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: Emma, Ava, Aiden, Ethan, Aria, Ella, Noah, Sofia, and Zoey. In a statement by Emma: \"it is not the case that (if Ella is a laggard then (Aiden... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 22, \"statements\": [[\"not\", [\"->\", [\"lying\", 5], [\"and\", [\"lying\", 2], [\"telling-truth\", 2], [\"telling-truth\", 6]]]], [\"not\", [\"or\", [\"or\", [\"lying\", 6], [\"telling-truth\", 4], [\"telling-truth\", 3]], ... | {"split": "train", "index": 17800} |
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: Amelia, Charlotte, Olivia, Avery, Evelyn, Riley, Ava, Samuel, and Elizabeth. Amelia was heard saying, \"if Charlotte is a sinner then ((Charlotte is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 23, \"statements\": [[\"->\", [\"lying\", 1], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 6], [\"lying\", 4]]]], [\"<=>\", [\"<=>\", [\"->\", [\"lyi... | {"split": "train", "index": 17801} |
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, Emma, Ava, Daniel, Logan, Noah, Sofia, Alexander, and Evelyn. \"((Alexander is a hero) if and only if (Logan is a villain if and only if Evely... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 24, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"lying\", 7]], [\"<=>\", [\"lying\", 4], [\"lying\", 8]]], [\"or\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 6], [\"telling-truth\", 8]], [\"telling-truth\", 6], ... | {"split": "train", "index": 17802} |
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: Oliver, Jacob, Ella, Liam, Charlotte, Noah, Olivia, Harper, and Matthew. \"(Ella is a knight or (if Noah is a knight then Oliver is a knight)) or ((J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 25, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"lying\", 1]], [\"->\", [\"lying\", 5], [\"lying\", 2]], [\"and\", [\"lying\", 6], ... | {"split": "train", "index": 17803} |
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, Sofia, Lucas, David, Evelyn, Isabella, Grace, Logan, and Ella. According to Olivia, \"((if Sofia is a laggard then Lucas is a pioneer) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 26, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"->\", [\"lying\", 2], [\"lying\", 6]]], [\"->\", [\"and\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 8]], [\"->\", [\"lyin... | {"split": "train", "index": 17804} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Sofia, Joseph, Lily, Isabella, Lucas, Penelope, Abigail, Charlotte, and Henry. Sofia was heard saying, \"(if (Penelope is a hero or Joseph is a hero ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 27, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 1], [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 7], [\"lyin... | {"split": "train", "index": 17805} |
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, Matthew, Logan, Aurora, Ella, Mia, Avery, Aiden, and Grace. Scarlett expressed that if (Mia is a pioneer or (if Aurora is a laggard t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 28, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 5], [\"->\", [\"lying\", 3], [\"lying\", 6]]], [\"not\", [\"telling-truth\", 7]]], [\"and\", [\"and\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 2], [\"telling-t... | {"split": "train", "index": 17806} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Mia, Charlotte, Victoria, Henry, Chloe, Jacob, Emma, Lily, and Ethan. Mia commented, \"((Charlotte is a sage) or (Victoria is a sage)) if and only if ((Lil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 29, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"lying\", 1]], [\"not\", [\"lying\", 2]]], [\"or\", [\"or\", [\"telling-truth\", 7], [\"lying\", 5], [\"lying\", 8], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 8], [\"tel... | {"split": "train", "index": 17807} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Isabella, Charlotte, Olivia, Elizabeth, Alexander, Benjamin, Oliver, Mason, and Abigail. Isabella said, \"it is not the case that ((Elizabeth i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 30, \"statements\": [[\"not\", [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]], [\"telling-truth\", 6], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"telling-truth\", 5]]], [\"->\", [\"not\", [\"<=>\"... | {"split": "train", "index": 17808} |
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: Zoey, Elizabeth, Michael, Luke, Sophia, William, Aria, Matthew, and Victoria. Zoey commented, \"it is not the case that (Victoria is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 31, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 8], [\"not\", [\"lying\", 3]]]], [\"telling-truth\", 7], [\"or\", [\"not\", [\"lying\", 3]], [\"telling-truth\", 4]], [\"<=>\", [\"<=>\", [\"and\", [\"telling-truth\"... | {"split": "train", "index": 17809} |
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: Oliver, Isabella, Sophia, Mia, Victoria, Owen, Samuel, Chloe, and Aiden. As Oliver put it, \"(if (Owen is a knight) then (Aiden is a knight or Chloe ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 32, \"statements\": [[\"<=>\", [\"->\", [\"not\", [\"lying\", 5]], [\"or\", [\"telling-truth\", 8], [\"lying\", 7], [\"telling-truth\", 5], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"ly... | {"split": "train", "index": 17810} |
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, Scarlett, Aiden, Jackson, Grace, Chloe, Ella, Harper, and David. According to Logan, \"Harper is an angel or (if (if Jackson is an angel then Gr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 33, \"statements\": [[\"or\", [\"telling-truth\", 7], [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 7], [\"lying\", 2]]]], [\"->\", [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-trut... | {"split": "train", "index": 17811} |
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, Ava, Joseph, David, Riley, Olivia, Elizabeth, Noah, and Chloe. \"it is not the case that ((if Elizabeth is a devil then Noah is a devil) and (Oli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 34, \"statements\": [[\"not\", [\"and\", [\"->\", [\"lying\", 6], [\"lying\", 7]], [\"or\", [\"lying\", 5], [\"lying\", 6]], [\"->\", [\"lying\", 2], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 5], [\"lying\", 2], [... | {"split": "train", "index": 17812} |
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: Aurora, Lily, Avery, Penelope, Ava, Aiden, Amelia, Daniel, and Joseph. Aurora expressed that it is not the case that (if Aiden is a knight then (Jose... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 35, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 5], [\"<=>\", [\"lying\", 8], [\"lying\", 4]]]], [\"or\", [\"not\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"<=>\", [\"not\", [\"lying\", 3]], [\... | {"split": "train", "index": 17813} |
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: Victoria, Aiden, Henry, Jacob, Abigail, Harper, Owen, Emily, and Elizabeth. \"if (it is not the case that (if Abigail is a laggard then Owen is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 36, \"statements\": [[\"->\", [\"not\", [\"->\", [\"lying\", 4], [\"lying\", 6]]], [\"lying\", 8]], [\"and\", [\"<=>\", [\"not\", [\"lying\", 7]], [\"->\", [\"lying\", 3], [\"lying\", 7]]], [\"->\", [\"and\", [\"lying\", 3], [... | {"split": "train", "index": 17814} |
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: Sofia, Emily, Benjamin, Oliver, Noah, Ella, Isabella, Sebastian, and David. \"if ((Emily is a laggard if and only if Noah is a pioneer) if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 37, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"not\", [\"lying\", 6]]], [\"and\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 0]], [\"->\", [\"lying\", 1], [\"lying\", 5]... | {"split": "train", "index": 17815} |
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: Sofia, David, Aiden, Mia, Aria, Matthew, Lily, Abigail, and Avery. Sofia stated, \"it is not the case that ((Avery is an altruist) or (Aria is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 38, \"statements\": [[\"not\", [\"or\", [\"not\", [\"lying\", 8]], [\"and\", [\"lying\", 4], [\"lying\", 1], [\"lying\", 3], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 0], [\"lying\", 5], [\"telling-truth\", 3], [\"... | {"split": "train", "index": 17816} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Sofia, Victoria, Samuel, Mason, Elizabeth, Lily, Alexander, Chloe, and Aiden. Sofia commented, \"if (it is not the case that (Elizabeth is a villain ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 39, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 5]]], [\"telling-truth\", 4]], [\"and\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 5], [\"te... | {"split": "train", "index": 17817} |
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, Logan, Ethan, Amelia, Jackson, Aria, Olivia, Emma, and Penelope. Jack commented, \"Ethan is a devil or ((Amelia is a devil and Jackson is a devil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 40, \"statements\": [[\"or\", [\"lying\", 2], [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]]]], [\"not\", [\"not\", [\"not\", [\"lying\", ... | {"split": "train", "index": 17818} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Olivia, Mia, Charlotte, Logan, Zoey, Matthew, Daniel, Isabella, and Michael. Olivia stated, \"Logan is a hero\". In Mia's words: \"if (it is not the ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 41, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"not\", [\"and\", [\"telling-truth\", 5], [\"lying\", 7], [\"lying\", 8]]], [\"<=>\", [\"telling-truth\", 4], [\"and\", [\"telling-truth\", 5], [\"lying\", 3], [\"telling... | {"split": "train", "index": 17819} |
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: Chloe, James, Michael, Olivia, Zoey, William, David, Abigail, and Harper. \"if William is a knave then (if (Olivia is a knave or Michael is a knave o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 42, \"statements\": [[\"->\", [\"lying\", 5], [\"->\", [\"or\", [\"lying\", 3], [\"lying\", 2], [\"telling-truth\", 5], [\"telling-truth\", 0]], [\"->\", [\"lying\", 4], [\"lying\", 1]]]], [\"not\", [\"telling-truth\", 8]], [\... | {"split": "train", "index": 17820} |
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, Jackson, Victoria, David, Zoey, Olivia, Penelope, Chloe, and Aria. Elizabeth expressed that Zoey is a knave and ((Victoria is a knave if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 43, \"statements\": [[\"and\", [\"lying\", 4], [\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"telling-truth\", 6], [\"->\", [\"lying\", 4], [\"lying\", 5]], [\"->\", [\"telling-truth\", 6], [\"lying\", 3]]], [\"<=>\",... | {"split": "train", "index": 17821} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Grace, Lily, Penelope, James, Henry, Emily, Samuel, Aiden, and Abigail. Grace commented, \"(if James is a knave then (Emily is a knight and Henry is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 44, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 4], [\"lying\", 1]]], [\"not\", [\"lying\", 3]]], [\"not\", [\"and\", [\"and\", [\"lying\", 6], [\"telling-truth\", ... | {"split": "train", "index": 17822} |
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: Benjamin, Aurora, Liam, Jackson, Daniel, William, Riley, Emma, and Victoria. Benjamin said, \"Riley is a knave and ((Liam is a knight and Victoria is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 45, \"statements\": [[\"and\", [\"lying\", 6], [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 0], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 5], [... | {"split": "train", "index": 17823} |
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, Daniel, William, Jackson, Elizabeth, Emma, Jack, Mia, and Liam. Aria said, \"((Elizabeth is an altruist or Aria is an altruist) if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 46, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"or\", [\"lying\", 1], [\"lying\", 5], [\"lying\", 8]]], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 5]], [\"not\",... | {"split": "train", "index": 17824} |
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: Avery, Aiden, Harper, Chloe, Jacob, Isabella, Riley, Noah, and Victoria. According to Avery, \"it is not the case that ((if Isabella is a saint then ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 47, \"statements\": [[\"not\", [\"and\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 0]]]], [\"and\", [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-t... | {"split": "train", "index": 17825} |
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: Sebastian, Jackson, Amelia, Liam, Chloe, Henry, Sophia, Jacob, and Victoria. Sebastian said, \"(Victoria is a villain or (if Amelia is a hero then Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 48, \"statements\": [[\"or\", [\"or\", [\"lying\", 8], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0], [\"lying\", 4]], [\"not\", [\"telling-truth\", 5]]], [\... | {"split": "train", "index": 17826} |
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: Aurora, Zoey, Jacob, Ava, William, Charlotte, Elizabeth, Mia, and Lily. Aurora remarked, \"((William is a knight or Elizabeth is a knight or Lily is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 49, \"statements\": [[\"or\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 6], [\"telling-truth\", 8], [\"lying\", 4]], [\"not\", [\"lying\", 1]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"... | {"split": "train", "index": 17827} |
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, Sofia, Samuel, Isabella, Ava, David, Owen, Lucas, and Elizabeth. According to Jack, \"it is not the case that ((Elizabeth is a devil and Ava is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 50, \"statements\": [[\"not\", [\"and\", [\"and\", [\"lying\", 8], [\"lying\", 4]], [\"or\", [\"lying\", 7], [\"lying\", 2]]]], [\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 8], [\"lying\", 7]], [\"not\", [\"telling-truth\",... | {"split": "train", "index": 17828} |
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, Aurora, Ava, Chloe, Abigail, Aiden, Logan, Owen, and Luke. \"Aiden is a sage\" - Samuel. Aurora remarked, \"it is not the case that (Ava is a fool ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 51, \"statements\": [[\"telling-truth\", 5], [\"not\", [\"<=>\", [\"lying\", 2], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 8]]]], [\"or\", [\"<=>\", [\"lying\", 3], [\"not\", [\"lying\", 5]]], [\"not\", [\"not\", [\"tellin... | {"split": "train", "index": 17829} |
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, Luke, James, Samuel, Matthew, Scarlett, Ella, Sofia, and Emily. Henry said that (it is not the case that (Matthew is a pioneer)) and (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 52, \"statements\": [[\"and\", [\"not\", [\"not\", [\"lying\", 4]]], [\"->\", [\"->\", [\"lying\", 5], [\"telling-truth\", 2]], [\"->\", [\"lying\", 8], [\"telling-truth\", 0]]], [\"lying\", 2]], [\"or\", [\"telling-truth\", 0... | {"split": "train", "index": 17830} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Logan, Mia, Victoria, Harper, Joseph, Sophia, Owen, Penelope, and Olivia. \"((Owen is an altruist) or (Joseph is an altruist or Olivia is an al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 53, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"lying\", 6]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 8], [\"lying\", 2]], [\"and\", [\"lying\", 8], [\"lying\", 2]], [\"telling-truth\", 1]], [\"not\", [\"tell... | {"split": "train", "index": 17831} |
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, James, Logan, Emily, Victoria, Harper, David, Michael, and Charlotte. Sebastian asserted: \"if ((Emily is a devil and David is a devil) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 54, \"statements\": [[\"->\", [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 6]], [\"lying\", 5]], [\"<=>\", [\"->\", [\"telling-truth\", 8], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 1]]]], [\"an... | {"split": "train", "index": 17832} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Emily, Evelyn, Lily, Jacob, Zoey, Joseph, David, Liam, and Isabella. As Emily put it, \"Lily is a devil\". \"it is not the case that ((Zoey is a devil ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 55, \"statements\": [[\"lying\", 2], [\"not\", [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"lying\", 0]]]], [\"<=>\", [\"->\", [\"or\", [\"lying\", 7], [\"telling-truth\", 8]], [\"te... | {"split": "train", "index": 17833} |
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: Sofia, William, Ava, Noah, Amelia, Liam, Matthew, Ella, and Daniel. Sofia asserted: \"((if Ava is an altruist then Daniel is an altruist) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 56, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 8]], [\"lying\", 3]], [\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 7]], [\"or\", [\"telling-truth\", 5], [\"telling-truth... | {"split": "train", "index": 17834} |
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, Joseph, Isabella, Michael, Charlotte, Luke, Jacob, Ava, and Sebastian. As Evelyn put it, \"((if Ava is a pioneer then Charlotte is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 57, \"statements\": [[\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 7]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]], ... | {"split": "train", "index": 17835} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Sofia, Jack, Joseph, Olivia, Lucas, Liam, Grace, Mia, and Lily. Sofia remarked, \"it is not the case that ((Jack is a fool if and only if Lucas is a sage) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 58, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 6], [\"lying\", 4]]]], [\"lying\", 4], [\"->\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 8]... | {"split": "train", "index": 17836} |
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, Charlotte, Lily, Ethan, Penelope, Lucas, Owen, Ella, and Henry. Benjamin said that ((Lucas is an angel if and only if Benjamin is an angel) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 59, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 2], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 7]]], [\"->\", [\"not\", [\"lying\", ... | {"split": "train", "index": 17837} |
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, Victoria, Ethan, Sebastian, Riley, Jackson, Mia, Ava, and Ella. In a statement by Luke: \"(Mia is a fool if and only if (if Ava is a fool then Jackso... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 60, \"statements\": [[\"<=>\", [\"<=>\", [\"lying\", 6], [\"->\", [\"lying\", 7], [\"telling-truth\", 5]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"->\", [\"lying\", 4], [\"lying\... | {"split": "train", "index": 17838} |
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: David, Owen, Mia, Avery, Sophia, Samuel, Mason, Riley, and Alexander. According to David, \"it is not the case that ((Riley is an altruist if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 61, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 7]], [\"or\", [\"telling-truth\", 5], [\"lying\", 6]]]], [\"and\", [\"->\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 8]], [\"-... | {"split": "train", "index": 17839} |
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, Isabella, Sebastian, Oliver, David, Lily, Owen, Aurora, and William. Mia told you that ((David is a hero or Aurora is a villain or David is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 62, \"statements\": [[\"or\", [\"or\", [\"or\", [\"telling-truth\", 4], [\"lying\", 7], [\"lying\", 4]], [\"->\", [\"telling-truth\", 1], [\"lying\", 8]]], [\"telling-truth\", 0]], [\"or\", [\"and\", [\"telling-truth\", 8], [\... | {"split": "train", "index": 17840} |
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: Aria, Liam, Daniel, Jacob, Matthew, Amelia, Jackson, Isabella, and Chloe. \"it is not the case that ((Chloe is a fool or Jackson is a fool or Matthew is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 63, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"lying\", 8], [\"lying\", 6], [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"and\", [\"lying\", 3], [\"telling-truth\", 6], [\"lying\", 6]]]], [\"not\", [\"or\", [\"->\"... | {"split": "train", "index": 17841} |
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: Avery, Benjamin, Ella, Lily, Zoey, Elizabeth, Abigail, Joseph, and Daniel. Avery asserted: \"(Lily is a devil and (Daniel is an angel and Avery is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 64, \"statements\": [[\"and\", [\"and\", [\"lying\", 3], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 0], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 5], [\"lying\", 6]], [\"or\", [\"telling-truth\", 5], [\"... | {"split": "train", "index": 17842} |
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, Elizabeth, Samuel, Aiden, Scarlett, Mason, Noah, Michael, and Grace. Riley remarked, \"Noah is a hero\". Elizabeth asserted: \"if ((Aiden is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 65, \"statements\": [[\"telling-truth\", 6], [\"->\", [\"or\", [\"not\", [\"lying\", 3]], [\"or\", [\"lying\", 6], [\"lying\", 8]], [\"lying\", 4], [\"and\", [\"telling-truth\", 6], [\"lying\", 0]]], [\"<=>\", [\"lying\", 5], ... | {"split": "train", "index": 17843} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Lucas, Sebastian, Noah, Olivia, Sophia, William, Ava, Aria, and Emily. According to Lucas, \"((Olivia is a devil or William is an angel or Olivia is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 66, \"statements\": [[\"or\", [\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 5], [\"telling-truth\", 3], [\"lying\", 2]], [\"->\", [\"lying\", 4], [\"lying\", 8]], [\"->\", [\"telling-truth\", 8], [\"lying\", 4]], [\"<=... | {"split": "train", "index": 17844} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Aiden, Logan, Elizabeth, Chloe, Jack, Noah, Sebastian, Mason, and William. Aiden asserted: \"((Aiden is a knight if and only if Sebastian is a knave)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 67, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 6]], [\"telling-truth\", 2], [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 6]]], [\"not\", [\"<=>\", [\"... | {"split": "train", "index": 17845} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Evelyn, Jack, Zoey, Mia, Owen, Logan, James, Henry, and Liam. As Evelyn put it, \"Jack is a devil\". In a statement by Jack: \"Mia is an angel\". Zoey ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 68, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 3], [\"not\", [\"or\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 0]], [\"or\", [\"lying\", 1], [\"telling-truth\", 4], [\"telling-truth\", ... | {"split": "train", "index": 17846} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Logan, Evelyn, Chloe, Henry, Victoria, Jackson, Olivia, Penelope, and Aiden. Logan said that Olivia is a laggard. \"Victoria is a laggard,\" Ev... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 69, \"statements\": [[\"lying\", 6], [\"lying\", 4], [\"not\", [\"and\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 1]], [\"not\", [\"telling-truth\", 8]], [\"and\", [\"lying\", 0], [\"telling-truth\", 5], [\"telling-truth\... | {"split": "train", "index": 17847} |
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: David, Owen, Avery, Amelia, Isabella, Mason, Jacob, Matthew, and Evelyn. David said, \"if (if (if Evelyn is a fool then Isabella is a sage) then (Jacob is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 70, \"statements\": [[\"->\", [\"->\", [\"->\", [\"lying\", 8], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 6]]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"and\", [\"telling-truth\", 4], [\"lyin... | {"split": "train", "index": 17848} |
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, Zoey, Sophia, Benjamin, Sofia, Oliver, Aurora, Luke, and Jackson. Victoria remarked, \"Zoey is a knave and ((Aurora is a knave) or (if Auro... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 71, \"statements\": [[\"and\", [\"lying\", 1], [\"or\", [\"not\", [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"tell... | {"split": "train", "index": 17849} |
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, Ethan, Jacob, Scarlett, William, Benjamin, Oliver, Charlotte, and Emma. Sebastian remarked, \"it is not the case that ((William is a devil a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 72, \"statements\": [[\"not\", [\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 8], [\"lying\", 1]], [\"or\", [\"lying\", 7], [\"lying\", 6], [\"lying\", 1], [\"telling-truth\", 0]]]], [\"not\", [\"<=>\", [\"->\", [\"lyi... | {"split": "train", "index": 17850} |
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, William, Victoria, Jacob, Evelyn, Zoey, Matthew, Logan, and Chloe. According to Luke, \"(it is not the case that (William is a fool if and only if Ev... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 73, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"lying\", 1], [\"lying\", 4]]], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 2]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 1], [\"lying\", 7]], [\"or... | {"split": "train", "index": 17851} |
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: William, Sophia, Chloe, Michael, Matthew, Liam, Ella, Zoey, and Aurora. William said that Matthew is a knave or (Michael is a knave and (if Aurora is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 74, \"statements\": [[\"or\", [\"lying\", 4], [\"and\", [\"lying\", 3], [\"->\", [\"telling-truth\", 8], [\"lying\", 1]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 7]]]], [\"not\", [\"lying\", 2]], [\"and\", [\"and\", [\"o... | {"split": "train", "index": 17852} |
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, Liam, Abigail, Grace, Samuel, Jack, Emily, Charlotte, and Harper. James remarked, \"(it is not the case that (Grace is a knight and Abigail is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 75, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 8], [\"telling-truth\", 5]]], [\"<=>\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"not\", [\"lying\", 2]]]], [\"... | {"split": "train", "index": 17853} |
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, Mason, Grace, Jacob, Scarlett, Logan, Isabella, Lucas, and Daniel. Joseph expressed that it is not the case that (it is not the case that (Logan is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 76, \"statements\": [[\"not\", [\"not\", [\"not\", [\"telling-truth\", 5]]]], [\"not\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]]]], [\"lying\", 5], [\"or\", [\"telling-truth\", 6], [\"lying\", 1], [\"... | {"split": "train", "index": 17854} |
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, Benjamin, Abigail, David, Jackson, Elizabeth, Jacob, Aria, and Emily. Ethan expressed that if ((Aria is a saint and Jacob is a sinner and Abig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 77, \"statements\": [[\"->\", [\"and\", [\"and\", [\"telling-truth\", 7], [\"lying\", 6], [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 6]]], [\"<=>\", [\"telling-truth\", 2], [... | {"split": "train", "index": 17855} |
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: James, Liam, Luke, Emma, Olivia, Aiden, Jack, Daniel, and Scarlett. In James's words: \"Daniel is a laggard\". \"((Olivia is a pioneer) and (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 78, \"statements\": [[\"lying\", 7], [\"or\", [\"and\", [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 8], [\"lying\", 0]]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 0]], [\"<=>\", [\"->\", [\"lying\", 3], [\"... | {"split": "train", "index": 17856} |
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, Lucas, Chloe, Jackson, Oliver, Scarlett, Emily, Daniel, and Jacob. Zoey expressed that if ((Jackson is an angel if and only if Zoey is an angel) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 79, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"and\", [\"lying\", 7], [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"lying\", 4], [... | {"split": "train", "index": 17857} |
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: Riley, Joseph, Charlotte, Avery, Michael, William, Victoria, Harper, and Zoey. Riley was heard saying, \"Victoria is an angel and (it is not the case t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 80, \"statements\": [[\"and\", [\"telling-truth\", 6], [\"not\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 1]]], [\"or\", [\"not\", [\"telling-truth\", 5]], [\"telling-truth\", 6], [\"->\", [\"telling-truth\", 0], ... | {"split": "train", "index": 17858} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Avery, Luke, Victoria, William, Mia, Zoey, Penelope, Grace, and Owen. \"it is not the case that (Penelope is a villain if and only if (if Mia is a vi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 81, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 6], [\"->\", [\"lying\", 4], [\"lying\", 8]]]], [\"and\", [\"or\", [\"lying\", 4], [\"or\", [\"lying\", 8], [\"telling-truth\", 7], [\"lying\", 5]], [\"lying\", 3]], [\"or\"... | {"split": "train", "index": 17859} |
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: Abigail, Noah, Mia, Isabella, Mason, Avery, Olivia, Logan, and Michael. Abigail noted, \"it is not the case that (if (Mia is a laggard if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 82, \"statements\": [[\"not\", [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 6]], [\"or\", [\"lying\", 1], [\"lying\", 6], [\"lying\", 4], [\"telling-truth\", 0]]]], [\"and\", [\"or\", [\"<=>\", [\"lying\", 2], [\"lyi... | {"split": "train", "index": 17860} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Ethan, Jacob, Liam, Michael, Isabella, Jack, Amelia, Aiden, and Owen. As Ethan put it, \"if Owen is a pioneer then ((Jack is a laggard or Ameli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 83, \"statements\": [[\"->\", [\"telling-truth\", 8], [\"or\", [\"or\", [\"lying\", 5], [\"lying\", 6], [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 0]], [\"lying\", 5]]], [\"and\", [\"and\", [\"and\"... | {"split": "train", "index": 17861} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Penelope, Joseph, Samuel, Emma, Emily, Sofia, Liam, Evelyn, and Matthew. \"((if Samuel is a sage then Emily is a fool) or (if Sofia is a sage then Samuel i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 84, \"statements\": [[\"or\", [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"->\", [\"telling-truth\", 5], [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"lying\", 1], [\"lying\", 8]], [\"lying\", 7]], [\"lying\",... | {"split": "train", "index": 17862} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Daniel, Jack, Emily, Luke, James, Henry, Aurora, Noah, and Jacob. Daniel stated, \"Jacob is a fool and Henry is a sage\". \"Luke is a fool,\" Jack claimed.... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 85, \"statements\": [[\"and\", [\"lying\", 8], [\"telling-truth\", 5]], [\"lying\", 3], [\"->\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"telling-truth\", 3]], [\"lying\", 0], [\"->\", [\"->\", [... | {"split": "train", "index": 17863} |
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, Liam, Amelia, Abigail, Aiden, Zoey, Noah, Lily, and Olivia. Aria expressed that Olivia is a sinner. According to Liam, \"Noah is a sinner\". Am... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 86, \"statements\": [[\"lying\", 8], [\"lying\", 6], [\"->\", [\"and\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"->\", [\"telling-truth\", 8], [\"lying\", 4]]], [\"not\", [\"and\", [\"lying\", 3], ... | {"split": "train", "index": 17864} |
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, Mia, Jackson, Logan, Luke, Emily, Ava, Amelia, and Avery. As Victoria put it, \"((if Jackson is a sage then Emily is a fool) if and only if (if A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 87, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 5]], [\"->\", [\"lying\", 6], [\"lying\", 4]]], [\"<=>\", [\"telling-truth\", 8], [\"and\", [\"telling-truth\", 6], [\"lying\", 5], [\"telli... | {"split": "train", "index": 17865} |
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, Ella, Ethan, Grace, Scarlett, Liam, Sophia, James, and Olivia. \"((Liam is a sinner) or Liam is a sinner or (Sophia is a saint)) and (it is not... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 88, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 5]], [\"lying\", 5], [\"not\", [\"lying\", 6]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 5]]], [\"and\", [\"->\", [\"lying\", 7], [\"... | {"split": "train", "index": 17866} |
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: Isabella, Scarlett, Benjamin, David, Emily, Ella, Avery, Noah, and Michael. \"(if (if David is an angel then Ella is a devil) then (Michael is an angel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 89, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 3], [\"lying\", 5]], [\"not\", [\"lying\", 8]]], [\"->\", [\"lying\", 5], [\"or\", [\"lying\", 6], [\"telling-truth\", 6], [\"lying\", 4], [\"lying\", 8]]]],... | {"split": "train", "index": 17867} |
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: Olivia, Ava, Alexander, Sebastian, Chloe, Riley, Abigail, Emma, and Liam. \"Alexander is a devil,\" Olivia claimed. \"((Riley is a devil) or (Riley is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 90, \"statements\": [[\"lying\", 2], [\"<=>\", [\"or\", [\"not\", [\"telling-truth\", 5]], [\"and\", [\"lying\", 5], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"not\", [\"telling-truth... | {"split": "train", "index": 17868} |
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, Benjamin, Sophia, James, Luke, Amelia, Jack, Mia, and Riley. In Evelyn's words: \"((Benjamin is an egoist if and only if Mia is an egoi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 91, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 7]], [\"or\", [\"lying\", 4], [\"lying\", 3], [\"lying\", 7]]], [\"not\", [\"not\", [\"telling-truth\", 2]]]], [\"and\", [\"and\", [\"->\", [\"lyin... | {"split": "train", "index": 17869} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Joseph, Abigail, Noah, Victoria, Owen, Ava, David, Jackson, and Olivia. Joseph remarked, \"(it is not the case that (Victoria is a pioneer and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 92, \"statements\": [[\"or\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"lying\", 5], [\"lying\", 4], [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"lying\", 2]], [\"telling-truth\", 1]], [\"or\", [\"or\", [\"lying\", 2],... | {"split": "train", "index": 17870} |
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: Emily, Elizabeth, Sofia, Aiden, Ethan, Jackson, Henry, Owen, and Emma. \"it is not the case that (Elizabeth is a villain),\" Emily declared. \"Emma i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 93, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 1]]], [\"telling-truth\", 8], [\"or\", [\"->\", [\"lying\", 1], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 0],... | {"split": "train", "index": 17871} |
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: Elizabeth, Sofia, David, Riley, Henry, Joseph, James, Emily, and Mason. In Elizabeth's words: \"(if (Riley is an altruist if and only if Sofia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 94, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"or\", [\"lying\", 1], [\"telling-truth\", 6], [\"lying\", 6], [\"telling-truth\", 5]]], [\"and\", [\"->\", [\"telling-truth\... | {"split": "train", "index": 17872} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Abigail, Victoria, Jack, Liam, Elizabeth, Benjamin, Mia, James, and Grace. In a statement by Abigail: \"if Benjamin is an egoist then ((Abigail... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 95, \"statements\": [[\"->\", [\"lying\", 5], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 6]], [\"->\", [\"lying\", 5], [\"lying\", 4]]]], [\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]... | {"split": "train", "index": 17873} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Michael, Owen, Jackson, Ethan, Joseph, Liam, Victoria, Charlotte, and Isabella. In a statement by Michael: \"Charlotte is a saint\". Owen asserted: \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 96, \"statements\": [[\"telling-truth\", 7], [\"and\", [\"and\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 6]], [\"or\", [\"lying\", 3], [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"->\", [\"lying\", 7], [\"... | {"split": "train", "index": 17874} |
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, Benjamin, Riley, William, Grace, Sebastian, Ethan, Avery, and Henry. In Elizabeth's words: \"(if (if Henry is a hero then Sebastian is a h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 97, \"statements\": [[\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 6]]], [\"or\", [\"not\", [\"telling-truth\", 5]], [\"->\", [\"telling-trut... | {"split": "train", "index": 17875} |
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, Riley, Oliver, Benjamin, Joseph, Alexander, William, Sofia, and Noah. In a statement by Sebastian: \"it is not the case that (Benjamin is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 98, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 3], [\"->\", [\"lying\", 8], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]]]], [\"or\", [\"not\", [\"<=>\", [\"lying\", 6], [\"lyin... | {"split": "train", "index": 17876} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Matthew, Sophia, Samuel, Jackson, Harper, Avery, Henry, Emily, and Riley. According to Matthew, \"Jackson is a fool\". In a statement by Sophia: \"(if (Hen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 99, \"statements\": [[\"lying\", 3], [\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 6], [\"lying\", 4], [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"not\", [\"lying\", 2]]], [\"telling-truth\", 4]], [\"and\", [\"tellin... | {"split": "train", "index": 17877} |
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: Charlotte, Samuel, Logan, Aurora, Grace, Isabella, Noah, Henry, and Amelia. \"((Grace is a hero or Henry is a villain or Isabella is a hero) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 100, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 7], [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 8]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"and\", [\"lying\", ... | {"split": "train", "index": 17878} |
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, Sofia, Owen, Zoey, Sophia, Emma, Benjamin, Charlotte, and Chloe. In a statement by Amelia: \"(it is not the case that (Sofia is a villain and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 101, \"statements\": [[\"and\", [\"not\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3], [\"telling-truth\", 5]]], [\"or\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 1], [\"lyi... | {"split": "train", "index": 17879} |
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: Harper, Jackson, Oliver, Emily, Lily, Aria, Logan, Scarlett, and Benjamin. Harper asserted: \"if Logan is a sinner then ((if Logan is a sinner then L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 102, \"statements\": [[\"->\", [\"lying\", 6], [\"<=>\", [\"->\", [\"lying\", 6], [\"lying\", 4]], [\"or\", [\"lying\", 5], [\"telling-truth\", 5], [\"lying\", 7]]]], [\"telling-truth\", 3], [\"<=>\", [\"not\", [\"or\", [\"tel... | {"split": "train", "index": 17880} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Evelyn, Joseph, Scarlett, David, Sophia, Samuel, Owen, Jacob, and William. Evelyn remarked, \"((if Joseph is a devil then Samuel is an angel) or David ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 103, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"lying\", 1], [\"telling-truth\", 5]], [\"lying\", 3], [\"lying\", 5], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\",... | {"split": "train", "index": 17881} |
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, Joseph, Luke, Charlotte, Scarlett, Grace, Amelia, Avery, and Ella. Lily remarked, \"if ((if Avery is a knight then Ella is a knight) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 104, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"lying\", 8]], [\"->\", [\"lying\", 6], [\"telling-tr... | {"split": "train", "index": 17882} |
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: Daniel, Ethan, Jack, Riley, Zoey, Sebastian, Samuel, Benjamin, and Victoria. Daniel asserted: \"Jack is an egoist\". As Ethan put it, \"(Benjam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 105, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"and\", [\"or\", [\"lying\", 7], [\"telling-truth\", 0]], [\"->\", [\"not\", [\"lying\", 0]], [\"and\", [\"lying\", 0], [\"lying\", 4], [\"lying\", 2], [\"telling-trut... | {"split": "train", "index": 17883} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Jackson, Emily, Liam, Penelope, Benjamin, Olivia, Avery, Michael, and Sofia. Jackson commented, \"(if Avery is a knave then (Penelope is a knave)) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 106, \"statements\": [[\"or\", [\"->\", [\"lying\", 6], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"lying\", 6]], [\"or\", [\"telling-truth\", 2], [\"lying\", 5], [\"telling-truth\", 1]]],... | {"split": "train", "index": 17884} |
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, Olivia, Charlotte, Zoey, Ethan, Elizabeth, Henry, Oliver, and Grace. According to Sophia, \"Ethan is a sinner\". Olivia stated, \"it is not t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 107, \"statements\": [[\"lying\", 4], [\"not\", [\"<=>\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 8]], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 2], [\"telling-truth... | {"split": "train", "index": 17885} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Evelyn, Sofia, Scarlett, Mason, Liam, William, Sophia, Aria, and Charlotte. In a statement by Evelyn: \"Sophia is a knave\". Sofia asserted: \"((Aria... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 108, \"statements\": [[\"lying\", 6], [\"<=>\", [\"or\", [\"and\", [\"lying\", 7], [\"lying\", 6]], [\"->\", [\"lying\", 0], [\"lying\", 7]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 8], [\"telling-truth... | {"split": "train", "index": 17886} |
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, Joseph, Riley, Jackson, Benjamin, Victoria, Zoey, Ethan, and James. As Ava put it, \"(Riley is a sinner if and only if (Jackson is a saint)) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 109, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 2], [\"not\", [\"lying\", 3]]], [\"lying\", 3], [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 6]], [\"telling-truth\", 3]], [\"and\", [\"and\", [\"lying\", 5], [\"l... | {"split": "train", "index": 17887} |
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, Aria, Avery, Evelyn, Grace, Luke, Liam, Michael, and Daniel. Lucas commented, \"((Daniel is a fool or Liam is a sage) and Luke is a fool and (Daniel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 110, \"statements\": [[\"<=>\", [\"and\", [\"or\", [\"lying\", 8], [\"telling-truth\", 6]], [\"lying\", 5], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 7]]], [\"lying\", 2]], [\"<=>\", [\"and\", [\"or\", [\"lying\", ... | {"split": "train", "index": 17888} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Emma, William, Aurora, Victoria, Liam, Matthew, Benjamin, Mia, and Lucas. \"if ((Matthew is a pioneer if and only if Matthew is a laggard) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 111, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 5]], [\"and\", [\"lying\", 6], [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"lying\", 6], [\"lying\", 5]], [\"->\", [\"telling-truth\", 8], [\"l... | {"split": "train", "index": 17889} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Sebastian, Evelyn, Victoria, Isabella, William, Liam, Samuel, Ethan, and Owen. Sebastian said that (it is not the case that (William is a sage or Evelyn is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 112, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 1], [\"telling-truth\", 8], [\"lying\", 2]]], [\"not\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 0], [\"lying\", 7], [\"tellin... | {"split": "train", "index": 17890} |
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, Ava, Grace, Oliver, Evelyn, Sofia, Daniel, Liam, and Logan. \"Logan is a villain and (if (Oliver is a villain or Logan is a hero or Sofia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 113, \"statements\": [[\"and\", [\"lying\", 8], [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 8], [\"telling-truth\", 5]], [\"lying\", 7]]], [\"<=>\", [\"not\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 6]]... | {"split": "train", "index": 17891} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: James, Henry, Zoey, Ava, Elizabeth, Victoria, Sophia, Emma, and Jacob. James stated, \"Victoria is a sage\". Henry stated, \"((if Jacob is a sage then Soph... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 114, \"statements\": [[\"telling-truth\", 5], [\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 8], [\"lying\", 6]], [\"and\", [\"lying\", 2], [\"lying\", 6], [\"telling-truth\", 1], [\"telling-truth\", 7]]], [\"or\", [\"and\", ... | {"split": "train", "index": 17892} |
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, Isabella, Samuel, Charlotte, Lily, Lucas, Scarlett, Mia, and Alexander. In a statement by Amelia: \"if (if (Lucas is an egoist and Amel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 115, \"statements\": [[\"->\", [\"->\", [\"and\", [\"lying\", 5], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 5]], [\"or\", [\"tel... | {"split": "train", "index": 17893} |
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: Luke, Ava, Aurora, Michael, Sophia, Abigail, Benjamin, Emily, and Emma. Luke was heard saying, \"Abigail is a saint or (it is not the case that (Ava ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 116, \"statements\": [[\"or\", [\"telling-truth\", 5], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 8]]], [\"telling-truth\", 1], [\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]], [\"or\", [\"lying\", 7],... | {"split": "train", "index": 17894} |
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, Jackson, James, Charlotte, Isabella, Logan, Noah, Scarlett, and Aria. \"if ((Jackson is an angel or Noah is a devil) or Logan is an angel or (Log... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 117, \"statements\": [[\"->\", [\"or\", [\"or\", [\"telling-truth\", 1], [\"lying\", 6]], [\"telling-truth\", 5], [\"not\", [\"lying\", 5]]], [\"lying\", 8]], [\"not\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"telling-tru... | {"split": "train", "index": 17895} |
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, Olivia, Ella, Evelyn, Jacob, Henry, Ava, Owen, and Jack. Logan noted, \"(Ella is a knight and (Ella is a knight and Olivia is a knight and Jac... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 118, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 2], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"lying\", 5], [\"lying\", 4]], [\"->\", [\"lying\", 2], [\... | {"split": "train", "index": 17896} |
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: Sebastian, Jacob, Aria, James, Sofia, Sophia, Scarlett, Aurora, and Chloe. Sebastian remarked, \"((if Sofia is a laggard then Aria is a laggard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 119, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"lying\", 4], [\"lying\", 2]], [\"<=>\", [\"lying\", 4], [\"lying\", 8]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"not\", [\"lying\", 4]]], [\"->\", [\"->... | {"split": "train", "index": 17897} |
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, Oliver, Sebastian, Mason, Penelope, Evelyn, Jackson, Alexander, and Samuel. Zoey was heard saying, \"Sebastian is a hero and ((Jackson is a her... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 120, \"statements\": [[\"and\", [\"telling-truth\", 2], [\"or\", [\"and\", [\"telling-truth\", 6], [\"lying\", 1]], [\"not\", [\"lying\", 5]], [\"and\", [\"telling-truth\", 6], [\"lying\", 4], [\"lying\", 8], [\"lying\", 1]]],... | {"split": "train", "index": 17898} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Mason, Ella, Benjamin, Avery, Riley, Sofia, Aurora, Alexander, and Olivia. In Mason's words: \"Sofia is an egoist\". In a statement by Ella: \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 121, \"statements\": [[\"lying\", 5], [\"or\", [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 8]]], [\"or\", [\"not\", [\"telling-truth\", 6]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"telling-truth\"... | {"split": "train", "index": 17899} |
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