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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: Alexander, Noah, Ella, Olivia, James, Logan, Evelyn, Ethan, and Michael. Alexander expressed that ((Logan is an angel) if and only if (if Olivia is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1244, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"lying\", 5]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 5]]], [\"<=>\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\"...
{"split": "train", "index": 16800}
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, Abigail, Alexander, William, Olivia, Logan, Benjamin, Jacob, and Oliver. Elizabeth expressed that Logan is a devil if and only if (if (Olivi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1245, \"statements\": [[\"<=>\", [\"lying\", 5], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 8]]]], [\"and\", [\"and\", [\"or\", [\"lying\", 5], [\"lying\", 0]], [\"not\", [\"lying\", 2]], [\"<=>\", [\"ly...
{"split": "train", "index": 16801}
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: James, Oliver, Penelope, Lucas, Sophia, Owen, Henry, Aurora, and Elizabeth. James remarked, \"(if (Penelope is a sage if and only if Oliver is a fool) then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1246, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 6], [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telli...
{"split": "train", "index": 16802}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Logan, Grace, Liam, Avery, Ava, Joseph, Evelyn, Michael, and Aiden. Logan asserted: \"if ((Avery is a sinner if and only if Aiden is a sinner) if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1247, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"lying\", 3], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 7]]], [\"->\", [\"->\", [\"lying\", 2], [\"lying\", 6]], [\"<=>\", [\"lying\", 4], [\"telling-t...
{"split": "train", "index": 16803}
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: Jacob, Riley, Luke, Logan, William, Penelope, Aria, Matthew, and Noah. \"((William is a devil) or (Penelope is an angel or Logan is an angel or Jacob i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1248, \"statements\": [[\"or\", [\"or\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 7]]], [\"telling-truth\", 4]], [\"tell...
{"split": "train", "index": 16804}
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, Matthew, Jack, Alexander, Chloe, Avery, Michael, Samuel, and Oliver. In a statement by Joseph: \"it is not the case that (Michael is a fool if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1249, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 6], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 5]]]], [\"->\", [\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"lying\", ...
{"split": "train", "index": 16805}
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, James, Aria, Charlotte, Jackson, Victoria, Grace, Daniel, and Sofia. Matthew remarked, \"it is not the case that ((Daniel is a laggard...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1250, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 5], [\"lying\", 3], [\"lying\", 1]]]], [\"or\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 6]], [\"not\", ...
{"split": "train", "index": 16806}
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, Logan, Penelope, Scarlett, David, Michael, Daniel, Ava, and Samuel. According to Chloe, \"(if (if Samuel is a saint then Michael is a saint) t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1251, \"statements\": [[\"and\", [\"->\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 5]], [\"lying\", 8]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 5]], [\"and\", [\"lying\", 3], [\"<=>\", [\"lying\", 7],...
{"split": "train", "index": 16807}
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, Alexander, Oliver, Matthew, Isabella, Aria, Sofia, Noah, and Victoria. As Mason put it, \"((Matthew is a knight if and only if Alexander is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1252, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 2]]], [\"or\", [\"->\", [\"lying\", 5], [\"lying\", 7]], [\"<=>\", [\"telling-...
{"split": "train", "index": 16808}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Emily, Mason, Sophia, Riley, Jack, Grace, Liam, Sofia, and Noah. Emily was heard saying, \"Riley is a sinner\". In Mason's words: \"if ((if Sofia is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1253, \"statements\": [[\"lying\", 3], [\"->\", [\"and\", [\"->\", [\"lying\", 7], [\"lying\", 2]], [\"not\", [\"telling-truth\", 0]], [\"lying\", 0]], [\"or\", [\"or\", [\"telling-truth\", 7], [\"lying\", 2], [\"telling-truth...
{"split": "train", "index": 16809}
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, Owen, Ava, Amelia, David, William, Sofia, Henry, and Noah. \"(it is not the case that (Henry is a hero or Owen is a villain)) if and only if (i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1254, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 7], [\"lying\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 6]], [\"lying\", 5]]], [\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 0], [\...
{"split": "train", "index": 16810}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Isabella, Zoey, Riley, Luke, Aiden, Chloe, Ella, Sofia, and Daniel. Isabella stated, \"((if Ella is a sage then Chloe is a fool) if and only if (Zoey is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1255, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 6], [\"lying\", 5]], [\"and\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"lying\", 5]], [\"or\", [\"->\", [\"and\", [\"lying\", 2], [\"lying\", 3], [\"t...
{"split": "train", "index": 16811}
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: Michael, Aiden, Elizabeth, Grace, David, Sebastian, Sophia, Samuel, and Aria. Michael told you that (it is not the case that (Grace is a villain if a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1256, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 4]]]], [\"and\", [\"->\", [\"not\", [\"t...
{"split": "train", "index": 16812}
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, Jacob, Jackson, Aiden, William, Mia, Olivia, Harper, and Zoey. In Michael's words: \"Jacob is a fool\". \"if (if (Mia is a sage if and only if Aid...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1257, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"telling-truth\", 4]], [\"<=>\", [\"or\", [\"lying\", 0], [\"telling-truth\", 1]], [\"lyi...
{"split": "train", "index": 16813}
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: Ethan, Chloe, Avery, Elizabeth, Abigail, Ava, Jack, Harper, and Emma. \"((Emma is a villain if and only if Ava is a villain) and (Emma is a hero) and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1258, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"lying\", 8], [\"lying\", 5]], [\"not\", [\"lying\", 8]], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"lying\", 2]], [\"and\", [\"->\", [\"lying\", 1], [\"telling-truth...
{"split": "train", "index": 16814}
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, Joseph, Aurora, Avery, Sebastian, Jacob, Michael, Isabella, and Olivia. Ella noted, \"Aurora is a sage or Isabella is a sage\". \"Jacob is a fool,\" ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1259, \"statements\": [[\"or\", [\"telling-truth\", 2], [\"telling-truth\", 7]], [\"lying\", 5], [\"or\", [\"->\", [\"telling-truth\", 7], [\"lying\", 3]], [\"and\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 0]], [\"and\",...
{"split": "train", "index": 16815}
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, Ava, Ethan, Daniel, Elizabeth, Riley, Ella, Liam, and Charlotte. Joseph told you that ((Liam is an angel or Riley is a devil) or (if Riley is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1260, \"statements\": [[\"or\", [\"or\", [\"or\", [\"telling-truth\", 7], [\"lying\", 5]], [\"->\", [\"lying\", 5], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"lyi...
{"split": "train", "index": 16816}
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: Lucas, Ava, Riley, Sofia, Ella, Henry, Matthew, Abigail, and Noah. In Lucas's words: \"(it is not the case that (Abigail is a villain)) and (Lucas is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1261, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 7]]], [\"not\", [\"telling-truth\", 0]], [\"lying\", 3]], [\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 3], [\"lying\", 0]], [...
{"split": "train", "index": 16817}
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: David, Liam, Oliver, Aurora, Ella, Amelia, Avery, Evelyn, and Mia. David remarked, \"if ((Evelyn is a devil if and only if Liam is a devil) if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1262, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"lying\", 7], [\"lying\", 1]], [\"or\", [\"lying\", 7], [\"telling-truth\", 5], [\"lying\", 1]]], [\"lying\", 1]], [\"not\", [\"lying\", 4]], [\"and\", [\"or\", [\"and\", [...
{"split": "train", "index": 16818}
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: Matthew, Victoria, Isabella, Ella, Elizabeth, Owen, Mason, Henry, and David. Matthew noted, \"Victoria is a sinner\". \"((Owen is a sinner and Ella i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1263, \"statements\": [[\"lying\", 1], [\"or\", [\"and\", [\"and\", [\"lying\", 5], [\"lying\", 3]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"lying\", 0]], [\"<=>\", [\"or\", [\"telling-truth\", 8], [\"lyi...
{"split": "train", "index": 16819}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Grace, Amelia, Joseph, Victoria, Lucas, Jackson, Evelyn, Sofia, and Michael. Grace commented, \"(it is not the case that (Joseph is a knave or Michae...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1264, \"statements\": [[\"and\", [\"not\", [\"or\", [\"lying\", 2], [\"lying\", 8], [\"telling-truth\", 6]]], [\"<=>\", [\"<=>\", [\"lying\", 5], [\"lying\", 6]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"l...
{"split": "train", "index": 16820}
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, Henry, Joseph, Grace, Daniel, David, Mason, Elizabeth, and Sophia. Riley stated, \"it is not the case that (it is not the case that (Henry is a sage...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1265, \"statements\": [[\"not\", [\"not\", [\"not\", [\"lying\", 1]]]], [\"->\", [\"not\", [\"not\", [\"telling-truth\", 7]]], [\"or\", [\"and\", [\"telling-truth\", 5], [\"lying\", 8], [\"telling-truth\", 4]], [\"telling-trut...
{"split": "train", "index": 16821}
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: Ethan, Aiden, Scarlett, Abigail, Joseph, Ella, Chloe, Owen, and Lucas. \"it is not the case that ((Ella is a villain and Ethan is a hero) if and only...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1266, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"lying\", 5], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 2], [\"lying\", 8]]]], [\"and\", [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 6]], [\...
{"split": "train", "index": 16822}
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, Matthew, Charlotte, Grace, Jacob, Luke, Penelope, Sofia, and Chloe. Noah noted, \"(it is not the case that (Charlotte is a laggard or Jac...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1267, \"statements\": [[\"and\", [\"not\", [\"or\", [\"lying\", 2], [\"lying\", 4], [\"telling-truth\", 6]]], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 6], [\"lying\", 5]]]], [\"lying\", ...
{"split": "train", "index": 16823}
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, Jackson, Sophia, Emma, Charlotte, Amelia, Elizabeth, Penelope, and Ava. \"((Penelope is a sinner) and Ava is a sinner) if and only if (Penelope...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1268, \"statements\": [[\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 7]], [\"lying\", 8]], [\"or\", [\"lying\", 7], [\"->\", [\"lying\", 1], [\"lying\", 5]], [\"->\", [\"telling-truth\", 7], [\"lying\", 5]]]], [\"and\", [\...
{"split": "train", "index": 16824}
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: Sophia, Harper, Noah, Luke, Aria, Zoey, Charlotte, Samuel, and Amelia. Sophia asserted: \"if (Charlotte is a knight or (Amelia is a knight) or (Aria ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1269, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 6], [\"not\", [\"lying\", 8]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"lying\", 8], [\"lying\", 7]]...
{"split": "train", "index": 16825}
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, Scarlett, Grace, Alexander, Charlotte, Aurora, William, and Evelyn. Mia asserted: \"if (it is not the case that (Mia is a fool)) then (if (Auro...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1270, \"statements\": [[\"->\", [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 8]], [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"lying\", 3]]]], [\"not\", [\...
{"split": "train", "index": 16826}
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: Victoria, Scarlett, Abigail, Riley, Emily, Lily, Penelope, Ava, and Jacob. \"(Ava is a villain and (Jacob is a villain) and (Abigail is a villain if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1271, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 7], [\"not\", [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 7]]], [\"or\", [\"and\", [\"lying\", 5], [\"telling-truth\", 4]], [\"or\", [\"lying\",...
{"split": "train", "index": 16827}
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: Riley, David, Noah, Matthew, Emily, Victoria, Abigail, Isabella, and Aurora. As Riley put it, \"((Isabella is a knight or Victoria is a knave or Noah...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1272, \"statements\": [[\"and\", [\"or\", [\"or\", [\"telling-truth\", 7], [\"lying\", 5], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 5], [\"lying\", 2]]], [\"->\", [\"not\", [\"lying\", 2]]...
{"split": "train", "index": 16828}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Chloe, Joseph, David, Jack, Victoria, Harper, Lily, Elizabeth, and Riley. Chloe stated, \"Jack is a hero\". \"it is not the case that (it is not the ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1273, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"not\", [\"->\", [\"lying\", 0], [\"telling-truth\", 5]]]], [\"or\", [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 8]]], [\"lying\", 4]], [\"->\", [\"and\", ...
{"split": "train", "index": 16829}
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: Victoria, Logan, Olivia, Amelia, James, Noah, Zoey, Isabella, and Grace. Victoria said that James is a sinner. According to Logan, \"((Logan is a sai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1274, \"statements\": [[\"lying\", 4], [\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 7]]], [\"and\", [\"->\", [\"telling-truth\", 6]...
{"split": "train", "index": 16830}
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: Logan, Aurora, Lily, Matthew, Ella, Harper, William, David, and Lucas. In Logan's words: \"it is not the case that ((David is an altruist and W...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1275, \"statements\": [[\"not\", [\"and\", [\"and\", [\"telling-truth\", 7], [\"lying\", 6], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]], [\"telling-truth\", 0]]], [\"or\", [\"<=>\", [\"->\", [\"telling-...
{"split": "train", "index": 16831}
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, Abigail, Benjamin, Lucas, Penelope, David, Riley, Henry, and Alexander. Jacob remarked, \"(Henry is a saint if and only if (if Riley is a sinn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1276, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 7], [\"->\", [\"lying\", 6], [\"lying\", 5]]], [\"telling-truth\", 4]], [\"<=>\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"or\", [\"lying\", 0], [\"lying\", 7], [\"...
{"split": "train", "index": 16832}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Abigail, Joseph, Jacob, Logan, James, Aria, Emma, William, and Chloe. \"(if (James is an angel and William is an angel and Chloe is an angel) then (Wil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1277, \"statements\": [[\"and\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 3], [\"telling-truth\", 6]]], [\"not\", [\"->\",...
{"split": "train", "index": 16833}
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: Harper, Alexander, James, Scarlett, Victoria, Jack, Logan, Penelope, and Sofia. Harper was heard saying, \"((Scarlett is a knave or James is a knave)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1278, \"statements\": [[\"<=>\", [\"<=>\", [\"or\", [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 6]]], [\"telling-truth\", 8]], [\"not\", [\"->\", [\"lying\", 4], [\"and\", [\"lying\", 2], [\"...
{"split": "train", "index": 16834}
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: William, Emily, Ethan, Joseph, Noah, Logan, Mason, Sofia, and Daniel. \"(if (Mason is a fool if and only if Noah is a sage) then (Ethan is a sage or Mason ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1279, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 6], [\"telling-truth\", 5]]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"tell...
{"split": "train", "index": 16835}
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, Alexander, Emma, Avery, Evelyn, Emily, Mason, Logan, and Olivia. Lily expressed that ((Olivia is a saint and Avery is a sinner and Evelyn is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1280, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 8], [\"lying\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"or...
{"split": "train", "index": 16836}
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, Chloe, Michael, Lucas, Owen, James, Sebastian, Elizabeth, and Jackson. Joseph said, \"Sebastian is a pioneer.\" \"(if (Sebastian is a l...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1281, \"statements\": [[\"telling-truth\", 6], [\"or\", [\"->\", [\"not\", [\"telling-truth\", 6]], [\"telling-truth\", 2]], [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"<=>...
{"split": "train", "index": 16837}
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: Victoria, Abigail, Michael, Jack, Elizabeth, Luke, William, Sophia, and Aurora. \"(if (Aurora is a villain or Sophia is a hero) then Michael is a vil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1282, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"lying\", 8], [\"telling-truth\", 7]], [\"lying\", 2]], [\"<=>\", [\"and\", [\"telling-truth\", 6], [\"lying\", 1], [\"telling-truth\", 1]], [\"not\", [\"lying\", 7]]]], [\"...
{"split": "train", "index": 16838}
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, Oliver, Abigail, Samuel, Harper, Grace, Avery, Sebastian, and Elizabeth. Evelyn said that it is not the case that (Harper is a pioneer)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1283, \"statements\": [[\"not\", [\"not\", [\"lying\", 4]]], [\"or\", [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 6], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"or\", [...
{"split": "train", "index": 16839}
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, Aiden, Riley, Harper, David, Matthew, Ethan, Sebastian, and Zoey. \"if (Sebastian is an egoist if and only if (Harper is an egoist)) then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1284, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 7], [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"lying\", 8]], [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"telli...
{"split": "train", "index": 16840}
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: Olivia, Lucas, Grace, Riley, Jackson, Aurora, Elizabeth, Ethan, and Owen. Olivia told you that if ((Ethan is a fool) and (Lucas is a sage or Grace is a sag...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1285, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 6]]], [\"->\", [\"->\", [\"telling-tr...
{"split": "train", "index": 16841}
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: Jacob, Henry, Sofia, Jackson, Aria, David, James, Benjamin, and Chloe. Jacob stated, \"((David is a pioneer and Aria is a pioneer) if and only ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1286, \"statements\": [[\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"lying\", 3]], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"not\", [\"lying\", 3]]]], [\"->\", [\...
{"split": "train", "index": 16842}
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: Emily, Riley, Penelope, Lily, Abigail, Benjamin, Sofia, Amelia, and Ava. As Emily put it, \"Riley is an egoist and (Amelia is an altruist or (A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1287, \"statements\": [[\"and\", [\"lying\", 1], [\"or\", [\"telling-truth\", 7], [\"or\", [\"telling-truth\", 8], [\"lying\", 6]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 3], [\"telling-truth\", 0]]]], [\"or\", [...
{"split": "train", "index": 16843}
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: Lucas, Owen, Mia, Emily, Samuel, Evelyn, Aiden, Jack, and Abigail. Lucas noted, \"((Evelyn is a hero if and only if Aiden is a hero) or (Evelyn is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1288, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 8]]], [\"or\", [\"not\", [\"lying\", 7]], [\"telling-truth\", 0], [\"<=>...
{"split": "train", "index": 16844}
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, Sophia, Lily, Luke, Evelyn, Harper, Aiden, Samuel, and Benjamin. In a statement by Mia: \"((Benjamin is a sage) if and only if (Sophia is a sage)) or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1289, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"lying\", 8]], [\"not\", [\"lying\", 1]]], [\"and\", [\"lying\", 1], [\"->\", [\"telling-truth\", 7], [\"lying\", 7]]], [\"lying\", 8]], [\"not\", [\"lying\", 8]], [\"not\"...
{"split": "train", "index": 16845}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Emma, Isabella, Penelope, Avery, Emily, Luke, Noah, Ella, and Scarlett. Emma stated, \"if Luke is a hero then ((Avery is a hero and Penelope is a her...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1290, \"statements\": [[\"->\", [\"telling-truth\", 5], [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 4]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 8]]]], [\"not\",...
{"split": "train", "index": 16846}
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, Sebastian, Abigail, Noah, William, Harper, Logan, Jack, and Victoria. \"it is not the case that ((if Harper is a laggard then Harper is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1291, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"lying\", 5], [\"telling-truth\", 5]], [\"lying\", 6]]], [\"not\", [\"and\", [\"->\", [\"telling-truth\", 8], [\"lying\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", ...
{"split": "train", "index": 16847}
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, Abigail, Joseph, Noah, Chloe, Sophia, Lily, Emily, and Emma. Michael was heard saying, \"Chloe is a fool\". Abigail stated, \"(if (Lily is a fool ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1292, \"statements\": [[\"lying\", 4], [\"<=>\", [\"->\", [\"and\", [\"lying\", 6], [\"telling-truth\", 6], [\"telling-truth\", 5]], [\"lying\", 7]], [\"not\", [\"lying\", 8]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"<=...
{"split": "train", "index": 16848}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Ella, Ethan, Lily, Jack, Emma, Emily, Mia, Oliver, and Amelia. Ella told you that it is not the case that ((Emma is a sinner) or (Amelia is a sinner ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1293, \"statements\": [[\"not\", [\"or\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 1]]]], [\"telling-truth\", 0], [\"and\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\",...
{"split": "train", "index": 16849}
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, Sofia, Daniel, Luke, James, Penelope, Benjamin, Henry, and Aria. Mason asserted: \"(it is not the case that (Penelope is an altruist or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1294, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 4]], [\"not\", [\"lying\", 4]]], [\"not\", [\"telling-truth\", 7]]], ...
{"split": "train", "index": 16850}
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, Isabella, Benjamin, Henry, Avery, Sebastian, Noah, Luke, and Jack. In a statement by Aurora: \"Benjamin is a villain\". Isabella expressed th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1295, \"statements\": [[\"lying\", 2], [\"and\", [\"not\", [\"lying\", 2]], [\"->\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 6]]]], [\"not\", [\"not\", [...
{"split": "train", "index": 16851}
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, Jackson, Noah, Jack, Luke, Zoey, Oliver, Daniel, and Chloe. Harper commented, \"((Luke is an egoist) if and only if (Noah is an egoist ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1296, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"lying\", 5]], [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 7], [\"l...
{"split": "train", "index": 16852}
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, Mia, Liam, Luke, Sophia, Olivia, Aurora, Scarlett, and Logan. In Lily's words: \"it is not the case that (if (Logan is a knight or Logan is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1297, \"statements\": [[\"not\", [\"->\", [\"or\", [\"telling-truth\", 8], [\"lying\", 8], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 4]]]], [\"telling-truth\", 5], [\"and\", [\"not\", [\"and\", [\"...
{"split": "train", "index": 16853}
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, Emily, David, Charlotte, William, Grace, Jackson, Henry, and Lucas. Ethan said, \"it is not the case that ((Lucas is a pioneer or David ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1298, \"statements\": [[\"not\", [\"or\", [\"or\", [\"telling-truth\", 8], [\"lying\", 2]], [\"or\", [\"telling-truth\", 6], [\"lying\", 5], [\"lying\", 3]]]], [\"->\", [\"<=>\", [\"not\", [\"lying\", 6]], [\"and\", [\"lying\"...
{"split": "train", "index": 16854}
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: Oliver, Elizabeth, Chloe, Abigail, Sophia, Owen, Alexander, Henry, and Isabella. Oliver told you that if (it is not the case that (Alexander is a sin...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1299, \"statements\": [[\"->\", [\"not\", [\"not\", [\"telling-truth\", 6]]], [\"or\", [\"telling-truth\", 6], [\"not\", [\"lying\", 3]]]], [\"<=>\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 8], [\"or\", [\"tellin...
{"split": "train", "index": 16855}
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, William, Abigail, Olivia, Logan, Joseph, Isabella, Zoey, and Harper. Lucas expressed that Isabella is a knight. William said that Joseph is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1300, \"statements\": [[\"not\", [\"lying\", 6]], [\"or\", [\"telling-truth\", 5], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 6], [\"telling-tru...
{"split": "train", "index": 16856}
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, Grace, David, Noah, Harper, Liam, Isabella, Luke, and Mason. Daniel told you that Liam is a villain. \"it is not the case that ((Isabella is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1301, \"statements\": [[\"lying\", 5], [\"not\", [\"or\", [\"and\", [\"telling-truth\", 6], [\"lying\", 2]], [\"->\", [\"lying\", 5], [\"telling-truth\", 7]], [\"->\", [\"lying\", 4], [\"lying\", 3]]]], [\"<=>\", [\"and\", [\"...
{"split": "train", "index": 16857}
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, Noah, Ava, Ethan, Victoria, Lily, Grace, David, and Riley. In a statement by Jackson: \"Grace is a sinner\". Noah noted, \"((Noah is a saint...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1302, \"statements\": [[\"lying\", 6], [\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 8], [\"lying\", 8]]], [\"not\", [\"->\", [\"lying\", 8], ...
{"split": "train", "index": 16858}
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, Abigail, Emily, Samuel, Ethan, Benjamin, Amelia, Aria, and Mia. Riley asserted: \"if ((if Emily is a laggard then Emily is a pioneer) if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1303, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"lying\", 8]], [\"or\", [\"not\", [\"lying\", 8]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"and\", [\"lying\", ...
{"split": "train", "index": 16859}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Zoey, Jacob, Alexander, David, Ella, Penelope, Emma, Matthew, and James. Zoey was heard saying, \"(Alexander is a sinner if and only if (David is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1304, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 2], [\"not\", [\"lying\", 3]]], [\"not\", [\"telling-truth\", 7]]], [\"and\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 5]], [\"->\", [\"lying\", 0], [\"telli...
{"split": "train", "index": 16860}
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: Sebastian, Olivia, Mason, Scarlett, Daniel, William, Emily, Zoey, and Henry. \"((William is a sinner or Zoey is a saint or Mason is a sinner) or Dani...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1305, \"statements\": [[\"and\", [\"or\", [\"or\", [\"lying\", 5], [\"telling-truth\", 7], [\"lying\", 2]], [\"telling-truth\", 4]], [\"->\", [\"or\", [\"telling-truth\", 5], [\"lying\", 4], [\"telling-truth\", 8]], [\"or\", [...
{"split": "train", "index": 16861}
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: James, David, Victoria, Riley, Sebastian, Scarlett, Logan, Michael, and Luke. James said, \"((Luke is a knave) and (Sebastian is a knave) and Riley i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1306, \"statements\": [[\"and\", [\"and\", [\"not\", [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 3]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 1], [\"lying\", 4]]], [\"or\"...
{"split": "train", "index": 16862}
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: Chloe, Matthew, William, Aiden, Jackson, Abigail, Lily, Alexander, and Daniel. Chloe told you that Alexander is an egoist. Matthew noted, \"(it...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1307, \"statements\": [[\"lying\", 7], [\"or\", [\"not\", [\"not\", [\"lying\", 5]]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"not\", [\"lying\", 8]], [\"<=>\", [\"lying\", 7], [\"lying\", 4]]], [\"or\",...
{"split": "train", "index": 16863}
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, Abigail, Luke, Logan, Joseph, William, Liam, Evelyn, and Michael. Scarlett said, \"((Scarlett is an altruist if and only if Luke is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1308, \"statements\": [[\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"and\", [\"and\...
{"split": "train", "index": 16864}
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: Daniel, Aria, Sofia, Ethan, Scarlett, Matthew, Avery, William, and Jacob. According to Daniel, \"William is a laggard\". According to Aria, \"(...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1309, \"statements\": [[\"lying\", 7], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 6]]], [\"not\", [\"not\", [\"lying\", 8]]]], [\"->\", [\"->\", [\"and\", [\"lying\", 8], [\...
{"split": "train", "index": 16865}
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: Mia, Aiden, Liam, Ella, Jack, Owen, Joseph, Harper, and Luke. Mia was heard saying, \"(Luke is a sinner if and only if (Mia is a saint if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1310, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 8], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"<=>\", [\"<=>\", [\"lying\", 7], [\"lying\", 4]], [\"lying\", 3]], [\"telling-truth\", 0]], [\"not\", [\...
{"split": "train", "index": 16866}
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, Sofia, Grace, Samuel, Avery, Aiden, Jacob, Ava, and Luke. Elizabeth remarked, \"it is not the case that ((Samuel is a laggard if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1311, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 8]], [\"->\", [\"lying\", 7], [\"telling-truth\", 7]]]], [\"and\", [\"or...
{"split": "train", "index": 16867}
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: Riley, Lily, Jacob, Zoey, Ella, Jack, Aurora, Amelia, and Avery. Riley was heard saying, \"if ((Lily is a sinner) or Jack is a sinner or (Riley is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1312, \"statements\": [[\"->\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"lying\", 5], [\"or\", [\"telling-truth\", 0], [\"lying\", 6], [\"lying\", 5]]], [\"->\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 5]], [\"and\...
{"split": "train", "index": 16868}
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: Logan, Chloe, Charlotte, Sofia, Samuel, Jack, Isabella, Aria, and Owen. \"it is not the case that ((Logan is a pioneer if and only if Charlotte...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1313, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 5], [\"lying\", 8]]]], [\"not\", [\"not\", [\"<=>\",...
{"split": "train", "index": 16869}
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: Joseph, Sofia, William, Sophia, Charlotte, Michael, Emily, Zoey, and Mia. As Joseph put it, \"((Charlotte is an altruist and Zoey is an egoist ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1314, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 7], [\"lying\", 8]], [\"and\", [\"lying\", 5], [\"telling-truth\", 6], [\"lying\", 1]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 2]]]...
{"split": "train", "index": 16870}
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: Logan, Emily, Samuel, Victoria, Harper, Daniel, Luke, Michael, and Scarlett. \"(it is not the case that (Samuel is an egoist if and only if Vic...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1315, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 8], [\"lying\", 6], [\"lying\", 1]], [\"lying\", 7], [\"and\", [\"telling-truth\", 3], [\"te...
{"split": "train", "index": 16871}
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: Daniel, Avery, Aiden, Logan, Sophia, Chloe, Harper, Jacob, and Riley. Daniel commented, \"Harper is a knave\". \"if (if (if Logan is a knight then Ja...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1316, \"statements\": [[\"lying\", 6], [\"->\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 6]]], [\"telling-truth\", 2]], [\"and\", [\"and\", [\"or\", [\"ly...
{"split": "train", "index": 16872}
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, Charlotte, Isabella, Aurora, Luke, Ella, Avery, Ava, and Lucas. \"it is not the case that (if (Isabella is a sage if and only if Ella is a sage) th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1317, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 1]]]], [\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 7]], [\"or\", [\"lying\", 2], [\"telli...
{"split": "train", "index": 16873}
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, Alexander, Samuel, Ethan, Lucas, Sebastian, Ella, Henry, and Aria. Logan said, \"if (if (Lucas is a devil) then (Sebastian is an angel or Ethan ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1318, \"statements\": [[\"->\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 3]]], [\"->\", [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 1], [\"lying\", 6]]]], [\"<=>...
{"split": "train", "index": 16874}
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, Riley, Chloe, Luke, David, Avery, Daniel, Penelope, and Sofia. Charlotte said, \"((Avery is a knight) or (if Chloe is a knave then David i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1319, \"statements\": [[\"or\", [\"or\", [\"not\", [\"lying\", 5]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 2], [\"lying\", 5]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"lying\", 5]...
{"split": "train", "index": 16875}
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, Benjamin, Riley, Owen, Alexander, Elizabeth, Ava, Aria, and Mia. Liam said that (it is not the case that (Riley is a pioneer and Owen is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1320, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 4]]], [\"telling-truth\", 7]], [\"or\", [\"->\", [\"lying\", 8], [\"telling-truth\", 4]], [\"->\", [\"telling-tru...
{"split": "train", "index": 16876}
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, Charlotte, Mia, Lily, Daniel, Penelope, Isabella, Joseph, and Benjamin. Grace noted, \"it is not the case that (it is not the case that (Lily is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1321, \"statements\": [[\"not\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2]]]], [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"and\", [\"lying\", 8], [\"telling-truth\", 5]], ...
{"split": "train", "index": 16877}
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: Samuel, Emily, Logan, Liam, Charlotte, Jacob, Harper, Olivia, and Benjamin. Samuel expressed that ((Harper is a hero) or (Harper is a villain or Char...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1322, \"statements\": [[\"or\", [\"or\", [\"not\", [\"lying\", 6]], [\"or\", [\"lying\", 6], [\"lying\", 4], [\"telling-truth\", 7]]], [\"and\", [\"not\", [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 6], [\"telling-t...
{"split": "train", "index": 16878}
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, Elizabeth, Sebastian, Noah, William, Henry, Sofia, Benjamin, and Scarlett. Aria said that Noah is a saint. As Elizabeth put it, \"Benjamin is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1323, \"statements\": [[\"telling-truth\", 3], [\"telling-truth\", 7], [\"->\", [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"lying\", 6], [\"telling-truth\", 4]], [\...
{"split": "train", "index": 16879}
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: Jack, Riley, Aiden, Penelope, Ella, Jackson, Lily, Avery, and Benjamin. \"((Riley is an angel or Ella is an angel) and (if Lily is a devil then Ella is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1324, \"statements\": [[\"and\", [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"->\", [\"lying\", 6], [\"lying\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 7]]], [\"->\", [\"or\", [\"telling-tr...
{"split": "train", "index": 16880}
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: David, Evelyn, Olivia, Emma, Daniel, Alexander, Sophia, Harper, and Joseph. In a statement by David: \"(it is not the case that (Harper is a knight i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1325, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 5]]], [\"or\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"telling-truth\", 3]]], [\"->\", [\"->\", [\"and\", [\...
{"split": "train", "index": 16881}
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: Jacob, Sebastian, Ella, Sofia, Grace, Riley, Avery, Olivia, and Penelope. \"((Sebastian is a laggard if and only if Grace is a pioneer) if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1326, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 1], [\"lying\", 8]]], [\"<=>\", [\"and\", [\"lying\", 6], [\"lying\", 8]], [\"not\", [\"telling-truth\",...
{"split": "train", "index": 16882}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Zoey, Abigail, Victoria, Matthew, Noah, Jack, Ella, James, and Luke. Zoey was heard saying, \"Luke is a sinner\". Abigail noted, \"(James is a saint)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1327, \"statements\": [[\"not\", [\"telling-truth\", 8]], [\"and\", [\"not\", [\"lying\", 7]], [\"or\", [\"and\", [\"lying\", 0], [\"lying\", 7]], [\"->\", [\"lying\", 0], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\",...
{"split": "train", "index": 16883}
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, Olivia, Avery, Sebastian, Sophia, Benjamin, Emily, Liam, and Mason. Elizabeth said that (Liam is a sinner if and only if (Olivia is a sinn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1328, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 7], [\"or\", [\"lying\", 1], [\"lying\", 4], [\"lying\", 7]]], [\"or\", [\"telling-truth\", 1], [\"not\", [\"lying\", 1]]], [\"or\", [\"or\", [\"lying\", 2], [\"telling-tru...
{"split": "train", "index": 16884}
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: Emma, Lucas, Ethan, Amelia, Grace, William, Riley, Logan, and Owen. \"(if (if Grace is a fool then Riley is a sage) then (Amelia is a sage and Ethan is a f...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1329, \"statements\": [[\"and\", [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"lying\", 1]]], [\"lying\", 6]], [\"<=>\", [\"and\", [\"<=>\", [\"lying\", 4], [\"...
{"split": "train", "index": 16885}
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: Emily, Aria, Henry, Evelyn, Oliver, Grace, Ethan, James, and Logan. Emily asserted: \"James is an altruist\". Aria commented, \"Oliver is an eg...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1330, \"statements\": [[\"telling-truth\", 7], [\"lying\", 4], [\"not\", [\"lying\", 6]], [\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 1]], [\"lying\", 5]], [\"and\", [\"<=>\", [\"lying\", 8], [\"te...
{"split": "train", "index": 16886}
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, Grace, Alexander, Harper, Avery, Sofia, Matthew, Liam, and Jacob. Mason asserted: \"if ((Matthew is an altruist or Avery is an altruist)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1331, \"statements\": [[\"->\", [\"and\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 5]]], [\"and\", [\"telling-truth\", 6], [\"an...
{"split": "train", "index": 16887}
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: Sophia, Noah, Isabella, Daniel, Grace, Benjamin, Evelyn, Aiden, and James. Sophia commented, \"it is not the case that ((James is an altruist o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1332, \"statements\": [[\"not\", [\"or\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 1], [\"lying\", 8]], [\"and\", [\"lying\", 2], [\"lying\", 6]], [\"or\", [\"lying\", 7], [\"lying\", 2]]]], [\"->\", [\"or\", [\"te...
{"split": "train", "index": 16888}
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, William, Victoria, Ethan, Lily, Elizabeth, Scarlett, Michael, and Sofia. Benjamin expressed that Elizabeth is a villain. William stated, \"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1333, \"statements\": [[\"lying\", 5], [\"->\", [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"lying\", 5], [\"lying\", 7]], [\"or\", [\"telling-truth\", 0]...
{"split": "train", "index": 16889}
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: Luke, Michael, Evelyn, Zoey, Abigail, Liam, James, Harper, and Sebastian. According to Luke, \"Liam is an egoist\". \"Liam is an egoist\" - Mic...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1334, \"statements\": [[\"lying\", 5], [\"lying\", 5], [\"telling-truth\", 8], [\"telling-truth\", 3], [\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 5], [\"lying\", 7]], [\"or\", [\"lying\", 3], [\"t...
{"split": "train", "index": 16890}
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, Victoria, Ella, Aria, Logan, Penelope, Zoey, and Sofia. \"if ((Ella is a fool if and only if Ethan is a sage) or Penelope is a sage or (Zoey is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1335, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"telling-truth\", 6], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"lying\", 6], [\"telling-truth\...
{"split": "train", "index": 16891}
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: Isabella, Samuel, Avery, Owen, Abigail, Liam, Riley, Elizabeth, and Mia. Isabella remarked, \"Owen is an egoist\". Samuel asserted: \"it is not...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1336, \"statements\": [[\"lying\", 3], [\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 3], [\"lying\", 7]]]], [\"and\", [\"not\", [\"not\", [\"lying\", 1]]], [\"->\", ...
{"split": "train", "index": 16892}
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: Emma, Ella, Oliver, Avery, Isabella, Scarlett, Sebastian, Emily, and Sofia. Emma remarked, \"((Emily is a knight or Avery is a knave or Emily is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1337, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 7], [\"lying\", 3], [\"lying\", 7]], [\"or\", [\"lying\", 8], [\"telling-truth\", 5]]], [\"not\", [\"->\", [\"telling-truth\", 5], [\"lying\", 3]]], [\"->...
{"split": "train", "index": 16893}
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, Samuel, Owen, William, Jacob, Elizabeth, Michael, Joseph, and Jack. \"((Samuel is a pioneer) or (Michael is a pioneer or Joseph is a la...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1338, \"statements\": [[\"or\", [\"or\", [\"not\", [\"lying\", 1]], [\"or\", [\"telling-truth\", 6], [\"lying\", 7]]], [\"and\", [\"not\", [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 0]]], [...
{"split": "train", "index": 16894}
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: Alexander, Evelyn, Jacob, Aurora, Amelia, William, Liam, Lily, and Chloe. Alexander expressed that (William is a hero) and ((Aurora is a hero or Will...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1339, \"statements\": [[\"and\", [\"not\", [\"lying\", 5]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 5], [\"lying\", 8]], [\"not\", [\"telling-truth\", 4]]]], [\"->\", [\"or\", [\"and\", [\"telling-truth\...
{"split": "train", "index": 16895}
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: Isabella, Joseph, Henry, Evelyn, Amelia, Sofia, Elizabeth, Penelope, and Logan. Isabella was heard saying, \"Henry is an altruist\". In a state...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1340, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"not\", [\"telling-truth\", 7]], [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [\"lying\", 8], [\"telling-truth\", 7]]]], [\"not\", [\"telling-tr...
{"split": "train", "index": 16896}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Ava, Zoey, Mia, Elizabeth, Aria, Luke, Benjamin, Victoria, and Isabella. Ava commented, \"Aria is a saint\". As Zoey put it, \"if ((if Aria is a sinn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1341, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [\"lying\", 0], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"->\", ...
{"split": "train", "index": 16897}
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, Jack, Harper, Scarlett, Elizabeth, Zoey, Chloe, Amelia, and Ava. \"Elizabeth is a pioneer,\" Noah declared. In a statement by Jack: \"(if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1342, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"->\", [\"not\", [\"lying\", 5]], [\"or\", [\"lying\", 8], [\"lying\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 6], [\"lying\", 5]], [\"not\", [\"telling-truth\", 0...
{"split": "train", "index": 16898}
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, Jacob, Mia, Aiden, Mason, Sophia, William, Jackson, and Daniel. \"((Jackson is a devil and Sophia is an angel) or (Daniel is a devil) or (Mason ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1343, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"lying\", 7], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 6]]], [\"lying\", 5]], [\"<=>\", [\"<=>\", [...
{"split": "train", "index": 16899}