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 saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Lucas, Sofia, William, Lily, Luke, Oliver, Michael, Chloe, and Daniel. In a statement by Lucas: \"(if Michael is a saint then Sofia is a saint) and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 710, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 8]]], [\"telling-truth\", 3], [\"->\", [\"<=>\", [\"lying\", 5], [\"lying\", 4]], [... | {"split": "train", "index": 9600} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Luke, Aiden, Jack, Riley, Mason, Alexander, Grace, Henry, and Elizabeth. \"(Grace is a sinner if and only if Elizabeth is a sinner) if and only if (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 711, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 6], [\"lying\", 8]], [\"->\", [\"telling-truth\", 3], [\"lying\", 6]]], [\"<=>\", [\"lying\", 7], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"<=... | {"split": "train", "index": 9601} |
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: Henry, Noah, Emma, Joseph, Aria, Luke, Olivia, Samuel, and Oliver. Henry said that if Oliver is a fool then (if Aria is a fool then Luke is a sage). As Noa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 712, \"statements\": [[\"->\", [\"lying\", 8], [\"->\", [\"lying\", 4], [\"telling-truth\", 5]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 8]]], [\"<=>\", [\"->\", [\"lying\", 5], [\"lying\", 7]], [\"or\"... | {"split": "train", "index": 9602} |
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: Jacob, Aurora, Victoria, Olivia, Harper, Owen, Amelia, Evelyn, and Daniel. Jacob told you that if (Owen is a villain) then (Olivia is a villain or Da... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 713, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 5]], [\"or\", [\"lying\", 3], [\"telling-truth\", 8]]], [\"->\", [\"not\", [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 2], [\"lying\", 5]]], [\"and\", [\"... | {"split": "train", "index": 9603} |
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: Daniel, Joseph, Aurora, Avery, Noah, Logan, Sofia, Oliver, and Luke. \"Oliver is a saint,\" Daniel claimed. \"(Noah is a saint if and only if Avery i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 714, \"statements\": [[\"telling-truth\", 7], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"lying\", 4], [\"lying\", 8], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", ... | {"split": "train", "index": 9604} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Elizabeth, Victoria, Samuel, Noah, Logan, Avery, Alexander, Joseph, and Jackson. Elizabeth expressed that (Noah is a hero if and only if Alexander is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 715, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 6]], [\"telling-truth\", 8]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 5], [\"telling-truth... | {"split": "train", "index": 9605} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Jack, Lucas, Victoria, Scarlett, William, Samuel, Aurora, Zoey, and Joseph. \"Lucas is a sage,\" Jack declared. \"(Scarlett is a sage and Aurora is a fool)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 716, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\", 6]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"telling-truth\", 6], [\"lying\", 4], [\"or\", [\"or\", [\"telling... | {"split": "train", "index": 9606} |
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, Harper, Daniel, Joseph, Elizabeth, Isabella, Aiden, Sofia, and Riley. Olivia expressed that (Daniel is a knave if and only if Aiden is a knig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 717, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 6]], [\"->\", [\"lying\", 2], [\"lying\", 7]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"ly... | {"split": "train", "index": 9607} |
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: Aurora, Aiden, Evelyn, Riley, Emma, Lily, Mason, Michael, and Elizabeth. In Aurora's words: \"Mason is an altruist\". Aiden asserted: \"Emma is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 718, \"statements\": [[\"telling-truth\", 6], [\"telling-truth\", 4], [\"lying\", 8], [\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"telling-truth\", 6], [\"<=>\", [\"lying\", 1], [\"not\", [\"lying\", 8]]], ... | {"split": "train", "index": 9608} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Samuel, Mason, Lily, Henry, Ethan, Isabella, Jacob, Chloe, and Jack. Samuel told you that (Chloe is a saint if and only if Henry is a sinner) or (Chl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 719, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 3]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 7]... | {"split": "train", "index": 9609} |
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: Zoey, Joseph, Ava, Evelyn, Liam, Jacob, Sophia, Amelia, and Samuel. \"it is not the case that (Liam is a saint),\" Zoey declared. As Joseph put it, \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 720, \"statements\": [[\"not\", [\"not\", [\"lying\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"telling-truth\", 6]], [\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\"... | {"split": "train", "index": 9610} |
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: Alexander, Liam, Daniel, William, Amelia, Sebastian, Benjamin, Mason, and Evelyn. In a statement by Alexander: \"Daniel is a knight\". In a statement... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 721, \"statements\": [[\"telling-truth\", 2], [\"lying\", 5], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 5], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 5], [\"telli... | {"split": "train", "index": 9611} |
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: Alexander, Henry, David, Joseph, Elizabeth, Liam, Ava, Benjamin, and Abigail. \"if (Benjamin is an angel if and only if David is a devil) then (Henry i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 722, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 2]], [\"<=>\", [\"lying\", 1], [\"lying\", 8]]], [\"and\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 3]], [\"not\", [\"lying\", 3]], [\"lying\", ... | {"split": "train", "index": 9612} |
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: Aiden, Matthew, Penelope, Emily, Logan, Lily, Evelyn, Elizabeth, and Riley. Aiden said, \"if (if Logan is a laggard then Evelyn is a laggard) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 723, \"statements\": [[\"->\", [\"->\", [\"lying\", 4], [\"lying\", 6]], [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 5]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 0]], [\"not\", [\"telli... | {"split": "train", "index": 9613} |
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: Sophia, Logan, Owen, Emily, Benjamin, Daniel, Grace, Noah, and Elizabeth. \"Emily is a sage or (if Noah is a sage then Sophia is a sage) or (Grace is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 724, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 8], [\"lying\", 7]]], [\"telling-truth\", 8], [\"<=>\", [\"l... | {"split": "train", "index": 9614} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Abigail, Sophia, Sofia, Logan, Elizabeth, Michael, Aiden, Daniel, and Henry. In Abigail's words: \"if (Daniel is an angel and Logan is a devil) then (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 725, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 7], [\"lying\", 3]], [\"->\", [\"lying\", 5], [\"telling-truth\", 7]]], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"telling-... | {"split": "train", "index": 9615} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Sophia, Samuel, Elizabeth, Chloe, Emma, Matthew, Penelope, Jacob, and Charlotte. Sophia told you that (Emma is a hero and Samuel is a villain and Chl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 726, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 5], [\"lying\", 1]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 7]], [\"telling... | {"split": "train", "index": 9616} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: William, Aria, Lily, Sebastian, Owen, Luke, Charlotte, Samuel, and Ella. \"(if Samuel is a devil then Sebastian is a devil) and (if Ella is a devil the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 727, \"statements\": [[\"and\", [\"->\", [\"lying\", 7], [\"lying\", 3]], [\"->\", [\"lying\", 8], [\"lying\", 6]]], [\"<=>\", [\"lying\", 2], [\"or\", [\"telling-truth\", 2], [\"lying\", 7], [\"lying\", 2]]], [\"or\", [\"lyin... | {"split": "train", "index": 9617} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Emily, Sophia, Olivia, Luke, Grace, Mia, Henry, Aria, and Ella. \"(Luke is a saint or Mia is a saint or Olivia is a saint) or (Grace is a sinner if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 728, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 5], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 6]]], [\"... | {"split": "train", "index": 9618} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Mia, Elizabeth, Harper, Victoria, Lily, Isabella, Lucas, Luke, and Emily. Mia said that Lily is a pioneer. \"Victoria is a laggard,\" Elizabeth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 729, \"statements\": [[\"telling-truth\", 4], [\"lying\", 3], [\"not\", [\"->\", [\"lying\", 8], [\"telling-truth\", 7]]], [\"and\", [\"lying\", 7], [\"or\", [\"lying\", 1], [\"telling-truth\", 8], [\"lying\", 7]], [\"and\", [... | {"split": "train", "index": 9619} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Aria, Daniel, Aiden, David, Isabella, Ella, Mason, Henry, and Chloe. Aria remarked, \"(Aiden is an angel or Henry is a devil) if and only if (Aiden is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 730, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 7]], [\"not\", [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 6]], [\"lying\", 7]], [\"or\", [\"lying\", 5], [\"and\", [\"... | {"split": "train", "index": 9620} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Joseph, Harper, David, Aiden, Jack, Lily, Daniel, Penelope, and Ethan. According to Joseph, \"(David is an angel or Harper is an angel or Lily is a dev... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 731, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 5]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 4]]], [\"<=>\", [\"lying\", 4], [\"and\", [\"lying\", 5], [\"lying\... | {"split": "train", "index": 9621} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Noah, Evelyn, Alexander, Aiden, Aria, Jackson, Matthew, Isabella, and Michael. Noah commented, \"if (Aria is a sinner) then Evelyn is a sinner\". Eve... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 732, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 1]], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"and\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"->\", [\"lying\", 0],... | {"split": "train", "index": 9622} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Aurora, David, Owen, Liam, Matthew, Michael, Riley, Scarlett, and Lily. Aurora was heard saying, \"(David is a fool if and only if Riley is a fool) and (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 733, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 6]], [\"->\", [\"lying\", 2], [\"lying\", 5]], [\"<=>\", [\"lying\", 7], [\"lying\", 4]]], [\"not\", [\"or\", [\"lying\", 2], [\"lying\", 0]]], [\"->\", [\"... | {"split": "train", "index": 9623} |
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, Emma, Matthew, Olivia, Emily, Abigail, Jack, Henry, and Avery. Mia noted, \"it is not the case that (Mia is an egoist)\". In a statement b... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 734, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 6]], [\"->\", [\"lying\", 8], [\"telling-truth\", 6]]], [\"a... | {"split": "train", "index": 9624} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Isabella, Ava, Mia, Lucas, Logan, Benjamin, Lily, Elizabeth, and Olivia. Isabella remarked, \"it is not the case that (Olivia is an angel if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 735, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 0]]], [\"and\", [\"telling-truth\", 5], [\"lying\", 8], [\"telling-truth\", 2]], [\"not\", [\"->\", [\"lying\", 0], [\"lying\", 5]]], [\"or\... | {"split": "train", "index": 9625} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Ella, Alexander, Elizabeth, Emma, Olivia, Avery, Chloe, Oliver, and Scarlett. Ella was heard saying, \"if Avery is a devil then (Chloe is an angel and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 736, \"statements\": [[\"->\", [\"lying\", 5], [\"and\", [\"telling-truth\", 6], [\"lying\", 7], [\"lying\", 8]]], [\"lying\", 5], [\"<=>\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 6]], [\"or\", [\"lying\", 7], [\"tellin... | {"split": "train", "index": 9626} |
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: Sofia, Penelope, Joseph, Alexander, Matthew, Ethan, Zoey, Samuel, and Mason. Sofia told you that (Joseph is a fool or Samuel is a sage) or (if Zoey is a fo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 737, \"statements\": [[\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 7]], [\"->\", [\"lying\", 6], [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"lying\", 7], [\"lying\", 2],... | {"split": "train", "index": 9627} |
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, Henry, Harper, Olivia, Joseph, Owen, Oliver, Lily, and Riley. \"(Owen is a knave if and only if Riley is a knight) if and only if (Riley is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 738, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 8], [\"lying\", 4], [\"telling-truth\", 5]]], [\"not\", [\"lying\", 7]], [\"->\", [\"<=>\", [\"telling-truth\", 2]... | {"split": "train", "index": 9628} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Michael, Jackson, Samuel, Ella, William, Henry, Elizabeth, Luke, and Matthew. Michael noted, \"it is not the case that (Samuel is an altruist a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 739, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 7], [\"lying\", 5]]], [\"->\", [\"lying\", 3], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"telling-truth\", 5], [\"not\", ... | {"split": "train", "index": 9629} |
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: Aiden, Logan, Olivia, Mason, Ethan, Isabella, Penelope, David, and Grace. \"(Logan is a knight and Ethan is a knave) and (Aiden is a knight or Grace ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 740, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 8]], [\"not\", [\"lying\", 7]]], [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2... | {"split": "train", "index": 9630} |
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: Jack, Matthew, Penelope, Sophia, Aiden, Noah, Amelia, David, and Michael. Jack stated, \"(Jack is an altruist if and only if Sophia is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 741, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 8], [\"lying\", 2]]], [\"or\", [\"not\", [\"lying\", 4]], [\"lying\", 7]], [\"or\", [\"<=>\", [\"lying\", 3], [\"t... | {"split": "train", "index": 9631} |
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, Sophia, Evelyn, Luke, Owen, Victoria, Isabella, Chloe, and Mia. Emma said, \"it is not the case that (Owen is a pioneer and Chloe is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 742, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 7]]], [\"or\", [\"not\", [\"lying\", 6]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"telling-truth\", 8], [\"<=>\", [\"->\", [\"... | {"split": "train", "index": 9632} |
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: Aurora, Evelyn, Avery, Emma, Liam, Joseph, Michael, Olivia, and Mason. Aurora stated, \"if (Avery is an egoist and Aurora is an altruist and Ol... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 743, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 2], [\"lying\", 1]]], [\"or\", [\"not\", [\"lying\", 0]], [\"not\", [\"lying\", 8]]], [\"telling-t... | {"split": "train", "index": 9633} |
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: Harper, Isabella, Jack, Abigail, Jackson, Amelia, Luke, Emily, and Evelyn. \"(if Jack is a laggard then Harper is a pioneer) if and only if (Ev... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 744, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 7]]], [\"and\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 8]], [\"->\", [\"... | {"split": "train", "index": 9634} |
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, Liam, Scarlett, Henry, Abigail, Penelope, Ethan, Benjamin, and Jack. Chloe was heard saying, \"(Henry is a hero if and only if Abigail is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 745, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 8]]], [\"and\", [\"<=>\", [\"lying\", 4], [\"t... | {"split": "train", "index": 9635} |
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, Daniel, James, Sebastian, Sophia, Matthew, Jacob, Ella, and Aurora. Samuel was heard saying, \"it is not the case that (if Daniel is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 746, \"statements\": [[\"not\", [\"->\", [\"lying\", 1], [\"lying\", 5]]], [\"or\", [\"->\", [\"lying\", 6], [\"lying\", 4]], [\"or\", [\"lying\", 8], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth... | {"split": "train", "index": 9636} |
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, Matthew, Noah, Logan, Charlotte, Mia, Jacob, Harper, and Lucas. Samuel told you that (Logan is an altruist) or (Samuel is an altruist o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 747, \"statements\": [[\"or\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 6]]], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"tellin... | {"split": "train", "index": 9637} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: David, Michael, Lily, Jackson, Riley, Ava, Mason, Ethan, and William. As David put it, \"if (if William is a laggard then Riley is a laggard) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 748, \"statements\": [[\"->\", [\"->\", [\"lying\", 8], [\"lying\", 4]], [\"and\", [\"telling-truth\", 4], [\"lying\", 1], [\"lying\", 7]]], [\"lying\", 6], [\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [... | {"split": "train", "index": 9638} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Jackson, James, Evelyn, David, Matthew, Joseph, Ella, Sophia, and Aiden. Jackson stated, \"if (Joseph is an egoist and Ella is an egoist) then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 749, \"statements\": [[\"->\", [\"and\", [\"lying\", 5], [\"lying\", 6]], [\"->\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"lying\", 3], [\"lying\", 7], [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling... | {"split": "train", "index": 9639} |
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, Jackson, Grace, Owen, William, Penelope, Abigail, Lily, and Ethan. \"Grace is a sage,\" Joseph claimed. \"Lily is a fool,\" Jackson claimed. In a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 750, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"telling-truth\", 7]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 0]], [\"and\", [\"lying\", 5], [\"telling-truth\", 1]]], [\"->\", [\"or\",... | {"split": "train", "index": 9640} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Liam, Jack, Jacob, Olivia, Penelope, Samuel, Grace, Luke, and Benjamin. Liam noted, \"(Jack is a hero) if and only if (Grace is a villain if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 751, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"lying\", 6], [\"lying\", 8]]], [\"and\", [\"not\", [\"lying\", 5]], [\"or\", [\"lying\", 8], [\"lying\", 7]], [\"->\", [\"lying\", 6], [\"lying\", 4]]], [... | {"split": "train", "index": 9641} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Owen, Penelope, Victoria, Jack, Jacob, Evelyn, Scarlett, James, and Daniel. As Owen put it, \"(James is a devil) if and only if (Penelope is an angel a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 752, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 1], [\"lying\", 7]]], [\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 7], [\"lying\", 2]], [\"not\", [\"telling-truth\", 0... | {"split": "train", "index": 9642} |
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, Luke, Victoria, Jackson, Emma, Amelia, Aria, Henry, and Mia. \"Emma is a laggard,\" Oliver declared. Luke remarked, \"if (if Jackson is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 753, \"statements\": [[\"lying\", 4], [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 7]], [\"and\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"telling-truth\", 1], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\",... | {"split": "train", "index": 9643} |
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, Ava, Ella, Lily, Harper, David, Aria, Isabella, and Benjamin. Mason remarked, \"(Benjamin is an egoist if and only if David is an egoist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 754, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 8], [\"lying\", 5]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"lying\", 0], [\"lying\... | {"split": "train", "index": 9644} |
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, Michael, Abigail, Scarlett, Lucas, Matthew, Sophia, Sofia, and Joseph. Avery asserted: \"(Abigail is a knight and Lucas is a knight) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 755, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]]], [\"telling-truth\", 3], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]]... | {"split": "train", "index": 9645} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: William, Ethan, Ava, Isabella, Penelope, Oliver, Luke, James, and Elizabeth. William said that Elizabeth is a pioneer. According to Ethan, \"(E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 756, \"statements\": [[\"telling-truth\", 8], [\"or\", [\"not\", [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 7]]], [\"and\", [\"and\", [\"telling-truth\", 5], [\"lying\", 6]], [\"->\", [\"telling-tru... | {"split": "train", "index": 9646} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Luke, Ava, Oliver, Jackson, Liam, Penelope, Jacob, Scarlett, and David. Luke said that Jacob is a hero or (Penelope is a villain or Jackson is a vill... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 757, \"statements\": [[\"or\", [\"telling-truth\", 6], [\"or\", [\"lying\", 5], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 8]]], [\"telling-truth\", 4], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [... | {"split": "train", "index": 9647} |
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: Oliver, Penelope, Lucas, Jackson, Avery, Sofia, Charlotte, Henry, and Liam. Oliver asserted: \"if (if Lucas is a fool then Liam is a sage) then (Charlotte ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 758, \"statements\": [[\"->\", [\"->\", [\"lying\", 2], [\"telling-truth\", 8]], [\"not\", [\"lying\", 6]]], [\"lying\", 3], [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 1], [... | {"split": "train", "index": 9648} |
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: Chloe, Isabella, Aurora, James, Lucas, Samuel, Victoria, Daniel, and Noah. As Chloe put it, \"(Samuel is a laggard or Noah is a pioneer) and (V... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 759, \"statements\": [[\"and\", [\"or\", [\"lying\", 5], [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 6], [\"lying\", 3], [\"lying\", 4]]], [\"<=>\", [\"not\", [\"lyi... | {"split": "train", "index": 9649} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Elizabeth, Abigail, Amelia, Ava, Michael, Sebastian, Lucas, Oliver, and Liam. In a statement by Elizabeth: \"(Oliver is a knave if and only if Abigai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 760, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 3], [\"lying\", 5]], [\"telling-truth\", 0]], [\"not\", [\"->\", [\"lying\", 4], [\"lying\", 0]]], [\"<=>\", [\"->\... | {"split": "train", "index": 9650} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Ava, Zoey, Emma, Liam, Luke, James, Penelope, Matthew, and Chloe. \"(Liam is a saint and Matthew is a saint) if and only if (Luke is a saint and Zoey... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 761, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"lying\", 7]]], [\"lying\", 2], [\"telling-truth\", 4], [\"not\", [\"or\", ... | {"split": "train", "index": 9651} |
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, Emma, Sophia, Daniel, Chloe, Elizabeth, Olivia, and Jack. Victoria said, \"if (Sophia is a laggard and Chloe is a pioneer) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 762, \"statements\": [[\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 0], [\"lying\", 8], [\"telling-truth\", 5]]], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [... | {"split": "train", "index": 9652} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Elizabeth, Matthew, Scarlett, Sophia, William, Sofia, Grace, Jack, and Owen. Elizabeth said, \"(Sophia is a sage) and (if Sofia is a fool then Owen is a fo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 763, \"statements\": [[\"and\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 5], [\"lying\", 8]]], [\"<=>\", [\"and\", [\"telling-truth\", 5], [\"lying\", 2], [\"telling-truth\", 6]], [\"telling-truth\", 4]], [\"or\", [\"<=... | {"split": "train", "index": 9653} |
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, Isabella, Liam, William, Mason, Emma, Benjamin, Jack, and Abigail. In a statement by Grace: \"William is a knave\". According to Isabella, \"W... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 764, \"statements\": [[\"lying\", 3], [\"telling-truth\", 3], [\"and\", [\"and\", [\"lying\", 8], [\"lying\", 3]], [\"->\", [\"telling-truth\", 1], [\"lying\", 8]], [\"telling-truth\", 4]], [\"<=>\", [\"not\", [\"telling-truth... | {"split": "train", "index": 9654} |
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, Evelyn, Abigail, James, Victoria, Noah, Michael, Riley, and Benjamin. \"it is not the case that (Noah is a knave)\" - Scarlett. \"if Noah i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 765, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 5]]], [\"->\", [\"lying\", 5], [\"or\", [\"telling-truth\", 4], [\"lying\", 5], [\"lying\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3],... | {"split": "train", "index": 9655} |
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, Owen, Jacob, Daniel, Michael, Isabella, Chloe, Grace, and Aria. Emma told you that Daniel is a hero if and only if (Emma is a hero and Chloe is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 766, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 0], [\"lying\", 6], [\"telling-truth\", 1]]], [\"lying\", 2], [\"<=>\", [\"lying\", 6], [\"not\", [\"lying\", 8]]], [\"or\", [\"and\", [\"ly... | {"split": "train", "index": 9656} |
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, Isabella, Oliver, Liam, Zoey, Aiden, Luke, Noah, and Chloe. Harper remarked, \"Noah is an altruist\". Isabella told you that Zoey is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 767, \"statements\": [[\"telling-truth\", 7], [\"or\", [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"and\", [\"lying\", 4], [\"lying\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [... | {"split": "train", "index": 9657} |
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: Isabella, Evelyn, Oliver, Lucas, Ella, Charlotte, Matthew, Daniel, and Henry. \"(Ella is a fool) and (if Ella is a sage then Charlotte is a sage) and (Char... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 768, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"not\", [\"lying\", 5]]], [\"->\", [\"not\", [\"lying\", 0]], [\"telling-truth\", 8]], [\"not\", [\... | {"split": "train", "index": 9658} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Emma, Elizabeth, David, Alexander, Noah, Sebastian, Avery, Ella, and Benjamin. Emma was heard saying, \"(if David is a devil then Noah is an angel) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 769, \"statements\": [[\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 4]], [\"or\", [\"lying\", 7], [\"lying\", 8], [\"lying\", 4]]], [\"and\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 2]], [\"<=>\", [\"telling-tru... | {"split": "train", "index": 9659} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Logan, Sofia, Penelope, Joseph, Daniel, Harper, Samuel, Liam, and Zoey. Logan noted, \"Daniel is a knave\". Sofia asserted: \"Sofia is a knight\". Pe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 770, \"statements\": [[\"lying\", 4], [\"telling-truth\", 1], [\"and\", [\"->\", [\"telling-truth\", 8], [\"lying\", 4]], [\"telling-truth\", 3]], [\"not\", [\"->\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\"... | {"split": "train", "index": 9660} |
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: Oliver, Michael, Grace, Mia, Matthew, Elizabeth, Ava, Harper, and William. In a statement by Oliver: \"(Harper is an altruist or Mia is an altr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 771, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 3], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 5]]], [\"telling-truth\", 1], [\"or\", [\"->\", [\"lying\", 1], [\... | {"split": "train", "index": 9661} |
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, Daniel, Aiden, Noah, Owen, James, Sofia, William, and Lily. \"if (Lily is an altruist and Owen is an egoist and James is an altruist) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 772, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 8], [\"lying\", 4], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 8]]], [\"lyi... | {"split": "train", "index": 9662} |
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, Benjamin, Isabella, Liam, Penelope, Lily, Matthew, David, and Oliver. \"(Lily is a hero or Isabella is a villain or Matthew is a villain) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 773, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 5], [\"lying\", 2], [\"lying\", 6]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"lying\", 7], [\"lying\", 5]], [\"not\", [\"lying\", 8]... | {"split": "train", "index": 9663} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Samuel, Matthew, Liam, Riley, Victoria, Henry, Sofia, Aiden, and Aurora. Samuel said, \"Riley is a knight and (Matthew is a knight and Riley is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 774, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 6]]], [\"lying\", 2], [\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"not\", [\"lying\", 5]]], [\"an... | {"split": "train", "index": 9664} |
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: Ava, Ella, Henry, Scarlett, Emily, Harper, Jack, Sebastian, and Ethan. \"Emily is a fool,\" Ava mentioned. According to Ella, \"if (Henry is a sage) then (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 775, \"statements\": [[\"lying\", 4], [\"->\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 2]]], [\"not\", [\"and\", [\"lying\", 8], [\"telling-truth\", 6], [\"telling-truth\", 4]]], [\"or\"... | {"split": "train", "index": 9665} |
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: Logan, Sophia, Matthew, Harper, Samuel, Scarlett, Jacob, Chloe, and Luke. Logan noted, \"(Jacob is a saint if and only if Matthew is a saint) if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 776, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 1], [\"lying\", 7]]], [\"<=>\", [\"telling-truth\", 8], [\"and\", [\"telling-truth\", 2], [\"telling-truth... | {"split": "train", "index": 9666} |
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: Elizabeth, Lily, Emma, Lucas, Victoria, Oliver, Harper, Joseph, and Henry. As Elizabeth put it, \"(Lily is a devil if and only if Victoria is a devil) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 777, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"telling-truth\", 8], [\"or\", [\"lying\", 6], [\"telling-truth\", 8], [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\"... | {"split": "train", "index": 9667} |
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, Daniel, Owen, Sophia, Victoria, Lily, Elizabeth, Harper, and Ava. Noah noted, \"it is not the case that (Victoria is a hero and Elizabeth is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 778, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 6], [\"telling-truth\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 6], [\"lying\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth... | {"split": "train", "index": 9668} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Isabella, Oliver, Lucas, Chloe, Lily, Abigail, Michael, Emily, and Owen. Isabella said, \"(Oliver is a sinner if and only if Abigail is a sinner) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 779, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 1], [\"lying\", 5]], [\"->\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"not\"... | {"split": "train", "index": 9669} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: William, Alexander, Sebastian, Victoria, Daniel, Isabella, Emily, Mia, and Jack. William stated, \"it is not the case that (if Victoria is a hero the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 780, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 6]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"telling-truth\", 7]]], [\"lying\", 4], [\"and\", [\"or\", [\"lying\", 2],... | {"split": "train", "index": 9670} |
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, Luke, Abigail, Ella, Zoey, Charlotte, Victoria, Lily, and Logan. Oliver expressed that if Victoria is a knight then (Charlotte is a knave and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 781, \"statements\": [[\"->\", [\"telling-truth\", 6], [\"and\", [\"lying\", 5], [\"telling-truth\", 6]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"or\", [\"lying\", 8], [\"lying\", 5]]], [\"or\", [\"or\"... | {"split": "train", "index": 9671} |
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: Sofia, Liam, Mason, Scarlett, Owen, Lily, Noah, Chloe, and Sebastian. According to Sofia, \"if (Lily is a knave and Owen is a knave) then (Lily is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 782, \"statements\": [[\"->\", [\"and\", [\"lying\", 5], [\"lying\", 4]], [\"and\", [\"telling-truth\", 5], [\"lying\", 3], [\"lying\", 6]]], [\"lying\", 7], [\"telling-truth\", 8], [\"lying\", 8], [\"->\", [\"<=>\", [\"tellin... | {"split": "train", "index": 9672} |
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, Olivia, Ella, Charlotte, Riley, Emily, Michael, Ethan, and Victoria. In Alexander's words: \"(Ella is a fool and Victoria is a fool and Ethan is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 783, \"statements\": [[\"or\", [\"and\", [\"lying\", 2], [\"lying\", 8], [\"telling-truth\", 7]], [\"not\", [\"lying\", 6]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 8]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"tel... | {"split": "train", "index": 9673} |
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, Emma, Noah, Joseph, Evelyn, Harper, Matthew, Ethan, and Aurora. In Aiden's words: \"it is not the case that (Noah is a fool)\". \"if (Ethan is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 784, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"and\", [\"no... | {"split": "train", "index": 9674} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Evelyn, Riley, Chloe, Avery, Aurora, Jack, Logan, Owen, and Amelia. Evelyn commented, \"(Avery is a devil if and only if Aurora is a devil) and (Jack i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 785, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"telling-truth\", 5], [\"lying\", 7]], [\"or\", [\"telling-truth\", 8], [\"lying\", 2], [\"lying\", 5]]], [\"<=>\", [\"telling-truth\", 6], ... | {"split": "train", "index": 9675} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Aria, Owen, Penelope, Samuel, Benjamin, Elizabeth, Olivia, Mia, and William. As Aria put it, \"Mia is a saint\". Owen asserted: \"Samuel is a sinner\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 786, \"statements\": [[\"not\", [\"lying\", 7]], [\"lying\", 3], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 0]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 5]]... | {"split": "train", "index": 9676} |
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, Ethan, Avery, Joseph, Matthew, Benjamin, Jackson, Noah, and Owen. Aiden commented, \"Joseph is an altruist or (Ethan is an egoist if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 787, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"telling-truth\", 1]], [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"and\", [\"lying\", 2], [\"lying\", 6]]],... | {"split": "train", "index": 9677} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Logan, Penelope, Mia, Avery, Elizabeth, James, Isabella, Charlotte, and Samuel. Logan said, \"if (James is a hero and Avery is a villain and Samuel i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 788, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 5], [\"lying\", 3], [\"lying\", 8]], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 0], [\"not\", [\"lying\", 5]], [\"->\", [\"lying\", 8], [\"lying\", 2]]], ... | {"split": "train", "index": 9678} |
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: Joseph, Riley, Benjamin, Ethan, Sebastian, Lucas, James, Harper, and Michael. As Joseph put it, \"it is not the case that (Riley is a laggard i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 789, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 5], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 0],... | {"split": "train", "index": 9679} |
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, Aiden, Harper, Lily, Ethan, Chloe, David, Scarlett, and Amelia. As Victoria put it, \"(Scarlett is a laggard) if and only if (Scarlet... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 790, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 7]], [\"not\", [\"lying\", 7]]], [\"or\", [\"or\", [\"lying\", 8], [\"lying\", 3], [\"telling-truth\", 3]], [\"->\", [\"lying\", 8], [\"telling-truth\", 2]], [\"and... | {"split": "train", "index": 9680} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Lily, Daniel, Jack, Olivia, Sofia, Liam, Samuel, Abigail, and Sophia. \"it is not the case that (Sofia is a sinner or Sophia is a sinner or Abigail i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 791, \"statements\": [[\"not\", [\"or\", [\"lying\", 4], [\"lying\", 8], [\"telling-truth\", 7]]], [\"telling-truth\", 8], [\"lying\", 0], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 2]], [\"and\", [\"telling-truth\... | {"split": "train", "index": 9681} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Chloe, Aiden, Joseph, Isabella, Zoey, Abigail, Benjamin, Matthew, and Penelope. Chloe was heard saying, \"it is not the case that (Matthew is a knave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 792, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 7]]], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 6], [\"lying\", 8]]], [\"or\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 0]], [\"->\", [\"... | {"split": "train", "index": 9682} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Ella, Henry, Joseph, Jack, Elizabeth, Jackson, Daniel, Amelia, and Samuel. \"if (if Jackson is a saint then Daniel is a saint) then Henry is a saint,... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 793, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [... | {"split": "train", "index": 9683} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Aurora, Joseph, Abigail, Scarlett, Logan, Sebastian, Victoria, Mia, and Jack. \"Joseph is a sinner,\" Aurora claimed. Joseph remarked, \"(Jack is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 794, \"statements\": [[\"lying\", 1], [\"and\", [\"and\", [\"lying\", 8], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"lying\", 1]], [\"not\... | {"split": "train", "index": 9684} |
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: Grace, Henry, Joseph, Aurora, Scarlett, Noah, Evelyn, Avery, and Logan. Grace noted, \"Aurora is a laggard\". \"if (if Noah is a laggard then A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 795, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"->\", [\"->\", [\"lying\", 5], [\"telling-truth\", 7]], [\"and\", [\"lying\", 3], [\"telling-truth\", 6], [\"lying\", 5]]], [\"->\", [\"->\", [\"lying\", 3], [\"telli... | {"split": "train", "index": 9685} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Luke, Owen, Mia, Olivia, Jacob, Ella, Henry, Matthew, and Ava. \"(Owen is a fool if and only if Matthew is a fool) or (Owen is a sage or Luke is a sage or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 796, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 1], [\"lying\", 7]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 8]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 8]]], [\"->\", [\"<=>\", [\"tell... | {"split": "train", "index": 9686} |
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, Ava, Chloe, Jacob, Matthew, Abigail, Aurora, and Samuel. \"(Abigail is a knight if and only if Ava is a knave) if and only if (Abigail i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 797, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 2]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"and\", [\"telling-truth\", 8], [\"<=>\", [\"lying\", 4],... | {"split": "train", "index": 9687} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Evelyn, Emily, Penelope, Ella, Aurora, Abigail, Jack, Sebastian, and Scarlett. According to Evelyn, \"if (Aurora is a knight and Sebastian is a knigh... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 798, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 7], [\"telling-truth\", 3]], [\"lying\", 4]], [\"not\", [\"not\", [\"telling-truth\", 5]]], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"... | {"split": "train", "index": 9688} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Aurora, Sebastian, Mia, Emma, Mason, Sophia, Lily, Henry, and Harper. According to Aurora, \"it is not the case that (Harper is a sage if and only if Sophi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 799, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 5]]], [\"lying\", 4], [\"->\", [\"->\", [\"telling-truth\", 7], [\"lying\", 5]], [\"->\", [\"telling-truth\", 1], [\"lying\", 5]]], [\"not\", [\"and... | {"split": "train", "index": 9689} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Luke, Matthew, Elizabeth, Ava, Daniel, Ethan, Benjamin, Aria, and Owen. Luke stated, \"(Owen is a sinner) and (if Ethan is a sinner then Benjamin is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 800, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 8]], [\"->\", [\"lying\", 5], [\"lying\", 6]]], [\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"lying\", 7]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\",... | {"split": "train", "index": 9690} |
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: Aurora, David, Lily, Michael, Avery, Logan, Aiden, Samuel, and Olivia. Aurora noted, \"Avery is a pioneer\". \"Michael is a laggard,\" David de... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 801, \"statements\": [[\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 3], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 6]]], [\"and\", [\"... | {"split": "train", "index": 9691} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Riley, Abigail, Sophia, Ava, Penelope, Aiden, Jack, Charlotte, and Jackson. As Riley put it, \"Jackson is a villain or (Ava is a villain if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 802, \"statements\": [[\"or\", [\"lying\", 8], [\"<=>\", [\"lying\", 3], [\"lying\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"lying\", 0], [\"telling-truth\", 7]]], [\"lying\", 4], [\"and\", [\"or\", [\"ly... | {"split": "train", "index": 9692} |
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: Ava, Aiden, Jackson, James, Luke, Joseph, Evelyn, Chloe, and Elizabeth. Ava remarked, \"Joseph is a knave\". Aiden commented, \"it is not the case th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 803, \"statements\": [[\"lying\", 5], [\"not\", [\"not\", [\"telling-truth\", 7]]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 6]], [\"->\", [\"lying\", 0], [\"lying\", 3]], [\"<=>\", [\"lying\", 8], [\"lying\", 3... | {"split": "train", "index": 9693} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Liam, Alexander, Oliver, Jacob, Sebastian, Joseph, Samuel, Evelyn, and William. \"Joseph is a villain\" - Liam. \"Evelyn is a villain if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 804, \"statements\": [[\"lying\", 5], [\"<=>\", [\"lying\", 7], [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 7]]], [\"->\", [\"->\", [\"lying\", 5], [\"lying\", 3]], [\"and\", [\"telling-truth\", 3], [... | {"split": "train", "index": 9694} |
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: Chloe, Penelope, Jackson, Lily, James, Charlotte, Lucas, Ava, and Avery. Chloe said, \"if Lily is an angel then (Jackson is a devil if and only if Jack... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 805, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"lying\", 2], [\"and\", [\"not\", [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"and\... | {"split": "train", "index": 9695} |
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, David, Jack, Victoria, Isabella, Lucas, Logan, Henry, and James. Noah stated, \"if (James is an angel) then (if Isabella is a devil then James is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 806, \"statements\": [[\"->\", [\"not\", [\"lying\", 8]], [\"->\", [\"lying\", 4], [\"lying\", 8]]], [\"->\", [\"<=>\", [\"lying\", 5], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"->\", [\"a... | {"split": "train", "index": 9696} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Noah, Oliver, Sebastian, Joseph, Elizabeth, Emma, Alexander, Isabella, and Logan. In Noah's words: \"(Sebastian is a saint or Joseph is a sinner or L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 807, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"not\", [\"and\", [\"lying\", 0], [\"lying\", 8], [\"telling-truth\"... | {"split": "train", "index": 9697} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Noah, David, Aria, Abigail, Penelope, Sebastian, Jackson, Ethan, and Grace. In Noah's words: \"it is not the case that (if Penelope is a pionee... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 808, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"lying\",... | {"split": "train", "index": 9698} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Luke, Ethan, Zoey, Scarlett, Alexander, Emma, Victoria, Ella, and Jackson. Luke stated, \"it is not the case that (Jackson is a saint)\". Ethan asser... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 809, \"statements\": [[\"not\", [\"not\", [\"lying\", 8]]], [\"->\", [\"lying\", 4], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"and\", [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 6], [\"lying\", 8]], [\"or\", [... | {"split": "train", "index": 9699} |
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