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: Noah, Aiden, Henry, Ava, and Abigail. In a statement by Noah: \"Ava is a sage\". Aiden asserted: \"Noah is a fool or ((Ava is a sage) or (Ava is a fool if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 44, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"lying\", 0], [\"or\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 3], [\"lying\", 0]]]], [\"not\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\", ... | {"split": "train", "index": 15600} |
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: Chloe, Sophia, Riley, Michael, and Liam. Chloe said that Michael is a knave if and only if (it is not the case that (Michael is a knight and Michael ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 45, \"statements\": [[\"<=>\", [\"lying\", 3], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]]]], [\"not\", [\"not\", [\"not\", [\"telling-truth\", 0]]]], [\"lying\", 1], [\"not\", [\"not\", [\"lying\", 4]]], [\"or... | {"split": "train", "index": 15601} |
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: Logan, Noah, Aria, Lucas, and Owen. Logan told you that if (Lucas is a devil and (Noah is an angel if and only if Owen is an angel)) then (it is not th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 46, \"statements\": [[\"->\", [\"and\", [\"lying\", 3], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 4]]]], [\"<=>\", [\"or\", [\"or\", [\"t... | {"split": "train", "index": 15602} |
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: Jacob, Sofia, Joseph, David, and Lily. In Jacob's words: \"if (if Joseph is an altruist then (David is an altruist if and only if Joseph is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 47, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"and\", [\"telling-truth\", 2], [\"lying\... | {"split": "train", "index": 15603} |
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, Sofia, Matthew, Penelope, and Lily. Sebastian expressed that ((Sebastian is a fool) or (Sofia is a fool or Sofia is a sage or Matthew is a fool)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 48, \"statements\": [[\"or\", [\"or\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"lying\", 1], [\"telling-truth\", 1], [\"lying\", 2]], [\"not\", [\"lying\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3]]... | {"split": "train", "index": 15604} |
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, Aurora, Evelyn, Emma, and Joseph. Chloe remarked, \"Aurora is a laggard or ((Emma is a laggard if and only if Evelyn is a laggard) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 49, \"statements\": [[\"or\", [\"lying\", 1], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"->\", [\"lying\", 2], [\"or\", [\"lying\", 3], [\"telling-truth\"... | {"split": "train", "index": 15605} |
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: Isabella, Lucas, David, Henry, and Daniel. \"David is a knight,\" Isabella declared. In Lucas's words: \"if (if (David is a knave and Henry is a knig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 50, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\"... | {"split": "train", "index": 15606} |
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: Joseph, Isabella, Elizabeth, Lucas, and Jackson. According to Joseph, \"it is not the case that (if (Lucas is a devil if and only if Joseph is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 51, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]]], [\"telling-truth\", 1], [\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"t... | {"split": "train", "index": 15607} |
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: Ethan, Abigail, Emily, Noah, and Matthew. Ethan asserted: \"Abigail is a knight\". In a statement by Abigail: \"if (if (if Matthew is a knight then A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 52, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"not\", [\"lying\", 0]], [\"and\", [\"lying\", 2], [\"lying\", 3]... | {"split": "train", "index": 15608} |
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: Charlotte, Joseph, Olivia, Jacob, and Luke. Charlotte remarked, \"it is not the case that ((Olivia is a knave) and Joseph is a knight)\". Joseph rema... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 53, \"statements\": [[\"not\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"not\", [\"lying\", 0]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"not\", [\"or\", [\"telling-trut... | {"split": "train", "index": 15609} |
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, Elizabeth, Sebastian, Amelia, and Henry. According to Jacob, \"if ((Elizabeth is an angel if and only if Henry is an angel) if and only if (if J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 54, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 1]]]], [\... | {"split": "train", "index": 15610} |
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: Sophia, Luke, Aurora, Samuel, and Emily. \"Aurora is a saint or Emily is a saint,\" Sophia mentioned. As Luke put it, \"Samuel is a sinner and (if Au... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 55, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\", [\"lying\", 3], [\"->\", [\"lying\", 2], [\"->\", [\"lying\", 3], [\"lying\", 0]]]], [\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 0],... | {"split": "train", "index": 15611} |
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, Ava, Noah, Sofia, and Liam. Joseph expressed that if ((Liam is a pioneer or Sofia is a laggard or Noah is a pioneer) and Sofia is a pio... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 56, \"statements\": [[\"->\", [\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 2]], [\"telling-truth\", 3], [\"and\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"not\", [\"telling-truth\", 3]]], ... | {"split": "train", "index": 15612} |
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, Ava, Sophia, Liam, and Emily. Ethan told you that ((Emily is a sage or Emily is a fool or Ethan is a sage) if and only if (Sophia is a fool and Ava ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 57, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 0]], [\"and\", [\"lying\", 2], [\"lying\", 1], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"telling-truth\", 3], [... | {"split": "train", "index": 15613} |
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: Victoria, Luke, Amelia, David, and Aiden. \"((Amelia is a knave if and only if David is a knave) if and only if (Aiden is a knave if and only if Aide... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 58, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"telling-truth\", 4], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"and... | {"split": "train", "index": 15614} |
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: Ethan, Luke, David, Aria, and William. Ethan expressed that it is not the case that ((Luke is a pioneer) and (William is a pioneer)). Luke said... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 59, \"statements\": [[\"not\", [\"and\", [\"not\", [\"lying\", 1]], [\"not\", [\"lying\", 4]]]], [\"->\", [\"not\", [\"not\", [\"lying\", 4]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"->\", [\"telling-tr... | {"split": "train", "index": 15615} |
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: Isabella, Amelia, Ella, Aiden, and Aurora. According to Isabella, \"if ((if Amelia is a pioneer then Aiden is a laggard) if and only if (Ella i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 60, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]], [\"telling-truth\", 3]], [\"->\", [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]... | {"split": "train", "index": 15616} |
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: Logan, Evelyn, Jacob, Abigail, and Emily. \"if ((if Evelyn is a hero then Abigail is a hero) and (Evelyn is a hero if and only if Jacob is a hero)) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 61, \"statements\": [[\"->\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"telling-truth\", 4]], [\"and\", [\"<=>\", [\"or\", [\"telling-tru... | {"split": "train", "index": 15617} |
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, Lily, Jacob, Amelia, and Avery. Isabella was heard saying, \"((if Avery is an altruist then Lily is an altruist) if and only if (Aver... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 62, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"telling-tr... | {"split": "train", "index": 15618} |
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: Amelia, Charlotte, Liam, David, and Lily. Amelia told you that Charlotte is a knave. Charlotte said that if David is a knave then (if Lily is a knave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 63, \"statements\": [[\"lying\", 1], [\"->\", [\"lying\", 3], [\"->\", [\"lying\", 4], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]]], [\"<=>\", [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth... | {"split": "train", "index": 15619} |
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: Zoey, Samuel, Benjamin, Penelope, and Evelyn. Zoey stated, \"if (it is not the case that (Penelope is a villain and Evelyn is a hero and Samuel is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 64, \"statements\": [[\"->\", [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4], [\"lying\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]]... | {"split": "train", "index": 15620} |
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: Logan, Evelyn, David, Jack, and Lucas. Logan noted, \"(it is not the case that (David is a hero)) and ((David is a villain if and only if Lucas is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 65, \"statements\": [[\"and\", [\"not\", [\"not\", [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"not\", [\"lying\", 3]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]]]], [\"<=>\", [\"telling-... | {"split": "train", "index": 15621} |
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, Aria, David, Aiden, and Mason. Elizabeth told you that if ((Aria is a pioneer and Elizabeth is a pioneer and Aiden is a laggard) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 66, \"statements\": [[\"->\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"and\", [\"lying\", 4], [\"or\", [\"lying\", 2], [\"lying\... | {"split": "train", "index": 15622} |
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: Noah, Emma, Isabella, Mia, and Sophia. Noah told you that if ((if Emma is a sinner then Emma is a saint) or (Emma is a saint) or Emma is a sinner) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 67, \"statements\": [[\"->\", [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"not\", [\"lying\", 1]], [\"lying\", 1]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1]], [\"and\", [\"lying\", 4], [\"lying... | {"split": "train", "index": 15623} |
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: Sofia, Alexander, Liam, Isabella, and James. Sofia was heard saying, \"(it is not the case that (James is a knave and Liam is a knave and Liam is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 68, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"lying\", 1]]]], [\"or... | {"split": "train", "index": 15624} |
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, Scarlett, Grace, Samuel, and Emma. As Ethan put it, \"it is not the case that ((Samuel is a fool if and only if Scarlett is a fool) or (if Scarlett ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 69, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]]]], [\"not\", [\"and\", [\"not\", [\... | {"split": "train", "index": 15625} |
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: Evelyn, Elizabeth, Daniel, Ava, and Zoey. In Evelyn's words: \"Ava is an angel\". Elizabeth commented, \"(if (Zoey is a devil or Ava is an angel) then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 70, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], ... | {"split": "train", "index": 15626} |
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, Liam, Grace, Olivia, and Isabella. Sophia asserted: \"it is not the case that ((if Grace is a hero then Olivia is a villain) if and only if O... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 71, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]], [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 0], [\"ly... | {"split": "train", "index": 15627} |
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, Olivia, Avery, Jack, and Aurora. Liam said, \"it is not the case that (if (Jack is an altruist if and only if Avery is an altruist) then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 72, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 0]]]], [\"not\", [\"->\", [\"->\", [\"telling-truth\", 0]... | {"split": "train", "index": 15628} |
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: Ava, Avery, Lily, James, and Lucas. Ava said that if (if (if Lucas is a knight then James is a knave) then (Avery is a knight or Lily is a knave or L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 73, \"statements\": [[\"->\", [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3], [\... | {"split": "train", "index": 15629} |
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: Chloe, Avery, Emily, Benjamin, and Jack. Chloe remarked, \"Benjamin is a sage\". Avery told you that (Jack is a sage and (Emily is a sage and Avery is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 74, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 0]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"t... | {"split": "train", "index": 15630} |
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: Oliver, Zoey, Ella, Harper, and Amelia. According to Oliver, \"(it is not the case that (Harper is a devil and Amelia is a devil and Ella is an angel))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 75, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-tr... | {"split": "train", "index": 15631} |
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: James, Lily, Mia, Aurora, and Penelope. James remarked, \"Penelope is a laggard if and only if James is a pioneer\". \"Mia is a pioneer\" - Lil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 76, \"statements\": [[\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"telling-truth\", 2], [\"->\", [\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 1]], [\"<=>\", [\"lying\", 1], [\"lying\", 0]]], [\"and\", [\"<=>\", [\"t... | {"split": "train", "index": 15632} |
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: Harper, Elizabeth, Oliver, Aiden, and Riley. Harper stated, \"Aiden is a devil\". In a statement by Elizabeth: \"((Elizabeth is an angel or Harper is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 77, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"or\", [\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 0], [\"telling-... | {"split": "train", "index": 15633} |
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: Isabella, Sofia, Luke, James, and Lucas. Isabella said that if Lucas is a saint then ((James is a sinner if and only if Sofia is a saint) or (Luke is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 78, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]]]], [\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]... | {"split": "train", "index": 15634} |
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: Ethan, Zoey, Mia, Elizabeth, and Lucas. Ethan said, \"(it is not the case that (Lucas is a pioneer or Zoey is a laggard)) or ((if Zoey is a lag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 79, \"statements\": [[\"or\", [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"and\", [\"and\", [\"... | {"split": "train", "index": 15635} |
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: Aiden, Harper, Victoria, Lucas, and James. Aiden told you that ((Victoria is an altruist and James is an egoist) and (Aiden is an altruist or L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 80, \"statements\": [[\"or\", [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"telling-tru... | {"split": "train", "index": 15636} |
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: Benjamin, Charlotte, Mason, Grace, and Ella. Benjamin asserted: \"(Grace is a devil or (Mason is an angel if and only if Grace is a devil)) or (Charlot... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 81, \"statements\": [[\"or\", [\"or\", [\"lying\", 3], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth... | {"split": "train", "index": 15637} |
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: Daniel, Sophia, Aiden, Benjamin, and Aria. \"Benjamin is a knight and Aiden is a knight and (if (Sophia is a knave or Aria is a knight) then (Aiden i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 82, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]]], [\"not\", [\"<=>\", [\"and\... | {"split": "train", "index": 15638} |
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, Jacob, Noah, Jackson, and Samuel. Abigail noted, \"((Jackson is a saint if and only if Samuel is a saint) or (Abigail is a saint and Jackson... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 83, \"statements\": [[\"and\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 2]], [\"lying\", 3]], [\"and\", [\"and\", [\"telling-trut... | {"split": "train", "index": 15639} |
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: Alexander, Sofia, Scarlett, Noah, and Logan. \"Sofia is a villain and ((Noah is a hero and Sofia is a villain) if and only if Noah is a villain) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 84, \"statements\": [[\"and\", [\"lying\", 1], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 1]], [\"lying\", 3]], [\"and\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 0], [\"and\", [\"lying\", 4], [\"telling-tru... | {"split": "train", "index": 15640} |
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: Riley, William, Owen, Benjamin, and Harper. Riley remarked, \"it is not the case that (Owen is a knave or Riley is a knight)\". According to William,... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 85, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"or\", [\"telling-truth\", 2], [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"or\", [\"lyi... | {"split": "train", "index": 15641} |
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, Alexander, Charlotte, Ella, and Samuel. Mia commented, \"if (if (Charlotte is a sage) then (Ella is a sage if and only if Charlotte is a sage)) then (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 86, \"statements\": [[\"->\", [\"->\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"tell... | {"split": "train", "index": 15642} |
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: Charlotte, Riley, Luke, Aiden, and Sebastian. Charlotte said, \"(Aiden is a hero and (Riley is a villain and Luke is a villain)) and ((Sebastian is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 87, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 3], [\"and\", [\"lying\", 1], [\"lying\", 2]]], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"or\", [\"lying\", 4], [\"lying... | {"split": "train", "index": 15643} |
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, Michael, Ella, Lucas, and Emily. Henry remarked, \"if (if (Lucas is a hero or Michael is a hero or Ella is a villain) then (if Michael is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 88, \"statements\": [[\"->\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 2]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 3]], [... | {"split": "train", "index": 15644} |
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: Emma, Oliver, Penelope, Samuel, and Aria. Emma said, \"(Samuel is an egoist) if and only if ((Penelope is an egoist or Aria is an altruist or E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 89, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"telling-truth\"... | {"split": "train", "index": 15645} |
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: Mia, Emma, Penelope, Evelyn, and Abigail. \"Penelope is an angel\" - Mia. \"(it is not the case that (if Evelyn is a devil then Evelyn is an angel)) an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 90, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"lying\", 0], [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"or\",... | {"split": "train", "index": 15646} |
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, Jackson, Owen, Oliver, and James. Riley said that (if (Owen is a devil and Owen is an angel) then (Oliver is an angel)) and (if (James is an ang... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 91, \"statements\": [[\"and\", [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]], [\"and\", [\"lying\", 2], [\"telling-truth\", 2]... | {"split": "train", "index": 15647} |
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, Daniel, Owen, and Mason. In Riley's words: \"it is not the case that ((Mason is a devil and Olivia is an angel) and (Daniel is an angel ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 92, \"statements\": [[\"not\", [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]]]], [\"->\", [\"telling-truth\", 0], [\"or\", [\"or\", [\"lying\", 0], [\"lyi... | {"split": "train", "index": 15648} |
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, Zoey, Michael, Emily, and Aria. \"if Aria is an angel then (Emily is a devil or (Zoey is a devil)),\" Riley claimed. As Zoey put it, \"if ((Mich... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 93, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"or\", [\"lying\", 3], [\"not\", [\"telling-truth\", 1]]]], [\"->\", [\"or\", [\"not\", [\"lying\", 2]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"<=... | {"split": "train", "index": 15649} |
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, Oliver, Logan, Samuel, and Jack. Mason was heard saying, \"it is not the case that (if (Jack is a knight if and only if Logan is a knight) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 94, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]]], [\"->\", [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3... | {"split": "train", "index": 15650} |
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, Owen, Amelia, David, and Ava. As Isabella put it, \"((David is a sage if and only if Owen is a fool) if and only if (Amelia is a sage and Amelia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 95, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"and\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 1]... | {"split": "train", "index": 15651} |
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: Riley, Aria, Joseph, Avery, and Logan. Riley expressed that if ((Joseph is a pioneer or Joseph is a laggard) if and only if (Riley is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 96, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"telling-tru... | {"split": "train", "index": 15652} |
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: Aurora, Luke, Alexander, Amelia, and Harper. \"it is not the case that ((Alexander is a villain) or (Amelia is a villain or Harper is a villain) or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 97, \"statements\": [[\"not\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 0]]]], [\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\"... | {"split": "train", "index": 15653} |
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: Sophia, Jackson, Oliver, Riley, and Chloe. Sophia noted, \"(it is not the case that (Riley is an altruist)) or ((Sophia is an altruist if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 98, \"statements\": [[\"or\", [\"not\", [\"not\", [\"lying\", 3]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"lying\", 3], [\"and\", [\"telling-truth\", 2], [\"lying\", 1], [\"lying\", 4]]]], [\"an... | {"split": "train", "index": 15654} |
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: Lily, Henry, James, Isabella, and Mason. Lily said that Mason is a sinner. Henry was heard saying, \"if ((Isabella is a saint) and Henry is a saint a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 99, \"statements\": [[\"lying\", 4], [\"->\", [\"and\", [\"not\", [\"lying\", 3]], [\"telling-truth\", 1], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]], [\"<=>\... | {"split": "train", "index": 15655} |
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: Ella, Michael, Oliver, Ethan, and Joseph. Ella said that if Joseph is a sinner then (if (Oliver is a saint or Ella is a saint or Joseph is a sinner) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 100, \"statements\": [[\"->\", [\"lying\", 4], [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 4]], [\"lying\", 4]]], [\"or\", [\"not\", [\"->\", [\"lying\", 0], [\"lying\", 4]]], [\"<=>\", [\"lyi... | {"split": "train", "index": 15656} |
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, Henry, Scarlett, Zoey, and Lily. \"((Scarlett is a sinner if and only if Zoey is a sinner) and (if Scarlett is a saint then Zoey is a saint) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 101, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"lying\", 2]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2],... | {"split": "train", "index": 15657} |
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: Ella, Ethan, Emma, Elizabeth, and Sophia. According to Ella, \"if Ella is a sage then ((Emma is a fool and Ethan is a sage and Sophia is a fool) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 102, \"statements\": [[\"->\", [\"telling-truth\", 0], [\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1], [\"lying\", 4]], [\"->\", [\"telling-truth\", 0], [\"lying\", 1]]]], [\"->\", [\"->\", [\"lying\", 3], [\"not\"... | {"split": "train", "index": 15658} |
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: Henry, Charlotte, Sofia, Grace, and Elizabeth. Henry expressed that ((Charlotte is a devil) or (Henry is an angel and Sofia is a devil and Elizabeth is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 103, \"statements\": [[\"or\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"lying\", 2], [\"lying\", 4]], [\"->\", [\"lying\", 2], [\"lying\", 4]]], [\"->\", [\"lying\", 3], [\"not\", [\"lyi... | {"split": "train", "index": 15659} |
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: Ella, Michael, Lucas, Benjamin, and Charlotte. \"Charlotte is a knight if and only if ((Benjamin is a knight if and only if Lucas is a knave) if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 104, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"lying\", 2]]], [\"->\", [\"lying\", 3], [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"telling-truth\", 2... | {"split": "train", "index": 15660} |
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: Ella, Lily, Ethan, Harper, and William. In a statement by Ella: \"it is not the case that ((if Harper is a saint then William is a saint) or (Ethan i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 105, \"statements\": [[\"not\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"and\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 3]]]], [\"<=>\", [\"not\", [\"or\", [\"lying\", 0], [\"telling-tr... | {"split": "train", "index": 15661} |
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: Lucas, Isabella, Matthew, Luke, and Samuel. Lucas asserted: \"Luke is a pioneer\". As Isabella put it, \"if (Samuel is a pioneer) then (if (Isa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 106, \"statements\": [[\"not\", [\"lying\", 3]], [\"->\", [\"not\", [\"lying\", 4]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]]]], [\"->\", [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth... | {"split": "train", "index": 15662} |
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: Henry, Victoria, William, Owen, and Logan. In Henry's words: \"Victoria is an egoist\". \"if (Logan is an egoist) then Henry is an altruist,\" ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 107, \"statements\": [[\"lying\", 1], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 0]], [\"lying\", 4], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"not\", [\"<=>\", [\"lying\", 2],... | {"split": "train", "index": 15663} |
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: Scarlett, Owen, Ava, Mason, and Grace. Scarlett remarked, \"Owen is a devil\". Owen asserted: \"Ava is an angel\". Ava told you that if ((Mason is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 108, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 2], [\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"and\", [\"lying\", 0], [\"telling-truth\"... | {"split": "train", "index": 15664} |
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: Zoey, Riley, Grace, David, and Aiden. Zoey stated, \"(Riley is an angel) if and only if ((if Zoey is an angel then Grace is an angel) if and only if (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 109, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]]], [\"not\", [\"<=>\", [\"not\", [\"telling-truth\... | {"split": "train", "index": 15665} |
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: Jackson, Liam, Sebastian, Lucas, and Ella. Jackson commented, \"((Sebastian is an egoist and Ella is an altruist) or (Lucas is an altruist and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 110, \"statements\": [[\"and\", [\"or\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"or\", [\"or\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"lying\", 1], [\"tel... | {"split": "train", "index": 15666} |
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: Evelyn, Riley, Liam, Victoria, and Lucas. Evelyn told you that (Lucas is a villain if and only if (Lucas is a hero and Lucas is a villain and Liam is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 111, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 4], [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 2]]], [\"lying\", 3]], [\"not\", [\"<=>\", [\"lying\", 4], [\"not\", [\"lying\", 4]]]], [\"or\", [... | {"split": "train", "index": 15667} |
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: Elizabeth, Ella, Charlotte, Matthew, and Aurora. Elizabeth noted, \"(if (Charlotte is a knave or Charlotte is a knight) then (Matthew is a knight or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 112, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 4]]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-tru... | {"split": "train", "index": 15668} |
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: Sophia, David, Daniel, Owen, and Jacob. Sophia stated, \"if Owen is a laggard then ((if Daniel is a pioneer then Owen is a pioneer) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 113, \"statements\": [[\"->\", [\"lying\", 3], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"->\", [\"lying\", 1], [\"lying\", 2]]]], [\"or\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"telling-tru... | {"split": "train", "index": 15669} |
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: Owen, Aurora, Grace, Jack, and Olivia. \"(Olivia is a knave) or ((Jack is a knave and Olivia is a knight and Aurora is a knight) if and only if (Jack... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 114, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"and\", [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 3]]], [\"or\"... | {"split": "train", "index": 15670} |
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: Ethan, Sofia, Emily, Jack, and Alexander. According to Ethan, \"Alexander is a saint\". \"if (it is not the case that (if Alexander is a saint then A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 115, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 4], [\"lying... | {"split": "train", "index": 15671} |
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: Amelia, Emma, Jacob, Benjamin, and Elizabeth. \"(Emma is a laggard) and (Emma is a laggard if and only if (Emma is a pioneer and Emma is a lagg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 116, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 1], [\"and\", [\"telling-truth\", 1], [\"lying\", 1], [\"lying\", 3]]], [\"or\", [\"and\", [\"lying\", 1], [\"telling-truth\", 2]], [\"or... | {"split": "train", "index": 15672} |
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: Isabella, Samuel, Avery, Harper, and Oliver. Isabella was heard saying, \"it is not the case that ((if Harper is a villain then Harper is a hero) if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 117, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 3]]]], [\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 3... | {"split": "train", "index": 15673} |
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: Logan, William, Jacob, Aurora, and Noah. Logan said that (it is not the case that (Jacob is a hero and Noah is a hero)) or (Noah is a villain or (Jac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 118, \"statements\": [[\"or\", [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"or\", [\"lying\", 4], [\"and\", [\"telling-truth\", 2], [\"lying\", 1], [\"lying\", 3]]], [\"lying\", 1]], [\"or\", [\"->\... | {"split": "train", "index": 15674} |
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: Benjamin, Abigail, Matthew, Charlotte, and Sofia. \"(if (Matthew is a saint and Abigail is a sinner and Sofia is a saint) then (Abigail is a saint)) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 119, \"statements\": [[\"or\", [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 4]], [\"not\", [\"lying\", 1]]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [\"lyi... | {"split": "train", "index": 15675} |
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: Ethan, James, Emma, Evelyn, and Henry. Ethan expressed that it is not the case that ((Ethan is a knight and Emma is a knight and Emma is a knave) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 120, \"statements\": [[\"not\", [\"or\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"lying\", 2]], [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 2]]]], [\"not\", [\"not\", [\"not\", [\"telling-truth... | {"split": "train", "index": 15676} |
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: Matthew, Victoria, Jack, Ella, and Ava. \"if (it is not the case that (Ella is a knave if and only if Jack is a knight)) then ((Ava is a knave or Jac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 121, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"telling-trut... | {"split": "train", "index": 15677} |
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: Chloe, Alexander, Ava, Evelyn, and Olivia. \"Alexander is a fool,\" Chloe declared. Alexander stated, \"(Olivia is a fool and (Olivia is a sage and Olivia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 122, \"statements\": [[\"lying\", 1], [\"and\", [\"and\", [\"lying\", 4], [\"and\", [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\... | {"split": "train", "index": 15678} |
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: David, Elizabeth, Aurora, Lily, and Ethan. David told you that (it is not the case that (Aurora is a fool and David is a sage and Lily is a sage)) and (it ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 123, \"statements\": [[\"and\", [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"->\", [\"and\", [\"lying\", 2], [\"telling-... | {"split": "train", "index": 15679} |
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: Matthew, Avery, Jack, Ethan, and Evelyn. According to Matthew, \"Ethan is a knave\". Avery noted, \"((if Evelyn is a knight then Matthew is a knave) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 124, \"statements\": [[\"lying\", 3], [\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"lying\", 0]], [\"<=>\", [\"or\", [\"lying\", 1], [\"and... | {"split": "train", "index": 15680} |
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: Charlotte, Benjamin, Penelope, Zoey, and Jackson. \"Benjamin is a saint,\" Charlotte claimed. Benjamin was heard saying, \"(if (Benjamin is a sinner)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 125, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"->\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 3]]], [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 2], [\"te... | {"split": "train", "index": 15681} |
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: Emily, Logan, Aria, Elizabeth, and Matthew. In Emily's words: \"Elizabeth is an egoist\". Logan asserted: \"if Emily is an altruist then (it is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 126, \"statements\": [[\"lying\", 3], [\"->\", [\"telling-truth\", 0], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 0], [\"telling-truth\", 2]]]], [\"or\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth... | {"split": "train", "index": 15682} |
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: Liam, Abigail, Aria, Elizabeth, and Daniel. \"((Abigail is a villain if and only if Abigail is a hero) or Abigail is a villain) or ((Daniel is a hero... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 127, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"lying\", 1]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"telling-truth\", 4], [\"not\", [\"lying\", 3]]]... | {"split": "train", "index": 15683} |
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: Avery, Charlotte, Henry, Benjamin, and Logan. Avery stated, \"it is not the case that ((Logan is a saint if and only if Henry is a sinner) and (if Av... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 128, \"statements\": [[\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 0], [\"lying\", 4]]]], [\"->\"... | {"split": "train", "index": 15684} |
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, Henry, Mia, Isabella, and Evelyn. Liam stated, \"((Mia is an egoist) and (Isabella is an altruist and Mia is an egoist and Mia is an altr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 129, \"statements\": [[\"and\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2], [\"telling-truth... | {"split": "train", "index": 15685} |
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: Lily, Sophia, Michael, Emily, and Amelia. Lily said that Amelia is a sage. Sophia commented, \"((Michael is a sage) and (Emily is a fool)) if and only if E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 130, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"and\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"telling-truth\", 3]], [\"<=>\", [\"<=>\", [\"and\", [\"lying\", 0], [\"lying\", 3], [\"lying\"... | {"split": "train", "index": 15686} |
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: Alexander, Elizabeth, Chloe, Jackson, and Olivia. According to Alexander, \"if Alexander is an altruist then (Elizabeth is an egoist)\". In Eli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 131, \"statements\": [[\"->\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 1]]], [\"telling-truth\", 3], [\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"not\"... | {"split": "train", "index": 15687} |
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: Isabella, Lucas, Aiden, Aurora, and Oliver. Isabella commented, \"Aiden is a hero\". Lucas said, \"if (Lucas is a hero or Isabella is a villain) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 132, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 0]], [\"->\", [\"not\", [\"lying\", 0]], [\"->\", [\"lying\", 2], [\"lying\", 4]]]], [\"not\", [\"->\", [\"->\", [\"lying\", 3... | {"split": "train", "index": 15688} |
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: Amelia, Owen, Jacob, Aria, and Sophia. Amelia stated, \"(if Amelia is an altruist then (Aria is an egoist)) and (Sophia is an egoist) and (if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 133, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"telling-truth\", 4]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 2]]]], [\"->\", ... | {"split": "train", "index": 15689} |
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: Ethan, Harper, Henry, Aurora, and Charlotte. Ethan said that it is not the case that ((Aurora is an angel) or (if Harper is a devil then Aurora is a de... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 134, \"statements\": [[\"not\", [\"or\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 1], [\"lying\", 3]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-truth\", 0]]]], [\"<=>\", [\"<=>\", [\"<=>\", [\... | {"split": "train", "index": 15690} |
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: Lucas, Liam, Amelia, Ethan, and Elizabeth. In Lucas's words: \"if ((Elizabeth is a knave) if and only if (Amelia is a knave)) then (it is not the cas... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 135, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 2]]]], [\"not\", [\"and\", [\"or\",... | {"split": "train", "index": 15691} |
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: Daniel, Mia, Ella, Jack, and Sophia. Daniel noted, \"it is not the case that ((if Ella is a saint then Sophia is a saint) or (Ella is a saint and Jac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 136, \"statements\": [[\"not\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 0]]]], [\"<=>\", [\"lying\", 4], [\"not\", [\"lying\", 0]... | {"split": "train", "index": 15692} |
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: Henry, Logan, Ella, William, and Ethan. Henry said, \"if (Ethan is a knight and (Ethan is a knave if and only if Henry is a knight)) then William is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 137, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 4], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"telling-truth\", 3]], [\"not\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 0]], [\"or\", [\"ly... | {"split": "train", "index": 15693} |
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, Harper, Emily, Aria, and Zoey. According to William, \"Zoey is a knight\". Harper said, \"(it is not the case that (Harper is a knave)) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 138, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"lying\", 4]], [\"not\", [... | {"split": "train", "index": 15694} |
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: Logan, Jacob, Henry, Aurora, and Zoey. Logan expressed that it is not the case that (if Zoey is a knight then (Aurora is a knight or Jacob is a knave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 139, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 3], [\"lying\", 1], [\"lying\", 3]]]], [\"<=>\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"lying\", 2]], [\"n... | {"split": "train", "index": 15695} |
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: Riley, Owen, Chloe, Jackson, and Isabella. Riley commented, \"Isabella is a hero\". Owen said, \"Chloe is a hero.\" In Chloe's words: \"if (if (Owen ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 140, \"statements\": [[\"telling-truth\", 4], [\"telling-truth\", 2], [\"->\", [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 0]], [\"telling-truth\", 0]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"lying\"... | {"split": "train", "index": 15696} |
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: Benjamin, Abigail, Victoria, Samuel, and Noah. \"Noah is a pioneer,\" Benjamin mentioned. Abigail said that if (if (Victoria is a laggard or Sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 141, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]], [\"lying\", 2]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], ... | {"split": "train", "index": 15697} |
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: Grace, Emily, Isabella, James, and Liam. \"(if (if James is an angel then Isabella is an angel) then (Liam is an angel)) and (it is not the case that (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 142, \"statements\": [[\"and\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 1]]]], [\"or\", [\"->\", [\"and\", [\"telling-truth\", 4], ... | {"split": "train", "index": 15698} |
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: Joseph, Victoria, Liam, Abigail, and Alexander. Joseph noted, \"Abigail is an angel\". In Victoria's words: \"((Abigail is a devil and Liam is a devil)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 143, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"not\", [\"telling-truth\",... | {"split": "train", "index": 15699} |
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