and Samuel is a sinner and Aurora is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 151, \"statements\": [[\"<=>\", [\"lying\", 2], [\"<=>\", [\"and\", [\"lying\", 2], [\"lying\", 1], [\"telling-truth\", 0], [\"lying\", 3]], [\"lying\", 2]]], [\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0... | {"split": "train", "index": 17929} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Olivia, Amelia, Jack, Penelope, and James. \"if (if (Amelia is a sinner or James is a sinner or Penelope is a saint or Penelope is a sinner) then (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 152, \"statements\": [[\"->\", [\"->\", [\"or\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"telling-truth\", 2]], [\"not\", [\"and\", ... | {"split": "train", "index": 17930} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Logan, Riley, Scarlett, Lily, and Jacob. Logan said, \"Scarlett is a saint.\" Riley asserted: \"(if (Logan is a sinner and Jacob is a sinner and Rile... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 153, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"->\", [\"and\", [\"lying\", 0], [\"lying\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 0],... | {"split": "train", "index": 17931} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Emily, Elizabeth, Henry, Aria, and James. Emily said that (if (Elizabeth is an angel and James is an angel) then (if Aria is an angel then Henry is a d... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 154, \"statements\": [[\"or\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"lying\", 4]], [\"or\", [\"and\", [\"or\", [\"lying\", 0], [\"telling-trut... | {"split": "train", "index": 17932} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Olivia, William, Alexander, Benjamin, and Jacob. Olivia asserted: \"(if (William is a knight or Olivia is a knight) then (Olivia is a knight and Alex... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 155, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 3],... | {"split": "train", "index": 17933} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: James, Lily, Mia, William, and Joseph. James said that Lily is a sage. Lily remarked, \"if Joseph is a sage then ((William is a sage and Joseph is a sage) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 156, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"telling-truth\", 4], [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\", 0], [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 2]... | {"split": "train", "index": 17934} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Emily, Joseph, Lily, Abigail, and Mason. Emily asserted: \"(if (Lily is a pioneer and Mason is a laggard and Abigail is a laggard) then (Joseph... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 157, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 3]], [\"and\", [\"lying\", 1], [\"lying\", 2]]], [\"lying\", 1]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"or\", [\"lyi... | {"split": "train", "index": 17935} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Chloe, Elizabeth, Owen, Harper, and Scarlett. Chloe was heard saying, \"Scarlett is a laggard\". Elizabeth stated, \"Owen is a laggard\". \"if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 158, \"statements\": [[\"lying\", 4], [\"lying\", 2], [\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"lying\", 4]], [\"<=>\", [\"not\", [\"not\... | {"split": "train", "index": 17936} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Harper, Sofia, James, Aiden, and Mason. Harper was heard saying, \"(if (Sofia is a saint and Aiden is a sinner) then (Aiden is a sinner)) and (if (Ha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 159, \"statements\": [[\"and\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 1]], [\"<=>\", [\"or\", [\"lying\", 4], [\... | {"split": "train", "index": 17937} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Matthew, Jackson, Aria, Ava, and Riley. In a statement by Matthew: \"(if (Aria is a villain and Jackson is a villain) then (Ava is a villain)) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 160, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"lying\", 2], [\"lying\", 1]], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]]]], [\"not\", [\"or\", [\"and\", [\"lying\", 4]... | {"split": "train", "index": 17938} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Ava, Aiden, Matthew, Owen, and Noah. According to Ava, \"it is not the case that (if (Owen is a laggard and Owen is a pioneer and Aiden is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 161, \"statements\": [[\"not\", [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]]]], [\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"l... | {"split": "train", "index": 17939} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Jack, Henry, Abigail, Evelyn, and Ava. Jack noted, \"((if Jack is an altruist then Henry is an altruist) or (Ava is an altruist and Henry is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 162, \"statements\": [[\"or\", [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", ... | {"split": "train", "index": 17940} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Olivia, Ethan, Jackson, Harper, and Mason. According to Olivia, \"Ethan is a knight\". Ethan asserted: \"(if (Mason is a knave and Harper is a knave)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 163, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 3]], [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"or\", [\"and... | {"split": "train", "index": 17941} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Penelope, Benjamin, Luke, David, and Liam. In a statement by Penelope: \"if (if (Benjamin is a villain and Luke is a hero and Liam is a hero) then (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 164, \"statements\": [[\"->\", [\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]],... | {"split": "train", "index": 17942} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Avery, Abigail, Harper, Jack, and Aiden. According to Avery, \"((Aiden is an angel or Harper is a devil or Abigail is a devil) and (Jack is a devil and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 165, \"statements\": [[\"or\", [\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 1]], [\"and\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"->\"... | {"split": "train", "index": 17943} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Olivia, Liam, Jack, Penelope, and William. Olivia said that (if (Penelope is a villain) then (Liam is a hero and Penelope is a villain and Jack is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 166, \"statements\": [[\"and\", [\"->\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 2]]], [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", ... | {"split": "train", "index": 17944} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Jackson, Isabella, Harper, Jacob, and Chloe. In Jackson's words: \"Harper is a devil\". \"(if Jackson is a devil then Harper is a devil) or (if (Harper... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 167, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"or\", [\"->\", [\"lying\", 0], [\"lying\", 2]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"telling-truth\", 1]]... | {"split": "train", "index": 17945} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Ella, Jack, Mason, Oliver, and Aria. \"it is not the case that ((Oliver is a pioneer or Jack is a laggard) and (Ella is a pioneer or Mason is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 168, \"statements\": [[\"not\", [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"not\", [\"lying\", 1]]]], [\"or\", [\"not\", [\"n... | {"split": "train", "index": 17946} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Aurora, Aiden, Samuel, Jack, and Noah. \"if (if (if Aiden is a laggard then Samuel is a pioneer) then (Aiden is a pioneer)) then (it is not the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 169, \"statements\": [[\"->\", [\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"not\", [\"lying\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"... | {"split": "train", "index": 17947} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Ava, James, Owen, Aiden, and Benjamin. \"if ((Aiden is a saint or James is a saint or Aiden is a sinner) if and only if (Benjamin is a saint if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 170, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\... | {"split": "train", "index": 17948} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Scarlett, Sofia, Aurora, Isabella, and Amelia. Scarlett expressed that (if (Amelia is a sage) then (Isabella is a fool if and only if Aurora is a fool)) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 171, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]]], [\"<=>\", [\"->\", [\"not\", [\"lying\", 3]], [\"tel... | {"split": "train", "index": 17949} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Chloe, Harper, Aria, Grace, and Ella. \"Grace is an angel,\" Chloe declared. Harper remarked, \"Chloe is a devil\". In a statement by Aria: \"it is not... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 172, \"statements\": [[\"telling-truth\", 3], [\"lying\", 0], [\"not\", [\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]]]], [\"not\", [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]]], [\"... | {"split": "train", "index": 17950} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Jackson, Zoey, Riley, and Grace. William commented, \"if (if (Jackson is a knave or Riley is a knight or Zoey is a knave or Grace is a knave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 173, \"statements\": [[\"->\", [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]], [\"and\", [\"lying\", 3], [\"telling-truth\", 4], [\"not\", ... | {"split": "train", "index": 17951} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Joseph, Emily, Riley, Luke, and Jacob. As Joseph put it, \"((Emily is a knight and Riley is a knight and Jacob is a knight) and (Luke is a knave or R... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 174, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"lying\", 2], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"lying\... | {"split": "train", "index": 17952} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: William, Evelyn, Aria, Jack, and Lucas. In William's words: \"((Jack is a hero if and only if Aria is a villain) or Lucas is a villain) or (it is not... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 175, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"lying\", 4]], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 1]]]], [\"and\", [\"or... | {"split": "train", "index": 17953} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Sophia, Grace, David, Olivia, and Emily. Sophia was heard saying, \"it is not the case that ((Grace is a villain and Emily is a villain) or Emily is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 176, \"statements\": [[\"not\", [\"or\", [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]]], [\"not\", [\"or\", [\"->\", [\... | {"split": "train", "index": 17954} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: William, Michael, Luke, Jacob, and Aiden. \"if (if (Luke is a sage and Michael is a fool and Aiden is a fool and Jacob is a sage) then (Michael is a fool i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 177, \"statements\": [[\"->\", [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"lying\", 3], [\"->\", [\"telli... | {"split": "train", "index": 17955} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mason, Noah, William, Grace, and Samuel. Mason commented, \"if William is a knight then (it is not the case that (Grace is a knave or Samuel is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 178, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 2], [\"telling-truth\", 0]]]], [\"or\", [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\... | {"split": "train", "index": 17956} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Evelyn, Emma, Ava, Emily, and Isabella. \"if Emma is an altruist then (if (Emma is an altruist or Isabella is an egoist or Emma is an egoist or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 179, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"<=>\", [\"lying\", 4], [\... | {"split": "train", "index": 17957} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Victoria, Amelia, Ava, Jack, and Noah. In Victoria's words: \"Noah is a laggard and (it is not the case that (Amelia is a laggard if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 180, \"statements\": [[\"and\", [\"lying\", 4], [\"not\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]]], [\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 4]], [\"telling-truth\", 3], [\"or\", [\"lying\", 1], [\"lying\", 4]]... | {"split": "train", "index": 17958} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Henry, Benjamin, Emma, Lucas, and Sofia. Henry remarked, \"((Benjamin is a hero and Sofia is a hero and Henry is a hero) or Emma is a villain) or ((E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 181, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"lying\", 2]], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"lying\", 3], [\"->\", [... | {"split": "train", "index": 17959} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Joseph, Samuel, Sebastian, Mia, and Zoey. Joseph remarked, \"Zoey is a villain\". Samuel said, \"(Mia is a villain) and (Samuel is a hero or Joseph i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 182, \"statements\": [[\"lying\", 4], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"lying\", 4]], [\"->\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\... | {"split": "train", "index": 17960} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Noah, Penelope, Amelia, Jackson, and Emma. Noah was heard saying, \"Noah is a pioneer or ((Amelia is a pioneer and Penelope is a pioneer and No... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 183, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 1... | {"split": "train", "index": 17961} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Riley, Olivia, Luke, Jack, and Abigail. As Riley put it, \"((Abigail is a devil) or (Olivia is a devil) or (Jack is a devil or Abigail is a devil or Ol... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 184, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"t... | {"split": "train", "index": 17962} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Grace, Noah, Mia, Avery, and Alexander. In a statement by Grace: \"((Avery is a laggard if and only if Noah is a pioneer) or (Noah is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 185, \"statements\": [[\"and\", [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"telling-truth\", 4]]]... | {"split": "train", "index": 17963} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Mason, Owen, Jackson, Luke, and Jack. Mason said that it is not the case that (it is not the case that (if Owen is an altruist then Luke is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 186, \"statements\": [[\"not\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]]], [\"lying\", 3], [\"<=>\", [\"not\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]]], [\"or\", [\"telling-truth\", 4], [\"and\", [... | {"split": "train", "index": 17964} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Elizabeth, Benjamin, Lily, Matthew, and Oliver. Elizabeth remarked, \"if ((if Benjamin is a laggard then Oliver is a laggard) and (Elizabeth is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 187, \"statements\": [[\"->\", [\"and\", [\"->\", [\"lying\", 1], [\"lying\", 4]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"->\", [\"lying\", 2], [\"lying\", 1]]], [\"telling-truth\", 0]], [\"->\", [\"->\"... | {"split": "train", "index": 17965} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Emily, Lily, Mia, Michael, and Emma. \"((if Michael is a laggard then Emily is a pioneer) and (Lily is a pioneer or Emma is a laggard) and Emil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 188, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 1], [\"lying\", 4]], [\"telling-truth\", 0]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\... | {"split": "train", "index": 17966} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Henry, Aria, Michael, Penelope, and Mia. Henry asserted: \"(if Penelope is a villain then (Mia is a hero if and only if Aria is a villain)) and ((Pen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 189, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"telli... | {"split": "train", "index": 17967} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Samuel, David, Olivia, Sebastian, and Aria. Samuel told you that ((Aria is a hero if and only if Olivia is a hero) or (Olivia is a villain or Aria is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 190, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"lying\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [... | {"split": "train", "index": 17968} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: James, Mason, Sofia, Scarlett, and Jack. According to James, \"Mason is a villain\". Mason told you that (it is not the case that (Jack is a hero or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 191, \"statements\": [[\"lying\", 1], [\"and\", [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 0], [\"telling-truth\", 1]]], [\"telling-truth\", 3], [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"lying\", 3], [\"n... | {"split": "train", "index": 17969} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Olivia, Samuel, Sofia, William, and Alexander. Olivia expressed that William is a hero or (it is not the case that (Alexander is a hero or Sofia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 192, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 3]]], [\"lying\", 4]], [\"->\", [\"->\", [\"lying\", 4], [\"and\", [\"telling-truth\", 2], [\"lying\... | {"split": "train", "index": 17970} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Lucas, Daniel, Aiden, Emily, and Henry. Lucas asserted: \"((Lucas is a saint and Daniel is a saint and Aiden is a saint) if and only if (Lucas is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 193, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"<=>\", [\"->\", [\"lying\", 1], [\"telling-tru... | {"split": "train", "index": 17971} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Evelyn, Matthew, Ethan, Emma, and Henry. According to Evelyn, \"(Emma is an altruist if and only if (Ethan is an altruist and Matthew is an ego... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 194, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 2], [\"lying\", 1], [\"lying\", 4], [\"telling-truth\", 0]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], ... | {"split": "train", "index": 17972} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Sofia, Chloe, Scarlett, Jackson, and Penelope. Sofia said, \"(it is not the case that (Sofia is a saint if and only if Scarlett is a sinner)) or (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 195, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 1]], [\"or\", [\"lying\", 2], [\"lying\", 3]]]], [\"->\", [\"or\", [\"or\", [\"... | {"split": "train", "index": 17973} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Sofia, Elizabeth, Sebastian, Lily, and James. \"James is an egoist,\" Sofia claimed. Elizabeth said, \"Lily is an egoist.\" Sebastian said that... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 196, \"statements\": [[\"lying\", 4], [\"lying\", 3], [\"or\", [\"telling-truth\", 0], [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"telling-... | {"split": "train", "index": 17974} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Lucas, Joseph, Samuel, Oliver, and Aurora. \"((if Joseph is a devil then Aurora is an angel) or Samuel is an angel or (Joseph is an angel if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 197, \"statements\": [[\"and\", [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"te... | {"split": "train", "index": 17975} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Samuel, Amelia, Lucas, Liam, and David. Samuel said that ((Liam is a sage if and only if David is a fool) if and only if (Amelia is a fool or David is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 198, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"ly... | {"split": "train", "index": 17976} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Grace, Abigail, Noah, James, and Joseph. According to Grace, \"if ((Noah is a fool) and (James is a fool and Joseph is a fool and Noah is a sage)) then ((J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 199, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 1], [\"lying\", ... | {"split": "train", "index": 17977} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: David, Benjamin, Sebastian, Olivia, and Mia. David asserted: \"(if (Olivia is a knave and Olivia is a knight) then Sebastian is a knight) or (it is n... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 200, \"statements\": [[\"or\", [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3]], [\"telling-truth\", 2]], [\"not\", [\"not\", [\"lying\", 4]]], [\"or\", [\"or\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 4]... | {"split": "train", "index": 17978} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Harper, Benjamin, Daniel, Victoria, and Zoey. Harper said, \"Victoria is a villain.\" \"((Harper is a villain if and only if Benjamin is a hero) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 201, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"and\", [\"and\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"telling-tr... | {"split": "train", "index": 17979} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Elizabeth, Victoria, Avery, Jackson, and Owen. Elizabeth commented, \"it is not the case that (if (Avery is a saint and Victoria is a sinner and Jack... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 202, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1], [\"lying\", 3]], [\"lying\", 2]]], [\"lying\", 3], [\"<=>\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 3... | {"split": "train", "index": 17980} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Michael, Oliver, Emily, Evelyn, and Sophia. Michael told you that it is not the case that (it is not the case that (Evelyn is a villain or Emily is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 203, \"statements\": [[\"not\", [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"telling-truth\", 3]]]], [\"and\", [\"lying\", 0], [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 0]], [\"or\"... | {"split": "train", "index": 17981} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Mason, Henry, Matthew, Scarlett, and Zoey. \"((if Zoey is a devil then Scarlett is an angel) and (Matthew is a devil or Zoey is an angel or Scarlett is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 204, \"statements\": [[\"and\", [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 3]]], [\"or\", [\"lying\", 4], [\"or\", [\"telling-truth\", 0], [\"tellin... | {"split": "train", "index": 17982} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Amelia, Charlotte, William, Sofia, and Aurora. Amelia remarked, \"((Amelia is an angel and Aurora is an angel and Sofia is a devil and Sofia is an ange... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 205, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"lying\", 4... | {"split": "train", "index": 17983} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Emma, Daniel, Aiden, Liam, and Abigail. Emma told you that Abigail is a knight. Daniel told you that ((Daniel is a knight and Abigail is a knave) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 206, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1]], [\"and\", [\"lying\", 0], [\"telling-truth\", 1], [\"lying\"... | {"split": "train", "index": 17984} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: William, Abigail, Ava, Liam, and Sofia. William told you that ((Abigail is a fool if and only if Ava is a fool) or (Ava is a sage and Ava is a fool and Sof... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 207, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\... | {"split": "train", "index": 17985} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Joseph, Riley, Avery, Jacob, and Chloe. Joseph stated, \"it is not the case that ((if Riley is a laggard then Chloe is a pioneer) or Chloe is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 208, \"statements\": [[\"not\", [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"lying\", 4], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 0], [\"lying\", 1], [\"lying\", 2], [\"l... | {"split": "train", "index": 17986} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Michael, Grace, Chloe, Evelyn, and Joseph. \"(it is not the case that (Grace is a villain or Michael is a hero)) or (if (Chloe is a villain if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 209, \"statements\": [[\"or\", [\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"lying\", 2]], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]... | {"split": "train", "index": 17987} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Matthew, Alexander, Oliver, Riley, and Michael. Matthew stated, \"((if Matthew is a hero then Riley is a hero) and (Oliver is a villain if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 210, \"statements\": [[\"or\", [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"lying\", 3]]], [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 0]]]], [\"an... | {"split": "train", "index": 17988} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Grace, Charlotte, Amelia, Luke, and Mason. \"((if Grace is a sage then Luke is a fool) and (Luke is a fool) and (if Mason is a fool then Charlotte is a foo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 211, \"statements\": [[\"or\", [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 4], [\"lying\", 1]], [\"and\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth... | {"split": "train", "index": 17989} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Michael, Mia, Benjamin, Grace, and Aria. As Michael put it, \"Michael is a knight\". Mia noted, \"((Benjamin is a knight or Michael is a knave or Mia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 212, \"statements\": [[\"telling-truth\", 0], [\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 0], [\"telling-truth\", 1]], [\"telling-truth\", 4]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]]],... | {"split": "train", "index": 17990} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Emma, Abigail, Liam, Jack, and Avery. Emma said, \"(if (Emma is a pioneer and Avery is a laggard and Liam is a pioneer) then (Avery is a laggar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 213, \"statements\": [[\"or\", [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\... | {"split": "train", "index": 17991} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Isabella, Michael, Penelope, Noah, and Harper. Isabella said that (if (Noah is an altruist) then (Harper is an altruist if and only if Michael ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 214, \"statements\": [[\"and\", [\"->\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]]]], [\"lying\", 2], [\"not\", [\"tellin... | {"split": "train", "index": 17992} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Abigail, Zoey, Grace, Riley, and Victoria. Abigail expressed that it is not the case that (if Zoey is an egoist then Abigail is an altruist). Z... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 215, \"statements\": [[\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 2]]]... | {"split": "train", "index": 17993} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Henry, Aurora, Joseph, Ella, and Jack. Henry expressed that if ((Aurora is a fool and Ella is a sage and Aurora is a sage and Henry is a sage) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 216, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"lying\", 3]], [\"not\", [\"not\", [\"lying\", 2]]]], [\"and\", [\"<=>\", [\"lying\"... | {"split": "train", "index": 17994} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: William, Ethan, Aiden, Amelia, and Sofia. As William put it, \"it is not the case that (it is not the case that (Aiden is a devil and Amelia is a devil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 217, \"statements\": [[\"not\", [\"not\", [\"and\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 4]]]], [\"or\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"not\", [\"telling-truth\", 2]]]... | {"split": "train", "index": 17995} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aiden, Lily, Avery, Chloe, and Charlotte. Aiden told you that (Chloe is a knave if and only if Charlotte is a knight) or (it is not the case that (Li... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 218, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]]]], [\"->\", [\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 0]], [\"and\", [\"lying\"... | {"split": "train", "index": 17996} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Jack, Oliver, Noah, Lucas, and Daniel. In a statement by Jack: \"if ((Jack is a villain) and Lucas is a villain and (Lucas is a villain or Noah is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 219, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 3], [\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 4]], [\"not\", [\"lying\", 3]]], [\"->\", [\"not\", [\"ly... | {"split": "train", "index": 17997} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Oliver, Penelope, Harper, Ethan, and Evelyn. Oliver said, \"Evelyn is a sage.\" Penelope told you that ((Harper is a sage) if and only if (Ethan is a fool)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 220, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"<=>\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"and\", [\"telling-truth\", 4], [\"t... | {"split": "train", "index": 17998} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Emily, Henry, Joseph, Sebastian, and Lucas. Emily was heard saying, \"(it is not the case that (Sebastian is a pioneer if and only if Joseph is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 221, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"lying\", 1]], [\"or\", [\"lying\", 2], [\"lying\", 1]]], [\"telling-truth\", 1], [\"or\", [\"and\", [\"... | {"split": "train", "index": 17999} |
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