"""Create fact_checker
Generated by Phi-Octopus Eden
2025-11-08 07:16:34.084711
"""

```python
from typing import List, Dict, Any
from collections import defaultdict

class FactChecker:
    """
    A simple fact checking class that can evaluate statements based on a given database of facts.
    
    Attributes:
        db (Dict[str, bool]): A dictionary containing facts as keys and their truth values as boolean.
        
    Methods:
        __init__(self, db: Dict[str, bool])
            Initializes the FactChecker with a database of facts.
            
        check_statement(self, statement: str) -> bool
            Evaluates whether a given statement is true based on the fact database.
            
        evaluate_complex_statement(self, complex_statement: str) -> bool
            Evaluates more complex statements that may involve multiple facts and logical operators.
    """
    
    def __init__(self, db: Dict[str, bool]):
        self.db = db
    
    def check_statement(self, statement: str) -> bool:
        # Example simplistic fact checking without complex logic
        return self.db.get(statement.lower(), False)
    
    def evaluate_complex_statement(self, complex_statement: str) -> bool:
        """
        Evaluates a complex statement involving multiple facts and logical operators.
        
        The statement should use 'and', 'or' to combine simple statements. Facts can be any key in the database.
        
        Example usage: "fact1 and not fact3 or fact2"
        """
        try:
            # Simulating splitting of the complex statement for processing
            parts = [part.strip() for part in complex_statement.replace('and', '&').replace('or', '|').split()]
            
            def parse_part(part):
                if 'not' in part:
                    return not self.check_statement(part.replace('not ', '').strip())
                else:
                    return self.check_statement(part)
            
            # Evaluate the parts and combine them based on logical operators
            value = parse_part(parts[0])
            for i in range(1, len(parts), 2):
                operator = parts[i]
                next_value = parse_part(parts[i+1])
                if operator == '&':
                    value &= next_value
                elif operator == '|':
                    value |= next_value
        except KeyError as e:
            return f"Unknown fact: {e.args[0]}"
        return value

# Example usage
if __name__ == "__main__":
    db = {"fact1": True, "fact2": False, "fact3": True}
    fc = FactChecker(db)
    
    print(fc.check_statement("fact1"))  # Expected output: True
    print(fc.evaluate_complex_statement("fact1 and not fact3 or fact2"))  # Expected output: False
```