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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: Evelyn, Sebastian, Michael, Scarlett, Noah, Lucas, Olivia, Harper, and Samuel. \"(it is not the case that (Noah is a laggard if and only if Luc...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 44, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 5]]], [\"lying\", 7], [\"and\", [\"or\", [\"telling-truth\", 8], [\"lying\", 3], [\"lying\", 8]], [\"not\", [\"lying\", 1]], [\"and\", [\"te...
{"split": "train", "index": 15600}
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, Owen, Scarlett, Sophia, Ava, Abigail, Jack, Liam, and Ethan. \"(if (Scarlett is a sage or Ava is a fool) then Ava is a sage) and ((Abigail is a sage...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 45, \"statements\": [[\"and\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]], [\"telling-truth\", 4]], [\"and\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 5], [\"lying...
{"split": "train", "index": 15601}
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: Noah, Aurora, Victoria, Jacob, Matthew, Amelia, Samuel, Jack, and Ava. According to Noah, \"(Victoria is a sage or Noah is a sage or (if Jack is a fool the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 46, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"->\", [\"lying\", 7], [\"lying\", 5]]], [\"lying\", 3], [\"<=>\", [\"<=>\", [\"lying\", 5], [\"lying\", 2]], [\"and\", [\"lying\", 3], [...
{"split": "train", "index": 15602}
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: Aurora, Amelia, Riley, Lily, Penelope, Elizabeth, Joseph, Daniel, and Emily. According to Aurora, \"(it is not the case that (Joseph is a hero)) and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 47, \"statements\": [[\"and\", [\"not\", [\"not\", [\"lying\", 6]]], [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 2]]]], [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"and\", [\"<=>\", [\"lying\", 7], [\"lying\", 0...
{"split": "train", "index": 15603}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: William, Riley, Ethan, Oliver, Elizabeth, Avery, Victoria, Aurora, and Scarlett. William commented, \"(William is a devil) if and only if (if (if Riley...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 48, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]]], [\"and\", [\"or\", [\"not\", [\"lying\", ...
{"split": "train", "index": 15604}
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, Henry, Amelia, Mason, Benjamin, Samuel, Jack, Joseph, and Emma. In Ethan's words: \"(if (Mason is an angel if and only if Amelia is a devil) the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 49, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"lying\", 6]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 1]]],...
{"split": "train", "index": 15605}
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: Elizabeth, Henry, Grace, Harper, Joseph, Alexander, Michael, Isabella, and Amelia. In a statement by Elizabeth: \"(Harper is a sinner if and only if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 50, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 6]], [\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 7], [\"lying\", 8]], [\"telling-truth\", 1]]], [\"and\", [\"lying\", 8], [\"<=>\", [\"lyin...
{"split": "train", "index": 15606}
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, Riley, Amelia, Sofia, Jacob, Mason, James, Emily, and Avery. \"it is not the case that (it is not the case that (James is a hero if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 51, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 5]]]], [\"<=>\", [\"not\", [\"not\", [\"lying\", 7]]], [\"->\", [\"telling-truth\", 1], [\"->\", [\"lying\", 7], [\"lying\", 5]]]],...
{"split": "train", "index": 15607}
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: Grace, Evelyn, Zoey, Victoria, Ethan, Noah, Harper, Chloe, and Abigail. \"Abigail is an angel,\" Grace declared. Evelyn said, \"((Grace is a devil and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 52, \"statements\": [[\"telling-truth\", 8], [\"and\", [\"or\", [\"and\", [\"lying\", 0], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 8]], [\"and\", [\"telling-tru...
{"split": "train", "index": 15608}
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, Zoey, Daniel, David, Samuel, Matthew, Noah, James, and Olivia. In Henry's words: \"it is not the case that ((Matthew is an egoist) and D...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 53, \"statements\": [[\"not\", [\"and\", [\"not\", [\"telling-truth\", 5]], [\"telling-truth\", 3]]], [\"and\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"or\", [\"not\", ...
{"split": "train", "index": 15609}
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: James, Benjamin, Harper, Zoey, Daniel, Avery, Lucas, Emily, and Ava. James expressed that (Harper is a saint or (Lucas is a saint or Harper is a sinn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 54, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 6], [\"lying\", 2]], [\"lying\", 5]], [\"and\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 0], [\"lying\", 7]], [\"and\", ...
{"split": "train", "index": 15610}
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: Matthew, Ethan, Chloe, Grace, Elizabeth, Riley, Aria, Jacob, and Michael. Matthew told you that Elizabeth is a pioneer or Jacob is a pioneer. A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 55, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"and\", [\"lying\", 5], [\"->\", [\"lying\", 5], [\"->\", [\"lying\", 5], [\"lying\", 0]]]], [\"<=>\", [\"and\", [\"or\", [\"telling-truth\", 0],...
{"split": "train", "index": 15611}
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: David, Riley, Sebastian, Mason, Liam, Penelope, Ava, Noah, and Elizabeth. In a statement by David: \"Sebastian is a hero\". Riley commented, \"(it is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 56, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 2]]], [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 0], ...
{"split": "train", "index": 15612}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Liam, Sofia, Ava, Scarlett, Abigail, Ethan, Victoria, Noah, and Emma. In Liam's words: \"it is not the case that ((Victoria is a saint and Noah is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 57, \"statements\": [[\"not\", [\"and\", [\"and\", [\"telling-truth\", 6], [\"lying\", 7]], [\"not\", [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 5]]]], [\"or\", [\"and\", [\"and\", [\"lying\", 3], [...
{"split": "train", "index": 15613}
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: Victoria, Noah, Samuel, Joseph, Aiden, Scarlett, Benjamin, Owen, and Matthew. In Victoria's words: \"((Aiden is an egoist if and only if Scarle...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 58, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 5]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 8]]], [\"telling-truth\", 8], [\"<=>\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 8]], [\"and...
{"split": "train", "index": 15614}
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, Matthew, Victoria, Evelyn, Mia, Samuel, William, Ava, and Joseph. Benjamin expressed that if ((William is an angel and Mia is an angel and Ma...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 59, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"or\", [\"lying\", 6], [\"lying\", 7]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"lying\", 7]], [\"tell...
{"split": "train", "index": 15615}
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: Joseph, Benjamin, Scarlett, Liam, Emily, Logan, Henry, Jack, and Mason. Joseph asserted: \"(if (if Scarlett is a knight then Mason is a knight) then ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 60, \"statements\": [[\"and\", [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 8]], [\"->\", [\"lying\", 5], [\"telling-truth\", 0]]], [\"and\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"or\",...
{"split": "train", "index": 15616}
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: Jacob, Alexander, Evelyn, Daniel, Harper, Aiden, Lily, Henry, and Abigail. \"if ((Aiden is a sinner if and only if Daniel is a sinner) if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 61, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"lying\", 5], [\"lying\", 3]], [\"or\", [\"lying\", 6], [\"telling-truth\", 8], [\"telling-truth\", 7]]], [\"<=>\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 2], ...
{"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 9 inhabitants: Mason, Oliver, Daniel, Benjamin, Riley, Jack, Victoria, Sofia, and Grace. Mason remarked, \"(if (Oliver is an altruist and Daniel is an egoist)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 62, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2]], [\"->\", [\"telling-truth\", 5], [\"lying\", 3]]], [\"not\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 2]]]], [\"not\", [\"o...
{"split": "train", "index": 15618}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: William, Joseph, Benjamin, Matthew, Liam, James, Logan, Penelope, and Riley. William said that (Benjamin is a villain or (if Penelope is a villain th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 63, \"statements\": [[\"and\", [\"or\", [\"lying\", 2], [\"->\", [\"lying\", 7], [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 0], [...
{"split": "train", "index": 15619}
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: Lucas, Jack, Aiden, Daniel, Oliver, Charlotte, Lily, Harper, and Aurora. \"Aurora is an angel if and only if (Harper is an angel and (Charlotte is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 64, \"statements\": [[\"<=>\", [\"telling-truth\", 8], [\"and\", [\"telling-truth\", 7], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 4]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]]]], [\"<=>\", [\"or\", [\"not...
{"split": "train", "index": 15620}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Joseph, Liam, Jacob, Penelope, Benjamin, Sebastian, James, Daniel, and Henry. Joseph was heard saying, \"((Liam is a laggard or Jacob is a lagg...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 65, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"lying\", 1], [\"lying\", 2]], [\"->\", [\"lying\", 5], [\"lying\", 6]]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"or\", [\"lying\", 3], [\"telling-trut...
{"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 9 inhabitants: Joseph, David, Sophia, Lily, Emily, Sofia, Michael, Samuel, and Scarlett. \"if ((Sophia is a pioneer and Joseph is a pioneer and Michael is a l...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 66, \"statements\": [[\"->\", [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 6]], [\"or\", [\"lying\", 8], [\"lying\", 7]]], [\"telling-truth\", 4]], [\"and\", [\"lying\", 8], [\"or\", [\"lying...
{"split": "train", "index": 15622}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Noah, Owen, Amelia, Penelope, Mason, James, Emma, William, and Sophia. \"Emma is a laggard,\" Noah declared. Owen commented, \"if (if Sophia is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 67, \"statements\": [[\"lying\", 6], [\"->\", [\"->\", [\"telling-truth\", 8], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"<=>\", [\"telling-truth\", 5], [\"not\", [\"lying\", 5]]]], [\"not\", [\"or\", [\"and...
{"split": "train", "index": 15623}
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, James, Evelyn, Isabella, Lucas, Ava, Daniel, and Emma. Mia said, \"(it is not the case that (Emma is a fool and Isabella is a fool and Lucas is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 68, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"lying\", 8], [\"lying\", 4], [\"telling-truth\", 5]]], [\"or\", [\"not\", [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 8], [\"lying\", 6], [\"lying\", 2]]]], [\"or...
{"split": "train", "index": 15624}
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: Jackson, Emma, Chloe, Lily, Daniel, Ethan, Sebastian, Benjamin, and Olivia. \"(if (if Sebastian is a saint then Emma is a sinner) then (if Daniel is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 69, \"statements\": [[\"or\", [\"->\", [\"->\", [\"telling-truth\", 6], [\"lying\", 1]], [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"->\", [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 5]]]], [\"telling-tr...
{"split": "train", "index": 15625}
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: Michael, Emily, Ava, Penelope, Matthew, Harper, David, Lily, and Aurora. Michael said, \"if (if (Penelope is a fool or Aurora is a fool or Ava is a fool) t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 70, \"statements\": [[\"->\", [\"->\", [\"or\", [\"lying\", 3], [\"lying\", 8], [\"lying\", 2]], [\"<=>\", [\"lying\", 8], [\"lying\", 1]]], [\"lying\", 1]], [\"->\", [\"or\", [\"not\", [\"lying\", 2]], [\"not\", [\"lying\", 0...
{"split": "train", "index": 15626}
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: Harper, Liam, Oliver, Sophia, Mason, Zoey, Sebastian, David, and Olivia. \"(it is not the case that (Zoey is a devil)) and ((Olivia is an angel) and (S...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 71, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 5]]], [\"and\", [\"not\", [\"lying\", 8]], [\"and\", [\"telling-truth\", 3], [\"lying\", 6]]]], [\"not\", [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 2]]...
{"split": "train", "index": 15627}
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, Mia, Amelia, Sofia, William, Luke, Liam, Aria, and Oliver. Sebastian told you that it is not the case that (it is not the case that (if William ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 72, \"statements\": [[\"not\", [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 6]]]], [\"->\", [\"->\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 2], [\"lying\", 5]], [\"or\", [\"telling-truth\", 6], [\"telli...
{"split": "train", "index": 15628}
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: Matthew, Amelia, Sebastian, David, Grace, Mia, Ava, Emma, and Sofia. Matthew told you that ((if Mia is a laggard then David is a pioneer) or Se...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 73, \"statements\": [[\"and\", [\"or\", [\"->\", [\"lying\", 5], [\"telling-truth\", 3]], [\"lying\", 2]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]]]], [\"<=>\", [\"lying\", 0], [\"<=>\", [\"->\", [\"t...
{"split": "train", "index": 15629}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: David, Ella, Charlotte, Oliver, Jack, Lucas, Abigail, Sofia, and Michael. David expressed that Michael is an egoist. Ella told you that ((Micha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 74, \"statements\": [[\"lying\", 8], [\"or\", [\"and\", [\"and\", [\"lying\", 8], [\"lying\", 6], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 4], [\"lying\", 8]]], [\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 7]], [\"or\"...
{"split": "train", "index": 15630}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Benjamin, Avery, Lucas, Ella, Luke, Evelyn, David, Lily, and Ethan. Benjamin noted, \"it is not the case that ((David is a laggard or Lily is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 75, \"statements\": [[\"not\", [\"and\", [\"or\", [\"lying\", 6], [\"lying\", 7], [\"telling-truth\", 0]], [\"telling-truth\", 6], [\"and\", [\"telling-truth\", 1], [\"lying\", 6]]]], [\"and\", [\"telling-truth\", 0], [\"or\",...
{"split": "train", "index": 15631}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Aria, Matthew, Oliver, Daniel, Mia, David, Joseph, Penelope, and William. As Aria put it, \"((Penelope is an angel and David is an angel) and (David is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 76, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 5]], [\"and\", [\"lying\", 5], [\"lying\", 7]]], [\"lying\", 1]], [\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 7...
{"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 9 inhabitants: Lucas, Alexander, Emily, Owen, Ella, Luke, Amelia, Scarlett, and Mason. According to Lucas, \"Alexander is a devil or ((Emily is an angel or Emily is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 77, \"statements\": [[\"or\", [\"lying\", 1], [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 6]], [\"or\", [\"telling-truth\", 5], [\"lying\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3...
{"split": "train", "index": 15633}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Daniel, Mason, Liam, Harper, Victoria, Amelia, Mia, Matthew, and Elizabeth. In Daniel's words: \"Liam is a sage\". Mason said, \"(if (Amelia is a sage) the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 78, \"statements\": [[\"not\", [\"lying\", 2]], [\"or\", [\"->\", [\"not\", [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 3], [\"not\", [\"and\", [\"...
{"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 9 inhabitants: Ethan, Amelia, Jacob, Emily, Lily, Henry, Jackson, Grace, and William. Ethan told you that it is not the case that (it is not the case that (if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 79, \"statements\": [[\"not\", [\"not\", [\"->\", [\"lying\", 4], [\"lying\", 3]]]], [\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"lying\", 7], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 5], [...
{"split": "train", "index": 15635}
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: Henry, Lucas, Scarlett, Penelope, Jack, Mia, Amelia, Aiden, and Noah. Henry commented, \"((if Henry is a knight then Noah is a knave) and (Noah is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 80, \"statements\": [[\"or\", [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 3]]], [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 5]], ...
{"split": "train", "index": 15636}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Oliver, Scarlett, James, Liam, Avery, Lily, Mason, Mia, and Emma. \"Avery is a fool,\" Oliver declared. Scarlett said that (if (James is a sage if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 81, \"statements\": [[\"not\", [\"telling-truth\", 4]], [\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 7]]], [\"->\", [\"or\", [\"telling-truth\", 1], ...
{"split": "train", "index": 15637}
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, Victoria, Charlotte, Oliver, Penelope, Scarlett, Alexander, Harper, and Ethan. Michael commented, \"((Victoria is an altruist) if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 82, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"lying\", 1]], [\"lying\", 2]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 0], [\"lying\", 2]]]], [\"telling-truth\", 1...
{"split": "train", "index": 15638}
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, Evelyn, Samuel, Daniel, Chloe, Logan, Noah, Oliver, and Sofia. As Harper put it, \"if Samuel is an altruist then (it is not the case th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 83, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 6]]]], [\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 5]], [\"not\", [\"telling-tr...
{"split": "train", "index": 15639}
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: Jackson, Olivia, Noah, Ethan, Evelyn, Daniel, Elizabeth, Ella, and Aurora. \"(it is not the case that (if Evelyn is an angel then Noah is a devil)) and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 84, \"statements\": [[\"and\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 8]]]], [\"or\", [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 5], [\"...
{"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 9 inhabitants: Oliver, Benjamin, Owen, Daniel, Charlotte, Zoey, Isabella, Amelia, and Grace. \"((if Charlotte is a knight then Owen is a knave) or (Zoey is a knight...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 85, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 5], [\"lying\", 7], [\"telling-truth\", 1]]], [\"lying\", 6]], [\"telling-truth\", 5], [\"->\", [\"->\", [\...
{"split": "train", "index": 15641}
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, William, Evelyn, James, Ella, Avery, Chloe, Sophia, and Abigail. Isabella remarked, \"if Chloe is a devil then (it is not the case that (Ella...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 86, \"statements\": [[\"->\", [\"lying\", 6], [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0], [\"lying\", 5]]]], [\"<=>\", [\"and\", [\"or\", [\"lying\", 8], [\"lying\", 6]], [\"and\", [\"telling-truth\", 1]...
{"split": "train", "index": 15642}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Logan, Scarlett, Aurora, Avery, Noah, Owen, William, James, and Matthew. Logan expressed that (it is not the case that (if James is a fool then Avery is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 87, \"statements\": [[\"or\", [\"not\", [\"->\", [\"lying\", 7], [\"lying\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 0], [\"lying\", 3]], [\"<=>\", [\"lying\", 5], [\"lying\", 6]], [\"or\", [\"lyi...
{"split": "train", "index": 15643}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Aiden, Oliver, Logan, Matthew, Alexander, Harper, Chloe, Benjamin, and Abigail. Aiden remarked, \"Aiden is a pioneer\". Oliver expressed that i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 88, \"statements\": [[\"telling-truth\", 0], [\"->\", [\"or\", [\"lying\", 6], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 1]], [\"not\", [\"lying\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 0]], [\"telli...
{"split": "train", "index": 15644}
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: Penelope, Aurora, Aiden, Victoria, Zoey, Luke, Elizabeth, Emma, and Evelyn. As Penelope put it, \"Elizabeth is a sinner or (it is not the case that (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 89, \"statements\": [[\"or\", [\"lying\", 6], [\"not\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"lying\", 8], [\"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 altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Mia, William, Emma, Henry, Sebastian, Evelyn, Ava, Aurora, and Aiden. According to Mia, \"((if Aurora is an altruist then Sebastian is an egois...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 90, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 7], [\"lying\", 4]], [\"and\", [\"lying\", 5], [\"telling-truth\", 0], [\"telling-truth\", 5]]], [\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 8]], [\"tell...
{"split": "train", "index": 15646}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Luke, Logan, Matthew, Grace, Amelia, Owen, Scarlett, Mia, and Mason. Luke remarked, \"it is not the case that ((if Matthew is a villain then Logan is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 91, \"statements\": [[\"not\", [\"or\", [\"->\", [\"lying\", 2], [\"lying\", 1]], [\"not\", [\"telling-truth\", 5]]]], [\"->\", [\"->\", [\"<=>\", [\"lying\", 8], [\"lying\", 7]], [\"<=>\", [\"lying\", 8], [\"lying\", 6]]], [\...
{"split": "train", "index": 15647}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Grace, Owen, Oliver, Zoey, Olivia, Mason, Sophia, Michael, and David. Grace remarked, \"it is not the case that (it is not the case that (David...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 92, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 0]]]], [\"lying\", 2], [\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 7]], [\"or\", [\"telling-truth\", 3], [\"te...
{"split": "train", "index": 15648}
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: Lily, Liam, Alexander, Abigail, Owen, Jack, Samuel, Emily, and Aria. Lily asserted: \"if Aria is an altruist then (Jack is an egoist or (Alexan...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 93, \"statements\": [[\"->\", [\"telling-truth\", 8], [\"or\", [\"lying\", 5], [\"not\", [\"telling-truth\", 2]]]], [\"->\", [\"or\", [\"not\", [\"lying\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"->\", [\"n...
{"split": "train", "index": 15649}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Daniel, Alexander, Chloe, Jacob, Zoey, Avery, Sebastian, Luke, and Sophia. \"Luke is a fool and (if Alexander is a sage then (Chloe is a fool and Chloe is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 94, \"statements\": [[\"and\", [\"lying\", 7], [\"->\", [\"telling-truth\", 1], [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 7]], [\"and\", [...
{"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 9 inhabitants: Joseph, Zoey, Grace, Mason, Penelope, Benjamin, Noah, Ava, and Riley. In Joseph's words: \"((Grace is a fool and Ava is a fool) if and only if (Ava is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 95, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"lying\", 2], [\"lying\", 7]], [\"and\", [\"telling-truth\", 7], [\"lying\", 2]]], [\"lying\", 3]], [\"not\", [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", ...
{"split": "train", "index": 15651}
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, Mia, Logan, Penelope, Owen, Michael, Sofia, Samuel, and Riley. \"(it is not the case that (Michael is a knight or Logan is a knave or Mia is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 96, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 5], [\"lying\", 2], [\"lying\", 1]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 8], [\"lying\", 3]], [\"telling-truth\", 2]], [\"or\", ...
{"split": "train", "index": 15652}
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: Henry, Charlotte, Logan, Scarlett, David, Aria, Chloe, Lucas, and Matthew. Henry said, \"if (if (Logan is a laggard if and only if Charlotte is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 97, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"not\", [\"lying\", 6]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 7]...
{"split": "train", "index": 15653}
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: Jack, Chloe, Elizabeth, Scarlett, Luke, Logan, Sophia, Avery, and Evelyn. Jack was heard saying, \"if ((if Evelyn is a saint then Chloe is a sinner) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 98, \"statements\": [[\"->\", [\"or\", [\"->\", [\"telling-truth\", 8], [\"lying\", 1]], [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"lying\", 7]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3], [\"lying\", 7]]], [\"...
{"split": "train", "index": 15654}
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: Ethan, Owen, Aiden, Lucas, Mia, Riley, Sofia, Mason, and Sophia. Ethan commented, \"((Lucas is an egoist or Riley is an altruist or Owen is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 99, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 3], [\"lying\", 7]]], [\"<=>\", [\"or\", [\"telling-truth\", 6], [\"lying\", 5], [\...
{"split": "train", "index": 15655}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Logan, Riley, Amelia, Aiden, Jacob, David, Ava, Alexander, and Ethan. \"if (it is not the case that (if Jacob is a knight then Amelia is a knave)) th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 100, \"statements\": [[\"->\", [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 6], [\"telling-truth\", 2]], [\"not\", [\"lying\", 5]]]], [\"and\", [\"<=>\", [...
{"split": "train", "index": 15656}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Jackson, Riley, Owen, Aiden, David, Lucas, Lily, Benjamin, and Noah. Jackson expressed that (if Jackson is a knight then (if Aiden is a knave then Ow...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 101, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 5]]], [\"and\", [\"telling-truth\", ...
{"split": "train", "index": 15657}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: David, Emily, Mia, Emma, Michael, Ethan, Sophia, Logan, and Penelope. David noted, \"(Logan is a pioneer if and only if (Ethan is a laggard if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 102, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 7], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 7]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 1], [\"lying...
{"split": "train", "index": 15658}
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: Elizabeth, Joseph, Jacob, Sebastian, Sophia, Lucas, James, Emily, and Luke. Elizabeth commented, \"((Joseph is a saint) or (Luke is a sinner) or (if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 103, \"statements\": [[\"or\", [\"or\", [\"not\", [\"lying\", 1]], [\"not\", [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 8]]], [\"telling-truth\", 1], [\"or\", [\"<=>\", [\"telling-truth\", 8]...
{"split": "train", "index": 15659}
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: Amelia, Avery, David, Olivia, William, James, Charlotte, Mason, and Alexander. Amelia remarked, \"((Alexander is a devil and David is a devil) if and o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 104, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"lying\", 8], [\"lying\", 2]], [\"and\", [\"lying\", 6], [\"lying\", 1], [\"lying\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 8], [\"lying\", 8]...
{"split": "train", "index": 15660}
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: Ethan, Scarlett, Logan, Lucas, Oliver, Ava, Riley, Matthew, and Isabella. Ethan commented, \"it is not the case that ((if Scarlett is an altrui...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 105, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]]], [\"not\", [\"or\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 8]...
{"split": "train", "index": 15661}
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, Joseph, Aiden, Emma, Amelia, Chloe, Isabella, Mia, and Owen. In a statement by Matthew: \"Aiden is an angel and (Chloe is a devil if and only ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 106, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 5], [\"or\", [\"lying\", 5], [\"lying\", 6], [\"lying\", 1]]], [\"and\", [\"telling-truth\", 0], [\"or\", [\"lying\", 2], [\"telling-truth\", 7]]]],...
{"split": "train", "index": 15662}
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, Grace, Jacob, Aiden, Daniel, Harper, Ethan, William, and Lily. As Noah put it, \"Jacob is a sinner\". \"if (Lily is a sinner) then Noah is a sa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 107, \"statements\": [[\"lying\", 2], [\"->\", [\"not\", [\"telling-truth\", 8]], [\"telling-truth\", 0]], [\"lying\", 7], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 6]], [\"<=>\", [\"not\", [\"<=>\", [\"lying\", 7],...
{"split": "train", "index": 15663}
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: Ella, Jackson, Lucas, Scarlett, Michael, Grace, Ava, Mason, and Aiden. Ella said that Jackson is a pioneer. Jackson said that Scarlett is a pio...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 108, \"statements\": [[\"not\", [\"lying\", 1]], [\"and\", [\"telling-truth\", 3], [\"->\", [\"<=>\", [\"lying\", 0], [\"lying\", 3]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]]]], [\"->\", [\"telling-truth\", 0...
{"split": "train", "index": 15664}
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: Lily, Ethan, Sebastian, Scarlett, Chloe, William, Emma, Joseph, and Daniel. Lily was heard saying, \"if (it is not the case that (if Chloe is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 109, \"statements\": [[\"->\", [\"not\", [\"->\", [\"lying\", 4], [\"lying\", 6]]], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]]]], [\"or\", [\"not\", [\"or\", [\"lying\...
{"split": "train", "index": 15665}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Logan, Amelia, Chloe, Jackson, Lily, Sofia, Liam, Aiden, and Emily. In Logan's words: \"((Jackson is a knave and Emily is a knight) or (Liam is a kni...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 110, \"statements\": [[\"and\", [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 6], [\"lying\", 8]]], [\"or\", [\"or\", [\"lying\", 6], [\"lying\", 7]], [\"->\", [\"lying\", 3], [\"tel...
{"split": "train", "index": 15666}
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: Henry, Liam, Owen, Harper, Ella, Amelia, Aiden, Chloe, and Matthew. Henry said that (Matthew is a knave if and only if (Matthew is a knight and Matth...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 111, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 8], [\"and\", [\"telling-truth\", 8], [\"lying\", 8], [\"telling-truth\", 4]]], [\"lying\", 6]], [\"not\", [\"<=>\", [\"lying\", 8], [\"not\", [\"lying\", 7]]]], [\"or\", [...
{"split": "train", "index": 15667}
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: Emily, Sophia, Aria, Logan, Victoria, Zoey, Sofia, Lucas, and James. Emily said, \"(if (Victoria is a villain or Zoey is a hero) then (Zoey is a hero...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 112, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 3], [\"lying\", 8]]], [\"<=>\", [\"not\", [\"lying\", 5]], [\"or\", [\"telling-tru...
{"split": "train", "index": 15668}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Grace, Owen, Aria, Michael, Daniel, Sophia, Ella, Penelope, and Ethan. Grace expressed that Michael is a villain. \"Aria is a villain if and only if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 113, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"or\", [\"and\", [\"lying\", 4], [\"lying\", 2]], [\"->\", [\"telling-truth\", 5], [\"lying\", 6]]]], [\"not\", [\"->\", [\"and\", [\"lying\"...
{"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 9 inhabitants: Joseph, Avery, Sebastian, Ella, Penelope, Grace, Lily, Ava, and Olivia. Joseph asserted: \"(it is not the case that (Ava is a knight and Olivia is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 114, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 8], [\"lying\", 2]]], [\"->\", [\"->\", [\"lying\", 8], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"telling-truth...
{"split": "train", "index": 15670}
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, Zoey, David, Elizabeth, Sebastian, Daniel, James, Ethan, and Abigail. In a statement by Henry: \"if ((Abigail is an egoist or Ethan is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 115, \"statements\": [[\"->\", [\"and\", [\"or\", [\"lying\", 8], [\"telling-truth\", 7], [\"lying\", 6]], [\"->\", [\"lying\", 5], [\"lying\", 3]]], [\"lying\", 1]], [\"not\", [\"and\", [\"not\", [\"lying\", 2]], [\"lying\", ...
{"split": "train", "index": 15671}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Owen, Penelope, Olivia, Harper, Emma, Charlotte, Daniel, Benjamin, and Emily. \"(Olivia is a sinner) and (Penelope is a sinner if and only if (Daniel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 116, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 3]]], [\"->\", [\"->\", [\"lying\", 2], [\"lying\", 6]], [\"or\", [\"telling-tr...
{"split": "train", "index": 15672}
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: Lucas, Emily, Avery, Sofia, Mason, Benjamin, Chloe, Luke, and Aiden. Lucas said, \"Chloe is a devil or ((Emily is a devil) or (Chloe is an angel or Sof...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 117, \"statements\": [[\"or\", [\"lying\", 6], [\"or\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 6], [\"lying\", 3]], [\"lying\", 3]]], [\"lying\", 7], [\"lying\", 3], [\"and\", [\"not\", [\"<=>\", [\"ly...
{"split": "train", "index": 15673}
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, Joseph, Elizabeth, David, Aurora, Oliver, Penelope, Noah, and Daniel. According to Isabella, \"((David is a devil) and (if Isabella is an ang...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 118, \"statements\": [[\"and\", [\"and\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 0], [\"lying\", 5]], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 8]], [\"and\", [\...
{"split": "train", "index": 15674}
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: Victoria, Jackson, Jack, Owen, Evelyn, Isabella, Elizabeth, Charlotte, and James. Victoria was heard saying, \"((if Victoria is a sage then Owen is a sage)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 119, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"not\", [\"lying\", 6]]], [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 8], [\"telling-t...
{"split": "train", "index": 15675}
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: Ava, Ella, Scarlett, Harper, Luke, Sophia, Daniel, Mia, and Emma. According to Ava, \"(if (Emma is a hero if and only if Scarlett is a hero) then (Ha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 120, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"lying\", 1]], [\"->\", [\"telling-truth\", ...
{"split": "train", "index": 15676}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Mia, Harper, Sebastian, Owen, Aurora, David, Aiden, Noah, and Logan. Mia noted, \"(it is not the case that (Sebastian is an egoist)) or (it is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 121, \"statements\": [[\"or\", [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"not\", [\"->\", [\"lying\", 7], [\"lying\", 8]]]], [\"and\", [\"and\", [\"->\", [\"ly...
{"split": "train", "index": 15677}
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, Lucas, Liam, Ava, Michael, Oliver, Harper, Henry, and Samuel. Jack commented, \"Liam is an egoist\". Lucas expressed that (Henry is an eg...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 122, \"statements\": [[\"lying\", 2], [\"and\", [\"and\", [\"lying\", 7], [\"and\", [\"telling-truth\", 7], [\"lying\", 8]], [\"<=>\", [\"lying\", 6], [\"lying\", 5]]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\...
{"split": "train", "index": 15678}
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: Joseph, Ava, Aurora, Aria, David, Emily, Charlotte, Riley, and Jacob. \"((Emily is a knave and Charlotte is a knave and Charlotte is a knight) and (R...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 123, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"lying\", 5], [\"lying\", 6], [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"t...
{"split": "train", "index": 15679}
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, Henry, James, Jacob, Noah, Abigail, William, Owen, and Ethan. According to Ella, \"(Ethan is an altruist and (Henry is an altruist and Ow...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 124, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 8], [\"and\", [\"telling-truth\", 1], [\"lying\", 7]], [\"not\", [\"lying\", 8]]], [\"->\", [\"<=>\", [\"lying\", 8], [\"lying\", 4]], [\"not\", [\"telling-truth\",...
{"split": "train", "index": 15680}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Aurora, Evelyn, Lily, Logan, Jack, Charlotte, Harper, Sofia, and James. As Aurora put it, \"Lily is a sage\". \"(if (Lily is a fool) then (Harper is a sage...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 125, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 6]]], [\"->\", [\"<=>\", [\"lying\", 0], [\"lying\", 2]], [\"and\", [\"lying\", 4], [\"telling-truth\", 2...
{"split": "train", "index": 15681}
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: Mia, Victoria, Jacob, Daniel, Zoey, Emily, Samuel, Abigail, and Michael. \"Emily is a devil,\" Mia declared. \"if Victoria is an angel then (it is not ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 126, \"statements\": [[\"lying\", 5], [\"->\", [\"telling-truth\", 1], [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 8], [\"lying\", 2]]]], [\"or\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\...
{"split": "train", "index": 15682}
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: Amelia, Evelyn, Samuel, Michael, Emily, Daniel, Mason, Jackson, and Liam. Amelia told you that Mason is a devil. In a statement by Evelyn: \"it is not ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 127, \"statements\": [[\"lying\", 6], [\"not\", [\"and\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 8]], [\"telling-truth\", 5]]], [\"or\", [\"->\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"not\", [\"ly...
{"split": "train", "index": 15683}
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: Daniel, Charlotte, Ava, James, Victoria, Jacob, Mason, Sofia, and Harper. Daniel remarked, \"Ava is a hero or Mason is a villain or ((if Charlotte is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 128, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"lying\", 6], [\"<=>\", [\"->\", [\"lying\", 1], [\"lying\", 7]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 0]]]], [\"<=>\", [\"telling-truth\", 5], [\"and\",...
{"split": "train", "index": 15684}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: William, Alexander, Lily, Liam, Michael, David, Harper, Mason, and Emma. William commented, \"(Mason is a hero and (Emma is a villain if and only if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 129, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 7], [\"<=>\", [\"lying\", 8], [\"lying\", 6]], [\"not\", [\"telling-truth\", 8]]], [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling...
{"split": "train", "index": 15685}
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, Olivia, Mia, Sophia, Benjamin, Riley, Scarlett, Abigail, and Jack. As Alexander put it, \"((Scarlett is a knight and Benjamin is a knave) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 130, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 6], [\"lying\", 4]], [\"->\", [\"lying\", 6], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"lying\", 2...
{"split": "train", "index": 15686}
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: Mason, Lily, Henry, Emily, Olivia, Logan, Amelia, Jack, and Oliver. \"((Olivia is a knave if and only if Oliver is a knight) if and only if (Jack is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 131, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 8]]], [\"->\", [\"lying\", 7], [\"or\", [\"telling-truth\", 2], [\"lying\", 1]]]...
{"split": "train", "index": 15687}
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: Mason, Scarlett, Owen, Michael, Jack, Olivia, Aria, Liam, and Amelia. Mason asserted: \"(Liam is an angel if and only if (Michael is an angel if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 132, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 7], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"telling-truth\", 2], [\"or\", [\"or\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 5]], [\...
{"split": "train", "index": 15688}
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: Ethan, James, Benjamin, Avery, Luke, Grace, Samuel, Daniel, and Abigail. Ethan remarked, \"(if James is a sage then (Samuel is a fool)) and (Abigail is a f...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 133, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 6]]], [\"not\", [\"telling-truth\", 8]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 4]]]], [\"->\", ...
{"split": "train", "index": 15689}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Penelope, Aria, Ethan, Harper, Oliver, Lucas, Daniel, James, and Liam. Penelope said, \"it is not the case that ((if Penelope is a sage then Liam is a fool...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 134, \"statements\": [[\"not\", [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 8]], [\"lying\", 1]]], [\"or\", [\"or\", [\"lying\", 8], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"lying\", 0]]], [\"lying\", 4], [\...
{"split": "train", "index": 15690}
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: Amelia, Jack, David, Benjamin, Oliver, Scarlett, Liam, Ethan, and Emily. In a statement by Amelia: \"if ((Emily is an egoist) if and only if (B...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 135, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"telling-truth\", 1]]]], [\"->\", [\"telling-...
{"split": "train", "index": 15691}
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, Michael, Olivia, Ethan, Joseph, William, Zoey, Oliver, and Avery. According to Ella, \"Olivia is a sage\". Michael said, \"Ella is a sage.\" Accordin...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 136, \"statements\": [[\"telling-truth\", 2], [\"telling-truth\", 0], [\"and\", [\"->\", [\"or\", [\"lying\", 7], [\"lying\", 4]], [\"->\", [\"telling-truth\", 3], [\"lying\", 5]]], [\"->\", [\"and\", [\"lying\", 6], [\"tellin...
{"split": "train", "index": 15692}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Evelyn, Lucas, Avery, Riley, Ethan, Jacob, Matthew, Logan, and Isabella. Evelyn expressed that if (if (Avery is a sinner if and only if Logan is a si...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 137, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 6], [\"<=>\", [\"or\", [\"tel...
{"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 9 inhabitants: Emily, Victoria, Isabella, Abigail, Oliver, Luke, Henry, Lily, and Lucas. As Emily put it, \"it is not the case that (Victoria is a knight or Lily is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 138, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 7], [\"or\", [\"telling-truth\", 1], [\"lying\", 1], [\"lying\", 8]]]], [\"->\", [\"<=>\", [\"lying\", 7], [\"and\", [\"lying\", 0], [\"telli...
{"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 9 inhabitants: Lily, Grace, William, Michael, Daniel, Olivia, Aria, Jacob, and Lucas. \"if ((if Jacob is a knight then Olivia is a knave) and (Aria is a knight or O...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 139, \"statements\": [[\"->\", [\"and\", [\"->\", [\"telling-truth\", 7], [\"lying\", 5]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 5]], [\"telling-truth\", 8]], [\"and\", [\"lying\", 6], [\"or\", [\"lying\", 7], [...
{"split": "train", "index": 15695}
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: Owen, Isabella, Lily, Amelia, Grace, Sofia, Jack, Benjamin, and Jackson. In a statement by Owen: \"Benjamin is a knight\". \"Grace is a knight,\" Isa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 140, \"statements\": [[\"telling-truth\", 7], [\"telling-truth\", 4], [\"->\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 0]], [\"telling-truth\", 1]], [\"->\", [\"not\", [\"telling-truth\", 6]], [\"or\", [\"lying\"...
{"split": "train", "index": 15696}
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, Zoey, Aurora, Oliver, Aiden, Noah, Charlotte, Victoria, and Evelyn. Ella said that ((Aiden is an angel and Aurora is an angel) if and only if (Zo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 141, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 8]]...
{"split": "train", "index": 15697}
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, Sebastian, Victoria, Emma, Mason, Mia, Oliver, Abigail, and Logan. Jack told you that Abigail is an altruist. Sebastian remarked, \"it is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 142, \"statements\": [[\"telling-truth\", 7], [\"not\", [\"and\", [\"<=>\", [\"lying\", 8], [\"lying\", 7]], [\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 4]], [\"or\", [\"lying\", 0], [\"lying\", 4]]]], [\"<=>\...
{"split": "train", "index": 15698}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Evelyn, Alexander, Ava, Zoey, Aiden, Liam, Riley, Abigail, and Ethan. Evelyn remarked, \"if ((Liam is a sinner or Evelyn is a saint or Liam is a sain...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 143, \"statements\": [[\"->\", [\"or\", [\"or\", [\"lying\", 5], [\"telling-truth\", 0], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"lying\", 3], [\...
{"split": "train", "index": 15699}