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: Grace, Charlotte, Mia, Isabella, Benjamin, Sebastian, Owen, Daniel, and Penelope. Grace asserted: \"Daniel is an altruist if and only if (it is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1044, \"statements\": [[\"<=>\", [\"telling-truth\", 7], [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]]], [\"not\", [\"->\", [\"not\", [\"lying\", 2]], [\"or\", [\"telling-truth\", 6], [\"lying\", 0], [\"telling-t... | {"split": "train", "index": 16600} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Aiden, Evelyn, David, Henry, Emma, Aurora, Luke, Aria, and Ethan. Aiden said, \"it is not the case that ((Henry is an altruist and David is an ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1045, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 7]]]], [\"->\", [\"lying\", 7], [\"lying\", 5]], [\"and\", [\"or\", [\... | {"split": "train", "index": 16601} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: David, Sebastian, Zoey, Noah, Amelia, Lily, Oliver, Elizabeth, and Logan. \"((if Lily is a knight then Elizabeth is a knight) if and only if (Amelia ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1046, \"statements\": [[\"<=>\", [\"<=>\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 7]], [\"or\", [\"lying\", 4], [\"lying\", 2], [\"telling-truth\", 2]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-tru... | {"split": "train", "index": 16602} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Emily, Benjamin, Olivia, William, Alexander, Abigail, Matthew, Sofia, and Evelyn. Emily stated, \"((if Evelyn is an angel then Benjamin is a devil) if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1047, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 8], [\"lying\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"or\", [\"->\", [\"lying\", 5], [\"telling-truth\", 5]], [\"->\", [\"telling-tr... | {"split": "train", "index": 16603} |
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, Ella, Olivia, Matthew, Lucas, Grace, Penelope, Aria, and Oliver. Daniel said, \"((Aria is a pioneer or Olivia is a pioneer) or (if Matt... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1048, \"statements\": [[\"or\", [\"or\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"and\", [\"not\... | {"split": "train", "index": 16604} |
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, Joseph, Amelia, Henry, Mason, Evelyn, Jack, Jacob, and Chloe. According to Grace, \"((Henry is a saint and Grace is a saint) if and only if (H... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1049, \"statements\": [[\"and\", [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 3], [\"lying\", 2], [\"telling-truth\", 7]]], [\"->\", [\"or\", [\"lying\", 6], [\"telling-tru... | {"split": "train", "index": 16605} |
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, David, Ava, Daniel, Chloe, Elizabeth, Aurora, Benjamin, and Ethan. Zoey asserted: \"if (Elizabeth is an angel) then ((Daniel is an angel and Davi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1050, \"statements\": [[\"->\", [\"not\", [\"lying\", 5]], [\"and\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 1], [\"lying\", 4]], [\"telling-truth\", 1]]], [\"lying\", 6], [\"and\", [\"or\", [\"and\", [\"lying\",... | {"split": "train", "index": 16606} |
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, Noah, Benjamin, Emily, Scarlett, Logan, Henry, Owen, and Luke. Sofia expressed that Owen is a sage. \"if ((Scarlett is a sage if and only if Luke is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1051, \"statements\": [[\"telling-truth\", 7], [\"->\", [\"<=>\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 8]], [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 1]]], [\"telling-truth\", 1]], [\"not\", [\"not\", [\"->... | {"split": "train", "index": 16607} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Sebastian, Abigail, Lily, Aiden, Mia, Owen, Logan, Penelope, and Alexander. \"if ((Penelope is an angel and Alexander is a devil and Logan is a devil) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1052, \"statements\": [[\"->\", [\"<=>\", [\"and\", [\"telling-truth\", 7], [\"lying\", 8], [\"lying\", 6]], [\"<=>\", [\"lying\", 7], [\"lying\", 1]]], [\"or\", [\"not\", [\"telling-truth\", 7]], [\"->\", [\"lying\", 6], [\"l... | {"split": "train", "index": 16608} |
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, Michael, Joseph, Lucas, Alexander, Ethan, Harper, and Sofia. Ava noted, \"Joseph is an egoist\". \"((Sofia is an altruist or Ava is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1053, \"statements\": [[\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"or\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 0]], [\"and\", [\"lying\", 6], [\"telling-truth\", 8], [\"telling-truth\", 7]]], [\"or\", [\"tel... | {"split": "train", "index": 16609} |
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: Victoria, Luke, Logan, Avery, Mia, Lily, Scarlett, Sebastian, and Owen. Victoria remarked, \"((if Luke is a hero then Logan is a hero) and (Logan is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1054, \"statements\": [[\"and\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"lying\", 8], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 5], [\"lying... | {"split": "train", "index": 16610} |
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, James, William, Penelope, Sophia, Liam, Ella, Scarlett, and Noah. Jacob said that if (it is not the case that (William is an altruist if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1055, \"statements\": [[\"->\", [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"lying\", 8]], [\"or\", [\"not\", [\"not\", [\"lying\", 3]]], [\"lying\", 5]], [\"not\", [\"and\", [\"telling-truth\", 7],... | {"split": "train", "index": 16611} |
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: Isabella, Grace, Lily, Riley, Matthew, Owen, Jacob, Ava, and Aurora. Isabella commented, \"((if Grace is a hero then Jacob is a hero) and Jacob is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1056, \"statements\": [[\"or\", [\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 6]], [\"telling-truth\", 6], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 6]]], [\"<=>\", [\"or\", [\"lying\", 8], [\"telling-trut... | {"split": "train", "index": 16612} |
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: Daniel, Aurora, Penelope, Isabella, Ethan, Samuel, Liam, Lucas, and Benjamin. Daniel commented, \"it is not the case that (if (Ethan is an angel and Is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1057, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 7]]]], [\"and\", [\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 8], [\"... | {"split": "train", "index": 16613} |
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: Aurora, William, Scarlett, Avery, Emma, Mia, Henry, Riley, and Benjamin. In Aurora's words: \"Mia is a saint or ((if Riley is a sinner then Emma is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1058, \"statements\": [[\"or\", [\"telling-truth\", 5], [\"and\", [\"->\", [\"lying\", 7], [\"telling-truth\", 4]], [\"telling-truth\", 3], [\"not\", [\"lying\", 2]]]], [\"not\", [\"lying\", 6]], [\"and\", [\"lying\", 0], [\"<... | {"split": "train", "index": 16614} |
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, Noah, Aria, Ethan, Jacob, Matthew, Ava, Benjamin, and Emily. As Alexander put it, \"(it is not the case that (if Ethan is an egoist ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1059, \"statements\": [[\"or\", [\"not\", [\"->\", [\"lying\", 3], [\"lying\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 7]]]], [\"not\", [\"or\", [\"and\", [\"telli... | {"split": "train", "index": 16615} |
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, Luke, Sebastian, Lily, Michael, Noah, Harper, Aria, and Liam. Elizabeth said, \"(it is not the case that (if Lily is a knight then Liam is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1060, \"statements\": [[\"<=>\", [\"not\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 8]]], [\"<=>\", [\"and\", [\"telling-truth\", 7], [\"lying\", 1]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 1]]]], [\"or\", [... | {"split": "train", "index": 16616} |
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: Alexander, Mason, Liam, Sofia, Abigail, Riley, Amelia, Chloe, and Elizabeth. In Alexander's words: \"((if Sofia is a fool then Amelia is a fool) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1061, \"statements\": [[\"or\", [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 6]], [\"and\", [\"telling-truth\", 1], [\"lying\", 7], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"lying\", 6]]]], [\"->\", [\... | {"split": "train", "index": 16617} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Matthew, Sebastian, Lily, Liam, Zoey, Lucas, Jackson, Elizabeth, and Jacob. In a statement by Matthew: \"((Jacob is a villain and Zoey is a villain) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1062, \"statements\": [[\"<=>\", [\"and\", [\"and\", [\"lying\", 8], [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"lying\", 5]], [\"<=>\", [\"->\", [\"->\", [\"lying\", 6], [\"telling-truth\", 3]], [\... | {"split": "train", "index": 16618} |
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, Joseph, Sofia, Lucas, Victoria, Aiden, Chloe, Alexander, and Charlotte. According to Aurora, \"Alexander is an egoist\". Joseph told yo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1063, \"statements\": [[\"lying\", 7], [\"<=>\", [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"lying\", 2], [\"lying\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\", 8], [\"ly... | {"split": "train", "index": 16619} |
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: Emily, Liam, Aiden, Owen, Michael, Evelyn, Emma, Henry, and Benjamin. Emily stated, \"if ((if Aiden is a fool then Michael is a fool) or Michael is a sage)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1064, \"statements\": [[\"->\", [\"or\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 4], [\"not\", [\"telling-truth\", 6]]]], [\"or\", [\"<=>\", [\"telling-truth\", 7], [\"ly... | {"split": "train", "index": 16620} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Luke, Ethan, Ava, Riley, Olivia, Oliver, Joseph, David, and Ella. \"((Ella is an egoist or Ethan is an altruist or Ethan is an egoist) or (Etha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1065, \"statements\": [[\"or\", [\"or\", [\"or\", [\"lying\", 8], [\"telling-truth\", 1], [\"lying\", 1]], [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"telling-trut... | {"split": "train", "index": 16621} |
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, Luke, Aurora, Oliver, Daniel, Zoey, Avery, David, and Noah. Sofia remarked, \"(Zoey is a villain or (Oliver is a hero) or Luke is a villain) i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1066, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 5], [\"not\", [\"lying\", 3]], [\"lying\", 1]], [\"not\", [\"telling-truth\", 7]]], [\"or\", [\"telling-truth\", 0], [\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"not\", ... | {"split": "train", "index": 16622} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Jack, Aiden, Scarlett, Olivia, Isabella, Ella, Grace, Noah, and Oliver. \"((Oliver is an egoist and Olivia is an egoist) or (Ella is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1067, \"statements\": [[\"<=>\", [\"or\", [\"and\", [\"lying\", 8], [\"lying\", 3]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"lying\", 5]], [\"or\", [\"no... | {"split": "train", "index": 16623} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Emily, Jack, Oliver, Penelope, David, Scarlett, Victoria, Isabella, and Noah. \"((if Jack is a saint then David is a saint) if and only if (Scarlett ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1068, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 2], [\"lying\", 6]]], [\"and\", [\"->\", [\"telling-truth\", 5], [\"tell... | {"split": "train", "index": 16624} |
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, Aiden, Jacob, Joseph, Ava, Evelyn, Owen, Michael, and Mia. \"if Jacob is a fool then (Aiden is a fool and (Joseph is a sage if and only if Owen i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1069, \"statements\": [[\"->\", [\"lying\", 2], [\"and\", [\"lying\", 1], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [\"->\", [\"lying\", 7], [\"telling-truth\", 6]]]], [\"lying\", 8], [\"or\", [\"->\", [\"and\... | {"split": "train", "index": 16625} |
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, Penelope, Zoey, Scarlett, Sebastian, Evelyn, Jack, Sophia, and Noah. William stated, \"((if Noah is a fool then William is a sage) or Scarlett is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1070, \"statements\": [[\"and\", [\"or\", [\"->\", [\"lying\", 8], [\"telling-truth\", 0]], [\"telling-truth\", 3]], [\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 6]], [\"->\", [\"telling-truth\", 7], [\"lying\", 2]],... | {"split": "train", "index": 16626} |
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, Jackson, Owen, Lily, Matthew, Oliver, Mason, Evelyn, and Aiden. Jacob noted, \"(if (Jackson is a villain if and only if Lily is a hero) then (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1071, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"or\", [\"lying\", 4], [\"telling-truth\", 7], [\"lying\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"telling-truth\", 5]... | {"split": "train", "index": 16627} |
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, Mason, Alexander, Noah, Riley, Aiden, Amelia, Aurora, and Elizabeth. Penelope told you that Noah is a knight. Mason asserted: \"if Amelia i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1072, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"lying\", 6], [\"and\", [\"or\", [\"lying\", 7], [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"<=>\", [... | {"split": "train", "index": 16628} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: David, Charlotte, Jack, William, Riley, Henry, Aria, Emily, and Olivia. David stated, \"if ((Jack is a knave if and only if David is a knight) and (R... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1073, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"lying\", 8], [\"telling-truth\", 4]], [\"and\", [\"lying\", 5], [\"telling-truth\", 3], [\"lying\", 7]]],... | {"split": "train", "index": 16629} |
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, Liam, Ella, Lily, Avery, Charlotte, Victoria, Olivia, and Jacob. \"((Liam is a saint if and only if Liam is a sinner) and (Lily is a saint an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1074, \"statements\": [[\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]], [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 6]]], [\"<=>\", [\"or\", [\"lying\", 1], [\"lying\", 7]], [\"o... | {"split": "train", "index": 16630} |
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, Oliver, Aria, Luke, Benjamin, Isabella, Charlotte, Samuel, and Logan. According to Harper, \"it is not the case that ((Logan is a hero) if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1075, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"lying\", 8]], [\"and\", [\"lying\", 2], [\"lying\", 4]]]], [\"not\", [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 8], [\"telling-truth\", 7]], [\"<=>\", [\"tell... | {"split": "train", "index": 16631} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Matthew, Emma, Joseph, Oliver, Evelyn, Isabella, Harper, Noah, and Aurora. In Matthew's words: \"if (Noah is a sinner or (Oliver is a sinner)) then (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1076, \"statements\": [[\"->\", [\"or\", [\"lying\", 7], [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 5], [\"lying\", 2], [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 4], [\"lying\", 1]],... | {"split": "train", "index": 16632} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Isabella, Aurora, Zoey, Aiden, Olivia, Riley, Harper, Penelope, and Ethan. \"((Aiden is an angel) and (if Aiden is an angel then Aiden is a devil)) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1077, \"statements\": [[\"or\", [\"and\", [\"not\", [\"lying\", 3]], [\"->\", [\"telling-truth\", 3], [\"lying\", 3]]], [\"telling-truth\", 3], [\"<=>\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 8], [\"lying\", 1]]... | {"split": "train", "index": 16633} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Zoey, Luke, Michael, Logan, James, Henry, Sebastian, Emma, and Aurora. As Zoey put it, \"if ((Zoey is a villain) or (Sebastian is a villain and Auror... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1078, \"statements\": [[\"->\", [\"or\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying\", 6], [\"lying\", 8]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-t... | {"split": "train", "index": 16634} |
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: Luke, Jacob, Joseph, Harper, Emily, Victoria, Lily, David, and Grace. Luke expressed that David is a villain. \"(Lily is a hero and (David is a hero ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1079, \"statements\": [[\"lying\", 7], [\"and\", [\"and\", [\"telling-truth\", 6], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 2], [\"lying\", 7]], [\"not\", [\"lying\", 4]]], [\"not\", [\"or\", [\"lying\", 0], [\"lyi... | {"split": "train", "index": 16635} |
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: Harper, Daniel, Victoria, Mason, Ella, Chloe, Liam, Isabella, and Matthew. Harper noted, \"Chloe is a sage or ((Liam is a fool or Harper is a sage) if and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1080, \"statements\": [[\"or\", [\"telling-truth\", 5], [\"<=>\", [\"or\", [\"lying\", 6], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 8], [\"lying\", 6]]], [\"<=>\", [\"or\", [\"lying\", 5], [\"telling-truth\", 5], ... | {"split": "train", "index": 16636} |
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: Aurora, Aria, Noah, Sebastian, Penelope, Benjamin, Ella, Scarlett, and Daniel. Aurora noted, \"Aria is a saint and ((Penelope is a sinner) if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1081, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 8]]], [\"<=>\", [\"lying\", 1], [\"->\", [\"telling-truth\", 5], [\"telling-tr... | {"split": "train", "index": 16637} |
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, Logan, Charlotte, Ella, Scarlett, Emily, Isabella, Matthew, and Zoey. Mia expressed that ((Logan is a fool if and only if Matthew is a sage) or (Zoey ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1082, \"statements\": [[\"<=>\", [\"or\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 7]], [\"<=>\", [\"lying\", 8], [\"lying\", 6]], [\"not\", [\"telling-truth\", 7]]], [\"not\", [\"<=>\", [\"telling-truth\", 6], [\"telling... | {"split": "train", "index": 16638} |
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, Sebastian, James, Grace, Lily, Matthew, Jackson, Ella, and Sofia. Isabella said, \"if ((if Matthew is a sinner then James is a sinner) or (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1083, \"statements\": [[\"->\", [\"or\", [\"->\", [\"lying\", 5], [\"lying\", 2]], [\"not\", [\"lying\", 1]]], [\"->\", [\"telling-truth\", 7], [\"->\", [\"lying\", 7], [\"telling-truth\", 7]]]], [\"and\", [\"telling-truth\", ... | {"split": "train", "index": 16639} |
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: Ella, Ethan, Emma, Elizabeth, Zoey, Aria, William, Jack, and Joseph. In Ella's words: \"(if (Joseph is a pioneer or Jack is a pioneer or Jack i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1084, \"statements\": [[\"and\", [\"->\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 7], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 8]]], [\"not\", [\"not\", [\"lying\", 8]]], [\"not\", [\"telling... | {"split": "train", "index": 16640} |
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, Grace, Matthew, Liam, Scarlett, Jack, Ella, Aiden, and Aurora. According to James, \"Grace is a fool\". Grace told you that (it is not the case that... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1085, \"statements\": [[\"lying\", 1], [\"<=>\", [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 8], [\"lying\", 5], [\"telling-truth\", 4]], [\"and\", [\"lying\", 8], [\"tell... | {"split": "train", "index": 16641} |
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, Noah, Harper, Isabella, Henry, Aurora, Elizabeth, Charlotte, and Michael. Ethan said, \"if Charlotte is a villain then Aurora is a villain.\" ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1086, \"statements\": [[\"->\", [\"lying\", 7], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 6], [\"not\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 2], [\"lying\", 0]]]], [\"or\", [\"or\", [\"<=>\", [\"telling-t... | {"split": "train", "index": 16642} |
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, Charlotte, Zoey, Ava, Mia, Alexander, Victoria, Aurora, and Isabella. As Olivia put it, \"(it is not the case that (Charlotte is a saint and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1087, \"statements\": [[\"<=>\", [\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"lying\", 3]], [\"not\", [\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 5]], [\"<=>\", [\"lying\", 3], [\"lying\"... | {"split": "train", "index": 16643} |
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: Owen, Scarlett, Sofia, Luke, Grace, Abigail, Sophia, Alexander, and Matthew. \"if ((Abigail is a villain if and only if Sophia is a hero) or (if Soph... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1088, \"statements\": [[\"->\", [\"or\", [\"<=>\", [\"lying\", 5], [\"telling-truth\", 6]], [\"->\", [\"lying\", 6], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"and\", [\"or\", [\"telling-tru... | {"split": "train", "index": 16644} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: James, Chloe, Scarlett, Aria, Sebastian, William, David, Olivia, and Riley. In James's words: \"it is not the case that (if (Scarlett is a saint and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1089, \"statements\": [[\"not\", [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 5], [\"lying\", 7]]]], [\"telling-truth\", 0], [\"and\", [\"->\", [\"telling-truth\", 1], [\"and... | {"split": "train", "index": 16645} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Zoey, Grace, Emily, Jack, Penelope, Noah, Matthew, Scarlett, and Alexander. \"Jack is a knave\" - Zoey. \"Noah is a knave and ((Jack is a knave if an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1090, \"statements\": [[\"lying\", 3], [\"and\", [\"lying\", 5], [\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 8]], [\"not\", [\"telling-truth\", 0]]]], [\"or\", [\"telling-truth\", 7], [\"<=>\", [\"->\", [\"telling-... | {"split": "train", "index": 16646} |
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: Joseph, Luke, Oliver, Samuel, Isabella, Zoey, Jack, Riley, and Charlotte. \"(Samuel is a knight or (if Isabella is a knight then Zoey is a knight) or... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1091, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"or\", [\"lying\", 4], [\"lying\", 3], [\"telling-truth\", 2]]], [\"->\", [\"and\", [\"telling-truth\... | {"split": "train", "index": 16647} |
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, Avery, Sofia, Aiden, Aria, Elizabeth, Jacob, Abigail, and Zoey. Oliver noted, \"(Zoey is a knave) or (if Abigail is a knave then (if Elizabet... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1092, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 8]], [\"->\", [\"lying\", 7], [\"->\", [\"lying\", 5], [\"telling-truth\", 4]]]], [\"and\", [\"telling-truth\", 2], [\"or\", [\"->\", [\"lying\", 6], [\"lying\", 5]... | {"split": "train", "index": 16648} |
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, Grace, Victoria, Jackson, Avery, Olivia, Mia, Abigail, and Henry. In a statement by Michael: \"if ((Abigail is a saint if and only if Abigai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1093, \"statements\": [[\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 7], [\"lying\", 7]], [\"and\", [\"telling-truth\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 8], [\"lying\", 1]]], [\"<=>\", [\"->\", [\"telling-t... | {"split": "train", "index": 16649} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Aria, Penelope, Harper, Logan, Mia, Evelyn, Scarlett, Ella, and Lily. According to Aria, \"((if Evelyn is an altruist then Lily is an egoist) o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1094, \"statements\": [[\"<=>\", [\"or\", [\"->\", [\"telling-truth\", 5], [\"lying\", 8]], [\"not\", [\"lying\", 3]]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 8]]]], [\"and\", [\"->\", [\"<=>\", [\"l... | {"split": "train", "index": 16650} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Logan, Amelia, Riley, Liam, Daniel, Olivia, Michael, Harper, and Luke. Logan asserted: \"((Luke is a knight or Amelia is a knight) if and only if Mic... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1095, \"statements\": [[\"and\", [\"<=>\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"lying\", 6]], [\"not\", [\"lying\", 1]], [\"not\", [\"not\", [\"telling-truth\", 6]]]], [\"or\", [\"->\", [\"or\", [\"tell... | {"split": "train", "index": 16651} |
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, Jack, Logan, Riley, Amelia, Emily, Grace, Evelyn, and Alexander. According to Ethan, \"Grace is an altruist and ((if Alexander is an ego... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1096, \"statements\": [[\"and\", [\"telling-truth\", 6], [\"<=>\", [\"->\", [\"lying\", 8], [\"lying\", 7]], [\"not\", [\"lying\", 6]]]], [\"->\", [\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 6]], [\"and\", [\"telling-truth... | {"split": "train", "index": 16652} |
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, Liam, Sofia, Joseph, Benjamin, Alexander, Oliver, Grace, and Sebastian. Evelyn said, \"if ((if Liam is a pioneer then Alexander is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1097, \"statements\": [[\"->\", [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 5]], [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3], [\"lying\", 7]]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-trut... | {"split": "train", "index": 16653} |
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, Owen, Ethan, Chloe, Sofia, Noah, Emma, Sophia, and Lily. As Jack put it, \"(Sofia is a knave if and only if Emma is a knight) and Chloe is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1098, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 6]], [\"telling-truth\", 3], [\"<=>\", [\"lying\", 8], [\"and\", [\"lying\", 6], [\"lying\", 1]]]], [\"not\", [\"and\", [\"->\", [\"lying\", 8], [\... | {"split": "train", "index": 16654} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Olivia, Henry, Sophia, Elizabeth, Benjamin, Noah, Grace, Aiden, and Jackson. Olivia asserted: \"Elizabeth is an angel\". Henry asserted: \"it is not th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1099, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 3]], [\"and\", [\"lying\", 5], [\"telling-truth\", 1], [\"lying\", 4]]]], [\"lying\", 8],... | {"split": "train", "index": 16655} |
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: Charlotte, Benjamin, Zoey, Evelyn, Alexander, Ella, William, Ethan, and Sophia. Charlotte remarked, \"Alexander is a saint or Sophia is a sinner or E... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1100, \"statements\": [[\"or\", [\"telling-truth\", 4], [\"lying\", 8], [\"telling-truth\", 7]], [\"and\", [\"<=>\", [\"->\", [\"lying\", 5], [\"lying\", 8]], [\"lying\", 8]], [\"<=>\", [\"->\", [\"lying\", 0], [\"telling-trut... | {"split": "train", "index": 16656} |
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, Ava, Abigail, Daniel, Ethan, Emily, Mason, Riley, and Olivia. \"Olivia is a knave\" - Jack. Ava told you that Emily is a knight. \"Daniel is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1101, \"statements\": [[\"not\", [\"telling-truth\", 8]], [\"telling-truth\", 5], [\"lying\", 3], [\"and\", [\"not\", [\"not\", [\"lying\", 2]]], [\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 5], [\"lying\", 5... | {"split": "train", "index": 16657} |
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, Luke, Penelope, Scarlett, James, Aria, William, Olivia, and Abigail. Zoey said, \"((if Scarlett is a sinner then James is a sinner) if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1102, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"not\", [\"lying\", 6]]], [\"telling-truth\", 7], [\"->\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 0]], [\"or\", [\"telling-t... | {"split": "train", "index": 16658} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Michael, Mason, Penelope, Liam, William, Daniel, Lily, Ella, and Mia. Michael said, \"Liam is a pioneer.\" Mason said that if (it is not the ca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1103, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"not\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 5], [\"lying\", 4]]], [\"lying\", 2]], [\"<=>\", [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 7]... | {"split": "train", "index": 16659} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Olivia, James, Noah, Chloe, Emily, Oliver, Charlotte, Scarlett, and Jackson. Olivia said, \"((Emily is a devil) and Charlotte is a devil and (Jackson i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1104, \"statements\": [[\"or\", [\"and\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 6], [\"or\", [\"telling-truth\", 8], [\"lying\", 5], [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"telling-truth\", 5], [\"lying\", 8]]... | {"split": "train", "index": 16660} |
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, Sophia, Oliver, Penelope, Olivia, Charlotte, Avery, Noah, and Elizabeth. In Emily's words: \"Olivia is a pioneer\". According to Sophia,... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1105, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"telling-truth\", 2], [\"lying\", 4]], [\"not\", [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 5], [\... | {"split": "train", "index": 16661} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Sofia, Penelope, Logan, Sophia, Jackson, Jack, Sebastian, Charlotte, and Alexander. Sofia said, \"(if (Charlotte is a sinner or Alexander is a sinner... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1106, \"statements\": [[\"and\", [\"->\", [\"or\", [\"lying\", 7], [\"lying\", 8], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 4]... | {"split": "train", "index": 16662} |
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, Daniel, Matthew, Harper, Aria, Penelope, Sebastian, Luke, and Avery. Mia noted, \"Aria is a knight and Matthew is a knight\". In a statement by ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1107, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"telling-truth\", 6], [\"->\", [\"and\", [\"or\", [\"lying\", 6], [\"lying\", 0]], [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]], [\"lying... | {"split": "train", "index": 16663} |
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, Ella, Charlotte, Abigail, Harper, Luke, Matthew, Evelyn, and Mason. Chloe commented, \"if (if (Mason is a knight) then (Luke is a knave and Ch... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1108, \"statements\": [[\"->\", [\"->\", [\"not\", [\"lying\", 8]], [\"and\", [\"lying\", 5], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 8], [\"telling-truth\", 1]], [\"telling-truth\", 4]]], [\"and\", [\"... | {"split": "train", "index": 16664} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Charlotte, Samuel, Sebastian, David, Olivia, Alexander, Aiden, Avery, and Aurora. \"((if Avery is a knave then Sebastian is a knight) if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1109, \"statements\": [[\"and\", [\"<=>\", [\"->\", [\"lying\", 7], [\"telling-truth\", 2]], [\"->\", [\"lying\", 8], [\"telling-truth\", 2]]], [\"->\", [\"telling-truth\", 6], [\"and\", [\"telling-truth\", 1], [\"telling-trut... | {"split": "train", "index": 16665} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: David, Logan, Avery, Mia, Abigail, William, Joseph, Alexander, and Penelope. \"it is not the case that ((Alexander is a villain and Alexander is a he... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1110, \"statements\": [[\"not\", [\"<=>\", [\"and\", [\"lying\", 7], [\"telling-truth\", 7]], [\"not\", [\"telling-truth\", 5]]]], [\"<=>\", [\"not\", [\"not\", [\"lying\", 8]]], [\"and\", [\"and\", [\"telling-truth\", 7], [\"... | {"split": "train", "index": 16666} |
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: Aria, Noah, Alexander, Penelope, Owen, Jack, Jackson, Aurora, and Charlotte. Aria said that it is not the case that (it is not the case that (Penelop... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1111, \"statements\": [[\"not\", [\"not\", [\"or\", [\"lying\", 3], [\"telling-truth\", 5], [\"lying\", 2]]]], [\"or\", [\"or\", [\"lying\", 7], [\"<=>\", [\"lying\", 2], [\"lying\", 5]]], [\"<=>\", [\"not\", [\"lying\", 8]], ... | {"split": "train", "index": 16667} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Jack, Olivia, Abigail, James, Ethan, Mia, Zoey, Liam, and Isabella. Jack expressed that Olivia is an egoist. Olivia noted, \"(Ethan is an altru... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1112, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"and\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"<=>\", [\"lying\", 8], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 0]]], [\"or\", [\"<=>\", [\"lyin... | {"split": "train", "index": 16668} |
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, Ethan, Riley, Alexander, Sebastian, Chloe, Ella, Owen, and Penelope. In Abigail's words: \"if ((Ethan is an angel and Abigail is an angel) or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1113, \"statements\": [[\"->\", [\"or\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"not\", [\"lying\", 1]]], [\"or\", [\"telling-truth\", 8], [\"->\", [\"lying\", 7], [\"telling-truth\", 6]]]], [\"or\", [\"a... | {"split": "train", "index": 16669} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Zoey, Mason, Abigail, Liam, Emily, Ava, Alexander, Ethan, and Amelia. Zoey stated, \"(if (Amelia is a knight) then (if Amelia is a knave then Alexand... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1114, \"statements\": [[\"or\", [\"->\", [\"not\", [\"lying\", 8]], [\"->\", [\"lying\", 8], [\"lying\", 6]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 0]], [\"lying\", 6]], [\"and\", [\"not\", [\"telling-truth\"... | {"split": "train", "index": 16670} |
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, Ella, Liam, David, Avery, Riley, Joseph, William, and Aiden. Jackson asserted: \"if ((Liam is a villain) or (Riley is a villain and Ella is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1115, \"statements\": [[\"->\", [\"or\", [\"not\", [\"telling-truth\", 2]], [\"and\", [\"lying\", 5], [\"lying\", 1], [\"telling-truth\", 4]]], [\"or\", [\"telling-truth\", 6], [\"and\", [\"lying\", 2], [\"telling-truth\", 7]]... | {"split": "train", "index": 16671} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Joseph, Avery, Sofia, Oliver, William, Alexander, Ava, Mason, and Olivia. Joseph expressed that if (Sofia is a sage or (Oliver is a fool or Olivia is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1116, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 2], [\"or\", [\"lying\", 3], [\"telling-truth\", 8], [\"lying\", 8]], [\"->\", [\"telling-truth\", 6], [\"lying\", 8]]], [\"->\", [\"and\", [\"lying\", 6], [\"tellin... | {"split": "train", "index": 16672} |
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, Penelope, Elizabeth, Scarlett, Zoey, Luke, David, Grace, and Ethan. Ava noted, \"(if (Grace is a laggard if and only if Ethan is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1117, \"statements\": [[\"<=>\", [\"->\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 8], [\"lying\", 2], [\"lying\", 6]]], [\"or\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 7]... | {"split": "train", "index": 16673} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Sofia, Joseph, Liam, Jacob, Charlotte, Aria, Victoria, Mason, and Zoey. \"it is not the case that ((if Sofia is a pioneer then Zoey is a laggar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1118, \"statements\": [[\"not\", [\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 8]], [\"or\", [\"telling-truth\", 7], [\"telling-truth\", 5], [\"lying\", 1]]]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 6]], [\"->\... | {"split": "train", "index": 16674} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Harper, Riley, Olivia, Alexander, Daniel, Liam, Jackson, Scarlett, and William. Harper noted, \"Liam is a sinner and ((Alexander is a sinner) and (Ol... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1119, \"statements\": [[\"and\", [\"lying\", 5], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"->\", [\"lying\", 4], [\"lying\", 7]]]], [\"not\", [\"and\", [\"or\", [\"lying\", 4], ... | {"split": "train", "index": 16675} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Mia, Oliver, Daniel, Evelyn, James, Olivia, Sophia, Harper, and Ethan. According to Mia, \"(it is not the case that (James is a pioneer or Jame... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1120, \"statements\": [[\"or\", [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 4], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 5], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth... | {"split": "train", "index": 16676} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Emily, Abigail, Sophia, Joseph, Ethan, Ava, Victoria, Michael, and Noah. Emily stated, \"it is not the case that (if (if Noah is a devil then Sophia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1121, \"statements\": [[\"not\", [\"->\", [\"->\", [\"lying\", 8], [\"lying\", 2]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 5], [\"telling-truth\", 2]]]], [\"->\", [\"and\", [\"<=>\", [\"telling-truth\", 5], [\"ly... | {"split": "train", "index": 16677} |
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, Avery, Isabella, Lily, Liam, Penelope, Matthew, Ava, and Amelia. \"(it is not the case that (Penelope is a pioneer)) and Amelia is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1122, \"statements\": [[\"and\", [\"not\", [\"not\", [\"lying\", 5]]], [\"telling-truth\", 8]], [\"->\", [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 6]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2], [\"telling-... | {"split": "train", "index": 16678} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Logan, Amelia, William, Benjamin, Isabella, Jacob, Aurora, Chloe, and Jackson. Logan asserted: \"Logan is an altruist or (William is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1123, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"not\", [\"lying\", 2]]], [\"or\", [\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 5]], [\"not\", [\"lying\", 0]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"tellin... | {"split": "train", "index": 16679} |
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, Olivia, Sophia, Harper, Riley, Amelia, Logan, Oliver, and William. Avery was heard saying, \"it is not the case that ((Amelia is a saint) if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1124, \"statements\": [[\"not\", [\"<=>\", [\"not\", [\"lying\", 5]], [\"telling-truth\", 3]]], [\"not\", [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 6]], [\"or\", [\"lying\", 8], [\"telling-truth\", 0], [\"... | {"split": "train", "index": 16680} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: David, Evelyn, Daniel, Jackson, Emma, Noah, Ava, Alexander, and Lily. David stated, \"if (if (David is an egoist) then Jackson is an egoist) th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1125, \"statements\": [[\"->\", [\"->\", [\"not\", [\"telling-truth\", 0]], [\"lying\", 3]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], [\"lying\", 8], [\"->\", [\"lying\", 5], [\"telling-truth\", 6]]]], [\"or... | {"split": "train", "index": 16681} |
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, Aiden, Evelyn, Aria, Lily, Penelope, Michael, Logan, and Oliver. Jackson asserted: \"(Aiden is a hero) if and only if (it is not the case th... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1126, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 1]], [\"not\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]]]], [\"<=>\", [\"->\", [\"or\", [\"lying\", 5], [\"telling-truth\", 5], [\"lying\", 2]], [\"or\", [\"lying\... | {"split": "train", "index": 16682} |
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, Evelyn, Mia, Ella, Michael, Olivia, Joseph, Alexander, and Victoria. In Jack's words: \"Victoria is a devil\". Evelyn told you that Michael is an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1127, \"statements\": [[\"lying\", 8], [\"or\", [\"telling-truth\", 4], [\"not\", [\"or\", [\"lying\", 3], [\"lying\", 6]]]], [\"telling-truth\", 2], [\"->\", [\"lying\", 4], [\"or\", [\"and\", [\"lying\", 1], [\"telling-truth... | {"split": "train", "index": 16683} |
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, Abigail, Sofia, Elizabeth, Ethan, Penelope, Alexander, Logan, and William. In a statement by Noah: \"William is a saint\". Abigail asserted: \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1128, \"statements\": [[\"not\", [\"lying\", 8]], [\"telling-truth\", 8], [\"or\", [\"not\", [\"->\", [\"lying\", 0], [\"telling-truth\", 8]]], [\"->\", [\"not\", [\"telling-truth\", 7]], [\"->\", [\"telling-truth\", 2], [\"te... | {"split": "train", "index": 16684} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Noah, Sebastian, William, Luke, Avery, Riley, Aria, Ava, and Chloe. Noah stated, \"((Ava is a villain) or (Riley is a hero if and only if Sebastian i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1129, \"statements\": [[\"or\", [\"or\", [\"not\", [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 1]], [\"or\", [\"lying\", 3], [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"l... | {"split": "train", "index": 16685} |
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: Sebastian, Joseph, Henry, Riley, Elizabeth, Aria, Charlotte, Emily, and Jackson. Sebastian asserted: \"if (it is not the case that (Elizabeth is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1130, \"statements\": [[\"->\", [\"not\", [\"not\", [\"lying\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 1], [\"lying\", 5]], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 4]]]], [\... | {"split": "train", "index": 16686} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Logan, Noah, Lucas, Owen, Emily, Abigail, Aurora, Isabella, and Emma. Logan stated, \"((Aurora is a hero or Noah is a hero or Isabella is a villain) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1131, \"statements\": [[\"and\", [\"or\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 1], [\"lying\", 7]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", 8], [\"tell... | {"split": "train", "index": 16687} |
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, Alexander, Emma, James, Aurora, Mason, Grace, Daniel, and William. In a statement by Ava: \"it is not the case that ((Daniel is a fool if and only if ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1132, \"statements\": [[\"not\", [\"<=>\", [\"<=>\", [\"lying\", 7], [\"lying\", 3]], [\"and\", [\"telling-truth\", 8], [\"lying\", 3], [\"telling-truth\", 2]]]], [\"->\", [\"and\", [\"lying\", 8], [\"or\", [\"lying\", 7], [\"... | {"split": "train", "index": 16688} |
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, Scarlett, Riley, Logan, Olivia, Amelia, Isabella, Alexander, and Jackson. Samuel expressed that Alexander is a sage. Scarlett noted, \"if (it is no... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1133, \"statements\": [[\"telling-truth\", 7], [\"->\", [\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"->\", [\"->\", [\"lying\", 7], [\"lying\", 6]], [\"lying\", 5]]], [\"or\", [\"or\", [\"->\", [\"te... | {"split": "train", "index": 16689} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Jackson, Benjamin, Ethan, Owen, Penelope, Matthew, Isabella, Mason, and Grace. Jackson said that (it is not the case that (Matthew is a sinner)) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1134, \"statements\": [[\"and\", [\"not\", [\"not\", [\"telling-truth\", 5]]], [\"telling-truth\", 7]], [\"<=>\", [\"telling-truth\", 3], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 0], [\"lying\", 4]]]], [\"not\",... | {"split": "train", "index": 16690} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Charlotte, Elizabeth, Chloe, Jackson, Liam, David, Grace, Lucas, and Ethan. In a statement by Charlotte: \"((Lucas is an angel and Jackson is a devil a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1135, \"statements\": [[\"and\", [\"and\", [\"and\", [\"telling-truth\", 7], [\"lying\", 3], [\"lying\", 6]], [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 5],... | {"split": "train", "index": 16691} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Jackson, Emily, Ella, Alexander, Zoey, Daniel, Benjamin, Aiden, and Olivia. Jackson remarked, \"it is not the case that ((Olivia is a knave) and Jack... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1136, \"statements\": [[\"not\", [\"and\", [\"not\", [\"telling-truth\", 8]], [\"telling-truth\", 0]]], [\"lying\", 7], [\"telling-truth\", 2], [\"or\", [\"or\", [\"<=>\", [\"lying\", 8], [\"telling-truth\", 6]], [\"<=>\", [\"... | {"split": "train", "index": 16692} |
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, Owen, James, Isabella, Ella, Abigail, Emily, Chloe, and Logan. Jack expressed that Abigail is a devil. In a statement by Owen: \"((Emily is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1137, \"statements\": [[\"lying\", 5], [\"<=>\", [\"and\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 7]], [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 0]]], [\"or\", [\"lying\", 2], [\"not\", [\"telling-tru... | {"split": "train", "index": 16693} |
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: Benjamin, Isabella, Mason, Jackson, Michael, Owen, Jacob, Olivia, and Lucas. In Benjamin's words: \"Lucas is an altruist\". According to Isabel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1138, \"statements\": [[\"telling-truth\", 8], [\"or\", [\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 5]], [\"telling-truth\", 6]], [\"or\", [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 2]], [\"and\", [\"lying\... | {"split": "train", "index": 16694} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Lucas, Olivia, Ethan, Scarlett, Harper, Abigail, Lily, Sofia, and Penelope. Lucas commented, \"if ((Ethan is an altruist or Olivia is an altrui... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1139, \"statements\": [[\"->\", [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\"... | {"split": "train", "index": 16695} |
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, Charlotte, Ethan, Sebastian, Liam, James, Joseph, Daniel, and Zoey. Sofia said, \"it is not the case that (if Zoey is an angel then (Daniel is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1140, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 8], [\"and\", [\"lying\", 7], [\"telling-truth\", 5], [\"lying\", 3]]]], [\"or\", [\"or\", [\"not\", [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 3], [\"ly... | {"split": "train", "index": 16696} |
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, William, Logan, Benjamin, Oliver, Penelope, Liam, Avery, and Ella. Daniel told you that Avery is a villain and ((Avery is a hero if and only ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1141, \"statements\": [[\"and\", [\"lying\", 7], [\"and\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 6]], [\"->\", [\"lying\", 5], [\"lying\", 6]]]], [\"and\", [\"and\", [\"and\", [\"telling-truth\", 3], [\"lying\"... | {"split": "train", "index": 16697} |
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, Sofia, Benjamin, Aurora, Jacob, Henry, Joseph, Isabella, and Aiden. \"Benjamin is a fool\" - Sebastian. \"if Sebastian is a fool then ((Sebastia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1142, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"->\", [\"lying\", 0], [\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 6], [\"lying\", 4]], [\"->\", [\"lying\", 0], [\"telling-truth\", 7]], [\"not\", [\"lying... | {"split": "train", "index": 16698} |
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: Mason, James, Emily, Benjamin, Aiden, Sebastian, Jackson, Harper, and Luke. \"it is not the case that ((Emily is a devil) and (James is an angel) and (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1143, \"statements\": [[\"not\", [\"and\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 1]], [\"and\", [\"telling-truth\", 5], [\"lying\", 4], [\"lying\", 2]]]], [\"telling-truth\", 3], [\"lying\", 1], [\"or\", [\"... | {"split": "train", "index": 16699} |
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