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FA-58941 / Payroll withholding rules / Open access

Wage garnishment limits with support priority: disposable earnings basis · case 01

Employees with voluntary benefit deductions have smaller garnishments than the orders permit.

Verified by executionVariant 1 · 7 checks per implementationDownload source bundle ↓JSON ↗

ROOT CAUSE

Voluntary deductions are subtracted when computing disposable earnings, although only legally required deductions count.

VERIFIED REPAIR

Restore the contract rule at the disposable earnings basis step: use `disposable = x['gross'] - x['taxes']`.

Unsuccessful approach: The attempt subtracts voluntary deductions instead of taxes, making disposable earnings larger for most employees.

Case contract

Input weekly {gross, taxes, voluntary, support_ordered, supports_other_family, arrears_weeks, creditor_ordered, min_wage}. Disposable = max(0, gross - taxes); voluntary deductions are not subtracted. Support cap is 60% of disposable (50% if supporting another family), +5 points when arrears exceed 12 weeks, floored to cents. Creditor cap is min(25% of disposable, disposable - 30*min_wage floored at 0) less support already taken, floored at 0. Return [disposable, support, creditor].

Why this case matters

Garnishment limits hinge on the legal definition of disposable earnings and on ordering support before creditor orders.

1 / The failure

Exit 1
"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(x):
    disposable = x['gross'] - x['taxes'] - x['voluntary']
    disposable = max(0, disposable)
    pct = 50 if x['supports_other_family'] else 60
    if x['arrears_weeks'] > 12:
        pct += 5
    support_cap = disposable * pct // 100
    support = min(x['support_ordered'], support_cap)
    general_cap = min(disposable * 25 // 100, max(0, disposable - 30 * x['min_wage']))
    creditor_room = max(0, general_cap - support)
    creditor = min(x['creditor_ordered'], creditor_room)
    return [disposable, support, creditor]
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('regression', {'gross': 44578, 'taxes': 13638, 'voluntary': 18352, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 12101, 'min_wage': 1000}, [30940, 0, 940]), ('regression', {'gross': 57348, 'taxes': 14511, 'voluntary': 6333, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 37, 'creditor_ordered': 25506, 'min_wage': 1000}, [42837, 0, 10709]), ('partial-repair probe', {'gross': 49885, 'taxes': 7577, 'voluntary': 0, 'support_ordered': 11010, 'supports_other_family': False, 'arrears_weeks': 13, 'creditor_ordered': 76774, 'min_wage': 725}, [42308, 11010, 0]), ('partial-repair probe', {'gross': 148773, 'taxes': 37141, 'voluntary': 0, 'support_ordered': 142131, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 65400, 'min_wage': 1000}, [111632, 55816, 0]), ('additional oracle', {'gross': 60837, 'taxes': 6384, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 8, 'creditor_ordered': 99104, 'min_wage': 725}, [54453, 0, 13613]), ('additional oracle', {'gross': 46826, 'taxes': 741, 'voluntary': 4492, 'support_ordered': 65174, 'supports_other_family': False, 'arrears_weeks': 12, 'creditor_ordered': 0, 'min_wage': 1500}, [46085, 27651, 0]), ('additional oracle', {'gross': 17708, 'taxes': 3346, 'voluntary': 3682, 'support_ordered': 144082, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1500}, [14362, 7181, 0])], [('regression', {'gross': 57348, 'taxes': 14511, 'voluntary': 6333, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 37, 'creditor_ordered': 25506, 'min_wage': 1000}, [42837, 0, 10709]), ('regression', {'gross': 46826, 'taxes': 741, 'voluntary': 4492, 'support_ordered': 65174, 'supports_other_family': False, 'arrears_weeks': 12, 'creditor_ordered': 0, 'min_wage': 1500}, [46085, 27651, 0]), ('partial-repair probe', {'gross': 148773, 'taxes': 37141, 'voluntary': 0, 'support_ordered': 142131, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 65400, 'min_wage': 1000}, [111632, 55816, 0]), ('partial-repair probe', {'gross': 60837, 'taxes': 6384, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 8, 'creditor_ordered': 99104, 'min_wage': 725}, [54453, 0, 13613]), ('additional oracle', {'gross': 49885, 'taxes': 7577, 'voluntary': 0, 'support_ordered': 11010, 'supports_other_family': False, 'arrears_weeks': 13, 'creditor_ordered': 76774, 'min_wage': 725}, [42308, 11010, 0]), ('additional oracle', {'gross': 17708, 'taxes': 3346, 'voluntary': 3682, 'support_ordered': 144082, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1500}, [14362, 7181, 0]), ('additional oracle', {'gross': 34053, 'taxes': 8230, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1500}, [25823, 0, 0])], [('regression', {'gross': 46826, 'taxes': 741, 'voluntary': 4492, 'support_ordered': 65174, 'supports_other_family': False, 'arrears_weeks': 12, 'creditor_ordered': 0, 'min_wage': 1500}, [46085, 27651, 0]), ('regression', {'gross': 17708, 'taxes': 3346, 'voluntary': 3682, 'support_ordered': 144082, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1500}, [14362, 7181, 0]), ('partial-repair probe', {'gross': 60837, 'taxes': 6384, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 8, 'creditor_ordered': 99104, 'min_wage': 725}, [54453, 0, 13613]), ('partial-repair probe', {'gross': 34053, 'taxes': 8230, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1500}, [25823, 0, 0]), ('additional oracle', {'gross': 57348, 'taxes': 14511, 'voluntary': 6333, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 37, 'creditor_ordered': 25506, 'min_wage': 1000}, [42837, 0, 10709]), ('additional oracle', {'gross': 148773, 'taxes': 37141, 'voluntary': 0, 'support_ordered': 142131, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 65400, 'min_wage': 1000}, [111632, 55816, 0]), ('additional oracle', {'gross': 92812, 'taxes': 14753, 'voluntary': 4255, 'support_ordered': 102328, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1000}, [78059, 39029, 0])], [('regression', {'gross': 17708, 'taxes': 3346, 'voluntary': 3682, 'support_ordered': 144082, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1500}, [14362, 7181, 0]), ('regression', {'gross': 92812, 'taxes': 14753, 'voluntary': 4255, 'support_ordered': 102328, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1000}, [78059, 39029, 0]), ('partial-repair probe', {'gross': 34053, 'taxes': 8230, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1500}, [25823, 0, 0]), ('partial-repair probe', {'gross': 49631, 'taxes': 10694, 'voluntary': 12100, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 29, 'creditor_ordered': 0, 'min_wage': 1500}, [38937, 0, 0]), ('additional oracle', {'gross': 148773, 'taxes': 37141, 'voluntary': 0, 'support_ordered': 142131, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 65400, 'min_wage': 1000}, [111632, 55816, 0]), ('additional oracle', {'gross': 60837, 'taxes': 6384, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 8, 'creditor_ordered': 99104, 'min_wage': 725}, [54453, 0, 13613]), ('additional oracle', {'gross': 46826, 'taxes': 741, 'voluntary': 4492, 'support_ordered': 65174, 'supports_other_family': False, 'arrears_weeks': 12, 'creditor_ordered': 0, 'min_wage': 1500}, [46085, 27651, 0])], [('regression', {'gross': 92812, 'taxes': 14753, 'voluntary': 4255, 'support_ordered': 102328, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1000}, [78059, 39029, 0]), ('regression', {'gross': 49631, 'taxes': 10694, 'voluntary': 12100, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 29, 'creditor_ordered': 0, 'min_wage': 1500}, [38937, 0, 0]), ('partial-repair probe', {'gross': 152311, 'taxes': 3320, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 13, 'creditor_ordered': 0, 'min_wage': 725}, [148991, 0, 0]), ('partial-repair probe', {'gross': 27004, 'taxes': 2084, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 8, 'creditor_ordered': 0, 'min_wage': 725}, [24920, 0, 0]), ('additional oracle', {'gross': 60837, 'taxes': 6384, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 8, 'creditor_ordered': 99104, 'min_wage': 725}, [54453, 0, 13613]), ('additional oracle', {'gross': 46826, 'taxes': 741, 'voluntary': 4492, 'support_ordered': 65174, 'supports_other_family': False, 'arrears_weeks': 12, 'creditor_ordered': 0, 'min_wage': 1500}, [46085, 27651, 0]), ('additional oracle', {'gross': 17708, 'taxes': 3346, 'voluntary': 3682, 'support_ordered': 144082, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1500}, [14362, 7181, 0])]]
for i, (label, args, expected) in enumerate(fixtures[N-1]):
    check("%s %d" % (label, i), solve(args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
Boundary fixtureActualExpectedOutcome
regression 0[12588, 0, 0][30940, 0, 940]Failed
regression 1[36504, 0, 6504][42837, 0, 10709]Failed
partial-repair probe 2[42308, 11010, 0][42308, 11010, 0]Passed
partial-repair probe 3[111632, 55816, 0][111632, 55816, 0]Passed
additional oracle 4[54453, 0, 13613][54453, 0, 13613]Passed
additional oracle 5[41593, 24955, 0][46085, 27651, 0]Failed
additional oracle 6[10680, 5340, 0][14362, 7181, 0]Failed

SHA-256 / aeb21877c715e84287d9e844ae8ff7122cdef967f2b058ec6b52348add5fa610

2 / The unsuccessful fix

Exit 1
"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(x):
    disposable = x['gross'] - x['voluntary']
    disposable = max(0, disposable)
    pct = 50 if x['supports_other_family'] else 60
    if x['arrears_weeks'] > 12:
        pct += 5
    support_cap = disposable * pct // 100
    support = min(x['support_ordered'], support_cap)
    general_cap = min(disposable * 25 // 100, max(0, disposable - 30 * x['min_wage']))
    creditor_room = max(0, general_cap - support)
    creditor = min(x['creditor_ordered'], creditor_room)
    return [disposable, support, creditor]
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('regression', {'gross': 44578, 'taxes': 13638, 'voluntary': 18352, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 12101, 'min_wage': 1000}, [30940, 0, 940]), ('regression', {'gross': 57348, 'taxes': 14511, 'voluntary': 6333, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 37, 'creditor_ordered': 25506, 'min_wage': 1000}, [42837, 0, 10709]), ('partial-repair probe', {'gross': 49885, 'taxes': 7577, 'voluntary': 0, 'support_ordered': 11010, 'supports_other_family': False, 'arrears_weeks': 13, 'creditor_ordered': 76774, 'min_wage': 725}, [42308, 11010, 0]), ('partial-repair probe', {'gross': 148773, 'taxes': 37141, 'voluntary': 0, 'support_ordered': 142131, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 65400, 'min_wage': 1000}, [111632, 55816, 0]), ('additional oracle', {'gross': 60837, 'taxes': 6384, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 8, 'creditor_ordered': 99104, 'min_wage': 725}, [54453, 0, 13613]), ('additional oracle', {'gross': 46826, 'taxes': 741, 'voluntary': 4492, 'support_ordered': 65174, 'supports_other_family': False, 'arrears_weeks': 12, 'creditor_ordered': 0, 'min_wage': 1500}, [46085, 27651, 0]), ('additional oracle', {'gross': 17708, 'taxes': 3346, 'voluntary': 3682, 'support_ordered': 144082, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1500}, [14362, 7181, 0])], [('regression', {'gross': 57348, 'taxes': 14511, 'voluntary': 6333, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 37, 'creditor_ordered': 25506, 'min_wage': 1000}, [42837, 0, 10709]), ('regression', {'gross': 46826, 'taxes': 741, 'voluntary': 4492, 'support_ordered': 65174, 'supports_other_family': False, 'arrears_weeks': 12, 'creditor_ordered': 0, 'min_wage': 1500}, [46085, 27651, 0]), ('partial-repair probe', {'gross': 148773, 'taxes': 37141, 'voluntary': 0, 'support_ordered': 142131, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 65400, 'min_wage': 1000}, [111632, 55816, 0]), ('partial-repair probe', {'gross': 60837, 'taxes': 6384, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 8, 'creditor_ordered': 99104, 'min_wage': 725}, [54453, 0, 13613]), ('additional oracle', {'gross': 49885, 'taxes': 7577, 'voluntary': 0, 'support_ordered': 11010, 'supports_other_family': False, 'arrears_weeks': 13, 'creditor_ordered': 76774, 'min_wage': 725}, [42308, 11010, 0]), ('additional oracle', {'gross': 17708, 'taxes': 3346, 'voluntary': 3682, 'support_ordered': 144082, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1500}, [14362, 7181, 0]), ('additional oracle', {'gross': 34053, 'taxes': 8230, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1500}, [25823, 0, 0])], [('regression', {'gross': 46826, 'taxes': 741, 'voluntary': 4492, 'support_ordered': 65174, 'supports_other_family': False, 'arrears_weeks': 12, 'creditor_ordered': 0, 'min_wage': 1500}, [46085, 27651, 0]), ('regression', {'gross': 17708, 'taxes': 3346, 'voluntary': 3682, 'support_ordered': 144082, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1500}, [14362, 7181, 0]), ('partial-repair probe', {'gross': 60837, 'taxes': 6384, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 8, 'creditor_ordered': 99104, 'min_wage': 725}, [54453, 0, 13613]), ('partial-repair probe', {'gross': 34053, 'taxes': 8230, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1500}, [25823, 0, 0]), ('additional oracle', {'gross': 57348, 'taxes': 14511, 'voluntary': 6333, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 37, 'creditor_ordered': 25506, 'min_wage': 1000}, [42837, 0, 10709]), ('additional oracle', {'gross': 148773, 'taxes': 37141, 'voluntary': 0, 'support_ordered': 142131, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 65400, 'min_wage': 1000}, [111632, 55816, 0]), ('additional oracle', {'gross': 92812, 'taxes': 14753, 'voluntary': 4255, 'support_ordered': 102328, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1000}, [78059, 39029, 0])], [('regression', {'gross': 17708, 'taxes': 3346, 'voluntary': 3682, 'support_ordered': 144082, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1500}, [14362, 7181, 0]), ('regression', {'gross': 92812, 'taxes': 14753, 'voluntary': 4255, 'support_ordered': 102328, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1000}, [78059, 39029, 0]), ('partial-repair probe', {'gross': 34053, 'taxes': 8230, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1500}, [25823, 0, 0]), ('partial-repair probe', {'gross': 49631, 'taxes': 10694, 'voluntary': 12100, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 29, 'creditor_ordered': 0, 'min_wage': 1500}, [38937, 0, 0]), ('additional oracle', {'gross': 148773, 'taxes': 37141, 'voluntary': 0, 'support_ordered': 142131, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 65400, 'min_wage': 1000}, [111632, 55816, 0]), ('additional oracle', {'gross': 60837, 'taxes': 6384, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 8, 'creditor_ordered': 99104, 'min_wage': 725}, [54453, 0, 13613]), ('additional oracle', {'gross': 46826, 'taxes': 741, 'voluntary': 4492, 'support_ordered': 65174, 'supports_other_family': False, 'arrears_weeks': 12, 'creditor_ordered': 0, 'min_wage': 1500}, [46085, 27651, 0])], [('regression', {'gross': 92812, 'taxes': 14753, 'voluntary': 4255, 'support_ordered': 102328, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1000}, [78059, 39029, 0]), ('regression', {'gross': 49631, 'taxes': 10694, 'voluntary': 12100, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 29, 'creditor_ordered': 0, 'min_wage': 1500}, [38937, 0, 0]), ('partial-repair probe', {'gross': 152311, 'taxes': 3320, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 13, 'creditor_ordered': 0, 'min_wage': 725}, [148991, 0, 0]), ('partial-repair probe', {'gross': 27004, 'taxes': 2084, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 8, 'creditor_ordered': 0, 'min_wage': 725}, [24920, 0, 0]), ('additional oracle', {'gross': 60837, 'taxes': 6384, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 8, 'creditor_ordered': 99104, 'min_wage': 725}, [54453, 0, 13613]), ('additional oracle', {'gross': 46826, 'taxes': 741, 'voluntary': 4492, 'support_ordered': 65174, 'supports_other_family': False, 'arrears_weeks': 12, 'creditor_ordered': 0, 'min_wage': 1500}, [46085, 27651, 0]), ('additional oracle', {'gross': 17708, 'taxes': 3346, 'voluntary': 3682, 'support_ordered': 144082, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1500}, [14362, 7181, 0])]]
for i, (label, args, expected) in enumerate(fixtures[N-1]):
    check("%s %d" % (label, i), solve(args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
Boundary fixtureActualExpectedOutcome
regression 0[26226, 0, 0][30940, 0, 940]Failed
regression 1[51015, 0, 12753][42837, 0, 10709]Failed
partial-repair probe 2[49885, 11010, 1461][42308, 11010, 0]Failed
partial-repair probe 3[148773, 74386, 0][111632, 55816, 0]Failed
additional oracle 4[60837, 0, 15209][54453, 0, 13613]Failed
additional oracle 5[42334, 25400, 0][46085, 27651, 0]Failed
additional oracle 6[14026, 7013, 0][14362, 7181, 0]Failed

SHA-256 / 6a6bf6678381f9a9baab058416cf54043dca1af76e043b94b611345ab059c1ab

3 / The verified repair

Exit 0
"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(x):
    disposable = x['gross'] - x['taxes']
    disposable = max(0, disposable)
    pct = 50 if x['supports_other_family'] else 60
    if x['arrears_weeks'] > 12:
        pct += 5
    support_cap = disposable * pct // 100
    support = min(x['support_ordered'], support_cap)
    general_cap = min(disposable * 25 // 100, max(0, disposable - 30 * x['min_wage']))
    creditor_room = max(0, general_cap - support)
    creditor = min(x['creditor_ordered'], creditor_room)
    return [disposable, support, creditor]
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('regression', {'gross': 44578, 'taxes': 13638, 'voluntary': 18352, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 12101, 'min_wage': 1000}, [30940, 0, 940]), ('regression', {'gross': 57348, 'taxes': 14511, 'voluntary': 6333, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 37, 'creditor_ordered': 25506, 'min_wage': 1000}, [42837, 0, 10709]), ('partial-repair probe', {'gross': 49885, 'taxes': 7577, 'voluntary': 0, 'support_ordered': 11010, 'supports_other_family': False, 'arrears_weeks': 13, 'creditor_ordered': 76774, 'min_wage': 725}, [42308, 11010, 0]), ('partial-repair probe', {'gross': 148773, 'taxes': 37141, 'voluntary': 0, 'support_ordered': 142131, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 65400, 'min_wage': 1000}, [111632, 55816, 0]), ('additional oracle', {'gross': 60837, 'taxes': 6384, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 8, 'creditor_ordered': 99104, 'min_wage': 725}, [54453, 0, 13613]), ('additional oracle', {'gross': 46826, 'taxes': 741, 'voluntary': 4492, 'support_ordered': 65174, 'supports_other_family': False, 'arrears_weeks': 12, 'creditor_ordered': 0, 'min_wage': 1500}, [46085, 27651, 0]), ('additional oracle', {'gross': 17708, 'taxes': 3346, 'voluntary': 3682, 'support_ordered': 144082, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1500}, [14362, 7181, 0])], [('regression', {'gross': 57348, 'taxes': 14511, 'voluntary': 6333, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 37, 'creditor_ordered': 25506, 'min_wage': 1000}, [42837, 0, 10709]), ('regression', {'gross': 46826, 'taxes': 741, 'voluntary': 4492, 'support_ordered': 65174, 'supports_other_family': False, 'arrears_weeks': 12, 'creditor_ordered': 0, 'min_wage': 1500}, [46085, 27651, 0]), ('partial-repair probe', {'gross': 148773, 'taxes': 37141, 'voluntary': 0, 'support_ordered': 142131, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 65400, 'min_wage': 1000}, [111632, 55816, 0]), ('partial-repair probe', {'gross': 60837, 'taxes': 6384, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 8, 'creditor_ordered': 99104, 'min_wage': 725}, [54453, 0, 13613]), ('additional oracle', {'gross': 49885, 'taxes': 7577, 'voluntary': 0, 'support_ordered': 11010, 'supports_other_family': False, 'arrears_weeks': 13, 'creditor_ordered': 76774, 'min_wage': 725}, [42308, 11010, 0]), ('additional oracle', {'gross': 17708, 'taxes': 3346, 'voluntary': 3682, 'support_ordered': 144082, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1500}, [14362, 7181, 0]), ('additional oracle', {'gross': 34053, 'taxes': 8230, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1500}, [25823, 0, 0])], [('regression', {'gross': 46826, 'taxes': 741, 'voluntary': 4492, 'support_ordered': 65174, 'supports_other_family': False, 'arrears_weeks': 12, 'creditor_ordered': 0, 'min_wage': 1500}, [46085, 27651, 0]), ('regression', {'gross': 17708, 'taxes': 3346, 'voluntary': 3682, 'support_ordered': 144082, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1500}, [14362, 7181, 0]), ('partial-repair probe', {'gross': 60837, 'taxes': 6384, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 8, 'creditor_ordered': 99104, 'min_wage': 725}, [54453, 0, 13613]), ('partial-repair probe', {'gross': 34053, 'taxes': 8230, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1500}, [25823, 0, 0]), ('additional oracle', {'gross': 57348, 'taxes': 14511, 'voluntary': 6333, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 37, 'creditor_ordered': 25506, 'min_wage': 1000}, [42837, 0, 10709]), ('additional oracle', {'gross': 148773, 'taxes': 37141, 'voluntary': 0, 'support_ordered': 142131, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 65400, 'min_wage': 1000}, [111632, 55816, 0]), ('additional oracle', {'gross': 92812, 'taxes': 14753, 'voluntary': 4255, 'support_ordered': 102328, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1000}, [78059, 39029, 0])], [('regression', {'gross': 17708, 'taxes': 3346, 'voluntary': 3682, 'support_ordered': 144082, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1500}, [14362, 7181, 0]), ('regression', {'gross': 92812, 'taxes': 14753, 'voluntary': 4255, 'support_ordered': 102328, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1000}, [78059, 39029, 0]), ('partial-repair probe', {'gross': 34053, 'taxes': 8230, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1500}, [25823, 0, 0]), ('partial-repair probe', {'gross': 49631, 'taxes': 10694, 'voluntary': 12100, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 29, 'creditor_ordered': 0, 'min_wage': 1500}, [38937, 0, 0]), ('additional oracle', {'gross': 148773, 'taxes': 37141, 'voluntary': 0, 'support_ordered': 142131, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 65400, 'min_wage': 1000}, [111632, 55816, 0]), ('additional oracle', {'gross': 60837, 'taxes': 6384, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 8, 'creditor_ordered': 99104, 'min_wage': 725}, [54453, 0, 13613]), ('additional oracle', {'gross': 46826, 'taxes': 741, 'voluntary': 4492, 'support_ordered': 65174, 'supports_other_family': False, 'arrears_weeks': 12, 'creditor_ordered': 0, 'min_wage': 1500}, [46085, 27651, 0])], [('regression', {'gross': 92812, 'taxes': 14753, 'voluntary': 4255, 'support_ordered': 102328, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1000}, [78059, 39029, 0]), ('regression', {'gross': 49631, 'taxes': 10694, 'voluntary': 12100, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 29, 'creditor_ordered': 0, 'min_wage': 1500}, [38937, 0, 0]), ('partial-repair probe', {'gross': 152311, 'taxes': 3320, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 13, 'creditor_ordered': 0, 'min_wage': 725}, [148991, 0, 0]), ('partial-repair probe', {'gross': 27004, 'taxes': 2084, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 8, 'creditor_ordered': 0, 'min_wage': 725}, [24920, 0, 0]), ('additional oracle', {'gross': 60837, 'taxes': 6384, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 8, 'creditor_ordered': 99104, 'min_wage': 725}, [54453, 0, 13613]), ('additional oracle', {'gross': 46826, 'taxes': 741, 'voluntary': 4492, 'support_ordered': 65174, 'supports_other_family': False, 'arrears_weeks': 12, 'creditor_ordered': 0, 'min_wage': 1500}, [46085, 27651, 0]), ('additional oracle', {'gross': 17708, 'taxes': 3346, 'voluntary': 3682, 'support_ordered': 144082, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1500}, [14362, 7181, 0])]]
for i, (label, args, expected) in enumerate(fixtures[N-1]):
    check("%s %d" % (label, i), solve(args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
Boundary fixtureActualExpectedOutcome
regression 0[30940, 0, 940][30940, 0, 940]Passed
regression 1[42837, 0, 10709][42837, 0, 10709]Passed
partial-repair probe 2[42308, 11010, 0][42308, 11010, 0]Passed
partial-repair probe 3[111632, 55816, 0][111632, 55816, 0]Passed
additional oracle 4[54453, 0, 13613][54453, 0, 13613]Passed
additional oracle 5[46085, 27651, 0][46085, 27651, 0]Passed
additional oracle 6[14362, 7181, 0][14362, 7181, 0]Passed

SHA-256 / 4b87cda891a63a1cbb2a7f0f8f6ccab17190a2f400cb37ae3249fe9be9c1ab4a

Verification & scope

A deterministic teaching model of a stipulated payroll rule with toy thresholds and rates. It makes no claim of conformance to any tax authority, statute or jurisdiction and is not payroll software. This reproducer isolates one failure mechanism. Results cover the supplied fixtures. Variants within a family share a test contract and should remain grouped when constructing evaluation splits. Related mechanisms with a shared evaluation_group must also remain together; these controlled models are not independent production incidents.

Observations recorded using Python 3.12.14 at 2026-09-29T14:46:31.481417+00:00.

Case digest / 86d743e1a50ff350dcf25dce053ece46f4c10b2e71175efc9850a3bff920d048