Based on the provided process variants, we can infer several constraints for the DECLARE model. This inference process involves analyzing the sequence and occurrence of activities across all variants to determine which DECLARE constraints they satisfy. For brevity, I will outline a model that captures the recurring patterns and constraints visible from the process variants. The constraints such as `Existence`, `Succession`, `Response`, `Precedence`, and potentially `Exclusive Choice` or `Non Co-Existence` could be inferred based on activities that frequently occur together and their ordering.

Here's a simplified model capturing fundamental constraints from the 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},
    },
    'succession': {
        ('Create Fine', '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},
    },
    'response': {
        ('Add penalty', 'Payment'): {'support': 1.0, 'confidence': 1.0},
    },
    'precedence': {
        ('Payment', 'Create Fine'): {'support': 1.0, 'confidence': 1.0},
    },
    'init': {
        'Create Fine': {'support': 1.0, 'confidence': 1.0},
    },
    'responded_existence': {
        ('Create Fine', 'Send Fine'): {'support': 1.0, 'confidence': 1.0},
        ('Send Fine', 'Payment'): {'support': 1.0, 'confidence': 1.0},
    },
    'coexistence': {
        ('Payment', 'Add penalty'): {'support': 1.0, 'confidence': 1.0},
    },
    'noncoexistence': {
        # Example to denote non-coexistence if such were inferred
    },
    # Other constraints like 'absence', 'exactly_one', etc., can be added similarly based on further analysis.
}

```

This model draft should be revised and expanded based on a deeper analysis of the process variants to include all relevant activities and accurately capture the relationship between them. The decision to include or exclude specific constraints would depend on patterns observed in the variants, such as whether certain activities always occur together (`Coexistence`), one activity never occurs if another does (`Non Coexistence`), or activities follow each other in direct sequence (`Chain Succession`), among others.

Keep in mind, this model is simplified and should be expanded to accurately reflect all observed relationships and constraints in your process variants. Each constraint captures a specific relationship between activities in the process, and the exact configuration should be tailored to the nuances of your process.