# C761 — Resolve SP counting before rounding

## Question

How does the local 53rd-year versus 52-completed distinction affect rounding?

## Inputs

```json
{
  "counted": 53,
  "completed": 52
}
```

## Sources

```json
[
  "File18 §3.1; File51a §17"
]
```

## Opened utc

2026-09-28T01:56:00.820809+00:00

## Results

```json
{
  "Q53": 55,
  "Q52": 50,
  "raw_separation": 1,
  "rounded_separation": 5,
  "round_then_subtract_one": 54
}
```

## Finding

The raw one-unit distinction becomes a five-unit rounding distinction:55 versus50. Rounding then subtracting one gives54, a different construction. Counting convention must be resolved at the input.

## Reassessment

Test the complete SP regular diagnostic while keeping its source status conditional.

## Checks

```json
{
  "five": true,
  "noncommuting": true
}
```

## Closed utc

2026-09-28T01:56:00.821141+00:00

## Record provenance

Exact record hash: `a9cfe22e1e6082c99daa97a8290c6659d880f51e26ef97c12ddc1de734b5dc4f`

Source journal: `Research_Cycles/C0732_C0831/journal.json`