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 heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Harper, Jack, Emma, Lucas, Joseph, Scarlett, Samuel, James, and Henry. In Harper's words: \"((Samuel is a hero if and only if Joseph is a villain) if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 822, \"statements\": [[\"and\", [\"<=>\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 4]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 7], [\"telling-truth\", 1]]], [\"or\", [\"and\", [\"tel... | {"split": "train", "index": 18600} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Amelia, Owen, Henry, Jackson, Oliver, Aria, James, Olivia, and Matthew. Amelia remarked, \"(if (Aria is a hero and James is a hero) then (if Jackson ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 823, \"statements\": [[\"and\", [\"->\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"and\", [\"or\", [\"lying\", 1], [\"lying\", 5], [\"telling-truth\", 7], ... | {"split": "train", "index": 18601} |
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, Amelia, Joseph, Avery, William, Evelyn, Benjamin, Jacob, and Riley. As James put it, \"if ((if Amelia is a villain then Joseph is a hero) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 824, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 7]]]], [\"telling-truth... | {"split": "train", "index": 18602} |
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: Matthew, Joseph, Avery, Ethan, Chloe, Harper, Jack, Liam, and Elizabeth. \"it is not the case that (if (Elizabeth is a pioneer or Chloe is a la... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 825, \"statements\": [[\"not\", [\"->\", [\"or\", [\"telling-truth\", 8], [\"lying\", 4]], [\"or\", [\"lying\", 6], [\"lying\", 8]]]], [\"not\", [\"and\", [\"telling-truth\", 5], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 5... | {"split": "train", "index": 18603} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Zoey, Owen, Charlotte, William, Evelyn, Aiden, Jack, Avery, and Lily. Zoey noted, \"((Aiden is a saint or William is a sinner) or (Zoey is a saint if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 826, \"statements\": [[\"and\", [\"or\", [\"or\", [\"telling-truth\", 5], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"telling-truth\", 3], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"tell... | {"split": "train", "index": 18604} |
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, Emily, Elizabeth, Sebastian, Luke, Ella, Charlotte, Daniel, and Henry. Isabella noted, \"Elizabeth is a laggard\". Emily said, \"Seba... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 827, \"statements\": [[\"lying\", 2], [\"lying\", 3], [\"or\", [\"lying\", 4], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 0], [\"telling-truth\", 8]]]], [\"->\", [\"and\",... | {"split": "train", "index": 18605} |
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, Sophia, Mia, Grace, Jacob, Evelyn, Jackson, Owen, and James. Daniel said, \"if (Owen is an egoist and (Owen is an egoist if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 828, \"statements\": [[\"->\", [\"and\", [\"lying\", 7], [\"<=>\", [\"lying\", 7], [\"lying\", 1]], [\"<=>\", [\"lying\", 1], [\"lying\", 7]]], [\"<=>\", [\"or\", [\"telling-truth\", 7], [\"lying\", 4], [\"telling-truth\", 5]]... | {"split": "train", "index": 18606} |
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, Henry, Zoey, Aurora, Luke, James, Benjamin, Daniel, and Lucas. Mason commented, \"it is not the case that (it is not the case that (Luke... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 829, \"statements\": [[\"not\", [\"not\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 7], [\"lying\", 4]]]], [\"or\", [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 7]], [\"->\", [\"lying\", 4], [\"telling-truth\", 3]... | {"split": "train", "index": 18607} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Mia, Logan, David, Jacob, James, Aiden, Lucas, Emily, and Ella. \"(it is not the case that (James is a villain and Mia is a hero and Jacob is a hero ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 830, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 3], [\"lying\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 5], [\"lying\", 1], [\"telling-truth\", 6]]]], [\"<=>... | {"split": "train", "index": 18608} |
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: Noah, Joseph, Logan, Sofia, Abigail, Victoria, Liam, Emily, and Harper. \"(if (Abigail is an angel if and only if Joseph is an angel) then (if Abigail ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 831, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"->\", [\"lying\", 4], [\"telling-truth\", 5]]], [\"<=>\", [\"or\", [\"telling-truth\", 7], [\"lying\", 3], [\"telling-truth\... | {"split": "train", "index": 18609} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Sophia, Jack, Ava, Alexander, Emma, Zoey, Amelia, Sebastian, and Aurora. Sophia said, \"(it is not the case that (if Alexander is a sinner then Auror... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 832, \"statements\": [[\"and\", [\"not\", [\"->\", [\"lying\", 3], [\"lying\", 8]]], [\"not\", [\"telling-truth\", 7]]], [\"not\", [\"and\", [\"lying\", 2], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 3]]]], [\"->\", ... | {"split": "train", "index": 18610} |
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: Henry, Victoria, Sophia, James, Zoey, Oliver, Amelia, Aria, and Harper. Henry expressed that it is not the case that ((James is a knight) and (if Ari... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 833, \"statements\": [[\"not\", [\"and\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 2]], [\"->\", [\"lying\", 5], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 7], [\"telling-trut... | {"split": "train", "index": 18611} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Mia, Aria, Olivia, Sebastian, James, Joseph, Daniel, Michael, and Sophia. As Mia put it, \"((Joseph is a sage if and only if Daniel is a sage) and (if Soph... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 834, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 8], [\"lying\", 1]], [\"lying\", 5], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 8]]],... | {"split": "train", "index": 18612} |
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, Logan, Avery, Olivia, Alexander, Harper, Jack, Elizabeth, and Emily. \"Harper is a laggard if and only if ((Harper is a laggard) and Em... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 835, \"statements\": [[\"<=>\", [\"lying\", 5], [\"and\", [\"not\", [\"telling-truth\", 5]], [\"telling-truth\", 8]]], [\"and\", [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"not\", [\"not\", [\"lying\", 2]]]... | {"split": "train", "index": 18613} |
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: Lily, Ethan, Victoria, Emma, Matthew, Evelyn, Ella, Jacob, and William. \"((Victoria is a pioneer) if and only if (if Matthew is a pioneer then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 836, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"or\", [\"or\", [\"lying\", 5], [\"telling-truth\", 0]], [\"not\", [\"lying\", 2]]]], [\"and\", [\"lying... | {"split": "train", "index": 18614} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Sofia, Sophia, Ava, Lucas, Penelope, Isabella, Victoria, Grace, and Ethan. Sofia said, \"it is not the case that (it is not the case that (Victoria i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 837, \"statements\": [[\"not\", [\"not\", [\"not\", [\"telling-truth\", 6]]]], [\"<=>\", [\"<=>\", [\"->\", [\"lying\", 6], [\"telling-truth\", 4]], [\"lying\", 4]], [\"and\", [\"lying\", 0], [\"not\", [\"telling-truth\", 0]]]... | {"split": "train", "index": 18615} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Mia, Jacob, Henry, Oliver, Jackson, Emily, Daniel, Lucas, and Sebastian. According to Mia, \"it is not the case that (if (Daniel is a sage or Sebastian is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 838, \"statements\": [[\"not\", [\"->\", [\"or\", [\"telling-truth\", 6], [\"lying\", 8], [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"lying\", 6]]], [\"or\", [\"or\", [\"->\", [\"telling-truth\", 6], [\"lying\", 5]], [... | {"split": "train", "index": 18616} |
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, Michael, Henry, Owen, Scarlett, Avery, Penelope, Olivia, and Victoria. Grace expressed that ((Scarlett is an altruist if and only if Hen... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 839, \"statements\": [[\"<=>\", [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"and\", [\"lying\", 8], [\"telling-truth\", 7], [\"telling-truth\", 8]]], [\"or\", [\"not\", [\"lying\", 4]], [\"and\", [\"... | {"split": "train", "index": 18617} |
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, Evelyn, Alexander, Victoria, Scarlett, Mason, Amelia, David, and Joseph. Aurora noted, \"(if Aurora is an altruist then (Alexander is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 840, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"and\", [\"lying\", 2], [\"telling-truth\", 3], [\"telling-truth\", 7]]], [\"->\", [\"not\", [\"lying\", 1]], [\"not\", [\"telling-truth\", 6]]], [\"lying\", 6... | {"split": "train", "index": 18618} |
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, Emma, Elizabeth, James, Noah, Aria, Owen, Ava, and Harper. In a statement by Sophia: \"if ((if James is a knight then Harper is a knave) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 841, \"statements\": [[\"->\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 8]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"lying\", 2]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]... | {"split": "train", "index": 18619} |
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: Liam, Zoey, Ava, Evelyn, Mason, Mia, Lucas, Aria, and Abigail. Liam said that (Abigail is a laggard and (Ava is a pioneer and Mason is a pionee... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 842, \"statements\": [[\"and\", [\"and\", [\"lying\", 8], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 8], [\"lyin... | {"split": "train", "index": 18620} |
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: David, Samuel, Jackson, Lucas, Daniel, Charlotte, Liam, Oliver, and Avery. As David put it, \"(it is not the case that (Oliver is a devil if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 843, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 1]]], [\"and\", [\"not\", [\"telling-truth\", 5]], [\"telling-truth\", 0], [\"not\", [\"telling-truth\", 0]]]], [\"<=>\", [\"or\", [\"or\"... | {"split": "train", "index": 18621} |
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: Sophia, Noah, Mason, Jack, Olivia, David, Emma, Alexander, and Daniel. According to Sophia, \"if ((if Daniel is a fool then Daniel is a sage) if and only i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 844, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"lying\", 8], [\"telling-truth\", 8]], [\"lying\", 8]], [\"or\", [\"->\", [\"lying\", 6], [\"lying\", 3]], [\"->\", [\"lying\", 5], [\"lying\", 4]], [\"and\", [\"lying\", 1],... | {"split": "train", "index": 18622} |
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, Amelia, Harper, Jacob, Emily, Grace, Mason, Ella, and Aurora. Penelope was heard saying, \"(if (Jacob is a knight or Ella is a knight) then... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 845, \"statements\": [[\"<=>\", [\"->\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"lying\", 5], [\"telling-truth\", 0]], [\"not\",... | {"split": "train", "index": 18623} |
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: Charlotte, Sophia, Aiden, Amelia, Elizabeth, James, Sebastian, Matthew, and Riley. As Charlotte put it, \"(if (Amelia is a pioneer and Riley is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 846, \"statements\": [[\"and\", [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 2], [\"lying\", 6], [\"lying\", 3]]], [\"<=>\", [\"lying\", 4], [\"tellin... | {"split": "train", "index": 18624} |
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: Michael, Henry, Riley, Isabella, Charlotte, Ethan, Penelope, Scarlett, and Daniel. Michael remarked, \"if ((Daniel is an egoist) if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 847, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]]], [\"and\", [\"or\", [\"not\"... | {"split": "train", "index": 18625} |
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: Riley, Evelyn, Harper, Owen, David, Grace, Jacob, Emily, and Zoey. Riley noted, \"Owen is a knight\". As Evelyn put it, \"Zoey is a knight if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 848, \"statements\": [[\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 8], [\"not\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 8]]]], [\"not\", [\"or\", [\"not\", [\"telling-truth\", 5]], [\"<=>\", [\"telling-t... | {"split": "train", "index": 18626} |
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, Grace, Amelia, Jack, Oliver, Penelope, Ethan, Isabella, and Benjamin. According to Evelyn, \"Isabella is a saint\". Grace said, \"Amelia is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 849, \"statements\": [[\"telling-truth\", 7], [\"lying\", 2], [\"->\", [\"and\", [\"and\", [\"lying\", 3], [\"lying\", 5]], [\"not\", [\"lying\", 5]], [\"lying\", 7], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], ... | {"split": "train", "index": 18627} |
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, Aurora, Ethan, Chloe, Penelope, James, Mason, Michael, and Noah. Ella commented, \"Mason is a saint\". Aurora noted, \"it is not the case that ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 850, \"statements\": [[\"not\", [\"lying\", 6]], [\"not\", [\"and\", [\"not\", [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 0], [\"lying\", 6]]]], [\"or\", [\"<=>\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 8], [\"ly... | {"split": "train", "index": 18628} |
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, Luke, Owen, Daniel, Emma, Elizabeth, Noah, Lily, and Mia. Alexander said that ((Noah is a laggard) if and only if (Emma is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 851, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"lying\", 5], [\"telling-truth\", 5]]]], [\"->\", [\"... | {"split": "train", "index": 18629} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Olivia, Sofia, Daniel, William, Penelope, Noah, Isabella, Joseph, and Ava. \"if (Ava is a fool) then Noah is a sage,\" Olivia claimed. Sofia told you that ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 852, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 8]], [\"telling-truth\", 5]], [\"and\", [\"not\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 5], [\"telling-truth\", 0], [\"lying\", 8]]], [\"->\", [\"tel... | {"split": "train", "index": 18630} |
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, Sebastian, Sophia, Owen, Riley, Harper, Joseph, Noah, and Sofia. Abigail was heard saying, \"if ((Abigail is a saint if and only if Owen is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 853, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"and\", [\"lying\", 6], [\"lying\", 3]]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 1], [\"lying\", ... | {"split": "train", "index": 18631} |
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, Aiden, Ella, Samuel, Daniel, Luke, Henry, Ava, and Chloe. \"if ((Chloe is a sinner) if and only if (Chloe is a sinner and Henry is a sinner... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 854, \"statements\": [[\"->\", [\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"and\", [\"lying\", 8], [\"lying\", 6]]], [\"->\", [\"and\", [\"lying\", 7], [\"telling-truth\", 8], [\"telling-truth\", 6], [\"telling-truth\", 4]]... | {"split": "train", "index": 18632} |
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: Matthew, Emily, Liam, Benjamin, Mia, Abigail, Logan, William, and Ava. Matthew told you that if (William is a devil or Matthew is an angel) then ((Will... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 855, \"statements\": [[\"->\", [\"or\", [\"lying\", 7], [\"telling-truth\", 0]], [\"<=>\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 2]]]], [\"->\", [\"and\", [\"n... | {"split": "train", "index": 18633} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Isabella, Samuel, Mason, Aria, Mia, Zoey, Victoria, Ella, and Lucas. Isabella noted, \"if (it is not the case that (Samuel is a knight)) then (if (Mi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 856, \"statements\": [[\"->\", [\"not\", [\"not\", [\"lying\", 1]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 5], [\"lying\", 4]]]], [\"not\", [\"and\", [\... | {"split": "train", "index": 18634} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: James, Jackson, Sophia, Zoey, Jack, Ava, Lily, Joseph, and Amelia. \"(it is not the case that (Ava is a knight or Lily is a knight or Joseph is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 857, \"statements\": [[\"or\", [\"not\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 6], [\"telling-truth\", 7], [\"telling-truth\", 0]]], [\"lying\", 2], [\"and\", [\"or\", [\"lying\", 6], [\"lying\", 3], [\"telling-... | {"split": "train", "index": 18635} |
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, Olivia, Jack, Penelope, Riley, Isabella, William, Aiden, and Evelyn. Ethan asserted: \"((Penelope is an egoist or Jack is an altruist) a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 858, \"statements\": [[\"and\", [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]], [\"lying\", 5], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 5], [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"->\", [\... | {"split": "train", "index": 18636} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Isabella, Sophia, Ava, Owen, Luke, Amelia, Zoey, Benjamin, and Evelyn. Isabella noted, \"if Amelia is a knave then Benjamin is a knight\". Sophia was... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 859, \"statements\": [[\"->\", [\"lying\", 5], [\"telling-truth\", 7]], [\"<=>\", [\"not\", [\"or\", [\"lying\", 6], [\"lying\", 0], [\"telling-truth\", 4]]], [\"lying\", 8]], [\"or\", [\"lying\", 3], [\"->\", [\"not\", [\"lyi... | {"split": "train", "index": 18637} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Amelia, Grace, Emma, Evelyn, Sophia, Ella, Jackson, Michael, and Elizabeth. Amelia told you that (Sophia is an altruist) or ((Sophia is an altr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 860, \"statements\": [[\"or\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4]], [\"->\", [\"lying\", 3], [\"lying\", 5]]], [\"<=>\", [\"or\", [\"lying\", 6], [\"telling-truth\", 8]], [\"no... | {"split": "train", "index": 18638} |
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: Ethan, Ella, Zoey, Matthew, Luke, Lucas, Elizabeth, Mason, and Liam. Ethan commented, \"(if (Elizabeth is a hero if and only if Lucas is a villain) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 861, \"statements\": [[\"or\", [\"->\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 5]], [\"not\", [\"lying\", 7]]], [\"not\", [\"and\", [\"telling-truth\", 5], [\"lying\", 6], [\"telling-truth\", 0]]]], [\"not\", [\"lying\"... | {"split": "train", "index": 18639} |
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: Ava, William, David, Joseph, Aurora, Zoey, Aiden, Noah, and Avery. Ava said, \"Aurora is a pioneer.\" According to William, \"Aurora is a lagga... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 862, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"lying\", 4], [\"<=>\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 5]], [\"and\", [\"lying\", 4], [\"lying\", 5], [\"telling-truth\", 0]]], [\"lying\", 2]], [\... | {"split": "train", "index": 18640} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Benjamin, Chloe, Owen, Michael, Liam, Samuel, Noah, Mia, and Abigail. As Benjamin put it, \"it is not the case that ((Noah is a knave or Owen is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 863, \"statements\": [[\"not\", [\"and\", [\"or\", [\"lying\", 6], [\"telling-truth\", 2], [\"lying\", 7], [\"lying\", 5]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 8], [\"telling-truth\", ... | {"split": "train", "index": 18641} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Isabella, Olivia, Joseph, James, Jacob, Elizabeth, Emma, Evelyn, and Noah. \"(it is not the case that (Emma is an altruist or Jacob is an egois... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 864, \"statements\": [[\"or\", [\"not\", [\"or\", [\"telling-truth\", 6], [\"lying\", 4]]], [\"not\", [\"<=>\", [\"lying\", 6], [\"lying\", 5]]], [\"and\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"tellin... | {"split": "train", "index": 18642} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Sofia, Henry, Zoey, Avery, Samuel, Mia, Liam, Sophia, and Aiden. \"Aiden is an altruist or (Liam is an altruist and (Sofia is an altruist and H... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 865, \"statements\": [[\"or\", [\"telling-truth\", 8], [\"and\", [\"telling-truth\", 6], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 0]], [\"... | {"split": "train", "index": 18643} |
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: Emily, Noah, Michael, Owen, Riley, Isabella, Aurora, Elizabeth, and David. As Emily put it, \"if Michael is a pioneer then ((Owen is a pioneer)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 866, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"or\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 1]]]], [\"->\", [\"<=>\", [\"->\", [\"lying\", 8], [\"telling-truth\", 7]], [\"->... | {"split": "train", "index": 18644} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: William, Isabella, James, Daniel, Chloe, Ava, David, Evelyn, and Sofia. \"Ava is a hero,\" William declared. \"if David is a villain then ((Sofia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 867, \"statements\": [[\"telling-truth\", 5], [\"->\", [\"lying\", 6], [\"or\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 7]], [\"lying\", 3]]], [\"and\", [\"and\",... | {"split": "train", "index": 18645} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Evelyn, Harper, Emma, Alexander, Grace, Aiden, Olivia, Aria, and Sophia. Evelyn stated, \"it is not the case that ((Emma is a knave or Sophia is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 868, \"statements\": [[\"not\", [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 4], [\"lying\", 6], [\"telling-truth\", 0]], [\"lying\", 3], [\"or\", [\"lying\", 2], [\"lying\", 6], [\... | {"split": "train", "index": 18646} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Jack, William, Avery, Grace, Sofia, Oliver, Scarlett, Joseph, and Evelyn. \"(Avery is a devil or (if Avery is a devil then Grace is an angel) or (if Av... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 869, \"statements\": [[\"and\", [\"or\", [\"lying\", 2], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 5]]], [\"lying\", 5], [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], ... | {"split": "train", "index": 18647} |
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: Daniel, Amelia, Zoey, Aria, Mason, Penelope, Matthew, Michael, and Mia. Daniel stated, \"Michael is a laggard\". In Amelia's words: \"(it is no... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 870, \"statements\": [[\"lying\", 7], [\"or\", [\"not\", [\"<=>\", [\"lying\", 5], [\"lying\", 6]]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"lying\", 5], [\"lying\", 7], [\"lying\", 3], ... | {"split": "train", "index": 18648} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Sofia, Lucas, Aurora, Scarlett, Alexander, Lily, Joseph, Liam, and Daniel. Sofia commented, \"Aurora is an egoist\". In a statement by Lucas: \... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 871, \"statements\": [[\"lying\", 2], [\"->\", [\"and\", [\"or\", [\"telling-truth\", 7], [\"lying\", 8], [\"telling-truth\", 8]], [\"->\", [\"lying\", 3], [\"telling-truth\", 6]]], [\"<=>\", [\"not\", [\"lying\", 6]], [\"or\"... | {"split": "train", "index": 18649} |
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, Michael, Sophia, Aurora, Sebastian, Scarlett, Jack, Owen, and Luke. \"Michael is a hero or (if (if Aurora is a hero then Owen is a hero) the... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 872, \"statements\": [[\"or\", [\"telling-truth\", 1], [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 4], [\"lying\", 7]]], [\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\... | {"split": "train", "index": 18650} |
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, Emma, Amelia, Zoey, Ella, Aria, Isabella, Scarlett, and Jack. \"it is not the case that (if (Scarlett is a saint) then (Zoey is a saint and A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 873, \"statements\": [[\"not\", [\"->\", [\"not\", [\"lying\", 7]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 5], [\"lying\", 6]]]], [\"not\", [\"lying\", 4]], [\"<=>\", [\"and\", [\"and\", [\"lying\", 0], [\"lying... | {"split": "train", "index": 18651} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Mia, Liam, Sophia, Ava, Ella, David, Emily, Luke, and William. \"(it is not the case that (if Sophia is a hero then Emily is a villain)) if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 874, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 6]]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"->\", [\"lying\", 5], [\"lyi... | {"split": "train", "index": 18652} |
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, Ethan, Mia, Isabella, Sophia, Joseph, Aria, Henry, and Avery. Chloe noted, \"((Avery is a fool) if and only if (Aria is a fool or Henry is a sage or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 875, \"statements\": [[\"or\", [\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"or\", [\"lying\", 6], [\"telling-truth\", 7], [\"lying\", 8]]], [\"and\", [\"or\", [\"lying\", 6], [\"telling-truth\", 8]], [\"not\", [\"telling-tr... | {"split": "train", "index": 18653} |
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, Oliver, Ethan, Zoey, Victoria, Aurora, Jackson, Abigail, and Lucas. Matthew remarked, \"Aurora is a knave\". Oliver commented, \"(Ethan is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 876, \"statements\": [[\"lying\", 5], [\"and\", [\"and\", [\"telling-truth\", 2], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]]]], [\"->\", [\"<=>\", [\"->\", [\"... | {"split": "train", "index": 18654} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Lily, Grace, Jacob, Scarlett, Aurora, Jackson, Aria, Penelope, and Lucas. Lily was heard saying, \"Scarlett is an altruist\". Grace expressed t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 877, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 4], [\"or\", [\"lying\", 8], [\"telling-truth\", 5], [\"telling-truth\", 4]]]], [\"lying\", 5], [\"->\", [\"not\", [\"lying\"... | {"split": "train", "index": 18655} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Elizabeth, Oliver, Jacob, Matthew, Luke, Ella, Scarlett, Jack, and Mason. Elizabeth remarked, \"if ((Oliver is a pioneer and Oliver is a laggar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 878, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1]], [\"lying\", 4]], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 1], [\"not\", [\"and\", [\"lying\", 5], [\"lying\", 8], [\"telling-tru... | {"split": "train", "index": 18656} |
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: Mia, Luke, Mason, Ava, Jacob, Matthew, Oliver, Penelope, and Abigail. Mia remarked, \"Oliver is a knave\". As Luke put it, \"it is not the case that ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 879, \"statements\": [[\"lying\", 6], [\"not\", [\"->\", [\"or\", [\"lying\", 5], [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 4], [\"telling-truth\", 2], [\"lying\", 5... | {"split": "train", "index": 18657} |
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, Aiden, Olivia, Samuel, Owen, Abigail, Matthew, Grace, and Oliver. In Emily's words: \"it is not the case that ((Oliver is an altruist or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 880, \"statements\": [[\"not\", [\"or\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 2]], [\"->\", [\"lying\", 5], [\"telling-truth\", 0]], [\"or\", [\"lying\", 6], [\"telling-truth\", 3], [\"lying\", 3], [\"telling-t... | {"split": "train", "index": 18658} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Elizabeth, Oliver, Amelia, Henry, Victoria, Avery, Harper, Chloe, and Jacob. Elizabeth asserted: \"if (if (Chloe is an altruist) then (Harper i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 881, \"statements\": [[\"->\", [\"->\", [\"not\", [\"lying\", 7]], [\"or\", [\"lying\", 6], [\"telling-truth\", 5], [\"lying\", 4]]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"or\", [\"telling-truth\", 6], [\"telling-... | {"split": "train", "index": 18659} |
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, Avery, Amelia, David, James, Daniel, William, Henry, and Emma. \"Amelia is a hero,\" Aurora declared. In Avery's words: \"if ((if David is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 882, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"lying\", 6]], [\"or\", [\"lying\", 4], [\"lying\", 5], [\"telling-truth\", 4], [\"lying\", 2]]], [\"or\", [\"lying\", 3], [\"... | {"split": "train", "index": 18660} |
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: William, Scarlett, Liam, Riley, Aurora, Daniel, Ethan, James, and Jackson. William told you that (it is not the case that (Jackson is a saint if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 883, \"statements\": [[\"<=>\", [\"not\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 6]]], [\"<=>\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 6], [\"lying\", 5]... | {"split": "train", "index": 18661} |
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, Harper, Victoria, Aurora, Riley, Amelia, Isabella, Grace, and Mason. David told you that Harper is a sage if and only if (it is not the case that (i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 884, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"not\", [\"->\", [\"lying\", 7], [\"telling-truth\", 4]]]], [\"<=>\", [\"and\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 7], [\"l... | {"split": "train", "index": 18662} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Emily, Lucas, Benjamin, Aiden, Sebastian, Mason, Henry, Alexander, and Ethan. Emily was heard saying, \"if (it is not the case that (Alexander ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 885, \"statements\": [[\"->\", [\"not\", [\"not\", [\"lying\", 7]]], [\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1], [\"lying\", 2], [\"lying\", 6]], [\"or\", [\"lying\", 4], [\"lying\", 8]]]], [\"and\", [\"or\", [\... | {"split": "train", "index": 18663} |
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, Henry, Avery, Oliver, Lucas, Elizabeth, Lily, Harper, and Aria. Noah remarked, \"((if Elizabeth is a sage then Oliver is a fool) or (Henry is a sage ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 886, \"statements\": [[\"and\", [\"or\", [\"->\", [\"telling-truth\", 5], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 6]]], [\"not\", [\"lying\", 8]], [\"and\", [\"telling-truth\", 0], [\"and\", [\"telling-t... | {"split": "train", "index": 18664} |
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: William, Harper, Avery, Sophia, Zoey, Aiden, Henry, Emma, and Alexander. \"(if (Henry is a sage or Harper is a sage) then Harper is a fool) or (it is not t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 887, \"statements\": [[\"or\", [\"->\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 1]], [\"lying\", 1]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"lying\", 6], [\"lying\", 5]... | {"split": "train", "index": 18665} |
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, Oliver, Elizabeth, Michael, Isabella, Aria, James, Amelia, and Sophia. Avery said that ((Elizabeth is a villain and Isabella is a villain and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 888, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 4], [\"lying\", 3]], [\"or\", [\"lying\", 6], [\"lying\", 7], [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [... | {"split": "train", "index": 18666} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: James, Lucas, Ava, Jack, Jackson, Grace, Daniel, Olivia, and Avery. \"if ((Jackson is a fool if and only if Ava is a fool) if and only if (Olivia is a fool... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 889, \"statements\": [[\"->\", [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 2]], [\"and\", [\"lying\", 7], [\"lying\", 1], [\"lying\", 2], [\"telling-truth\", 5]]], [\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0]... | {"split": "train", "index": 18667} |
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: Mason, Samuel, James, Victoria, Penelope, Amelia, Elizabeth, Logan, and Olivia. \"Amelia is a fool and (it is not the case that (if Olivia is a fool then L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 890, \"statements\": [[\"and\", [\"lying\", 5], [\"not\", [\"->\", [\"lying\", 8], [\"lying\", 7]]]], [\"not\", [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"telling-truth\", 6]]]], [\"not\", [\"and\", ... | {"split": "train", "index": 18668} |
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: Lily, Aria, Samuel, Chloe, Lucas, Abigail, Riley, William, and Evelyn. Lily was heard saying, \"(it is not the case that (Evelyn is a villain or Rile... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 891, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"lying\", 8], [\"lying\", 6], [\"lying\", 5]]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 6]]], [\"telling-truth\", 8], [\"->\", [\"->\", [\"or\", [\"telling-trut... | {"split": "train", "index": 18669} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: David, Ella, Olivia, Jack, Henry, Sofia, Harper, Elizabeth, and Jacob. In a statement by David: \"Olivia is a laggard if and only if ((Jack is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 892, \"statements\": [[\"<=>\", [\"lying\", 2], [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2], [\"lying\", 2], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 1], [\"lying\", 7]], [\"or\", [\"lying\", ... | {"split": "train", "index": 18670} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Jacob, Oliver, Sophia, Elizabeth, Victoria, Owen, Jack, Penelope, and Jackson. Jacob asserted: \"Penelope is a knave or Sophia is a knight or (if (So... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 893, \"statements\": [[\"or\", [\"lying\", 7], [\"telling-truth\", 2], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 1]]]], [\"->\", [\"<=>\", [\"not\", [\"lying\", 0]], [\"-... | {"split": "train", "index": 18671} |
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: Ella, Isabella, Evelyn, Mia, Lily, Charlotte, Jack, Liam, and Mason. Ella was heard saying, \"it is not the case that ((Liam is a sage or Evelyn is a sage ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 894, \"statements\": [[\"not\", [\"and\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 2], [\"lying\", 2], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 1]], [\"not\", [\"lying\", 2]]]], [\"lying\", 0]... | {"split": "train", "index": 18672} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Sofia, Lily, Isabella, Jack, Liam, Luke, Emily, Sebastian, and Zoey. \"Luke is a sage\" - Sofia. According to Lily, \"if Luke is a sage then ((Sebastian is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 895, \"statements\": [[\"not\", [\"lying\", 5]], [\"->\", [\"telling-truth\", 5], [\"and\", [\"not\", [\"lying\", 7]], [\"not\", [\"telling-truth\", 1]], [\"lying\", 0], [\"or\", [\"telling-truth\", 1], [\"lying\", 2], [\"tell... | {"split": "train", "index": 18673} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Lily, Daniel, Alexander, Ella, Sebastian, Joseph, Jackson, Jacob, and Logan. Lily asserted: \"Ella is an egoist and ((Sebastian is an egoist or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 896, \"statements\": [[\"and\", [\"lying\", 3], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 7]], [\"and\", [\"lying\", 6], [\"... | {"split": "train", "index": 18674} |
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: William, James, Samuel, Jacob, Mason, Oliver, Emma, Lily, and Aurora. William stated, \"Jacob is a devil\". \"(it is not the case that (if Oliver is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 897, \"statements\": [[\"lying\", 3], [\"and\", [\"not\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"lying\", 6], [\"lying\", 3]], [\"or\", [\"lying\", 7], [\"lying\", 2], [\"telling-trut... | {"split": "train", "index": 18675} |
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, Joseph, Henry, Logan, Amelia, Matthew, Chloe, Ella, and Ethan. Scarlett stated, \"if ((Henry is a pioneer) and (Scarlett is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 898, \"statements\": [[\"->\", [\"and\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 5]]]], [\"and\", [\"or\", [\"and\", [\"telling-tru... | {"split": "train", "index": 18676} |
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, Elizabeth, Henry, Logan, William, Samuel, Ella, Ethan, and Jack. \"it is not the case that (it is not the case that (Logan is an angel if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 899, \"statements\": [[\"not\", [\"not\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]]], [\"telling-truth\", 0], [\"or\", [\"or\", [\"not\", [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 1], [\"lying\", 0]]], [\... | {"split": "train", "index": 18677} |
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, Aria, Sophia, Amelia, Emily, Olivia, Ethan, Jack, and Victoria. Samuel noted, \"((Ethan is a laggard and Emily is a laggard and Sophia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 900, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"lying\", 6], [\"lying\", 4], [\"lying\", 2], [\"lying\", 1]], [\"telling-truth\", 3]], [\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 5]]]], [\"or\", [\"ly... | {"split": "train", "index": 18678} |
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, Scarlett, Zoey, Aurora, Ethan, Aria, Harper, Ella, and Mason. Luke said that if (if (Ella is a fool if and only if Aria is a sage) then Ella is a foo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 901, \"statements\": [[\"->\", [\"->\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 5]], [\"lying\", 7]], [\"or\", [\"lying\", 8], [\"or\", [\"lying\", 8], [\"lying\", 4], [\"lying\", 1], [\"telling-truth\", 6]], [\"->\", [\... | {"split": "train", "index": 18679} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Jack, Michael, Jacob, Oliver, Evelyn, Abigail, Lily, Mia, and Aurora. Jack noted, \"((Michael is a hero if and only if Michael is a villain) if and o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 902, \"statements\": [[\"or\", [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"not\", [\"lying\", 3]]], [\"and\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 0]], [\"not\", [\"lying\", 7]], [\"<=>\", [\"lying... | {"split": "train", "index": 18680} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Emma, Joseph, Alexander, Jack, Aurora, Zoey, Ella, Grace, and Benjamin. Emma stated, \"((Ella is a sage) if and only if (Jack is a fool or Aurora is a fool... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 903, \"statements\": [[\"<=>\", [\"<=>\", [\"not\", [\"lying\", 6]], [\"or\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 0], [\"lying\", 1]]], [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4], [\"telling-trut... | {"split": "train", "index": 18681} |
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: Aiden, Owen, Michael, Aurora, David, Alexander, Sophia, Joseph, and Isabella. \"if ((David is a pioneer) or Isabella is a pioneer or (Sophia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 904, \"statements\": [[\"->\", [\"or\", [\"not\", [\"lying\", 4]], [\"telling-truth\", 8], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 0], [\"lying\", 5]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [... | {"split": "train", "index": 18682} |
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, Ava, David, William, Abigail, Riley, Emma, Aiden, and Noah. \"((Aiden is a sage if and only if Noah is a sage) or (if Avery is a sage then Noah is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 905, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 7]]], [\"<=>\", [\"or\", [\"lying\", 2... | {"split": "train", "index": 18683} |
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, Charlotte, Liam, Henry, Lily, Daniel, Evelyn, Matthew, and Scarlett. David expressed that if (if (Daniel is a sinner) then David is a saint) t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 906, \"statements\": [[\"->\", [\"->\", [\"not\", [\"telling-truth\", 5]], [\"telling-truth\", 0]], [\"->\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 6]]]], [\"or\", [\"<... | {"split": "train", "index": 18684} |
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, Penelope, Aria, Ella, Jackson, Zoey, Chloe, William, and Sophia. Lucas said, \"Penelope is a pioneer.\" Penelope remarked, \"if ((if Sop... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 907, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"<=>\", [\"->\", [\"lying\", 8], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 5], [\"lying\", 4]]], [\"and\", [\"telling-truth\", 3], [\"not\", [\"lying\", 6]]... | {"split": "train", "index": 18685} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Aiden, Michael, Charlotte, Alexander, Grace, Scarlett, Jackson, Benjamin, and James. Aiden said, \"Scarlett is a saint.\" Michael stated, \"(Scarlett... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 908, \"statements\": [[\"telling-truth\", 5], [\"and\", [\"not\", [\"telling-truth\", 5]], [\"<=>\", [\"not\", [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 3]]], [\"not\", [\"not\", [\"telling-... | {"split": "train", "index": 18686} |
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, Samuel, Aria, Logan, Harper, Emily, Alexander, Luke, and Lucas. In a statement by Aurora: \"Emily is a villain\". Samuel remarked, \"Aurora i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 909, \"statements\": [[\"lying\", 5], [\"lying\", 0], [\"<=>\", [\"or\", [\"<=>\", [\"lying\", 3], [\"lying\", 6]], [\"->\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]... | {"split": "train", "index": 18687} |
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, Emily, David, Scarlett, Alexander, Sebastian, Mia, Olivia, and Mason. Zoey said, \"((if Mia is an altruist then David is an egoist) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 910, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"telling-truth\", 6], [\"lying\", 2]], [\"or\", [\"telling-truth\", 7], [\"lying\", 2], [\"telling-truth\", 6]]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 2], [... | {"split": "train", "index": 18688} |
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, Penelope, Joseph, Harper, Evelyn, Matthew, James, Grace, and Liam. In a statement by Victoria: \"it is not the case that ((Grace is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 911, \"statements\": [[\"not\", [\"<=>\", [\"or\", [\"lying\", 7], [\"telling-truth\", 4], [\"lying\", 2]], [\"->\", [\"telling-truth\", 8], [\"lying\", 2]]]], [\"<=>\", [\"and\", [\"and\", [\"lying\", 5], [\"telling-truth\", ... | {"split": "train", "index": 18689} |
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: Mia, Lucas, Chloe, Elizabeth, Ella, Avery, Jack, Zoey, and Joseph. In Mia's words: \"(it is not the case that (Lucas is a knave or Joseph is a knave ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 912, \"statements\": [[\"and\", [\"not\", [\"or\", [\"lying\", 1], [\"lying\", 8], [\"lying\", 2], [\"lying\", 7]]], [\"telling-truth\", 3], [\"->\", [\"not\", [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 6], [\"tell... | {"split": "train", "index": 18690} |
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, Sebastian, Aiden, David, Liam, Harper, Owen, Emma, and Isabella. Sophia stated, \"((Aiden is a hero or Liam is a hero or Emma is a hero) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 913, \"statements\": [[\"or\", [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4], [\"telling-truth\", 7]], [\"lying\", 2]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 4]], [\"telling-truth\", 1]]], [... | {"split": "train", "index": 18691} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Ethan, Sebastian, Logan, Victoria, Scarlett, Michael, Zoey, Daniel, and Isabella. Ethan told you that it is not the case that ((Sebastian is a sage if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 914, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 6]]]], [\"and\", [\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\... | {"split": "train", "index": 18692} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Sofia, William, Olivia, Aurora, Alexander, Lily, Ella, Noah, and Emma. \"((if Aurora is an altruist then Ella is an egoist) and (Alexander is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 915, \"statements\": [[\"or\", [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 6]], [\"not\", [\"lying\", 4]]], [\"telling-truth\", 7]], [\"or\", [\"not\", [\"or\", [\"lying\", 0], [\"lying\", 2], [\"telling-truth\", 6]... | {"split": "train", "index": 18693} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Jack, Charlotte, Grace, Emma, Scarlett, Lily, Olivia, Ava, and Alexander. Jack said, \"it is not the case that (it is not the case that (if Charlotte... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 916, \"statements\": [[\"not\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 5]]]], [\"<=>\", [\"lying\", 5], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 3], [\"telling-t... | {"split": "train", "index": 18694} |
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: Mia, Michael, Isabella, Riley, Sebastian, Emily, Alexander, Sophia, and Oliver. According to Mia, \"it is not the case that (Oliver is a knight if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 917, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 8]]], [\"telling-truth\", 0], [\"and\", [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"telling-truth\", 6]], [\"telling-truth... | {"split": "train", "index": 18695} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Lily, Alexander, William, Owen, Sebastian, Victoria, Michael, Grace, and Sofia. Lily remarked, \"if ((Michael is an altruist or Owen is an altr... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 918, \"statements\": [[\"->\", [\"<=>\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 3], [\"lying\", 5]], [\"lying\", 1]], [\"not\", [\"and\", [\"lying\", 6], [\"lying\", 4], [\"lying\", 8]]]], [\"or\", [\"or\", [\"an... | {"split": "train", "index": 18696} |
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: Mason, James, Michael, Jack, Avery, Amelia, Owen, Sophia, and Grace. Mason noted, \"Owen is a hero and ((Michael is a hero if and only if Jack is a h... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 919, \"statements\": [[\"and\", [\"telling-truth\", 6], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"telling-truth\", 7], [\"and\", [\"lying\", 7], [\"lying\", 1], [\"telling-truth\", 8]]], [\"->\", ... | {"split": "train", "index": 18697} |
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, Victoria, Riley, Oliver, Grace, Daniel, Ethan, Luke, and Amelia. \"(it is not the case that (Luke is a sage or Grace is a fool or Grace is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 920, \"statements\": [[\"and\", [\"not\", [\"or\", [\"telling-truth\", 7], [\"lying\", 4], [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"lying\", 6], [\"lying\", 4]], [\"->\", [\"lying\", 6], [\"telling-truth\", 4]], [\"->\"... | {"split": "train", "index": 18698} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Isabella, Ethan, Victoria, Aiden, Jacob, Zoey, Grace, Lily, and Aurora. Isabella stated, \"(it is not the case that (Aurora is a saint or Aiden is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 921, \"statements\": [[\"<=>\", [\"not\", [\"or\", [\"telling-truth\", 8], [\"lying\", 3], [\"lying\", 6]]], [\"or\", [\"->\", [\"lying\", 7], [\"telling-truth\", 6]], [\"->\", [\"lying\", 5], [\"lying\", 1]]]], [\"or\", [\"no... | {"split": "train", "index": 18699} |
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