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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: Luke, Emma, Alexander, Abigail, Scarlett, Harper, Sebastian, Grace, and Michael. Luke expressed that Abigail is a knight. \"if Alexander is a knight ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 610, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"telling-truth\", 2], [\"or\", [\"lying\", 7], [\"telling-truth\", 7]]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 0], [...
{"split": "train", "index": 9500}
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: Abigail, Isabella, Sebastian, Avery, Benjamin, Scarlett, Jack, Victoria, and Emma. \"Isabella is a saint,\" Abigail declared. Isabella stated, \"Emma...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 611, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"lying\", 8], [\"->\", [\"lying\", 0], [\"telling-truth\", 4]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"not\...
{"split": "train", "index": 9501}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Jack, Penelope, Charlotte, Jacob, Sophia, William, Isabella, Sofia, and Alexander. Jack expressed that (Penelope is a knave or Jacob is a knave) or S...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 612, \"statements\": [[\"or\", [\"or\", [\"lying\", 1], [\"lying\", 3]], [\"telling-truth\", 4]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 4], [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"tell...
{"split": "train", "index": 9502}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Sofia, Noah, Matthew, Aurora, Isabella, Avery, Daniel, David, and Victoria. Sofia told you that it is not the case that (if Aurora is a sage then Noah is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 613, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4]], [\"or\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 6]]],...
{"split": "train", "index": 9503}
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, Charlotte, Michael, Victoria, Joseph, Jacob, Grace, Avery, and William. Jackson expressed that (Jacob is a knight) or (Avery is a knight) or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 614, \"statements\": [[\"or\", [\"not\", [\"lying\", 5]], [\"not\", [\"lying\", 7]], [\"telling-truth\", 2]], [\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 0]]], [\"telling-...
{"split": "train", "index": 9504}
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, Jacob, Daniel, Penelope, Lily, Chloe, Michael, Scarlett, and Sofia. \"(if Sofia is a villain then Michael is a hero) or (Scarlett is a vil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 615, \"statements\": [[\"or\", [\"->\", [\"lying\", 8], [\"telling-truth\", 6]], [\"and\", [\"lying\", 7], [\"telling-truth\", 7]], [\"or\", [\"lying\", 5], [\"lying\", 7]]], [\"lying\", 4], [\"and\", [\"lying\", 8], [\"->\", ...
{"split": "train", "index": 9505}
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, Aurora, Mason, Sebastian, James, Penelope, Jacob, William, and Amelia. In Lucas's words: \"it is not the case that (Aurora is a devil)\". \"(Pen...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 616, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"and\", [\"lying\", 5], [\"telling-truth\", 8], [\"lying\", 3]], [\"not\", [\"lying\", 8]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"telli...
{"split": "train", "index": 9506}
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: Aria, William, Liam, Isabella, Daniel, Sofia, Sophia, Oliver, and Jackson. Aria told you that it is not the case that (Daniel is a hero and Daniel is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 617, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"telling-truth\", 4]], [\"<=>\", [\"and\", [\"tel...
{"split": "train", "index": 9507}
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, Elizabeth, Emily, Alexander, Zoey, Chloe, Owen, Isabella, and Liam. In Victoria's words: \"if (Elizabeth is a villain or Elizabeth is a her...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 618, \"statements\": [[\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 6], [\"lying\", 5], [\"lying\", 3]]], [\"telling-truth\", 7], [\"and\", [\"->\", [\"telling...
{"split": "train", "index": 9508}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Harper, Jacob, Scarlett, Luke, Sophia, Elizabeth, Ella, Liam, and Aurora. \"(Jacob is a pioneer and Liam is a laggard and Ella is a laggard) an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 619, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 7], [\"lying\", 6]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"telling-truth\", 8]], [\"not\", [\"and\", [\"telling-truth\", 8], [\"tell...
{"split": "train", "index": 9509}
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, Olivia, Emma, Matthew, Mia, Logan, Jackson, Aiden, and Aria. In a statement by Ethan: \"Logan is a fool\". Olivia commented, \"if (Mia is a fool) th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 620, \"statements\": [[\"lying\", 5], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"<=>\", [\"or\", [\"lying\", 8], [\"lying\", 0], [\"lying\", 5]], [...
{"split": "train", "index": 9510}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Samuel, Henry, Zoey, Luke, Benjamin, Michael, Harper, Matthew, and William. Samuel said that Michael is a saint. Henry told you that it is not the ca...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 621, \"statements\": [[\"telling-truth\", 5], [\"not\", [\"<=>\", [\"lying\", 5], [\"lying\", 8]]], [\"or\", [\"or\", [\"lying\", 0], [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"telling-truth\", 1]], [\"lying\", 4], [\...
{"split": "train", "index": 9511}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Luke, David, Harper, Liam, Aurora, Penelope, Emily, Emma, and Mason. Luke noted, \"Aurora is a devil\". David said, \"(Aurora is a devil or Liam is a d...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 622, \"statements\": [[\"lying\", 4], [\"and\", [\"or\", [\"lying\", 4], [\"lying\", 3], [\"lying\", 5]], [\"->\", [\"lying\", 6], [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"lying\", 5], [\"tel...
{"split": "train", "index": 9512}
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, Lucas, Sofia, Lily, Samuel, Benjamin, Charlotte, Liam, and Luke. Daniel asserted: \"(Benjamin is a fool) if and only if (Daniel is a sage and Luke ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 623, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 0], [\"lying\", 8], [\"lying\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"...
{"split": "train", "index": 9513}
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: Zoey, Alexander, Mason, William, Ethan, Isabella, Daniel, Noah, and Henry. In a statement by Zoey: \"if (Noah is a hero) then (William is a villain)\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 624, \"statements\": [[\"->\", [\"not\", [\"lying\", 7]], [\"not\", [\"telling-truth\", 3]]], [\"telling-truth\", 6], [\"and\", [\"or\", [\"lying\", 5], [\"lying\", 8], [\"lying\", 1]], [\"and\", [\"telling-truth\", 7], [\"tel...
{"split": "train", "index": 9514}
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: Olivia, Elizabeth, David, William, Emma, Ava, Charlotte, Sofia, and Sebastian. Olivia noted, \"it is not the case that (William is a villain)\". \"it...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 625, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 5], [\"lying\", 5]]], [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 8]], [\"<=>\", [\"...
{"split": "train", "index": 9515}
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, Oliver, Sofia, Mason, Lucas, Aiden, James, Jackson, and Charlotte. \"it is not the case that (Aiden is a sage),\" Aurora declared. Oliver expressed...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 626, \"statements\": [[\"not\", [\"not\", [\"lying\", 5]]], [\"->\", [\"not\", [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 6]]], [\"lying\", 4], [\"<=>\", [\"<=>\", [\"lying\", 1], [\"lying\", 8]], [...
{"split": "train", "index": 9516}
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, Emma, Abigail, Sofia, Aurora, Ava, Mason, Michael, and Penelope. \"(Abigail is a pioneer and Sofia is a laggard and Emma is a pioneer) a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 627, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3], [\"telling-truth\", 1]], [\"telling-truth\", 7]], [\"or\", [\"not\", [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 7]], [\"and\...
{"split": "train", "index": 9517}
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, Harper, Charlotte, Jackson, Amelia, Alexander, Lily, Matthew, and Noah. As Owen put it, \"it is not the case that (if Matthew is a knave then L...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 628, \"statements\": [[\"not\", [\"->\", [\"lying\", 7], [\"lying\", 6]]], [\"<=>\", [\"and\", [\"lying\", 0], [\"lying\", 7]], [\"->\", [\"lying\", 3], [\"telling-truth\", 5]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\...
{"split": "train", "index": 9518}
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: Emily, Noah, Ava, Avery, Lily, Ethan, Evelyn, Mason, and Charlotte. Emily commented, \"it is not the case that (Lily is a pioneer)\". As Noah p...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 629, \"statements\": [[\"not\", [\"not\", [\"lying\", 4]]], [\"and\", [\"->\", [\"lying\", 7], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 4], [\"lying\", 7]]], [\"and\", [\"->\", [\"telling-truth\", 6], [\"telling-t...
{"split": "train", "index": 9519}
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, Scarlett, Zoey, Mia, Olivia, Logan, Michael, Isabella, and Owen. In a statement by Sebastian: \"(Logan is a saint or Michael is a sinner o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 630, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 5], [\"lying\", 6], [\"telling-truth\", 1]], [\"->\", [\"lying\", 4], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 5], [\"lying\", 1]]], [\"or\", [\"or\", ...
{"split": "train", "index": 9520}
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: Oliver, Aria, Benjamin, Jacob, Harper, Riley, Daniel, Matthew, and Victoria. \"if (if Matthew is a devil then Victoria is a devil) then Victoria is a d...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 631, \"statements\": [[\"->\", [\"->\", [\"lying\", 7], [\"lying\", 8]], [\"lying\", 8]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 0], [\"telling-truth\", 1]]], [\"lying\", 0], [\"->\", [\"and\", [\"telling-truth...
{"split": "train", "index": 9521}
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, Ethan, Jacob, Liam, Amelia, Isabella, Michael, Elizabeth, and Benjamin. Sebastian asserted: \"(if Liam is a saint then Amelia is a sinner)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 632, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 4]], [\"telling-truth\", 8], [\"lying\", 3], [\"or\", [\"->\", [\"lying\", 1], [\"lying\"...
{"split": "train", "index": 9522}
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, Riley, Ava, Evelyn, Logan, Aurora, Lily, Michael, and Charlotte. \"if (Evelyn is a sage) then (Charlotte is a fool and Riley is a fool and Ava is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 633, \"statements\": [[\"->\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 8], [\"lying\", 1], [\"lying\", 2]]], [\"or\", [\"lying\", 0], [\"and\", [\"lying\", 5], [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"lyi...
{"split": "train", "index": 9523}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Mason, Luke, Mia, Sophia, Zoey, Joseph, Jacob, Penelope, and William. Mason said that Zoey is a villain. \"Mia is a villain,\" Luke claimed. Mia stat...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 634, \"statements\": [[\"lying\", 4], [\"lying\", 2], [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 8], [\"telling-truth\", 3]], [\"or\", [\"lying\", 0], [\"lying\", 3], [\"lying\", 6]]], [\"not\", [\"telling-truth\", ...
{"split": "train", "index": 9524}
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: Grace, Ethan, Daniel, Luke, Liam, Alexander, Joseph, Ava, and Oliver. Grace commented, \"it is not the case that (Liam is a sage if and only if Ethan is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 635, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"telling-truth\", 1], [\"not\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 8]]], [\"and\", [\"telling-truth\", 4], [\"not...
{"split": "train", "index": 9525}
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: Aurora, Alexander, Emma, Evelyn, Elizabeth, Zoey, Samuel, Ava, and Ella. \"it is not the case that (Aurora is an angel and Zoey is an angel),\" Aurora ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 636, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 5]]], [\"not\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 6]]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]], [\"not\", [\...
{"split": "train", "index": 9526}
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: Matthew, Jacob, Riley, Alexander, Noah, Joseph, Amelia, Avery, and Olivia. \"Amelia is a hero,\" Matthew mentioned. In Jacob's words: \"if (Olivia is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 637, \"statements\": [[\"telling-truth\", 6], [\"->\", [\"not\", [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 0]]], [\"or\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 7]], [\"lying\", 4]],...
{"split": "train", "index": 9527}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Victoria, Emma, Penelope, Jackson, Evelyn, Scarlett, Grace, Liam, and Sophia. Victoria remarked, \"it is not the case that (Emma is a devil or Grace is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 638, \"statements\": [[\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 6], [\"telling-truth\", 5]]], [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"->\", [\"lying\", 8], [\"<=>\", [\"telling-truth\", 1],...
{"split": "train", "index": 9528}
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, Charlotte, Jack, Penelope, Henry, David, Ella, Sebastian, and Emma. In Aiden's words: \"Ella is a pioneer\". Charlotte said that Sebasti...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 639, \"statements\": [[\"telling-truth\", 6], [\"or\", [\"lying\", 7], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"lying\", 4], [\"and\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 7], [\"telling-truth\", ...
{"split": "train", "index": 9529}
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, Liam, Noah, Victoria, Samuel, Ava, Matthew, Lucas, and Owen. \"(if Owen is a fool then Samuel is a fool) if and only if Noah is a fool,\" Penelop...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 640, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 8], [\"lying\", 4]], [\"lying\", 2]], [\"and\", [\"not\", [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 8], [\"ly...
{"split": "train", "index": 9530}
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, Samuel, William, Amelia, Jack, Sofia, Ava, Aria, and Lucas. Noah said that (Samuel is a laggard if and only if Samuel is a pioneer) and (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 641, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"not\", [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"lying\", 5]], [\"or\", [\"telling-...
{"split": "train", "index": 9531}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Zoey, Elizabeth, Joseph, Scarlett, Charlotte, James, Jack, Owen, and Evelyn. Zoey noted, \"it is not the case that (Jack is an angel or Scarlett is a d...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 642, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 6], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 7]]], [\"->\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"not\", [\"...
{"split": "train", "index": 9532}
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, Evelyn, James, Ethan, Alexander, Emma, Mason, Aiden, and Isabella. According to Mia, \"if (Isabella is a saint or Isabella is a sinner or Ethan ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 643, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 8], [\"lying\", 8], [\"lying\", 3]], [\"lying\", 2]], [\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"telling-truth\"...
{"split": "train", "index": 9533}
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, Emily, Isabella, Jack, Logan, William, Ava, Owen, and Aria. In a statement by Michael: \"Ava is an altruist\". In Emily's words: \"if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 644, \"statements\": [[\"telling-truth\", 6], [\"->\", [\"->\", [\"telling-truth\", 6], [\"lying\", 5]], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"lying\", 6], [\"telling-truth\", 0]], [\"not\",...
{"split": "train", "index": 9534}
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, Ethan, Elizabeth, Jacob, Michael, Henry, Harper, Lily, and Zoey. Daniel said that Henry is a hero. \"(if Ethan is a hero then Michael is a vi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 645, \"statements\": [[\"telling-truth\", 5], [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 4]], [\"->\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"<=>\", [\"telling-tru...
{"split": "train", "index": 9535}
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, Emma, Harper, Amelia, Zoey, Aurora, Luke, Jackson, and Aiden. \"(Aiden is a devil) or (Jack is a devil) or (Luke is an angel or Aurora is a devil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 646, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 6], [\"lying\", 5], [\"telling-truth\", 8]]], [\"<=>\", [\"<=>\", [\"lying\", 5], [\"lying\", 7]...
{"split": "train", "index": 9536}
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: Aria, Charlotte, Henry, David, Mason, Sebastian, Abigail, Noah, and Olivia. \"(Abigail is a laggard if and only if David is a laggard) and (Mas...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 647, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 6], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"telling-truth\", 4], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"lyi...
{"split": "train", "index": 9537}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Victoria, Abigail, Lily, Charlotte, Matthew, Owen, Isabella, Joseph, and Mia. As Victoria put it, \"(Mia is an angel or Matthew is an angel) and (Matth...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 648, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 5]]], [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth\", 4]], [\"and\", [\"lying\", 3...
{"split": "train", "index": 9538}
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: Jack, Ella, Abigail, Grace, Emma, Mia, Luke, Charlotte, and Owen. As Jack put it, \"Grace is a laggard or (Grace is a pioneer or Luke is a pion...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 649, \"statements\": [[\"or\", [\"lying\", 3], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 6]]], [\"or\", [\"->\", [\"lying\", 7], [\"lying\", 2]], [\"->\", [\"telling-truth\", 8], [\"lying\", 2]]], [\"and\", [\"->\",...
{"split": "train", "index": 9539}
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: Lucas, Lily, Emma, Grace, Henry, Luke, Alexander, Jack, and Aiden. Lucas told you that (if Emma is a sage then Lucas is a sage) or (Luke is a sage). Lily r...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 650, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"not\", [\"lying\", 5]]], [\"<=>\", [\"lying\", 5], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"t...
{"split": "train", "index": 9540}
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, Ethan, Elizabeth, Jackson, Penelope, Michael, William, Henry, and Lily. Daniel commented, \"it is not the case that (Daniel is a knight or Ja...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 651, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 5], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 1], [\"lying\", 5], [\"telling-truth...
{"split": "train", "index": 9541}
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, William, Penelope, Samuel, Zoey, Logan, Jackson, Jacob, and Charlotte. Lucas said, \"if (Penelope is an angel and William is a devil and Charlot...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 652, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"telling-truth\", 7]], [\"not\", [\"lyin...
{"split": "train", "index": 9542}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Aiden, Matthew, Riley, Henry, Scarlett, Olivia, Jacob, Michael, and Lily. \"Jacob is a knight,\" Aiden claimed. Matthew said that if Jacob is a knave...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 653, \"statements\": [[\"telling-truth\", 6], [\"->\", [\"lying\", 6], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 5]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"not\", [\"telling-truth\", 4]], ...
{"split": "train", "index": 9543}
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, Noah, Aiden, Scarlett, Avery, Jacob, Emma, Lily, and Jackson. Elizabeth was heard saying, \"if (Jackson is a devil and Jacob is a devil and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 654, \"statements\": [[\"->\", [\"and\", [\"lying\", 8], [\"lying\", 5], [\"lying\", 6]], [\"or\", [\"lying\", 3], [\"telling-truth\", 6]]], [\"lying\", 8], [\"not\", [\"telling-truth\", 8]], [\"not\", [\"or\", [\"lying\", 2],...
{"split": "train", "index": 9544}
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: Chloe, Scarlett, Alexander, Ethan, Emma, Oliver, Michael, Owen, and Isabella. Chloe told you that (Chloe is a fool) and Ethan is a sage. According to Scarl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 655, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 3]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth...
{"split": "train", "index": 9545}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Logan, Charlotte, Victoria, Joseph, Emily, Mason, Harper, Liam, and David. Logan remarked, \"it is not the case that (Mason is a hero)\". Charlotte s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 656, \"statements\": [[\"not\", [\"not\", [\"lying\", 5]]], [\"not\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"lying\", 6], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 3]]], [...
{"split": "train", "index": 9546}
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, Owen, Matthew, William, Aria, Aurora, Sofia, Avery, and Chloe. According to Liam, \"(Sofia is a laggard or Aurora is a laggard or Owen is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 657, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 6], [\"lying\", 5], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 7]]], [\"not\", [\"telling-truth\", 1]], [\"not\", [...
{"split": "train", "index": 9547}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Aiden, Riley, Daniel, Elizabeth, Ethan, Jack, Lucas, Sophia, and Michael. In a statement by Aiden: \"if Ethan is a fool then (Michael is a fool and Michael...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 658, \"statements\": [[\"->\", [\"lying\", 4], [\"and\", [\"lying\", 8], [\"telling-truth\", 8], [\"lying\", 1]]], [\"lying\", 7], [\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"telling-truth\", 7]], [\...
{"split": "train", "index": 9548}
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, Chloe, Elizabeth, Jacob, Ava, Emily, Owen, Aurora, and Michael. Matthew commented, \"(Aurora is a saint if and only if Emily is a sinner) or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 659, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 5]], [\"or\", [\"lying\", 1], [\"lying\", 8]]], [\"and\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 8]], [\"or\", [\"telling-truth\", 1], [\"tell...
{"split": "train", "index": 9549}
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, Alexander, Sofia, Emma, Oliver, Evelyn, Chloe, Mia, and Olivia. Riley expressed that if (Oliver is a sage) then (Chloe is a fool if and only if Mia ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 660, \"statements\": [[\"->\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 6], [\"lying\", 7]]], [\"and\", [\"lying\", 6], [\"->\", [\"telling-truth\", 7], [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth\", 7]]...
{"split": "train", "index": 9550}
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: Emily, Joseph, Michael, Victoria, Aiden, Daniel, Lucas, Chloe, and David. Emily was heard saying, \"Joseph is a devil\". As Joseph put it, \"(Lucas is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 661, \"statements\": [[\"lying\", 1], [\"and\", [\"and\", [\"lying\", 6], [\"lying\", 7], [\"telling-truth\", 3]], [\"and\", [\"lying\", 6], [\"lying\", 5], [\"telling-truth\", 8]]], [\"or\", [\"or\", [\"telling-truth\", 0], [...
{"split": "train", "index": 9551}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Chloe, Olivia, Elizabeth, Aiden, Noah, Penelope, Zoey, Henry, and Sebastian. Chloe was heard saying, \"(Elizabeth is a devil) if and only if (if Henry ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 662, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 7], [\"lying\", 8]]], [\"<=>\", [\"lying\", 2], [\"->\", [\"lying\", 8], [\"telling-truth\", 6]]], [\"->\", [\"<=>\", [\"lying\", ...
{"split": "train", "index": 9552}
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, Joseph, Emma, Amelia, Jack, Owen, Olivia, Michael, and Charlotte. In Mason's words: \"(if Charlotte is an altruist then Owen is an altru...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 663, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 7]], [\"telling-truth\", 6]], [\"->\", [\"lying\", 5], [\"telling-truth\", 3]], [\"telling-truth\", 7], [\...
{"split": "train", "index": 9553}
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, Sophia, Joseph, Alexander, Ella, Henry, Emma, Penelope, and Lily. According to Aria, \"it is not the case that (Henry is a sinner and Ella is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 664, \"statements\": [[\"not\", [\"and\", [\"lying\", 5], [\"lying\", 4]]], [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 5], [\"lying\", 6]], [\"->\", [\"telling-truth\", 0], [\"ly...
{"split": "train", "index": 9554}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Chloe, Emma, Oliver, Amelia, Jacob, Isabella, Noah, Alexander, and Olivia. \"it is not the case that (Amelia is an angel or Oliver is an angel or Isabe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 665, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"telling-truth\", 5]]], [\"->\", [\"not\", [\"lying\", 3]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3], [\"lying\", 4]]],...
{"split": "train", "index": 9555}
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, Jack, Elizabeth, Riley, Emma, Amelia, Henry, Oliver, and Luke. In Evelyn's words: \"Henry is a pioneer\". \"(Amelia is a pioneer if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 666, \"statements\": [[\"not\", [\"lying\", 6]], [\"and\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 3], [\"lying\", 6]], [\"not\", [\"lying\", 6]]], [\"tel...
{"split": "train", "index": 9556}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Daniel, Ava, Ella, Aiden, Charlotte, Sofia, Mia, James, and Ethan. \"if (Aiden is a sinner and Ava is a saint and Daniel is a saint) then (Ethan is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 667, \"statements\": [[\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 8], [\"lying\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 7]], ...
{"split": "train", "index": 9557}
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, Mia, Matthew, Penelope, Jack, William, Aria, Scarlett, and Olivia. \"if (Olivia is a knave) then (if Mia is a knave then Jack is a knave)\" - E...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 668, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 8]], [\"->\", [\"lying\", 1], [\"lying\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 0]]], [\"<=>\", [\"or\", [\"lying\", 7], [\"telling-t...
{"split": "train", "index": 9558}
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, Elizabeth, Alexander, Luke, Riley, Ella, Emma, Abigail, and Daniel. \"Riley is a sage\" - Evelyn. Elizabeth stated, \"Emma is a sage\". Alexander n...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 669, \"statements\": [[\"telling-truth\", 4], [\"telling-truth\", 6], [\"telling-truth\", 6], [\"or\", [\"telling-truth\", 7], [\"or\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 1]]], [\"telling-truth\", 2], [\"or\",...
{"split": "train", "index": 9559}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Aurora, Aiden, Benjamin, Matthew, Henry, Daniel, William, Isabella, and Mason. Aurora was heard saying, \"it is not the case that (Benjamin is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 670, \"statements\": [[\"not\", [\"not\", [\"lying\", 2]]], [\"telling-truth\", 4], [\"not\", [\"or\", [\"telling-truth\", 7], [\"lying\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 0]], [\"<=>\", [\"telling-truth\"...
{"split": "train", "index": 9560}
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: Sophia, Scarlett, Grace, Liam, Mia, Oliver, Ethan, Michael, and Elizabeth. \"(Mia is a saint if and only if Elizabeth is a sinner) if and only if Eli...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 671, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 8]], [\"telling-truth\", 8]], [\"->\", [\"lying\", 7], [\"or\", [\"lying\", 2], [\"lying\", 3], [\"telling-truth\", 4]]], [\"telling-truth\", 7], [\...
{"split": "train", "index": 9561}
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: Benjamin, Grace, Penelope, Avery, Joseph, Lily, Daniel, Emma, and Michael. Benjamin remarked, \"(Penelope is a sinner and Michael is a sinner) or (Li...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 672, \"statements\": [[\"or\", [\"and\", [\"lying\", 2], [\"lying\", 8]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 4], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"->\", [\"tellin...
{"split": "train", "index": 9562}
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: Sofia, Matthew, Ethan, Chloe, Jacob, Daniel, Charlotte, Logan, and Aiden. \"(if Daniel is a sinner then Aiden is a saint) if and only if (Matthew is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 673, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 5], [\"telling-truth\", 8]], [\"or\", [\"lying\", 1], [\"lying\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 4]]...
{"split": "train", "index": 9563}
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: Penelope, Ella, Harper, Logan, Emily, Michael, Aria, Avery, and Liam. \"Logan is a villain,\" Penelope declared. Ella remarked, \"(Liam is a villain)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 674, \"statements\": [[\"lying\", 3], [\"and\", [\"not\", [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 2]], [\"lying\", 3]], [\"lying\", 3], [\"and\", [\"or\", [\"lying\", 4], [\"lying\", 6], ...
{"split": "train", "index": 9564}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Olivia, Ella, Liam, Jack, Penelope, Chloe, Benjamin, Samuel, and Henry. Olivia asserted: \"Samuel is an altruist\". In a statement by Ella: \"i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 675, \"statements\": [[\"telling-truth\", 7], [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"lying\", 0], [\"tellin...
{"split": "train", "index": 9565}
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, Charlotte, William, Ethan, Ella, Victoria, Samuel, Jack, and Mason. \"if (if Charlotte is a villain then Mason is a villain) then (if Charlott...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 676, \"statements\": [[\"->\", [\"->\", [\"lying\", 1], [\"lying\", 8]], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"and\", [\"lying\", 3], [\"lying\", 5]]]...
{"split": "train", "index": 9566}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Owen, Victoria, Evelyn, Jacob, Sebastian, Lucas, Isabella, William, and Samuel. Owen said that (Isabella is an angel) and (if Evelyn is a devil then Se...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 677, \"statements\": [[\"and\", [\"not\", [\"lying\", 6]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 6], [\"lying\", 2]]...
{"split": "train", "index": 9567}
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, Chloe, Aurora, Scarlett, Emily, Lucas, Ella, Harper, and Emma. According to Benjamin, \"(Scarlett is a hero and Scarlett is a villain) if a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 678, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"lying\", 2]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 8]], [\"or\"...
{"split": "train", "index": 9568}
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, Olivia, Oliver, Lily, Noah, Ava, Mason, Riley, and William. Grace remarked, \"if (Noah is a knight or Lily is a knight or Riley is a knave) th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 679, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3], [\"lying\", 7]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\...
{"split": "train", "index": 9569}
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: Evelyn, Henry, Avery, Chloe, Ella, Riley, Alexander, Zoey, and Jackson. Evelyn remarked, \"it is not the case that (Ella is a villain or Zoey is a vi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 680, \"statements\": [[\"not\", [\"or\", [\"lying\", 4], [\"lying\", 7], [\"telling-truth\", 5]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"<=>\", [\"lying\", 6], [\"lying\", 0]], [\"and\", [\"telling-tru...
{"split": "train", "index": 9570}
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: Sophia, Mason, Olivia, Emma, Matthew, Riley, Mia, Benjamin, and Aurora. Sophia said, \"Olivia is a sinner if and only if (Riley is a saint).\" Mason ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 681, \"statements\": [[\"<=>\", [\"lying\", 2], [\"not\", [\"lying\", 5]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 8], [\"telling-truth\", 5]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 7...
{"split": "train", "index": 9571}
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: Penelope, Victoria, Joseph, Ella, Elizabeth, Scarlett, Sophia, Daniel, and Aurora. Penelope told you that Joseph is a knave. Victoria told you that (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 682, \"statements\": [[\"lying\", 2], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"and\", [\"telling-truth\", 2],...
{"split": "train", "index": 9572}
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: Liam, Matthew, Michael, Sofia, Scarlett, Sophia, Penelope, Aria, and Lily. Liam told you that Sophia is a knight. According to Matthew, \"(Penelope i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 683, \"statements\": [[\"telling-truth\", 5], [\"or\", [\"<=>\", [\"lying\", 6], [\"lying\", 7]], [\"telling-truth\", 5]], [\"->\", [\"->\", [\"lying\", 8], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"telling-...
{"split": "train", "index": 9573}
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: Olivia, Charlotte, Victoria, Grace, James, Scarlett, Ava, Isabella, and Aiden. In Olivia's words: \"Scarlett is a pioneer\". Charlotte said tha...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 684, \"statements\": [[\"telling-truth\", 5], [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 6], [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"lying\", 4]]...
{"split": "train", "index": 9574}
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: Avery, Lucas, Charlotte, Victoria, Abigail, Alexander, Owen, Emily, and Liam. \"(Liam is a villain) if and only if (Lucas is a villain)\" - Avery. Lu...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 685, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 0], [\"lying\", 7]]], [\"or\", [\"...
{"split": "train", "index": 9575}
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: Olivia, Aiden, Emily, Daniel, Evelyn, Elizabeth, Liam, Victoria, and Benjamin. In a statement by Olivia: \"(Emily is a hero if and only if Daniel is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 686, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 3]], [\"lying\", 1]], [\"->\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 3]], [\"telling-truth\", 7]], [\"<=>\", [\"and\", [\"lying\", 3],...
{"split": "train", "index": 9576}
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, James, Ethan, Jackson, Amelia, Owen, Jack, David, and Avery. \"James is a knight,\" Lily claimed. James said that (if David is a knight then Da...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 687, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"->\", [\"telling-truth\", 7], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 0]]], [\"or\", ...
{"split": "train", "index": 9577}
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, Evelyn, James, Aurora, Jacob, Benjamin, Ethan, Isabella, and Avery. Logan noted, \"(if Benjamin is a laggard then Aurora is a laggard) o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 688, \"statements\": [[\"or\", [\"->\", [\"lying\", 5], [\"lying\", 3]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 8]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 7], [\"lying...
{"split": "train", "index": 9578}
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, Sebastian, Evelyn, Sofia, Alexander, Owen, Chloe, Jack, and Harper. In a statement by Ella: \"if Owen is a villain then (if Alexander is a vill...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 689, \"statements\": [[\"->\", [\"lying\", 5], [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1]], [\"not\", [\"lying\", 8]]], [\"->\", [\"->\", [\"lying\", 8], [\"tel...
{"split": "train", "index": 9579}
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, Avery, Lily, Charlotte, Penelope, William, David, Harper, and Sophia. Jacob stated, \"if (if Lily is a laggard then David is a laggard) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 690, \"statements\": [[\"->\", [\"->\", [\"lying\", 2], [\"lying\", 6]], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [\"telling...
{"split": "train", "index": 9580}
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, Lily, Owen, Mason, James, Sebastian, Aiden, and Isabella. Logan said that Isabella is a laggard or (Isabella is a laggard or Jame...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 691, \"statements\": [[\"or\", [\"lying\", 8], [\"or\", [\"lying\", 8], [\"lying\", 5], [\"telling-truth\", 8]]], [\"<=>\", [\"and\", [\"telling-truth\", 5], [\"lying\", 4], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\...
{"split": "train", "index": 9581}
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, Emma, Ava, Matthew, Daniel, Noah, Aurora, Jack, and Evelyn. Owen stated, \"if (Ava is a sinner if and only if Aurora is a saint) then (if Ava i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 692, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 2], [\"lying\", 8]]], [\"not\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 0]]], [\"or\", [\"or\", [\"telling-tr...
{"split": "train", "index": 9582}
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, Luke, Chloe, Jacob, Sophia, Sebastian, Henry, Alexander, and Sofia. \"Sebastian is a fool or (Sebastian is a fool) or (if Sofia is a sage then Sofia i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 693, \"statements\": [[\"or\", [\"lying\", 5], [\"not\", [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 8], [\"lying\", 8]]], [\"not\", [\"not\", [\"lying\", 5]]], [\"and\", [\"not\", [\"lying\", 1]], [\"telling-truth\"...
{"split": "train", "index": 9583}
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, Lucas, Scarlett, Riley, Aria, Charlotte, Joseph, Jack, and Emma. In a statement by Daniel: \"Scarlett is a sage\". \"it is not the case that (Josep...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 694, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"or\", [\"lying\", 6], [\"telling-truth\", 0], [\"telling-truth\", 6]]], [\"->\", [\"lying\", 5], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", ...
{"split": "train", "index": 9584}
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, Avery, Matthew, Henry, Charlotte, Zoey, Jack, Michael, and Sofia. In a statement by James: \"(Avery is a saint) and (Avery is a saint or Sofia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 695, \"statements\": [[\"and\", [\"not\", [\"lying\", 1]], [\"or\", [\"telling-truth\", 1], [\"lying\", 8], [\"lying\", 7]], [\"not\", [\"telling-truth\", 6]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\"...
{"split": "train", "index": 9585}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Zoey, Ethan, Samuel, Emily, Matthew, Luke, Mia, Michael, and Avery. In Zoey's words: \"(Avery is a devil if and only if Matthew is a devil) and (Ethan ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 696, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 8], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 8]]], [\"and\", [\"<=>\", [\"lying\", 0], [\"te...
{"split": "train", "index": 9586}
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: Mason, Mia, Ethan, James, Daniel, Oliver, Ella, Chloe, and Elizabeth. \"Elizabeth is a fool,\" Mason declared. As Mia put it, \"it is not the case that (El...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 697, \"statements\": [[\"lying\", 8], [\"not\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 5]]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 6], [\"telling-trut...
{"split": "train", "index": 9587}
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, Oliver, Michael, Liam, Samuel, Henry, Zoey, Emma, and Sofia. Charlotte told you that Oliver is a knave. Oliver said, \"it is not the case ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 698, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"lying\", 5]]], [\"not\", [\"not\", [\"telling-truth\", 5]]], [\"or\", [\"lying\", 2], [\"or\", [\"...
{"split": "train", "index": 9588}
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, Olivia, Ethan, Sebastian, Owen, Jack, Emily, Avery, and Matthew. Victoria asserted: \"Owen is a sage\". Olivia noted, \"if (if Olivia is a sage t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 699, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"or\", [\"lying\", 5], [\"lying\", 6], [\"telling-truth\", 3]]], [\"lying\", 7], [\"or\", [\"<=>\", [\"telling-...
{"split": "train", "index": 9589}
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: Scarlett, Charlotte, Sebastian, James, Michael, Olivia, Liam, Evelyn, and Jackson. Scarlett commented, \"James is an angel\". Charlotte told you that i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 700, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 6], [\"lying\", 3], [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"telling-truth\"...
{"split": "train", "index": 9590}
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: Mason, William, Victoria, Scarlett, Aiden, Owen, Isabella, Elizabeth, and Evelyn. Mason noted, \"if (Elizabeth is a sage) then (Elizabeth is a fool and Sca...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 701, \"statements\": [[\"->\", [\"not\", [\"lying\", 7]], [\"and\", [\"lying\", 7], [\"telling-truth\", 3], [\"telling-truth\", 7]]], [\"->\", [\"telling-truth\", 1], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"or\", [\"telling-t...
{"split": "train", "index": 9591}
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: Emily, Liam, Jackson, James, Lily, Harper, Jacob, Chloe, and Evelyn. Emily said that Liam is a laggard. \"Harper is a pioneer,\" Liam declared....
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 702, \"statements\": [[\"lying\", 1], [\"telling-truth\", 5], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 6]]], [\"->\", [\"or\", [\"lying\", 4], [...
{"split": "train", "index": 9592}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Samuel, Riley, David, Daniel, Michael, Mia, Ella, Grace, and Mason. Samuel said that Samuel is a knight and Mia is a knave. \"(Mia is a knight and El...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 703, \"statements\": [[\"and\", [\"telling-truth\", 0], [\"lying\", 5]], [\"and\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 6], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 6]]], [...
{"split": "train", "index": 9593}
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, Sophia, Emily, Luke, Jacob, Joseph, William, Lily, and Michael. \"(Michael is a saint) and Michael is a sinner,\" Victoria declared. Sophia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 704, \"statements\": [[\"and\", [\"not\", [\"lying\", 8]], [\"lying\", 8]], [\"->\", [\"and\", [\"lying\", 5], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 6], [\"lying\", 3]]], [\"or\", [\"->\", [\"lying\", 5], [\"telling-t...
{"split": "train", "index": 9594}
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, Harper, Aria, Charlotte, Owen, Evelyn, Ava, Elizabeth, and Emma. Emily commented, \"Harper is an altruist\". Harper stated, \"Owen is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 705, \"statements\": [[\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 4], [\"<=>\", [\"->\", [\"lying\", 0], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 5]]], [\"not\", [\"<=>\", [\"telli...
{"split": "train", "index": 9595}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Logan, Harper, Aurora, Charlotte, Michael, Jackson, Mason, Olivia, and Isabella. Logan was heard saying, \"Harper is a hero or Isabella is a hero\". ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 706, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"telling-truth\", 0], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 8]], [\"telling-truth\", 1]], [\"->\", [\"lying\", 7], [\"->\", [\...
{"split": "train", "index": 9596}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Victoria, David, Avery, Samuel, Emily, Abigail, Ethan, Aurora, and Harper. Victoria commented, \"Avery is a knave\". David stated, \"Emily is a knigh...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 707, \"statements\": [[\"lying\", 2], [\"telling-truth\", 4], [\"not\", [\"->\", [\"telling-truth\", 8], [\"lying\", 8]]], [\"->\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 4]], [\"and\", [\"lying\", 7], [\"telling-truth\...
{"split": "train", "index": 9597}
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: Isabella, Zoey, Avery, Luke, Aurora, Liam, Lucas, Michael, and Samuel. In a statement by Isabella: \"it is not the case that (Aurora is a hero and Lu...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 708, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 6]]], [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 8], [\"lying\", 2]]], [\"or\", [\"telling-trut...
{"split": "train", "index": 9598}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Emma, Matthew, Olivia, Ella, Henry, Chloe, Harper, Benjamin, and Mason. Emma remarked, \"(Ella is a pioneer if and only if Mason is a pioneer) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 709, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 8], [\"lying\", 8], [\"lying\", 3]]], [\"telling-truth\", 5], [\"<=>\", [\"not\", [\"telling-truth\", 2]],...
{"split": "train", "index": 9599}