## Step 1: Define the symbolic representation of the variables
The variables are 'deployed decoys', 'SOC operators', and 'honeypots', which can be represented symbolically as $x_0$, $x_1$, and $x_2$ respectively.

## Step 2: Convert the natural language description into a symbolic representation
The objective function to minimize is $9.54x_0 + 1.59x_1 + 8.77x_2$.

## Step 3: List the constraints in symbolic notation
The constraints are:
- $7x_0 = 7$ (data integrity impact of deployed decoys)
- $5x_0 \geq 0$ (power consumption of deployed decoys, but this seems to be always true given $x_0$ is non-negative)
- $1x_1 \geq 0$ (data integrity impact of SOC operators, always true)
- $3x_1 \geq 0$ (power consumption of SOC operators, always true)
- $11x_2 \geq 0$ (data integrity impact of honeypots, always true)
- $5x_2 \geq 0$ (power consumption of honeypots, always true)
- $1x_1 + 11x_2 \geq 12$ (total combined data integrity impact from SOC operators plus honeypots)
- $7x_0 + 1x_1 \geq 24$ (total combined data integrity impact from deployed decoys plus SOC operators)
- $7x_0 + 1x_1 + 11x_2 \geq 24$ (total combined data integrity impact from all)
- $3x_1 + 5x_2 \geq 25$ (power consumption of SOC operators plus honeypots)
- $5x_0 + 3x_1 \geq 20$ (power consumption of deployed decoys and SOC operators)
- $5x_0 + 3x_1 + 5x_2 \geq 20$ (power consumption of all)
- $9x_0 - 8x_2 \geq 0$ (specific constraint)
- $5x_1 - 2x_2 \geq 0$ (specific constraint)
- $7x_0 + 1x_1 \leq 96$ (data integrity impact constraint)
- $1x_1 + 11x_2 \leq 38$ (data integrity impact constraint)
- $7x_0 + 11x_2 \leq 81$ (data integrity impact constraint)

## 4: Correct and refine constraints for accurate modeling
Correcting and refining:
- The constraint $7x_0 = 7$ implies $x_0 = 1$.
- Other constraints should be directly used as given.

## 5: Formulate the problem in Gurobi
Given the complexity and the specific request for format, let's directly formulate the Gurobi code.

## 6: Write the Gurobi code
```python
import gurobi

def solve_optimization_problem():
    # Create a new model
    model = gurobi.Model()

    # Define variables
    x0 = model.addVar(name="deployed_decoys", vtype=gurobi.GRB.INTEGER)  # deployed decoys
    x1 = model.addVar(name="SOC_operators", vtype=gurobi.GRB.INTEGER)  # SOC operators
    x2 = model.addVar(name="honeypots", vtype=gurobi.GRB.INTEGER)    # honeypots

    # Objective function
    model.setObjective(9.54 * x0 + 1.59 * x1 + 8.77 * x2, gurobi.GRB.MINIMIZE)

    # Constraints
    model.addConstr(x0 == 1)  # data integrity impact of deployed decoys is 7
    model.addConstr(x1 + 11 * x2 >= 12)  # total combined data integrity impact from SOC operators plus honeypots
    model.addConstr(7 * x0 + x1 >= 24)  # total combined data integrity impact from deployed decoys plus SOC operators
    model.addConstr(7 * x0 + x1 + 11 * x2 >= 24)  # total combined data integrity impact from all
    model.addConstr(3 * x1 + 5 * x2 >= 25)  # power consumption of SOC operators plus honeypots
    model.addConstr(5 * x0 + 3 * x1 >= 20)  # power consumption of deployed decoys and SOC operators
    model.addConstr(5 * x0 + 3 * x1 + 5 * x2 >= 20)  # power consumption of all
    model.addConstr(9 * x0 - 8 * x2 >= 0)  # specific constraint
    model.addConstr(5 * x1 - 2 * x2 >= 0)  # specific constraint
    model.addConstr(7 * x0 + x1 <= 96)  # data integrity impact constraint
    model.addConstr(x1 + 11 * x2 <= 38)  # data integrity impact constraint
    model.addConstr(7 * x0 + 11 * x2 <= 81)  # data integrity impact constraint

    # Optimize
    model.optimize()

    # Print solution
    if model.status == gurobi.GRB.OPTIMAL:
        print("Objective: ", model.objVal)
        print("Deployed decoys: ", x0.varValue)
        print("SOC operators: ", x1.varValue)
        print("Honeypots: ", x2.varValue)
    else:
        print("No optimal solution found")

solve_optimization_problem()
```

## 7: Symbolic Representation
```json
{
    'sym_variables': [('x0', 'deployed decoys'), ('x1', 'SOC operators'), ('x2', 'honeypots')],
    'objective_function': '9.54x0 + 1.59x1 + 8.77x2',
    'constraints': [
        'x0 = 1',
        'x1 + 11x2 >= 12',
        '7x0 + x1 >= 24',
        '7x0 + x1 + 11x2 >= 24',
        '3x1 + 5x2 >= 25',
        '5x0 + 3x1 >= 20',
        '5x0 + 3x1 + 5x2 >= 20',
        '9x0 - 8x2 >= 0',
        '5x1 - 2x2 >= 0',
        '7x0 + x1 <= 96',
        'x1 + 11x2 <= 38',
        '7x0 + 11x2 <= 81'
    ]
}
```