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reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Matthew, Ethan, Michael, Olivia, Aria, Jacob, Aiden, Zoey, and Mason. Matthew remarked, \"Olivia is a devil if and only if (Mason is a devil)\". \"Maso...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 122, \"statements\": [[\"<=>\", [\"lying\", 3], [\"not\", [\"telling-truth\", 8]]], [\"or\", [\"telling-truth\", 8], [\"or\", [\"or\", [\"lying\", 6], [\"lying\", 7], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 4], ...
{"split": "train", "index": 17900}
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, Owen, Emily, Elizabeth, William, David, Alexander, Amelia, and Matthew. Mason said, \"(Owen is an egoist if and only if (Owen is an altr...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 123, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 1], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 5]]], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"telling-trut...
{"split": "train", "index": 17901}
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: James, Benjamin, Avery, Lily, Abigail, Lucas, Mason, Isabella, and Victoria. James was heard saying, \"Lily is an egoist\". Benjamin was heard ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 124, \"statements\": [[\"lying\", 3], [\"not\", [\"->\", [\"and\", [\"lying\", 0], [\"lying\", 3], [\"lying\", 8], [\"lying\", 4]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]]], [\"lying\", 0], [\"or\", [\"or\", ...
{"split": "train", "index": 17902}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Benjamin, Joseph, James, Aria, Michael, Ella, Ethan, Grace, and Lily. Benjamin told you that Ethan is a villain. Joseph expressed that ((Joseph is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 125, \"statements\": [[\"lying\", 6], [\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 2], [\"lying\", 8]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"lying\", 5]...
{"split": "train", "index": 17903}
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: Chloe, Owen, Benjamin, Scarlett, Liam, Joseph, Jacob, Aurora, and Matthew. As Chloe put it, \"if (if (Aurora is a sinner and Scarlett is a sinner) th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 126, \"statements\": [[\"->\", [\"->\", [\"and\", [\"lying\", 7], [\"lying\", 3]], [\"lying\", 1]], [\"->\", [\"telling-truth\", 1], [\"or\", [\"lying\", 8], [\"lying\", 3], [\"lying\", 7], [\"telling-truth\", 7]]]], [\"or\", ...
{"split": "train", "index": 17904}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Olivia, Michael, William, Evelyn, James, Alexander, Zoey, Luke, and Grace. In a statement by Olivia: \"if ((Evelyn is a sinner if and only if Evelyn ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 127, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"lying\", 6]]], [\"lying\", 8], [\"->\", [\"lying\", 0], [\"->\", [\"<=>\", [\"lying\",...
{"split": "train", "index": 17905}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Olivia, James, Daniel, Chloe, Lucas, Logan, Henry, Joseph, and Noah. As Olivia put it, \"it is not the case that (if (Joseph is a sinner and Lucas is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 128, \"statements\": [[\"not\", [\"->\", [\"and\", [\"lying\", 7], [\"lying\", 4], [\"lying\", 8], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 7]]]], [\"or\", [\"and\", [\"<=>\", [\"telling-truth\", ...
{"split": "train", "index": 17906}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Victoria, Benjamin, Logan, Zoey, Michael, Emma, Owen, Aurora, and Jackson. According to Victoria, \"Michael is a knave or ((Zoey is a knave if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 129, \"statements\": [[\"or\", [\"lying\", 4], [\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"or\", [\"lying\", 8], [\"telling-truth\", 7]], [\"telling-truth\...
{"split": "train", "index": 17907}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Sebastian, Aiden, Luke, Emily, Riley, Ethan, Avery, Joseph, and Ella. In Sebastian's words: \"it is not the case that (it is not the case that (Luke is a f...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 130, \"statements\": [[\"not\", [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1], [\"lying\", 1]]]], [\"telling-truth\", 3], [\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"<=>\", [\"lying\", ...
{"split": "train", "index": 17908}
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, Matthew, Riley, Zoey, Emma, Alexander, Samuel, Mia, and Oliver. Liam stated, \"it is not the case that (it is not the case that (if Alexander i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 131, \"statements\": [[\"not\", [\"not\", [\"->\", [\"lying\", 5], [\"lying\", 4]]]], [\"telling-truth\", 8], [\"not\", [\"or\", [\"lying\", 3], [\"or\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 5], [\"telling-truth...
{"split": "train", "index": 17909}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Charlotte, Daniel, Jack, Ella, Benjamin, Oliver, Michael, Aria, and Abigail. Charlotte said that if ((Benjamin is a hero if and only if Abigail is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 132, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 7], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telling-...
{"split": "train", "index": 17910}
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: William, James, David, Daniel, Jackson, Henry, Luke, Grace, and Liam. William commented, \"(it is not the case that (Liam is an altruist and Da...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 133, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 3], [\"telling-truth\", 5], [\"telling-truth\", 6]]], [\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"telli...
{"split": "train", "index": 17911}
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: Henry, Scarlett, Charlotte, Michael, Harper, Zoey, Sofia, Luke, and Oliver. Henry said that if (if (Harper is a saint if and only if Luke is a sinner...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 134, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 7]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"not\",...
{"split": "train", "index": 17912}
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: Oliver, Riley, Scarlett, Joseph, Michael, David, Lucas, Mia, and Charlotte. \"((Mia is a villain if and only if Joseph is a hero) if and only if (Sca...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 135, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"lying\", 7]], [\"lying\", 7], [\"telling-truth\", 1], [\"or\", [\"<=>\", [\"or...
{"split": "train", "index": 17913}
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, Owen, Emily, Lucas, Isabella, Mia, Harper, Sofia, and Aurora. \"(it is not the case that (Sofia is a sinner or Mia is a saint or Aurora is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 136, \"statements\": [[\"and\", [\"not\", [\"or\", [\"lying\", 7], [\"telling-truth\", 5], [\"telling-truth\", 8]]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", ...
{"split": "train", "index": 17914}
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: Luke, Ava, Ethan, Elizabeth, Benjamin, Sebastian, Abigail, Mia, and Samuel. Luke stated, \"it is not the case that ((Sebastian is a pioneer or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 137, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 5], [\"lying\", 8], [\"telling-truth\", 2]], [\"not\", [\"lying\", 7]]]], [\"<=>\", [\"lying\", 6], [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", ...
{"split": "train", "index": 17915}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Avery, Henry, Michael, Harper, Ella, Emily, Victoria, Zoey, and Alexander. \"if (Alexander is a fool) then ((Harper is a sage if and only if Henry is a sag...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 138, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 8]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 8], [\"lying\", 7], [\"lying\", 3]], [...
{"split": "train", "index": 17916}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Liam, Elizabeth, Benjamin, Chloe, Samuel, Riley, William, Olivia, and Scarlett. In Liam's words: \"it is not the case that ((Samuel is a laggar...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 139, \"statements\": [[\"not\", [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying...
{"split": "train", "index": 17917}
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, Mason, Aria, William, Sofia, Evelyn, Emily, Penelope, and Luke. Elizabeth told you that if (Emily is a devil or (Aria is a devil or Elizabet...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 140, \"statements\": [[\"->\", [\"or\", [\"lying\", 6], [\"or\", [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 6]], [\"telling-truth\", 1], [\"and\", [\"lying\", 8], [\"lying\", 3], [\"telling-truth\", 6], [\"telling-tru...
{"split": "train", "index": 17918}
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: Logan, Sofia, Victoria, Isabella, Emily, Avery, Joseph, Scarlett, and Emma. Logan said, \"(Sofia is an angel if and only if (Emily is an angel and Aver...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 141, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 1], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 5], [\"telling-truth\", 8], [\"telling-truth\", 7]]], [\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\...
{"split": "train", "index": 17919}
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, Emily, Owen, Elizabeth, Joseph, Grace, Abigail, Chloe, and Aurora. Noah asserted: \"Aurora is a sinner\". \"((Grace is a sinner and Aurora is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 142, \"statements\": [[\"lying\", 8], [\"or\", [\"<=>\", [\"and\", [\"lying\", 5], [\"telling-truth\", 8]], [\"or\", [\"lying\", 5], [\"telling-truth\", 0]]], [\"->\", [\"or\", [\"lying\", 0], [\"lying\", 7], [\"telling-truth\...
{"split": "train", "index": 17920}
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, Matthew, Ella, Daniel, Penelope, Jacob, Olivia, Benjamin, and Michael. Chloe asserted: \"if (it is not the case that (Penelope is a devil or Oli...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 143, \"statements\": [[\"->\", [\"not\", [\"or\", [\"lying\", 4], [\"lying\", 6]]], [\"and\", [\"<=>\", [\"lying\", 8], [\"lying\", 4]], [\"not\", [\"lying\", 5]]]], [\"->\", [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying...
{"split": "train", "index": 17921}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Charlotte, Victoria, Lily, Liam, Jacob, Evelyn, Aurora, Jackson, and Emma. \"Emma is an altruist,\" Charlotte claimed. Victoria noted, \"if (if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 144, \"statements\": [[\"telling-truth\", 8], [\"->\", [\"->\", [\"<=>\", [\"lying\", 0], [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"lying\", 0]]], [\"not\", [\"->\", [\"lying\", 3], [\"lying\", 0]]]], [\"and\", [\"<=>\", [...
{"split": "train", "index": 17922}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Zoey, Victoria, Jackson, Henry, Amelia, William, Owen, Aiden, and Luke. \"((Zoey is a laggard) or (Aiden is a laggard if and only if Owen is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 145, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 7], [\"lying\", 6]]], [\"telling-truth\", 8], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 3]]], [\"or\", [\"...
{"split": "train", "index": 17923}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Aiden, Lucas, Evelyn, Avery, Ella, Sebastian, Jacob, Noah, and Grace. Aiden said, \"Avery is a sinner.\" \"it is not the case that (it is not the cas...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 146, \"statements\": [[\"lying\", 3], [\"not\", [\"not\", [\"and\", [\"lying\", 7], [\"telling-truth\", 6]]]], [\"and\", [\"and\", [\"<=>\", [\"lying\", 0], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 7], [\...
{"split": "train", "index": 17924}
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, Alexander, Matthew, Logan, Jacob, Penelope, Benjamin, Isabella, and Jackson. As Michael put it, \"((Matthew is an altruist and Alexand...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 147, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1], [\"lying\", 4]], [\"telling-truth\", 0]], [\"or\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 7]]]...
{"split": "train", "index": 17925}
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: Sofia, Avery, Mia, Evelyn, Aria, Mason, Benjamin, David, and Samuel. Sofia said, \"Samuel is a devil and ((Sofia is a devil) or (if Mia is a devil then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 148, \"statements\": [[\"and\", [\"lying\", 8], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"<=>\", [\"lying\", 7], [\"not...
{"split": "train", "index": 17926}
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: Evelyn, Ella, Lucas, Lily, Alexander, Harper, Daniel, Jackson, and David. Evelyn said that Alexander is a sage if and only if (David is a sage if and only ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 149, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 8], [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 7]]]], [\"<=>\", [\"and\", [\"lying\", 7], [\"->\", [\"lying\", 6]...
{"split": "train", "index": 17927}
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, Zoey, Lucas, Alexander, Owen, Evelyn, Michael, Chloe, and Daniel. \"if (if (Zoey is a fool or Zoey is a sage or Evelyn is a sage or Evelyn is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 150, \"statements\": [[\"->\", [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 5], [\"lying\", 5]], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [...
{"split": "train", "index": 17928}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Aiden, Harper, Penelope, Lucas, Grace, Owen, James, Chloe, and Aria. Aiden asserted: \"Grace is a devil if and only if ((Grace is a devil and Harper is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 151, \"statements\": [[\"<=>\", [\"lying\", 4], [\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"or\", [\"lying\", 6], [\"lying\", 3], [\"telling-truth\", 1]]]], [\"<=>\",...
{"split": "train", "index": 17929}
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: Ethan, Aurora, Penelope, Sophia, Mia, Olivia, William, Ella, and Benjamin. Ethan commented, \"if Mia is an angel then ((Benjamin is an angel if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 152, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"not\", [\"lying\", 7]]]], [\"or\", [\"or\", [\"<=>\", [\"lying\", 7], [\"lying\", 0]], [\"and\", [\...
{"split": "train", "index": 17930}
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: Jacob, Jackson, Logan, Jack, Mia, Joseph, Riley, Owen, and Daniel. \"if ((Mia is a knight) and (Jackson is a knight)) then (Jack is a knave or (Jacks...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 153, \"statements\": [[\"->\", [\"and\", [\"not\", [\"lying\", 4]], [\"not\", [\"lying\", 1]]], [\"or\", [\"lying\", 3], [\"or\", [\"lying\", 1], [\"telling-truth\", 3], [\"lying\", 6]]]], [\"->\", [\"or\", [\"and\", [\"tellin...
{"split": "train", "index": 17931}
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: Harper, Samuel, Emily, Noah, Michael, Benjamin, Oliver, Mia, and Liam. According to Harper, \"((Oliver is a fool) if and only if (if Benjamin is a sage the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 154, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 7]]], [\"->\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"and\", [\"telling-tr...
{"split": "train", "index": 17932}
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: Charlotte, Emily, Henry, Alexander, Penelope, Lily, Olivia, Amelia, and Isabella. As Charlotte put it, \"if Olivia is an angel then Henry is an angel\"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 155, \"statements\": [[\"->\", [\"telling-truth\", 6], [\"telling-truth\", 2]], [\"->\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 2]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"tellin...
{"split": "train", "index": 17933}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Riley, Matthew, Benjamin, Alexander, Ella, William, Isabella, Mia, and Sebastian. Riley asserted: \"it is not the case that ((Sebastian is a fool or Alexan...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 156, \"statements\": [[\"not\", [\"or\", [\"or\", [\"lying\", 8], [\"lying\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 8]], [\"not\", [\"lying\", 8...
{"split": "train", "index": 17934}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Mason, Evelyn, Emily, Jack, Grace, Samuel, Michael, Luke, and Riley. As Mason put it, \"((if Luke is a laggard then Jack is a pioneer) or (Rile...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 157, \"statements\": [[\"and\", [\"or\", [\"->\", [\"lying\", 7], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 4]], [\"and\", [\"lying\", 3],...
{"split": "train", "index": 17935}
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: Ella, Jack, Evelyn, Isabella, David, Alexander, Amelia, Grace, and Emily. Ella expressed that ((Emily is a hero and David is a villain and Evelyn is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 158, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 8], [\"lying\", 4], [\"lying\", 2]], [\"lying\", 6]], [\"not\", [\"not\", [\"lying\", 3]]], [\"->\", [\"or\", [\"lying\", 7], [\"lying\", 5], [\"lying\", ...
{"split": "train", "index": 17936}
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: Elizabeth, Mia, Oliver, David, Scarlett, Amelia, Benjamin, Penelope, and Mason. In a statement by Elizabeth: \"(it is not the case that (Mason ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 159, \"statements\": [[\"and\", [\"not\", [\"not\", [\"lying\", 8]]], [\"->\", [\"not\", [\"lying\", 2]], [\"lying\", 8]]], [\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"or\", [\"telling-truth\", 0], ...
{"split": "train", "index": 17937}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Victoria, Jackson, Alexander, Owen, Ava, Samuel, Oliver, Noah, and Logan. \"Owen is a knight or (it is not the case that (if Alexander is a knight th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 160, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 5]]], [\"or\", [\"not\", [\"lying\", 1]], [\"or\", [\"telling-truth\", 4], [\"lying\", 8], [\"lying\", 1], [...
{"split": "train", "index": 17938}
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: Lily, Grace, Ava, Alexander, Noah, William, Scarlett, Abigail, and Owen. \"it is not the case that (Owen is a devil and (Owen is a devil if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 161, \"statements\": [[\"not\", [\"and\", [\"lying\", 8], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 2]]]], [\"or\", [\"and\", [\"or\", [\"lying\", 0], [\"lying\", 6], [\"telling-truth\", 6]], [\"and\", [\"lying\", 4], [\"l...
{"split": "train", "index": 17939}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Ava, Evelyn, Lucas, Liam, Henry, Ella, Owen, Victoria, and Elizabeth. \"if (if Liam is an egoist then (Liam is an altruist)) then (it is not th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 162, \"statements\": [[\"->\", [\"->\", [\"lying\", 3], [\"not\", [\"lying\", 3]]], [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 8], [\"lying\", 5]]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"<=>\", [\"lying\", ...
{"split": "train", "index": 17940}
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: Mia, Ethan, Luke, Sophia, Samuel, Lucas, Amelia, Liam, and Sofia. Mia commented, \"Samuel is a sage\". Ethan commented, \"if ((Amelia is a sage or Amelia i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 163, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"or\", [\"or\", [\"telling-truth\", 6], [\"lying\", 6]], [\"or\", [\"lying\", 3], [\"lying\", 4], [\"lying\", 7]]], [\"or\", [\"<=>\", [\"telling-truth\", 6], [\"telling...
{"split": "train", "index": 17941}
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, Ethan, Liam, Matthew, Charlotte, Lily, Joseph, Chloe, and Aurora. Oliver commented, \"Lily is an altruist\". Ethan was heard saying, \"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 164, \"statements\": [[\"telling-truth\", 5], [\"lying\", 5], [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 1], [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 2], [\"telling-tru...
{"split": "train", "index": 17942}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Lucas, Zoey, Scarlett, Joseph, Sofia, Daniel, Ella, Evelyn, and Mason. Lucas remarked, \"((Evelyn is a pioneer or Sofia is a laggard or Zoey is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 165, \"statements\": [[\"or\", [\"and\", [\"or\", [\"telling-truth\", 7], [\"lying\", 4], [\"lying\", 1]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"<=>\"...
{"split": "train", "index": 17943}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Zoey, Victoria, Liam, Ella, Isabella, Penelope, Jackson, Olivia, and Aurora. \"(if (Jackson is an egoist) then (Liam is an altruist and Penelop...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 166, \"statements\": [[\"and\", [\"->\", [\"not\", [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 2], [\"lying\", 5], [\"lying\", 6], [\"telling-truth\", 5]]], [\"lying\", 4], [\"lying\", 1]], [\"not\", [\"<=>\", [\"te...
{"split": "train", "index": 17944}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Joseph, Daniel, Jacob, Sofia, Lucas, Lily, Jack, Isabella, and Sophia. \"((Sophia is a devil or Isabella is an angel or Jack is an angel) if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 167, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"lying\", 8], [\"telling-truth\", 7], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\"...
{"split": "train", "index": 17945}
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, Avery, Emma, Sophia, Noah, Victoria, Luke, Aria, and Ella. Isabella stated, \"it is not the case that (Noah is a saint or (Avery is a saint...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 168, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 7], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 8]]]], [\"not\", [\"not\"...
{"split": "train", "index": 17946}
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: Scarlett, Zoey, Owen, Noah, Mason, Jacob, Ella, Aria, and Chloe. Scarlett told you that Mason is an egoist if and only if ((Aria is an egoist i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 169, \"statements\": [[\"<=>\", [\"lying\", 4], [\"and\", [\"<=>\", [\"lying\", 7], [\"lying\", 1]], [\"->\", [\"lying\", 7], [\"lying\", 8]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 6], [\"tel...
{"split": "train", "index": 17947}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Noah, Victoria, Scarlett, Abigail, Mia, Charlotte, Riley, Jackson, and Grace. Noah stated, \"if ((if Riley is a sinner then Jackson is a saint) if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 170, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"lying\", 6], [\"telling-truth\", 7]], [\"not\", [\"lying\", 6]]], [\"not\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 1]]]], [\"->\", [\"telling-truth\", 2], [\"...
{"split": "train", "index": 17948}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Olivia, Sophia, Aurora, Mason, Elizabeth, Joseph, Jackson, Benjamin, and Harper. Olivia was heard saying, \"((Benjamin is an altruist or Olivia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 171, \"statements\": [[\"and\", [\"and\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 8], [\"lying\...
{"split": "train", "index": 17949}
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: Amelia, Aurora, Michael, Jack, Sebastian, William, Samuel, Avery, and Victoria. As Amelia put it, \"((if Sebastian is a villain then Jack is a hero) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 172, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"->\",...
{"split": "train", "index": 17950}
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, Lily, Scarlett, Emily, Isabella, Chloe, Logan, Elizabeth, and Sofia. Aurora stated, \"(if Chloe is an egoist then (Isabella is an egois...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 173, \"statements\": [[\"or\", [\"->\", [\"lying\", 5], [\"and\", [\"lying\", 4], [\"telling-truth\", 5], [\"lying\", 3]]], [\"lying\", 3], [\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3], [\"telling-truth\", 4]]]], ...
{"split": "train", "index": 17951}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Zoey, Jack, Jacob, Daniel, Owen, Lily, Aria, Abigail, and Riley. As Zoey put it, \"Jacob is a knave\". In a statement by Jack: \"((Daniel is a knight...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 174, \"statements\": [[\"lying\", 2], [\"and\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 5]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 6]]], [\"<=>\", [\"or\", [\"lying\", 8], [\"telling-truth\", 3]], [\"no...
{"split": "train", "index": 17952}
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: Ella, Isabella, David, Noah, Samuel, Lucas, Emily, Henry, and Amelia. Ella said that (if (Isabella is an egoist and Henry is an egoist) then (S...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 175, \"statements\": [[\"and\", [\"->\", [\"and\", [\"lying\", 1], [\"lying\", 7]], [\"and\", [\"lying\", 4], [\"lying\", 5]]], [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3], [\"telling-truth\", 7]]], [\"telling-tr...
{"split": "train", "index": 17953}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Scarlett, Zoey, Jackson, Abigail, Joseph, Henry, Olivia, Sebastian, and Sophia. In Scarlett's words: \"if (if Olivia is a hero then (Scarlett is a he...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 176, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 6], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"lying\", 7]], [\"not\", [\"lying\", 2]], [\"lying\", 8], [\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\", ...
{"split": "train", "index": 17954}
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: Alexander, Scarlett, Mia, Isabella, Aurora, Daniel, Olivia, Matthew, and Penelope. Alexander noted, \"(if (Isabella is an egoist if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 177, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"lying\", 5], [\"telling-truth\", 1], [\"lying\", 7], [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 6], [\"lying...
{"split": "train", "index": 17955}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Mason, Daniel, Oliver, Sebastian, Olivia, Evelyn, Chloe, Avery, and Isabella. Mason said that Isabella is a villain. Daniel remarked, \"Isabella is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 178, \"statements\": [[\"not\", [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 3]], [\"and\", [\"or\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 0], [\"telling-truth\", 5]], [\"telling-truth\...
{"split": "train", "index": 17956}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Isabella, Mason, Sophia, Emma, Jack, Harper, Ava, Abigail, and James. As Isabella put it, \"if Sophia is an angel then (if (Sophia is an angel or James...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 179, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 8], [\"lying\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 2]]], [\"->\", [\"->\", [\"<=>\", [\"lying\", 7], [\...
{"split": "train", "index": 17957}
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: Jack, Daniel, Aiden, Ava, Ethan, Luke, Ella, Noah, and Benjamin. \"((Ella is a knave if and only if Daniel is a knight) if and only if (if Ella is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 180, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 6], [\"lying\", 4]]], [\"lying\", 6], [\"lying\", 4], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"tell...
{"split": "train", "index": 17958}
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, Lucas, Noah, Mia, Elizabeth, Emma, Amelia, James, and Harper. Henry was heard saying, \"(it is not the case that (Amelia is a sage and James is a fo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 181, \"statements\": [[\"and\", [\"not\", [\"and\", [\"telling-truth\", 6], [\"lying\", 7], [\"lying\", 8], [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 4], [\"lyi...
{"split": "train", "index": 17959}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Luke, Aiden, Harper, Lily, Abigail, Elizabeth, William, Samuel, and Jackson. \"Elizabeth is a devil,\" Luke declared. Aiden asserted: \"((William is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 182, \"statements\": [[\"lying\", 5], [\"<=>\", [\"or\", [\"or\", [\"lying\", 6], [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"telling-truth\", 8], [\"lying\", 7]], [\"telling-truth\", 0], [\"or\", [\"telling-truth\",...
{"split": "train", "index": 17960}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Aurora, Charlotte, James, Ethan, Sofia, Emma, Logan, Benjamin, and Noah. \"Charlotte is a pioneer,\" Aurora claimed. Charlotte expressed that i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 183, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"->\", [\"telling-truth\", 6], [\"not\", [\"lying\", 6]]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 8]]]], [\"and...
{"split": "train", "index": 17961}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Ella, Matthew, Isabella, Alexander, Liam, Chloe, Lily, Joseph, and David. As Ella put it, \"(Isabella is a devil or (Chloe is a devil and David is a de...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 184, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 2], [\"and\", [\"lying\", 5], [\"lying\", 8], [\"telling-truth\", 7]]], [\"lying\", 1]], [\"->\", [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 7]], [\"or\", [\"lyin...
{"split": "train", "index": 17962}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Sebastian, Olivia, Henry, Emma, William, Sophia, Evelyn, Lily, and Jacob. Sebastian remarked, \"(if (Evelyn is a sage or Emma is a sage or Jacob is a sage)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 185, \"statements\": [[\"and\", [\"->\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"telling-truth\", 2]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 5]], [\"not\", [\"tellin...
{"split": "train", "index": 17963}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Jack, Charlotte, Isabella, Noah, Aria, Logan, Sophia, Ella, and Mason. Jack noted, \"Aria is an altruist if and only if ((if Isabella is an alt...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 186, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"not\", [\"lying\", 8]]]], [\"and\", [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"not\...
{"split": "train", "index": 17964}
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: Zoey, Owen, Sophia, Penelope, Emily, Matthew, Victoria, Luke, and James. \"(if (if Victoria is a devil then Penelope is a devil) then (Victoria is a de...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 187, \"statements\": [[\"and\", [\"->\", [\"->\", [\"lying\", 6], [\"lying\", 3]], [\"and\", [\"lying\", 6], [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 0]], ...
{"split": "train", "index": 17965}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Riley, Zoey, Avery, Logan, Abigail, Penelope, Emma, Alexander, and Mia. Riley expressed that Emma is a laggard. Zoey told you that if (Riley is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 188, \"statements\": [[\"lying\", 6], [\"->\", [\"not\", [\"lying\", 0]], [\"->\", [\"or\", [\"telling-truth\", 8], [\"lying\", 5], [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"telling-truth\", 1]]], [\"lying\", 1], [\"...
{"split": "train", "index": 17966}
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: Scarlett, William, Grace, Harper, Samuel, Alexander, Lucas, Daniel, and Aurora. Scarlett said that ((if William is an egoist then Daniel is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 189, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 6], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\",...
{"split": "train", "index": 17967}
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, Chloe, Emma, Liam, Joseph, Benjamin, Jackson, Samuel, and Avery. Olivia noted, \"Joseph is a knave\". Chloe asserted: \"Joseph is a knave\". ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 190, \"statements\": [[\"lying\", 4], [\"lying\", 4], [\"telling-truth\", 7], [\"or\", [\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 8]]], [\"<=>\", [\"or\", ...
{"split": "train", "index": 17968}
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, Amelia, Oliver, Jacob, Luke, Ella, Elizabeth, Sophia, and Mia. As Samuel put it, \"it is not the case that (if (Sophia is a knave if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 191, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"lying\", 7], [\"lying\", 5]], [\"and\", [\"lying\", 6], [\"lying\", 2], [\"telling-truth\", 6], [\"lying\", 3]]]], [\"<=>\", [\"->\", [\"not\", [\"telling-truth\", 6]], [\"...
{"split": "train", "index": 17969}
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: Henry, James, Lucas, Avery, Elizabeth, Olivia, Chloe, Riley, and Isabella. Henry was heard saying, \"if (if Olivia is an altruist then (if Oliv...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 192, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 5], [\"->\", [\"lying\", 5], [\"lying\", 7]]], [\"not\", [\"<=>\", [\"lying\", 5], [\"lying\", 4]]]], [\"or\", [\"->\", [\"or\", [\"telling-truth\", 1], [\"lying\", 8...
{"split": "train", "index": 17970}
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, Abigail, Harper, Amelia, Luke, David, Olivia, Grace, and Scarlett. \"(Luke is an altruist) or ((Luke is an altruist or Abigail is an e...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 193, \"statements\": [[\"or\", [\"not\", [\"lying\", 4]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 8], [\"lying\", 3]], [\"telling-truth\", 7]], [\"or\", [\"or\", [\"telling-truth\", 5], [\...
{"split": "train", "index": 17971}
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: Lucas, Joseph, Victoria, Jacob, Sofia, Emma, Ethan, Harper, and Mia. According to Lucas, \"Emma is a knave\". In a statement by Joseph: \"Ethan is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 194, \"statements\": [[\"lying\", 5], [\"not\", [\"lying\", 6]], [\"and\", [\"and\", [\"not\", [\"lying\", 8]], [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 4], [\"telling-truth\", 5]]], [\"and\", [\"ly...
{"split": "train", "index": 17972}
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, Logan, Jack, Sofia, Aiden, Joseph, Benjamin, Elizabeth, and Jackson. Alexander remarked, \"Benjamin is a knave if and only if (if (Jackson...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 195, \"statements\": [[\"<=>\", [\"lying\", 6], [\"->\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 7], [\"lying\", 7], [\"telling-truth\", 5]]]], [\"or\", [\"<=>\",...
{"split": "train", "index": 17973}
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: Elizabeth, Avery, Aria, Emily, James, Sophia, Riley, Victoria, and Ava. \"if Ava is a laggard then (it is not the case that (Riley is a laggard...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 196, \"statements\": [[\"->\", [\"lying\", 8], [\"not\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 3]]]], [\"not\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"lying\", 8], [\"t...
{"split": "train", "index": 17974}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Benjamin, Chloe, Zoey, Riley, Penelope, Aiden, James, Joseph, and Lily. Benjamin said that Penelope is a knave. Chloe noted, \"Zoey is a knight\". Zo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 197, \"statements\": [[\"lying\", 4], [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 0], [\"or\", [\"or\", [\"lying\", 5], [\"telling-truth\", 1], [\"lying\", 7]], [\"and\", [\"telling-truth\", 5], [\"lying\", 5], [\"tel...
{"split": "train", "index": 17975}
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, Scarlett, Amelia, Aiden, Michael, Joseph, Lily, Benjamin, and Samuel. Liam remarked, \"it is not the case that ((Joseph is a villain if and onl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 198, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 1]], [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 6], [\"lying...
{"split": "train", "index": 17976}
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, Noah, Alexander, Mia, Jacob, Zoey, Samuel, Sebastian, and Penelope. Liam commented, \"it is not the case that ((Zoey is a villain and Alexander...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 199, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"lying\", 5], [\"telling-truth\", 2], [\"telling-truth\", 7], [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"telling-truth\", 6]]]], [\"->\", [\"<=>\", [\"or\", [\"telling-tr...
{"split": "train", "index": 17977}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Olivia, William, Avery, Matthew, Alexander, Charlotte, Aiden, Sofia, and Joseph. Olivia remarked, \"Sofia is an egoist\". William expressed tha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 200, \"statements\": [[\"lying\", 7], [\"not\", [\"telling-truth\", 3]], [\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 7], [\"telling-truth\", 1], [\"lying\", 4]], [\"lying\", 6]]], [\"->\", [\"or\"...
{"split": "train", "index": 17978}
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: Charlotte, Zoey, Abigail, Mason, Lucas, Michael, Lily, Aiden, and Daniel. As Charlotte put it, \"((Michael is a knave or Daniel is a knave or Mason i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 201, \"statements\": [[\"or\", [\"and\", [\"or\", [\"lying\", 5], [\"lying\", 8], [\"telling-truth\", 3], [\"lying\", 4]], [\"lying\", 6]], [\"and\", [\"<=>\", [\"lying\", 5], [\"lying\", 1]], [\"->\", [\"telling-truth\", 8], ...
{"split": "train", "index": 17979}
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: Benjamin, Alexander, Grace, Logan, Sofia, Emily, Daniel, Noah, and Aiden. Benjamin stated, \"((Emily is an angel if and only if Aiden is a devil) if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 202, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 8]], [\"and\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"telling-truth\", 0]], [\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"...
{"split": "train", "index": 17980}
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, Henry, Abigail, Luke, Harper, Matthew, Michael, Alexander, and Ethan. Aria commented, \"(it is not the case that (Alexander is a sinner or Mich...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 203, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"lying\", 7], [\"telling-truth\", 6], [\"lying\", 2]]], [\"and\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 8], [\"lying\", 6]], [\"telling-truth\", 3], [\"not\"...
{"split": "train", "index": 17981}
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, Lily, Harper, Ella, Victoria, Owen, Michael, Mason, and David. According to Elizabeth, \"it is not the case that ((Lily is a knight if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 204, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"not\", [\"telling-truth\", 8]], [\"and\", [\"lying\", 4], [\"lying\", 6]], [\"and\", [\"lying\", 4], [\"telling-truth\", 7], [\"tel...
{"split": "train", "index": 17982}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Zoey, Isabella, Aria, Elizabeth, Lucas, Michael, Benjamin, James, and Riley. Zoey noted, \"Aria is a pioneer or ((Michael is a pioneer) if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 205, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"<=>\", [\"not\", [\"lying\", 5]], [\"or\", [\"telling-truth\", 0], [\"lying\", 1], [\"lying\", 7], [\"lying\", 2]]], [\"telling-truth\", 5]], [\"or\", [\"and\", [\"and\...
{"split": "train", "index": 17983}
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, Scarlett, Ella, Emma, Liam, Victoria, Alexander, Penelope, and Michael. As Evelyn put it, \"if ((Scarlett is an angel if and only if Michael is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 206, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"telling-truth\", 2]], [\"lying\", 5]], [\"lying\", 0], [\"lying\", 6], [\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 0],...
{"split": "train", "index": 17984}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Zoey, Isabella, Liam, Elizabeth, Penelope, Benjamin, Ava, Alexander, and Aiden. \"((Aiden is a pioneer and Ava is a laggard) or (if Ava is a la...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 207, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 8], [\"lying\", 6]], [\"->\", [\"lying\", 6], [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 6]]], [\"<=>\", [\"lying\", 5], [\"<=>\...
{"split": "train", "index": 17985}
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: Liam, Mia, Sofia, Riley, Owen, Joseph, Daniel, Michael, and Jack. \"((Daniel is a devil or Joseph is an angel or Riley is an angel) or (Sofia is a devi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 208, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"lying\", 6], [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 7], [\"lying...
{"split": "train", "index": 17986}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Olivia, Henry, Jack, Jacob, Mia, Samuel, Sebastian, Evelyn, and Abigail. Olivia said that Jacob is a devil if and only if ((Sebastian is an angel or He...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 209, \"statements\": [[\"<=>\", [\"lying\", 3], [\"<=>\", [\"or\", [\"telling-truth\", 6], [\"lying\", 1]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 4]]]], [\"telling-truth\...
{"split": "train", "index": 17987}
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, Emily, Sofia, Evelyn, Penelope, Oliver, Henry, Victoria, and Owen. \"(it is not the case that (Penelope is a knight and Oliver is a knave)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 210, \"statements\": [[\"or\", [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 5]]], [\"lying\", 7]], [\"not\", [\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 8]], [\"not\", [\"lying\", 6]]]], [\"<=>\",...
{"split": "train", "index": 17988}
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, Matthew, Sophia, Charlotte, Riley, James, Sebastian, Liam, and Aiden. Isabella asserted: \"((if Matthew is an angel then Sebastian is a devil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 211, \"statements\": [[\"or\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 6]], [\"not\", [\"telling-truth\", 5]], [\"->\", [\"lying\", 7], [\"lying\", 2]], [\"and\", [\"lying\", 7], [\"lying\", 6], [\"telling-truth...
{"split": "train", "index": 17989}
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: Victoria, William, Oliver, Jacob, Scarlett, Charlotte, Elizabeth, Michael, and Alexander. Victoria remarked, \"Scarlett is a devil\". William was heard...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 212, \"statements\": [[\"lying\", 4], [\"->\", [\"telling-truth\", 2], [\"and\", [\"->\", [\"lying\", 6], [\"lying\", 3]], [\"not\", [\"lying\", 3]]]], [\"or\", [\"or\", [\"not\", [\"telling-truth\", 8]], [\"lying\", 4], [\"no...
{"split": "train", "index": 17990}
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: Benjamin, Evelyn, Emma, David, Charlotte, Sophia, Ella, Jacob, and Liam. In Benjamin's words: \"(it is not the case that (Charlotte is an altru...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 213, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 5]]], [\"->\", [\"not\", [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 3], [\"telling-trut...
{"split": "train", "index": 17991}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Sebastian, Noah, Lucas, Mason, Penelope, Aurora, Sofia, Alexander, and Aiden. In Sebastian's words: \"Penelope is a fool and Aurora is a sage and ((if Sofi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 214, \"statements\": [[\"and\", [\"lying\", 4], [\"telling-truth\", 5], [\"and\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"lying\", 3], [\"telling-tru...
{"split": "train", "index": 17992}
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: Scarlett, Evelyn, Lily, Aiden, Olivia, Chloe, Jackson, Alexander, and Oliver. \"if (if (Olivia is a pioneer or Jackson is a laggard or Lily is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 215, \"statements\": [[\"->\", [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 6], [\"lying\", 2], [\"telling-truth\", 0]], [\"and\", [\"lying\", 4], [\"telling-truth\", 1], [\"lying\", 2], [\"telling-truth\", 4]]], [\"-...
{"split": "train", "index": 17993}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Riley, Harper, Aria, Ella, Samuel, Jacob, Elizabeth, Avery, and Aurora. Riley stated, \"if (if (if Avery is a fool then Avery is a sage) then (Aria is a fo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 216, \"statements\": [[\"->\", [\"->\", [\"->\", [\"lying\", 7], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 2], [\"lying\", 6]]], [\"not\", [\"not\", [\"lying\", 6]]]], [\"<=>\", [\"and\", [\"and\", [\"lying\", 8], [\"lyin...
{"split": "train", "index": 17994}
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: Isabella, Scarlett, Charlotte, Elizabeth, Ethan, Avery, Lucas, Benjamin, and James. Isabella said that ((James is a laggard and Ethan is a lagg...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 217, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"lying\", 8], [\"lying\", 4], [\"telling-truth\", 2], [\"lying\", 5]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 8], [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [...
{"split": "train", "index": 17995}
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: Ella, Mason, Jack, Sophia, David, James, Riley, Sofia, and Scarlett. Ella was heard saying, \"Mason is a sage if and only if (it is not the case that (Soph...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 218, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 1]]]], [\"and\", [\"or\", [\"not\", [\"lying\", 7]], [\"and\", [\"lying\", 0], [\"telling-truth\", 4]], [\"->\", [\"lying\...
{"split": "train", "index": 17996}
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: Ella, Michael, Victoria, Amelia, Noah, Olivia, Benjamin, Abigail, and David. As Ella put it, \"(if (Noah is an egoist if and only if Abigail is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 219, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 4], [\"lying\", 6]]], [\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 5], [\"telling-truth\", 1]],...
{"split": "train", "index": 17997}
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: Isabella, Henry, Jack, Ava, Ethan, Amelia, Harper, Lucas, and Jacob. Isabella expressed that (it is not the case that (Jack is a knave or Amelia is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 220, \"statements\": [[\"or\", [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 5], [\"lying\", 7], [\"telling-truth\", 2]]], [\"or\", [\"telling-truth\", 2], [\"->\", [\"lying\", 5], [\"telling-truth\", 7]]], [\"and\", ...
{"split": "train", "index": 17998}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Harper, Elizabeth, Emily, Victoria, Riley, Amelia, Joseph, Jackson, and Abigail. Harper told you that it is not the case that ((Elizabeth is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 221, \"statements\": [[\"not\", [\"or\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 5]], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"and\", ...
{"split": "train", "index": 17999}