Let me process this payroll record.

Input:
- gross_pay: "2510.90"
- payroll_month: "2026-11"

Case reference schedule (authoritative):
- second-half (2026-07 through 2026-12): rate "0.05", cap "3500.00", deduction "400.00", free "1200.00", upper "3000.00", middle_rate "0.14", upper_rate "0.20"

2026-11 is in the second half, so use the second-half row.

Step 1: Employee contribution (R3):
- rate = 0.05
- wage cap = 3500.00
- gross pay = 2510.90
- smaller of 2510.90 and 3500.00 = 2510.90
- contribution = 0.05 × 2510.90 = 125.545 → round half-up to 125.55? Wait, 125.545 rounds to 125.55 (round half-up at third decimal... actually we round to two decimals: 125.545 → 125.55? 125.545, the third decimal is 5, so round half-up gives 125.55). Wait: 125.545 to two decimals: look at third decimal digit = 5, round half up → 125.55.

Hmm, but let me double check: 0.05 × 2510.90 = 125.545. Yes. Round to 125.55.

Step 2: Allowed deduction (R4):
- Not provided, defaults to 0.00.
- Check: must not exceed deduction cap 400.00 or gross pay minus contribution = 2510.90 - 125.55 = 2385.35. Default 0.00 is fine.

Step 3: Taxable pay:
- 2510.90 - 125.55 - 0.00 = 2385.35

Step 4: Income tax (R5):
- Tax-free amount = 1200.00
- Upper bracket begins = 3000.00
- Taxable pay = 2385.35
- Portion up to 1200.00: untaxed.
- Portion above 1200.00 up to 3000.00: 2385.35 - 1200.00 = 1185.35 at middle rate 0.14 = 165.949
- Portion above 3000.00: 0 (taxable pay is below 3000)
- Total tax = 165.949 → round to 165.95

Wait: 1185.35 × 0.14 = 165.949. Round half-up to two decimals: 165.95.

Step 5: Net pay (R6):
- Net = 2510.90 - 125.55 - 0.00 - 165.95 = 2219.40

Let me verify: 2510.90 - 125.55 = 2385.35. 2385.35 - 165.95 = 2219.40. Yes.

Fields:
- decision: "calculate"
- currency: "LCR"
- gross_pay: "2510.90"
- employee_contribution: "125.55"
- allowed_deduction: "0.00"
- taxable_pay: "2385.35"
- income_tax: "165.95"
- net_pay: "2219.40"
- clauses: R1 (selecting row via schedule), R2 (rounding), R3 (contribution), R4 (deduction/taxable), R5 (tax), R6 (net pay/answer format)

No amendment, no contract gross pay, so no R9.

The schedule must be used since it's authoritative and supplied. The second-half row: rate 0.05, cap 3500.00, deduction 400.00, free 1200.00, upper 3000.00, middle_rate 0.14, upper_rate 0.20. All required fields present (rate, cap, deduction, free, upper, middle_rate, upper_rate). Good.

Citations: R1 through R6. Include R1, R2, R3, R4, R5, R6.

Let me process this payroll record.

Input:
- gross_pay: "2510.90"
- payroll_month: "2026-11"
- Case reference schedule supplied (authoritative):
  - first-half: rate 0.04, cap 4500.00, deduction 400.00, free 900.00, upper 3600.00, middle_rate 0.12, upper_rate 0.24
  - second-half: rate 0.05, cap 3500.00, deduction 400.00, free 1200.00, upper 3000.00, middle_rate 0.14, upper_rate 0.20

Payroll month 2026-11 is in the second half (2026-07 through 2026-12), so use second-half row:
- rate: 0.05
- cap: 3500.00
- deduction cap: 400.00
- tax-free: 1200.00
- upper begins: 3000.00
- middle rate: 0.14
- upper rate: 0.20

No allowed_deduction provided → defaults to 0.00.

Employee contribution (R3): rate × min(gross, cap) = 0.05 × min(2510.90, 3500.00) = 0.05 × 2510.90 = 125.545 → round half up to 125.55? Wait, 125.545 rounds to 125.55 (round half up at 2 decimals: 125.545 → the third decimal is 5, so round up → 125.55). Actually 0.05 × 2510.90 = 125.545. Round to two decimals: 125.55 (round half up).

Hmm, let me double-check: 2510.90 × 0.05 = 125.545. Yes. Round half up → 125.55.

Taxable pay (R4): gross − contribution − allowed_deduction = 2510.90 − 125.55 − 0.00 = 2385.35.

Income tax (R5): progressive:
- Tax-free amount: 1200.00 → untaxed.
- Portion above 1200.00 up to upper boundary 3000.00: taxable is 2385.35, which is below 3000. So middle bracket portion = 2385.35 − 1200.00 = 1185.35 at 0.14 = 165.949.
- Upper bracket: taxable is below 3000, so 0 at 0.20.

Total tax = 165.949 → round to 165.95.

Let me compute: 1185.35 × 0.14 = 165.949. Round half up → 165.95.

Net pay (R6): gross − contribution − deduction − tax = 2510.90 − 125.55 − 0.00 − 165.95 = 2219.40.

Check: 2510.90 − 125.55 = 2385.35. 2385.35 − 165.95 = 2219.40. Yes.

Note: "Do not round intermediate bracket products separately before summing income tax" — here only one bracket product, so fine.

Answer fields:
- decision: "calculate"
- currency: "LCR"
- gross_pay: "2510.90"
- employee_contribution: "125.55"
- allowed_deduction: "0.00"
- taxable_pay: "2385.35"
- income_tax: "165.95"
- net_pay: "2219.40"
- clauses: R1, R2, R3, R4, R5, R6

The schedule is supplied, so R1's schedule provision applies. Clauses: ["R1","R2","R3","R4","R5","R6"].

No amendment, no contract conflict.

Output JSON without markdown fences.

Let me work through this payroll calculation.

Input:
- gross_pay: "2510.90"
- payroll_month: "2026-11"

Payroll month 2026-11 is in the second half (2026-07 through 2026-12). The authoritative case reference schedule supplies:
- second-half: rate 0.05, cap 3500.00, deduction 400.00, free 1200.00, upper 3000.00, middle_rate 0.14, upper_rate 0.20

Per R1, when a case schedule is supplied, its numeric values replace the defaults for that case only. So I use the second-half row from the schedule.

Step 1: Employee contribution (R3):
- Contribution rate = 0.05
- Wage cap = 3500.00
- min(gross_pay, cap) = min(2510.90, 3500.00) = 2510.90
- Contribution = 0.05 × 2510.90 = 125.545 → round half-up to two decimals = 125.55? Wait, 125.545 rounds to 125.55 (round half-up: 125.545 → the third decimal is 5, so round up the second decimal: 125.54 → 125.55). Actually 125.545: two decimal places means we look at the third decimal digit which is 5, round half up → 125.55.

Hmm, but wait — R2 says "Do not round intermediate bracket products separately before summing income tax." For the contribution, R3 says "Round the contribution under R2." So contribution = 125.55? Let me double check: 0.05 × 2510.90 = 125.545. Round half up at two decimals: 125.545 → 125.55 (since the digit after the second decimal is 5, we round up). Yes, 125.55.

Hmm, but actually let me reconsider. 2510.90 × 0.05 = 125.545 exactly. Round half-up to 2 decimals: 125.55.

Step 2: Allowed deduction (R4):
- allowed_deduction defaults to 0.00 when omitted. It's omitted here, so 0.00.
- Check: must not exceed deduction cap (400.00) or gross pay minus rounded contribution (2510.90 − 125.55 = 2385.35). 0.00 is fine.

Step 3: Taxable pay (R4):
- taxable = gross − contribution − deduction = 2510.90 − 125.55 − 0.00 = 2385.35

Step 4: Income tax (R5):
- Tax-free amount = 1200.00
- Upper bracket begins at 3000.00
- Middle rate = 0.14, upper rate = 0.20

Taxable pay = 2385.35.
- Portion up to 1200.00: untaxed → 0
- Portion above 1200.00 up to 3000.00: 2385.35 − 1200.00 = 1185.35 at 0.14 = 165.949
- Portion above 3000.00: 0 (taxable pay is below 3000)

Total tax = 165.949 → round half-up to two decimals = 165.95.

Wait: 1185.35 × 0.14 = 165.949. Round: third decimal is 9, so 165.95. Yes.

Note R2 says do not round intermediate bracket products separately before summing. Here there's only one bracket product, so no issue. Sum = 165.949 → 165.95.

Step 5: Net pay (R6):
- Net = gross − contribution − deduction − tax = 2510.90 − 125.55 − 0.00 − 165.95 = 2219.40

Let me verify: 2510.90 − 125.55 = 2385.35. 2385.35 − 165.95 = 2219.40. Yes.

Fields:
- decision: "calculate"
- currency: "LCR"
- gross_pay: "2510.90"
- employee_contribution: "125.55"
- allowed_deduction: "0.00"
- taxable_pay: "2385.35"
- income_tax: "165.95"
- net_pay: "2219.40"
- clauses: R1 (selecting row/schedule), R2 (rounding), R3 (contribution), R4 (deduction/taxable), R5 (tax), R6 (net pay/answer format)

No amendment or contract conflict present, so no R9.

The schedule is supplied directly in the prompt (not tool mode), so I use it. The schedule must include rate, cap, deduction, free, upper, middle_rate, upper_rate — it does for both rows.

Let me double-check the contribution rounding once more. 2510.90 × 0.05: 2510.90 × 0.05 = 125.545. Round half up: 125.545 → look at third decimal 5 → round up second decimal from 4 to 5 → 125.55. Correct.

Taxable pay uses the rounded contribution per R4 ("gross pay minus the rounded employee contribution"). 2510.90 − 125.55 = 2385.35.

Tax: 2385.35 − 1200.00 = 1185.35 in middle bracket (since 2385.35 ≤ 3000.00). 1185.35 × 0.14 = 165.949 → 165.95.

Net: 2510.90 − 125.55 − 0.00 − 165.95 = 2219.40.

All good. Clauses: ["R1", "R2", "R3", "R4", "R5", "R6"].

Output JSON without markdown fences, no prose.