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 pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Luke, Daniel, Avery, James, Noah, Mason, Mia, Matthew, and Lily. Luke stated, \"Lily is a laggard and (Daniel is a pioneer)\". Daniel said that... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1132, \"statements\": [[\"and\", [\"lying\", 8], [\"not\", [\"lying\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 7]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 6]]], [\"lying\", 0], [\... | {"split": "train", "index": 7800} |
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, Avery, William, James, Luke, Noah, Harper, Amelia, and Jacob. Mia asserted: \"if (Harper is a hero or Jacob is a hero) then (if Harper is a vill... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1133, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 8]], [\"->\", [\"lying\", 6], [\"telling-truth\", 1]]], [\"lying\", 2], [\"telling-truth\", 8], [\"<=>\", [\"or\", [\"telling-truth\", 7], [\... | {"split": "train", "index": 7801} |
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, Daniel, Ella, Oliver, Emily, Aiden, Henry, Mason, and Ethan. Liam said that it is not the case that (Aiden is an altruist and Henry is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1134, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 6]]], [\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 5]], [\"... | {"split": "train", "index": 7802} |
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, Abigail, Chloe, Sophia, Evelyn, Riley, Daniel, David, and Emily. Lily asserted: \"if (Daniel is a fool if and only if Sophia is a fool) then (Evelyn ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1135, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 6], [\"lying\", 3]], [\"or\", [\"lying\", 4], [\"lying\", 1]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"telling-truth\", 7]], [\"->\", [\"an... | {"split": "train", "index": 7803} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Ella, David, Ethan, Aria, Joseph, Jack, Evelyn, Henry, and Chloe. Ella commented, \"(Aria is a devil) or (if Henry is an angel then Aria is an angel)\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1136, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 3]]], [\"telling-truth\", 4], [\"->\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 2], [\"lying\... | {"split": "train", "index": 7804} |
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, William, Ava, Riley, Noah, Logan, Alexander, Liam, and Grace. Isabella noted, \"Alexander is a knave\". In William's words: \"(Alexander is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1137, \"statements\": [[\"lying\", 6], [\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 5], [\"lying\", 6]]], [\"and\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 5]]... | {"split": "train", "index": 7805} |
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, Chloe, Harper, Mia, Victoria, Emma, Aria, David, and Emily. \"if (David is a sinner if and only if Emma is a saint) then (Emily is a saint if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1138, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 6]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"and\", [\"->\", [\"... | {"split": "train", "index": 7806} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Penelope, Oliver, Elizabeth, Aria, Aiden, Victoria, Grace, Sophia, and Abigail. In a statement by Penelope: \"(if Victoria is a knave then Aiden is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1139, \"statements\": [[\"and\", [\"->\", [\"lying\", 5], [\"lying\", 4]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"not\", [\"lying\", 0]]], [\"... | {"split": "train", "index": 7807} |
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, Charlotte, Amelia, Penelope, Victoria, Elizabeth, Zoey, Jackson, and Evelyn. \"(if Penelope is an egoist then Charlotte is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1140, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"telling-truth... | {"split": "train", "index": 7808} |
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, Jackson, Mason, Ava, Ella, Elizabeth, Noah, Olivia, and Aurora. Jacob told you that it is not the case that (Aurora is a sinner if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1141, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 0]], [\"<=>\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 8]], [\"... | {"split": "train", "index": 7809} |
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: James, Scarlett, Jackson, Aurora, Noah, David, Sophia, Daniel, and Sofia. James said that it is not the case that (Aurora is a villain). \"(Aurora is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1142, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"<=>\", [\"lying\", 1], [\"or\", [\"lying\", 4], [... | {"split": "train", "index": 7810} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Evelyn, Ava, Mason, Jackson, Riley, Michael, Jacob, Samuel, and Avery. Evelyn noted, \"(Jacob is a pioneer or Ava is a laggard) if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1143, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 6], [\"lying\", 1]], [\"lying\", 8]], [\"not\", [\"and\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 5... | {"split": "train", "index": 7811} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Jack, Zoey, Ella, Mia, Michael, Ethan, Victoria, Abigail, and Daniel. Jack commented, \"(Mia is a knave if and only if Ella is a knave) and (Abigail ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1144, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"and\", [\"telling-truth\", 7], [\"lying\", 5]]], [\"not\", [\"and\", [\"lying\", 8], [\"telling-truth\", 7]]], [\"->\", [\"<=>\", [\"telling-truth\... | {"split": "train", "index": 7812} |
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: Aurora, Daniel, Samuel, Luke, Liam, Elizabeth, Grace, Lily, and Owen. Aurora said, \"it is not the case that (if Liam is a laggard then Samuel ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1145, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 7], [\"lying\", 5]], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 6]]], [\"and\", [\"not\", [\"l... | {"split": "train", "index": 7813} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Evelyn, Isabella, Abigail, Liam, Lucas, David, Scarlett, Harper, and Sebastian. Evelyn told you that if (David is a fool and Harper is a sage) then (Scarle... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1146, \"statements\": [[\"->\", [\"and\", [\"lying\", 5], [\"telling-truth\", 7]], [\"and\", [\"lying\", 6], [\"telling-truth\", 8]]], [\"or\", [\"->\", [\"lying\", 0], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"tel... | {"split": "train", "index": 7814} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Logan, William, Scarlett, Noah, Sophia, Abigail, Alexander, Penelope, and Daniel. Logan was heard saying, \"(Alexander is a saint if and only if Alex... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1147, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 6]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"lying\", 5]]], [\"not\", [\"->\", [\"telling-truth\", 8], [... | {"split": "train", "index": 7815} |
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, Mia, Lily, Emily, Samuel, Harper, James, Avery, and Oliver. \"if (if Oliver is a knight then Emily is a knave) then (Emily is a knight or Samue... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1148, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 8], [\"lying\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"or\", [\"lying\", 7], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 5]]], [\"not\", [\"and... | {"split": "train", "index": 7816} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Elizabeth, Oliver, Lily, Logan, Jackson, Evelyn, Jacob, Scarlett, and Sofia. Elizabeth said that Oliver is an angel or (Logan is an angel or Lily is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1149, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\"... | {"split": "train", "index": 7817} |
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, Emma, Matthew, Owen, Lucas, Noah, David, Lily, and Riley. \"(Owen is a sinner) or (Emma is a sinner),\" Scarlett claimed. In a statement by... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1150, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 4]], [\"and\", [\"telling-truth\", 6], [\"lying\", 2]]], [\"lying\"... | {"split": "train", "index": 7818} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Liam, Owen, Oliver, Ella, Daniel, Lucas, Chloe, Ethan, and Jack. Liam told you that Jack is a knave if and only if (Lucas is a knight and Owen is a k... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1151, \"statements\": [[\"<=>\", [\"lying\", 8], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 1]]], [\"not\", [\"telling-truth\", 5]], [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 7], [\"and\", [\"lying\", 8]... | {"split": "train", "index": 7819} |
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, Jackson, Elizabeth, Abigail, Matthew, Charlotte, Luke, Oliver, and Aria. \"(Aria is a knave and Luke is a knave) and (if Elizabeth is a knight... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1152, \"statements\": [[\"and\", [\"and\", [\"lying\", 8], [\"lying\", 6]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 7]]], [\"telling-truth\", 8], [\"<=>\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 6]],... | {"split": "train", "index": 7820} |
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, Scarlett, Aria, Lucas, David, Emma, Benjamin, Ava, and Charlotte. \"(if Aria is a villain then Lucas is a hero) or (Aria is a hero or David is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1153, \"statements\": [[\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 5]]], [\"and\", [\"and\", [\"... | {"split": "train", "index": 7821} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: David, Logan, Emily, Charlotte, Victoria, Daniel, Scarlett, Abigail, and Zoey. David was heard saying, \"(Emily is a hero if and only if Victoria is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1154, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"or\", [\"lying\", 7], [\"lying\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 6], [\"lying\", 5]], [\"<=>\", [\"lying\", 5], [\"ly... | {"split": "train", "index": 7822} |
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, Noah, Ella, Avery, David, William, Joseph, and Owen. Scarlett commented, \"(Abigail is a saint and Avery is a sinner) or (Avery is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1155, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"not\", [\"lying\", 4]]], [\"->\", [\"and\", [\"telling-truth\", 6], [\"lying\", 6]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 2]... | {"split": "train", "index": 7823} |
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, Ella, Olivia, Avery, Lily, Jackson, Zoey, Alexander, and Lucas. According to Jack, \"if (Avery is a devil if and only if Olivia is a devil) then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1156, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"and\", [\"lying\", 5], [\"telling-truth\", 7]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 0]], [\"not\", [\"lying\", 7]]], [\"<=>\", ... | {"split": "train", "index": 7824} |
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, Charlotte, Sebastian, Avery, Liam, Jacob, Sofia, Jackson, and Daniel. In James's words: \"Charlotte is a knight\". Charlotte said, \"Charlotte... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1157, \"statements\": [[\"telling-truth\", 1], [\"telling-truth\", 1], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 7]]], [\"->\", [\"and\", [\"telling-truth\", 5], [\"lying... | {"split": "train", "index": 7825} |
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, Elizabeth, Abigail, Avery, Emma, Matthew, David, Isabella, and Evelyn. Aiden noted, \"it is not the case that (if David is a devil then Emma is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1158, \"statements\": [[\"not\", [\"->\", [\"lying\", 6], [\"lying\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 8], [\"lying\", 5]], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"and\", [\"... | {"split": "train", "index": 7826} |
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, Mia, Jacob, Mason, Amelia, Sofia, Luke, Sophia, and Sebastian. Michael stated, \"Jacob is a villain\". Mia noted, \"if (Amelia is a hero) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1159, \"statements\": [[\"lying\", 2], [\"->\", [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 6]]], [\"and\", [\"and\", [\"lying\", 6], [\"telling-truth\", 0]], [\"and\", [\"lying\", 7], [\"lying\", 4]]], [\"<=>\", ... | {"split": "train", "index": 7827} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Lucas, Luke, Matthew, William, Avery, Mia, Oliver, Owen, and Liam. Lucas told you that if Luke is a fool then (Matthew is a fool or Owen is a fool). Luke n... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1160, \"statements\": [[\"->\", [\"lying\", 1], [\"or\", [\"lying\", 2], [\"lying\", 7]]], [\"lying\", 6], [\"<=>\", [\"->\", [\"lying\", 5], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 4]]], [\"->\"... | {"split": "train", "index": 7828} |
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: Evelyn, Mia, Chloe, Sophia, Ethan, Alexander, Isabella, Matthew, and Emily. Evelyn noted, \"(Mia is an altruist or Ethan is an altruist) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1161, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"lying\", 4]], [\"or\", [\"not\", [\"lying\", 0]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 7]]], [\"lying\", 5], [\"not\", [\"-... | {"split": "train", "index": 7829} |
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: Avery, Daniel, Michael, Jackson, Matthew, Elizabeth, Lucas, Joseph, and Sebastian. Avery said that if (Joseph is a pioneer if and only if Matth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1162, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"or\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]... | {"split": "train", "index": 7830} |
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, Harper, Owen, Charlotte, Ella, Daniel, Emily, Zoey, and Abigail. Scarlett expressed that it is not the case that (if Charlotte is a p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1163, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 3], [\"lying\", 5]]], [\"or\", [\"<=>\", [\"lying\", 7], [\"lying\", 0]], [\"not\", [\"telling-truth\", 7]]], [\"or\", [\"<=>\", [\"telling-truth\", 8], [\"lying\",... | {"split": "train", "index": 7831} |
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: Noah, Evelyn, Emily, Chloe, Daniel, Logan, Sophia, Michael, and Luke. Noah remarked, \"(Logan is a hero if and only if Sophia is a villain) or (Emily... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1164, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 6]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 7]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"telling-truth\", 6]], [\"or\... | {"split": "train", "index": 7832} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Jack, Luke, Emily, Joseph, Samuel, Jacob, Olivia, Daniel, and Ethan. Jack noted, \"(Joseph is a sinner and Jacob is a saint) or (Emily is a sinner or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1165, \"statements\": [[\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 5]], [\"or\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 8]... | {"split": "train", "index": 7833} |
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, David, Riley, Michael, Ella, Penelope, Logan, Amelia, and Lily. Harper told you that (if David is an altruist then Logan is an altruist... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1166, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 8]]], [\"<=>\", [\"lying\",... | {"split": "train", "index": 7834} |
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: Isabella, Evelyn, Penelope, Zoey, Amelia, Mason, Aurora, Victoria, and Ethan. \"(Penelope is a sinner and Zoey is a sinner) if and only if (Zoey is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1167, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 8]]], [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"->\", [\"not\", [\"telling-... | {"split": "train", "index": 7835} |
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, Elizabeth, Emily, Evelyn, Lily, Owen, Joseph, James, and Olivia. In Zoey's words: \"if Emily is a pioneer then (if Zoey is a pioneer then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1168, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 0], [\"lying\", 5]]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 8]], [\"->\", [\"lying\", 8], [\"lying\", 6]]], [\"->\", [\"or\",... | {"split": "train", "index": 7836} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Samuel, Alexander, Elizabeth, Grace, Joseph, Ella, David, Oliver, and Lily. Samuel was heard saying, \"Joseph is a villain and (Grace is a villain)\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1169, \"statements\": [[\"and\", [\"lying\", 4], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"->\", [\"->\", ... | {"split": "train", "index": 7837} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Victoria, Joseph, Zoey, Ethan, Sofia, Penelope, Luke, Riley, and Sebastian. Victoria asserted: \"(Ethan is a sage or Penelope is a sage) or (if Luke is a f... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1170, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"->\", [\"lying\", 6], [\"lying\", 8]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"not\", [\"and\", [\"lying\",... | {"split": "train", "index": 7838} |
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, Olivia, Victoria, Chloe, Sebastian, Noah, Emma, Daniel, and Isabella. Aria told you that (Sebastian is an egoist) and (if Daniel is an eg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1171, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"lying\", 7], [\"telling-truth\", 7]]], [\"or\", [\"lying\", 4], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 5]]], [\"->\", [\"<=>\", [\"telling-... | {"split": "train", "index": 7839} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Lily, Jack, Aria, Owen, Aurora, Jackson, Grace, Harper, and Ava. In Lily's words: \"if (if Owen is an altruist then Ava is an egoist) then (Jac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1172, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 8]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 1]]], [\"not\", [\"lying\", 0]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 0]], [\"an... | {"split": "train", "index": 7840} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Jackson, Oliver, Olivia, Michael, David, Daniel, Abigail, Liam, and Sophia. Jackson expressed that (Abigail is a sinner or Daniel is a saint) or Dani... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1173, \"statements\": [[\"or\", [\"or\", [\"lying\", 6], [\"telling-truth\", 5]], [\"telling-truth\", 5]], [\"<=>\", [\"not\", [\"lying\", 8]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 5]]], [\"or\", [\"->\", [\"t... | {"split": "train", "index": 7841} |
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: Noah, Lily, Luke, Michael, Samuel, Emily, Abigail, Alexander, and Aria. Noah stated, \"(if Abigail is a hero then Samuel is a hero) and (Luke is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1174, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]]], [\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"lying\", 5]], [\"<=>\", [\"and\", [\"lying\", 8], [... | {"split": "train", "index": 7842} |
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, Emma, Aurora, Ethan, Sebastian, Grace, Avery, Aria, and Noah. Oliver commented, \"(Ethan is a pioneer if and only if Grace is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1175, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 4]]], [\"<=>\", [\"telling-truth\", 2], [\"or\", [\"lying\", 5], [\"lying\", 7]]], [\"<=... | {"split": "train", "index": 7843} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Abigail, Oliver, Sofia, Michael, Ella, Ava, Elizabeth, Lucas, and Chloe. As Abigail put it, \"it is not the case that (if Ava is an angel then Chloe is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1176, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 8]]], [\"telling-truth\", 2], [\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 6]]], [\"telling-truth\", 5], [\"lying\", 0], [\"<=>\"... | {"split": "train", "index": 7844} |
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, Emily, Aurora, Ava, Victoria, Grace, Zoey, Aria, and Emma. Penelope said that Ava is a pioneer if and only if (Penelope is a pioneer ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1177, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 0], [\"lying\", 7]]], [\"and\", [\"lying\", 5], [\"->\", [\"lying\", 3], [\"lying\", 6]]], [\"not\", [\"->\", [\"lying\", 8], [\"telling-tr... | {"split": "train", "index": 7845} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Liam, Victoria, Logan, Sebastian, Jacob, William, Charlotte, Aria, and Mia. Liam was heard saying, \"(Logan is a knave or Logan is a knight) or (if W... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1178, \"statements\": [[\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2]], [\"->\", [\"lying\", 5], [\"telling-truth\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"lying\", 6]], [\"and\",... | {"split": "train", "index": 7846} |
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, Matthew, Liam, Scarlett, James, Emma, Michael, Ava, and Lily. Elizabeth stated, \"Matthew is a pioneer or (Lily is a pioneer if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1179, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 2]]], [\"->\", [\"lying\", 0], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"lyin... | {"split": "train", "index": 7847} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Chloe, Ava, Aurora, Oliver, Sofia, Noah, David, Jack, and Grace. Chloe expressed that (if Grace is a fool then Ava is a fool) and Noah is a fool. Ava said ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1180, \"statements\": [[\"and\", [\"->\", [\"lying\", 8], [\"lying\", 1]], [\"lying\", 5]], [\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 1]], [\"->\", [\"lying\", 6], [\"telling-truth\", 6]]], [\"telling-tru... | {"split": "train", "index": 7848} |
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, Benjamin, Jacob, Ava, Sofia, Samuel, Luke, Henry, and Aiden. Sophia commented, \"(Ava is a saint) and (Samuel is a saint if and only if Jacob... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1181, \"statements\": [[\"and\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 2]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 7]]], [\... | {"split": "train", "index": 7849} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Grace, Michael, Samuel, Abigail, Matthew, Emily, Isabella, Logan, and Henry. As Grace put it, \"it is not the case that (Henry is a villain and Emily... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1182, \"statements\": [[\"not\", [\"and\", [\"lying\", 8], [\"lying\", 5]]], [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 2], ... | {"split": "train", "index": 7850} |
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, Lucas, Victoria, William, Daniel, Elizabeth, Matthew, Joseph, and Luke. \"it is not the case that (Daniel is an egoist and William is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1183, \"statements\": [[\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 7], [\"lying\", 0]]], [\"or\", [\"->\", [\"telling-... | {"split": "train", "index": 7851} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Logan, Scarlett, Abigail, Luke, Harper, Lily, Sophia, Victoria, and Samuel. Logan stated, \"if (Abigail is a hero if and only if Scarlett is a hero) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1184, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"telling-truth\", 1]], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 5]], [\"lying\", 3]], [\"not\", [\"lying\", 3]], [\"and... | {"split": "train", "index": 7852} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Logan, Chloe, Lily, Olivia, Ethan, Evelyn, Scarlett, Oliver, and Harper. Logan remarked, \"Chloe is a saint or (Scarlett is a sinner if and only if C... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1185, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 1]]], [\"telling-truth\", 5], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 5]]], [\"lying\", 0], [\"telling-truth... | {"split": "train", "index": 7853} |
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: Alexander, Sofia, Evelyn, Ella, Aurora, Benjamin, Zoey, Luke, and Daniel. \"Benjamin is a pioneer\" - Alexander. Sofia said that Aurora is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1186, \"statements\": [[\"telling-truth\", 5], [\"lying\", 4], [\"->\", [\"lying\", 3], [\"and\", [\"lying\", 4], [\"lying\", 3]]], [\"<=>\", [\"lying\", 8], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 7]]], [\"tellin... | {"split": "train", "index": 7854} |
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: Liam, Daniel, Emma, Aria, Charlotte, William, Luke, Owen, and Benjamin. Liam expressed that it is not the case that (Aria is a hero). In Daniel's wor... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1187, \"statements\": [[\"not\", [\"not\", [\"lying\", 3]]], [\"and\", [\"telling-truth\", 4], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"lying\", 8]], [\"not\", [\"lying\", 1]]],... | {"split": "train", "index": 7855} |
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, Scarlett, Lucas, Avery, Isabella, Jack, Riley, Matthew, and Samuel. \"(if Lucas is an altruist then Isabella is an altruist) or (Avery i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1188, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 6]]], [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"lying\", 7]], ... | {"split": "train", "index": 7856} |
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: Olivia, Aria, Alexander, Jacob, Sophia, Avery, Evelyn, Mason, and Amelia. Olivia told you that (Evelyn is a knave if and only if Avery is a knight) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1189, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 5]], [\"not\", [\"lying\", 7]]], [\"not\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 8]]], [\"lying\", 4], [\"->\", [\"<=>\", [\"telling... | {"split": "train", "index": 7857} |
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: Henry, Emma, Chloe, David, Sebastian, Isabella, Jackson, Victoria, and Oliver. Henry expressed that (David is a devil and Sebastian is an angel) and (I... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1190, \"statements\": [[\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 5], [\"lying\", 6]]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2]], [\"and\", [\"telling-truth\",... | {"split": "train", "index": 7858} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Ella, Sofia, Charlotte, David, Daniel, Sophia, Emma, Victoria, and James. \"James is a devil and (Victoria is an angel or Emma is an angel),\" Ella cla... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1191, \"statements\": [[\"and\", [\"lying\", 8], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 6]]], [\"and\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 2], [\"lying\", 2]]]... | {"split": "train", "index": 7859} |
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: Jack, Riley, Penelope, Scarlett, Lily, Matthew, James, William, and Lucas. In a statement by Jack: \"(William is a hero and Lucas is a villain) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1192, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 7], [\"lying\", 8]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 4], [\"lying\", 6]]], [\"<=>\",... | {"split": "train", "index": 7860} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Noah, Evelyn, Liam, Emma, Mia, Aurora, James, William, and Penelope. In Noah's words: \"(if Noah is a pioneer then Liam is a pioneer) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1193, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 5]]], [\"or\", [\"lying\", 4], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 7]]],... | {"split": "train", "index": 7861} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Aurora, Ava, David, James, Emily, Alexander, Elizabeth, Logan, and Grace. According to Aurora, \"it is not the case that (Emily is a fool if and only if El... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1194, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 6]]], [\"not\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 2]]], [\"telling-truth\", 6], [\"or\", [\"or\", [\"telling-truth\", 7], [\"lying\", 8... | {"split": "train", "index": 7862} |
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, Oliver, Jacob, Amelia, Jackson, Isabella, Emma, Sophia, and Grace. Mia told you that if (Amelia is a laggard and Oliver is a pioneer) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1195, \"statements\": [[\"->\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1]], [\"not\", [\"lying\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]]], [\"or\", [\"or\", [\... | {"split": "train", "index": 7863} |
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: Samuel, Evelyn, Emma, Michael, Avery, Abigail, Logan, Sebastian, and Elizabeth. Samuel stated, \"if (if Samuel is a sage then Sebastian is a sage) then (Av... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1196, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 7]], [\"->\", [\"lying\", 3], [\"lyi... | {"split": "train", "index": 7864} |
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: Chloe, Amelia, Harper, Lily, Logan, James, Jacob, Charlotte, and Ella. Chloe said that (Ella is a laggard if and only if Charlotte is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1197, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 8], [\"lying\", 7]], [\"and\", [\"telling-truth\", 5], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 7], [\"l... | {"split": "train", "index": 7865} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Chloe, Samuel, Evelyn, Aria, Charlotte, Abigail, Jack, David, and Olivia. Chloe commented, \"(if Chloe is a sage then Aria is a sage) if and only if (Samue... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1198, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"telling-truth\", 4], [\"and\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 7]], [\"not\", [\"l... | {"split": "train", "index": 7866} |
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: Sebastian, Liam, Lucas, Evelyn, Chloe, Harper, Emma, Jack, and Aiden. Sebastian stated, \"it is not the case that (if Jack is an angel then Chloe is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1199, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 7], [\"lying\", 4]]], [\"or\", [\"->\", [\"telling-truth\", 6], [\"lying\", 4]], [\"not\", [\"telling-truth\", 8]]], [\"<=>\", [\"and\", [\"telling-truth\", 5], [\"... | {"split": "train", "index": 7867} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Aria, Ava, Benjamin, Olivia, Avery, William, Harper, Jackson, and Noah. As Aria put it, \"Benjamin is a sinner\". Ava remarked, \"(Benjamin is a sinn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1200, \"statements\": [[\"lying\", 2], [\"and\", [\"or\", [\"lying\", 2], [\"lying\", 5]], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 7]]], [\"<=>\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 3]]], [\"and... | {"split": "train", "index": 7868} |
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, Jack, Liam, Lucas, Amelia, Aurora, Sebastian, Aria, and Owen. Charlotte remarked, \"Jack is an angel or Owen is an angel\". Jack told you th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1201, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"telling-truth\", 8]], [\"lying\", 4], [\"->\", [\"or\", [\"lying\", 7], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 1]]], [\"<=>\", [\"telling-truth... | {"split": "train", "index": 7869} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Olivia, Abigail, Benjamin, Michael, Ava, Mia, Liam, Oliver, and William. \"(Abigail is a pioneer and Oliver is a laggard) if and only if (Willi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1202, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 7]], [\"not\", [\"telling-truth\", 8]]], [\"->\", [\"and\", [\"lying\", 8], [\"telling-truth\", 7]], [\"or\", [\"lying\", 5], [\"lying\", 4]]], [\"... | {"split": "train", "index": 7870} |
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, Ethan, Logan, Scarlett, Jackson, Emily, Joseph, Elizabeth, and Aurora. \"it is not the case that (if Jackson is a sinner then Elizabeth is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1203, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"lying\", 7]]], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 6], [\"lying\",... | {"split": "train", "index": 7871} |
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, Harper, Emily, Abigail, Evelyn, Olivia, Ella, Logan, and Penelope. Lily stated, \"Ella is a knave\". Harper was heard saying, \"Logan is a knav... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1204, \"statements\": [[\"lying\", 6], [\"lying\", 7], [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"telling-truth\", 8]]], [\"and\", [\"or\", [\"lying\", 8], [\"telling-truth\", 7]], ... | {"split": "train", "index": 7872} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Penelope, Logan, Mia, Joseph, Chloe, Liam, Jacob, Daniel, and Lily. Penelope was heard saying, \"(Jacob is a knight) or (if Penelope is a knight then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1205, \"statements\": [[\"or\", [\"not\", [\"lying\", 6]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]], [\"and\", [\"lying\", 7], [\"lying\", 2]]], [\"... | {"split": "train", "index": 7873} |
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, Matthew, David, Harper, Emily, Samuel, Jackson, and Michael. James expressed that if Emily is an angel then (Ethan is an angel and Ethan ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1206, \"statements\": [[\"->\", [\"telling-truth\", 5], [\"and\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"lying\", 3], [\"telling-truth\", 6], [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 0]], [\"<=>\", [\"tellin... | {"split": "train", "index": 7874} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Evelyn, Grace, Emily, Ava, Luke, Ethan, Daniel, Harper, and Aiden. Evelyn expressed that Grace is a hero. Grace stated, \"(Ava is a hero or Daniel is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1207, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"or\", [\"telling-truth\", 3], [\"lying\", 6]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"and\", [\"telling-truth\", 0], [\"->\", [\"lying\", 5], [\"lying\"... | {"split": "train", "index": 7875} |
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, Lucas, Ava, Elizabeth, Daniel, Emily, Alexander, Joseph, and Matthew. Penelope commented, \"(if Elizabeth is a pioneer then Ava is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1208, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 7]]], [\"and\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\"... | {"split": "train", "index": 7876} |
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: Avery, Abigail, Sebastian, James, Sofia, Oliver, Victoria, Penelope, and Benjamin. Avery said, \"Oliver is an egoist.\" As Abigail put it, \"(i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1209, \"statements\": [[\"lying\", 5], [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 5], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 4]]], [\"... | {"split": "train", "index": 7877} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Evelyn, Michael, Amelia, Emily, Olivia, Grace, Owen, James, and Aurora. Evelyn said, \"(James is a pioneer and Owen is a laggard) or (if Michae... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1210, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 7], [\"lying\", 6]], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 3]], [\"telling-truth\", 0]], ... | {"split": "train", "index": 7878} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Owen, Emma, Noah, Charlotte, Samuel, Oliver, Joseph, Ella, and Chloe. According to Owen, \"if (Joseph is an angel or Charlotte is a devil) then (if Ell... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1211, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 6], [\"lying\", 3]], [\"->\", [\"lying\", 7], [\"telling-truth\", 7]]], [\"telling-truth\", 1], [\"->\", [\"or\", [\"lying\", 0], [\"telling-truth\", 5]], [\"not\", ... | {"split": "train", "index": 7879} |
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, Logan, Mia, Daniel, Sophia, Ella, Benjamin, Sofia, and Liam. Aiden stated, \"Daniel is an altruist\". Logan remarked, \"(Sofia is an alt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1212, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"not\", [\"lying\", 7]], [\"<=>\", [\"lying\", 5], [\"lying\", 0]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", ... | {"split": "train", "index": 7880} |
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, Logan, Noah, Luke, Abigail, Emma, Sofia, Elizabeth, and Sebastian. Ethan remarked, \"(Sofia is a sage) if and only if (Sofia is a fool and Logan is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1213, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 6]], [\"and\", [\"lying\", 6], [\"lying\", 1]]], [\"->\", [\"not\", [\"lying\", 5]], [\"and\", [\"lying\", 0], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"lying\", 7], [\"lyi... | {"split": "train", "index": 7881} |
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, Mia, Aurora, Logan, Riley, Chloe, Noah, Lucas, and David. According to Zoey, \"(if Aurora is a pioneer then Mia is a laggard) and (if Luc... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1214, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 1]], [\"->\", [\"lying\", 7], [\"lying\", 6]]], [\"<=>\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"->\", [\"lying\", 0], [\"lyi... | {"split": "train", "index": 7882} |
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, Michael, Owen, Sophia, Avery, Oliver, Henry, Emily, and Aiden. Emma commented, \"it is not the case that (Henry is an angel or Avery is a devil)\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1215, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 6], [\"lying\", 4]]], [\"not\", [\"not\", [\"lying\", 0]]], [\"->\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 5], [\"lying\"... | {"split": "train", "index": 7883} |
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, Emily, Riley, Harper, Ella, Avery, Chloe, Amelia, and Noah. Victoria stated, \"it is not the case that (if Amelia is an egoist then H... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1216, \"statements\": [[\"not\", [\"->\", [\"lying\", 7], [\"lying\", 3]]], [\"telling-truth\", 3], [\"lying\", 7], [\"and\", [\"and\", [\"lying\", 6], [\"lying\", 5]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]]]... | {"split": "train", "index": 7884} |
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, William, Liam, Evelyn, Jack, Scarlett, Luke, Amelia, and Riley. Jacob said, \"William is a hero.\" William told you that it is not the case th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1217, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"or\", [\"lying\", 8], [\"telling-truth\", 6]]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], ... | {"split": "train", "index": 7885} |
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: Ethan, Owen, William, Lucas, Victoria, Mia, Mason, Abigail, and Zoey. Ethan noted, \"(Zoey is a knight if and only if Mason is a knight) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1218, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 5]]], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"lying\", 7], [\... | {"split": "train", "index": 7886} |
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, Sophia, James, Grace, Jackson, Amelia, Harper, Victoria, and Ethan. Jacob said that (Harper is a knight if and only if Victoria is a knight) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1219, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 8], [\"lying\", 2]]], [\"not\", [\"lying\", 0]], [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 8... | {"split": "train", "index": 7887} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Evelyn, William, Oliver, Penelope, Henry, Lucas, Chloe, Jacob, and Ava. As Evelyn put it, \"it is not the case that (if William is a sage then Ava is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1220, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 8]]], [\"<=>\", [\"telling-truth\", 0], [\"<=>\", [\"lying\", 5], [\"lying\", 0]]], [\"not\", [\"not\", [\"lying\", 0]]], [\"lying\", 2], [\... | {"split": "train", "index": 7888} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: William, Benjamin, Elizabeth, Ava, Avery, Abigail, Lucas, Sebastian, and Emma. In a statement by William: \"(Lucas is a hero or Emma is a villain) an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1221, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 6], [\"lying\", 8]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 5], [\"lying\", 4]], [\"not\", [\"lying\", 3]]... | {"split": "train", "index": 7889} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Grace, Jack, Noah, Ella, Sebastian, Lucas, Abigail, Chloe, and Aurora. Grace remarked, \"(Abigail is a fool) if and only if (Sebastian is a fool or Aurora ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1222, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 6]], [\"or\", [\"lying\", 4], [\"lying\", 8]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"lying\", 8]], [\"or\", [\"lying\", 8], [\"and\", [\... | {"split": "train", "index": 7890} |
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: Amelia, Mia, Henry, Sophia, Scarlett, Owen, James, William, and Elizabeth. Amelia said, \"if (Scarlett is a hero and Amelia is a hero) then Elizabeth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1223, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"lying\", 8]], [\"->\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 6]]], [\"not\", [\"->\", [\"l... | {"split": "train", "index": 7891} |
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: Ethan, Matthew, Mason, Elizabeth, Olivia, Joseph, Benjamin, Alexander, and Ava. \"it is not the case that (Joseph is a saint),\" Ethan claimed. Matth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1224, \"statements\": [[\"not\", [\"not\", [\"lying\", 5]]], [\"telling-truth\", 8], [\"or\", [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 4], [\"telling-truth\", 7]]], [\"or\", [\"or\", [\"lying\", 7], [\"lying\", 8]], [\"... | {"split": "train", "index": 7892} |
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, Scarlett, Penelope, Sofia, Elizabeth, Harper, Noah, Oliver, and Jack. Lily commented, \"Sofia is a sinner\". \"(Noah is a saint or Oliver is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1225, \"statements\": [[\"lying\", 3], [\"<=>\", [\"or\", [\"telling-truth\", 6], [\"lying\", 7]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 5]]], [\"telling-truth\", 7], [\"lying\", 1], [\"and\", [\"telling-truth\"... | {"split": "train", "index": 7893} |
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: Avery, Elizabeth, Aria, Grace, Liam, Jacob, Ella, Henry, and Evelyn. \"if (Henry is a fool) then Evelyn is a sage,\" Avery claimed. Elizabeth expressed tha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1226, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 7]], [\"telling-truth\", 8]], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 5]], [\"lying\", 4]], [\"and\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\"... | {"split": "train", "index": 7894} |
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, Noah, Henry, William, Aiden, Ella, Victoria, Owen, and Harper. In a statement by Zoey: \"Victoria is a knave and (if Owen is a knight then Ella... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1227, \"statements\": [[\"and\", [\"lying\", 6], [\"->\", [\"telling-truth\", 7], [\"lying\", 5]]], [\"lying\", 8], [\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 8]]], [\"or\", [\"telling-truth\", 7], [\"->\", [\"tell... | {"split": "train", "index": 7895} |
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, Joseph, Samuel, Aiden, Penelope, Alexander, Aurora, Amelia, and Victoria. \"(Victoria is a hero) and (if Victoria is a hero then Amelia is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1228, \"statements\": [[\"and\", [\"not\", [\"lying\", 8]], [\"->\", [\"telling-truth\", 8], [\"lying\", 7]]], [\"not\", [\"and\", [\"telling-truth\", 5], [\"lying\", 2]]], [\"->\", [\"telling-truth\", 6], [\"not\", [\"lying\"... | {"split": "train", "index": 7896} |
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: Harper, Benjamin, Grace, David, Oliver, Victoria, Mason, Liam, and Logan. In Harper's words: \"(Liam is a hero if and only if Benjamin is a villain) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1229, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 1]], [\"not\", [\"telling-truth\", 5]]], [\"or\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 6]], [\"->\", [\"lying\", 5], [\"telling-tru... | {"split": "train", "index": 7897} |
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: Ethan, Henry, Benjamin, Isabella, Ava, Penelope, Matthew, Zoey, and Michael. \"(Ava is a knave and Penelope is a knave) or (Isabella is a knight or I... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1230, \"statements\": [[\"or\", [\"and\", [\"lying\", 4], [\"lying\", 5]], [\"or\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"and\", [\"lying\", 8], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 7]]], [\"or\", [\"or... | {"split": "train", "index": 7898} |
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, Owen, Ella, Michael, Emma, Samuel, Jacob, Jackson, and William. Scarlett was heard saying, \"Owen is an angel\". Owen stated, \"it is not the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1231, \"statements\": [[\"telling-truth\", 1], [\"not\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 8]]], [\"->\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 7], [\"lying\", 4]]], [\"->\", [\"telling-truth\", 1],... | {"split": "train", "index": 7899} |
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