sample_id stringlengths 10 15 | record_id stringlengths 18 23 | dataset stringclasses 4
values | model stringclasses 3
values | input stringlengths 0 1.63k | gold_answer stringlengths 1 226 | raw_output stringlengths 771 22.8k | reasoning stringlengths 0 14k | content stringlengths 0 22.8k | timestamp float64 1.78B 1.79B | trace_id stringlengths 26 46 ⌀ | line_number int64 1 2k ⌀ | attempts int64 1 1 ⌀ |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
cladder_0033 | cladder_train_000032 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Okay, so I'm trying to figure out whether setting the alarm by the husband decreases the chance of the alarm ringing. Let me break this down step by step.
First, the background information says that the husband has a direct effect on the wife and the alarm clock. The wife, in turn, has a direct effect on the alarm clo... | Okay, so I'm trying to figure out whether setting the alarm by the husband decreases the chance of the alarm ringing. Let me break this down step by step.
First, the background information says that the husband has a direct effect on the wife and the alarm clock. The wife, in turn, has a direct effect on the alarm clo... | 1,785,261,977.287148 | cladder::L000033::DeepSeek-R1-Distill-Llama-8B | 33 | 1 | ||
cladder_0008 | cladder_train_000007 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Okay, so I'm trying to figure out whether a ringing alarm is less likely than a silent alarm overall. Let me start by breaking down the information given.
First, the background says that the husband has a direct effect on the alarm clock, as does the wife. That means both can set or influence the alarm. The given info... | Okay, so I'm trying to figure out whether a ringing alarm is less likely than a silent alarm overall. Let me start by breaking down the information given.
First, the background says that the husband has a direct effect on the alarm clock, as does the wife. That means both can set or influence the alarm. The given info... | 1,785,261,980.188071 | cladder::L000008::DeepSeek-R1-Distill-Llama-8B | 8 | 1 | ||
cladder_0004 | cladder_train_000003 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Okay, so I need to figure out whether setting the alarm by the husband decreases the chance of the alarm ringing. Let me start by understanding the given information.
First, the background says that the husband has a direct effect on the wife and the alarm clock. The wife also has a direct effect on the alarm clock. S... | Okay, so I need to figure out whether setting the alarm by the husband decreases the chance of the alarm ringing. Let me start by understanding the given information.
First, the background says that the husband has a direct effect on the wife and the alarm clock. The wife also has a direct effect on the alarm clock. S... | 1,785,261,980.280934 | cladder::L000004::DeepSeek-R1-Distill-Llama-8B | 4 | 1 | ||
cladder_0015 | cladder_train_000014 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Okay, so I'm trying to figure out whether Method 1 or Method 2 is more correct for understanding how the husband affects the alarm clock. Let me start by breaking down the information given.
First, the background says that the husband has a direct effect on the wife, and the wife has a direct effect on the alarm clock... | Okay, so I'm trying to figure out whether Method 1 or Method 2 is more correct for understanding how the husband affects the alarm clock. Let me start by breaking down the information given.
First, the background says that the husband has a direct effect on the wife, and the wife has a direct effect on the alarm clock... | 1,785,261,980.373624 | cladder::L000015::DeepSeek-R1-Distill-Llama-8B | 15 | 1 | ||
cladder_0079 | cladder_train_000078 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Okay, so I need to figure out whether Method 1 or Method 2 is more correct for understanding how the manager affects the employee, given the specific causal relationships provided.
First, let's break down the background information. We have a CEO who directly affects the director and the manager. The manager, in turn,... | Okay, so I need to figure out whether Method 1 or Method 2 is more correct for understanding how the manager affects the employee, given the specific causal relationships provided.
First, let's break down the background information. We have a CEO who directly affects the director and the manager. The manager, in turn,... | 1,785,261,980.46063 | cladder::L000079::DeepSeek-R1-Distill-Llama-8B | 79 | 1 | ||
cladder_0096 | cladder_train_000095 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Alright, let's try to figure out whether an employee is more likely to be fired or not. So, the background says that in this hypothetical world, the CEO affects the director, who then affects the manager, who in turn affects the employee. That's a chain of causation: CEO → Director → Manager → Employee.
The given info... | Alright, let's try to figure out whether an employee is more likely to be fired or not. So, the background says that in this hypothetical world, the CEO affects the director, who then affects the manager, who in turn affects the employee. That's a chain of causation: CEO → Director → Manager → Employee.
The given info... | 1,785,261,980.673814 | cladder::L000096::DeepSeek-R1-Distill-Llama-8B | 96 | 1 | ||
cladder_0099 | cladder_train_000098 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Okay, so I need to figure out whether Method 1 or Method 2 is better for understanding how the manager affects the employee. Let me start by understanding the background information given.
The background says that in this hypothetical world, the CEO directly affects the director and manager. Then, the manager directly... | Okay, so I need to figure out whether Method 1 or Method 2 is better for understanding how the manager affects the employee. Let me start by understanding the background information given.
The background says that in this hypothetical world, the CEO directly affects the director and manager. Then, the manager directly... | 1,785,261,980.773745 | cladder::L000099::DeepSeek-R1-Distill-Llama-8B | 99 | 1 | ||
cladder_0023 | cladder_train_000022 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Alright, so I need to figure out whether setting the alarm by the husband increases the chance of the alarm ringing. Let me break this down step by step.
First, I know that in this hypothetical world, the husband has a direct effect on the wife, and the wife has a direct effect on the alarm clock. That means the husba... | Alright, so I need to figure out whether setting the alarm by the husband increases the chance of the alarm ringing. Let me break this down step by step.
First, I know that in this hypothetical world, the husband has a direct effect on the wife, and the wife has a direct effect on the alarm clock. That means the husba... | 1,785,261,981.066815 | cladder::L000023::DeepSeek-R1-Distill-Llama-8B | 23 | 1 | ||
cladder_0072 | cladder_train_000071 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Okay, so I'm trying to figure out whether blowing out the candle will decrease the chance of the room being dark. Let me start by understanding the given information.
First, the background says that the man in the room has a direct effect on the room, and the candle also has a direct effect on the room. So, both the m... | Okay, so I'm trying to figure out whether blowing out the candle will decrease the chance of the room being dark. Let me start by understanding the given information.
First, the background says that the man in the room has a direct effect on the room, and the candle also has a direct effect on the room. So, both the m... | 1,785,261,982.534048 | cladder::L000072::DeepSeek-R1-Distill-Llama-8B | 72 | 1 | ||
cladder_0022 | cladder_train_000021 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Okay, so I need to figure out whether Method 1 or Method 2 is more correct for understanding how the husband affects the alarm clock. The background says that the husband has a direct effect on the wife, and the wife has a direct effect on the alarm clock. So, the husband's influence on the alarm clock is indirect thro... | Okay, so I need to figure out whether Method 1 or Method 2 is more correct for understanding how the husband affects the alarm clock. The background says that the husband has a direct effect on the wife, and the wife has a direct effect on the alarm clock. So, the husband's influence on the alarm clock is indirect thro... | 1,785,261,982.732938 | cladder::L000022::DeepSeek-R1-Distill-Llama-8B | 22 | 1 | ||
cladder_0016 | cladder_train_000015 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Okay, so I need to figure out whether the husband positively affects the alarm clock when we disregard the mediation effect through the wife. Let me try to break this down step by step.
First, the background information says that both the husband and the wife have a direct effect on the alarm clock. That means the ala... | Okay, so I need to figure out whether the husband positively affects the alarm clock when we disregard the mediation effect through the wife. Let me try to break this down step by step.
First, the background information says that both the husband and the wife have a direct effect on the alarm clock. That means the ala... | 1,785,261,983.111633 | cladder::L000016::DeepSeek-R1-Distill-Llama-8B | 16 | 1 | ||
cladder_0036 | cladder_train_000035 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Okay, so I have this question about whether Method 1 or Method 2 is better for understanding how a husband affects an alarm clock. Let me try to break this down step by step.
First, I need to understand the background information. It says that in this hypothetical world, the husband has a direct effect on his wife, an... | Okay, so I have this question about whether Method 1 or Method 2 is better for understanding how a husband affects an alarm clock. Let me try to break this down step by step.
First, I need to understand the background information. It says that in this hypothetical world, the husband has a direct effect on his wife, an... | 1,785,261,983.416036 | cladder::L000036::DeepSeek-R1-Distill-Llama-8B | 36 | 1 | ||
cladder_0017 | cladder_train_000016 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Okay, so I need to figure out whether Method 1 or Method 2 is better for understanding how the husband affects the alarm clock. Let me start by understanding the background information given.
From the background, I know that the husband has a direct effect on the wife, and the wife has a direct effect on the alarm clo... | Okay, so I need to figure out whether Method 1 or Method 2 is better for understanding how the husband affects the alarm clock. Let me start by understanding the background information given.
From the background, I know that the husband has a direct effect on the wife, and the wife has a direct effect on the alarm clo... | 1,785,261,983.441525 | cladder::L000017::DeepSeek-R1-Distill-Llama-8B | 17 | 1 | ||
cladder_0047 | cladder_train_000046 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Alright, so I have this question about whether blowing out a candle decreases the chance of a dark room. Let me try to break it down step by step.
First, I'll look at the background information provided. It says that in this hypothetical world, there are two factors: the man in the room and the candle. Both have a dir... | Alright, so I have this question about whether blowing out a candle decreases the chance of a dark room. Let me try to break it down step by step.
First, I'll look at the background information provided. It says that in this hypothetical world, there are two factors: the man in the room and the candle. Both have a dir... | 1,785,261,983.552344 | cladder::L000047::DeepSeek-R1-Distill-Llama-8B | 47 | 1 | ||
cladder_0013 | cladder_train_000012 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Okay, so I'm trying to figure out whether setting the alarm by the husband decreases the chance of the alarm ringing. Let me start by looking at the background information given.
In this hypothetical world, there are a few key points. First, the husband has a direct effect on the wife, and the wife in turn has a dire... | Okay, so I'm trying to figure out whether setting the alarm by the husband decreases the chance of the alarm ringing. Let me start by looking at the background information given.
In this hypothetical world, there are a few key points. First, the husband has a direct effect on the wife, and the wife in turn has a dire... | 1,785,261,983.577693 | cladder::L000013::DeepSeek-R1-Distill-Llama-8B | 13 | 1 | ||
cladder_0060 | cladder_train_000059 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Alright, let's try to figure out whether blowing out the candle decreases the chance of a dark room. So, from the background, we know that both the man in the room and the candle have direct effects on the room. That probably means that the man's actions and the candle's state can influence whether the room is dark or ... | Alright, let's try to figure out whether blowing out the candle decreases the chance of a dark room. So, from the background, we know that both the man in the room and the candle have direct effects on the room. That probably means that the man's actions and the candle's state can influence whether the room is dark or ... | 1,785,261,983.60317 | cladder::L000060::DeepSeek-R1-Distill-Llama-8B | 60 | 1 | ||
cladder_0063 | cladder_train_000062 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Okay, so I'm trying to figure out whether blowing out the candle increases the chance of the room being dark. Let's see, the background says that the man in the room has a direct effect on the room, and the candle also has a direct effect. That probably means that the man can influence the room in some way, maybe by tu... | Okay, so I'm trying to figure out whether blowing out the candle increases the chance of the room being dark. Let's see, the background says that the man in the room has a direct effect on the room, and the candle also has a direct effect. That probably means that the man can influence the room in some way, maybe by tu... | 1,785,261,984.33344 | cladder::L000063::DeepSeek-R1-Distill-Llama-8B | 63 | 1 | ||
cladder_0066 | cladder_train_000065 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Okay, so I'm trying to figure out whether blowing out a candle increases the chance of the room being dark. Let me start by understanding the given information.
First, the background says that the man in the room has a direct effect on the room, and the candle also has a direct effect on the room. So, both the man and... | Okay, so I'm trying to figure out whether blowing out a candle increases the chance of the room being dark. Let me start by understanding the given information.
First, the background says that the man in the room has a direct effect on the room, and the candle also has a direct effect on the room. So, both the man and... | 1,785,261,984.504199 | cladder::L000066::DeepSeek-R1-Distill-Llama-8B | 66 | 1 | ||
cladder_0031 | cladder_train_000030 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Alright, I'm trying to figure out whether the husband negatively affects the alarm clock when we disregard the wife's mediation. Let me break this down step by step.
First, I know from the background that the husband and wife both have direct effects on the alarm clock. That means their actions can influence whether t... | Alright, I'm trying to figure out whether the husband negatively affects the alarm clock when we disregard the wife's mediation. Let me break this down step by step.
First, I know from the background that the husband and wife both have direct effects on the alarm clock. That means their actions can influence whether t... | 1,785,261,984.730766 | cladder::L000031::DeepSeek-R1-Distill-Llama-8B | 31 | 1 | ||
cladder_0081 | cladder_train_000080 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Okay, so I'm trying to figure out whether a manager signing a termination letter increases the chance of an employee being fired. Let's break down the information given.
First, the background tells me that the CEO affects the director, who in turn affects the manager, who then affects the employee. So the chain is CEO... | Okay, so I'm trying to figure out whether a manager signing a termination letter increases the chance of an employee being fired. Let's break down the information given.
First, the background tells me that the CEO affects the director, who in turn affects the manager, who then affects the employee. So the chain is CEO... | 1,785,261,984.828246 | cladder::L000081::DeepSeek-R1-Distill-Llama-8B | 81 | 1 | ||
cladder_0062 | cladder_train_000061 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Okay, so I'm trying to figure out whether Method 1 or Method 2 is more correct for understanding how the man in the room affects the room, given the background information. Let me start by breaking down what each method does.
Method 1 is about looking at how the man correlates with the room case by case, according to ... | Okay, so I'm trying to figure out whether Method 1 or Method 2 is more correct for understanding how the man in the room affects the room, given the background information. Let me start by breaking down what each method does.
Method 1 is about looking at how the man correlates with the room case by case, according to ... | 1,785,261,984.924216 | cladder::L000062::DeepSeek-R1-Distill-Llama-8B | 62 | 1 | ||
cladder_0067 | cladder_train_000066 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Okay, so I'm trying to figure out whether Method 1 or Method 2 is better for understanding how the man in the room affects the room. The background says that both the man and the candle have a direct effect on the room. So, the man does something that changes the room, and the candle also does something that changes th... | Okay, so I'm trying to figure out whether Method 1 or Method 2 is better for understanding how the man in the room affects the room. The background says that both the man and the candle have a direct effect on the room. So, the man does something that changes the room, and the candle also does something that changes th... | 1,785,261,985.047731 | cladder::L000067::DeepSeek-R1-Distill-Llama-8B | 67 | 1 | ||
cladder_0040 | cladder_train_000039 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Okay, so I need to figure out whether blowing out the candle increases the chance of the room being dark. Let me start by understanding the given information.
We have two variables here: whether the person blows out the candle and whether the room is dark. The background says that the man in the room has a direct eff... | Okay, so I need to figure out whether blowing out the candle increases the chance of the room being dark. Let me start by understanding the given information.
We have two variables here: whether the person blows out the candle and whether the room is dark. The background says that the man in the room has a direct eff... | 1,785,261,985.426459 | cladder::L000040::DeepSeek-R1-Distill-Llama-8B | 40 | 1 | ||
cladder_0038 | cladder_train_000037 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Okay, so I'm trying to figure out if the husband negatively affects the alarm clock through the wife. Let me break this down step by step.
First, I need to understand the given information. There are four scenarios:
1. Husbands who don't set the alarm and wives who also don't set the alarm have a 3% chance of the ala... | Okay, so I'm trying to figure out if the husband negatively affects the alarm clock through the wife. Let me break this down step by step.
First, I need to understand the given information. There are four scenarios:
1. Husbands who don't set the alarm and wives who also don't set the alarm have a 3% chance of the ala... | 1,785,261,985.650201 | cladder::L000038::DeepSeek-R1-Distill-Llama-8B | 38 | 1 | ||
cladder_0048 | cladder_train_000047 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Alright, so I'm trying to figure out whether Method 1 or Method 2 is more correct for understanding how the man in the room affects the room. Let me start by breaking down the problem.
First, the background says that the man has a direct effect on the room, and the candle also has a direct effect on the room. So, both... | Alright, so I'm trying to figure out whether Method 1 or Method 2 is more correct for understanding how the man in the room affects the room. Let me start by breaking down the problem.
First, the background says that the man has a direct effect on the room, and the candle also has a direct effect on the room. So, both... | 1,785,261,986.003006 | cladder::L000048::DeepSeek-R1-Distill-Llama-8B | 48 | 1 | ||
cladder_0089 | cladder_train_000088 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Okay, so I'm trying to figure out whether the chance of an employee being fired is smaller when the manager signs the termination letter. Let me start by breaking down the information given.
First, the background mentions that the CEO affects the director and manager, the manager affects the employee, and the director... | Okay, so I'm trying to figure out whether the chance of an employee being fired is smaller when the manager signs the termination letter. Let me start by breaking down the information given.
First, the background mentions that the CEO affects the director and manager, the manager affects the employee, and the director... | 1,785,261,986.127016 | cladder::L000089::DeepSeek-R1-Distill-Llama-8B | 89 | 1 | ||
cladder_0070 | cladder_train_000069 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Alright, let's try to figure out how the man in the room affects the room. So, the background says that the man has a direct effect on the room, and the candle also has a direct effect on the room. The question is asking whether we should use Method 1 or Method 2 to understand this relationship.
Method 1 is looking at... | Alright, let's try to figure out how the man in the room affects the room. So, the background says that the man has a direct effect on the room, and the candle also has a direct effect on the room. The question is asking whether we should use Method 1 or Method 2 to understand this relationship.
Method 1 is looking at... | 1,785,261,986.250026 | cladder::L000070::DeepSeek-R1-Distill-Llama-8B | 70 | 1 | ||
cladder_0051 | cladder_train_000050 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Okay, so I'm trying to figure out whether the chance of a dark room is smaller when the candle is blown out. The background says that the man in the room has a direct effect on the room, and the candle also has a direct effect on the room. There are some probabilities given: the overall probability of the candle blowin... | Okay, so I'm trying to figure out whether the chance of a dark room is smaller when the candle is blown out. The background says that the man in the room has a direct effect on the room, and the candle also has a direct effect on the room. There are some probabilities given: the overall probability of the candle blowin... | 1,785,261,986.447344 | cladder::L000051::DeepSeek-R1-Distill-Llama-8B | 51 | 1 | ||
cladder_0093 | cladder_train_000092 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Okay, so I'm trying to figure out whether the chance of an employee being fired is larger when the manager signs the termination letter. Let me break this down step by step.
First, I need to understand the causal relationships given. The CEO affects the director and the manager. The manager then affects the employee. ... | Okay, so I'm trying to figure out whether the chance of an employee being fired is larger when the manager signs the termination letter. Let me break this down step by step.
First, I need to understand the causal relationships given. The CEO affects the director and the manager. The manager then affects the employee. ... | 1,785,261,986.591324 | cladder::L000093::DeepSeek-R1-Distill-Llama-8B | 93 | 1 | ||
cladder_0073 | cladder_train_000072 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Okay, so I'm trying to figure out whether Method 1 is better than Method 2 for understanding how the man in the room affects the room. Let me start by understanding the background. We have a hypothetical world where only two things are directly affecting the room: the man and the candle. No other factors are mentioned,... | Okay, so I'm trying to figure out whether Method 1 is better than Method 2 for understanding how the man in the room affects the room. Let me start by understanding the background. We have a hypothetical world where only two things are directly affecting the room: the man and the candle. No other factors are mentioned,... | 1,785,261,986.591428 | cladder::L000073::DeepSeek-R1-Distill-Llama-8B | 73 | 1 | ||
cladder_0097 | cladder_train_000096 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Okay, so I need to figure out whether a manager signing the termination letter decreases the chance of an employee being fired. Let's start by understanding the given information.
First, the background says that in this hypothetical world, the CEO directly affects the director and manager, and the manager directly aff... | Okay, so I need to figure out whether a manager signing the termination letter decreases the chance of an employee being fired. Let's start by understanding the given information.
First, the background says that in this hypothetical world, the CEO directly affects the director and manager, and the manager directly aff... | 1,785,261,986.746616 | cladder::L000097::DeepSeek-R1-Distill-Llama-8B | 97 | 1 | ||
cladder_0100 | cladder_train_000099 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Okay, so I'm trying to figure out whether an employee is less likely to be fired than not being fired overall. Let me start by breaking down the information given.
First, the background tells me that the CEO affects the director and manager. The manager then affects the employee, and the director also affects the empl... | Okay, so I'm trying to figure out whether an employee is less likely to be fired than not being fired overall. Let me start by breaking down the information given.
First, the background tells me that the CEO affects the director and manager. The manager then affects the employee, and the director also affects the empl... | 1,785,261,987.043612 | cladder::L000100::DeepSeek-R1-Distill-Llama-8B | 100 | 1 | ||
cladder_0025 | cladder_train_000024 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Okay, so I'm trying to figure out whether setting the alarm by the husband increases the chance of the alarm ringing. Let's break this down step by step.
First, I know from the background that the husband and wife both have direct effects on the alarm clock. That means their actions can influence whether the alarm rin... | Okay, so I'm trying to figure out whether setting the alarm by the husband increases the chance of the alarm ringing. Let's break this down step by step.
First, I know from the background that the husband and wife both have direct effects on the alarm clock. That means their actions can influence whether the alarm rin... | 1,785,261,987.166848 | cladder::L000025::DeepSeek-R1-Distill-Llama-8B | 25 | 1 | ||
cladder_0077 | cladder_train_000076 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Okay, so I'm trying to figure out whether an employee is more likely to not be fired than being fired in this scenario. Let me break it down step by step.
First, I need to understand the causal relationships given. The CEO affects the director and the manager. The manager then affects the employee. So, the chain is C... | Okay, so I'm trying to figure out whether an employee is more likely to not be fired than being fired in this scenario. Let me break it down step by step.
First, I need to understand the causal relationships given. The CEO affects the director and the manager. The manager then affects the employee. So, the chain is C... | 1,785,261,987.388376 | cladder::L000077::DeepSeek-R1-Distill-Llama-8B | 77 | 1 | ||
cladder_0088 | cladder_train_000087 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Okay, so I need to figure out whether an employee being fired is less likely than not being fired overall based on the given information. Let me try to break this down step by step.
First, let's understand the background. There are three roles here: CEO, Director, and Manager. The CEO directly affects the Director and... | Okay, so I need to figure out whether an employee being fired is less likely than not being fired overall based on the given information. Let me try to break this down step by step.
First, let's understand the background. There are three roles here: CEO, Director, and Manager. The CEO directly affects the Director and... | 1,785,261,987.666814 | cladder::L000088::DeepSeek-R1-Distill-Llama-8B | 88 | 1 | ||
cladder_0052 | cladder_train_000051 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Alright, let's try to figure out whether blowing out the candle decreases the chance of a dark room. So, the background says that the man in the room and the candle both have direct effects on the room. That probably means that the man can influence the room in some way, maybe by turning lights on or off, and the candl... | Alright, let's try to figure out whether blowing out the candle decreases the chance of a dark room. So, the background says that the man in the room and the candle both have direct effects on the room. That probably means that the man can influence the room in some way, maybe by turning lights on or off, and the candl... | 1,785,261,987.965509 | cladder::L000052::DeepSeek-R1-Distill-Llama-8B | 52 | 1 | ||
cladder_0059 | cladder_train_000058 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Okay, so I need to figure out whether a dark room is more likely than a bright room overall. Let me start by understanding the given information and the question.
First, the background tells me that in this hypothetical world, there are two things affecting the room: the man in the room and the candle. The man has a d... | Okay, so I need to figure out whether a dark room is more likely than a bright room overall. Let me start by understanding the given information and the question.
First, the background tells me that in this hypothetical world, there are two things affecting the room: the man in the room and the candle. The man has a d... | 1,785,261,988.189212 | cladder::L000059::DeepSeek-R1-Distill-Llama-8B | 59 | 1 | ||
cladder_0045 | cladder_train_000044 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Alright, so I'm trying to figure out whether the chance of a dark room is larger when we observe the candle blowing out. Let me start by understanding the problem step by step.
First, I know that there are two variables here: the man in the room and the candle. The candle's state (blowing out or not) and the room's li... | Alright, so I'm trying to figure out whether the chance of a dark room is larger when we observe the candle blowing out. Let me start by understanding the problem step by step.
First, I know that there are two variables here: the man in the room and the candle. The candle's state (blowing out or not) and the room's li... | 1,785,261,988.310364 | cladder::L000045::DeepSeek-R1-Distill-Llama-8B | 45 | 1 | ||
cladder_0092 | cladder_train_000091 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Okay, so I'm trying to figure out whether Method 1 or Method 2 is more correct for understanding how the manager affects the employee. Let me start by understanding the background information given.
In this hypothetical world, there are three roles: CEO, Director, and Manager, and each has a direct effect on the next.... | Okay, so I'm trying to figure out whether Method 1 or Method 2 is more correct for understanding how the manager affects the employee. Let me start by understanding the background information given.
In this hypothetical world, there are three roles: CEO, Director, and Manager, and each has a direct effect on the next.... | 1,785,261,988.533086 | cladder::L000092::DeepSeek-R1-Distill-Llama-8B | 92 | 1 | ||
cladder_0087 | cladder_train_000086 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Alright, let's try to figure out whether an employee is more likely to be fired than not in this scenario. So, from the background, we know the structure of the causal relationships: the CEO affects the director and manager, the manager affects the employee, and the director also affects the employee. That means both t... | Alright, let's try to figure out whether an employee is more likely to be fired than not in this scenario. So, from the background, we know the structure of the causal relationships: the CEO affects the director and manager, the manager affects the employee, and the director also affects the employee. That means both t... | 1,785,261,988.636041 | cladder::L000087::DeepSeek-R1-Distill-Llama-8B | 87 | 1 | ||
cladder_0020 | cladder_train_000019 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Okay, so I'm trying to figure out whether a ringing alarm is more likely than a silent alarm overall. The background information says that the husband has a direct effect on the alarm clock, and the wife also has a direct effect. That probably means that both the husband and the wife can set the alarm, but I'm not enti... | Okay, so I'm trying to figure out whether a ringing alarm is more likely than a silent alarm overall. The background information says that the husband has a direct effect on the alarm clock, and the wife also has a direct effect. That probably means that both the husband and the wife can set the alarm, but I'm not enti... | 1,785,261,988.661004 | cladder::L000020::DeepSeek-R1-Distill-Llama-8B | 20 | 1 | ||
cladder_0069 | cladder_train_000068 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Okay, so I'm trying to figure out whether Method 1 or Method 2 is better for understanding how the man in the room affects the room. Let me start by understanding the background information given.
From the background, I know that both the man in the room and the candle have direct effects on the room. That means if th... | Okay, so I'm trying to figure out whether Method 1 or Method 2 is better for understanding how the man in the room affects the room. Let me start by understanding the background information given.
From the background, I know that both the man in the room and the candle have direct effects on the room. That means if th... | 1,785,261,988.686058 | cladder::L000069::DeepSeek-R1-Distill-Llama-8B | 69 | 1 | ||
cladder_0054 | cladder_train_000053 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Okay, so I need to figure out whether Method 1 is more correct than Method 2 for understanding how the man in the room affects the room. Let me start by understanding the background information given.
The background says that in this hypothetical world, the man in the room has a direct effect on the room, and the cand... | Okay, so I need to figure out whether Method 1 is more correct than Method 2 for understanding how the man in the room affects the room. Let me start by understanding the background information given.
The background says that in this hypothetical world, the man in the room has a direct effect on the room, and the cand... | 1,785,261,989.050687 | cladder::L000054::DeepSeek-R1-Distill-Llama-8B | 54 | 1 | ||
cladder_0046 | cladder_train_000045 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Okay, so I'm trying to figure out whether Method 1 or Method 2 is more correct for understanding how the man in the room affects the room. Let me break this down step by step.
First, let me understand the background. There's a man in a room, and both the man and a candle have direct effects on the room. So, the man do... | Okay, so I'm trying to figure out whether Method 1 or Method 2 is more correct for understanding how the man in the room affects the room. Let me break this down step by step.
First, let me understand the background. There's a man in a room, and both the man and a candle have direct effects on the room. So, the man do... | 1,785,261,989.296017 | cladder::L000046::DeepSeek-R1-Distill-Llama-8B | 46 | 1 | ||
cladder_0003 | cladder_train_000002 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Alright, so I'm trying to figure out whether a ringing alarm is more likely than a silent alarm overall in this hypothetical world. Let's break down the information given.
First, the background says that the husband has a direct effect on the wife and the alarm clock. The wife, in turn, has a direct effect on the alar... | Alright, so I'm trying to figure out whether a ringing alarm is more likely than a silent alarm overall in this hypothetical world. Let's break down the information given.
First, the background says that the husband has a direct effect on the wife and the alarm clock. The wife, in turn, has a direct effect on the alar... | 1,785,261,989.462052 | cladder::L000003::DeepSeek-R1-Distill-Llama-8B | 3 | 1 | ||
cladder_0084 | cladder_train_000083 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Alright, let me try to figure this out. So, the question is whether the chance of an employee being fired is smaller when the manager signs the termination letter. Hmm, okay, let's break it down.
First, I need to understand the given information. There's a CEO, director, and manager. The CEO affects the director and m... | Alright, let me try to figure this out. So, the question is whether the chance of an employee being fired is smaller when the manager signs the termination letter. Hmm, okay, let's break it down.
First, I need to understand the given information. There's a CEO, director, and manager. The CEO affects the director and m... | 1,785,261,989.807575 | cladder::L000084::DeepSeek-R1-Distill-Llama-8B | 84 | 1 | ||
cladder_0094 | cladder_train_000093 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Alright, let's try to figure out whether the manager signing the termination letter increases the chance of the employee being fired. I'm a bit new to this, so I'll need to break it down step by step.
First, from the background, I know that in this hypothetical world, the CEO affects both the director and the manager.... | Alright, let's try to figure out whether the manager signing the termination letter increases the chance of the employee being fired. I'm a bit new to this, so I'll need to break it down step by step.
First, from the background, I know that in this hypothetical world, the CEO affects both the director and the manager.... | 1,785,261,989.833016 | cladder::L000094::DeepSeek-R1-Distill-Llama-8B | 94 | 1 | ||
cladder_0074 | cladder_train_000073 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Okay, so I'm trying to figure out whether an employee is more likely to be fired than not fired in this scenario. Let me start by understanding the given information.
First, the background says that the CEO affects the director and manager. The manager then affects the employee, and the director also affects the emplo... | Okay, so I'm trying to figure out whether an employee is more likely to be fired than not fired in this scenario. Let me start by understanding the given information.
First, the background says that the CEO affects the director and manager. The manager then affects the employee, and the director also affects the emplo... | 1,785,261,990.245437 | cladder::L000074::DeepSeek-R1-Distill-Llama-8B | 74 | 1 | ||
cladder_0024 | cladder_train_000023 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Alright, so I'm trying to figure out whether Method 1 or Method 2 is more correct for understanding how a husband affects an alarm clock. The background says that in this hypothetical world, the husband has a direct effect on the wife, and the wife has a direct effect on the alarm clock. So, the husband indirectly affe... | Alright, so I'm trying to figure out whether Method 1 or Method 2 is more correct for understanding how a husband affects an alarm clock. The background says that in this hypothetical world, the husband has a direct effect on the wife, and the wife has a direct effect on the alarm clock. So, the husband indirectly affe... | 1,785,261,990.540879 | cladder::L000024::DeepSeek-R1-Distill-Llama-8B | 24 | 1 | ||
cladder_0055 | cladder_train_000054 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Okay, so I'm trying to figure out this causal reasoning problem. Let me start by understanding what's given. There's a room with a man and a candle. The man can blow out the candle or not. The candle has a direct effect on the room, and so does the man.
The information provided is that when people don't blow out the ... | Okay, so I'm trying to figure out this causal reasoning problem. Let me start by understanding what's given. There's a room with a man and a candle. The man can blow out the candle or not. The candle has a direct effect on the room, and so does the man.
The information provided is that when people don't blow out the ... | 1,785,261,990.91185 | cladder::L000055::DeepSeek-R1-Distill-Llama-8B | 55 | 1 | ||
cladder_0018 | cladder_train_000017 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Okay, so I need to figure out whether a ringing alarm is more likely than a silent alarm overall. Let me start by understanding the given information.
First, the background says that the husband has a direct effect on the alarm clock, and the wife also has a direct effect. So, both the husband and the wife can influen... | Okay, so I need to figure out whether a ringing alarm is more likely than a silent alarm overall. Let me start by understanding the given information.
First, the background says that the husband has a direct effect on the alarm clock, and the wife also has a direct effect. So, both the husband and the wife can influen... | 1,785,261,991.765163 | cladder::L000018::DeepSeek-R1-Distill-Llama-8B | 18 | 1 | ||
cladder_0050 | cladder_train_000049 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Okay, so I'm trying to figure out whether, for people who blow out candles, it's more likely to see a dark room if the person in the room had not blown out the candle. Hmm, let me break this down step by step.
First, the background says that the man in the room and the candle both have direct effects on the room. So, ... | Okay, so I'm trying to figure out whether, for people who blow out candles, it's more likely to see a dark room if the person in the room had not blown out the candle. Hmm, let me break this down step by step.
First, the background says that the man in the room and the candle both have direct effects on the room. So, ... | 1,785,261,992.269081 | cladder::L000050::DeepSeek-R1-Distill-Llama-8B | 50 | 1 | ||
cladder_0044 | cladder_train_000043 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Okay, so I need to figure out whether, for people who blow out candles, it would be less likely to see a dark room if the person hadn't blown out the candle. Let me start by understanding the given information.
The background says that the man in the room has a direct effect on the room, and the candle also has a dire... | Okay, so I need to figure out whether, for people who blow out candles, it would be less likely to see a dark room if the person hadn't blown out the candle. Let me start by understanding the given information.
The background says that the man in the room has a direct effect on the room, and the candle also has a dire... | 1,785,261,992.515404 | cladder::L000044::DeepSeek-R1-Distill-Llama-8B | 44 | 1 | ||
cladder_0029 | cladder_train_000028 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Okay, so I'm trying to figure out whether the husband negatively affects the alarm clock when we disregard the mediation through the wife. Let's start by understanding the problem.
First, the background says that both the husband and the wife have direct effects on the alarm clock. That means the alarm's ringing depen... | Okay, so I'm trying to figure out whether the husband negatively affects the alarm clock when we disregard the mediation through the wife. Let's start by understanding the problem.
First, the background says that both the husband and the wife have direct effects on the alarm clock. That means the alarm's ringing depen... | 1,785,261,992.893166 | cladder::L000029::DeepSeek-R1-Distill-Llama-8B | 29 | 1 | ||
cladder_0065 | cladder_train_000064 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Alright, let's try to figure out if a dark room is more likely than a bright room overall. So, the problem gives us some probabilities and causal relationships. First, I need to understand what's given.
We have two variables: whether the man blows out the candle and whether the room is dark. The candle and the man bot... | Alright, let's try to figure out if a dark room is more likely than a bright room overall. So, the problem gives us some probabilities and causal relationships. First, I need to understand what's given.
We have two variables: whether the man blows out the candle and whether the room is dark. The candle and the man bot... | 1,785,261,993.888393 | cladder::L000065::DeepSeek-R1-Distill-Llama-8B | 65 | 1 | ||
cladder_0083 | cladder_train_000082 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Okay, so I'm trying to figure out whether the chance of an employee being fired is smaller when the manager signs the termination letter. Let me break this down step by step.
First, I need to understand the given information. There's a world with a CEO, director, and manager. The CEO affects the director, who in turn ... | Okay, so I'm trying to figure out whether the chance of an employee being fired is smaller when the manager signs the termination letter. Let me break this down step by step.
First, I need to understand the given information. There's a world with a CEO, director, and manager. The CEO affects the director, who in turn ... | 1,785,261,994.012141 | cladder::L000083::DeepSeek-R1-Distill-Llama-8B | 83 | 1 | ||
cladder_0007 | cladder_train_000006 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Okay, so I need to figure out whether the husband positively affects the alarm clock through the wife. Let me start by looking at the given information.
First, the background says that the husband has a direct effect on the wife, and the wife has a direct effect on the alarm clock. That means the husband can influenc... | Okay, so I need to figure out whether the husband positively affects the alarm clock through the wife. Let me start by looking at the given information.
First, the background says that the husband has a direct effect on the wife, and the wife has a direct effect on the alarm clock. That means the husband can influenc... | 1,785,261,994.652388 | cladder::L000007::DeepSeek-R1-Distill-Llama-8B | 7 | 1 | ||
cladder_0027 | cladder_train_000026 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Okay, so I'm trying to figure out whether the husband positively affects the alarm clock when we disregard the mediation through the wife. Let me break this down step by step.
First, I need to understand the given information. The background says that the husband has a direct effect on the wife, and the wife has a dir... | Okay, so I'm trying to figure out whether the husband positively affects the alarm clock when we disregard the mediation through the wife. Let me break this down step by step.
First, I need to understand the given information. The background says that the husband has a direct effect on the wife, and the wife has a dir... | 1,785,261,994.678205 | cladder::L000027::DeepSeek-R1-Distill-Llama-8B | 27 | 1 | ||
cladder_0078 | cladder_train_000077 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Okay, so I'm trying to figure out whether the chance of an employee being fired is smaller when the manager signs a termination letter. Let me break this down step by step.
First, I'll look at the background information provided. It says that in this hypothetical world, the CEO directly affects the director and manage... | Okay, so I'm trying to figure out whether the chance of an employee being fired is smaller when the manager signs a termination letter. Let me break this down step by step.
First, I'll look at the background information provided. It says that in this hypothetical world, the CEO directly affects the director and manage... | 1,785,261,995.055772 | cladder::L000078::DeepSeek-R1-Distill-Llama-8B | 78 | 1 | ||
cladder_0005 | cladder_train_000004 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Alright, so I'm trying to figure out whether the husband positively affects the alarm clock through the wife. Let me break this down step by step.
First, I need to understand the given information. There are four scenarios, each with different combinations of whether the husband sets the alarm and whether the wife set... | Alright, so I'm trying to figure out whether the husband positively affects the alarm clock through the wife. Let me break this down step by step.
First, I need to understand the given information. There are four scenarios, each with different combinations of whether the husband sets the alarm and whether the wife set... | 1,785,261,996.166002 | cladder::L000005::DeepSeek-R1-Distill-Llama-8B | 5 | 1 | ||
cladder_0082 | cladder_train_000081 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Alright, so I'm trying to figure out whether a manager signing a termination letter decreases the chance of an employee being fired. Let me break this down step by step.
First, I'll look at the background information provided. It mentions a hierarchical structure where the CEO directly affects the director and manager... | Alright, so I'm trying to figure out whether a manager signing a termination letter decreases the chance of an employee being fired. Let me break this down step by step.
First, I'll look at the background information provided. It mentions a hierarchical structure where the CEO directly affects the director and manager... | 1,785,261,996.292846 | cladder::L000082::DeepSeek-R1-Distill-Llama-8B | 82 | 1 | ||
cladder_0049 | cladder_train_000048 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Okay, so I have this probability question, and I need to figure out whether the chance of a dark room is larger when the candle is blown out. Let me try to break this down step by step.
First, let me understand the background. There's a room, and two things can affect it: the man in the room and the candle. The candle... | Okay, so I have this probability question, and I need to figure out whether the chance of a dark room is larger when the candle is blown out. Let me try to break this down step by step.
First, let me understand the background. There's a room, and two things can affect it: the man in the room and the candle. The candle... | 1,785,261,996.573765 | cladder::L000049::DeepSeek-R1-Distill-Llama-8B | 49 | 1 | ||
cladder_0011 | cladder_train_000010 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Okay, so I'm trying to figure out this causal reasoning problem. Let me start by breaking down the information given.
First, there's a setup with a husband, wife, and an alarm clock. The background says that the husband has a direct effect on the wife, and the wife has a direct effect on the alarm clock. That probabl... | Okay, so I'm trying to figure out this causal reasoning problem. Let me start by breaking down the information given.
First, there's a setup with a husband, wife, and an alarm clock. The background says that the husband has a direct effect on the wife, and the wife has a direct effect on the alarm clock. That probabl... | 1,785,261,996.98528 | cladder::L000011::DeepSeek-R1-Distill-Llama-8B | 11 | 1 | ||
cladder_0105 | cladder_train_000104 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Okay, so I'm trying to figure out whether Method 1 or Method 2 is better for understanding how a manager affects an employee. Let me start by breaking down the information given.
First, the background says that in this hypothetical world, the CEO directly affects the director and manager. Then, the manager directly af... | Okay, so I'm trying to figure out whether Method 1 or Method 2 is better for understanding how a manager affects an employee. Let me start by breaking down the information given.
First, the background says that in this hypothetical world, the CEO directly affects the director and manager. Then, the manager directly af... | 1,785,261,997.187927 | cladder::L000105::DeepSeek-R1-Distill-Llama-8B | 105 | 1 | ||
cladder_0043 | cladder_train_000042 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Alright, so I need to figure out whether a dark room is less likely than a bright room overall. Let me break this down step by step.
First, the background says that the man in the room has a direct effect on the room, and the candle also has a direct effect. So, the man can influence the room, and the candle does too.... | Alright, so I need to figure out whether a dark room is less likely than a bright room overall. Let me break this down step by step.
First, the background says that the man in the room has a direct effect on the room, and the candle also has a direct effect. So, the man can influence the room, and the candle does too.... | 1,785,261,997.366088 | cladder::L000043::DeepSeek-R1-Distill-Llama-8B | 43 | 1 | ||
cladder_0037 | cladder_train_000036 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Okay, so I'm trying to figure out whether setting the alarm by the husband decreases the chance of the alarm ringing. Let me start by understanding the background information given.
We have a hypothetical world where the husband affects the wife and the alarm clock directly. The wife also affects the alarm clock. So, ... | Okay, so I'm trying to figure out whether setting the alarm by the husband decreases the chance of the alarm ringing. Let me start by understanding the background information given.
We have a hypothetical world where the husband affects the wife and the alarm clock directly. The wife also affects the alarm clock. So, ... | 1,785,261,997.955279 | cladder::L000037::DeepSeek-R1-Distill-Llama-8B | 37 | 1 | ||
cladder_0010 | cladder_train_000009 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Okay, so I'm trying to figure out this causal reasoning problem. Let me start by understanding the background and the given information.
We have a hypothetical world where there are husbands, wives, and alarm clocks. The causal relationships are that the husband directly affects the wife and the alarm clock, and the w... | Okay, so I'm trying to figure out this causal reasoning problem. Let me start by understanding the background and the given information.
We have a hypothetical world where there are husbands, wives, and alarm clocks. The causal relationships are that the husband directly affects the wife and the alarm clock, and the w... | 1,785,261,998.106751 | cladder::L000010::DeepSeek-R1-Distill-Llama-8B | 10 | 1 | ||
cladder_0006 | cladder_train_000005 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Okay, so I'm trying to figure out whether the husband negatively affects the alarm clock through the wife. Let me start by understanding the background information given.
First, the setup is a hypothetical world where only the husband, wife, and alarm clock exist. The husband and wife can affect the alarm clock, but t... | Okay, so I'm trying to figure out whether the husband negatively affects the alarm clock through the wife. Let me start by understanding the background information given.
First, the setup is a hypothetical world where only the husband, wife, and alarm clock exist. The husband and wife can affect the alarm clock, but t... | 1,785,261,998.674499 | cladder::L000006::DeepSeek-R1-Distill-Llama-8B | 6 | 1 | ||
cladder_0002 | cladder_train_000001 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Okay, so I need to figure out whether setting the alarm by the husband decreases the chance of the alarm ringing. Let me start by understanding the given information.
First, the background says that the husband has a direct effect on the wife and the alarm clock. The wife, in turn, has a direct effect on the alarm clo... | Okay, so I need to figure out whether setting the alarm by the husband decreases the chance of the alarm ringing. Let me start by understanding the given information.
First, the background says that the husband has a direct effect on the wife and the alarm clock. The wife, in turn, has a direct effect on the alarm clo... | 1,785,261,999.217984 | cladder::L000002::DeepSeek-R1-Distill-Llama-8B | 2 | 1 | ||
cladder_0042 | cladder_train_000041 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Okay, so I'm trying to figure out whether blowing out the candle will decrease the chance of a dark room. Let me start by understanding the given information.
First, the background says that both the man in the room and the candle have direct effects on the room. That means the man can influence the room's state, and ... | Okay, so I'm trying to figure out whether blowing out the candle will decrease the chance of a dark room. Let me start by understanding the given information.
First, the background says that both the man in the room and the candle have direct effects on the room. That means the man can influence the room's state, and ... | 1,785,262,000.316641 | cladder::L000042::DeepSeek-R1-Distill-Llama-8B | 42 | 1 | ||
cladder_0071 | cladder_train_000070 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Okay, so I have this probability question here, and I need to figure out whether the chance of a dark room is larger when the candle is observed to be blown out. Let me try to break this down step by step.
First, I'll start by understanding the given information. There are two variables here: the man in the room and t... | Okay, so I have this probability question here, and I need to figure out whether the chance of a dark room is larger when the candle is observed to be blown out. Let me try to break this down step by step.
First, I'll start by understanding the given information. There are two variables here: the man in the room and t... | 1,785,262,001.186512 | cladder::L000071::DeepSeek-R1-Distill-Llama-8B | 71 | 1 | ||
cladder_0001 | cladder_train_000000 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Alright, so I'm trying to figure out whether the husband's behavior affects the alarm clock when we disregard any mediation through the wife. Let me break this down step by step.
First, I'll look at the given information. There are four scenarios:
1. Both don't set the alarm: Alarm rings 8% of the time.
2. Husband do... | Alright, so I'm trying to figure out whether the husband's behavior affects the alarm clock when we disregard any mediation through the wife. Let me break this down step by step.
First, I'll look at the given information. There are four scenarios:
1. Both don't set the alarm: Alarm rings 8% of the time.
2. Husband do... | 1,785,262,001.635377 | cladder::L000001::DeepSeek-R1-Distill-Llama-8B | 1 | 1 | ||
cladder_0075 | cladder_train_000074 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Alright, so I'm trying to figure out whether the chance of an employee being fired is larger when the manager signs a termination letter. Let me break this down step by step.
First, I need to understand the given information and the relationships between the variables. The background mentions that the CEO directly aff... | Alright, so I'm trying to figure out whether the chance of an employee being fired is larger when the manager signs a termination letter. Let me break this down step by step.
First, I need to understand the given information and the relationships between the variables. The background mentions that the CEO directly aff... | 1,785,262,001.68899 | cladder::L000075::DeepSeek-R1-Distill-Llama-8B | 75 | 1 | ||
cladder_0127 | cladder_train_000126 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Alright, I need to figure out whether an employee is less likely to be fired than not being fired overall. Let me break down the information given.
First, the overall probability of a manager signing the termination letter is 39%. That means in 39% of cases, the manager does sign it, and in 61% of cases, they don't.
... | Alright, I need to figure out whether an employee is less likely to be fired than not being fired overall. Let me break down the information given.
First, the overall probability of a manager signing the termination letter is 39%. That means in 39% of cases, the manager does sign it, and in 61% of cases, they don't.
... | 1,785,262,001.688876 | cladder::L000127::DeepSeek-R1-Distill-Llama-8B | 127 | 1 | ||
cladder_0035 | cladder_train_000034 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Okay, so I'm trying to figure out whether setting the alarm by the husband decreases the chance of the alarm ringing. Let me break this down step by step.
First, I know from the background that the husband and wife both have direct effects on the alarm clock. That means their actions can influence whether the alarm go... | Okay, so I'm trying to figure out whether setting the alarm by the husband decreases the chance of the alarm ringing. Let me break this down step by step.
First, I know from the background that the husband and wife both have direct effects on the alarm clock. That means their actions can influence whether the alarm go... | 1,785,262,001.977227 | cladder::L000035::DeepSeek-R1-Distill-Llama-8B | 35 | 1 | ||
cladder_0068 | cladder_train_000067 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Okay, so I need to figure out whether blowing out a candle decreases the chance of a dark room. Let me start by understanding the given information.
First, the background says that both the man in the room and the candle have direct effects on the room. That probably means that the man's actions and the candle's state... | Okay, so I need to figure out whether blowing out a candle decreases the chance of a dark room. Let me start by understanding the given information.
First, the background says that both the man in the room and the candle have direct effects on the room. That probably means that the man's actions and the candle's state... | 1,785,262,002.501949 | cladder::L000068::DeepSeek-R1-Distill-Llama-8B | 68 | 1 | ||
cladder_0021 | cladder_train_000020 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Okay, so I'm trying to figure out whether the husband positively affects the alarm clock when we disregard the mediation through the wife. Let me start by understanding the given information.
First, the background says that both the husband and the wife have direct effects on the alarm clock. That means the husband's ... | Okay, so I'm trying to figure out whether the husband positively affects the alarm clock when we disregard the mediation through the wife. Let me start by understanding the given information.
First, the background says that both the husband and the wife have direct effects on the alarm clock. That means the husband's ... | 1,785,262,002.555519 | cladder::L000021::DeepSeek-R1-Distill-Llama-8B | 21 | 1 | ||
cladder_0104 | cladder_train_000103 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Okay, so I'm trying to figure out whether Method 1 or Method 2 is more correct for understanding how a manager affects an employee. The background says that the CEO affects the director and manager, the manager affects the employee, and the director also affects the employee.
First, I need to understand what each met... | Okay, so I'm trying to figure out whether Method 1 or Method 2 is more correct for understanding how a manager affects an employee. The background says that the CEO affects the director and manager, the manager affects the employee, and the director also affects the employee.
First, I need to understand what each met... | 1,785,262,002.555661 | cladder::L000104::DeepSeek-R1-Distill-Llama-8B | 104 | 1 | ||
cladder_0114 | cladder_train_000113 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Okay, so I'm trying to figure out whether a manager signing a termination letter decreases the chance of an employee being fired. Let's break this down step by step.
First, I need to understand the given information. There are four scenarios presented with different probabilities:
1. CEOs who fire employees and manag... | Okay, so I'm trying to figure out whether a manager signing a termination letter decreases the chance of an employee being fired. Let's break this down step by step.
First, I need to understand the given information. There are four scenarios presented with different probabilities:
1. CEOs who fire employees and manag... | 1,785,262,002.731667 | cladder::L000114::DeepSeek-R1-Distill-Llama-8B | 114 | 1 | ||
cladder_0019 | cladder_train_000018 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Okay, so I'm trying to figure out whether a ringing alarm is less likely than a silent alarm overall. The background given is a bit complex, so I need to break it down step by step.
First, let me understand the setup. There's a husband, a wife, and an alarm clock. The husband can directly affect the wife and the alarm... | Okay, so I'm trying to figure out whether a ringing alarm is less likely than a silent alarm overall. The background given is a bit complex, so I need to break it down step by step.
First, let me understand the setup. There's a husband, a wife, and an alarm clock. The husband can directly affect the wife and the alarm... | 1,785,262,002.937494 | cladder::L000019::DeepSeek-R1-Distill-Llama-8B | 19 | 1 | ||
cladder_0107 | cladder_train_000106 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Okay, so I'm trying to figure out whether an employee is more likely to be fired than not fired in this scenario. Let me break it down step by step.
First, the background says that the CEO affects the director and manager. The manager then affects the employee, and the director also affects the employee directly. So, ... | Okay, so I'm trying to figure out whether an employee is more likely to be fired than not fired in this scenario. Let me break it down step by step.
First, the background says that the CEO affects the director and manager. The manager then affects the employee, and the director also affects the employee directly. So, ... | 1,785,262,003.722601 | cladder::L000107::DeepSeek-R1-Distill-Llama-8B | 107 | 1 | ||
cladder_0030 | cladder_train_000029 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Okay, so I'm trying to figure out whether the husband positively affects the alarm clock through the wife. Let me start by understanding the problem.
First, I know that both the husband and the wife can set the alarm. The alarm clock rings with a certain probability depending on their actions. The background informati... | Okay, so I'm trying to figure out whether the husband positively affects the alarm clock through the wife. Let me start by understanding the problem.
First, I know that both the husband and the wife can set the alarm. The alarm clock rings with a certain probability depending on their actions. The background informati... | 1,785,262,003.876445 | cladder::L000030::DeepSeek-R1-Distill-Llama-8B | 30 | 1 | ||
cladder_0064 | cladder_train_000063 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Okay, so I'm trying to figure out whether, for people who blow out candles, it would be less likely to have a dark room if the person hadn't blown out the candle. Hmm, let me break this down step by step.
First, I need to understand the given information. We have a room where two factors are mentioned: the man in the ... | Okay, so I'm trying to figure out whether, for people who blow out candles, it would be less likely to have a dark room if the person hadn't blown out the candle. Hmm, let me break this down step by step.
First, I need to understand the given information. We have a room where two factors are mentioned: the man in the ... | 1,785,262,004.2938 | cladder::L000064::DeepSeek-R1-Distill-Llama-8B | 64 | 1 | ||
cladder_0121 | cladder_train_000120 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Okay, so I need to figure out whether a manager signing the termination letter increases the chance of an employee being fired. Let me start by understanding the given information.
First, the background mentions a hierarchical structure: CEO affects the director, who affects the manager, and the manager affects the em... | Okay, so I need to figure out whether a manager signing the termination letter increases the chance of an employee being fired. Let me start by understanding the given information.
First, the background mentions a hierarchical structure: CEO affects the director, who affects the manager, and the manager affects the em... | 1,785,262,004.526869 | cladder::L000121::DeepSeek-R1-Distill-Llama-8B | 121 | 1 | ||
cladder_0109 | cladder_train_000108 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Okay, so I'm trying to figure out whether a manager signing a termination letter increases the chance of an employee being fired. Let me start by understanding the given information.
First, there are four scenarios:
1. CEOs fire employees, and managers don't sign termination letters. The probability of the employee b... | Okay, so I'm trying to figure out whether a manager signing a termination letter increases the chance of an employee being fired. Let me start by understanding the given information.
First, there are four scenarios:
1. CEOs fire employees, and managers don't sign termination letters. The probability of the employee b... | 1,785,262,004.653507 | cladder::L000109::DeepSeek-R1-Distill-Llama-8B | 109 | 1 | ||
cladder_0053 | cladder_train_000052 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Alright, so I'm trying to figure out whether the chance of a dark room is larger when we observe the candle blowing out. Let me start by understanding the given information and the question.
First, the background says that in this hypothetical world, the man in the room has a direct effect on the room, and the candle ... | Alright, so I'm trying to figure out whether the chance of a dark room is larger when we observe the candle blowing out. Let me start by understanding the given information and the question.
First, the background says that in this hypothetical world, the man in the room has a direct effect on the room, and the candle ... | 1,785,262,005.78941 | cladder::L000053::DeepSeek-R1-Distill-Llama-8B | 53 | 1 | ||
cladder_0058 | cladder_train_000057 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Okay, so I need to figure out whether the chance of a dark room is smaller when we observe the candle blowing out. Let me start by understanding the problem.
First, the background says that in this hypothetical world, two things affect the room: the man in the room and the candle. The candle has a direct effect on the... | Okay, so I need to figure out whether the chance of a dark room is smaller when we observe the candle blowing out. Let me start by understanding the problem.
First, the background says that in this hypothetical world, two things affect the room: the man in the room and the candle. The candle has a direct effect on the... | 1,785,262,006.880139 | cladder::L000058::DeepSeek-R1-Distill-Llama-8B | 58 | 1 | ||
cladder_0120 | cladder_train_000119 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Okay, so I'm trying to figure out whether the chance of an employee being fired is smaller when the manager signs the termination letter. The background information says that the CEO affects the director and manager, the manager affects the employee, and the director also affects the employee.
First, I need to unders... | Okay, so I'm trying to figure out whether the chance of an employee being fired is smaller when the manager signs the termination letter. The background information says that the CEO affects the director and manager, the manager affects the employee, and the director also affects the employee.
First, I need to unders... | 1,785,262,007.307375 | cladder::L000120::DeepSeek-R1-Distill-Llama-8B | 120 | 1 | ||
cladder_0128 | cladder_train_000127 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Alright, so I need to figure out whether Method 1 or Method 2 is more correct for understanding how the manager affects the employee. Let me break this down step by step.
First, I'll look at the background information provided. It says that in this hypothetical world, the CEO directly affects the director and manager.... | Alright, so I need to figure out whether Method 1 or Method 2 is more correct for understanding how the manager affects the employee. Let me break this down step by step.
First, I'll look at the background information provided. It says that in this hypothetical world, the CEO directly affects the director and manager.... | 1,785,262,007.334125 | cladder::L000128::DeepSeek-R1-Distill-Llama-8B | 128 | 1 | ||
cladder_0102 | cladder_train_000101 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Okay, so I need to figure out whether an employee is more likely to be fired or not fired overall based on the given information. Let me break this down step by step.
First, I'll list out what I know from the background and the given information. The CEO affects the director and manager. The manager affects the employ... | Okay, so I need to figure out whether an employee is more likely to be fired or not fired overall based on the given information. Let me break this down step by step.
First, I'll list out what I know from the background and the given information. The CEO affects the director and manager. The manager affects the employ... | 1,785,262,007.591752 | cladder::L000102::DeepSeek-R1-Distill-Llama-8B | 102 | 1 | ||
cladder_0103 | cladder_train_000102 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Okay, so I'm trying to figure out whether an employee is more likely to not be fired than to be fired in this scenario. Let me start by understanding the given information.
First, the background tells me about the causal relationships. The CEO affects the director and manager. The manager then affects the employee, an... | Okay, so I'm trying to figure out whether an employee is more likely to not be fired than to be fired in this scenario. Let me start by understanding the given information.
First, the background tells me about the causal relationships. The CEO affects the director and manager. The manager then affects the employee, an... | 1,785,262,007.618327 | cladder::L000103::DeepSeek-R1-Distill-Llama-8B | 103 | 1 | ||
cladder_0150 | cladder_train_000149 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Alright, so I'm trying to figure out whether the captain negatively affects the prisoner through the corporal and the private. Let me break this down step by step.
First, I need to understand the given information. The background says that the captain affects both the private and the corporal directly. Then, the corpo... | Alright, so I'm trying to figure out whether the captain negatively affects the prisoner through the corporal and the private. Let me break this down step by step.
First, I need to understand the given information. The background says that the captain affects both the private and the corporal directly. Then, the corpo... | 1,785,262,008.013098 | cladder::L000150::DeepSeek-R1-Distill-Llama-8B | 150 | 1 | ||
cladder_0091 | cladder_train_000090 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Alright, let's try to figure out whether a manager signing the termination letter decreases the chance of an employee being fired. So, first, I need to understand the given information and the relationships between the variables involved.
From the background, I know that in this hypothetical world, there are three mai... | Alright, let's try to figure out whether a manager signing the termination letter decreases the chance of an employee being fired. So, first, I need to understand the given information and the relationships between the variables involved.
From the background, I know that in this hypothetical world, there are three mai... | 1,785,262,008.274817 | cladder::L000091::DeepSeek-R1-Distill-Llama-8B | 91 | 1 | ||
cladder_0144 | cladder_train_000143 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Okay, so I need to figure out whether Method 1 or Method 2 is more correct for understanding how a manager affects an employee. The background says that in this hypothetical world, the CEO affects the director and manager, the manager affects the employee, and the director also affects the employee.
First, I should u... | Okay, so I need to figure out whether Method 1 or Method 2 is more correct for understanding how a manager affects an employee. The background says that in this hypothetical world, the CEO affects the director and manager, the manager affects the employee, and the director also affects the employee.
First, I should u... | 1,785,262,008.405627 | cladder::L000144::DeepSeek-R1-Distill-Llama-8B | 144 | 1 | ||
cladder_0142 | cladder_train_000141 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Okay, so I'm trying to figure out whether an employee is more likely to be fired or not fired overall. Let me start by understanding the given information and the relationships between the variables.
First, the background says that the CEO affects the director and manager. The manager then affects the employee, and th... | Okay, so I'm trying to figure out whether an employee is more likely to be fired or not fired overall. Let me start by understanding the given information and the relationships between the variables.
First, the background says that the CEO affects the director and manager. The manager then affects the employee, and th... | 1,785,262,008.88516 | cladder::L000142::DeepSeek-R1-Distill-Llama-8B | 142 | 1 | ||
cladder_0132 | cladder_train_000131 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Alright, let me try to figure this out. So, the question is about whether the probability of an employee being fired is larger when the manager signs the termination letter. Hmm, okay.
First, I need to understand the given information. There's a 66% chance that the manager signs the termination letter. If they don't s... | Alright, let me try to figure this out. So, the question is about whether the probability of an employee being fired is larger when the manager signs the termination letter. Hmm, okay.
First, I need to understand the given information. There's a 66% chance that the manager signs the termination letter. If they don't s... | 1,785,262,009.015133 | cladder::L000132::DeepSeek-R1-Distill-Llama-8B | 132 | 1 | ||
cladder_0076 | cladder_train_000075 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Okay, so I'm trying to figure out whether, for managers who sign termination letters, it's less likely that an employee will be fired. Let me break this down step by step.
First, I need to understand the given information. The background mentions a causal structure where the CEO affects the director and manager, the m... | Okay, so I'm trying to figure out whether, for managers who sign termination letters, it's less likely that an employee will be fired. Let me break this down step by step.
First, I need to understand the given information. The background mentions a causal structure where the CEO affects the director and manager, the m... | 1,785,262,009.119015 | cladder::L000076::DeepSeek-R1-Distill-Llama-8B | 76 | 1 | ||
cladder_0147 | cladder_train_000146 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Okay, so I'm trying to figure out whether to use Method 1 or Method 2 to understand how the captain affects the prisoner. Let me break this down step by step.
First, I need to understand the background information. There are three variables here: the captain, the private, and the prisoner. The causal relationships are... | Okay, so I'm trying to figure out whether to use Method 1 or Method 2 to understand how the captain affects the prisoner. Let me break this down step by step.
First, I need to understand the background information. There are three variables here: the captain, the private, and the prisoner. The causal relationships are... | 1,785,262,009.173777 | cladder::L000147::DeepSeek-R1-Distill-Llama-8B | 147 | 1 | ||
cladder_0116 | cladder_train_000115 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | yes | Okay, so I'm trying to figure out whether an employee is more likely to not be fired than being fired based on the given information. Let me start by breaking down the problem step by step.
First, I see that there are three main roles involved: the CEO, the director, and the manager. The relationships are that the CEO... | Okay, so I'm trying to figure out whether an employee is more likely to not be fired than being fired based on the given information. Let me start by breaking down the problem step by step.
First, I see that there are three main roles involved: the CEO, the director, and the manager. The relationships are that the CEO... | 1,785,262,009.403771 | cladder::L000116::DeepSeek-R1-Distill-Llama-8B | 116 | 1 | ||
cladder_0138 | cladder_train_000137 | cladder | deepseek-ai/DeepSeek-R1-Distill-Llama-8B | no | Okay, so I'm trying to figure out whether a manager signing a termination letter decreases the chance of an employee being fired. Let me start by understanding the given information.
First, the background says that in this hypothetical world, the CEO directly affects the director and manager, who in turn affect the em... | Okay, so I'm trying to figure out whether a manager signing a termination letter decreases the chance of an employee being fired. Let me start by understanding the given information.
First, the background says that in this hypothetical world, the CEO directly affects the director and manager, who in turn affect the em... | 1,785,262,010.013221 | cladder::L000138::DeepSeek-R1-Distill-Llama-8B | 138 | 1 |
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