"""Create reasoning_engine
Generated by Phi-Octopus Eden
2025-11-07 13:15:24.771728
"""

```python
from typing import List, Dict


class ReasoningEngine:
    """
    A basic reasoning engine capable of solving simple problems involving logical deduction.
    """

    def __init__(self):
        self.knowledge_base: Dict[str, bool] = {}

    def add_fact(self, fact: str, value: bool) -> None:
        """
        Adds a fact to the knowledge base.

        :param fact: The statement to be added as a fact.
        :param value: The truth value of the fact (True or False).
        """
        self.knowledge_base[fact] = value

    def derive_conclusion(self, conclusion: str) -> bool:
        """
        Derives whether a given conclusion can be logically inferred from the knowledge base.

        :param conclusion: The statement to be derived.
        :return: True if the conclusion is derivable from facts in the knowledge base; False otherwise.
        """
        return conclusion in self.knowledge_base and self.knowledge_base[conclusion]

    def solve_problem(self, problem_statements: List[str]) -> bool:
        """
        Solves a logical reasoning problem by adding each statement as a fact and deriving conclusions.

        :param problem_statements: A list of statements to be added as facts.
        :return: True if all the derived conclusions are logically consistent with the knowledge base; False otherwise.
        """
        for statement in problem_statements:
            self.add_fact(statement, True)
        
        # Example problem: "A implies B and C" where A is true
        if "A" in self.knowledge_base and not self.knowledge_base["B"] or not self.knowledge_base["C"]:
            return False
        
        return True


# Example usage:
reasoning_engine = ReasoningEngine()
reasoning_engine.add_fact("A", True)
reasoning_engine.add_fact("B", False)

print(reasoning_engine.derive_conclusion("B"))  # Output: False

problem_statements = ["A", "B implies C"]
result = reasoning_engine.solve_problem(problem_statements)
print(result)  # Output: True or False based on the logical consistency of statements
```