Sure, here's a DECLARE model for the given process variants:

```python
declare_model = {
    'existence': {
        'Create Fine': {'support': 1.0, 'confidence': 1.0},
        'Send Fine': {'support': 1.0, 'confidence': 1.0},
        'Insert Fine Notification': {'support': 1.0, 'confidence': 1.0},
        'Add penalty': {'support': 1.0, 'confidence': 1.0},
        'Payment': {'support': 1.0, 'confidence': 1.0},
        'Insert Date Appeal to Prefecture': {'support': 1.0, 'confidence': 1.0},
        'Send Appeal to Prefecture': {'support': 1.0, 'confidence': 1.0},
        'Send for Credit Collection': {'support': 1.0, 'confidence': 1.0},
        'Appeal to Judge': {'support': 1.0, 'confidence': 1.0},
        'Receive Result Appeal from Prefecture': {'support': 1.0, 'confidence': 1.0},
        'Notify Result Appeal to Offender': {'support': 1.0, 'confidence': 1.0}
    },
    'absence': {
        # No activities have absence constraint
    },
    'exactly_one': {
        # No activities have exactly_one constraint
    },
    'init': {
        'Create Fine': {'support': 1.0, 'confidence': 1.0}
    },
    'responded_existence': {
        ('Create Fine', 'Send Fine'): {'support': 1.0, 'confidence': 1.0},
        ('Create Fine', 'Payment'): {'support': 1.0, 'confidence': 1.0},
        ('Create Fine', 'Insert Fine Notification'): {'support': 1.0, 'confidence': 1.0},
        ('Payment', 'Send Fine'): {'support': 1.0, 'confidence': 1.0},
        ('Send Fine', 'Insert Fine Notification'): {'support': 1.0, 'confidence': 1.0},
        ('Insert Fine Notification', 'Add penalty'): {'support': 1.0, 'confidence': 1.0},
        ('Add penalty', 'Payment'): {'support': 1.