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 altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Jacob, Sebastian, Amelia, Jack, Logan, Aria, Grace, Charlotte, and Harper. \"(Grace is an altruist if and only if Jack is an egoist) or (Harper... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1432, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 3]], [\"and\", [\"telling-truth\", 8], [\"lying\", 8]]], [\"->\", [\"telling-truth\", 1], [\"not\", [\"telling-truth\", 7]]], [\"and\", [\"and\", [\... | {"split": "train", "index": 8100} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Mason, Sebastian, Lily, William, Oliver, Benjamin, Isabella, Mia, and Sophia. As Mason put it, \"if (Lily is a knight or Sophia is a knave) then (Oli... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1433, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 8]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"lying\", 0], [\"telling-truth\", 6]], [\"->\", [\"lying\", 3], [\"tell... | {"split": "train", "index": 8101} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Mason, Ella, Henry, Sebastian, Benjamin, Scarlett, Mia, Joseph, and Jackson. In a statement by Mason: \"Joseph is a laggard or (Sebastian is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1434, \"statements\": [[\"or\", [\"lying\", 7], [\"or\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 7]], [\"and\", [\"lying\", 7], [\"lying\", 2]]], [\"lying\", 1], [\"->\", [\"<=... | {"split": "train", "index": 8102} |
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, Ethan, Zoey, Victoria, Emily, Aria, Ella, Jack, and Samuel. Olivia was heard saying, \"Victoria is a pioneer\". Ethan noted, \"if Zoey ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1435, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"lying\", 2], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 8]]], [\"not\", [\"not\", [\"lying\", 8]]], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"lying\",... | {"split": "train", "index": 8103} |
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, Luke, Elizabeth, Chloe, Aria, Emma, Henry, Zoey, and Harper. In a statement by Penelope: \"if (Emma is a fool or Penelope is a sage) then (Chloe ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1436, \"statements\": [[\"->\", [\"or\", [\"lying\", 5], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 3], [\"lying\", 1]]], [\"and\", [\"and\", [\"lying\", 6], [\"telling-truth\", 3]], [\"telling-truth\", 4]], [\"telling-tru... | {"split": "train", "index": 8104} |
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, Elizabeth, Samuel, Liam, Jack, Sofia, Scarlett, Sebastian, and Harper. Logan told you that it is not the case that (Scarlett is a fool if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1437, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 6], [\"telling-truth\", 8]]], [\"not\", [\"<=>\", [\"lying\", 0], [\"lying\", 6]]], [\"not\", [\"not\", [\"lying\", 5]]], [\"telling-truth\", 1], [\"and\", [\"telling-trut... | {"split": "train", "index": 8105} |
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, Grace, Ethan, Liam, Jack, David, Michael, Riley, and Abigail. Jackson asserted: \"Michael is a knight\". \"if (Abigail is a knight and Jacks... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1438, \"statements\": [[\"not\", [\"lying\", 6]], [\"->\", [\"and\", [\"telling-truth\", 8], [\"lying\", 0]], [\"telling-truth\", 6]], [\"not\", [\"->\", [\"lying\", 8], [\"lying\", 5]]], [\"->\", [\"or\", [\"telling-truth\", ... | {"split": "train", "index": 8106} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Ava, David, Owen, Emma, Jackson, Michael, Abigail, Ella, and Elizabeth. Ava remarked, \"Emma is a fool\". As David put it, \"Ava is a fool if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1439, \"statements\": [[\"lying\", 3], [\"<=>\", [\"lying\", 0], [\"->\", [\"lying\", 4], [\"telling-truth\", 5]]], [\"and\", [\"and\", [\"lying\", 8], [\"telling-truth\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 3]]]... | {"split": "train", "index": 8107} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Isabella, Jackson, Chloe, Joseph, Charlotte, Benjamin, Logan, Zoey, and Michael. Isabella expressed that Charlotte is a pioneer and (Chloe is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1440, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"not\", [\"lying\", 2]]], [\"->\", [\"and\", [\"lying\", 8], [\"lying\", 6]], [\"telling-truth\", 8]], [\"or\", [\"and\", [\"lying\", 0], [\"telling-truth\", 0]], [\"o... | {"split": "train", "index": 8108} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Ethan, Mia, Sebastian, Aria, Chloe, Luke, Oliver, Henry, and Victoria. Ethan said, \"Mia is a knight if and only if (Oliver is a knight or Chloe is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1441, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 6], [\"lying\", 4]]], [\"->\", [\"not\", [\"lying\", 2]], [\"not\", [\"lying\", 8]]], [\"or\", [\"lying\", 7], [\"telling-truth\", 1]], [\"<... | {"split": "train", "index": 8109} |
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, Chloe, Noah, Matthew, Isabella, David, Scarlett, Lily, and Ella. Mason commented, \"(Isabella is an egoist) or (David is an altruist)\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1442, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"lying\", 5]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"lying\", 1]], [\"not\", [\"and\", [\"... | {"split": "train", "index": 8110} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Scarlett, Henry, Owen, Daniel, Jacob, Alexander, Riley, Aria, and Charlotte. Scarlett asserted: \"if (Charlotte is a sinner or Jacob is a sinner) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1443, \"statements\": [[\"->\", [\"or\", [\"lying\", 8], [\"lying\", 4]], [\"->\", [\"lying\", 8], [\"telling-truth\", 3]]], [\"lying\", 5], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 5], [\"tell... | {"split": "train", "index": 8111} |
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, Samuel, Alexander, Isabella, Jacob, Grace, William, Owen, and Logan. In a statement by Henry: \"(William is a laggard and Jacob is a lag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1444, \"statements\": [[\"and\", [\"and\", [\"lying\", 6], [\"lying\", 4]], [\"->\", [\"telling-truth\", 1], [\"lying\", 6]]], [\"<=>\", [\"not\", [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\... | {"split": "train", "index": 8112} |
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, Benjamin, James, Aurora, Alexander, Isabella, Sebastian, Lucas, and Ava. Abigail commented, \"(Sebastian is an angel and Alexander is a devil)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1445, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 6], [\"lying\", 4]], [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 1]]], [\"telling-truth\", 3], [\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 6]], [... | {"split": "train", "index": 8113} |
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: Amelia, Noah, Jacob, Penelope, Isabella, David, Ethan, Oliver, and Ava. Amelia stated, \"if David is a devil then (Noah is an angel if and only if Noah... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1446, \"statements\": [[\"->\", [\"lying\", 5], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 5], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 6]]], [\"and... | {"split": "train", "index": 8114} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Ava, Aurora, Isabella, Lucas, Sophia, Logan, Jack, Benjamin, and Sebastian. \"Lucas is a fool if and only if (Sebastian is a fool or Aurora is a sage),\" A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1447, \"statements\": [[\"<=>\", [\"lying\", 3], [\"or\", [\"lying\", 8], [\"telling-truth\", 1]]], [\"->\", [\"lying\", 0], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 6]]], [\"->\", [\"->\", [\"telling-truth\", 7],... | {"split": "train", "index": 8115} |
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, Owen, William, Logan, David, Ava, Amelia, Ella, and Jack. In Noah's words: \"Jack is a sage and (David is a sage)\". Owen remarked, \"(David is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1448, \"statements\": [[\"and\", [\"telling-truth\", 8], [\"not\", [\"lying\", 4]]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 5], [\"lying\", 6]]], [\"<=>\", [\"telling-... | {"split": "train", "index": 8116} |
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, Aria, Ava, Matthew, Michael, Benjamin, Joseph, Grace, and Lily. Victoria asserted: \"(Ava is a saint if and only if Benjamin is a sinner) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1449, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"->\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 3], [\"lying\", 2]]]... | {"split": "train", "index": 8117} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Victoria, Oliver, Sofia, Lily, Riley, Ava, David, Henry, and Mia. Victoria asserted: \"(if Sofia is an egoist then Ava is an egoist) or Ava is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1450, \"statements\": [[\"or\", [\"->\", [\"lying\", 2], [\"lying\", 5]], [\"telling-truth\", 5]], [\"->\", [\"->\", [\"lying\", 7], [\"telling-truth\", 1]], [\"and\", [\"lying\", 8], [\"lying\", 5]]], [\"and\", [\"<=>\", [\"l... | {"split": "train", "index": 8118} |
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: Oliver, Charlotte, Michael, Alexander, Ethan, Emily, Liam, Victoria, and Lily. In a statement by Oliver: \"(Liam is an altruist and Lily is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1451, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 6], [\"lying\", 8]], [\"lying\", 4]], [\"<=>\", [\"or\", [\"lying\", 5], [\"lying\", 2]], [\"not\", [\"lying\", 3]]], [\"or\", [\"->\", [\"lying\", 5], [\"telling-... | {"split": "train", "index": 8119} |
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: Samuel, Daniel, Charlotte, Lily, Sofia, Mia, Jackson, Benjamin, and Noah. Samuel commented, \"(if Charlotte is a laggard then Mia is a pioneer)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1452, \"statements\": [[\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 5]], [\"or\", [\"lying\", 4], [\"telling-truth\", 5]]], [\"not\", [\"and\", [\"lying\", 5], [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"telling-t... | {"split": "train", "index": 8120} |
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, Charlotte, Logan, Mason, Ava, Liam, Evelyn, Aiden, and Lucas. \"(if Mason is a sage then Liam is a fool) if and only if (Logan is a fool or Lucas i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1453, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 5]], [\"or\", [\"lying\", 2], [\"lying\", 8]]], [\"<=>\", [\"and\", [\"lying\", 0], [\"telling-truth\", 5]], [\"telling-truth\", 2]], [\"->\", [\"<=... | {"split": "train", "index": 8121} |
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: Ethan, Owen, Harper, Mason, Henry, Olivia, Matthew, Victoria, and Luke. Ethan commented, \"(Mason is an angel and Matthew is an angel) and (if Olivia i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1454, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"lying\", 7], [\"lying\", 8]]], [\"and\", [\"<=>\", [\... | {"split": "train", "index": 8122} |
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: Abigail, Henry, Emily, Logan, Noah, Mia, Elizabeth, Isabella, and Luke. Abigail was heard saying, \"if (Noah is a knight if and only if Luke is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1455, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 8]], [\"telling-truth\", 6]], [\"or\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]], [\"not\", [\"lying\", 5]]], [\"not\", [\"or\", [\"... | {"split": "train", "index": 8123} |
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, Michael, Daniel, Emily, Scarlett, Lucas, Abigail, Riley, and Jacob. In Benjamin's words: \"Emily is a sage or (Benjamin is a sage and Michael is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1456, \"statements\": [[\"or\", [\"telling-truth\", 3], [\"and\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"lying\", 6], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 8]]],... | {"split": "train", "index": 8124} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Henry, Victoria, Aurora, Isabella, Chloe, Sebastian, Ella, Grace, and Alexander. According to Henry, \"Isabella is a hero\". According to Victoria, \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1457, \"statements\": [[\"telling-truth\", 3], [\"or\", [\"telling-truth\", 4], [\"lying\", 2]], [\"telling-truth\", 1], [\"not\", [\"not\", [\"lying\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]],... | {"split": "train", "index": 8125} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Olivia, Penelope, Grace, Jack, Victoria, Owen, Ethan, Samuel, and Michael. Olivia asserted: \"it is not the case that (Michael is an altruist)\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1458, \"statements\": [[\"not\", [\"not\", [\"lying\", 8]]], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"telling-truth\", 4], [\"telling-truth\", 3], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 7]], [\"... | {"split": "train", "index": 8126} |
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: Aurora, Evelyn, Emily, Ethan, Oliver, Charlotte, Aiden, Olivia, and Noah. In a statement by Aurora: \"if (Emily is a hero if and only if Olivia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1459, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 7]], [\"or\", [\"lying\", 2], [\"lying\", 6]]], [\"->\", [\"telling-truth\", 4], [\"and\", [\"lying\", 5], [\"telling-truth\", 4]]], [\"and\... | {"split": "train", "index": 8127} |
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, Isabella, James, Ava, Aurora, Jack, Emily, Zoey, and Ethan. Sophia noted, \"(Aurora is a knight) and (Zoey is a knight)\". \"Sophia is a knig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1460, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"not\", [\"lying\", 7]]], [\"telling-truth\", 0], [\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"not\", [\"lying\", 0]]], [\"and\", [\"->\", [\"telling-truth\", 8]... | {"split": "train", "index": 8128} |
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: Sofia, Ava, Aria, Matthew, Emma, Daniel, Noah, Jackson, and Sebastian. Sofia asserted: \"if Aria is a knight then (Daniel is a knight if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1461, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 3]], [\"lying\", 2]], [\"and\", [\"and\", [\"telling-tru... | {"split": "train", "index": 8129} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Oliver, Jackson, Charlotte, Sophia, Harper, Scarlett, Samuel, Emily, and Mason. Oliver remarked, \"it is not the case that (Mason is a pioneer ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1462, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 4]]], [\"<=>\", [\"->\", [\"lying\", 6], [\"lying\", 4]], [\"or\", [\"telling-truth\", 8], [\"lying\", 8]]], [\"and\", [\"lying\", 3], [\"not\", [\... | {"split": "train", "index": 8130} |
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, Michael, Jacob, Ava, Logan, Chloe, Ethan, Zoey, and Luke. \"it is not the case that (Michael is a sinner)\" - Abigail. According to Michael,... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1463, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"or\", [\"lying\", 6], [\"lying\", 8]], [\"telling-truth\", 3]], [\"lying\", 3], [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"te... | {"split": "train", "index": 8131} |
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, Elizabeth, William, Olivia, Ethan, Isabella, Alexander, Jack, and Mia. Evelyn told you that (Olivia is a pioneer and Olivia is a laggar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1464, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 3]], [\"->\", [\"lying\", 6], [\"lying\", 5]]], [\"<=>\", [\"->\", [\"telling-truth\", 7], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 8], [\"tel... | {"split": "train", "index": 8132} |
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, Emma, Jackson, Sebastian, Amelia, Daniel, Alexander, Riley, and Aiden. \"it is not the case that (if Alexander is a saint then Jackson is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1465, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 2]]], [\"<=>\", [\"lying\", 7], [\"<=>\", [\"lying\", 4], [\"lying\", 0]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"or\", [\"lying\",... | {"split": "train", "index": 8133} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Alexander, Joseph, Grace, Ethan, Oliver, James, Sebastian, Avery, and Olivia. Alexander stated, \"(if Avery is an egoist then Olivia is an altr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1466, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 7], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 8]]], [\"->\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"and\", [\"telling-truth\", 2], [\"lying\", 6]]], [\"o... | {"split": "train", "index": 8134} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Elizabeth, Daniel, Chloe, Jackson, Aria, Aurora, David, Liam, and James. Elizabeth remarked, \"(David is a knave if and only if Daniel is a knave) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1467, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 6], [\"lying\", 1]], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 5]], [\"not\", [\"lying\", 8]]], [\"or\", [\"or\", ... | {"split": "train", "index": 8135} |
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, Michael, Avery, Ella, Aiden, Daniel, Charlotte, Amelia, and Jackson. David asserted: \"(Amelia is a sinner and Charlotte is a saint) and (Char... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1468, \"statements\": [[\"and\", [\"and\", [\"lying\", 7], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 6], [\"lying\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 7]]], [\"->\", [\"or\", [\"telling... | {"split": "train", "index": 8136} |
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: Lucas, Scarlett, Ella, Jacob, William, Elizabeth, Michael, Joseph, and Sofia. Lucas commented, \"if (Michael is a knave or Scarlett is a knight) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1469, \"statements\": [[\"->\", [\"or\", [\"lying\", 6], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"<=>\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 0]], [\"not\", [\"lying\", 5]... | {"split": "train", "index": 8137} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Michael, Chloe, Aria, Jack, Grace, Aiden, Sebastian, Penelope, and Ava. \"(if Sebastian is a hero then Aiden is a villain) and (Grace is a villain if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1470, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 6], [\"lying\", 5]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]], [\"->\", [\"or\", [\"lying\", 0], [\"lying\", 7]], [\"or\", [\"telling-truth\", 2], [\"lying\", 5]]... | {"split": "train", "index": 8138} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Samuel, Daniel, Olivia, Luke, Aurora, Isabella, Ella, Alexander, and James. In a statement by Samuel: \"(if Luke is an altruist then James is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1471, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 5]]], [\"an... | {"split": "train", "index": 8139} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Emily, David, Charlotte, Luke, Scarlett, Lucas, Olivia, Jack, and Chloe. In Emily's words: \"it is not the case that (Chloe is a knave and Scarlett i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1472, \"statements\": [[\"not\", [\"and\", [\"lying\", 8], [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 0]], [\"telling-truth\", 7]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 5]], [\... | {"split": "train", "index": 8140} |
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: Liam, Ella, Logan, Amelia, Oliver, Abigail, Benjamin, Sophia, and Matthew. Liam said, \"it is not the case that (Matthew is a fool).\" \"it is not the case... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1473, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 8]]], [\"not\", [\"and\", [\"lying\", 4], [\"lying\", 7]]], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"and\", [\"lying\", 4], [\"tellin... | {"split": "train", "index": 8141} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Jack, Emma, Aurora, Daniel, Lucas, Evelyn, Sebastian, Owen, and Jackson. \"(Daniel is a sinner) or (Emma is a sinner and Emma is a saint),\" Jack men... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1474, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"lying\", 0], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 5], [\"lying\", 6]]... | {"split": "train", "index": 8142} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Owen, Emma, Riley, James, Victoria, Abigail, Amelia, Matthew, and Mason. \"Abigail is a devil,\" Owen declared. In Emma's words: \"if (Amelia is an ang... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1475, \"statements\": [[\"lying\", 5], [\"->\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 7]]], [\"and\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 1], [... | {"split": "train", "index": 8143} |
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, Emma, Sebastian, Riley, Mason, Sophia, Zoey, Elizabeth, and Lily. Ava told you that Lily is an altruist or (Mason is an egoist if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1476, \"statements\": [[\"or\", [\"telling-truth\", 8], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"lying\", 7], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"lying\", 4]]], [\"and\", [\"and\", [\"lying\... | {"split": "train", "index": 8144} |
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, Elizabeth, Ethan, Benjamin, Emma, Penelope, Jack, William, and Daniel. David said, \"if Ethan is a fool then (Penelope is a sage if and only if Etha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1477, \"statements\": [[\"->\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 2]]], [\"telling-truth\", 4], [\"<=>\", [\"->\", [\"lying\", 7], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 2]]]... | {"split": "train", "index": 8145} |
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, Oliver, Logan, Sofia, Aria, Joseph, Matthew, Victoria, and Lucas. Zoey stated, \"(if Lucas is an egoist then Joseph is an egoist) and (Ma... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1478, \"statements\": [[\"and\", [\"->\", [\"lying\", 8], [\"lying\", 5]], [\"and\", [\"lying\", 6], [\"lying\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"and\", [\"lying\", 4], [\"lying\", 3... | {"split": "train", "index": 8146} |
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, Scarlett, Joseph, William, Elizabeth, Matthew, Mason, Emily, and Harper. Ethan asserted: \"(Scarlett is a pioneer) and (if Ethan is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1479, \"statements\": [[\"and\", [\"not\", [\"lying\", 1]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 7], [\"lying\", 6]]], [\"... | {"split": "train", "index": 8147} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: James, Ella, Ethan, Sophia, Jackson, Penelope, Abigail, Aurora, and Harper. \"Aurora is an altruist or Jackson is an egoist,\" James claimed. E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1480, \"statements\": [[\"or\", [\"telling-truth\", 7], [\"lying\", 4]], [\"<=>\", [\"or\", [\"lying\", 5], [\"lying\", 7]], [\"or\", [\"lying\", 8], [\"lying\", 5]]], [\"or\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3]]... | {"split": "train", "index": 8148} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Charlotte, Emma, Mason, Joseph, Zoey, Aiden, David, Evelyn, and Elizabeth. Charlotte was heard saying, \"(Aiden is an altruist and Evelyn is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1481, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 6]]], [\"lying\", 4], [\"lying\", 5], [\"and\", [\"telling-truth\", 8], [\"->\", ... | {"split": "train", "index": 8149} |
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, Oliver, Grace, Luke, Joseph, Owen, Lucas, Matthew, and Daniel. Evelyn expressed that (Daniel is a saint and Matthew is a saint) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1482, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 7]], [\"telling-truth\", 1]], [\"<=>\", [\"and\", [\"lying\", 0], [\"telling-truth\", 3]], [\"and\", [\"lying\", 4], [\"telling-truth\", 2]... | {"split": "train", "index": 8150} |
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: Abigail, Emily, Riley, Lucas, Lily, Penelope, Michael, Grace, and Ava. In a statement by Abigail: \"(Penelope is a knave if and only if Riley is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1483, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 5], [\"lying\", 2]], [\"not\", [\"telling-truth\", 6]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 8]]], [\"telling-truth\", 2], [\"->\", [\"or\", [\"... | {"split": "train", "index": 8151} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Michael, Aiden, James, Daniel, Avery, Aria, Lucas, Luke, and Riley. Michael told you that (if Michael is a knight then Daniel is a knave) or (Lucas i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1484, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"or\", [\"lying\", 6], [\"lying\", 7]]], [\"<=>\", [\"->\", [\"telling-truth\", 6], [\"lying\", 5]], [\"and\", [\"telling-truth\", 3], [\"tell... | {"split": "train", "index": 8152} |
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: Scarlett, Chloe, Ella, Evelyn, Sophia, Jacob, Avery, David, and Isabella. As Scarlett put it, \"Chloe is a sage and (Chloe is a fool and Chloe is a sage)\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1485, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"and\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"<=>\", [\"->\", [\"lying\", 5], [\"telling-truth\", 7]], [\"and\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"no... | {"split": "train", "index": 8153} |
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, Benjamin, Emma, Chloe, Emily, Mia, Henry, Isabella, and Ethan. Sophia expressed that (Mia is a laggard if and only if Emily is a laggar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1486, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 5], [\"lying\", 4]], [\"and\", [\"telling-truth\", 6], [\"lying\", 4]]], [\"telling-truth\", 4], [\"or\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 6]], [\"not\... | {"split": "train", "index": 8154} |
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, Lucas, Penelope, Jackson, Owen, Sophia, Scarlett, Jack, and Isabella. In a statement by Oliver: \"(Oliver is a knight and Owen is a knave) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1487, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4]], [\"or\", [\"telling-truth\", 1], [\"lying\", 5]]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2]], [\"not\", [\"lying\", 7]]], [\"... | {"split": "train", "index": 8155} |
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, Elizabeth, Ava, Mia, Aria, Abigail, Matthew, Sofia, and Scarlett. David told you that it is not the case that (David is a sinner). Elizabeth s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1488, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 0]]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\... | {"split": "train", "index": 8156} |
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, Olivia, Victoria, Lucas, Lily, Ella, Isabella, Oliver, and Aria. \"(Isabella is a knave if and only if Oliver is a knave) or (Oliver is a knav... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1489, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 6], [\"lying\", 7]], [\"and\", [\"lying\", 7], [\"lying\", 4]]], [\"or\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 0], [\"tel... | {"split": "train", "index": 8157} |
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: Ava, Samuel, William, Sofia, Luke, Ethan, Matthew, Aiden, and James. Ava commented, \"if (James is a knave if and only if Ethan is a knave) then Jame... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1490, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 8], [\"lying\", 5]], [\"telling-truth\", 8]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 7]], [\"lying\", 8]], [\"not\", [\"telling-truth\", 1]], [\"telling-tr... | {"split": "train", "index": 8158} |
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, Avery, Grace, Evelyn, Penelope, Joseph, Aria, Jacob, and Emma. According to David, \"(Jacob is a saint and Evelyn is a sinner) or (Avery is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1491, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 7], [\"lying\", 3]], [\"not\", [\"lying\", 1]]], [\"and\", [\"and\", [\"lying\", 0], [\"telling-truth\", 8]], [\"or\", [\"lying\", 7], [\"telling-truth\", 6]]], [\"... | {"split": "train", "index": 8159} |
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: Ella, Michael, Jack, Elizabeth, Grace, Lucas, Mia, Abigail, and Charlotte. \"(Lucas is a saint if and only if Ella is a saint) or (Elizabeth is a sin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1492, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 3], [\"lying\", 6]]], [\"or\", [\"lying\", 4], [\"not\", [\"telling-truth\", 2]]], [\"lying\", 3], [\"or\", [\"or... | {"split": "train", "index": 8160} |
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, Charlotte, Penelope, Scarlett, Aria, Avery, Liam, Jacob, and Ethan. In a statement by Luke: \"Charlotte is a sage or (if Scarlett is a fool then Luke... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1493, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"lying\", 5], [\"lying\", 3]], [\"->\", [\"lying\", 6], [\"lying\", 3]]], [\"->\", [\"<=>\", [\"l... | {"split": "train", "index": 8161} |
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: Sofia, Zoey, Jackson, Alexander, Aria, Daniel, Ethan, Amelia, and Emily. In Sofia's words: \"if (Alexander is an angel if and only if Daniel is an ange... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1494, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 8]]], [\"->\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 0]], [\"tellin... | {"split": "train", "index": 8162} |
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, Jacob, Logan, Henry, Aria, Alexander, Harper, Aiden, and Zoey. Evelyn remarked, \"(Aria is a saint) and Aiden is a saint\". According to Jaco... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1495, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 7]], [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"and\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"telling-... | {"split": "train", "index": 8163} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Daniel, Penelope, Aurora, Mason, Samuel, Mia, Henry, Luke, and Owen. Daniel expressed that (Owen is a knave or Aurora is a knave) or Henry is a knave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1496, \"statements\": [[\"or\", [\"or\", [\"lying\", 8], [\"lying\", 2]], [\"lying\", 6]], [\"->\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 5]], [\"->\", [\"lying\", 7], [\"telling-truth\", 8]]], [\"<=>\", [\"<=>\", [\"t... | {"split": "train", "index": 8164} |
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, Sofia, Lucas, Owen, Oliver, Matthew, Evelyn, Joseph, and Jackson. According to Ava, \"(Owen is a saint) or (Owen is a sinner)\". \"Owen is a sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1497, \"statements\": [[\"or\", [\"not\", [\"lying\", 3]], [\"not\", [\"telling-truth\", 3]]], [\"and\", [\"telling-truth\", 3], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"l... | {"split": "train", "index": 8165} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Matthew, William, Ava, Aiden, Jacob, Victoria, Benjamin, Sebastian, and Owen. Matthew remarked, \"if (if William is a knave then Jacob is a knight) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1498, \"statements\": [[\"->\", [\"->\", [\"lying\", 1], [\"telling-truth\", 4]], [\"or\", [\"lying\", 3], [\"lying\", 2]]], [\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 4], [\"tell... | {"split": "train", "index": 8166} |
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: William, Sophia, Aria, Elizabeth, Emma, Abigail, Zoey, Amelia, and Alexander. William said that it is not the case that (Sophia is an altruist)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1499, \"statements\": [[\"not\", [\"not\", [\"lying\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 5]]], [\"lying\", 3], [\"and\", [\"telling-truth\", 8], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", ... | {"split": "train", "index": 8167} |
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: Joseph, Amelia, Aurora, Chloe, Elizabeth, James, Ethan, Ella, and Aria. Joseph expressed that (Amelia is a devil if and only if Aurora is a devil) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1500, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 1], [\"lying\", 2]], [\"and\", [\"lying\", 6], [\"telling-truth\", 0]]], [\"<=>\", [\"or\", [\"lying\", 6], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 8], [\"te... | {"split": "train", "index": 8168} |
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: Jacob, Mia, Luke, Emma, Olivia, Jack, Lucas, Zoey, and Ava. \"Zoey is a devil and (Jacob is a devil),\" Jacob declared. \"if (Ava is a devil if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1501, \"statements\": [[\"and\", [\"lying\", 7], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"<=>\", [\"lying\", 8], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 7]]], [\"or\", [\"not\", [\"lying\", 3]], [... | {"split": "train", "index": 8169} |
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, Evelyn, Ella, Emma, William, Chloe, Sofia, Isabella, and Sophia. Riley said, \"it is not the case that (Chloe is a villain and Ella is a hero)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1502, \"statements\": [[\"not\", [\"and\", [\"lying\", 5], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"and\", [\"or\", [\"telling-truth\"... | {"split": "train", "index": 8170} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Evelyn, Amelia, Matthew, Oliver, Jack, Sebastian, Penelope, Daniel, and Mia. \"(Jack is a fool or Mia is a fool) or (Mia is a sage and Jack is a sage),\" E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1503, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"lying\", 8]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"lying\", 4], [\"lying\", 2]], [\"->\", [\"telling-truth\", 8], [\"tell... | {"split": "train", "index": 8171} |
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, Charlotte, Ella, Ethan, Daniel, Jackson, Aurora, Noah, and Olivia. Sebastian remarked, \"(Ethan is a sage if and only if Aurora is a fool) or (A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1504, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 6]], [\"and\", [\"lying\", 6], [\"telling-truth\", 5]]], [\"lying\", 4], [\"<=>\", [\"and\", [\"telling-truth\", 6], [\"lying\", 7]], [\"telling-tru... | {"split": "train", "index": 8172} |
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, Isabella, Matthew, Charlotte, Luke, Jackson, Lucas, Emma, and Emily. Aria told you that Aria is a saint. \"Jackson is a saint or (Aria is a sai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1505, \"statements\": [[\"telling-truth\", 0], [\"or\", [\"telling-truth\", 5], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"lying\", 6], [\"lying\", 7]], [\"<=>\", [\"lying\", 6], [\"tell... | {"split": "train", "index": 8173} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Aria, Jacob, Isabella, Olivia, Elizabeth, Charlotte, William, Aiden, and Daniel. According to Aria, \"it is not the case that (if Jacob is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1506, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 7]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"and\", [\"lying\", 4], [\"lying\", 5]]], [\"and\", [\"lying\", 0], [\"... | {"split": "train", "index": 8174} |
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, Penelope, Isabella, James, Samuel, Lily, Zoey, Luke, and Ethan. \"(James is a saint and Zoey is a sinner) if and only if (James is a sinner and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1507, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 6]], [\"and\", [\"lying\", 3], [\"telling-truth\", 7]]], [\"or\", [\"not\", [\"lying\", 6]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", ... | {"split": "train", "index": 8175} |
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, Emma, Liam, Harper, Henry, Matthew, Lily, Avery, and Owen. \"(Liam is a knave or Henry is a knave) and (Liam is a knight),\" Chloe claimed. Em... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1508, \"statements\": [[\"and\", [\"or\", [\"lying\", 2], [\"lying\", 4]], [\"not\", [\"lying\", 2]]], [\"and\", [\"and\", [\"telling-truth\", 7], [\"lying\", 7]], [\"lying\", 0]], [\"telling-truth\", 7], [\"<=>\", [\"->\", [\... | {"split": "train", "index": 8176} |
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: Daniel, Ella, Liam, Sofia, Noah, Charlotte, Evelyn, Samuel, and Aurora. \"(Aurora is a villain) if and only if (Sofia is a hero if and only if Sofia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1509, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"lying\", 3], [\"->\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"->\", [\"telling-tru... | {"split": "train", "index": 8177} |
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, Aiden, Amelia, William, Mason, Olivia, Scarlett, and David. Aurora commented, \"Aiden is a knave\". Victoria noted, \"if Aurora is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1510, \"statements\": [[\"lying\", 2], [\"->\", [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 0], [\"lying\", 8]]], [\"or\", [\"telling-truth\", 8], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 6]]], [\"<=>\", [\"not\"... | {"split": "train", "index": 8178} |
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: Grace, Lily, Zoey, David, Riley, Chloe, Daniel, Isabella, and Penelope. According to Grace, \"it is not the case that (David is an egoist or Ch... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1511, \"statements\": [[\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 5]]], [\"not\", [\"->\", [\"telling-truth\", 7], [\"lying\", 2]]], [\"->\", [\"not\", [\"telling-truth\", 5]], [\"or\", [\"lying\", 4], [\"telling-t... | {"split": "train", "index": 8179} |
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: Grace, Zoey, Ethan, Amelia, Jackson, Victoria, Harper, Chloe, and Daniel. \"Victoria is a saint,\" Grace claimed. Zoey noted, \"(Daniel is a saint an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1512, \"statements\": [[\"telling-truth\", 5], [\"or\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 5]]], [\"telling-truth\", 6], [\"<=>\", [\"<=>\", [\"telling-truth\", 7], [\"tell... | {"split": "train", "index": 8180} |
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: Sophia, Alexander, Logan, Michael, Amelia, Ava, Joseph, Emma, and Elizabeth. Sophia said, \"Joseph is a hero.\" Alexander commented, \"if (Sophia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1513, \"statements\": [[\"telling-truth\", 6], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 8]]], [\"and\", [\"and\", [\"telling-truth\", 5], [\"lying\", 1]], [\"or\", [\"te... | {"split": "train", "index": 8181} |
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, Luke, Olivia, David, Ethan, Elizabeth, Amelia, Jack, and Aurora. Avery expressed that (David is a sinner) or (Ethan is a sinner if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1514, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"not\", [\"lying\", 3]]], [\"->\", [... | {"split": "train", "index": 8182} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Grace, Sofia, Amelia, Oliver, Mia, Emily, Olivia, Logan, and Liam. Grace asserted: \"(Oliver is a villain) or (if Liam is a villain then Sofia is a v... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1515, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 8], [\"lying\", 1]]], [\"or\", [\"->\", [\"lying\", 5], [\"lying\", 2]], [\"lying\", 2]], [\"or\", [\"and\", [\"lying\", 6], [\"telling-tr... | {"split": "train", "index": 8183} |
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: Scarlett, Michael, Daniel, Luke, Lily, Jackson, Samuel, Aria, and Zoey. Scarlett remarked, \"it is not the case that (Zoey is an egoist)\". In ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1516, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 8]]], [\"not\", [\"<=>\", [\"lying\", 8], [\"lying\", 3]]], [\"lying\", 5], [\"or\", [\"and\", [\"telling-truth\", 8], [\"lying\", 2]], [\"->\", [\"telling-truth\"... | {"split": "train", "index": 8184} |
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, Owen, Amelia, Matthew, Jack, Penelope, Liam, and Chloe. In Oliver's words: \"Liam is an angel and (Amelia is an angel or Penelope is a d... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1517, \"statements\": [[\"and\", [\"telling-truth\", 7], [\"or\", [\"telling-truth\", 3], [\"lying\", 6]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 7]]],... | {"split": "train", "index": 8185} |
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, Aria, Jackson, Charlotte, Noah, Henry, Jack, Owen, and Sebastian. Harper was heard saying, \"(Aria is an altruist and Henry is an egois... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1518, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 5]], [\"and\", [\"lying\", 6], [\"telling-truth\", 7]]], [\"or\", [\"not\", [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 0]]], [\... | {"split": "train", "index": 8186} |
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, Evelyn, Lily, Emma, Elizabeth, Mason, Amelia, Sophia, and Owen. Daniel said that Elizabeth is an egoist. Evelyn said, \"if (Owen is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1519, \"statements\": [[\"lying\", 4], [\"->\", [\"not\", [\"lying\", 8]], [\"->\", [\"lying\", 7], [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 7]]], [\"->\", [\"and\", [\"lying\", 0], [\"... | {"split": "train", "index": 8187} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Henry, David, Jackson, Oliver, Sofia, Daniel, Amelia, Aurora, and Zoey. As Henry put it, \"Aurora is a hero\". David said that if Henry is a hero the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1520, \"statements\": [[\"not\", [\"lying\", 7]], [\"->\", [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"not\", [\"lying\", 5]... | {"split": "train", "index": 8188} |
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, James, Logan, David, Aurora, Chloe, Sophia, Harper, and Evelyn. In Sebastian's words: \"(Aurora is a laggard or Sophia is a laggard)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1521, \"statements\": [[\"and\", [\"or\", [\"lying\", 4], [\"lying\", 6]], [\"lying\", 1]], [\"and\", [\"<=>\", [\"lying\", 3], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 7], [\"lying\", 8]]], [\"or\", [\"or\", [\"telling-... | {"split": "train", "index": 8189} |
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, Evelyn, Isabella, Charlotte, Olivia, Aurora, James, Sebastian, and Matthew. Penelope was heard saying, \"Matthew is an angel if and only if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1522, \"statements\": [[\"<=>\", [\"telling-truth\", 8], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"lying\", 5], [\"lying\", 8]], [\"->\", [\"lying\", 2], [\"lying\", 5]]], [\"not\", [\"or\... | {"split": "train", "index": 8190} |
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: Amelia, Scarlett, Sofia, Evelyn, Grace, Luke, Matthew, Mason, and Lily. \"(Luke is a sage) and (if Evelyn is a sage then Lily is a sage),\" Amelia claimed.... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1523, \"statements\": [[\"and\", [\"not\", [\"lying\", 5]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 8]]], [\"telling-truth\", 3], [\"not\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 5]]], [\"telling-tru... | {"split": "train", "index": 8191} |
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, Mia, David, Matthew, Lucas, Michael, Isabella, Mason, and Owen. Oliver expressed that it is not the case that (Michael is a knight and Isabel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1524, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 6]]], [\"not\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 4]]], [\"telling-truth\", 8], [\"->\", [\"and\", [\"telling-truth\", 5... | {"split": "train", "index": 8192} |
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, Noah, Grace, Amelia, Isabella, Jack, Jacob, Harper, and Emma. \"Harper is a knight or (Noah is a knight or Amelia is a knight),\" Elizabet... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1525, \"statements\": [[\"or\", [\"telling-truth\", 7], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"telling-truth\", 5]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 8]]], [\"or\... | {"split": "train", "index": 8193} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Samuel, Abigail, Jackson, Noah, Liam, Zoey, Mason, Charlotte, and Chloe. \"(Abigail is a hero or Samuel is a hero) or (Samuel is a villain)\" - Samue... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1526, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"->\", [\"lying\", 6], [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"lying\", 0]]]... | {"split": "train", "index": 8194} |
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, Joseph, Chloe, Luke, Charlotte, Amelia, Avery, David, and Owen. Zoey said, \"it is not the case that (Chloe is an angel).\" In a statement by Jos... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1527, \"statements\": [[\"not\", [\"not\", [\"lying\", 2]]], [\"<=>\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 3], [\... | {"split": "train", "index": 8195} |
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, Emma, Oliver, Riley, Daniel, Noah, Liam, Lucas, and Scarlett. Ethan was heard saying, \"Daniel is an egoist\". \"(Liam is an altruist) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1528, \"statements\": [[\"lying\", 4], [\"and\", [\"not\", [\"lying\", 6]], [\"or\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"lying\", 0], [\"or\", [\"and\", [\"lying\", 0], [\"telling-truth\", 8]], [\"and\", [\"lying\", 5... | {"split": "train", "index": 8196} |
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: Penelope, Owen, Jack, Harper, Alexander, Jackson, Aurora, Lily, and Ethan. In a statement by Penelope: \"it is not the case that (Ethan is a saint)\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1529, \"statements\": [[\"not\", [\"not\", [\"lying\", 8]]], [\"->\", [\"and\", [\"lying\", 0], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"lying\", 1], [\"lying\", 7]], [... | {"split": "train", "index": 8197} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Jacob, Joseph, David, Benjamin, Oliver, Riley, Aria, Amelia, and Zoey. Jacob asserted: \"David is a villain\". As Joseph put it, \"if (if Oliver is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1530, \"statements\": [[\"lying\", 2], [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 0]], [\"or\", [\"lying\", 3], [\"lying\", 2]]], [\"telling-truth\", 7], [\"telling-truth\", 4], [\"<=>\", [\"lying\", 8], [\"telling-truth\",... | {"split": "train", "index": 8198} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Penelope, Ava, Sebastian, Henry, Chloe, Charlotte, Jackson, Mason, and Mia. \"if (Sebastian is a knave and Mason is a knight) then (Charlotte is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1531, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 5], [\"lying\", 6]]], [\"not\", [\"lying\", 8]], [\"and\", [\"->\", [\"telling-truth\", 7], [\"lying\", 1]], [\"-... | {"split": "train", "index": 8199} |
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