data_source
stringclasses
1 value
prompt
stringlengths
948
4.18k
ability
stringclasses
1 value
reward_model
stringlengths
1.89k
8.09k
extra_info
stringlengths
30
34
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: Emma, Alexander, Evelyn, Noah, Aria, Jackson, Avery, Lucas, and Mason. Emma told you that (it is not the case that (Evelyn is an angel if and only if L...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 766, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 7]]], [\"lying\", 5]], [\"not\", [\"lying\", 5]], [\"telling-truth\", 7], [\"telling-truth\", 1], [\"and\", [\"and\", [\"telling-t...
{"split": "train", "index": 14100}
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, Ethan, Jacob, Oliver, Ella, Zoey, Aurora, Benjamin, and Emily. \"((Ella is a sage if and only if Benjamin is a fool) and (Ella is a fool or Zoey is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 767, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 7]], [\"or\", [\"lying\", 4], [\"lying\", 5]]], [\"not\", [\"lying\", 7]]], [\"or\", [\"and\", [\"telling-truth\", 0], [\"not\", [\"tellin...
{"split": "train", "index": 14101}
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: Lily, Avery, Emma, Alexander, Michael, Owen, William, Samuel, and Matthew. As Lily put it, \"Matthew is a sage\". \"(it is not the case that (Owen is a sag...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 768, \"statements\": [[\"telling-truth\", 8], [\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 7]]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 8]]]], [\"->\", [\...
{"split": "train", "index": 14102}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Benjamin, Jacob, Oliver, Grace, Aiden, Scarlett, Daniel, Charlotte, and Michael. Benjamin asserted: \"Aiden is a laggard or ((Scarlett is a pio...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 769, \"statements\": [[\"or\", [\"lying\", 4], [\"<=>\", [\"not\", [\"lying\", 5]], [\"and\", [\"lying\", 3], [\"telling-truth\", 4]]]], [\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 8], [\"lying\", 0]], [\"or\", [\"telling...
{"split": "train", "index": 14103}
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, Jackson, Henry, Ava, Riley, Joseph, Charlotte, Abigail, and Luke. According to Aiden, \"Ava is an altruist\". Jackson said, \"it is not ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 770, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"and\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"lying\", 4]]]], [\"and\", [\"or\", [\"not\", [\"telling-truth\", 5]], [\"or\", [\"lying\", 7], [\...
{"split": "train", "index": 14104}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Elizabeth, Daniel, Victoria, Lucas, Mason, Matthew, Logan, Ava, and Luke. \"Matthew is a knave if and only if Logan is a knave,\" Elizabeth mentioned...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 771, \"statements\": [[\"<=>\", [\"lying\", 5], [\"lying\", 6]], [\"or\", [\"or\", [\"not\", [\"lying\", 6]], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"->\", [\"lying\", 3], [\"lying\", 8]]]], [\"and\", [\"lying\", 0], ...
{"split": "train", "index": 14105}
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: Elizabeth, Harper, Alexander, David, Emma, Emily, Abigail, Scarlett, and Ethan. Elizabeth told you that Harper is a hero. \"Ethan is a hero,\" Harper...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 772, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"lying\", 8]], [\"or\", [\"not\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"lying\", 0], [\"telling-truth\", 8]], [\"not\", [\"te...
{"split": "train", "index": 14106}
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, Logan, Amelia, Evelyn, Oliver, Aiden, Zoey, Grace, and Emma. According to Owen, \"Grace is a knave and ((if Evelyn is a knave then Aiden is a k...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 773, \"statements\": [[\"and\", [\"lying\", 7], [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 5]], [\"and\", [\"lying\", 3], [\"telling-truth\", 8]]]], [\"->\", [\"<=>\", [\"->\", [\"lying\", 0], [\"lying\", 8]], [\"or\", [\"...
{"split": "train", "index": 14107}
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: Jackson, Daniel, Amelia, Luke, Aurora, Sofia, Aiden, Lucas, and Alexander. Jackson told you that it is not the case that (if (Amelia is a fool) then (Lucas...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 774, \"statements\": [[\"not\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 7], [\"lying\", 2]]]], [\"<=>\", [\"lying\", 5], [\"and\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 0]], [\"->\", [\...
{"split": "train", "index": 14108}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Evelyn, Michael, Aiden, Lucas, Abigail, Ethan, William, Joseph, and Henry. In a statement by Evelyn: \"(it is not the case that (Evelyn is a saint an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 775, \"statements\": [[\"or\", [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"->\", [\"->\", [\"lying\", 2], [\"lying\", 8]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 6]]]], [\"or\", [\"telling-truth\", ...
{"split": "train", "index": 14109}
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, Aria, Daniel, Emily, Emma, Avery, Joseph, Jackson, and Oliver. In a statement by Benjamin: \"if Emma is an angel then ((Emily is an angel if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 776, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]], [\"->\", [\"telling-truth\", 7], [\"lying\", 6]]]], [\"telling-truth\", 0], [\"and\", [\"and\", [\"or\", [\"lyi...
{"split": "train", "index": 14110}
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: Michael, Luke, Aria, Alexander, Aiden, Victoria, Isabella, Henry, and Olivia. Michael was heard saying, \"if (if (Henry is an angel if and only if Alex...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 777, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 3]], [\"not\", [\"lying\", 6]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 2], [\"lying\", 7]]]], [\"not\", [\"->\", ...
{"split": "train", "index": 14111}
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, Olivia, Sofia, Elizabeth, Emily, Ava, Scarlett, Evelyn, and Logan. Benjamin expressed that it is not the case that ((Emily is a devil if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 778, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"lying\", 6]]], [\"not\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 8], [\"lying\", 5]]]], [\"telling-truth...
{"split": "train", "index": 14112}
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: Aurora, Mia, Scarlett, Joseph, Luke, Ava, Sebastian, Aria, and Emily. According to Aurora, \"if ((Sebastian is a sinner if and only if Scarlett is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 779, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 2]], [\"telling-truth\", 8]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [\"lying\", 1], [\"lying\", 4]]...
{"split": "train", "index": 14113}
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: Elizabeth, Liam, Jackson, Aiden, Sebastian, Sophia, Henry, Avery, and Joseph. Elizabeth told you that it is not the case that ((Elizabeth is a hero i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 780, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 8]], [\"not\", [\"lying\", 7]]]], [\"telling-truth\", 8], [\"->\", [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 5]], [\"or\", [\"...
{"split": "train", "index": 14114}
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: Mia, Elizabeth, Victoria, Matthew, William, Avery, Liam, David, and Grace. Mia expressed that it is not the case that ((Grace is a hero) or (Mia is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 781, \"statements\": [[\"not\", [\"or\", [\"not\", [\"lying\", 8]], [\"or\", [\"telling-truth\", 0], [\"lying\", 1]]]], [\"or\", [\"not\", [\"lying\", 7]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]], [\"not\",...
{"split": "train", "index": 14115}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: David, Lily, Henry, Abigail, Samuel, Ava, Liam, James, and Jacob. David told you that ((Liam is a knight if and only if Samuel is a knight) or (Samue...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 782, \"statements\": [[\"and\", [\"or\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"lying\", 6]]], [\"and\", [\"lying\", 6], [\"and\", [\"telling-truth\", 5], [\"lying\", 1]]]], [\"...
{"split": "train", "index": 14116}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Isabella, Michael, Oliver, Ava, Lily, Jackson, Aurora, Sofia, and Noah. \"(if (Sofia is a knight) then Jackson is a knave) and (if (Ava is a knave or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 783, \"statements\": [[\"and\", [\"->\", [\"not\", [\"lying\", 7]], [\"lying\", 5]], [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"lying\", 2], [\"lying\", 4]]]], [\"or\", [\"->\", [\"or\", [\"telling-...
{"split": "train", "index": 14117}
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, Henry, Aiden, Elizabeth, Olivia, Lucas, Charlotte, Oliver, and Evelyn. \"(if (Lucas is a villain if and only if Evelyn is a hero) then Evelyn i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 784, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 8]], [\"lying\", 8]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"not\", [\"lying\", 2]]]], [\"telling-truth\", 6...
{"split": "train", "index": 14118}
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: Jackson, Amelia, Mia, Sofia, Oliver, Lily, Penelope, Michael, and Ella. Jackson was heard saying, \"((if Penelope is a villain then Amelia is a villa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 785, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"lying\", 6], [\"lying\", 1]], [\"not\", [\"lying\", 3]]], [\"telling-truth\", 6]], [\"->\", [\"or\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 5]], [\"telling-t...
{"split": "train", "index": 14119}
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, Harper, Aurora, Olivia, Victoria, Daniel, Avery, Liam, and Joseph. \"Avery is an altruist,\" Amelia claimed. According to Harper, \"Dan...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 786, \"statements\": [[\"telling-truth\", 6], [\"and\", [\"telling-truth\", 5], [\"or\", [\"<=>\", [\"lying\", 8], [\"lying\", 0]], [\"->\", [\"lying\", 6], [\"lying\", 2]]]], [\"telling-truth\", 5], [\"<=>\", [\"->\", [\"lyin...
{"split": "train", "index": 14120}
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, Amelia, Ella, Ava, Liam, Daniel, Grace, Jackson, and Emma. Victoria commented, \"((Jackson is a hero or Ava is a hero) or Daniel is a villa...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 787, \"statements\": [[\"and\", [\"or\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 3]], [\"lying\", 5]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"and\", [\"lying\", 7], [\"telling-truth\...
{"split": "train", "index": 14121}
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, Benjamin, Ava, Henry, Aiden, Jack, Amelia, Abigail, and Alexander. Aurora said, \"Amelia is an angel or ((Benjamin is a devil) and Jack is an a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 788, \"statements\": [[\"or\", [\"telling-truth\", 6], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 5]]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 1]...
{"split": "train", "index": 14122}
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, Ella, Jack, Charlotte, Zoey, Oliver, Sophia, Ava, and Amelia. \"(if (Ava is a knave and Ava is a knight) then Ava is a knave) and (it is no...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 789, \"statements\": [[\"and\", [\"->\", [\"and\", [\"lying\", 7], [\"telling-truth\", 7]], [\"lying\", 7]], [\"not\", [\"<=>\", [\"lying\", 8], [\"lying\", 1]]]], [\"->\", [\"<=>\", [\"or\", [\"lying\", 5], [\"telling-truth\"...
{"split": "train", "index": 14123}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Alexander, James, Sophia, Logan, Michael, Jack, Isabella, Ava, and Sofia. Alexander noted, \"it is not the case that ((if Logan is an egoist th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 790, \"statements\": [[\"not\", [\"or\", [\"->\", [\"lying\", 3], [\"lying\", 6]], [\"and\", [\"telling-truth\", 5], [\"lying\", 8]]]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 7], [\"telling-t...
{"split": "train", "index": 14124}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Emma, Zoey, James, Amelia, Benjamin, Emily, Oliver, Luke, and Scarlett. Emma stated, \"it is not the case that ((Luke is a sage) and (if Scarlett is a sage...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 791, \"statements\": [[\"not\", [\"and\", [\"not\", [\"lying\", 7]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 7]]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"or\", [\"lying\", 6], [\"lying\", 0]]]], [\"telling...
{"split": "train", "index": 14125}
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: Noah, Zoey, Michael, Henry, Emily, Mason, Harper, David, and Matthew. Noah asserted: \"it is not the case that (Noah is a knight and (Emily is a knig...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 792, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 0], [\"and\", [\"telling-truth\", 4], [\"lying\", 1]]]], [\"or\", [\"not\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 8]]], [\"and\", [\"or\", [\"telling-truth\...
{"split": "train", "index": 14126}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Aiden, James, Samuel, Aria, Michael, Mia, Harper, Alexander, and Ella. In a statement by Aiden: \"(it is not the case that (Harper is a sinner if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 793, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"lying\", 6], [\"lying\", 8]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"->\", [\"lying\", 4], [\"lying\", 7]]]], [\"and\", [\"<=>\", [\"->\", [...
{"split": "train", "index": 14127}
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: Jackson, Ella, Michael, Riley, Matthew, Ethan, Sofia, Abigail, and Harper. Jackson asserted: \"((Michael is a fool if and only if Ella is a sage) and (Ella...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 794, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 6]], [\"and\", [\"telling-truth\", 1], [\...
{"split": "train", "index": 14128}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Emily, Mia, Charlotte, William, Sophia, Liam, Victoria, Olivia, and Harper. Emily said, \"((Charlotte is a knave and Olivia is a knave) if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 795, \"statements\": [[\"<=>\", [\"<=>\", [\"and\", [\"lying\", 2], [\"lying\", 7]], [\"and\", [\"telling-truth\", 3], [\"lying\", 7]]], [\"telling-truth\", 4]], [\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\",...
{"split": "train", "index": 14129}
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: Aria, Riley, Liam, Sofia, Daniel, Amelia, Luke, Sophia, and Isabella. \"Sofia is an egoist\" - Aria. Riley said, \"((if Daniel is an egoist the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 796, \"statements\": [[\"lying\", 3], [\"or\", [\"<=>\", [\"->\", [\"lying\", 4], [\"lying\", 6]], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 7]], [\"->\",...
{"split": "train", "index": 14130}
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, Scarlett, Grace, Aiden, Jacob, Mia, Logan, Olivia, and William. \"it is not the case that (Grace is an angel and (Aiden is an angel and Scarl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 797, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 3], [\"lying\", 1]]]], [\"<=>\", [\"lying\", 7], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"telling...
{"split": "train", "index": 14131}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Luke, David, Penelope, Elizabeth, Aiden, Olivia, Harper, William, and Logan. Luke told you that if (if Elizabeth is a laggard then (Aiden is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 798, \"statements\": [[\"->\", [\"->\", [\"lying\", 3], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 7]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 7]]], [\"->\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"te...
{"split": "train", "index": 14132}
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, Sofia, Isabella, Henry, Ava, Sebastian, Oliver, Chloe, and Harper. Olivia expressed that Isabella is a sage. Sofia told you that it is not the case...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 799, \"statements\": [[\"telling-truth\", 2], [\"not\", [\"<=>\", [\"or\", [\"lying\", 5], [\"telling-truth\", 2]], [\"not\", [\"lying\", 5]]]], [\"<=>\", [\"not\", [\"->\", [\"lying\", 8], [\"telling-truth\", 0]]], [\"->\", [...
{"split": "train", "index": 14133}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Noah, Zoey, Oliver, Grace, Ella, Sophia, David, Benjamin, and Samuel. According to Noah, \"if (Benjamin is a sinner if and only if (Zoey is a sinner ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 800, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 7], [\"or\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"lying\", 1]], [\"not\", [\"telling-truth\", 8]]]], [\"or\", [\"or\", [\"and\", [\"telling-truth\...
{"split": "train", "index": 14134}
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, Mia, Jackson, Isabella, Samuel, Matthew, Daniel, Jacob, and Logan. \"(Samuel is a knight and (Jacob is a knave and Jackson is a knave)) and ((...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 801, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 4], [\"and\", [\"lying\", 7], [\"lying\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]...
{"split": "train", "index": 14135}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Alexander, Charlotte, Riley, Mia, Ella, Olivia, Lily, Evelyn, and Emily. \"if ((Mia is an egoist) or Riley is an altruist) then ((Evelyn is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 802, \"statements\": [[\"->\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"telling-truth\", 2]], [\"and\", [\"and\", [\"lying\", 7], [\"lying\", 5]], [\"<=>\", [\"lying\", 5], [\"lying\", 2]]]], [\"not\", [\"and\", [\"not\"...
{"split": "train", "index": 14136}
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, Evelyn, Avery, Grace, Matthew, Scarlett, Ella, Lily, and Charlotte. Victoria asserted: \"((Scarlett is a hero) or (if Matthew is a villain ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 803, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"lying\", 5]], [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"->\", [\"->\", [\"lying\", 8], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 5]]...
{"split": "train", "index": 14137}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Jacob, Benjamin, Luke, Alexander, Scarlett, Daniel, Harper, Isabella, and Jackson. As Jacob put it, \"it is not the case that ((if Alexander is a kni...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 804, \"statements\": [[\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 6]], [\"lying\", 6]]], [\"and\", [\"telling-truth\", 7], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 1], [\"t...
{"split": "train", "index": 14138}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Victoria, Grace, Zoey, Abigail, Elizabeth, Evelyn, Aiden, Aurora, and Jack. Victoria stated, \"Jack is an egoist if and only if (if (Grace is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 805, \"statements\": [[\"<=>\", [\"lying\", 8], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 7]], [\"->\", [\"lying\", 1], [\"telling-truth\", 3]]]], [\"or\", [\"and\", [\"->\", [\"telling-truth\", 5], [\"lying\", 0]...
{"split": "train", "index": 14139}
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, William, Scarlett, Luke, Daniel, David, Sofia, Isabella, and Evelyn. Aurora asserted: \"if (if (Evelyn is an egoist and Sofia is an ego...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 806, \"statements\": [[\"->\", [\"->\", [\"and\", [\"lying\", 8], [\"lying\", 6]], [\"->\", [\"lying\", 5], [\"telling-truth\", 6]]], [\"lying\", 1]], [\"and\", [\"lying\", 8], [\"not\", [\"<=>\", [\"lying\", 5], [\"lying\", 2...
{"split": "train", "index": 14140}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Victoria, Alexander, Zoey, Benjamin, Noah, Riley, Aurora, Joseph, and Mason. \"Noah is an egoist,\" Victoria mentioned. \"Mason is an egoist an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 807, \"statements\": [[\"lying\", 4], [\"and\", [\"lying\", 8], [\"not\", [\"and\", [\"lying\", 6], [\"telling-truth\", 0]]]], [\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 5], [\"lying\", 0]], [\"or\", [\"lying\", 6], [\"t...
{"split": "train", "index": 14141}
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: James, Alexander, Olivia, Jack, Michael, Henry, Emma, Mason, and Daniel. \"((James is an angel or Olivia is an angel) or (Jack is a devil)) or ((if Mic...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 808, \"statements\": [[\"or\", [\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"tell...
{"split": "train", "index": 14142}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Logan, Jacob, Alexander, Victoria, Lily, Sofia, Samuel, Aurora, and Henry. In Logan's words: \"if (it is not the case that (if Aurora is an angel then ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 809, \"statements\": [[\"->\", [\"not\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 1]]]], [\"<=>\", [\"or\", [\"not\", [\"lying\", 2]], [\"telling-truth\...
{"split": "train", "index": 14143}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Charlotte, Sofia, Aria, Evelyn, Jacob, Ella, Mason, Samuel, and Logan. As Charlotte put it, \"it is not the case that ((Ella is a devil or Jacob is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 810, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"lying\", 5], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 6]]]], [\"->\", [\"not\", [\"or\", [\"lying\", 5], [\"telling-truth\", 6]]], [\"<...
{"split": "train", "index": 14144}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Benjamin, Elizabeth, Ella, Liam, Noah, Emily, Alexander, Logan, and Samuel. Benjamin told you that it is not the case that ((if Alexander is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 811, \"statements\": [[\"not\", [\"or\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 6], [\"lying\", 1]]]], [\"->\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"not...
{"split": "train", "index": 14145}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Harper, Victoria, Ethan, Riley, Oliver, Aria, Aiden, Henry, and Jacob. Harper said, \"it is not the case that ((Aria is a sage if and only if Jacob is a fo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 812, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 8]], [\"not\", [\"telling-truth\", 5]]]], [\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"telling-truth\"...
{"split": "train", "index": 14146}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Isabella, Olivia, Matthew, Chloe, Ava, Harper, Jackson, William, and Aria. \"(it is not the case that (Ava is a laggard or Chloe is a pioneer))...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 813, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"lying\", 5], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 7]]]], [\"or\", [\"and\", [\...
{"split": "train", "index": 14147}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Lily, Mia, Jacob, Sofia, Zoey, Liam, Chloe, Samuel, and Isabella. Lily expressed that it is not the case that ((Liam is a knave or Zoey is a knight) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 814, \"statements\": [[\"not\", [\"and\", [\"or\", [\"lying\", 5], [\"telling-truth\", 4]], [\"->\", [\"lying\", 5], [\"telling-truth\", 1]]]], [\"or\", [\"telling-truth\", 2], [\"and\", [\"<=>\", [\"lying\", 6], [\"telling-tr...
{"split": "train", "index": 14148}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Noah, Sofia, Aurora, Logan, Scarlett, Ethan, Isabella, Avery, and Michael. In Noah's words: \"Avery is a sinner or ((Ethan is a saint or Aurora is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 815, \"statements\": [[\"or\", [\"lying\", 7], [\"and\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 2]], [\"or\", [\"lying\", 5], [\"telling-truth\", 2]]]], [\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lyin...
{"split": "train", "index": 14149}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Isabella, Luke, Lily, Jackson, Noah, Harper, William, Zoey, and Emma. In a statement by Isabella: \"it is not the case that (if (Isabella is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 816, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 1]]]], [\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\",...
{"split": "train", "index": 14150}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Joseph, Sofia, Aurora, Ethan, Lily, Oliver, David, Avery, and Zoey. Joseph expressed that if David is a sage then ((Ethan is a fool if and only if Avery is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 817, \"statements\": [[\"->\", [\"telling-truth\", 6], [\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 7]], [\"<=>\", [\"lying\", 1], [\"lying\", 4]]]], [\"telling-truth\", 0], [\"->\", [\"not\", [\"not\", [\"telling-truth\", ...
{"split": "train", "index": 14151}
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, Ethan, Michael, Lily, Samuel, Ava, Mason, Grace, and Matthew. According to Scarlett, \"if (if (Grace is a devil or Michael is a devil) then (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 818, \"statements\": [[\"->\", [\"->\", [\"or\", [\"lying\", 7], [\"lying\", 2]], [\"->\", [\"telling-truth\", 5], [\"lying\", 1]]], [\"and\", [\"not\", [\"lying\", 5]], [\"lying\", 2]]], [\"or\", [\"and\", [\"and\", [\"lying\...
{"split": "train", "index": 14152}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Harper, Scarlett, Charlotte, Victoria, Logan, Jack, Ethan, Joseph, and Amelia. Harper expressed that (it is not the case that (if Amelia is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 819, \"statements\": [[\"or\", [\"not\", [\"->\", [\"telling-truth\", 8], [\"lying\", 1]]], [\"telling-truth\", 1]], [\"not\", [\"not\", [\"lying\", 3]]], [\"->\", [\"->\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telli...
{"split": "train", "index": 14153}
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: Emily, William, Jackson, Grace, Luke, Jacob, Evelyn, Aurora, and Oliver. Emily told you that it is not the case that (if (William is a sage and Evelyn is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 820, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 3], [\"lying\", 2]]]], [\"or\", [\"or\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 2]...
{"split": "train", "index": 14154}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Zoey, Ethan, Daniel, Aurora, Noah, Abigail, Evelyn, Lily, and Emma. \"Lily is a knave or (if (Ethan is a knave) then (if Lily is a knight then Aurora...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 821, \"statements\": [[\"or\", [\"lying\", 7], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 3]]]], [\"not\", [\"lying\", 6]], [\"lying\", 4], [\"not\", [\"->\", [\"not\", [\"...
{"split": "train", "index": 14155}
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: Luke, Aurora, Henry, Charlotte, Emily, Emma, Alexander, Jack, and Owen. Luke was heard saying, \"if ((Owen is a fool) and (Emma is a sage and Alexander is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 822, \"statements\": [[\"->\", [\"and\", [\"not\", [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 5], [\"lying\", 6]]], [\"not\", [\"not\", [\"lying\", 5]]]], [\"or\", [\"lying\", 3], [\"and\", [\"<=>\", [\"telling-tru...
{"split": "train", "index": 14156}
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, Liam, Avery, Sophia, Amelia, Owen, Mia, Isabella, and Evelyn. Zoey told you that (it is not the case that (Owen is an angel if and only if Avery ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 823, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 2]]], [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 6], [\"lying\", 3]]]], [\"lying\", 6], [\"or\...
{"split": "train", "index": 14157}
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, Zoey, Elizabeth, Luke, Isabella, Aiden, Amelia, Harper, and David. Chloe remarked, \"Harper is an egoist\". In a statement by Zoey: \"(i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 824, \"statements\": [[\"lying\", 7], [\"or\", [\"not\", [\"and\", [\"lying\", 8], [\"telling-truth\", 6]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"->\", [\"lying\", 0], [\"telling-truth\", 7]]]]...
{"split": "train", "index": 14158}
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: Mia, Harper, Scarlett, William, Emma, Oliver, Chloe, Sofia, and Luke. Mia noted, \"if (Harper is a villain and (if Emma is a villain then Harper is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 825, \"statements\": [[\"->\", [\"and\", [\"lying\", 1], [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 7]]]], [\"not...
{"split": "train", "index": 14159}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Emily, Ethan, Daniel, Jack, Sofia, Evelyn, Grace, Samuel, and Owen. Emily told you that if ((Daniel is a knight or Emily is a knight) and (Jack is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 826, \"statements\": [[\"->\", [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 7]]], [\"->\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3]], [\"or\",...
{"split": "train", "index": 14160}
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, Jack, Jackson, Scarlett, Aria, Riley, Joseph, Ava, and Sebastian. \"if ((if Riley is a pioneer then Riley is a laggard) and (Riley is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 827, \"statements\": [[\"->\", [\"and\", [\"->\", [\"telling-truth\", 5], [\"lying\", 5]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 2]]], [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"and\", [\"lying\", ...
{"split": "train", "index": 14161}
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, Victoria, Aurora, Logan, Samuel, Grace, Daniel, Alexander, and Ethan. \"((Daniel is an angel or Aurora is a devil) or (Samuel is a devil or Victo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 828, \"statements\": [[\"and\", [\"or\", [\"or\", [\"telling-truth\", 6], [\"lying\", 2]], [\"or\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"lying\", 2]]]], [\"->\", [\"and\", [\"and\", [\"lying\", 0], ...
{"split": "train", "index": 14162}
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, Oliver, Aurora, Lily, Matthew, Jackson, Michael, Charlotte, and Penelope. In Riley's words: \"(if (Charlotte is a hero or Jackson is a villain...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 829, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 7], [\"lying\", 5]], [\"or\", [\"lying\", 1], [\"lying\", 8]]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"telling-tr...
{"split": "train", "index": 14163}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Aiden, Benjamin, William, Penelope, Amelia, Liam, Charlotte, Emma, and Luke. As Aiden put it, \"Luke is an angel\". Benjamin said that Liam is a devil ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 830, \"statements\": [[\"telling-truth\", 8], [\"<=>\", [\"lying\", 5], [\"and\", [\"not\", [\"lying\", 6]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 7]]]], [\"lying\", 3], [\"not\", [\"telling-truth\", 6]], [\"telling-tr...
{"split": "train", "index": 14164}
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, Logan, Zoey, Aurora, Benjamin, Luke, Grace, Jack, and Sophia. Daniel remarked, \"Jack is a sinner\". In a statement by Logan: \"Aurora is a s...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 831, \"statements\": [[\"lying\", 7], [\"lying\", 3], [\"telling-truth\", 5], [\"telling-truth\", 8], [\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 6], [\"lying\", 8]]], [\"not\", [\"not\", [\"lying\", 7]]]], [\"and\", [\"...
{"split": "train", "index": 14165}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Ava, Emma, Sofia, Aiden, Isabella, Victoria, Jack, Zoey, and Aurora. \"(it is not the case that (Isabella is a villain)) and ((Sofia is a hero if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 832, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]]]], [\"telling-truth\", 6], [\"...
{"split": "train", "index": 14166}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Grace, Sofia, Liam, Henry, David, Ethan, Ella, Aurora, and Noah. \"(Sofia is an angel) or ((if Henry is a devil then Liam is a devil) and (Aurora is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 833, \"statements\": [[\"or\", [\"not\", [\"lying\", 1]], [\"and\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 1]]]], [\"->\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"...
{"split": "train", "index": 14167}
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: Owen, Aiden, Lily, Chloe, Mason, Daniel, Alexander, Jack, and Lucas. Owen asserted: \"(it is not the case that (Lily is a fool and Alexander is a fool)) an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 834, \"statements\": [[\"and\", [\"not\", [\"and\", [\"lying\", 2], [\"lying\", 6]]], [\"not\", [\"telling-truth\", 1]]], [\"lying\", 3], [\"->\", [\"->\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"or\", [\...
{"split": "train", "index": 14168}
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, Mason, Michael, Jack, Aurora, Riley, Chloe, Abigail, and Luke. Olivia was heard saying, \"Olivia is a sage\". Mason said that if Abigail is a sage ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 835, \"statements\": [[\"telling-truth\", 0], [\"->\", [\"telling-truth\", 7], [\"and\", [\"or\", [\"telling-truth\", 6], [\"lying\", 8]], [\"telling-truth\", 4]]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"...
{"split": "train", "index": 14169}
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, David, Emma, Victoria, Sophia, Sebastian, Aurora, Harper, and Luke. Michael stated, \"Luke is a pioneer or ((Victoria is a laggard if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 836, \"statements\": [[\"or\", [\"telling-truth\", 8], [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"lying\", 3], [\"telling-truth\", 4]]]], [\"and\", [\"->\", [\"->\", [\"telling-truth\", 7], [\"tell...
{"split": "train", "index": 14170}
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: James, Ethan, Joseph, Owen, Benjamin, Chloe, Avery, Matthew, and Sofia. \"(if (Benjamin is an angel or Owen is an angel) then Joseph is a devil) if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 837, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"lying\", 2]], [\"or\", [\"not\", [\"telling-truth\", 7]], [\"not\", [\"lying\", 2]]]], [\"not\", [\"or\", [\"<=>\", [\"lying...
{"split": "train", "index": 14171}
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: Noah, Logan, Aiden, Daniel, Emma, Henry, Liam, Oliver, and Ethan. Noah stated, \"Oliver is an altruist\". Logan commented, \"Daniel is an altru...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 838, \"statements\": [[\"telling-truth\", 7], [\"<=>\", [\"telling-truth\", 3], [\"or\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 7], [\"lying\", 4]]]], [\"->\", [\"not\", [\"->\", [\"telling-truth\", 6], [\"lying\", 4...
{"split": "train", "index": 14172}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Emma, Olivia, Charlotte, Oliver, Jackson, Liam, Lucas, Ava, and Benjamin. In Emma's words: \"(if (if Benjamin is a hero then Charlotte is a hero) the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 839, \"statements\": [[\"or\", [\"->\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"lying\", 3]], [\"and\", [\"or\", [\"->\", [\"telling-truth\", 6],...
{"split": "train", "index": 14173}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Lily, Jack, Henry, Sebastian, Mason, Oliver, Zoey, Ella, and Noah. Lily commented, \"(Zoey is a saint if and only if (Ella is a saint and Mason is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 840, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 6], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 0], [\"telli...
{"split": "train", "index": 14174}
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, Jacob, Alexander, Abigail, Isabella, Avery, Sofia, Michael, and Henry. Mason was heard saying, \"((if Sofia is a devil then Henry is a devil) or...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 841, \"statements\": [[\"or\", [\"or\", [\"->\", [\"lying\", 6], [\"lying\", 8]], [\"->\", [\"telling-truth\", 8], [\"lying\", 7]]], [\"not\", [\"not\", [\"lying\", 8]]]], [\"->\", [\"and\", [\"not\", [\"lying\", 2]], [\"or\",...
{"split": "train", "index": 14175}
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, Victoria, Sofia, Olivia, Mia, Matthew, Benjamin, Noah, and Jack. Scarlett stated, \"it is not the case that (if (Mia is a hero or Victoria ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 842, \"statements\": [[\"not\", [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1]], [\"not\", [\"lying\", 8]]]], [\"not\", [\"->\", [\"or\", [\"telling-truth\", 8], [\"lying\", 7]], [\"not\", [\"telling-truth\", 2]]]], ...
{"split": "train", "index": 14176}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Ava, Luke, Abigail, Aiden, Amelia, Victoria, Isabella, Liam, and Riley. In Ava's words: \"if Liam is a saint then ((Liam is a saint and Aiden is a si...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 843, \"statements\": [[\"->\", [\"telling-truth\", 7], [\"and\", [\"and\", [\"telling-truth\", 7], [\"lying\", 3]], [\"->\", [\"lying\", 6], [\"lying\", 4]]]], [\"lying\", 4], [\"->\", [\"->\", [\"or\", [\"telling-truth\", 3],...
{"split": "train", "index": 14177}
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: Liam, Ella, Jackson, Victoria, Luke, Abigail, Alexander, Samuel, and Sophia. Liam said that Sophia is an altruist and (if (Jackson is an egoist...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 844, \"statements\": [[\"and\", [\"telling-truth\", 8], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 6]]]], [\"and\", [\"telling-truth\", 0], [\"and\", [\"not\", [\"telling-...
{"split": "train", "index": 14178}
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, Isabella, Charlotte, Alexander, Jacob, Elizabeth, Harper, Aiden, and Abigail. In James's words: \"Elizabeth is a sinner\". Isabella asserted: ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 845, \"statements\": [[\"lying\", 5], [\"or\", [\"and\", [\"and\", [\"lying\", 7], [\"lying\", 8]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"lying\", 3]], [\"<=>\", [\"<=>\", [\"or\", [\"lying\", 8], [\"telling-t...
{"split": "train", "index": 14179}
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, Aurora, Owen, Riley, Daniel, Penelope, Chloe, Logan, and Harper. Elizabeth told you that if (if (Daniel is a fool) then (if Chloe is a sage then...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 846, \"statements\": [[\"->\", [\"->\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"telling-truth\", 7]], [\"->\", [\"lying\", 8], [\"lying\", 7]]]], [\"...
{"split": "train", "index": 14180}
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, Ella, Owen, Penelope, Logan, Alexander, Emily, Evelyn, and Sofia. Jacob was heard saying, \"if ((Sofia is a hero) or (Sofia is a hero or Penel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 847, \"statements\": [[\"->\", [\"or\", [\"not\", [\"lying\", 8]], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"and\", [\"lying\", 6], [\"lying\", 1...
{"split": "train", "index": 14181}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: David, Joseph, Sofia, Evelyn, Jackson, Oliver, Henry, William, and Abigail. David expressed that if (Jackson is a laggard and (if Joseph is a p...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 848, \"statements\": [[\"->\", [\"and\", [\"lying\", 4], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 6]]], [\"or\", [\"and\", [\"telling-truth\", 6], [\"lying\", 1]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\...
{"split": "train", "index": 14182}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Logan, Benjamin, Zoey, Abigail, Amelia, Elizabeth, Sofia, Daniel, and Liam. Logan told you that (if (Zoey is a knave or Elizabeth is a knight) then (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 849, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 5]], [\"or\", [\"lying\", 8], [\"lying\", 4]]], [\"and\", [\"->\", [\"lying\", 1], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 6], [\"tel...
{"split": "train", "index": 14183}
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: Joseph, Amelia, Aria, William, Lucas, Grace, Riley, Matthew, and Noah. Joseph said, \"Aria is a hero.\" Amelia said, \"if ((Joseph is a villain) and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 850, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"and\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying\", 6], [\"lying\", 0]]], [\"->\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", ...
{"split": "train", "index": 14184}
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, James, Joseph, Liam, Chloe, Oliver, Grace, Henry, and Jackson. \"if ((Chloe is a fool and Oliver is a sage) and Aiden is a sage) then James is a sag...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 851, \"statements\": [[\"->\", [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 5]], [\"telling-truth\", 0]], [\"telling-truth\", 1]], [\"telling-truth\", 7], [\"or\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\...
{"split": "train", "index": 14185}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Riley, Evelyn, Sofia, Joseph, Grace, Chloe, Victoria, David, and Charlotte. Riley remarked, \"((Chloe is a sinner or Chloe is a saint) or (Victoria i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 852, \"statements\": [[\"or\", [\"or\", [\"or\", [\"lying\", 5], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 4]]], [\"->\", [\"not\", [\"lying\", 5]], [\"lying\", 4]]], [\"not\", [\"or\", [\"or\", [\...
{"split": "train", "index": 14186}
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, Elizabeth, Mason, Scarlett, Owen, Abigail, Oliver, Daniel, and Aria. Sophia expressed that Daniel is a sinner. \"Abigail is a sinner\" - Eliz...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 853, \"statements\": [[\"lying\", 7], [\"lying\", 5], [\"->\", [\"telling-truth\", 2], [\"not\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 7]]]], [\"->\", [\"not\", [\"->\", [\"lying\", 1], [\"lying\", 2]]], [\"->\"...
{"split": "train", "index": 14187}
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: Alexander, Benjamin, Owen, Riley, Aria, Matthew, Evelyn, Zoey, and Mia. Alexander expressed that (if (if Evelyn is a sinner then Aria is a saint) the...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 854, \"statements\": [[\"and\", [\"->\", [\"->\", [\"lying\", 6], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 8]]], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 4], [\"<=>\", [\"<=>\", [\"ly...
{"split": "train", "index": 14188}
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: Matthew, Mason, Amelia, Penelope, Riley, Ava, Evelyn, Aria, and Benjamin. Matthew noted, \"Aria is an egoist\". Mason said, \"it is not the cas...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 855, \"statements\": [[\"lying\", 7], [\"not\", [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 3]]]], [\"or\", [\"and\", [\"or\", [\"lying\", 6], [\"lying\", 8]], [\"->\", [\"telling-truth\", 8], [\...
{"split": "train", "index": 14189}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Lucas, Daniel, Oliver, Emma, Noah, James, Aria, Emily, and Harper. Lucas commented, \"James is a pioneer\". Daniel was heard saying, \"(it is n...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 856, \"statements\": [[\"telling-truth\", 5], [\"or\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"or\", [\"telling-truth\", 7], [\"and\", [\"lying\", 8], [\"lying\", 0]]]], [\"<=>\", [\"not\", [\"->\", [\...
{"split": "train", "index": 14190}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Zoey, Charlotte, Elizabeth, Isabella, Ava, Sebastian, Henry, Sophia, and Benjamin. Zoey asserted: \"(Benjamin is a knight) or (if (Sophia is a knight...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 857, \"statements\": [[\"or\", [\"not\", [\"lying\", 8]], [\"->\", [\"and\", [\"telling-truth\", 7], [\"lying\", 7]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 7]]]], [\"and\", [\"and\", [\"->\", [\"telling-truth\"...
{"split": "train", "index": 14191}
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, Scarlett, Liam, Oliver, Aria, Henry, Lucas, Samuel, and Matthew. As James put it, \"((Aria is an egoist if and only if Oliver is an egoi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 858, \"statements\": [[\"or\", [\"and\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"or\", [\"lying\", 8], [\"telling-truth\", 8]]], [\"->\", [\"not\", [\"telling-truth\", 5]], [\"->\", [\"lying\", 6], [\"telling-truth\", 4]...
{"split": "train", "index": 14192}
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, Zoey, James, Luke, Ethan, Noah, Henry, Owen, and William. Aria commented, \"it is not the case that (Aria is a pioneer or (Luke is a pion...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 859, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 8]]]], [\"<=>\", [\"telling-truth\", 5], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 6]]...
{"split": "train", "index": 14193}
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: Oliver, Avery, David, Penelope, Riley, Noah, Joseph, Ella, and Isabella. As Oliver put it, \"it is not the case that ((David is a pioneer or Pe...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 860, \"statements\": [[\"not\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 7]]]], [\"and\", [\"telling-truth\", 0], [\"->\", [\"->\", [\"telling-truth\", 1]...
{"split": "train", "index": 14194}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Zoey, David, Olivia, Emily, Lily, Chloe, Charlotte, Mia, and Penelope. Zoey noted, \"it is not the case that (if (Charlotte is a saint and David is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 861, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1]]]], [\"<=>\", [\"and\", [\"and\", [\"telling-truth\", 5], [\"lying\", 8]], [\"->\", [\"lying\...
{"split": "train", "index": 14195}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Aria, Evelyn, Michael, Aurora, Chloe, Isabella, Elizabeth, David, and Ella. According to Aria, \"David is a devil\". Evelyn said that it is not the cas...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 862, \"statements\": [[\"lying\", 7], [\"not\", [\"<=>\", [\"and\", [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 1]]]], [\"not\", [\"->\", [\"->\", [\"lying\", 5], [\"lying\", 7]], [\"t...
{"split": "train", "index": 14196}
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, Scarlett, Lily, Aurora, Alexander, Ella, Liam, Elizabeth, and Avery. \"(if (Ella is a hero and Aurora is a villain) then (Ella is a hero if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 863, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"telling-truth\", 5], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 7]]], [\"->\", [\"not\", [\"lying\", 8]], [\"->\", [\"telling-truth\", 2], [\"te...
{"split": "train", "index": 14197}
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, Victoria, Noah, Isabella, Emma, Jackson, Daniel, James, and Ethan. \"it is not the case that (it is not the case that (Jackson is a sinner)),\...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 864, \"statements\": [[\"not\", [\"not\", [\"not\", [\"telling-truth\", 5]]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 8]], [\"or\", [\"or\", [\"lying\", 0], [\"lying\", 4]], [\"->\", [\"telling-truth\", 0], [\...
{"split": "train", "index": 14198}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Harper, Mason, Chloe, Matthew, James, Lily, Jackson, Aria, and Ava. Harper said that Ava is an egoist. \"Aria is an egoist,\" Mason mentioned. ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 865, \"statements\": [[\"lying\", 8], [\"lying\", 7], [\"not\", [\"lying\", 7]], [\"lying\", 1], [\"->\", [\"or\", [\"not\", [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 0]]], [\"or\", [\"lyin...
{"split": "train", "index": 14199}