data_source stringclasses 1
value | prompt stringlengths 948 4.18k | ability stringclasses 1
value | reward_model stringlengths 1.89k 8.09k | extra_info stringlengths 30 34 |
|---|---|---|---|---|
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Aurora, Alexander, Zoey, Liam, Owen, Logan, Ella, Isabella, and Avery. Aurora told you that if ((Isabella is an angel if and only if Isabella is a devi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1966, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 7]], [\"and\", [\"telling-truth\", 7], [\"lying\", 8]]], [\"not\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 5]]]], [\"not\", [\... | {"split": "train", "index": 15300} |
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, Zoey, Jack, Joseph, Amelia, David, Victoria, Daniel, and Grace. According to Riley, \"((Joseph is a villain if and only if Amelia is a villain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1967, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 8]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"lying\",... | {"split": "train", "index": 15301} |
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: Penelope, Grace, Jack, Sofia, Mia, Aurora, Zoey, Alexander, and Ella. Penelope remarked, \"(Alexander is a devil and (Jack is a devil if and only if El... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1968, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 7], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 8]]], [\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 7]]]], [\"not\", [\"not\", [\"->\", [\"lying\", 6], [\"lying... | {"split": "train", "index": 15302} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Emily, Oliver, Zoey, Lily, Logan, Grace, Sebastian, Jack, and Lucas. As Emily put it, \"((if Oliver is an altruist then Grace is an egoist) if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1969, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"lying\", 5]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", ... | {"split": "train", "index": 15303} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Evelyn, Mason, Daniel, Logan, Noah, Scarlett, Aiden, Aurora, and David. In a statement by Evelyn: \"if David is a saint then Aurora is a saint\". \"i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1970, \"statements\": [[\"->\", [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"not\", [\"->\", [\"or\", [\"lying\", 6], [\"lying\", 7]], [\"lying\", 2]]], [\"<=>\", [\"lying\", 6], [\"and\", [\"lying\", 3], [\"and\", [\"t... | {"split": "train", "index": 15304} |
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, Victoria, Grace, Sebastian, Abigail, Aiden, Logan, Joseph, and Olivia. Aurora asserted: \"Sebastian is a knave\". Victoria was heard saying, ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1971, \"statements\": [[\"lying\", 3], [\"telling-truth\", 7], [\"<=>\", [\"or\", [\"lying\", 0], [\"<=>\", [\"lying\", 7], [\"lying\", 1]]], [\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"lying\", 8]]... | {"split": "train", "index": 15305} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Penelope, Aiden, William, Zoey, Emma, James, Noah, Lily, and Scarlett. Penelope expressed that (Emma is a villain) or (if (Scarlett is a villain or N... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1972, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"or\", [\"lying\", 8], [\"telling-truth\", 6]], [\"telling-truth\", 8]]], [\"<=>\", [\"telling-truth\", 6], [\"not\", [\"and\", [\"telling-truth\", ... | {"split": "train", "index": 15306} |
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, Lily, Sophia, Victoria, Samuel, Riley, Sebastian, Avery, and Mia. \"Victoria is a sinner,\" Jacob declared. Lily told you that (if Avery is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1973, \"statements\": [[\"lying\", 3], [\"or\", [\"->\", [\"telling-truth\", 7], [\"and\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"lying\", 5]], [\"or\", [\"<=>\", [\"and\", [\"telling-truth\", 6], [\"lying\", 1]], [\"and... | {"split": "train", "index": 15307} |
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, Noah, Ava, Aiden, Avery, Emma, Grace, Mia, and William. In a statement by Penelope: \"if ((Emma is a pioneer) and (Ava is a laggard))... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1974, \"statements\": [[\"->\", [\"and\", [\"not\", [\"lying\", 5]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 8]], [\"and\", [\"lying\", 2], [\"lying\", 3]]]], [\"telling-truth\... | {"split": "train", "index": 15308} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Jackson, Harper, Samuel, Noah, Aurora, Matthew, Ava, Amelia, and Luke. Jackson told you that (it is not the case that (Samuel is an altruist or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1975, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 6]]], [\"and\", [\"and\", [\"telling-truth\", 8], [\"lying\", 5]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 5]]]], [\"and\", [... | {"split": "train", "index": 15309} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Sofia, Benjamin, Olivia, Jacob, Owen, James, Sebastian, Michael, and Chloe. Sofia was heard saying, \"(if (Chloe is a saint if and only if Jacob is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1976, \"statements\": [[\"and\", [\"->\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"telling-truth\", 8]], [\"and\", [\"and\", [\"lying\", 7], [\"not\", [\... | {"split": "train", "index": 15310} |
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: Alexander, William, David, Luke, Oliver, Emma, Riley, Amelia, and Michael. \"(if Luke is an angel then (William is a devil)) if and only if (Alexander ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1977, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 1]]]], [\"<=>\", [\"<=>\", [\"not\", ... | {"split": "train", "index": 15311} |
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: Sophia, Riley, Chloe, Penelope, Charlotte, Jack, Jackson, Benjamin, and Luke. \"Benjamin is a pioneer if and only if Riley is a pioneer\" - Sop... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1978, \"statements\": [[\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"and\", [\"not\", [\"not\", [\"lying\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 7]], [\"lying\", 8]]], [\"<=>\", ... | {"split": "train", "index": 15312} |
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: Olivia, Noah, Elizabeth, Benjamin, Samuel, Jackson, Mason, Isabella, and Alexander. \"if (if (Noah is a saint or Isabella is a saint) then (Olivia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1979, \"statements\": [[\"->\", [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 7]]], [\"not\", [\"not\", [\"telling-truth\", 7]]]], [\"->\", [\"or\", [\"... | {"split": "train", "index": 15313} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Daniel, Sebastian, William, Liam, Emma, Jacob, Mason, James, and Abigail. Daniel was heard saying, \"Abigail is a saint or ((Emma is a sinner) or (Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1980, \"statements\": [[\"or\", [\"telling-truth\", 8], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 5]]]], [\"and\", [\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\... | {"split": "train", "index": 15314} |
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: Charlotte, Noah, Mia, Jacob, Matthew, Jackson, Ella, Ethan, and Lily. Charlotte noted, \"if ((Noah is a fool and Ethan is a fool) or (Ethan is a fool and J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1981, \"statements\": [[\"->\", [\"or\", [\"and\", [\"lying\", 1], [\"lying\", 7]], [\"and\", [\"lying\", 7], [\"lying\", 5]]], [\"or\", [\"telling-truth\", 5], [\"lying\", 3]]], [\"->\", [\"or\", [\"and\", [\"telling-truth\",... | {"split": "train", "index": 15315} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Aiden, Jacob, Noah, Penelope, Henry, Sofia, Olivia, Michael, and Evelyn. Aiden remarked, \"if Jacob is a sage then (it is not the case that (Jacob is a foo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1982, \"statements\": [[\"->\", [\"telling-truth\", 1], [\"not\", [\"or\", [\"lying\", 1], [\"lying\", 4]]]], [\"or\", [\"telling-truth\", 3], [\"or\", [\"not\", [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 5], [\"telling-tr... | {"split": "train", "index": 15316} |
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, Isabella, Matthew, Charlotte, Harper, Michael, Abigail, Aurora, and Samuel. Scarlett said, \"if ((Harper is a laggard and Harper is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1983, \"statements\": [[\"->\", [\"and\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 7], [\"->\", [\"<=>\", [\"lying\", ... | {"split": "train", "index": 15317} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Benjamin, Emma, Ava, Amelia, Jackson, Chloe, Alexander, Oliver, and Charlotte. \"Chloe is a saint\" - Benjamin. In a statement by Emma: \"Charlotte i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1984, \"statements\": [[\"telling-truth\", 5], [\"lying\", 8], [\"or\", [\"->\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"telli... | {"split": "train", "index": 15318} |
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: Jack, William, Amelia, Michael, Victoria, Ava, Owen, Chloe, and Lucas. Jack told you that it is not the case that (it is not the case that (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1985, \"statements\": [[\"not\", [\"not\", [\"->\", [\"telling-truth\", 6], [\"lying\", 2]]]], [\"not\", [\"->\", [\"not\", [\"telling-truth\", 7]], [\"not\", [\"lying\", 2]]]], [\"and\", [\"not\", [\"or\", [\"telling-truth\",... | {"split": "train", "index": 15319} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Logan, Isabella, Jacob, Luke, Liam, Noah, Sophia, Mason, and Owen. Logan said that if Jacob is a fool then ((if Liam is a fool then Mason is a fool) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1986, \"statements\": [[\"->\", [\"lying\", 2], [\"<=>\", [\"->\", [\"lying\", 4], [\"lying\", 7]], [\"not\", [\"telling-truth\", 3]]]], [\"and\", [\"and\", [\"telling-truth\", 8], [\"->\", [\"lying\", 0], [\"telling-truth\", ... | {"split": "train", "index": 15320} |
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: Sophia, Olivia, Ella, Grace, Riley, Mia, James, Zoey, and Matthew. Sophia said, \"if (if (James is a knave or Riley is a knight) then (Zoey is a knig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1987, \"statements\": [[\"->\", [\"->\", [\"or\", [\"lying\", 6], [\"telling-truth\", 4]], [\"not\", [\"lying\", 7]]], [\"not\", [\"and\", [\"lying\", 1], [\"lying\", 4]]]], [\"<=>\", [\"->\", [\"<=>\", [\"telling-truth\", 3],... | {"split": "train", "index": 15321} |
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, Penelope, Avery, Abigail, Logan, Emily, Isabella, Aurora, and William. \"Avery is a fool,\" Aria claimed. Penelope remarked, \"Isabella is a fool and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1988, \"statements\": [[\"lying\", 2], [\"and\", [\"lying\", 6], [\"->\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 7]], [\"and\", [\"lying\", 5], [\"telling-truth\", 4]]]], [\"and\", [\"<=>\", [\"->\", [\"lying\", ... | {"split": "train", "index": 15322} |
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, Lily, Benjamin, Chloe, Mason, Scarlett, Ella, Ava, and Zoey. \"Benjamin is a laggard\" - Joseph. \"if (it is not the case that (Ava is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1989, \"statements\": [[\"lying\", 2], [\"->\", [\"not\", [\"<=>\", [\"lying\", 7], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 8]], [\"and\", [\"lying\", 3], [\"lying\", 4]]]], [\"and\", [... | {"split": "train", "index": 15323} |
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, Ella, Harper, Penelope, Sofia, Emma, Mason, Michael, and Emily. According to Henry, \"Emma is an angel\". According to Ella, \"(if (if Emma is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1990, \"statements\": [[\"telling-truth\", 5], [\"<=>\", [\"->\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"and\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"lying\", 0], [\"telling-trut... | {"split": "train", "index": 15324} |
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, Victoria, Luke, Ella, David, Evelyn, Lily, Jack, and Aiden. \"if ((Evelyn is a villain or Aiden is a hero) and (Luke is a hero if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1991, \"statements\": [[\"->\", [\"and\", [\"or\", [\"lying\", 5], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 7]]], [\"telling-truth\", 7]], [\"or\", [\"not\", [\"<=>\", [\"lying\", 0], [\"t... | {"split": "train", "index": 15325} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Mia, Luke, Sebastian, Emma, Noah, Aurora, Ella, Charlotte, and Benjamin. Mia told you that if Benjamin is a sinner then (Noah is a sinner or (if Benj... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1992, \"statements\": [[\"->\", [\"lying\", 8], [\"or\", [\"lying\", 4], [\"->\", [\"telling-truth\", 8], [\"lying\", 5]]]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 7]], [\"->\", [\"lying\", 7], [\"->\", [\"and... | {"split": "train", "index": 15326} |
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, Jackson, Ava, Ella, Noah, Samuel, Sebastian, Penelope, and Aurora. Avery said, \"((Avery is a laggard) or (Ella is a pioneer)) and (Ella... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1993, \"statements\": [[\"and\", [\"or\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"lying\", 3]]], [\"<=>\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 7]]]], [\"telling-truth\", 6], [\... | {"split": "train", "index": 15327} |
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, Aiden, Zoey, Olivia, David, Charlotte, Avery, Matthew, and Chloe. \"((Avery is a knight and Charlotte is a knave) or (if Matthew is a knave the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1994, \"statements\": [[\"and\", [\"or\", [\"and\", [\"telling-truth\", 6], [\"lying\", 5]], [\"->\", [\"lying\", 7], [\"lying\", 5]]], [\"lying\", 4]], [\"<=>\", [\"and\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"tellin... | {"split": "train", "index": 15328} |
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: Emily, Penelope, Oliver, Riley, James, Scarlett, Ava, Aurora, and Owen. Emily remarked, \"((Oliver is a saint or Owen is a sinner) or (if Owen is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1995, \"statements\": [[\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 8]], [\"->\", [\"telling-truth\", 8], [\"lying\", 8]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"tel... | {"split": "train", "index": 15329} |
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, Sebastian, Ava, Abigail, Lily, William, Olivia, Charlotte, and Evelyn. Joseph said that Lily is a sage. \"Joseph is a sage\" - Sebastian. \"(if (if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1996, \"statements\": [[\"telling-truth\", 4], [\"telling-truth\", 0], [\"<=>\", [\"->\", [\"->\", [\"lying\", 0], [\"lying\", 7]], [\"or\", [\"lying\", 7], [\"telling-truth\", 8]]], [\"not\", [\"telling-truth\", 4]]], [\"not\... | {"split": "train", "index": 15330} |
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, Abigail, Grace, Olivia, Amelia, Scarlett, Ava, Isabella, and Lucas. James said that if (Olivia is a hero if and only if (Olivia is a villain o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1997, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 3], [\"or\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"not\", [\"lying\", 4]]], [\"and\", [\"->\", [\"telling-truth\", 5], [\"->\", [\"telling-truth\", 4], [\"ly... | {"split": "train", "index": 15331} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Charlotte, Mia, Benjamin, Alexander, Isabella, Sophia, Jack, Aria, and Elizabeth. In Charlotte's words: \"Sophia is a knight\". Mia commented, \"((Al... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1998, \"statements\": [[\"not\", [\"lying\", 5]], [\"or\", [\"or\", [\"and\", [\"lying\", 3], [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 8]]], [\"lying\", 5]], [\"->\", [\"telling-truth\", 7], [\"->\", [\"n... | {"split": "train", "index": 15332} |
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: Lily, Olivia, Noah, Oliver, Mason, Jackson, Lucas, Victoria, and Owen. Lily commented, \"((Lucas is an angel) if and only if (if Olivia is a devil then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1999, \"statements\": [[\"and\", [\"<=>\", [\"not\", [\"lying\", 6]], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"lying\", 3]], [\"and\", [\"and\", [\"not\", [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 3],... | {"split": "train", "index": 15333} |
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, Logan, Sofia, Evelyn, Matthew, Aurora, David, Aria, and Emma. Joseph stated, \"it is not the case that ((Sofia is a sage and Joseph is a sage) or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2000, \"statements\": [[\"not\", [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"->\", [\"lying\", 1], [\"telling-truth\", 2]]]], [\"->\", [\"->\", [\"lying\", 2], [\"or\", [\"lying\", 4], [\"lying\", 7]... | {"split": "train", "index": 15334} |
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, David, Ethan, Sebastian, James, Penelope, Samuel, Olivia, and Elizabeth. \"((Penelope is an angel or Sebastian is a devil) if and only if (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2001, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 5], [\"lying\", 3]], [\"->\", [\"lying\", 5], [\"telling-truth\", 5]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"not\", [\"telling-tru... | {"split": "train", "index": 15335} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Aurora, Jackson, Alexander, Ava, Sebastian, Daniel, Henry, Mason, and Charlotte. \"((Sebastian is an altruist if and only if Alexander is an eg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2002, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"<=>\", [\"lying\", 5], [\"telling-truth\", 4]]], [\"<=>\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 8], [\"telling-tru... | {"split": "train", "index": 15336} |
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, Jackson, Michael, Evelyn, Jack, Sebastian, Chloe, Aiden, and Benjamin. Ella remarked, \"(if (Sebastian is a hero) then (if Jackson is a villain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2003, \"statements\": [[\"and\", [\"->\", [\"not\", [\"lying\", 5]], [\"->\", [\"lying\", 1], [\"telling-truth\", 8]]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"telling-truth\", 4], [\"->\", [\"not\", [\"lying\", 2]], [\"or\",... | {"split": "train", "index": 15337} |
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, Chloe, Jackson, Logan, David, Ava, Amelia, Daniel, and Aurora. \"((Aurora is an angel and Jackson is an angel) or (Daniel is an angel or Logan i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2004, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 7], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"telling-trut... | {"split": "train", "index": 15338} |
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, Ella, Mason, Avery, Jack, Joseph, Emma, Logan, and Chloe. Harper told you that if (it is not the case that (Chloe is a saint)) then ((Logan i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2005, \"statements\": [[\"->\", [\"not\", [\"not\", [\"lying\", 8]]], [\"or\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 2]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 7]]]], [\"not\", [\"not\", [\"telling-truth... | {"split": "train", "index": 15339} |
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, Sofia, Henry, Amelia, Joseph, Daniel, Emily, and William. Avery said, \"Amelia is a sage.\" In Elizabeth's words: \"((Avery is a fool and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2006, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth\", 5]], [\"lying\", 2]], [\"or\", [\"telling-truth\", 3], [\"and\", [\"lying\", 2], [\"telling-truth\", 4]]]], [\"te... | {"split": "train", "index": 15340} |
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: Joseph, Sebastian, Lily, Abigail, Mason, Sofia, Mia, Aria, and Jacob. \"Sofia is an altruist,\" Joseph declared. Sebastian noted, \"Mia is an e... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2007, \"statements\": [[\"telling-truth\", 5], [\"lying\", 6], [\"telling-truth\", 1], [\"->\", [\"->\", [\"or\", [\"lying\", 4], [\"lying\", 7]], [\"and\", [\"lying\", 1], [\"telling-truth\", 6]]], [\"or\", [\"not\", [\"lying... | {"split": "train", "index": 15341} |
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: Mia, Jacob, Daniel, Oliver, Scarlett, Ethan, David, Lucas, and Emily. In a statement by Mia: \"(if (David is an angel or Scarlett is an angel) then (Em... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2008, \"statements\": [[\"or\", [\"->\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 8], [\"lying\", 6]]], [\"or\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 7]], [\"->\", [\"lyi... | {"split": "train", "index": 15342} |
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: Lucas, Samuel, Amelia, Aria, Riley, Penelope, Mason, Elizabeth, and Jacob. Lucas noted, \"((Amelia is an altruist if and only if Mason is an eg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2009, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 6]], [\"not\", [\"lying\", 2]]], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", [\"->\", [\... | {"split": "train", "index": 15343} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Mia, Harper, Sofia, Luke, Lily, Lucas, Emily, Daniel, and Victoria. \"(it is not the case that (Sofia is an altruist if and only if Daniel is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2010, \"statements\": [[\"or\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 7]]], [\"<=>\", [\"->\", [\"telling-truth\", 7], [\"lying\", 3]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 5]]]], [\"and\", [... | {"split": "train", "index": 15344} |
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, Jacob, Zoey, Logan, Lucas, Oliver, Ethan, Aria, and Ella. \"Ella is a villain if and only if ((Ella is a villain) or (Ethan is a hero if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2011, \"statements\": [[\"<=>\", [\"lying\", 8], [\"or\", [\"not\", [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 7]]]], [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 7]], [\"and\", [\"<=>\",... | {"split": "train", "index": 15345} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Emma, Avery, Mason, Grace, Liam, Aria, Sebastian, Daniel, and Benjamin. In a statement by Emma: \"((Grace is a knight) or (Aria is a knight if and on... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2012, \"statements\": [[\"<=>\", [\"or\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 5]]], [\"or\", [\"lying\", 7], [\"->\", [\"lying\", 7], [\"lying\", 5]]]], [\"->\", [\"<=>\", [\"and\", [\"lyin... | {"split": "train", "index": 15346} |
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: Amelia, Daniel, Elizabeth, Luke, Jackson, David, Lily, Olivia, and Jacob. \"(it is not the case that (Luke is a knave and David is a knave)) or ((Ame... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2013, \"statements\": [[\"or\", [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 5]]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 5]], [\"or\", [\"lying\", 2], [\"telling-truth\", 0]]]], [\"and\", [\"and\", ... | {"split": "train", "index": 15347} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Ethan, Grace, Samuel, Abigail, Noah, Logan, Sophia, Jackson, and Sofia. Ethan stated, \"((Jackson is an egoist if and only if Ethan is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2014, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 2], [\"lying\", 7]]], [\"and\", [\"->\", [\"telling-truth\", 6], [\"lying\", 3]], [\"->\", [\"telling-t... | {"split": "train", "index": 15348} |
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: Ella, Logan, Chloe, Riley, Elizabeth, Abigail, Aiden, Lily, and Liam. \"(it is not the case that (if Riley is an egoist then Logan is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2015, \"statements\": [[\"and\", [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"lying\", 8]]]], [\"and\", [\"->\", [\"->\", [\"lyin... | {"split": "train", "index": 15349} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Scarlett, Sophia, Riley, Lucas, Olivia, Liam, James, Penelope, and Victoria. Scarlett asserted: \"James is a knight\". \"((if Victoria is a knave the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2016, \"statements\": [[\"not\", [\"lying\", 6]], [\"or\", [\"and\", [\"->\", [\"lying\", 8], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 0]]], [... | {"split": "train", "index": 15350} |
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: Sophia, Owen, William, Joseph, Isabella, Avery, Amelia, Evelyn, and Samuel. \"(it is not the case that (Avery is a laggard and Isabella is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2017, \"statements\": [[\"or\", [\"not\", [\"and\", [\"lying\", 5], [\"telling-truth\", 4]]], [\"->\", [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 5]]]], [\"not\", [\"lying\", 6]], [\"not\", [... | {"split": "train", "index": 15351} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Emma, Noah, Sophia, Aria, Aiden, Grace, Matthew, Abigail, and Oliver. Emma said, \"((if Emma is a hero then Abigail is a villain) or (Aria is a villa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2018, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 7]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"telling-truth\", 7], [\"lying\", 5]]]], [\"telling-truth\",... | {"split": "train", "index": 15352} |
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: Luke, Scarlett, Emma, Avery, Ethan, Alexander, Riley, Mason, and Samuel. Luke noted, \"Riley is an altruist\". In Scarlett's words: \"Avery is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2019, \"statements\": [[\"telling-truth\", 6], [\"lying\", 3], [\"lying\", 3], [\"<=>\", [\"lying\", 2], [\"lying\", 6]], [\"not\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 5]]]], [\"not\", [\"->\", [\"not\", [\"... | {"split": "train", "index": 15353} |
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: Oliver, Emily, Aria, Charlotte, Daniel, Luke, James, Joseph, and Michael. \"(if (Michael is a hero or Michael is a villain) then Michael is a villain... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2020, \"statements\": [[\"or\", [\"->\", [\"or\", [\"telling-truth\", 8], [\"lying\", 8]], [\"lying\", 8]], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"not\", [\"not\", [\"lying\", 2]]]], [\"not\", [\"not\", [\"lying\", 0... | {"split": "train", "index": 15354} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: David, Emily, Lily, Olivia, Aria, Sebastian, Henry, Ava, and Harper. \"(Ava is a knight if and only if (Ava is a knight and Emily is a knight)) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2021, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 7], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]]], [\"and\", [\"->\", [\"<=>\", [\"lying... | {"split": "train", "index": 15355} |
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: Avery, Mia, Abigail, Oliver, Victoria, Isabella, Henry, Lily, and Sebastian. Avery asserted: \"it is not the case that ((Mia is a knave) or (Victoria... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2022, \"statements\": [[\"not\", [\"or\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 4]]]], [\"telling-truth\", 8], [\"or\", [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 5]], [\"not\", [\"telli... | {"split": "train", "index": 15356} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Samuel, Oliver, Scarlett, Aurora, Logan, Joseph, Harper, Luke, and Elizabeth. \"Elizabeth is a knight or Oliver is a knave\" - Samuel. Oliver comment... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2023, \"statements\": [[\"or\", [\"telling-truth\", 8], [\"lying\", 1]], [\"->\", [\"telling-truth\", 5], [\"not\", [\"and\", [\"lying\", 8], [\"telling-truth\", 8]]]], [\"or\", [\"->\", [\"or\", [\"lying\", 8], [\"lying\", 7]... | {"split": "train", "index": 15357} |
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: Liam, David, Aria, Sofia, Olivia, Grace, Emma, James, and William. Liam remarked, \"if ((if David is an angel then James is a devil) or James is a devi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2024, \"statements\": [[\"->\", [\"or\", [\"->\", [\"telling-truth\", 1], [\"lying\", 7]], [\"lying\", 7]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1]], [\"telling-truth\", 5]]], [\"not\", [\"->\", [\"not\", [\"... | {"split": "train", "index": 15358} |
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: Ava, Matthew, Benjamin, Noah, Alexander, Aria, Joseph, Olivia, and Scarlett. In a statement by Ava: \"(if (Joseph is an egoist and Alexander is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2025, \"statements\": [[\"<=>\", [\"->\", [\"and\", [\"lying\", 6], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 7]]], [\"and\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 0]], [\"<=>\", [\"telling-... | {"split": "train", "index": 15359} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Matthew, Penelope, Ava, Liam, Emily, David, Jack, James, and Owen. According to Matthew, \"if ((if Jack is a hero then Penelope is a villain) and (Em... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2026, \"statements\": [[\"->\", [\"and\", [\"->\", [\"telling-truth\", 6], [\"lying\", 1]], [\"and\", [\"telling-truth\", 4], [\"lying\", 1]]], [\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 4]]]], ... | {"split": "train", "index": 15360} |
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: Benjamin, Evelyn, Lucas, Liam, Jack, Emily, Lily, Ava, and Sofia. Benjamin said that it is not the case that (Emily is a sage and (Sofia is a sage or Jack ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2027, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 5], [\"or\", [\"telling-truth\", 8], [\"lying\", 4]]]], [\"not\", [\"not\", [\"telling-truth\", 6]]], [\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 4], [\"telli... | {"split": "train", "index": 15361} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Jack, Daniel, Mia, Avery, Penelope, Isabella, David, Riley, and Harper. Jack was heard saying, \"(Avery is a fool or (Harper is a sage or Penelope is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2028, \"statements\": [[\"or\", [\"or\", [\"lying\", 3], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 7]]]], [\"->\", [\"and\", [\"and\", [\"telling-... | {"split": "train", "index": 15362} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Lucas, Charlotte, Amelia, Mia, Oliver, Noah, Penelope, Liam, and Zoey. According to Lucas, \"((Penelope is a pioneer and Amelia is a pioneer) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2029, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 8]]], [\"<=>\", [\"lying\", 8], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]]], [\... | {"split": "train", "index": 15363} |
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: Mason, Noah, Joseph, Lily, Avery, Luke, Aria, Victoria, and Alexander. In a statement by Mason: \"Noah is a saint\". Noah was heard saying, \"if (if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2030, \"statements\": [[\"not\", [\"lying\", 1]], [\"->\", [\"->\", [\"->\", [\"lying\", 7], [\"telling-truth\", 1]], [\"and\", [\"lying\", 8], [\"telling-truth\", 5]]], [\"or\", [\"or\", [\"lying\", 8], [\"telling-truth\", 5]... | {"split": "train", "index": 15364} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Michael, Emma, Jack, Samuel, Benjamin, Scarlett, Joseph, Mason, and Elizabeth. Michael asserted: \"((Mason is a pioneer and Elizabeth is a lagg... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2031, \"statements\": [[\"or\", [\"or\", [\"and\", [\"telling-truth\", 7], [\"lying\", 8]], [\"not\", [\"telling-truth\", 6]]], [\"and\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 8]], [\"and\", [\"lying\", 1], [\"t... | {"split": "train", "index": 15365} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Abigail, Jack, Charlotte, William, Avery, Chloe, Penelope, Lucas, and Benjamin. \"(it is not the case that (if William is a sinner then Chloe is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2032, \"statements\": [[\"and\", [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 5]]], [\"<=>\", [\"->\", [\"telling-truth\", 7], [\"lying\", 8]], [\"->\", [\"lying\", 5], [\"lying\", 6]]]], [\"not\", [\"->\", [\"<=>\",... | {"split": "train", "index": 15366} |
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, Zoey, Evelyn, Elizabeth, Ella, Noah, Daniel, Ethan, and Michael. Luke stated, \"it is not the case that ((Michael is a fool and Michael is a sage) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2033, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"lying\", 8], [\"telling-truth\", 8]], [\"telling-truth\", 1]]], [\"lying\", 5], [\"and\", [\"->\", [\"or\", [\"lying\", 7], [\"lying\", 3]], [\"and\", [\"lying\", 5], [\"... | {"split": "train", "index": 15367} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Luke, David, Grace, Charlotte, Lucas, Chloe, Owen, Harper, and Aiden. Luke commented, \"Harper is a pioneer\". \"((Charlotte is a pioneer if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2034, \"statements\": [[\"telling-truth\", 7], [\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"not\", [\"lying\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 2]]]], [\"->\", [\... | {"split": "train", "index": 15368} |
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: Amelia, Harper, Ava, Riley, Victoria, Charlotte, Noah, Ella, and Samuel. Amelia asserted: \"if (if (Ava is a laggard or Charlotte is a laggard)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2035, \"statements\": [[\"->\", [\"->\", [\"or\", [\"lying\", 2], [\"lying\", 5]], [\"->\", [\"lying\", 6], [\"lying\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 6]], [\"lying\", 2]]], [\"telling-tru... | {"split": "train", "index": 15369} |
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, Benjamin, Ethan, Matthew, Logan, Liam, Charlotte, Riley, and Sebastian. Alexander stated, \"it is not the case that ((if Alexander i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2036, \"statements\": [[\"not\", [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"telling-truth\", 5]]]], [\"telling-truth\", 5], [\"not\", [\"or\", [\"not\", [\"lying\", 1]], [\"telling-truth\", 0]]], ... | {"split": "train", "index": 15370} |
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, Benjamin, William, Noah, Riley, Lily, Daniel, Sofia, and Mason. In a statement by Zoey: \"if (it is not the case that (Noah is an angel and Riley... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2037, \"statements\": [[\"->\", [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"lying\", 5], [\"telling-truth\", 4]], [\"->\", [\"lying\", 3], [\"telling-truth\", 6]]]], [\"not\", [... | {"split": "train", "index": 15371} |
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: Noah, Aiden, Abigail, Olivia, Lucas, Charlotte, Ethan, Amelia, and Chloe. Noah asserted: \"if (if Noah is a sage then Abigail is a sage) then (it is not th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2038, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"not\", [\"or\", [\"lying\", 7], [\"telling-truth\", 7]]]], [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"->\", [\"or\", [\"telling-... | {"split": "train", "index": 15372} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Alexander, Ella, Chloe, Ethan, Emma, Oliver, Mia, Owen, and Noah. In Alexander's words: \"(Ethan is a villain and Oliver is a hero) if and only if ((... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2039, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 5]], [\"<=>\", [\"and\", [\"telling-truth\", 7], [\"lying\", 1]], [\"not\", [\"telling-truth\", 4]]]], [\"or\", [\"<=>\", [\"not\", [\"telling-trut... | {"split": "train", "index": 15373} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Alexander, Isabella, Penelope, Sofia, Sebastian, Chloe, Ethan, Lily, and Charlotte. \"(it is not the case that (Sofia is a knave)) if and only if (Pe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2040, \"statements\": [[\"<=>\", [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"lying\", 2]]], [\"or\", [\"not\", [\"<=>\", [\"lying\", 0], [\"lying\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 4], [\"lying\", 0... | {"split": "train", "index": 15374} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Daniel, Mia, Michael, Aiden, Zoey, Luke, Emily, Ava, and Owen. In a statement by Daniel: \"Aiden is a saint\". Mia told you that Daniel is a saint. M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2041, \"statements\": [[\"telling-truth\", 3], [\"telling-truth\", 0], [\"->\", [\"lying\", 0], [\"not\", [\"lying\", 5]]], [\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\", [\"lying\", 7]]... | {"split": "train", "index": 15375} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Matthew, Michael, Harper, David, Chloe, Mia, Penelope, Joseph, and Lily. \"((David is a sinner if and only if Joseph is a saint) if and only if (if M... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2042, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 7]], [\"->\", [\"lying\", 5], [\"lying\", 8]]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 7], [\"lying\", 4]]]],... | {"split": "train", "index": 15376} |
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, Elizabeth, Aurora, Samuel, Ava, Jackson, Grace, and Ethan. \"Ethan is a pioneer,\" Chloe mentioned. Amelia was heard saying, \"i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2043, \"statements\": [[\"telling-truth\", 8], [\"->\", [\"->\", [\"telling-truth\", 3], [\"or\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\... | {"split": "train", "index": 15377} |
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: Noah, Isabella, Abigail, Olivia, Matthew, Aurora, Mia, Ella, and Avery. Noah expressed that if (if (Noah is a sage and Mia is a sage) then (if Ella is a fo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2044, \"statements\": [[\"->\", [\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 6]], [\"->\", [\"lying\", 7], [\"telling-truth\", 8]]], [\"->\", [\"not\", [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 4... | {"split": "train", "index": 15378} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Emma, Sophia, Jackson, Aiden, Zoey, Isabella, Aurora, Victoria, and Benjamin. \"((Jackson is a knave if and only if Victoria is a knave) and (Aiden i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2045, \"statements\": [[\"and\", [\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 7]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 5]]], [\"and\", [\"or\", [\"telling-truth\", 6], [\"lying\", 1]], [\"not\", [\"telling-... | {"split": "train", "index": 15379} |
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, Harper, Aria, Abigail, Penelope, Emma, Daniel, Mia, and Logan. Lily expressed that it is not the case that ((Abigail is a sinner or Penelope is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2046, \"statements\": [[\"not\", [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", 3]]]], [\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 5]], [\"and\", ... | {"split": "train", "index": 15380} |
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: Olivia, Mia, Abigail, Noah, Jackson, Joseph, Daniel, Zoey, and Oliver. Olivia expressed that (if (Mia is a saint and Zoey is a sinner) then (Joseph i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2047, \"statements\": [[\"or\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 7]], [\"and\", [\"lying\", 5], [\"lying\", 6]]], [\"->\", [\"lying\", 3], [\"->\", [\"telling-truth\", 0], [\"lying\", 8]]]], [\"telling-tr... | {"split": "train", "index": 15381} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Noah, Lucas, James, Olivia, Jack, David, Joseph, Henry, and Isabella. Noah expressed that Noah is a saint. In Lucas's words: \"Noah is a saint\". Jam... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2048, \"statements\": [[\"telling-truth\", 0], [\"telling-truth\", 0], [\"lying\", 0], [\"or\", [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"or\", [\"tellin... | {"split": "train", "index": 15382} |
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, Mason, Zoey, William, Henry, Charlotte, Harper, Abigail, and Ella. Lily commented, \"((if Abigail is a knave then Mason is a knight) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2049, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"lying\", 7], [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 6]]], [\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"lying\", 3]]]... | {"split": "train", "index": 15383} |
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: Liam, Lily, Ava, Alexander, David, Jack, Chloe, Mia, and Victoria. \"(it is not the case that (Jack is an angel if and only if Mia is a devil)) and ((A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2050, \"statements\": [[\"and\", [\"not\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 7]]], [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 2]], [\"lying\", 5]]], [\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 2],... | {"split": "train", "index": 15384} |
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, Jack, Samuel, William, Jackson, Ella, Scarlett, Lucas, and Riley. Chloe asserted: \"if ((Ella is a sage) or (if Samuel is a sage then Scarlett is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2051, \"statements\": [[\"->\", [\"or\", [\"not\", [\"lying\", 5]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 6]]], [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 6]], [\"->\", [\"telling-truth\", 0], [\"telling-trut... | {"split": "train", "index": 15385} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Chloe, Luke, Lily, Daniel, Lucas, Sophia, Benjamin, Sebastian, and Victoria. Chloe stated, \"Benjamin is a devil\". In Luke's words: \"((if Benjamin is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2052, \"statements\": [[\"not\", [\"telling-truth\", 6]], [\"<=>\", [\"and\", [\"->\", [\"lying\", 6], [\"lying\", 3]], [\"lying\", 7]], [\"or\", [\"lying\", 5], [\"->\", [\"telling-truth\", 2], [\"lying\", 6]]]], [\"and\", [\... | {"split": "train", "index": 15386} |
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, Harper, Logan, Sophia, Chloe, Abigail, Grace, Samuel, and Michael. \"it is not the case that (it is not the case that (if Abigail is a fool then G... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2053, \"statements\": [[\"not\", [\"not\", [\"->\", [\"lying\", 5], [\"lying\", 6]]]], [\"and\", [\"->\", [\"lying\", 6], [\"or\", [\"telling-truth\", 7], [\"lying\", 4]]], [\"->\", [\"not\", [\"lying\", 2]], [\"lying\", 2]]],... | {"split": "train", "index": 15387} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: David, Isabella, William, Samuel, Jack, Jacob, Sebastian, Sofia, and Chloe. \"((Sofia is a sinner or Sofia is a saint) or (if Isabella is a saint the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2054, \"statements\": [[\"or\", [\"or\", [\"or\", [\"lying\", 7], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 6]], [\"<=>\... | {"split": "train", "index": 15388} |
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: Jackson, Grace, Ava, William, James, Sebastian, Noah, Abigail, and Victoria. In a statement by Jackson: \"Noah is a laggard\". \"Victoria is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2055, \"statements\": [[\"not\", [\"telling-truth\", 6]], [\"telling-truth\", 8], [\"<=>\", [\"->\", [\"->\", [\"lying\", 5], [\"lying\", 7]], [\"lying\", 7]], [\"->\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 5]], [\"and... | {"split": "train", "index": 15389} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Owen, William, Ethan, Logan, James, Noah, David, Avery, and Aiden. Owen was heard saying, \"((Noah is a saint if and only if Aiden is a saint) if and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2056, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 8]], [\"and\", [\"lying\", 3], [\"lying\", 5]]], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"lying\", 5], [\"lying\"... | {"split": "train", "index": 15390} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Chloe, Joseph, Emily, Liam, Oliver, William, Sebastian, Zoey, and Lucas. Chloe expressed that Emily is a devil. Joseph told you that it is not the case... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2057, \"statements\": [[\"lying\", 2], [\"not\", [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 6]]]], [\"<=>\", [\"not\", [\"and\", [\"lying\", 3], [\"lying\", 8]]], ... | {"split": "train", "index": 15391} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Jackson, David, Elizabeth, Owen, Joseph, Sebastian, Ava, Matthew, and Emma. As Jackson put it, \"Elizabeth is a hero\". David commented, \"if (if (Da... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2058, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"lying\", 7]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"lying\", 5]]], [\"or\", ... | {"split": "train", "index": 15392} |
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, Abigail, Olivia, Sofia, Lucas, Mason, Alexander, Amelia, and Daniel. Luke said, \"((Alexander is a laggard) and (Lucas is a laggard or Ab... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2059, \"statements\": [[\"and\", [\"and\", [\"not\", [\"telling-truth\", 6]], [\"or\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"telling-truth\", 6]], [\"lying\", 8], [\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"... | {"split": "train", "index": 15393} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Oliver, James, Benjamin, Luke, Joseph, Amelia, David, Samuel, and Evelyn. \"if (Samuel is an angel if and only if (Evelyn is an angel if and only if Ja... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2060, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 7], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"lying\", 3], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 7], [\"lying... | {"split": "train", "index": 15394} |
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, Jackson, Victoria, Ava, Liam, Owen, Zoey, Daniel, and Amelia. \"((Jackson is a villain or Zoey is a hero) if and only if (Zoey is a hero or Li... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2061, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"lying\", 1], [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 6], [\"lying\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 5], [\"lying\", 6]]]], [\"or\", [\"<=>\", [... | {"split": "train", "index": 15395} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Benjamin, Abigail, Sofia, Mason, Michael, Aria, Lucas, Amelia, and Scarlett. Benjamin said, \"it is not the case that (it is not the case that (Scarl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2062, \"statements\": [[\"not\", [\"not\", [\"or\", [\"telling-truth\", 8], [\"lying\", 6]]]], [\"->\", [\"and\", [\"or\", [\"lying\", 7], [\"telling-truth\", 0]], [\"and\", [\"lying\", 2], [\"telling-truth\", 6]]], [\"->\", [... | {"split": "train", "index": 15396} |
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, James, Mason, Abigail, Ella, Aria, Aurora, Michael, and Lily. Harper asserted: \"Abigail is an egoist and (if (Ella is an altruist and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2063, \"statements\": [[\"and\", [\"lying\", 3], [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"and\", [\"telling-truth\", 5], [\"lying\", 8]]]], [\"telling-truth\", 8], [\"not\", [\"<=>\", [\"not\", [\"lying\"... | {"split": "train", "index": 15397} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Luke, Abigail, Jack, Lily, Zoey, Henry, Alexander, Amelia, and Logan. Luke noted, \"if (if (if Abigail is a devil then Zoey is a devil) then (Alexander... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2064, \"statements\": [[\"->\", [\"->\", [\"->\", [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 7]]], [\"lying\", 3]], [\"and\", [\"not\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 7... | {"split": "train", "index": 15398} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Victoria, Daniel, Ella, Lucas, Avery, Owen, Sebastian, Sofia, and Evelyn. Victoria said that it is not the case that (if (Owen is a saint and Lucas i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 2065, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 3]], [\"telling-truth\", 6]]], [\"->\", [\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 7]], [\"and\", [\"telling-truth\", ... | {"split": "train", "index": 15399} |
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