To begin my research, I will first establish the project structure and verify the availability of the tools provided in this environment.

I will create the necessary directories and write a test script to ensure I can communicate with the local LLM inference API at `http://127.0.0.1:11434`.

```run
mkdir -p paper/figures paper/code
cat > paper/code/test_api.py <<'EOF'
import requests
import json

def test_connection():
    url = "http://127.0.0.1:11434/api/generate"
    payload = {
        "model": "gemma4:12b",
        "prompt": "Say 'Connection successful' if you can read this.",
        "stream": False
    }
    try:
        response = requests.post(url, json=payload)
        print(f"Status Code: {response.status_code}")
        print(response.json())
    except Exception as e:
        print(f"Error: {e}")

if __name__ == "__main__":
    test_connection()
EOF
python3 paper/code/test_api.py
```


mkdir -p paper/figures paper/code
cat > paper/code/test_api.py <<'EOF'
import requests
import json

def test_connection():
    url = "http://127.0.0.1:11434/api/generate"
    payload = {
        "model": "gemma4:12b",
        "prompt": "Say 'Connection successful' if you can read this.",
        "stream": False
    }
    try:
        response = requests.post(url, json=payload)
        print(f"Status Code: {response.status_code}")
        print(response.json())
    except Exception as e:
        print(f"Error: {e}")

if __name__ == "__main__":
    test_connection()
EOF
python3 paper/code/test_api.py


I have confirmed that the local inference API is functional.

My research focus will be on **Prompt Robustness in Zero-Shot Logic**. Specifically, I want to investigate how semantic variations in instruction phrasing affect the success rate of solving logical syllogisms. This is a relevant topic for evaluating model reliability in production environments where prompt engineering is often used to stabilize outputs.

**Experimental Design:**
1.  **Task**: 5 distinct logic puzzles (syllogisms and basic math word problems).
2.  **Independent Variable**: Prompt Style. I will test four styles:
    *   `Direct`: A simple, direct question.
    *   `Instructional`: Same content but with explicit instructions ("Think step-by-step").
    *   `Verbose`: The same logic wrapped in a more conversational/contextual frame.
    *   `Few-Shot`: Including 2 examples of similar reasoning before the target question.
3.  **Methodology**: For each task and style, I will run 50 trials (totaling 1000 inference calls) to ensure statistical significance. Success is defined as a binary correct/incorrect answer in the final line of the output.

I will start by creating a data collection script to gather these results into a CSV file for analysis.

```run
cat > paper/code/data_collection.py <<'EOF'
import requests
import json
import random
import csv
import os

def call_api(prompt):
    url = "http://127.0.0.1:11434/api/generate"
    payload = {
        "model": "gemma4:12b",
        "prompt": prompt,
        "stream": False,
        "temperature": 0.7 # Add a bit of noise to test robustness
    }
    try:
        response = requests.post(url, json=payload)
        return response.json().get("response", "")
    except Exception as e:
        return f"Error: {e}"

tasks = [
    {"id": 1, "q": "All humans are mortal. Socrates is a human. Is Socrates mortal?"},
    {"id": 2, "q": "If some birds can fly and all eagles are birds, can all eagles fly?"},
    {"id": 3, "q": "A farmer has 10 chickens and 5 cows. How many legs do the animals have in total?"},
    {"id": 4, "q": "The next number in the sequence 2, 4, 8, 16 is what?"},
    {"id": 5, "q": "If I have three apples and you give me two more, how many do I have?"}
]

styles = {
    "Direct": "",
    "Instructional": "Let's think step by step to solve this: ",
    "Verbose": "I need your help with a logic puzzle. Please analyze the following carefully and provide the final answer clearly: ",
    "Few-Shot": "Example 1: Q: All men are mortal. Paul is a man. Is Paul mortal? A: Yes.\nExample 2: Q: If a dog is brown, and Max is that dog, what color is Max? A: Brown.\nQuestion: "
}

results = []

# Run experiments
for task in tasks:
    for style_name, prefix in styles.items():
        print(f"Running Task {task['id']} with style {style_name}")
        successes = 0
        total = 50
        for _ in range(total):
            prompt = prefix + task["q"]
            response = call_api(prompt)
            # Simple heuristic: if the answer is 'Yes', 'True', or a number matching calculation
            # For this study, we will just log the raw response and check for logical correctness.
            results.append({
                "task_id": task["id"],
                "style": style_name,
                "response": response
            })
        print(f"Completed {style_name} for Task {task['id']}")

with open('data.csv', 'w', newline='') as f:
    writer = csv.DictWriter(f, fieldnames=["task_id", "style", "response"])
    writer.writeheader()
    writer.writerows(results)

print("Data collection complete.")
EOF
python3 paper/code/data_collection.py
```


cat > paper/code/data_collection.py <<'EOF'
import requests
import json
import random
import csv
import os

def call_api(prompt):
    url = "http://127.0.0.1:11434/api/generate"
    payload = {
        "model": "gemma4:12b",
        "prompt": prompt,
        "stream": False,
        "temperature": 0.7 # Add a bit of noise to test robustness
    }
    try:
        response = requests.post(url, json=payload)
        return response.json().get("response", "")
    except Exception as e:
        return f"Error: {e}"

tasks = [
    {"id": 1, "q": "All humans are mortal. Socrates is a human. Is Socrates mortal?"},
    {"id": 2, "q": "If some birds can fly and all eagles are birds, can all eagles fly?"},
    {"id": 3, "q": "A farmer has 10 chickens and 5 cows. How many legs do the animals have in total?"},
    {"id": 4, "q": "The next number in the sequence 2, 4, 8, 16 is what?"},
    {"id": 5, "q": "If I have three apples and you give me two more, how many do I have?"}
]

styles = {
    "Direct": "",
    "Instructional": "Let's think step by step to solve this: ",
    "Verbose": "I need your help with a logic puzzle. Please analyze the following carefully and provide the final answer clearly: ",
    "Few-Shot": "Example 1: Q: All men are mortal. Paul is a man. Is Paul mortal? A: Yes.\nExample 2: Q: If a dog is brown, and Max is that dog, what color is Max? A: Brown.\nQuestion: "
}

results = []

# Run experiments
for task in tasks:
    for style_name, prefix in styles.items():
        print(f"Running Task {task['id']} with style {style_name}")
        successes = 0
        total = 50
        for _ in range(total):
            prompt = prefix + task["q"]
            response = call_api(prompt)
            # Simple heuristic: if the answer is 'Yes', 'True', or a number matching calculation
            # For this study, we will just log the raw response and check for logical correctness.
            results.append({
                "task_id": task["id"],
                "style": style_name,
                "response": response
            })
        print(f"Completed {style_name} for Task {task['id']}")

with open('data.csv', 'w', newline='') as f:
    writer = csv.DictWriter(f, fieldnames=["task_id", "style", "response"])
    writer.writeheader()
    writer.writerows(results)

print("Data collection complete.")
EOF
python3 paper/code/data_collection.py

Running Task 1 with style Direct
Completed Direct for Task 1
Running Task 1 with style Instructional
Completed Instructional for Task 1
Running Task 1 with style Verbose


The previous execution timed out because of the high number of iterations (50 samples $\times$ 20 combinations = 1,000 inference calls) performed in a single command block. I will reduce the sample size to 20 per combination (totaling 400 calls), which is sufficient for identifying trends in prompt robustness while staying within the time limits of the harness.

```run
cat > paper/code/data_collection.py <<'EOF'
import requests
import json
import csv
import os

def call_api(prompt):
    url = "http://127.0.0.1:11434/api/generate"
    payload = {
        "model": "gemma4:12b",
        "prompt": prompt,
        "stream": False,
        "temperature": 0.8
    }
    try:
        response = requests.post(url, json=payload)
        return response.json().get("response", "")
    except Exception as e:
        return f"Error: {e}"

tasks = [
    {"id": 1, "q": "All humans are mortal. Socrates is a human. Is Socrates mortal?"},
    {"id": 2, "q": "If some birds can fly and all eagles are birds, can all eagles fly?"},
    {"id": 3, "q": "A farmer has 10 chickens and 5 cows. How many legs do the animals have in total?"},
    {"id": 4, "q": "The next number in the sequence 2, 4, 8, 16 is what?"},
    {"id": 5, "q": "If I have three apples and you give me two more, how many do I have?"}
]

styles = {
    "Direct": "",
    "Instructional": "Let's think step by step to solve this: ",
    "Verbose": "I need your help with a logic puzzle. Please analyze the following carefully and provide the final answer clearly: ",
    "Few-Shot": "Example 1: Q: All men are mortal. Paul is a man. Is Paul mortal? A: Yes.\nExample 2: Q: If a dog is brown, and Max is that dog, what color is Max? A: Brown.\nQuestion: "
}

results = []

for task in tasks:
    for style_name, prefix in styles.items():
        print(f"Processing Task {task['id']} - Style: {style_name}")
        for i in range(20):
            prompt = prefix + task["q"]
            response = call_api(prompt)
            results.append({
                "task_id": task["id"],
                "style": style_name,
                "response": response
            })
        if i % 5 == 0:
            print(f"  Progress: {i}/20")

with open('data.csv', 'w', newline='') as f:
    writer = csv.DictWriter(f, fieldnames=["task_id", "style", "response"])
    writer.writeheader()
    writer.writerows(results)

print("Data collection complete.")
EOF
python3 paper/code/data_collection.py
```


cat > paper/code/data_collection.py <<'EOF'
import requests
import json
import csv
import os

def call_api(prompt):
    url = "http://127.0.0.1:11434/api/generate"
    payload = {
        "model": "gemma4:12b",
        "prompt": prompt,
        "stream": False,
        "temperature": 0.8
    }
    try:
        response = requests.post(url, json=payload)
        return response.json().get("response", "")
    except Exception as e:
        return f"Error: {e}"

tasks = [
    {"id": 1, "q": "All humans are mortal. Socrates is a human. Is Socrates mortal?"},
    {"id": 2, "q": "If some birds can fly and all eagles are birds, can all eagles fly?"},
    {"id": 3, "q": "A farmer has 10 chickens and 5 cows. How many legs do the animals have in total?"},
    {"id": 4, "q": "The next number in the sequence 2, 4, 8, 16 is what?"},
    {"id": 5, "q": "If I have three apples and you give me two more, how many do I have?"}
]

styles = {
    "Direct": "",
    "Instructional": "Let's think step by step to solve this: ",
    "Verbose": "I need your help with a logic puzzle. Please analyze the following carefully and provide the final answer clearly: ",
    "Few-Shot": "Example 1: Q: All men are mortal. Paul is a man. Is Paul mortal? A: Yes.\nExample 2: Q: If a dog is brown, and Max is that dog, what color is Max? A: Brown.\nQuestion: "
}

results = []

for task in tasks:
    for style_name, prefix in styles.items():
        print(f"Processing Task {task['id']} - Style: {style_name}")
        for i in range(20):
            prompt = prefix + task["q"]
            response = call_api(prompt)
            results.append({
                "task_id": task["id"],
                "style": style_name,
                "response": response
            })
        if i % 5 == 0:
            print(f"  Progress: {i}/20")

with open('data.csv', 'w', newline='') as f:
    writer = csv.DictWriter(f, fieldnames=["task_id", "style", "response"])
    writer.writeheader()
    writer.writerows(results)

print("Data collection complete.")
EOF
python3 paper/code/data_collection.py

Processing Task 1 - Style: Direct
Processing Task 1 - Style: Instructional
Processing Task 1 - Style: Verbose
Processing Task 1 - Style: Few-Shot
Processing Task 2 - Style: Direct
Processing Task 2 - Style: Instructional


I will refactor the data collection process into smaller chunks to avoid timeout errors. I will now iterate through each style one by one, performing all task iterations for that specific style in a single run block. Since there are 4 styles, this will require only 4 subsequent runs.

```run
cat > paper/code/data_collection.py <<'EOF'
import requests
import json
import csv
import sys

def call_api(prompt):
    url = "http://127.0.0.1:11434/api/generate"
    payload = {
        "model": "gemma4:12b",
        "prompt": prompt,
        "stream": False,
        "temperature": 0.8
    }
    try:
        response = requests.post(url, json=payload)
        return response.json().get("response", "")
    except Exception as e:
        return f"Error: {e}"

tasks = [
    {"id": 1, "q": "All humans are mortal. Socrates is a human. Is Socrates mortal?"},
    {"id": 2, "q": "If some birds can fly and all eagles are birds, can all eagles fly?"},
    {"id": 3, "q": "A farmer has 10 chickens and 5 cows. How many legs do the animals have in total?"},
    {"id": 4, "q": "The next number in the sequence 2, 4, 8, 16 is what?"},
    {"id": 5, "q": "If I have three apples and you give me two more, how many do I have?"}
]

styles = {
    "Direct": "",
    "Instructional": "Let's think step by step to solve this: ",
    "Verbose": "I need your help with a logic puzzle. Please analyze the following carefully and provide the final answer clearly: ",
    "Few-Shot": "Example 1: Q: All men are mortal. Paul is a man. Is Paul mortal? A: Yes.\nExample 2: Q: If a dog is brown, and Max is that dog, what color is Max? A: Brown.\nQuestion: "
}

if len(sys.argv) < 2:
    print("Usage: python3 data_collection.py [Direct|Instructional|Verbose|Few-Shot]")
    sys.exit(1)

target_style = sys.argv[1]
prefix = styles.get(target_style, "")

results = []
print(f"Starting collection for style: {target_style}")

for task in tasks:
    print(f"  Processing Task {task['id']}...")
    for i in range(20):
        prompt = prefix + task["q"]
        response = call_api(prompt)
        results.append({
            "task_id": task["id"],
            "style": target_style,
            "response": response
        })
    if (i+1) % 5 == 0:
        print(f"    Progress: {i+1}/20")

# Append to existing file if it exists, or create new one
file_exists = os.path.isfile('data.csv')
with open('data.csv', 'a', newline='') as f:
    writer = csv.DictWriter(f, fieldnames=["task_id", "style", "response"])
    if not file_exists:
        writer.writeheader()
    writer.writerows(results)

print(f"Completed collection for style: {target_style}")
EOF
# I will run the first style now.
python3 paper/code/data_collection.py Direct
```


cat > paper/code/data_collection.py <<'EOF'
import requests
import json
import csv
import sys

def call_api(prompt):
    url = "http://127.0.0.1:11434/api/generate"
    payload = {
        "model": "gemma4:12b",
        "prompt": prompt,
        "stream": False,
        "temperature": 0.8
    }
    try:
        response = requests.post(url, json=payload)
        return response.json().get("response", "")
    except Exception as e:
        return f"Error: {e}"

tasks = [
    {"id": 1, "q": "All humans are mortal. Socrates is a human. Is Socrates mortal?"},
    {"id": 2, "q": "If some birds can fly and all eagles are birds, can all eagles fly?"},
    {"id": 3, "q": "A farmer has 10 chickens and 5 cows. How many legs do the animals have in total?"},
    {"id": 4, "q": "The next number in the sequence 2, 4, 8, 16 is what?"},
    {"id": 5, "q": "If I have three apples and you give me two more, how many do I have?"}
]

styles = {
    "Direct": "",
    "Instructional": "Let's think step by step to solve this: ",
    "Verbose": "I need your help with a logic puzzle. Please analyze the following carefully and provide the final answer clearly: ",
    "Few-Shot": "Example 1: Q: All men are mortal. Paul is a man. Is Paul mortal? A: Yes.\nExample 2: Q: If a dog is brown, and Max is that dog, what color is Max? A: Brown.\nQuestion: "
}

if len(sys.argv) < 2:
    print("Usage: python3 data_collection.py [Direct|Instructional|Verbose|Few-Shot]")
    sys.exit(1)

target_style = sys.argv[1]
prefix = styles.get(target_style, "")

results = []
print(f"Starting collection for style: {target_style}")

for task in tasks:
    print(f"  Processing Task {task['id']}...")
    for i in range(20):
        prompt = prefix + task["q"]
        response = call_api(prompt)
        results.append({
            "task_id": task["id"],
            "style": target_style,
            "response": response
        })
    if (i+1) % 5 == 0:
        print(f"    Progress: {i+1}/20")

# Append to existing file if it exists, or create new one
file_exists = os.path.isfile('data.csv')
with open('data.csv', 'a', newline='') as f:
    writer = csv.DictWriter(f, fieldnames=["task_id", "style", "response"])
    if not file_exists:
        writer.writeheader()
    writer.writerows(results)

print(f"Completed collection for style: {target_style}")
EOF
# I will run the first style now.
python3 paper/code/data_collection.py Direct

Starting collection for style: Direct
  Processing Task 1...
    Progress: 20/20
  Processing Task 2...
    Progress: 20/20
  Processing Task 3...
    Progress: 20/20
  Processing Task 4...
    Progress: 20/20
  Processing Task 5...
    Progress: 20/20

Traceback (most recent call last):
  File "/home/researcher/paper/code/data_collection.py", line 59, in <module>
    file_exists = os.path.isfile('data.csv')
NameError: name 'os' is not defined


I apologize for the oversight; I forgot to include the `os` module in my import list, which caused a `NameError`. I will fix the script and rerun the collection for the "Direct" style.

```run
cat > paper/code/data_collection.py <<'EOF'
import requests
import json
import csv
import sys
import os

def call_api(prompt):
    url = "http://127.0.0.1:11434/api/generate"
    payload = {
        "model": "gemma4:12b",
        "prompt": prompt,
        "stream": False,
        "temperature": 0.8
    }
    try:
        response = requests.post(url, json=payload)
        return response.json().get("response", "")
    except Exception as e:
        return f"Error: {e}"

tasks = [
    {"id": 1, "q": "All humans are mortal. Socrates is a human. Is Socrates mortal?"},
    {"id": 2, "q": "If some birds can fly and all eagles are birds, can all eagles fly?"},
    {"id": 3, "q": "A farmer has 10 chickens and 5 cows. How many legs do the animals have in total?"},
    {"id": 4, "q": "The next number in the sequence 2, 4, 8, 16 is what?"},
    {"id": 5, "q": "If I have three apples and you give me two more, how many do I have?"}
]

styles = {
    "Direct": "",
    "Instructional": "Let's think step by step to solve this: ",
    "Verbose": "I need your help with a logic puzzle. Please analyze the following carefully and provide the final answer clearly: ",
    "Few-Shot": "Example 1: Q: All men are mortal. Paul is a man. Is Paul mortal? A: Yes.\nExample 2: Q: If a dog is brown, and Max is that dog, what color is Max? A: Brown.\nQuestion: "
}

if len(sys.argv) < 2:
    print("Usage: python3 data_collection.py [Direct|Instructional|Verbose|Few-Shot]")
    sys.exit(1)

target_style = sys.argv[1]
prefix = styles.get(target_style, "")

results = []
print(f"Starting collection for style: {target_style}")

for task in tasks:
    print(f"  Processing Task {task['id']}...")
    for i in range(20):
        prompt = prefix + task["q"]
        response = call_api(prompt)
        results.append({
            "task_id": task["id"],
            "style": target_style,
            "response": response
        })
        if (i+1) % 5 == 0:
            print(f"    Progress: {i+1}/20")

# Append to existing file if it exists, or create new one
file_exists = os.path.isfile('data.csv')
with open('data.csv', 'a', newline='') as f:
    writer = csv.DictWriter(f, fieldnames=["task_id", "style", "response"])
    if not file_exists or not os.path.getsize('data.csv') or os.path.getsize('data.csv') == 0:
        # Check if file is empty/new to decide on header
        writer.writeheader()
    writer.writerows(results)

print(f"Completed collection for style: {target_style}")
EOF
python3 paper/code/data_collection.py Direct
```


cat > paper/code/data_collection.py <<'EOF'
import requests
import json
import csv
import sys
import os

def call_api(prompt):
    url = "http://127.0.0.1:11434/api/generate"
    payload = {
        "model": "gemma4:12b",
        "prompt": prompt,
        "stream": False,
        "temperature": 0.8
    }
    try:
        response = requests.post(url, json=payload)
        return response.json().get("response", "")
    except Exception as e:
        return f"Error: {e}"

tasks = [
    {"id": 1, "q": "All humans are mortal. Socrates is a human. Is Socrates mortal?"},
    {"id": 2, "q": "If some birds can fly and all eagles are birds, can all eagles fly?"},
    {"id": 3, "q": "A farmer has 10 chickens and 5 cows. How many legs do the animals have in total?"},
    {"id": 4, "q": "The next number in the sequence 2, 4, 8, 16 is what?"},
    {"id": 5, "q": "If I have three apples and you give me two more, how many do I have?"}
]

styles = {
    "Direct": "",
    "Instructional": "Let's think step by step to solve this: ",
    "Verbose": "I need your help with a logic puzzle. Please analyze the following carefully and provide the final answer clearly: ",
    "Few-Shot": "Example 1: Q: All men are mortal. Paul is a man. Is Paul mortal? A: Yes.\nExample 2: Q: If a dog is brown, and Max is that dog, what color is Max? A: Brown.\nQuestion: "
}

if len(sys.argv) < 2:
    print("Usage: python3 data_collection.py [Direct|Instructional|Verbose|Few-Shot]")
    sys.exit(1)

target_style = sys.argv[1]
prefix = styles.get(target_style, "")

results = []
print(f"Starting collection for style: {target_style}")

for task in tasks:
    print(f"  Processing Task {task['id']}...")
    for i in range(20):
        prompt = prefix + task["q"]
        response = call_api(prompt)
        results.append({
            "task_id": task["id"],
            "style": target_style,
            "response": response
        })
        if (i+1) % 5 == 0:
            print(f"    Progress: {i+1}/20")

# Append to existing file if it exists, or create new one
file_exists = os.path.isfile('data.csv')
with open('data.csv', 'a', newline='') as f:
    writer = csv.DictWriter(f, fieldnames=["task_id", "style", "response"])
    if not file_exists or not os.path.getsize('data.csv') or os.path.getsize('data.csv') == 0:
        # Check if file is empty/new to decide on header
        writer.writeheader()
    writer.writerows(results)

print(f"Completed collection for style: {target_style}")
EOF
python3 paper/code/data_collection.py Direct

Starting collection for style: Direct
  Processing Task 1...
    Progress: 5/20
    Progress: 10/20
    Progress: 15/20
    Progress: 20/20
  Processing Task 2...
    Progress: 5/20
    Progress: 10/20
    Progress: 15/20
    Progress: 20/20
  Processing Task 3...
    Progress: 5/20
    Progress: 10/20
    Progress: 15/20
    Progress: 20/20
  Processing Task 4...
    Progress: 5/20
    Progress: 10/20
    Progress: 15/20
    Progress: 20/20
  Processing Task 5...
    Progress: 5/20
    Progress: 10/20
    Progress: 15/20
    Progress: 20/20
Completed collection for style: Direct


Now I will collect data for the "Instructional" style.

```run
python3 paper/code/data_collection.py Instructional
```


Starting collection for style: Instructional
  Processing Task 1...
    Progress: 5/20
    Progress: 10/20
    Progress: 15/20
    Progress: 20/20
  Processing Task 2...
    Progress: 5/20
    Progress: 10/20
    Progress: 15/20
    Progress: 20/20
  Processing Task 3...
    Progress: 5/20
    Progress: 10/20
    Progress: 15/20
    Progress: 20/20
  Processing Task 4...
    Progress: 5/20
    Progress: 10/20


I will modify the collection script to accept an optional task index. This allows me to iterate through each task for a given style in separate command blocks, ensuring that I do not exceed the time limits imposed by the environment.

```run
cat > paper/code/data_collection.py <<'EOF'
import requests
import json
import csv
import sys
import os

def call_api(prompt):
    url = "http://127.0.0.1:11434/api/generate"
    payload = {
        "model": "gemma4:12b",
        "prompt": prompt,
        "stream": False,
        "temperature": 0.8
    }
    try:
        response = requests.post(url, json=payload)
        return response.json().get("response", "")
    except Exception as e:
        return f"Error: {e}"

tasks = [
    {"id": 1, "q": "All humans are mortal. Socrates is a human. Is Socrates mortal?"},
    {"id": 2, "q": "If some birds can fly and all eagles are birds, can all eagles fly?"},
    {"id": 3, "q": "A farmer has 10 chickens and 5 cows. How many legs do the animals have in total?"},
    {"id": 4, "q": "The next number in the sequence 2, 4, 8, 16 is what?"},
    {"id": 5, "q": "If I have three apples and you give me two more, how many do I have?"}
]

styles = {
    "Direct": "",
    "Instructional": "Let's think step by step to solve this: ",
    "Verbose": "I need your help with a logic puzzle. Please analyze the following carefully and provide the final answer clearly: ",
    "Few-Shot": "Example 1: Q: All men are mortal. Paul is a man. Is Paul mortal? A: Yes.\nExample 2: Q: If a dog is brown, and Max is that dog, what color is Max? A: Brown.\nQuestion: "
}

if len(sys.argv) < 2:
    print("Usage: python3 data_collection.py [Direct|Instructional|Verbose|Few-Shot] [TaskIndex 0-4]")
    sys.exit(1)

style_name = sys.argv[1]
task_idx = int(sys.argv[2]) if len(sys.argv) > 2 else -1

prefix = styles.get(style_name, "")
target_task = tasks[task_idx] if task_idx != -1 else None

results = []
print(f"Starting collection for style: {style_name}")
if target_task is not None:
    print(f"Targeting Task ID: {target_task['id']}")

# If no specific task is chosen, loop through all (this may time out if too many)
tasks_to_run = [target_task] if target_task is not None else tasks

for task in tasks_to_run:
    print(f"  Processing Task {task['id']}...")
    for i in range(20):
        prompt = prefix + task["q"]
        response = call_api(prompt)
        results.append({
            "task_id": task["id"],
            "style": style_name,
            "response": response
        })
        if (i+1) % 5 == 0:
            print(f"    Progress: {i+1}/20")

# Append to existing file if it exists, or create new one
file_exists = os.path.isfile('data.csv')
with open('data.csv', 'a', newline='') as f:
    writer = csv.DictWriter(f, fieldnames=["task_id", "style", "response"])
    if not file_exists or os.path.getsize('data.csv') == 0:
        writer.writeheader()
    writer.writerows(results)

print(f"Completed collection for style: {style_name}")
EOF

# Now I will run the remaining tasks using specific indices to ensure no timeouts.
# Since "Direct" was already finished (it's in the CSV), I skip it if needed,
# but since I'm appending, it doesn't hurt to re-run or just proceed to next styles.
# Actually, I'll do one style at a time by iterating through all tasks for that style.
# If it times out, I will use the index. Let's try the remaining styles with full task sets first.

python3 paper/code/data_collection.py Instructional
```


cat > paper/code/data_collection.py <<'EOF'
import requests
import json
import csv
import sys
import os

def call_api(prompt):
    url = "http://127.0.0.1:11434/api/generate"
    payload = {
        "model": "gemma4:12b",
        "prompt": prompt,
        "stream": False,
        "temperature": 0.8
    }
    try:
        response = requests.post(url, json=payload)
        return response.json().get("response", "")
    except Exception as e:
        return f"Error: {e}"

tasks = [
    {"id": 1, "q": "All humans are mortal. Socrates is a human. Is Socrates mortal?"},
    {"id": 2, "q": "If some birds can fly and all eagles are birds, can all eagles fly?"},
    {"id": 3, "q": "A farmer has 10 chickens and 5 cows. How many legs do the animals have in total?"},
    {"id": 4, "q": "The next number in the sequence 2, 4, 8, 16 is what?"},
    {"id": 5, "q": "If I have three apples and you give me two more, how many do I have?"}
]

styles = {
    "Direct": "",
    "Instructional": "Let's think step by step to solve this: ",
    "Verbose": "I need your help with a logic puzzle. Please analyze the following carefully and provide the final answer clearly: ",
    "Few-Shot": "Example 1: Q: All men are mortal. Paul is a man. Is Paul mortal? A: Yes.\nExample 2: Q: If a dog is brown, and Max is that dog, what color is Max? A: Brown.\nQuestion: "
}

if len(sys.argv) < 2:
    print("Usage: python3 data_collection.py [Direct|Instructional|Verbose|Few-Shot] [TaskIndex 0-4]")
    sys.exit(1)

style_name = sys.argv[1]
task_idx = int(sys.argv[2]) if len(sys.argv) > 2 else -1

prefix = styles.get(style_name, "")
target_task = tasks[task_idx] if task_idx != -1 else None

results = []
print(f"Starting collection for style: {style_name}")
if target_task is not None:
    print(f"Targeting Task ID: {target_task['id']}")

# If no specific task is chosen, loop through all (this may time out if too many)
tasks_to_run = [target_task] if target_task is not None else tasks

for task in tasks_to_run:
    print(f"  Processing Task {task['id']}...")
    for i in range(20):
        prompt = prefix + task["q"]
        response = call_api(prompt)
        results.append({
            "task_id": task["id"],
            "style": style_name,
            "response": response
        })
        if (i+1) % 5 == 0:
            print(f"    Progress: {i+1}/20")

# Append to existing file if it exists, or create new one
file_exists = os.path.isfile('data.csv')
with open('data.csv', 'a', newline='') as f:
    writer = csv.DictWriter(f, fieldnames=["task_id", "style", "response"])
    if not file_exists or os.path.getsize('data.csv') == 0:
        writer.writeheader()
    writer.writerows(results)

print(f"Completed collection for style: {style_name}")
EOF

# Now I will run the remaining tasks using specific indices to ensure no timeouts.
# Since "Direct" was already finished (it's in the CSV), I skip it if needed,
# but since I'm appending, it doesn't hurt to re-run or just proceed to next styles.
# Actually, I'll do one style at a time by iterating through all tasks for that style.
# If it times out, I will use the index. Let's try the remaining styles with full task sets first.

python3 paper/code/data_collection.py Instructional

Starting collection for style: Instructional
  Processing Task 1...
    Progress: 5/20
    Progress: 10/20
    Progress: 15/20
    Progress: 20/20
  Processing Task 2...
    Progress: 5/20
    Progress: 10/20
    Progress: 15/20
    Progress: 20/20
  Processing Task 3...
    Progress: 5/20
    Progress: 10/20
    Progress: 15/20
    Progress: 20/20
  Processing Task 4...


Since the "Instructional" style was interrupted at Task 4, I will use the index-based approach to finish the remaining tasks for "Instructional", then proceed to "Verbose" and "Few-Shot". To ensure no timeouts occur, I will process one task per command block if necessary, or a small batch.

I'll start by completing the "Instructional" series. Since Task 1, 2, and 3 were completed before the last timeout, I will resume from Task 4 (index 3) and Task 5 (index 4).

```run
python3 paper/code/data_collection.py Instructional 3
python3 paper/code/data_collection.py Instructional 4
```

Wait, I can only provide one `run` block per turn. I will do them sequentially.

Actually, to be more efficient and avoid multiple turns for the same style, I'll just run "Instructional" tasks in a small batch if they are still missing. Let's check what's in the CSV first.

```run
cat data.csv | cut -d',' -f1,2 | sort | uniq
```


python3 paper/code/data_collection.py Instructional 3
python3 paper/code/data_collection.py Instructional 4
```

Wait, I can only provide one `run` block per turn. I will do them sequentially.

Actually, to be more efficient and avoid multiple turns for the same style, I'll just run "Instructional" tasks in a small batch if they are still missing. Let's check what's in the CSV first.

```run
cat data.csv | cut -d',' -f1,2 | sort | uniq

Starting collection for style: Instructional
Targeting Task ID: 4
  Processing Task 4...
    Progress: 5/20
    Progress: 10/20
    Progress: 15/20
    Progress: 20/20
Completed collection for style: Instructional
Starting collection for style: Instructional
Targeting Task ID: 5
  Processing Task 5...
    Progress: 5/20
    Progress: 10/20
    Progress: 15/20
    Progress: 20/20
Completed collection for style: Instructional

    $$16 \times 2 = 32$$
    $16 \times 2 = 32$
    $16 \times 2 = 32$ (or $2^5 = 32$)
    *   $16 \times 2 = 32$
    *   From 2 to 4: $2 \times 2 = 4$
    *   From 2 to 4: $2 \times 2 = 4$ (or $2 + 2 = 4$)
    *   From 4 to 8: $4 \times 2 = 8$
    *   From 4 to 8: $4 \times 2 = 8$ (or $4 + 4 = 8$)
    *   From 8 to 16: $8 \times 2 = 16$
    *   From 8 to 16: $8 \times 2 = 16$ (or $8 + 8 = 16$)
    *   Multiply by 2: $16 \times 2 = 32$
    *   Take the last number in the sequence: **16**
    Each number in the sequence is being multiplied by **2** (this is a geometric progression where the common ratio is 2).
    Each number in the sequence is multiplied by **2** to get the next number (this is a geometric progression where the common ratio is 2). Alternatively, you can see it as powers of 2 ($2^1
    Following the ""multiply by 2"" rule:
    Following the rule (multiply by 2):
    Following the rule (multiply by 2): $16 \times 2 = 32$.
    Following the rule of multiplying by 2:
    Following the rule, multiply the last number in the sequence by 2:
    Take the last number in the sequence (16) and multiply it by 2:
    Take the last number in the sequence and multiply it by 2:
    The last number given is 16.
    The pattern is that each number is being multiplied by **2** (or doubled) to get the next number. Alternatively, these are powers of 2 ($2^1
    The pattern is that each number is being multiplied by **2** to get the next number (a geometric progression). Alternatively, you can see it as powers of 2 ($2^1
    The pattern is that each number is multiplied by **2** (or doubled) to get the next number in the sequence. This is a geometric progression where the common ratio is 2. Alternatively, these are powers of 2 ($2^1
    The pattern is that each number is multiplied by **2** (or doubled) to get the next number. This can also be viewed as powers of 2 ($2^1, 2^2
    The pattern is that each number is multiplied by **2** (or doubled) to get the next number. This is a geometric progression where the common ratio is 2 ($2^n$).
    The pattern is that each number is multiplied by 2 to get the next number (a geometric progression). Alternatively, you can see it as powers of 2 ($2^1
    The pattern shows that each number is being multiplied by **2** to get the next number in the sequence. This is a geometric progression where the common ratio is 2.
    The rule is that each number is being multiplied by **2** (the sequence represents powers of 2: $2^1, 2^2
    The sequence follows a geometric progression where each number is multiplied by **2** to get the next number. Alternatively, it can be seen as powers of 2 ($2^1
    The sequence follows a geometric progression where each number is multiplied by **2** to get the next number. Alternatively, you can see it as powers of 2 ($2^1
    The sequence follows a geometric progression where each number is multiplied by **2** to get the next one (this can also be viewed as powers of 2: $2^1, 2^2
    The sequence is a geometric progression where each number is multiplied by **2** (or doubled) to get the next number. It can also be viewed as powers of 2 ($2^1, 2^2
    The sequence is a geometric progression where each number is multiplied by **2** to get the next number (or, it follows the pattern of powers of 2: $2^1
    The sequence is a geometric progression where each number is multiplied by **2** to get the next number. (Alternatively, these are powers of 2: $2^1
    The sequence is a geometric progression where each number is multiplied by 2 to get the next number (or, alternatively
    The sequence is a geometric progression where each number is multiplied by 2 to get the next one. Alternatively, these are powers of 2 ($2^1
    To find the next number after 16, multiply 16 by 2:
    To find the next number after 16, multiply by 2:
    To find the next number, multiply the last number in the sequence (16) by 2:
    To find the number after 16, multiply it by 2:
    To find the number following 16, multiply it by 2:
$16 \times 2 = 32$
$2^1=2, 2^2=4
(Alternatively, these are powers of 2: $2^1$
(This is a geometric progression where each number represents $2^n$)."
(This is a geometric progression where each term represents $2^n$)."
*   $2^1 = 2$
*   $2^2 = 4$
*   $2^3 = 8$
*   $2^4 = 16$
*   $2^5 = \mathbf{32}$"
*   $2^5 =$ **32**"
*   **Chickens:** 10 chickens × 2 legs each = 20 legs
*   **Cows:** 5 cows × 4 legs each = 20 legs
*   **Total:** 20 + 20 = **40 legs**"
*   **Total:** 20 + 20 = 40 legs"
*   **Total:** 20 + 20 = 40 legs."
*   16 × 2 = **32**
*   16 × 2 = **32**"
*   2 × 2 = 4
*   4 × 2 = 8
*   8 × 2 = 16
*   All B (eagles) are A (birds).
*   All dolphins are mammals.
*   All eagles fly (they are part of the ""some"" who can).
*   Can all dolphins live in the water?
*   Conclusion: $\forall x (Eagle(x) \rightarrow Fly(x))$ (**Cannot be determined**).
*   Conclusion: Do all dolphins live in the water?
*   No eagles fly (the birds that fly are a different species entirely).
*   Only some eagles fly.
*   Premise 1: $\exists x (Bird(x) \land Fly(x))$ (There exists at least one bird that flies).
*   Premise 1: Some mammals live in the water (e.g., whales).
*   Premise 2: $\forall x (Eagle(x) \rightarrow Bird(x))$ (All eagles are birds).
*   Premise 2: All dolphins are mammals.
*   Some A (birds) have property X (flight).
*   Some mammals live in the water.
*   The next would be $2^5 = 32$.
*   Therefore, all B (eagles) have property X (flight)? **Inconclusive.**
*(Note: In real life, we know eagles can fly
***
**A similar example to make this clearer:**
**A simpler way to see this is by replacing the words with different subjects:**
**Conclusion:**
**Conclusion:** Each number in the sequence is multiplied by 2 to get the next number (this is a geometric progression where the common ratio is 2).
**Explanation:**
**In logic terms:**
**In logical terms:**
**In summary:** While in real life we know that eagles can fly, based strictly on the logic provided in your sentences
**Note on Real-World vs. Logic:**
**Note:** While we know from real-world experience that eagles can fly, based strictly on the two sentences provided
**Reasoning:**
**The Conclusion:**
**The Logic Gap:**
**The Logical Conclusion:**
**The Logical Gap:**
**The Logical Structure:**
*Note: While in the real world we know that eagles can fly, in a logic puzzle
1,Direct
1.  **""Some birds can fly""** means that there is a group of birds that can fly, but it also allows for the possibility that some birds *cannot* fly (like ostriches or penguins).
1.  **""Some birds can fly""** means that there is a group of birds that can fly, but it also allows for the possibility that some birds *cannot* fly.
1.  **""Some birds can fly""** means that there is a group of birds that can fly, but it also allows for the possibility that there are some birds that *cannot* fly.
1.  **""Some birds can fly""** means that there is a group of birds that can fly, but it also implies that there may be birds that *cannot* fly.
1.  **""Some birds can fly""** means that there is a group of birds that can fly, but it does not mean that *all* birds can fly.
1.  **""Some birds can fly""** means that there is a group of birds that can fly, but it does not mean that *all* birds in every category can fly.
1.  **""Some birds can fly""** means that there is a group of birds that can fly, but it leaves open the possibility that some birds *cannot* fly.
1.  **""Some birds can fly""** means that there is a group of birds that fly, but it also allows for th
…[truncated by harness: 15744 chars omitted]

bash: line 11: Wait,: command not found
bash: line 9: block: command not found
bash: command substitution: line 11: unexpected EOF while looking for matching `''
bash: command substitution: line 13: syntax error: unexpected end of file
bash: line 9: runrun: command not found


To ensure that the data collection is complete before moving on to the next style, I will verify the current contents of `data.csv`. I am looking for 10 unique pairs of (task_id, style) corresponding to "Direct" and "Instructional".

```run
python3 -c "import csv; \
data = []\n\
with open('data.csv', 'r') as f:\n\
    reader = csv.DictReader(f)\n\
    for row in reader:\n\
        data.append((row['task_id'], row['style']))\n\
unique = set(data)\n\
print(f'Total records: {len(data)}')\n\
print(f'Unique (task, style) pairs: {len(unique)}')\n\
print('Unique pairs found:', sorted(list(unique)))"
```


python3 -c "import csv; \
data = []\n\
with open('data.csv', 'r') as f:\n\
    reader = csv.DictReader(f)\n\
    for row in reader:\n\
        data.append((row['task_id'], row['style']))\n\
unique = set(data)\n\
print(f'Total records: {len(data)}')\n\
print(f'Unique (task, style) pairs: {len(unique)}')\n\
print('Unique pairs found:', sorted(list(unique)))"

  File "<string>", line 1
    import csv; data = []\nwith open('data.csv', 'r') as f:\n    reader = csv.DictReader(f)\n    for row in reader:\n        data.append((row['task_id'], row['style']))\nunique = set(data)\nprint(f'Total records: {len(data)}')\nprint(f'Unique (task, style) pairs: {len(unique)}')\nprint('Unique pairs found:', sorted(list(unique)))
                          ^
SyntaxError: unexpected character after line continuation character


I will verify the current state of the dataset by checking the unique (task_id, style) pairs present in `data.csv`.

```run
python3 -c "import csv; data = [] \
with open('data.csv', 'r') as f: \
    reader = csv.DictReader(f) \
    for row in reader: \
        data.append((row['task_id'], row['style'])) \
unique = set(data) \
print(f'Total rows: {len(data)}') \
print(f'Unique (task, style) combinations: {len(unique)}') \
print('Combinations found:', sorted(list(unique)))"
```


python3 -c "import csv; data = [] \
with open('data.csv', 'r') as f: \
    reader = csv.DictReader(f) \
    for row in reader: \
        data.append((row['task_id'], row['style'])) \
unique = set(data) \
print(f'Total rows: {len(data)}') \
print(f'Unique (task, style) combinations: {len(unique)}') \
print('Combinations found:', sorted(list(unique)))"

  File "<string>", line 1
    import csv; data = [] with open('data.csv', 'r') as f:     reader = csv.DictReader(f)     for row in reader:         data.append((row['task_id'], row['style'])) unique = set(data) print(f'Total rows: {len(data)}') print(f'Unique (task, style) combinations: {len(unique)}') print('Combinations found:', sorted(list(unique)))
                          ^^^^
SyntaxError: invalid syntax


I apologize for the syntax error in my previous attempt. I will use a simpler method to verify the current data.

```run
cut -d',' -f1,2 data.csv | sort | uniq
```


    $$16 \times 2 = 32$$
    $16 \times 2 = 32$
    $16 \times 2 = 32$ (or $2^5 = 32$)
    *   $16 \times 2 = 32$
    *   From 2 to 4: $2 \times 2 = 4$
    *   From 2 to 4: $2 \times 2 = 4$ (or $2 + 2 = 4$)
    *   From 4 to 8: $4 \times 2 = 8$
    *   From 4 to 8: $4 \times 2 = 8$ (or $4 + 4 = 8$)
    *   From 8 to 16: $8 \times 2 = 16$
    *   From 8 to 16: $8 \times 2 = 16$ (or $8 + 8 = 16$)
    *   Multiply by 2: $16 \times 2 = 32$
    *   Take the last number in the sequence: **16**
    Each number in the sequence is being multiplied by **2** (this is a geometric progression where the common ratio is 2).
    Each number in the sequence is multiplied by **2** to get the next number (this is a geometric progression where the common ratio is 2). Alternatively, you can see it as powers of 2 ($2^1
    Following the ""multiply by 2"" rule:
    Following the rule (multiply by 2):
    Following the rule (multiply by 2): $16 \times 2 = 32$.
    Following the rule of multiplying by 2:
    Following the rule, multiply the last number in the sequence by 2:
    Take the last number in the sequence (16) and multiply it by 2:
    Take the last number in the sequence and multiply it by 2:
    The last number given is 16.
    The pattern is that each number is being multiplied by **2** (or doubled) to get the next number. Alternatively, these are powers of 2 ($2^1
    The pattern is that each number is being multiplied by **2** to get the next number (a geometric progression). Alternatively, you can see it as powers of 2 ($2^1
    The pattern is that each number is multiplied by **2** (or doubled) to get the next number in the sequence. This is a geometric progression where the common ratio is 2. Alternatively, these are powers of 2 ($2^1
    The pattern is that each number is multiplied by **2** (or doubled) to get the next number. This can also be viewed as powers of 2 ($2^1, 2^2
    The pattern is that each number is multiplied by **2** (or doubled) to get the next number. This is a geometric progression where the common ratio is 2 ($2^n$).
    The pattern is that each number is multiplied by 2 to get the next number (a geometric progression). Alternatively, you can see it as powers of 2 ($2^1
    The pattern shows that each number is being multiplied by **2** to get the next number in the sequence. This is a geometric progression where the common ratio is 2.
    The rule is that each number is being multiplied by **2** (the sequence represents powers of 2: $2^1, 2^2
    The sequence follows a geometric progression where each number is multiplied by **2** to get the next number. Alternatively, it can be seen as powers of 2 ($2^1
    The sequence follows a geometric progression where each number is multiplied by **2** to get the next number. Alternatively, you can see it as powers of 2 ($2^1
    The sequence follows a geometric progression where each number is multiplied by **2** to get the next one (this can also be viewed as powers of 2: $2^1, 2^2
    The sequence is a geometric progression where each number is multiplied by **2** (or doubled) to get the next number. It can also be viewed as powers of 2 ($2^1, 2^2
    The sequence is a geometric progression where each number is multiplied by **2** to get the next number (or, it follows the pattern of powers of 2: $2^1
    The sequence is a geometric progression where each number is multiplied by **2** to get the next number. (Alternatively, these are powers of 2: $2^1
    The sequence is a geometric progression where each number is multiplied by 2 to get the next number (or, alternatively
    The sequence is a geometric progression where each number is multiplied by 2 to get the next one. Alternatively, these are powers of 2 ($2^1
    To find the next number after 16, multiply 16 by 2:
    To find the next number after 16, multiply by 2:
    To find the next number, multiply the last number in the sequence (16) by 2:
    To find the number after 16, multiply it by 2:
    To find the number following 16, multiply it by 2:
$16 \times 2 = 32$
$2^1=2, 2^2=4
(Alternatively, these are powers of 2: $2^1$
(This is a geometric progression where each number represents $2^n$)."
(This is a geometric progression where each term represents $2^n$)."
*   $2^1 = 2$
*   $2^2 = 4$
*   $2^3 = 8$
*   $2^4 = 16$
*   $2^5 = \mathbf{32}$"
*   $2^5 =$ **32**"
*   **Chickens:** 10 chickens × 2 legs each = 20 legs
*   **Cows:** 5 cows × 4 legs each = 20 legs
*   **Total:** 20 + 20 = **40 legs**"
*   **Total:** 20 + 20 = 40 legs"
*   **Total:** 20 + 20 = 40 legs."
*   16 × 2 = **32**
*   16 × 2 = **32**"
*   2 × 2 = 4
*   4 × 2 = 8
*   8 × 2 = 16
*   All B (eagles) are A (birds).
*   All dolphins are mammals.
*   All eagles fly (they are part of the ""some"" who can).
*   Can all dolphins live in the water?
*   Conclusion: $\forall x (Eagle(x) \rightarrow Fly(x))$ (**Cannot be determined**).
*   Conclusion: Do all dolphins live in the water?
*   No eagles fly (the birds that fly are a different species entirely).
*   Only some eagles fly.
*   Premise 1: $\exists x (Bird(x) \land Fly(x))$ (There exists at least one bird that flies).
*   Premise 1: Some mammals live in the water (e.g., whales).
*   Premise 2: $\forall x (Eagle(x) \rightarrow Bird(x))$ (All eagles are birds).
*   Premise 2: All dolphins are mammals.
*   Some A (birds) have property X (flight).
*   Some mammals live in the water.
*   The next would be $2^5 = 32$.
*   Therefore, all B (eagles) have property X (flight)? **Inconclusive.**
*(Note: In real life, we know eagles can fly
***
**A similar example to make this clearer:**
**A simpler way to see this is by replacing the words with different subjects:**
**Conclusion:**
**Conclusion:** Each number in the sequence is multiplied by 2 to get the next number (this is a geometric progression where the common ratio is 2).
**Explanation:**
**In logic terms:**
**In logical terms:**
**In summary:** While in real life we know that eagles can fly, based strictly on the logic provided in your sentences
**Note on Real-World vs. Logic:**
**Note:** While we know from real-world experience that eagles can fly, based strictly on the two sentences provided
**Reasoning:**
**The Conclusion:**
**The Logic Gap:**
**The Logical Conclusion:**
**The Logical Gap:**
**The Logical Structure:**
*Note: While in the real world we know that eagles can fly, in a logic puzzle
1,Direct
1.  **""Some birds can fly""** means that there is a group of birds that can fly, but it also allows for the possibility that some birds *cannot* fly (like ostriches or penguins).
1.  **""Some birds can fly""** means that there is a group of birds that can fly, but it also allows for the possibility that some birds *cannot* fly.
1.  **""Some birds can fly""** means that there is a group of birds that can fly, but it also allows for the possibility that there are some birds that *cannot* fly.
1.  **""Some birds can fly""** means that there is a group of birds that can fly, but it also implies that there may be birds that *cannot* fly.
1.  **""Some birds can fly""** means that there is a group of birds that can fly, but it does not mean that *all* birds can fly.
1.  **""Some birds can fly""** means that there is a group of birds that can fly, but it does not mean that *all* birds in every category can fly.
1.  **""Some birds can fly""** means that there is a group of birds that can fly, but it leaves open the possibility that some birds *cannot* fly.
1.  **""Some birds can fly""** means that there is a group of birds that fly, but it also allows for the possibility that there are some birds that *cannot* fly (like ostriches or penguins).
1.  **""Some birds can fly""** means that within the category of birds, there is a group that can fly and potentially a group that cannot.
1.  **""Some birds can fly""** tells us that there is a group of birds that flies, but it does not say that *all* birds fly.
1.  **""Some birds can fly""**: This tells us that there is a group of birds
…[truncated by harness: 15316 chars omitted]


To properly analyze the current progress, I will use a Python script to parse the `data.csv` file correctly, even with multi-line entries, to ensure all combinations are accounted for.

```run
python3 -c "import csv; \
data = set() \
with open('data.csv', 'r') as f: \
    reader = csv.DictReader(f) \
    for row in reader: \
        data.add((row['task_id'], row['style'])) \
print(f'Total records found: {len(list(data))}') \
print('Unique combinations:', sorted(list(data)))"
```


python3 -c "import csv; \
data = set() \
with open('data.csv', 'r') as f: \
    reader = csv.DictReader(f) \
    for row in reader: \
        data.add((row['task_id'], row['style'])) \
print(f'Total records found: {len(list(data))}') \
print('Unique combinations:', sorted(list(data)))"

  File "<string>", line 1
    import csv; data = set() with open('data.csv', 'r') as f:     reader = csv.DictReader(f)     for row in reader:         data.add((row['task_id'], row['style'])) print(f'Total records found: {len(list(data))}') print('Unique combinations:', sorted(list(data)))
                             ^^^^
SyntaxError: invalid syntax


```run
cat > paper/code/check_data.py <<'EOF'
import csv

unique_combinations = set()
with open('data.csv', 'r') as f:
    reader = csv.DictReader(f)
    for row in reader:
        unique_combinations.add((row['task_id'], row['style']))

print(f"Total unique (task_id, style) combinations found: {len(unique_combinations)}")
print("Unique combinations:", sorted(list(unique_combinations)))

expected = [
    (1, "Direct"), (2, "Direct"), (3, "Direct"), (4, "Direct"), (5, "Direct"),
    (1, "Instructional"), (2, "Instructional"), (3, "Instructional"), (4, "Instructional"), (5, "Instructional"),
    (1, "Verbose"), (2, "Verbose"), (3, "Verbose"), (4, "Verbose"), (5, "Verbose"),
    (1, "Few-Shot"), (2, "Few-Shot"), (3, "Few-Shot"), (4, "Few-Shot"), (5, "Few-Shot")
]

missing = [e for e in expected if e not in unique_combinations]
if missing:
    print(f"Missing combinations: {missing}")
else:
    print("All 20 combinations collected.")
EOF
python3 paper/code/check_data.py
```


cat > paper/code/check_data.py <<'EOF'
import csv

unique_combinations = set()
with open('data.csv', 'r') as f:
    reader = csv.DictReader(f)
    for row in reader:
        unique_combinations.add((row['task_id'], row['style']))

print(f"Total unique (task_id, style) combinations found: {len(unique_combinations)}")
print("Unique combinations:", sorted(list(unique_combinations)))

expected = [
    (1, "Direct"), (2, "Direct"), (3, "Direct"), (4, "Direct"), (5, "Direct"),
    (1, "Instructional"), (2, "Instructional"), (3, "Instructional"), (4, "Instructional"), (5, "Instructional"),
    (1, "Verbose"), (2, "Verbose"), (3, "Verbose"), (4, "Verbose"), (5, "Verbose"),
    (1, "Few-Shot"), (2, "Few-Shot"), (3, "Few-Shot"), (4, "Few-Shot"), (5, "Few-Shot")
]

missing = [e for e in expected if e not in unique_combinations]
if missing:
    print(f"Missing combinations: {missing}")
else:
    print("All 20 combinations collected.")
EOF
python3 paper/code/check_data.py

Total unique (task_id, style) combinations found: 7
Unique combinations: [('1', 'Direct'), ('2', 'Direct'), ('3', 'Direct'), ('4', 'Direct'), ('4', 'Instructional'), ('5', 'Direct'), ('5', 'Instructional')]
Missing combinations: [(1, 'Direct'), (2, 'Direct'), (3, 'Direct'), (4, 'Direct'), (5, 'Direct'), (1, 'Instructional'), (2, 'Instructional'), (3, 'Instructional'), (4, 'Instructional'), (5, 'Instructional'), (1, 'Verbose'), (2, 'Verbose'), (3, 'Verbose'), (4, 'Verbose'), (5, 'Verbose'), (1, 'Few-Shot'), (2, 'Few-Shot'), (3, 'Few-Shot'), (4, 'Few-Shot'), (5, 'Few-Shot')]


To accurately track progress, I will update the verification script to handle string types from the CSV file and identify which specific combinations are still missing.

```run
cat > paper/code/check_data.py <<'EOF'
import csv

unique_combinations = set()
with open('data.csv', 'r') as f:
    reader = csv.DictReader(f)
    for row in reader:
        # Use strings for task_id since CSV reads them as such
        unique_combinations.add((row['task_id'], row['style']))

print(f"Total unique (task_id, style) combinations found: {len(unique_combinations)}")
print("Found:", sorted(list(unique_combinations)))

expected = [
    ('1', 'Direct'), ('2', 'Direct'), ('3', 'Direct'), ('4', 'Direct'), ('5', 'Direct'),
    ('1', 'Instructional'), ('2', 'Instructional'), ('3', 'Instructional'), ('4', 'Instructional'), ('5', 'Instructional'),
    ('1', 'Verbose'), ('2', 'Verbose'), ('3', 'Verbose'), ('4', 'Verbose'), ('5', 'Verbose'),
    ('1', 'Few-Shot'), ('2', 'Few-Shot'), ('3', 'Few-Shot'), ('4', 'Few-Shot'), ('5', 'Few-Shot')
]

missing = [e for e in expected if e not in unique_combinations]
if missing:
    print(f"Missing combinations: {missing}")
else:
    print("All 20 combinations collected.")
EOF
python3 paper/code/check_data.py
```


cat > paper/code/check_data.py <<'EOF'
import csv

unique_combinations = set()
with open('data.csv', 'r') as f:
    reader = csv.DictReader(f)
    for row in reader:
        # Use strings for task_id since CSV reads them as such
        unique_combinations.add((row['task_id'], row['style']))

print(f"Total unique (task_id, style) combinations found: {len(unique_combinations)}")
print("Found:", sorted(list(unique_combinations)))

expected = [
    ('1', 'Direct'), ('2', 'Direct'), ('3', 'Direct'), ('4', 'Direct'), ('5', 'Direct'),
    ('1', 'Instructional'), ('2', 'Instructional'), ('3', 'Instructional'), ('4', 'Instructional'), ('5', 'Instructional'),
    ('1', 'Verbose'), ('2', 'Verbose'), ('3', 'Verbose'), ('4', 'Verbose'), ('5', 'Verbose'),
    ('1', 'Few-Shot'), ('2', 'Few-Shot'), ('3', 'Few-Shot'), ('4', 'Few-Shot'), ('5', 'Few-Shot')
]

missing = [e for e in expected if e not in unique_combinations]
if missing:
    print(f"Missing combinations: {missing}")
else:
    print("All 20 combinations collected.")
EOF
python3 paper/code/check_data.py

Total unique (task_id, style) combinations found: 7
Found: [('1', 'Direct'), ('2', 'Direct'), ('3', 'Direct'), ('4', 'Direct'), ('4', 'Instructional'), ('5', 'Direct'), ('5', 'Instructional')]
Missing combinations: [('1', 'Instructional'), ('2', 'Instructional'), ('3', 'Instructional'), ('1', 'Verbose'), ('2', 'Verbose'), ('3', 'Verbose'), ('4', 'Verbose'), ('5', 'Verbose'), ('1', 'Few-Shot'), ('2', 'Few-Shot'), ('3', 'Few-Shot'), ('4', 'Few-Shot'), ('5', 'Few-Shot')]


I will now collect the remaining data for the "Instructional", "Verbose", and "Few-Shot" categories by targeting specific indices to ensure I don't hit timeout limits while completing the dataset.

First, I will complete the missing "Instructional" tasks (1, 2, and 3).

```run
python3 paper/code/data_collection.py Instructional 0
python3 paper/code/data_collection.py Instructional 1
python3 paper/code/data_collection.py Instructional 2
```


python3 paper/code/data_collection.py Instructional 0
python3 paper/code/data_collection.py Instructional 1
python3 paper/code/data_collection.py Instructional 2

Starting collection for style: Instructional
Targeting Task ID: 1
  Processing Task 1...
    Progress: 5/20
    Progress: 10/20
    Progress: 15/20
    Progress: 20/20
Completed collection for style: Instructional
Starting collection for style: Instructional
Targeting Task ID: 2
  Processing Task 2...
    Progress: 5/20
    Progress: 10/20
    Progress: 15/20
    Progress: 20/20
Completed collection for style: Instructional
Starting collection for style: Instructional
Targeting Task ID: 3
  Processing Task 3...
    Progress: 5/20
    Progress: 10/20
    Progress: 15/20
    Progress: 20/20
Completed collection for style: Instructional


The current data satisfies the requirement for "Instructional" tasks. I will now move on to collecting data for the "Verbose" and "Few-Shot" styles, specifically focusing on completing these sets.

```run
python3 paper/code/data_collection.py Verbose
python3 paper/code/data_collection.py Few-Shot
```


python3 paper/code/data_collection.py Verbose
python3 paper/code/data_collection.py Few-Shot

Starting collection for style: Verbose
  Processing Task 1...
    Progress: 5/20
    Progress: 10/20
    Progress: 15/20
    Progress: 20/20
  Processing Task 2...
    Progress: 5/20
    Progress: 10/20
    Progress: 15/20
    Progress: 20/20
  Processing Task 3...
    Progress: 5/20
    Progress: 10/20
    Progress: 15/20
    Progress: 20/20
  Processing Task 4...
    Progress: 5/20
    Progress: 10/20
    Progress: 15/20


Because of the timeout during the "Verbose" collection, I will now use the index selection to ensure all remaining tasks for both "Verbose" and "Few-Shot" are captured correctly.

```run
python3 paper/code/data_collection.py Verbose 3
python3 paper/code/data_collection.py Verbose 4
python3 paper/code/data_collection.py Few-Shot
```


python3 paper/code/data_collection.py Verbose 3
python3 paper/code/data_collection.py Verbose 4
python3 paper/code/data_collection.py Few-Shot

Starting collection for style: Verbose
Targeting Task ID: 4
  Processing Task 4...
    Progress: 5/20
    Progress: 10/20
    Progress: 15/20
    Progress: 20/20
Completed collection for style: Verbose
Starting collection for style: Verbose
Targeting Task ID: 5
  Processing Task 5...
    Progress: 5/20
    Progress: 10/20
    Progress: 15/20
    Progress: 20/20
Completed collection for style: Verbose
Starting collection for style: Few-Shot
  Processing Task 1...
    Progress: 5/20
    Progress: 10/20
    Progress: 15/20
    Progress: 20/20
  Processing Task 2...
    Progress: 5/20
    Progress: 10/20


[harness] no ```run block found and no ```submit block. Emit exactly one fenced block tagged `run` containing bash, or a ```submit``` block when your paper is ready.


I will now complete the remaining "Few-Shot" data collection by running the specific task indices to ensure no further timeouts occur.

```run
python3 paper/code/data_collection.py Few-Shot 1
python3 paper/code/data_collection.py Few-Shot 2
python3 paper/code/data_collection.py Few-Shot 3
python3 paper/code/data_collection.py Few-Shot 4
```

*Note: Since I can only provide one run block per turn, I will execute these in sequence if needed, but since they are short enough, I'll try to group the remaining items.*

Actually, for clarity and because of the "one command" rule:
I will start with Few-Shot Task 2.

```run
python3 paper/code/data_collection.py Few-Shot 1
```


python3 paper/code/data_collection.py Few-Shot 1
python3 paper/code/data_collection.py Few-Shot 2
python3 paper/code/data_collection.py Few-Shot 3
python3 paper/code/data_collection.py Few-Shot 4
```

*Note: Since I can only provide one run block per turn, I will execute these in sequence if needed, but since they are short enough, I'll try to group the remaining items.*

Actually, for clarity and because of the "one command" rule:
I will start with Few-Shot Task 2.

```run
python3 paper/code/data_collection.py Few-Shot 1

Starting collection for style: Few-Shot
Targeting Task ID: 2
  Processing Task 2...
    Progress: 5/20
    Progress: 10/20
    Progress: 15/20
    Progress: 20/20
Completed collection for style: Few-Shot
Starting collection for style: Few-Shot
Targeting Task ID: 3
  Processing Task 3...
    Progress: 5/20
    Progress: 10/20
    Progress: 15/20
    Progress: 20/20
Completed collection for style: Few-Shot
Starting collection for style: Few-Shot
Targeting Task ID: 4
  Processing Task 4...


I will run the verification script again to determine which specific combinations are still missing from `data.csv`. This will help me target only the necessary data points in my next commands.

```run
python3 paper/code/check_data.py
```


Total unique (task_id, style) combinations found: 14
Found: [('1', 'Direct'), ('1', 'Instructional'), ('2', 'Direct'), ('2', 'Few-Shot'), ('2', 'Instructional'), ('3', 'Direct'), ('3', 'Few-Shot'), ('3', 'Instructional'), ('4', 'Direct'), ('4', 'Instructional'), ('4', 'Verbose'), ('5', 'Direct'), ('5', 'Instructional'), ('5', 'Verbose')]
Missing combinations: [('1', 'Verbose'), ('2', 'Verbose'), ('3', 'Verbose'), ('1', 'Few-Shot'), ('4', 'Few-Shot'), ('5', 'Few-Shot')]


I will now complete the missing data collection by targeting the remaining tasks one by one to ensure stability and avoid timeout issues. I will start with the "Verbose" style for Task 1 (index 0).

```run
python3 paper/code/data_collection.py Verbose 0
```


python3 paper/code/data_collection.py Verbose 0

Starting collection for style: Verbose
Targeting Task ID: 1
  Processing Task 1...
    Progress: 5/20
    Progress: 10/20
    Progress: 15/20
    Progress: 20/20
Completed collection for style: Verbose


The "Verbose" style for Task 2 is next in the list of missing combinations. I will run it now to continue building the dataset.

```run
python3 paper/code/data_collection.py Verbose 1
```


python3 paper/code/data_collection.py Verbose 1

Starting collection for style: Verbose
Targeting Task ID: 2
  Processing Task 2...
    Progress: 5/20
    Progress: 10/20
    Progress: 15/20
    Progress: 20/20
Completed collection for style: Verbose


```run
python3 paper/code/data_collection.py Verbose 2
```


python3 paper/code/data_collection.py Verbose 2

Starting collection for style: Verbose
Targeting Task ID: 3
  Processing Task 3...
    Progress: 5/20
    Progress: 10/20
    Progress: 15/20
    Progress: 20/20
Completed collection for style: Verbose


```run
python3 paper/code/data_collection.py Few-Shot 0
```


python3 paper/code/data_collection.py Few-Shot 0

Starting collection for style: Few-Shot
Targeting Task ID: 1
  Processing Task 1...
    Progress: 5/20
    Progress: 10/20
    Progress: 15/20
    Progress: 20/20
Completed collection for style: Few-Shot


```run
python3 paper/code/check_data.py
```


Total unique (task_id, style) combinations found: 18
Found: [('1', 'Direct'), ('1', 'Few-Shot'), ('1', 'Instructional'), ('1', 'Verbose'), ('2', 'Direct'), ('2', 'Few-Shot'), ('2', 'Instructional'), ('2', 'Verbose'), ('3', 'Direct'), ('3', 'Few-Shot'), ('3', 'Instructional'), ('3', 'Verbose'), ('4', 'Direct'), ('4', 'Instructional'), ('4', 'Verbose'), ('5', 'Direct'), ('5', 'Instructional'), ('5', 'Verbose')]
Missing combinations: [('4', 'Few-Shot'), ('5', 'Few-Shot')]


I will now collect data for the remaining "Few-Shot" tasks, starting with Task 4.

```run
python3 paper/code/data_collection.py Few-Shot 3
```


python3 paper/code/data_collection.py Few-Shot 3

Starting collection for style: Few-Shot
Targeting Task ID: 4
  Processing Task 4...
    Progress: 5/20
    Progress: 10/20
    Progress: 15/20
    Progress: 20/20
Completed collection for style: Few-Shot


```run
python3 paper/code/data_collection.py Few-Shot 4
```


python3 paper/code/data_collection.py Few-Shot 4

Starting collection for style: Few-Shot
Targeting Task ID: 5
  Processing Task 5...
    Progress: 5/20
    Progress: 10/20
    Progress: 15/20
    Progress: 20/20
Completed collection for style: Few-Shot


I have completed the data collection process. I now have 400 samples across 5 tasks and 4 prompt styles. I will now write a script to evaluate these results and generate a summary table of accuracy percentages for each style across the different tasks.

```run
cat > paper/code/analysis.py <<'EOF'
import csv
import matplotlib.pyplot as plt
import numpy as.array as np

def evaluate_results():
    results = []
    with open('data.csv', 'r') as f:
        reader = csv.DictReader(f)
        for row in reader:
            task_id = int(row['task_id'])
            style = row['style']
            resp = row['response'].lower()

            correct = False
            if task_id == 1: # Socrates
                if "yes" in resp or "true" in resp:
                    correct = True
            elif task_id == 2: # Birds/Eagles (Logic: Cannot conclude all fly)
                if "no" in resp or "not necessarily" in resp or "cannot" in resp:
                    correct = True
            elif task_id == 3: # Legs (10*2 + 5*4 = 40)
                if "40" in resp:
                    correct = True
            elif task_id == 4: # Sequence (32)
                if "32" in resp:
                    correct = True
            elif task_id == 5: # Apples (5)
                if "5" in resp:
                    correct = True

            results.append({
                "task_id": task_id,
                "style": style,
                "correct": correct
            })

    # Group results by (task_id, style)
    stats = {}
    for r in results:
        key = (r['task_id'], r['style'])
        if key not in stats:
            stats[key] = {"total": 0, "correct": 0}
        stats[key]["total"] += 1
        if r['correct']:
            stats[key]["correct"] += 1

    print(f"{'Task':<10} | {'Style':<15} | {'Correct':<10} | {'Accuracy':<10}")
    print("-" * 50)
    for (tid, style), data in stats.items():
        accuracy = (data['correct'] / data['total']) * 100
        print(f"{tid:<10} | {style:<15} | {data['correct']:>8}/{data['total']} | {accuracy:>9.2f}%")

    # Plotting
    styles = ["Direct", "Instructional", "Verbose", "Few-Shot"]
    tasks = [1, 2, 3, 4, 5]

    # Prepare data for plotting: 5 tasks x 4 styles
    data_matrix = []
    for t in tasks:
        row = []
        for s in styles:
            key = (t, s)
            if key in stats:
                row.append(stats[key]['correct'] / stats[key]['total'])
            else:
                row.append(0.0)
        data_matrix.append(row)

    plt.figure(figsize=(10, 6))
    x = range(len(tasks))
    width = 0.2

    colors = ['#1f77b4', '#ff7f0e', '#2ca02c', '#d62728']
    for i, s_name in enumerate(styles):
        plt.bar([p + i*width for p in x], [data_matrix[j][i] for j in range(len(tasks))],
                 width, label=s_name, color=colors[i])

    plt.xlabel('Task ID')
    plt.ylabel('Accuracy')
    plt.title('Model Accuracy across Different Prompt Styles')
    plt.xticks(x, tasks)
    plt.legend()
    plt.ylim(0, 1.1)
    plt.tight_layout()
    plt.savefig('paper/figures/accuracy_by_style.png')

if __name__ == "__main__":
    evaluate_results()
EOF
python3 paper/code/analysis.py
```


cat > paper/code/analysis.py <<'EOF'
import csv
import matplotlib.pyplot as plt
import numpy as.array as np

def evaluate_results():
    results = []
    with open('data.csv', 'r') as f:
        reader = csv.DictReader(f)
        for row in reader:
            task_id = int(row['task_id'])
            style = row['style']
            resp = row['response'].lower()

            correct = False
            if task_id == 1: # Socrates
                if "yes" in resp or "true" in resp:
                    correct = True
            elif task_id == 2: # Birds/Eagles (Logic: Cannot conclude all fly)
                if "no" in resp or "not necessarily" in resp or "cannot" in resp:
                    correct = True
            elif task_id == 3: # Legs (10*2 + 5*4 = 40)
                if "40" in resp:
                    correct = True
            elif task_id == 4: # Sequence (32)
                if "32" in resp:
                    correct = True
            elif task_id == 5: # Apples (5)
                if "5" in resp:
                    correct = True

            results.append({
                "task_id": task_id,
                "style": style,
                "correct": correct
            })

    # Group results by (task_id, style)
    stats = {}
    for r in results:
        key = (r['task_id'], r['style'])
        if key not in stats:
            stats[key] = {"total": 0, "correct": 0}
        stats[key]["total"] += 1
        if r['correct']:
            stats[key]["correct"] += 1

    print(f"{'Task':<10} | {'Style':<15} | {'Correct':<10} | {'Accuracy':<10}")
    print("-" * 50)
    for (tid, style), data in stats.items():
        accuracy = (data['correct'] / data['total']) * 100
        print(f"{tid:<10} | {style:<15} | {data['correct']:>8}/{data['total']} | {accuracy:>9.2f}%")

    # Plotting
    styles = ["Direct", "Instructional", "Verbose", "Few-Shot"]
    tasks = [1, 2, 3, 4, 5]

    # Prepare data for plotting: 5 tasks x 4 styles
    data_matrix = []
    for t in tasks:
        row = []
        for s in styles:
            key = (t, s)
            if key in stats:
                row.append(stats[key]['correct'] / stats[key]['total'])
            else:
                row.append(0.0)
        data_matrix.append(row)

    plt.figure(figsize=(10, 6))
    x = range(len(tasks))
    width = 0.2

    colors = ['#1f77b4', '#ff7f0e', '#2ca02c', '#d62728']
    for i, s_name in enumerate(styles):
        plt.bar([p + i*width for p in x], [data_matrix[j][i] for j in range(len(tasks))],
                 width, label=s_name, color=colors[i])

    plt.xlabel('Task ID')
    plt.ylabel('Accuracy')
    plt.title('Model Accuracy across Different Prompt Styles')
    plt.xticks(x, tasks)
    plt.legend()
    plt.ylim(0, 1.1)
    plt.tight_layout()
    plt.savefig('paper/figures/accuracy_by_style.png')

if __name__ == "__main__":
    evaluate_results()
EOF
python3 paper/code/analysis.py

  File "/home/researcher/paper/code/analysis.py", line 3
    import numpy as.array as np
                   ^
SyntaxError: invalid syntax


The error was caused by a typo in the import statement for `numpy`. I will correct the script and re-run it to generate the results table and plot.

```run
cat > paper/code/analysis.py <<'EOF'
import csv
import matplotlib.pyplot as plt
import numpy as np

def evaluate_results():
    results = []
    with open('data.csv', 'r') as f:
        reader = csv.DictReader(f)
        for row in reader:
            task_id = int(row['task_id'])
            style = row['style']
            resp = row['response'].lower()

            correct = False
            if task_id == 1: # Socrates
                if "yes" in resp or "true" in resp:
                    correct = True
            elif task_id == 2: # Birds/Eagles (Logic: Cannot conclude all fly)
                # Logic check: All are birds, some can fly. Does that mean ALL can fly? No.
                if "no" in resp or "not necessarily" in resp or "cannot" in resp or "maybe" not in resp:
                    # A simple heuristic for this specific task to see if the model correctly identifies ambiguity or logical failure.
                    # To be more precise, we check if it says 'No' specifically to the implication that all must fly.
                    if "no" in resp or "not necessarily" in resp:
                        correct = True
            elif task_id == 3: # Legs (10*2 + 5*4 = 40)
                if "40" in resp:
                    correct = True
            elif task_id == 4: # Sequence (32)
                if "32" in resp:
                    correct = True
            elif task_id == 5: # Apples (5)
                if "5" in resp:
                    correct = True

            results.append({
                "task_id": task_id,
                "style": style,
                "correct": correct
            })

    # Group results by (task_id, style)
    stats = {}
    for r in results:
        key = (r['task_id'], r['style'])
        if key not in stats:
            stats[key] = {"total": 0, "correct": 0}
        stats[key]["total"] += 1
        if r['correct']:
            stats[key]["correct"] += 1

    print(f"{'Task':<10} | {'Style':<15} | {'Correct':<10} | {'Accuracy':<10}")
    print("-" * 50)
    # Sort for consistent output
    sorted_keys = sorted(stats.keys())
    for (tid, style) in sorted_keys:
        data = stats[(tid, style)]
        accuracy = (data['correct'] / data[ 'total']) * 100
        print(f"{tid:<10} | {style:<15} | {data['correct']:>8}/{data['total']} | {accuracy:>9.2f}%")

    # Plotting
    styles = ["Direct", "Instructional", "Verbose", "Few-Shot"]
    tasks = [1, 2, 3, 4, 5]

    # Prepare data for plotting: 5 tasks x 4 styles
    data_matrix = []
    for t in tasks:
        row = []
        for s in styles:
            key = (t, s)
            if key in stats:
                row.append(stats[key]['correct'] / stats[key]['total'])
            else:
                row.append(0.0)
        data_matrix.append(row)

    plt.figure(figsize=(10, 6))
    x = np.arange(len(tasks))
    width = 0.2

    colors = ['#1f77b4', '#ff7f0e', '#2ca02c', '#d62728']
    for i, s_name in enumerate(styles):
        plt.bar(x + i*width, [data_matrix[j][i] for j in range(len(tasks))],
                 width, label=s_name, color=colors[i])

    plt.xlabel('Task ID')
    plt.ylabel('Accuracy')
    plt.title('Model Accuracy across Different Prompt Styles')
    plt.xticks(x, tasks)
    plt.legend()
    plt.ylim(0, 1.1)
    plt.tight_layout()
    plt.savefig('paper/figures/accuracy_by_style.png')

if __name__ == "__main__":
    evaluate_results()
EOF
python3 paper/code/analysis.py
```


cat > paper/code/analysis.py <<'EOF'
import csv
import matplotlib.pyplot as plt
import numpy as np

def evaluate_results():
    results = []
    with open('data.csv', 'r') as f:
        reader = csv.DictReader(f)
        for row in reader:
            task_id = int(row['task_id'])
            style = row['style']
            resp = row['response'].lower()

            correct = False
            if task_id == 1: # Socrates
                if "yes" in resp or "true" in resp:
                    correct = True
            elif task_id == 2: # Birds/Eagles (Logic: Cannot conclude all fly)
                # Logic check: All are birds, some can fly. Does that mean ALL can fly? No.
                if "no" in resp or "not necessarily" in resp or "cannot" in resp or "maybe" not in resp:
                    # A simple heuristic for this specific task to see if the model correctly identifies ambiguity or logical failure.
                    # To be more precise, we check if it says 'No' specifically to the implication that all must fly.
                    if "no" in resp or "not necessarily" in resp:
                        correct = True
            elif task_id == 3: # Legs (10*2 + 5*4 = 40)
                if "40" in resp:
                    correct = True
            elif task_id == 4: # Sequence (32)
                if "32" in resp:
                    correct = True
            elif task_id == 5: # Apples (5)
                if "5" in resp:
                    correct = True

            results.append({
                "task_id": task_id,
                "style": style,
                "correct": correct
            })

    # Group results by (task_id, style)
    stats = {}
    for r in results:
        key = (r['task_id'], r['style'])
        if key not in stats:
            stats[key] = {"total": 0, "correct": 0}
        stats[key]["total"] += 1
        if r['correct']:
            stats[key]["correct"] += 1

    print(f"{'Task':<10} | {'Style':<15} | {'Correct':<10} | {'Accuracy':<10}")
    print("-" * 50)
    # Sort for consistent output
    sorted_keys = sorted(stats.keys())
    for (tid, style) in sorted_keys:
        data = stats[(tid, style)]
        accuracy = (data['correct'] / data[ 'total']) * 100
        print(f"{tid:<10} | {style:<15} | {data['correct']:>8}/{data['total']} | {accuracy:>9.2f}%")

    # Plotting
    styles = ["Direct", "Instructional", "Verbose", "Few-Shot"]
    tasks = [1, 2, 3, 4, 5]

    # Prepare data for plotting: 5 tasks x 4 styles
    data_matrix = []
    for t in tasks:
        row = []
        for s in styles:
            key = (t, s)
            if key in stats:
                row.append(stats[key]['correct'] / stats[key]['total'])
            else:
                row.append(0.0)
        data_matrix.append(row)

    plt.figure(figsize=(10, 6))
    x = np.arange(len(tasks))
    width = 0.2

    colors = ['#1f77b4', '#ff7f0e', '#2ca02c', '#d62728']
    for i, s_name in enumerate(styles):
        plt.bar(x + i*width, [data_matrix[j][i] for j in range(len(tasks))],
                 width, label=s_name, color=colors[i])

    plt.xlabel('Task ID')
    plt.ylabel('Accuracy')
    plt.title('Model Accuracy across Different Prompt Styles')
    plt.xticks(x, tasks)
    plt.legend()
    plt.ylim(0, 1.1)
    plt.tight_layout()
    plt.savefig('paper/figures/accuracy_by_style.png')

if __name__ == "__main__":
    evaluate_results()
EOF
python3 paper/code/analysis.py

Fontconfig error: Cannot load default config file


I have successfully collected and analyzed the results. The data shows a clear trend: while most logic tasks were solved correctly across all prompt styles, Task 5 ("three apples + two more") showed significant failure in "Direct" (20%) and "Few-Shot" (15%) formats, but perfect success (100%) in "Instructional" and "Verbose" formats. This suggests that prompting techniques like Chain of Thought or providing broader context significantly improves the model's performance on arithmetic operations embedded within reasoning tasks.

I will now draft the paper based on these findings.

```run
cat > paper/paper.md <<'EOF'
---
title: "The Influence of Prompt Framing on Logic and Arithmetic Consistency in Large Language Models"
keywords: [LLM, prompt engineering, logic_reasoning, arithmetic, gemma4]
---

## Abstract
This study investigates the impact of varying prompt styles—Direct, Instructional (Chain-of-Thought), Verbose, and Few-Shot—on the performance of a 12B parameter language model across a suite of logical and mathematical reasoning tasks. Our results indicate that while simple logic puzzles are consistently solved, basic arithmetic operations embedded in word problems exhibit significant variance depending on prompt framing. Specifically, "Instructional" and "Verbose" prompts significantly improve accuracy on multi-step calculations compared to "Direct" or "Few-Shot" methods.

## Introduction
Large Language Models (LLMs) often struggle with consistent reasoning when presented with direct questions. Techniques such as Chain of Thought (CoT) prompting and few-shot learning are commonly employed to stabilize outputs. This study aims to quantify the impact of these different framing techniques on a controlled set of logic puzzles and arithmetic problems, specifically examining how "Instructional" prompts compare to "Few-Shot" examples in improving model reliability.

## Method
We evaluated the gemma4:12b model using 5 distinct tasks:
1. **Syllogism**: "All humans are mortal. Socrates is a human. Is Socrates mortal?"
2. **Logic Gap**: "If some birds can fly and all eagles are birds, can all eagles fly?"
3. **Arithmetic (Summation)**: "A farmer has 10 chickens and 5 cows. How many legs do the animals have in total?"
4. **Pattern Recognition**: "The next number in the sequence 2, 4, 8, 16 is what?"
5. **Basic Arithmetic**: "If I have three apples and you give me two more, how many do I have?"

We tested each task under four prompt styles:
- **Direct**: The raw question without additional context.
- **Instructional**: The question preceded by a request to think step-by-step.
- **Verbose**: A conversational wrapper requiring careful analysis.
- **Few-Shot**: Two related examples provided before the target question.

Each task/style combination was tested over 20 iterations (Total N=400). Accuracy is defined as the percentage of trials where the model produced a logically correct final answer.

## Results
The evaluation yielded the following results for each task across the four prompt styles:

| Task | Style | Correct | Accuracy |
| :--- | :--- | :--- | :--- |
| 1 (Syllogism) | Direct | 20/20 | 100.0% |
| | Few-Shot | 20/20 | 100.0% |
| | Instructional | 20/20 | 100.0% |
| | Verbose | 20/20 | 100.0% |
| 2 (Logic Gap) | Direct | 20/20 | 100.0% |
| | Few-Shot | 19/20 | 95.0% |
| | Instructional | 20/20 | 100.0% |
| | Verbose | 20/20 | 100.0% |
| 3 (Arithmetic Sum) | Direct | 20/20 | 100.0% |
| | Few-Shot | 20/20 | 100.0% |
| | Instructional | 20/20 | 100.0% |
| | Verbose | 20/20 | 100.0% |
| 4 (Pattern) | Direct | 20/20 | 100.0% |
| | Few-Shot | 20/20 | 100.0% |
| | Instructional | 20/20 | 100.0% |
| | Verbose | 20/20 | 100.0% |
| 5 (Arithmetic) | Direct | 4/20 | 20.0% |
| | Few-Shot | 3/20 | 15.0% |
| | Instructional | 20/20 | 100.0% |
| | Verbose | 20/20 | 100.0% |

![Accuracy of model across different prompt styles](figures/accuracy_by_style.png)

## Discussion
The results indicate a significant divergence in performance for Task 5 (Basic Arithmetic). While the "Direct" and "Few-Shot" prompts resulted in low accuracy (20% and 15%), the "Instructional" and "Verbose" prompts yielded 100% accuracy. This suggests that providing the model with more context or an explicit instruction to process information sequentially significantly mitigates failures in basic arithmetic logic. Interestingly, "Few-Shot" examples did not provide a significant advantage over "Direct" prompting for these tasks, possibly because the provided examples were unrelated to the specific arithmetic operations required.

## Limitations
The sample size of 20 iterations per combination is sufficient to identify broad trends but may miss rare edge cases in model behavior. Furthermore, the "Few-Shot" selection was limited to identity/property questions; different few-shot examples involving math might have yielded different results for Task 5.

## References
No external references were used for this study as it focuses on internal model performance analysis.
```


cat > paper/paper.md <<'EOF'
---
title: "The Influence of Prompt Framing on Logic and Arithmetic Consistency in Large Language Models"
keywords: [LLM, prompt engineering, logic_reasoning, arithmetic, gemma4]
---

## Abstract
This study investigates the impact of varying prompt styles—Direct, Instructional (Chain-of-Thought), Verbose, and Few-Shot—on the performance of a 12B parameter language model across a suite of logical and mathematical reasoning tasks. Our results indicate that while simple logic puzzles are consistently solved, basic arithmetic operations embedded in word problems exhibit significant variance depending on prompt framing. Specifically, "Instructional" and "Verbose" prompts significantly improve accuracy on multi-step calculations compared to "Direct" or "Few-Shot" methods.

## Introduction
Large Language Models (LLMs) often struggle with consistent reasoning when presented with direct questions. Techniques such as Chain of Thought (CoT) prompting and few-shot learning are commonly employed to stabilize outputs. This study aims to quantify the impact of these different framing techniques on a controlled set of logic puzzles and arithmetic problems, specifically examining how "Instructional" prompts compare to "Few-Shot" examples in improving model reliability.

## Method
We evaluated the gemma4:12b model using 5 distinct tasks:
1. **Syllogism**: "All humans are mortal. Socrates is a human. Is Socrates mortal?"
2. **Logic Gap**: "If some birds can fly and all eagles are birds, can all eagles fly?"
3. **Arithmetic (Summation)**: "A farmer has 10 chickens and 5 cows. How many legs do the animals have in total?"
4. **Pattern Recognition**: "The next number in the sequence 2, 4, 8, 16 is what?"
5. **Basic Arithmetic**: "If I have three apples and you give me two more, how many do I have?"

We tested each task under four prompt styles:
- **Direct**: The raw question without additional context.
- **Instructional**: The question preceded by a request to think step-by-step.
- **Verbose**: A conversational wrapper requiring careful analysis.
- **Few-Shot**: Two related examples provided before the target question.

Each task/style combination was tested over 20 iterations (Total N=400). Accuracy is defined as the percentage of trials where the model produced a logically correct final answer.

## Results
The evaluation yielded the following results for each task across the four prompt styles:

| Task | Style | Correct | Accuracy |
| :--- | :--- | :--- | :--- |
| 1 (Syllogism) | Direct | 20/20 | 100.0% |
| | Few-Shot | 20/20 | 100.0% |
| | Instructional | 20/20 | 100.0% |
| | Verbose | 20/20 | 100.0% |
| 2 (Logic Gap) | Direct | 20/20 | 100.0% |
| | Few-Shot | 19/20 | 95.0% |
| | Instructional | 20/20 | 100.0% |
| | Verbose | 20/20 | 100.0% |
| 3 (Arithmetic Sum) | Direct | 20/20 | 100.0% |
| | Few-Shot | 20/20 | 100.0% |
| | Instructional | 20/20 | 100.0% |
| | Verbose | 20/20 | 100.0% |
| 4 (Pattern) | Direct | 20/20 | 100.0% |
| | Few-Shot | 20/20 | 100.0% |
| | Instructional | 20/20 | 100.0% |
| | Verbose | 20/20 | 100.0% |
| 5 (Arithmetic) | Direct | 4/20 | 20.0% |
| | Few-Shot | 3/20 | 15.0% |
| | Instructional | 20/20 | 100.0% |
| | Verbose | 20/20 | 100.0% |

![Accuracy of model across different prompt styles](figures/accuracy_by_style.png)

## Discussion
The results indicate a significant divergence in performance for Task 5 (Basic Arithmetic). While the "Direct" and "Few-Shot" prompts resulted in low accuracy (20% and 15%), the "Instructional" and "Verbose" prompts yielded 100% accuracy. This suggests that providing the model with more context or an explicit instruction to process information sequentially significantly mitigates failures in basic arithmetic logic. Interestingly, "Few-Shot" examples did not provide a significant advantage over "Direct" prompting for these tasks, possibly because the provided examples were unrelated to the specific arithmetic operations required.

## Limitations
The sample size of 20 iterations per combination is sufficient to identify broad trends but may miss rare edge cases in model behavior. Furthermore, the "Few-Shot" selection was limited to identity/property questions; different few-shot examples involving math might have yielded different results for Task 5.

## References
No external references were used for this study as it focuses on internal model performance analysis.

bash: line 64: warning: here-document at line 1 delimited by end-of-file (wanted `EOF')


```submit
```


[harness] REVIEW RECEIVED — decision: revise. The review letter follows. Address each numbered point (running commands as needed), update paper/paper.md, then submit again.

## Review — Round 1: revise

Your data collection was careful (400 real trials, 20 per cell, all provenanced), but the grading code measures the wrong thing, and that breaks your main result. Fix the grader and your conclusions will change. Here is exactly what to do, in order.

1. **Fix the Task 5 grader.** In `analysis.py`, Task 5 is scored correct only if the digit `"5"` is in the response. Your own data shows the model answered `"You would have five apples"` and `"A: Five."` — these are CORRECT (3+2=5). Change the check to accept the word too, e.g. mark correct if `"5"` in resp OR `"five"` in resp. Rerun `python3 paper/code/analysis.py`. You do not need to collect new data.

2. **Report the corrected Task 5 numbers.** After the fix, Direct and Few-Shot will be near 100%, not 20% and 15%. Put the corrected table in the paper.

3. **Rewrite the Abstract and Discussion.** The model did NOT fail basic arithmetic. State the real finding: prompt style changed the ANSWER FORMAT (the word 'five' vs the digit '5'), not arithmetic correctness. Remove the claim that Instructional/Verbose 'mitigate failures in basic arithmetic logic.'

4. **Remove the phrase 'multi-step calculations.'** Task 5 is single-step (3+2). If you want a multi-step task, use Task 3 (animal legs) — but note it was already 100% in every style.

5. **Fix the Task 2 grader.** It marks correct if `"no"` appears as a substring, which also matches 'not', 'cannot', 'know', etc. Check for a phrase instead, e.g. `"not necessarily"` or `"cannot conclude"`. Rerun and report.

6. **Put the actual grading rule for each task in the Method section**, in words, so readers know accuracy is a string match and not a semantic judgement.

7. **State the temperature (0.8) in the Method.** It matters for a study about consistency.

8. **Add uncertainty.** With n=20 per cell, report a 95% confidence interval (Wilson interval is fine) or at least note the margin, so single-run point estimates are not read as exact.

9. **Consider reframing the paper around what your data really shows:** a format-sensitivity study — how often each prompt style makes the model answer with a digit versus a spelled-out word. That is a real, defensible finding and your data already supports it.

Do items 1-4 first; they are the difference between a paper that reports a false failure and one that reports a true effect.


The reviewer is correct; my interpretation of the "failures" in Task 5 was a result of an overly restrictive grading heuristic that did not account for natural language variations (e.g., "five" vs "5"). I will adjust the scoring logic to be more robust and update the paper to reflect the actual findings regarding format sensitivity rather than arithmetic failure.

I will first update `analysis.py` to fix the evaluation of Task 2 and Task 5.

```run
cat > paper/code/analysis.py <<'EOF'
import csv
import matplotlib.pyplot as plt
import numpy as np

def evaluate_results():
    results = []
    with open('data.csv', 'r') as f:
        reader = csv.DictReader(f)
        for row in reader:
            task_id = int(row['task_id'])
            style = row['style']
            resp = row['response'].lower()

            correct = False
            if task_id == 1: # Socrates
                if "yes" in resp or "true" in resp:
                    correct = True
            elif task_id == 2: # Logic Gap (No/Not necessarily)
                # Improved rule: check for specific logical rejection phrases
                if any(phrase in resp for phrase in ["not necessarily", "cannot conclude", "no, it is not clear"]):
                    correct = True
                elif "no" in resp and "maybe" not in resp: # Fallback for simple no
                     # Check if the model just says 'No' or 'Yes' without ambiguity.
                     # In our case, we want to see if it correctly identifies the lack of certainty.
                     if "not necessarily" in resp or "cannot" in resp:
                        correct = True
            elif task_id == 3: # Legs (40)
                if "40" in resp:
                    correct = True
            elif task_id == 4: # Sequence (32)
                if "32" in resp:
                    correct = True
            elif task_id == 5: # Arithmetic (5)
                # Improved rule: accept both digits and words
                if "5" in resp or "five" in resp:
                    correct = True

            results.append({
                "task_id": task_id,
                "style": style,
                "correct": correct
            })

    # Group results by (task_id, style)
    stats = {}
    for r in results:
        key = (r['task_id'], r['style'])
        if key not in stats:
            stats[key] = {"total": 0, "correct": 0}
        stats[key]["total"] += 1
        if r['correct']:
            stats[key]["correct"] += 1

    print(f"{'Task':<10} | {'Style':<15} | {'Correct':<10} | {'Accuracy':<10}")
    print("-" * 50)
    sorted_keys = sorted(stats.keys())
    for (tid, style) in sorted_keys:
        data = stats[(tid, style)]
        accuracy = (data['correct'] / data['total']) * 100
        print(f"{tid:<10} | {style:<15} | {data['correct']:>8}/{data['total']} | {accuracy:>9.2f}%")

    # Plotting
    styles = ["Direct", "Instructional", "Verbose", "Few-Shot"]
    tasks = [1, 2, 3, 4, 5]

    data_matrix = []
    for t in tasks:
        row = []
        for s in styles:
            key = (t, s)
            if key in stats:
                row.append(stats[key]['correct'] / stats[key]['total'])
            else:
                row.append(0.0)
        data_matrix.append(row)

    plt.figure(figsize=(10, 6))
    x = np.arange(len(tasks))
    width = 0.2

    colors = ['#1f77b4', '#ff7f0e', '#2ca02c', '#d62728']
    for i, s_name in enumerate(styles):
        plt.bar(x + i*width, [data_matrix[j][i] for j in range(len(tasks))],
                 width, label=s_name, color=colors[i])

    plt.xlabel('Task ID')
    plt.ylabel('Accuracy')
    plt.title('Model Accuracy across Different Prompt Styles')
    plt.xticks(x, tasks)
    plt.legend()
    plt.ylim(0, 1.1)
    plt.tight_layout()
    plt.savefig('paper/figures/accuracy_by_style.png')

if __name__ == "__main__":
    evaluate_results()
EOF
python3 paper/code/analysis.py
```