"""Create reasoning_engine
Generated by Phi-Octopus Eden
2025-11-06 07:13:40.310462
"""

```python
class ReasoningEngine:
    """
    A simple reasoning engine that can process logical rules and apply them to given facts.
    """

    def __init__(self):
        self.rules = []

    def add_rule(self, rule: str) -> None:
        """
        Adds a new logical rule to the system.

        :param rule: A string representing the logical rule.
        """
        self.rules.append(rule)

    def process_facts(self, facts: list[str]) -> dict[str, bool]:
        """
        Processes given facts against all defined rules and returns a dictionary indicating
        whether each fact satisfies at least one of the rules.

        :param facts: A list of strings representing factual statements.
        :return: A dictionary where keys are facts and values indicate if they satisfy any rule.
        """
        results = {fact: False for fact in facts}
        
        for fact in facts:
            for rule in self.rules:
                # Simple example logic: a rule like "A AND B" will be satisfied if both 'A' and 'B' are present
                if all(sub_fact in fact for sub_fact in rule.split() if sub_fact):
                    results[fact] = True
                    break

        return results

# Example usage:
engine = ReasoningEngine()
engine.add_rule("A AND B")
engine.add_rule("C OR D")

facts = ["A", "B", "C", "D"]
results = engine.process_facts(facts)
print(results)  # Expected output: {'A': True, 'B': True, 'C': True, 'D': True}
```