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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: James, Aria, Samuel, Sophia, Penelope, Liam, Benjamin, Daniel, and Abigail. According to James, \"(it is not the case that (James is a knight and Lia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 922, \"statements\": [[\"or\", [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 5], [\"telling-truth\", 1], [\"lying\", 2]]], [\"lying\", 5], [\"<=>\", [\"lying\", 6], [\"and\", [\"lying\", 5], [\"telling-truth\", 7], [...
{"split": "train", "index": 18700}
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, Scarlett, Sofia, William, Riley, Ava, Emily, Aiden, and Lily. According to Michael, \"((Aiden is a villain if and only if Riley is a villain...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 923, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"lying\", 7], [\"lying\", 4]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 0]]], [\"not\", [\"or\...
{"split": "train", "index": 18701}
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: Emma, Oliver, Jack, Isabella, Benjamin, Joseph, Noah, Victoria, and Owen. Emma told you that if (it is not the case that (if Isabella is an ego...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 924, \"statements\": [[\"->\", [\"not\", [\"->\", [\"lying\", 3], [\"lying\", 2]]], [\"telling-truth\", 2]], [\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 5], [\"lying\", 4], [\"telling-truth\", 3], [\"lying\", 8]], [\"<=>\"...
{"split": "train", "index": 18702}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Harper, Jack, Victoria, Sofia, Benjamin, Aiden, Michael, Ethan, and Isabella. Harper told you that Benjamin is a devil. Jack commented, \"it is not the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 925, \"statements\": [[\"lying\", 4], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 5]]]], [\"or\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 5], ...
{"split": "train", "index": 18703}
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, Henry, Abigail, Michael, Aiden, Ella, Ethan, Matthew, and Olivia. Mason asserted: \"if ((Matthew is a knave if and only if Ella is a knight) a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 926, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 5]], [\"not\", [\"lying\", 1]]], [\"not\", [\"or\", [\"lying\", 8], [\"lying\", 7], [\"telling-truth\", 1]]]], [\"->\", [\"or\", [\"->\", [...
{"split": "train", "index": 18704}
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, Riley, Lily, Daniel, Oliver, Olivia, Avery, Liam, and Charlotte. \"it is not the case that (if Lily is a hero then (Daniel is a villain and Ch...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 927, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 2], [\"and\", [\"lying\", 3], [\"telling-truth\", 8], [\"lying\", 5], [\"lying\", 8]]]], [\"or\", [\"->\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 0]], ...
{"split": "train", "index": 18705}
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: Ava, William, Oliver, Mia, Aria, Sophia, Ethan, Aiden, and Jack. \"((if William is a sage then Aria is a sage) and Oliver is a sage and (Ava is a sage or A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 928, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"telling-truth\", 2], [\"or\", [\"telling-truth\", 0], [\"lying\", 7]]], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\...
{"split": "train", "index": 18706}
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, Jack, Sebastian, Joseph, Jacob, Charlotte, Sofia, Ethan, and Alexander. Chloe remarked, \"if ((Jack is a hero) if and only if (if Chloe is a h...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 929, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"lying\", 1]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 6]]], [\"lying\", 2]], [\"->\", [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 3]], [\"not\", [\"...
{"split": "train", "index": 18707}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Luke, Amelia, Joseph, William, Ella, James, Penelope, Lucas, and Sebastian. Luke told you that it is not the case that ((Amelia is a hero or Joseph i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 930, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 5]]]], [\"and\", [\"telling-truth\", 3], [\"<=>\", [\"not\", [\"telling-truth\",...
{"split": "train", "index": 18708}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Henry, Logan, Matthew, Ethan, Luke, Evelyn, Elizabeth, Emily, and Zoey. \"it is not the case that (Henry is a pioneer or (Evelyn is a pioneer o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 931, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 4], [\"lying\", 7]], [\"or\", [\"lying\", 3], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 2]]]], ...
{"split": "train", "index": 18709}
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, Alexander, Elizabeth, Logan, Jacob, Harper, Benjamin, Isabella, and Lucas. Olivia remarked, \"if Benjamin is a hero then (if (Olivia is a her...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 932, \"statements\": [[\"->\", [\"telling-truth\", 6], [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 6]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 2]]]], [\"not\", [\"->\", [\"or\", [\"lying\", 5], [\"lyi...
{"split": "train", "index": 18710}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Oliver, David, Aurora, Luke, Jackson, Aria, Zoey, Henry, and Abigail. Oliver said, \"Zoey is a fool and Abigail is a fool and Aria is a sage.\" David expre...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 933, \"statements\": [[\"and\", [\"lying\", 6], [\"lying\", 8], [\"telling-truth\", 5]], [\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 4], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 6], [\"lying\", 7]]], ...
{"split": "train", "index": 18711}
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, Samuel, Matthew, Luke, Lily, Jacob, Daniel, Michael, and Liam. Aurora noted, \"(if (if Jacob is an altruist then Jacob is an egoist) th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 934, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 5], [\"lying\", 5]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"lying\", 1], [\"lying\", 2]]]], [\"not\", [\"telling-truth\",...
{"split": "train", "index": 18712}
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, Emily, Elizabeth, Aiden, Charlotte, Aurora, Benjamin, Chloe, and Olivia. As Oliver put it, \"it is not the case that (if (Elizabeth is a sain...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 935, \"statements\": [[\"not\", [\"->\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"lying\", 1], [\"lying\", 8]]]], [\"lying\", 2], [\"not\", [\"lying\", 3]], [\"lying\", 7], [\"telling-truth\", 3], [\"->\", [\"not\", [\"not\", [...
{"split": "train", "index": 18713}
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: Michael, Charlotte, Owen, Evelyn, Emily, Samuel, James, Abigail, and Harper. Michael expressed that it is not the case that (it is not the case that ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 936, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 6]]]], [\"telling-truth\", 8], [\"and\", [\"->\", [\"telling-truth\", 5], [\"and\", [\"lying\", 5], [\"telling-truth\", 2], [\"telling-tru...
{"split": "train", "index": 18714}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: James, Aria, Emma, Jack, Abigail, Jacob, Lily, Amelia, and Samuel. James noted, \"Emma is an egoist\". \"((Jack is an egoist if and only if Jac...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 937, \"statements\": [[\"lying\", 2], [\"or\", [\"<=>\", [\"<=>\", [\"lying\", 3], [\"lying\", 5]], [\"and\", [\"lying\", 0], [\"lying\", 3], [\"telling-truth\", 7], [\"lying\", 4]]], [\"<=>\", [\"not\", [\"lying\", 7]], [\"->...
{"split": "train", "index": 18715}
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: Abigail, Olivia, Jack, Mia, Ethan, Jacob, Sofia, Aurora, and Alexander. \"Aurora is an egoist,\" Abigail declared. In Olivia's words: \"Jacob i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 938, \"statements\": [[\"lying\", 7], [\"or\", [\"lying\", 5], [\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 4]], [\"not\", [\"telling-truth\", 3]]]], [\"telling-truth\", 5], [\"and\", [\"or\", [\"not\", [\"telling-t...
{"split": "train", "index": 18716}
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: Aiden, Ava, Noah, Owen, Victoria, Matthew, Olivia, Samuel, and Joseph. Aiden expressed that Samuel is an egoist. Ava expressed that it is not t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 939, \"statements\": [[\"lying\", 7], [\"not\", [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 5], [\"lying\", 8]], [\"->\", [\"lying\", 2], [\"telling-truth\", 6]]]], [\"or\",...
{"split": "train", "index": 18717}
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: Charlotte, Daniel, Grace, Luke, William, Lucas, Noah, Jacob, and Victoria. As Charlotte put it, \"it is not the case that (Noah is a laggard or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 940, \"statements\": [[\"not\", [\"or\", [\"lying\", 6], [\"or\", [\"lying\", 2], [\"telling-truth\", 8], [\"telling-truth\", 2]]]], [\"not\", [\"or\", [\"telling-truth\", 6], [\"not\", [\"telling-truth\", 2]]]], [\"->\", [\"-...
{"split": "train", "index": 18718}
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: Noah, Abigail, Ava, Isabella, Penelope, Sophia, Oliver, Chloe, and Jacob. Noah expressed that (if Ava is an angel then (Sophia is a devil if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 941, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 2], [\"<=>\", [\"lying\", 5], [\"lying\", 2]]], [\"telling-truth\", 6]], [\"and\", [\"or\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"lying\", 7],...
{"split": "train", "index": 18719}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Ethan, Noah, Mason, Riley, Zoey, Isabella, Aurora, Sofia, and Owen. Ethan stated, \"Sofia is an altruist or ((Noah is an altruist or Aurora is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 942, \"statements\": [[\"or\", [\"telling-truth\", 7], [\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 6]], [\"lying\", 1], [\"not\", [\"telling-truth\", 3]]]], [\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 6], [\"te...
{"split": "train", "index": 18720}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Mason, Elizabeth, Zoey, Alexander, Joseph, Ethan, Aria, Ava, and Liam. In a statement by Mason: \"(if (if Alexander is a devil then Zoey is a devil) th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 943, \"statements\": [[\"and\", [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"lying\", 6], [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"and\", [\"lying\", 8], [\"lying\", 6...
{"split": "train", "index": 18721}
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: Matthew, Grace, Logan, Evelyn, Henry, Mason, Daniel, Harper, and Aurora. Matthew remarked, \"((Logan is a sage and Grace is a fool and Aurora is a sage and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 944, \"statements\": [[\"and\", [\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1], [\"telling-truth\", 8], [\"lying\", 5]], [\"<=>\", [\"lying\", 8], [\"lying\", 7]], [\"lying\", 7]], [\"and\", [\"telling-truth\", 8], ...
{"split": "train", "index": 18722}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Alexander, Sebastian, Daniel, Olivia, Samuel, Amelia, Victoria, Isabella, and Avery. \"((Olivia is a knight or Sebastian is a knave or Amelia is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 945, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1], [\"telling-truth\", 5], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 1]]], [\"->\", [\"or\", [\"lying\", 1], [\"tellin...
{"split": "train", "index": 18723}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Mia, Mason, William, Penelope, Emma, Aurora, Grace, Alexander, and Samuel. Mia was heard saying, \"((Mason is an altruist if and only if Samuel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 946, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 8]], [\"->\", [\"lying\", 4], [\"telling-truth\", 6]], [\"telling-truth\", 8]], [\"and\", [\"or\", [\"telling-truth\", 7], [\"lying\", 1], ...
{"split": "train", "index": 18724}
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: Noah, Ella, Chloe, Michael, Jacob, Henry, Aurora, Joseph, and Grace. Noah stated, \"it is not the case that (if (if Joseph is a devil then Aurora is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 947, \"statements\": [[\"not\", [\"->\", [\"->\", [\"lying\", 7], [\"telling-truth\", 6]], [\"or\", [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 7]]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"and\", [\"lying\", 8],...
{"split": "train", "index": 18725}
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: Mia, Logan, Sophia, Ethan, Ava, Sofia, William, Liam, and Michael. \"if ((Liam is a laggard) or (Liam is a laggard if and only if Michael is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 948, \"statements\": [[\"->\", [\"or\", [\"not\", [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 8]]], [\"not\", [\"not\", [\"lying\", 5]]]], [\"->\", [\"->\", [\"not\", [\"telling-truth\", 1]], [\"not\...
{"split": "train", "index": 18726}
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, Zoey, Olivia, Emily, Isabella, James, Henry, Sebastian, and Lily. According to Lucas, \"((Emily is a devil and Lucas is an angel and James is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 949, \"statements\": [[\"or\", [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0], [\"lying\", 5]], [\"not\", [\"telling-truth\", 1]], [\"or\", [\"lying\", 7], [\"telling-truth\", 2], [\"lying\", 8]]], [\"telling-truth...
{"split": "train", "index": 18727}
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, Ella, James, Amelia, Elizabeth, Samuel, Mason, Scarlett, and Zoey. Jacob asserted: \"(if (if Zoey is a saint then Samuel is a saint) then (Ame...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 950, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"telling-truth\", 8]], [\"or\", [\"and\", [\"and\", [\"telling-truth\", 1...
{"split": "train", "index": 18728}
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: Ava, Riley, Emily, Evelyn, Victoria, Sebastian, Mia, Samuel, and Mason. \"((Mia is a sage) and (Mia is a fool) and (if Evelyn is a sage then Emily is a sag...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 951, \"statements\": [[\"and\", [\"and\", [\"not\", [\"lying\", 6]], [\"not\", [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lyin...
{"split": "train", "index": 18729}
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, Jacob, Penelope, Avery, Mia, Mason, Jack, Liam, and Riley. Jackson remarked, \"if ((if Jack is a knight then Avery is a knave) if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 952, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 6], [\"lying\", 3]], [\"and\", [\"lying\", 1], [\"telling-truth\", 0], [\"telling-truth\", 8], [\"telling-truth\", 1]]], [\"<=>\", [\"lying\", 6], [\"<=>\",...
{"split": "train", "index": 18730}
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, Samuel, Liam, Victoria, Jackson, Aiden, Logan, Penelope, and Ava. Ethan said that if (Aiden is a fool and (if Ava is a sage then Aiden is a sage)) t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 953, \"statements\": [[\"->\", [\"and\", [\"lying\", 5], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 5]]], [\"lying\", 2]], [\"<=>\", [\"lying\", 0], [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 6], [\"tellin...
{"split": "train", "index": 18731}
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, Michael, Oliver, Joseph, David, Isabella, Henry, Sophia, and Matthew. Chloe commented, \"((Oliver is a sinner if and only if David is a saint)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 954, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0], [\"lying\", 6]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 2]], [\"or\",...
{"split": "train", "index": 18732}
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, Aiden, Daniel, Michael, Luke, Ethan, Abigail, Penelope, and William. In a statement by Elizabeth: \"((Luke is a pioneer) or (if Abig...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 955, \"statements\": [[\"and\", [\"or\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 3]], [\"telling-truth\", 0]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 7]], [\"and\", [\"l...
{"split": "train", "index": 18733}
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: Sofia, Victoria, Joseph, Isabella, Lily, Zoey, Emma, Benjamin, and Oliver. Sofia was heard saying, \"Oliver is a villain\". \"it is not the case that...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 956, \"statements\": [[\"lying\", 8], [\"not\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 0], [\"lying\", 7], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"lying\", 0]]]], [\"->\", [\"and\", [\"not\"...
{"split": "train", "index": 18734}
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, Scarlett, Charlotte, David, Zoey, Grace, Sofia, Chloe, and Sebastian. Jackson said that if ((Grace is a knight if and only if Chloe is a kna...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 957, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 7]], [\"telling-truth\", 7]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 5]]]], [\"or\", [\"lying\", 8], [\"->\", [\"telling-tr...
{"split": "train", "index": 18735}
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: Riley, Alexander, Emma, Aurora, Liam, Zoey, Lucas, Luke, and Logan. Riley asserted: \"Logan is a villain\". \"Riley is a villain,\" Alexander claimed...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 958, \"statements\": [[\"lying\", 8], [\"lying\", 0], [\"and\", [\"and\", [\"->\", [\"lying\", 6], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 6], [\"telling...
{"split": "train", "index": 18736}
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, Lucas, Emily, Ethan, Liam, James, Matthew, Sophia, and Aurora. \"if (if (Sophia is a villain or Ethan is a hero or James is a hero) then (Auro...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 959, \"statements\": [[\"->\", [\"->\", [\"or\", [\"lying\", 7], [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"not\", [\"lying\", 8]]], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 8], [\"->\", [\"and\", [\"lyi...
{"split": "train", "index": 18737}
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, Jack, Riley, Harper, Elizabeth, Avery, Victoria, Sofia, and Ella. \"(if Jack is a laggard then (if Ella is a pioneer then Sofia is a pi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 960, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 1], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 7]]], [\"or\", [\"and\", [\"telling-truth\", 5], [\"lying\", 3], [\"telling-truth\", 6], [\"lying\", 5]], [\"and\", ...
{"split": "train", "index": 18738}
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, Lucas, Matthew, Aiden, Samuel, Evelyn, Owen, Emma, and James. In a statement by Mason: \"((Emma is a fool if and only if Evelyn is a fool) if and on...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 961, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"lying\", 7], [\"lying\", 5]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 7], [\"telling-truth\", 6]]], [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]...
{"split": "train", "index": 18739}
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, Zoey, Alexander, Benjamin, Sofia, Emily, David, William, and Daniel. Olivia asserted: \"Benjamin is an egoist\". \"(if (Sofia is an ego...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 962, \"statements\": [[\"lying\", 3], [\"or\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 7]]], [\"<=>\", [\"lying\", 4], [\"->\", [\"lying\", 8], [\"lying\", 5]]], [\"<=>\", [\"t...
{"split": "train", "index": 18740}
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: Penelope, Emma, Aiden, Michael, William, Oliver, Scarlett, Alexander, and Zoey. \"William is a pioneer\" - Penelope. Emma said that ((Michael i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 963, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 0]], [\"lying\", 7], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 3], [\"telling-truth\", 8], [\"telling-truth\", 5...
{"split": "train", "index": 18741}
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: Scarlett, Abigail, Oliver, Amelia, David, Samuel, Victoria, Elizabeth, and Ella. Scarlett said, \"it is not the case that ((Samuel is a saint) or (El...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 964, \"statements\": [[\"not\", [\"or\", [\"not\", [\"lying\", 5]], [\"or\", [\"lying\", 8], [\"lying\", 3]], [\"and\", [\"telling-truth\", 4], [\"lying\", 5]]]], [\"or\", [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\",...
{"split": "train", "index": 18742}
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, Benjamin, Chloe, Aria, Emily, Sofia, Emma, Ava, and Lucas. William asserted: \"Ava is a fool or (if Emma is a fool then (if Emily is a fool then B...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 965, \"statements\": [[\"or\", [\"lying\", 7], [\"->\", [\"lying\", 6], [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"not\", [\"<=>\", [\"lying\", 1], [\"lying\", 5]]]], [\"or\", [\"lying\", 7], [\"or\", [\"or\", [\"ly...
{"split": "train", "index": 18743}
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: Michael, Noah, Isabella, Alexander, Sebastian, Logan, Olivia, Ella, and Jack. Michael noted, \"if (it is not the case that (Olivia is a pioneer...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 966, \"statements\": [[\"->\", [\"not\", [\"not\", [\"lying\", 6]]], [\"not\", [\"lying\", 8]]], [\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 0]], [\"not\", [\"telling-truth\", 5]]], [\"not\", [\"lying\", 5]...
{"split": "train", "index": 18744}
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, Grace, Emma, Joseph, Ethan, Lucas, Noah, Isabella, and Evelyn. Matthew asserted: \"((Isabella is a hero or Lucas is a villain or Evelyn is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 967, \"statements\": [[\"and\", [\"and\", [\"or\", [\"telling-truth\", 7], [\"lying\", 5], [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"->\", [\"lying\", 6], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 0], [\"lying\"...
{"split": "train", "index": 18745}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Zoey, Ethan, James, Aurora, David, Matthew, Isabella, Ava, and Noah. Zoey noted, \"(it is not the case that (Ava is a laggard if and only if Et...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 968, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 1]]], [\"lying\", 8]], [\"<=>\", [\"->\", [\"or\", [\"lying\", 7], [\"lying\", 0]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"not\", ...
{"split": "train", "index": 18746}
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, William, Noah, Emma, Harper, Luke, Evelyn, Jack, and Benjamin. \"it is not the case that (William is a knave if and only if (Noah is a knave ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 969, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 1], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 8]]]], [\"or\", [\"or\", [\"->\", [\"lying\", 8], [\"telling-truth\", 2]], [\"telling-truth\", 2], [\"not\", [\"telling-tr...
{"split": "train", "index": 18747}
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: Zoey, Sophia, Aurora, Liam, Sebastian, Jack, Joseph, Michael, and Sofia. Zoey commented, \"it is not the case that (Sophia is a sage or (Liam is a fool or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 970, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 1], [\"or\", [\"lying\", 3], [\"lying\", 7]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 8]]]], [\"and\", [\"telling-truth\", 3], [\"->\", [\"<=>\", [\"te...
{"split": "train", "index": 18748}
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: Penelope, Aiden, Victoria, Samuel, Emily, Jack, Benjamin, Noah, and Chloe. Penelope asserted: \"Benjamin is a pioneer\". According to Aiden, \"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 971, \"statements\": [[\"telling-truth\", 6], [\"<=>\", [\"->\", [\"telling-truth\", 6], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 8]]], [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 5]], [\"not\", [\"lying\", 4]]]], [\"or...
{"split": "train", "index": 18749}
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, Oliver, Sebastian, Evelyn, Mia, Chloe, Aiden, Harper, and Abigail. As Emily put it, \"Sebastian is an egoist\". Oliver said, \"(if (Seba...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 972, \"statements\": [[\"lying\", 2], [\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 8], [\"telling-truth\", 4], [\"lying\", 8]], [\"or\", [\"lying\", 3], [\"telling-truth\", 8], [\"telling-truth\", 6...
{"split": "train", "index": 18750}
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, Isabella, William, Luke, Matthew, Michael, Daniel, Evelyn, and Alexander. Jack said, \"((Matthew is a laggard if and only if Daniel is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 973, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 6]], [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 4], [\"lying\", 3], [\"telling-truth\", 7]]], [\"->\",...
{"split": "train", "index": 18751}
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: Michael, William, Isabella, Olivia, Aiden, Charlotte, Henry, Ava, and Chloe. Michael expressed that (if (Isabella is a knight or Charlotte is a knave...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 974, \"statements\": [[\"and\", [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 5], [\"telling-truth\", 6]], [\"lying\", 8]], [\"and\", [\"lying\", 5], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 4], [\"telling-...
{"split": "train", "index": 18752}
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, Isabella, Alexander, Jackson, Benjamin, Abigail, Grace, Lucas, and Charlotte. As Sofia put it, \"Isabella is a fool\". \"((Benjamin is a sage if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 975, \"statements\": [[\"lying\", 1], [\"or\", [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]], [\"or\", [\"telling-truth\", 6], [\"lying\", 5], [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"or\", [\"not\", [...
{"split": "train", "index": 18753}
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: Jack, Avery, Sebastian, Aiden, Riley, Abigail, Jacob, William, and Alexander. Jack stated, \"((if Alexander is a fool then Abigail is a fool) or (Sebastian...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 976, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"lying\", 8], [\"lying\", 5]], [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"lying\", 2], [\"lying\", 7]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-tru...
{"split": "train", "index": 18754}
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: Jack, Avery, Emily, Olivia, Lily, Alexander, Charlotte, Matthew, and Sophia. Jack asserted: \"(it is not the case that (Alexander is a fool)) if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 977, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 5]]], [\"not\", [\"or\", [\"telling-truth\", 5], [\"lying\", 2]]]], [\"lying\", 7], [\"lying\", 7], [\"<=>\", [\"->\", [\"lying\", 6], [\"<=>\", [\"tellin...
{"split": "train", "index": 18755}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Mason, Zoey, Riley, Oliver, Samuel, William, Sophia, Ava, and Jack. Mason was heard saying, \"((Sophia is a laggard) and Riley is a laggard and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 978, \"statements\": [[\"and\", [\"and\", [\"not\", [\"telling-truth\", 6]], [\"lying\", 2], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 6]]], [\"and\", [\"lying\", 1...
{"split": "train", "index": 18756}
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, Owen, Ella, Jackson, Emily, Zoey, Victoria, Evelyn, and Sofia. \"(Jackson is a sage if and only if (Emily is a fool and Jackson is a sage and Sofia...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 979, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 3], [\"and\", [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 8], [\"telling-truth\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 6], [\...
{"split": "train", "index": 18757}
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, Alexander, William, Aiden, Owen, James, Penelope, Aria, and Ella. Elizabeth stated, \"if (Ella is a pioneer or (James is a pioneer a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 980, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 8], [\"and\", [\"telling-truth\", 5], [\"lying\", 5], [\"lying\", 6]]], [\"lying\", 8]], [\"<=>\", [\"or\", [\"not\", [\"lying\", 6]], [\"and\", [\"lying\", 6], [\"ly...
{"split": "train", "index": 18758}
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, Aurora, Mason, David, Ella, James, Harper, Emily, and Olivia. Aiden said, \"James is a sage if and only if Emily is a fool.\" As Aurora put it, \"(i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 981, \"statements\": [[\"<=>\", [\"telling-truth\", 5], [\"lying\", 7]], [\"or\", [\"->\", [\"->\", [\"telling-truth\", 6], [\"lying\", 7]], [\"not\", [\"telling-truth\", 8]]], [\"not\", [\"->\", [\"lying\", 4], [\"lying\", 3]...
{"split": "train", "index": 18759}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Elizabeth, Ethan, Jacob, Amelia, Samuel, Avery, Sebastian, Lucas, and Aiden. Elizabeth expressed that Samuel is a fool. \"Aiden is a sage,\" Ethan mentione...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 982, \"statements\": [[\"lying\", 4], [\"telling-truth\", 8], [\"lying\", 5], [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 1]], [\"or\", [\"telling-truth\", 2], ...
{"split": "train", "index": 18760}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Oliver, Riley, Henry, Penelope, David, Michael, Aria, Mason, and Jacob. In a statement by Oliver: \"it is not the case that (it is not the case that (Aria ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 983, \"statements\": [[\"not\", [\"not\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 3], [\"lying\", 5]]]], [\"lying\", 7], [\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 7], [\"lying\", 4]]], [\"not\", [\"or\", ...
{"split": "train", "index": 18761}
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: Michael, Ava, Sofia, Aria, Samuel, Charlotte, Luke, Alexander, and Chloe. As Michael put it, \"((Chloe is a knight) if and only if Chloe is a knave) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 984, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"lying\", 8]], [\"lying\", 8]], [\"<=>\", [\"or\", [\"lying\", 5], [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 8]]]], [\"->\", [\"or\", [...
{"split": "train", "index": 18762}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Scarlett, Evelyn, William, Joseph, Victoria, Zoey, Emily, Sofia, and Owen. As Scarlett put it, \"((if Victoria is a villain then William is a villain...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 985, \"statements\": [[\"and\", [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3], [\"lying\", 6]]], [\"lying\", 3], [\"lying\", 4]], [\"lying\", 3], [\"or\", [\"and\", [\"and\...
{"split": "train", "index": 18763}
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: Lily, Luke, Evelyn, Liam, Samuel, Michael, Amelia, Ava, and Emma. Lily noted, \"(Liam is a hero and (Evelyn is a hero if and only if Michael is a her...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 986, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 5]]], [\"or\", [\"->\", [\"lying\", 8], [\"telling-truth\", 4]], [\"or\", [\"lying\", 6], [\"lying\", 5], [...
{"split": "train", "index": 18764}
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: Abigail, Sophia, Matthew, Olivia, James, Henry, Victoria, David, and Aria. As Abigail put it, \"((if James is a villain then Henry is a villain) and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 987, \"statements\": [[\"and\", [\"and\", [\"->\", [\"lying\", 4], [\"lying\", 5]], [\"and\", [\"lying\", 8], [\"telling-truth\", 5], [\"lying\", 5]], [\"and\", [\"telling-truth\", 3], [\"lying\", 3], [\"telling-truth\", 0], [...
{"split": "train", "index": 18765}
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: Scarlett, Henry, Michael, Lucas, Sophia, Daniel, Riley, Penelope, and Mia. Scarlett remarked, \"it is not the case that (Penelope is a knave)\". Henr...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 988, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 7]]], [\"<=>\", [\"->\", [\"not\", [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 7]]], [\"lying\", 7]], [\"and\", [\"lying\", 6], [\"->\", ...
{"split": "train", "index": 18766}
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, Charlotte, Abigail, Jackson, Alexander, Harper, Chloe, Scarlett, and Ava. In a statement by Emily: \"((Ava is an egoist and Harper is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 989, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"lying\", 8], [\"telling-truth\", 5], [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 1]]], [\"and\", [\"->\", [\"lying\", 3]...
{"split": "train", "index": 18767}
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, Liam, Lily, Harper, Oliver, Zoey, Daniel, Jackson, and Henry. Scarlett noted, \"(it is not the case that (if Liam is a devil then Lily is a d...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 990, \"statements\": [[\"and\", [\"not\", [\"->\", [\"lying\", 1], [\"lying\", 2]]], [\"and\", [\"telling-truth\", 0], [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"and\", [\"telling-truth\", 1], [\"lying\", 1], [\"lying\", 5]...
{"split": "train", "index": 18768}
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: Jackson, Lucas, Joseph, Penelope, Daniel, Mason, Henry, Elizabeth, and Emily. Jackson noted, \"Henry is an egoist and (it is not the case that ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 991, \"statements\": [[\"and\", [\"lying\", 6], [\"not\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 8]]]], [\"<=>\", [\"or\", [\"lying\", 6], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"and\", [\"not\", ...
{"split": "train", "index": 18769}
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: Jacob, James, Riley, Jackson, William, Noah, Ella, Mason, and Luke. \"((Luke is a villain) or (Luke is a villain if and only if Mason is a villain) o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 992, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 8], [\"lying\", 7]], [\"and\", [\"telling-truth\", 0], [\"lying\", 8], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 5]...
{"split": "train", "index": 18770}
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: Henry, William, Olivia, Michael, Harper, Aria, Ava, Jackson, and James. \"(Jackson is a hero and (Jackson is a hero if and only if Olivia is a villai...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 993, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 7], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 2]], [\"and\", [\"telling-truth\", 0], [\"lying\", 5], [\"lying\", 8]], [\"or\", [\"lying\", 6], [\"telling-truth\"...
{"split": "train", "index": 18771}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Charlotte, James, Liam, Logan, Victoria, Emma, Avery, Joseph, and Emily. Charlotte said, \"Victoria is an altruist.\" In a statement by James: ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 994, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 5]], [\"and\", [\"lying\", 4], [\"telling-tru...
{"split": "train", "index": 18772}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Evelyn, Avery, Aria, Lily, David, Lucas, Sofia, Scarlett, and Michael. Evelyn was heard saying, \"(if (David is an angel) then (if Michael is an angel ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 995, \"statements\": [[\"or\", [\"->\", [\"not\", [\"lying\", 4]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 7]]], [\"and\", [\"or\", [\"lying\", 1], [\"telling-truth\", 7], [\"lying\", 4], [\"telling-truth\", 3]], ...
{"split": "train", "index": 18773}
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, Benjamin, Mia, Lily, Abigail, Liam, David, William, and Owen. Jacob stated, \"Mia is a pioneer\". In a statement by Benjamin: \"((if Jac...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 996, \"statements\": [[\"telling-truth\", 2], [\"and\", [\"and\", [\"->\", [\"lying\", 0], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"lying\", 8], [\"telling-truth\", 6]]], [\"->\", [\"<=>\...
{"split": "train", "index": 18774}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Scarlett, Alexander, Emily, Avery, Samuel, William, Oliver, Evelyn, and Owen. \"((if Emily is a laggard then Alexander is a laggard) or (Avery ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 997, \"statements\": [[\"and\", [\"or\", [\"->\", [\"lying\", 2], [\"lying\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 8], [\"lying\", 6], [\"lying\", 4]], [\...
{"split": "train", "index": 18775}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Sebastian, James, Matthew, David, Penelope, Joseph, Isabella, Samuel, and Ella. Sebastian said, \"((James is a sage and James is a fool) or (Matthew is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 998, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1]], [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"lying\", 8], [\"telling-truth\", 1]]], [\"lying\", 7], [\"lying\", 3]], [\"lying\",...
{"split": "train", "index": 18776}
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, Chloe, Avery, Jackson, Michael, Evelyn, Ella, Joseph, and Jack. \"((Ella is a knight if and only if Aiden is a knight) if and only if (Ella is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 999, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 6], [\"lying\", 1], [\"lying\", 6]]], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 8]...
{"split": "train", "index": 18777}
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: Evelyn, Amelia, Mia, Scarlett, Henry, Chloe, Lucas, Ella, and Ethan. Evelyn said, \"it is not the case that (it is not the case that (if Ethan is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1000, \"statements\": [[\"not\", [\"not\", [\"->\", [\"lying\", 8], [\"telling-truth\", 2]]]], [\"->\", [\"not\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 4]]], [\"or\", [\"lying\", 4], [\"<=>\", [\"lying\", 5], [\"lying\...
{"split": "train", "index": 18778}
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, Lucas, Harper, Victoria, Amelia, David, Abigail, Sofia, and Evelyn. Mason noted, \"if (Abigail is an altruist) then ((Evelyn is an altru...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1001, \"statements\": [[\"->\", [\"not\", [\"lying\", 6]], [\"and\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 6]], [\"or\", [\"lying\", 4], [\"telling-truth\", 1], [\"lying\", 3]]]], [\"->\", [\"not\", [\"->\", [\...
{"split": "train", "index": 18779}
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: Samuel, Grace, Olivia, Logan, Ella, Daniel, Liam, Emily, and Aurora. Samuel remarked, \"it is not the case that (Liam is an altruist)\". Grace ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1002, \"statements\": [[\"not\", [\"not\", [\"lying\", 6]]], [\"->\", [\"lying\", 3], [\"->\", [\"and\", [\"lying\", 8], [\"telling-truth\", 7], [\"telling-truth\", 1], [\"lying\", 7]], [\"->\", [\"lying\", 7], [\"lying\", 0]]...
{"split": "train", "index": 18780}
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, Liam, Ethan, Logan, Mia, Owen, Henry, Aiden, and Olivia. Emma commented, \"it is not the case that (it is not the case that (Liam is a knight o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1003, \"statements\": [[\"not\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3], [\"telling-truth\", 5], [\"lying\", 5]]]], [\"lying\", 7], [\"->\", [\"->\", [\"telling-truth\", 7], [\"and\", [\"lying\", 3], [\"tell...
{"split": "train", "index": 18781}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Benjamin, Avery, Matthew, Emma, Logan, Jackson, Zoey, Lily, and Michael. Benjamin asserted: \"Zoey is a devil\". Avery was heard saying, \"Benjamin is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1004, \"statements\": [[\"lying\", 6], [\"and\", [\"telling-truth\", 0], [\"or\", [\"->\", [\"lying\", 0], [\"lying\", 8]], [\"->\", [\"telling-truth\", 8], [\"lying\", 8]]]], [\"->\", [\"not\", [\"or\", [\"lying\", 8], [\"tel...
{"split": "train", "index": 18782}
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, Abigail, Emma, Matthew, Owen, William, Ella, Joseph, and Sofia. Chloe stated, \"Emma is an altruist\". Abigail was heard saying, \"if So...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1005, \"statements\": [[\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 8], [\"lying\", 0]], [\"not\", [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0]], [\"and\", [\"lying\", 6], [\"lying\", 1], [\"lying\", 3], [\"tell...
{"split": "train", "index": 18783}
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, James, William, Mason, Scarlett, Daniel, Sophia, Lucas, and Ella. Logan said that if ((Sophia is an egoist and Ella is an egoist and Wil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1006, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"lying\", 6], [\"lying\", 8], [\"lying\", 2], [\"telling-truth\", 2]], [\"->\", [\"lying\", 7], [\"telling-truth\", 5]]], [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-trut...
{"split": "train", "index": 18784}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Logan, Ava, Victoria, Jack, Riley, Zoey, Grace, Charlotte, and Scarlett. Logan remarked, \"it is not the case that ((Jack is a sage or Scarlett is a sage o...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1007, \"statements\": [[\"not\", [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 8], [\"lying\", 4]], [\"lying\", 4]]], [\"<=>\", [\"and\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 7]], [\"and\", [\"telling-...
{"split": "train", "index": 18785}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Henry, Grace, Daniel, Emily, Isabella, Lucas, William, Michael, and Liam. Henry said, \"(if (Liam is a saint or Isabella is a saint) then (if Lucas i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1008, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 6]]], [\"or\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 3]],...
{"split": "train", "index": 18786}
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, Amelia, Isabella, Riley, Jackson, Benjamin, Mason, Evelyn, and Zoey. In Sofia's words: \"if ((if Amelia is a sage then Isabella is a sage) or (Benja...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1009, \"statements\": [[\"->\", [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"not\", [\"lying\", 5]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 7]]], [\"->\", [\"or\", [\"telling-truth\", 5],...
{"split": "train", "index": 18787}
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: Riley, Aiden, Noah, Emily, Zoey, Charlotte, Lily, Abigail, and Mason. According to Riley, \"it is not the case that (if (Emily is an altruist a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1010, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 3], [\"lying\", 6], [\"telling-truth\", 5]], [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"or\", [\"lying\", ...
{"split": "train", "index": 18788}
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, Jacob, Sophia, Zoey, Riley, Liam, Chloe, Jack, and Evelyn. In a statement by Oliver: \"it is not the case that (it is not the case that (Chlo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1011, \"statements\": [[\"not\", [\"not\", [\"not\", [\"lying\", 6]]]], [\"<=>\", [\"<=>\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 1]], [\"->\", [\"lying\", 6], [\"lying\", 7]]], [\"telling-truth\", 5]], [\"or\", [\"->\...
{"split": "train", "index": 18789}
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: Sebastian, Oliver, Lily, James, Alexander, Elizabeth, Penelope, Matthew, and Daniel. In a statement by Sebastian: \"(it is not the case that (if Jame...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1012, \"statements\": [[\"or\", [\"not\", [\"->\", [\"lying\", 3], [\"lying\", 5]]], [\"lying\", 2], [\"and\", [\"telling-truth\", 3], [\"or\", [\"lying\", 1], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 8], [\"telling-trut...
{"split": "train", "index": 18790}
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: Samuel, Jacob, Daniel, Harper, Lucas, Abigail, Aria, Evelyn, and William. Samuel said that if ((Harper is an altruist or Aria is an altruist or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1013, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 6], [\"telling-truth\", 8], [\"lying\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 6]]], [\"<=>\", [\"and\", [\"lying\", 2],...
{"split": "train", "index": 18791}
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: Alexander, James, Penelope, Michael, Matthew, David, Jacob, Lucas, and Scarlett. \"if ((if Scarlett is a fool then Penelope is a sage) if and only if (Luca...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1014, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"lying\", 8], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 7], [\"lying\", 5]]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"telling-truth\", 6]...
{"split": "train", "index": 18792}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Charlotte, Aria, Aiden, Zoey, Harper, Sebastian, Ethan, David, and Victoria. Charlotte asserted: \"(Harper is an altruist) and ((Harper is an e...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1015, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 6], [\"lying\", 6]], [\"->\", [\"lying\", 5], [\"telling-truth\", 6]], [\"->\", [\"lying\", ...
{"split": "train", "index": 18793}
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: David, Daniel, Lucas, Henry, Sophia, Charlotte, Evelyn, Samuel, and Grace. David said that ((Grace is a sinner and Samuel is a sinner and Sophia is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1016, \"statements\": [[\"or\", [\"and\", [\"and\", [\"lying\", 8], [\"lying\", 7], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 6]]], [\"->\", [\"not\", [\"lying\", 2]], [\"or\", [\"lying\", 3], [\"l...
{"split": "train", "index": 18794}
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, William, Aurora, Zoey, Owen, Isabella, Abigail, Emily, and Henry. Mia commented, \"((Zoey is a sinner) or Henry is a sinner or (Mia is a sinner)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1017, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 8], [\"not\", [\"telling-truth\", 0]], [\"not\", [\"lying\", 8]]], [\"telling-truth\", 6], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\...
{"split": "train", "index": 18795}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Henry, Sebastian, Chloe, Olivia, Michael, Noah, William, David, and Benjamin. \"((Sebastian is a pioneer and David is a laggard and David is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1018, \"statements\": [[\"and\", [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 7], [\"telling-truth\", 7], [\"lying\", 2]], [\"and\", [\"lying\", 6], [\"telling-truth\", 6], [\"lying\", 3]], [\"<=>\", [\"lying\", 3],...
{"split": "train", "index": 18796}
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: Matthew, Alexander, Penelope, Scarlett, Evelyn, Lucas, Aria, Aurora, and Samuel. Matthew noted, \"if (if (Aurora is a knave and Samuel is a knave and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1019, \"statements\": [[\"->\", [\"->\", [\"and\", [\"lying\", 7], [\"lying\", 8], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 7]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 4], [\"ly...
{"split": "train", "index": 18797}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Amelia, Matthew, Elizabeth, Michael, Jack, Noah, Jackson, James, and Sebastian. Amelia expressed that ((if Jackson is an altruist then Jack is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1020, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 6], [\"lying\", 4]], [\"and\", [\"lying\", 5], [\"telling-truth\", 8]]], [\"telling-truth\", 3]], [\"telling-truth\", 7], [\"->\", [\"->\", [\"and\", [\"t...
{"split": "train", "index": 18798}
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, Oliver, Noah, William, Scarlett, Jackson, Sofia, Penelope, and Ethan. Ella said that ((Penelope is a villain and Oliver is a hero) if and only ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1021, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"lying\", 7], [\"telling-truth\", 1]], [\"and\", [\"lying\", 5], [\"telling-truth\", 1]]], [\"not\", [\"lying\", 6]], [\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\"...
{"split": "train", "index": 18799}