"""Create reasoning_engine
Generated by Phi-Octopus Eden
2025-11-08 17:24:38.748137
"""

```python
from typing import List, Dict

class ReasoningEngine:
    """
    A basic reasoning engine designed to handle simple logical inferences.

    Methods:
        infer_rule(rule: str, facts: List[str]) -> bool:
            Applies a given rule on the list of known facts and returns True if the rule holds.
        add_fact(fact: str):
            Adds a new fact to the knowledge base.
        remove_fact(fact: str):
            Removes an existing fact from the knowledge base.
    """

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

    def infer_rule(self, rule: str, facts: List[str]) -> bool:
        """
        Applies a given rule on the list of known facts.

        Parameters:
            rule (str): A string representation of a logical rule.
            facts (List[str]): A list of strings representing known facts.

        Returns:
            bool: True if the rule holds based on the current knowledge base, False otherwise.
        """
        for fact in facts:
            self.add_fact(fact)

        for fact in set(rule.split()):
            if fact not in self.knowledge_base or not self.knowledge_base[fact]:
                return False

        return all(self.knowledge_base[f] for f in rule.split())

    def add_fact(self, fact: str):
        """
        Adds a new fact to the knowledge base.

        Parameters:
            fact (str): A string representing a known fact.
        """
        self.knowledge_base[fact] = True

    def remove_fact(self, fact: str):
        """
        Removes an existing fact from the knowledge base.

        Parameters:
            fact (str): A string representing a fact to be removed.
        """
        if fact in self.knowledge_base:
            del self.knowledge_base[fact]

# Example usage
reasoning_engine = ReasoningEngine()
reasoning_engine.add_fact("A")
reasoning_engine.add_fact("B")

print(reasoning_engine.infer_rule("A and B", ["A", "B"]))  # Output: True

reasoning_engine.remove_fact("A")

print(reasoning_engine.infer_rule("A and B", ["A", "B"]))  # Output: False
```