{
  "schema_version": 1,
  "adr": "0136.S.0",
  "description": "Deterministic refusal taxonomy over 50 GSM8K train-sample cases. Each case classified by primary blocking barrier and co-occurring secondary barriers.",
  "summary": {
    "total_cases": 50,
    "primary_barrier_counts": {
      "context_filler": 23,
      "compound_statement": 5,
      "novel_initial_form": 2,
      "rate_earnings": 1,
      "partition_divide": 1,
      "indefinite_quantity": 1,
      "temporal_age_anchor": 1,
      "compound_comparative": 1,
      "rate_price": 1,
      "capacity_rate": 1,
      "compound_multi_event": 1,
      "multi_entity_initial": 1,
      "multi_step_complex": 1,
      "multi_day_accumulation": 1,
      "distributive_each_actor": 1,
      "multi_attribute_accumulation": 1,
      "coreference_pronoun": 1,
      "goal_statement": 1,
      "fraction_operand": 1,
      "distributive_multiply": 1,
      "percentage_rate": 1,
      "novel_initial_verb": 1,
      "temporal_frequency": 1
    },
    "secondary_barrier_counts": {
      "distributive_multiply": 5,
      "percentage_of": 5,
      "rate_price": 4,
      "fraction_operand": 4,
      "rate_comparative": 4,
      "multi_step_complex": 3,
      "conditional_question": 3,
      "temporal_frequency": 3,
      "compound_comparative": 3,
      "coreference_pronoun": 2,
      "context_filler": 2,
      "conditional_branch": 2,
      "capacity_rate": 2,
      "rate_earnings": 2,
      "conditional_branching": 1,
      "implicit_quantity": 1,
      "rate_count": 1,
      "rate_question": 1,
      "distributive_divide": 1,
      "implicit_group_count": 1,
      "rate_time": 1,
      "multi_day_accumulation": 1,
      "multi_entity_initial": 1,
      "leg_count": 1,
      "multi_item_purchase": 1,
      "embedded_per_unit": 1,
      "goal_question": 1,
      "compound_multi_event": 1
    },
    "s1_admission_potential": {
      "primary_rate_class": 4,
      "secondary_rate_class_blocked_by_context": 8,
      "notes": "Context filler is the dominant gate (23/50). S.1 rate parsing directly unblocks 4 primary cases; 8 more have rate as secondary but have additional barriers."
    }
  },
  "per_case": [
    {
      "case_id": "gsm8k-train-sample-v1-0001",
      "primary_barrier": "rate_earnings",
      "secondary_barriers": [
        "conditional_branching"
      ],
      "note": "makes $18/hr + overtime conditional"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0002",
      "primary_barrier": "partition_divide",
      "secondary_barriers": [
        "coreference_pronoun"
      ],
      "note": "splits into 25-foot sections; She=Jan"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0003",
      "primary_barrier": "context_filler",
      "secondary_barriers": [
        "distributive_multiply",
        "rate_price"
      ],
      "note": "context sentence gates; 24/box, $0.75 each"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0004",
      "primary_barrier": "indefinite_quantity",
      "secondary_barriers": [
        "fraction_operand"
      ],
      "note": "'some kids' \u2014 no initial count"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0005",
      "primary_barrier": "compound_statement",
      "secondary_barriers": [
        "fraction_operand"
      ],
      "note": "temporal + fraction + future in one sentence"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0006",
      "primary_barrier": "temporal_age_anchor",
      "secondary_barriers": [
        "multi_step_complex"
      ],
      "note": "started at age 6; chained multipliers over age"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0007",
      "primary_barrier": "context_filler",
      "secondary_barriers": [
        "implicit_quantity",
        "conditional_question"
      ],
      "note": "intent sentence; box-size must be inferred"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0008",
      "primary_barrier": "context_filler",
      "secondary_barriers": [
        "distributive_multiply"
      ],
      "note": "context gate; 5 bags\u00d750 + 2 bags\u00d7100"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0009",
      "primary_barrier": "compound_comparative",
      "secondary_barriers": [
        "conditional_question"
      ],
      "note": "4\u00d7chickens + 10 ducks = nested comparative; if question"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0010",
      "primary_barrier": "compound_statement",
      "secondary_barriers": [],
      "note": "'had X initially, but then lost Y' \u2014 two ops one sentence"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0011",
      "primary_barrier": "rate_price",
      "secondary_barriers": [
        "context_filler"
      ],
      "note": "$2 per cup in relative clause; needs inverse solve"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0012",
      "primary_barrier": "compound_statement",
      "secondary_barriers": [
        "fraction_operand",
        "coreference_pronoun"
      ],
      "note": "'ate half' + He=Dennis"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0013",
      "primary_barrier": "context_filler",
      "secondary_barriers": [
        "temporal_frequency",
        "rate_count"
      ],
      "note": "context gate; 10 videos/day \u00d7 days"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0014",
      "primary_barrier": "capacity_rate",
      "secondary_barriers": [],
      "note": "SIMPLEST: 'can shuck 10 in 5 min' \u2192 rate \u00d7 2hr"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0015",
      "primary_barrier": "compound_multi_event",
      "secondary_barriers": [
        "compound_comparative"
      ],
      "note": "subway+train+bike in one sentence; twice as much time"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0016",
      "primary_barrier": "compound_statement",
      "secondary_barriers": [
        "rate_question"
      ],
      "note": "traveled X more than 5 miles AND encountered Y less than 17 signs"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0017",
      "primary_barrier": "context_filler",
      "secondary_barriers": [
        "rate_price",
        "conditional_branch"
      ],
      "note": "context gate; $50/day or $500/14days conditional"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0018",
      "primary_barrier": "context_filler",
      "secondary_barriers": [
        "capacity_rate"
      ],
      "note": "context gate; 2 goals/15min \u00d7 2hr"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0019",
      "primary_barrier": "context_filler",
      "secondary_barriers": [
        "percentage_of",
        "conditional_branch"
      ],
      "note": "context gate; 80% insurance on subsequent visits"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0020",
      "primary_barrier": "multi_entity_initial",
      "secondary_barriers": [
        "rate_comparative"
      ],
      "note": "2 puppies, 2 kittens, 3 parakeets in one sentence; chained price ratios"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0021",
      "primary_barrier": "context_filler",
      "secondary_barriers": [
        "distributive_multiply"
      ],
      "note": "context gate; 15lbs \u00d7 10reps \u00d7 3sets"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0022",
      "primary_barrier": "context_filler",
      "secondary_barriers": [
        "rate_earnings",
        "compound_comparative"
      ],
      "note": "context gate; $20/kg + twice as many catch"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0023",
      "primary_barrier": "multi_step_complex",
      "secondary_barriers": [
        "fraction_operand",
        "distributive_divide"
      ],
      "note": "Nicole\u2192Cindy\u2192Rex\u2192siblings chained"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0024",
      "primary_barrier": "multi_day_accumulation",
      "secondary_barriers": [],
      "note": "20+36+40+50 across Mon\u2013Thu in one sentence"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0025",
      "primary_barrier": "context_filler",
      "secondary_barriers": [
        "distributive_multiply"
      ],
      "note": "context gate; 6 baskets\u00d750 + 3 friends same amount"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0026",
      "primary_barrier": "distributive_each_actor",
      "secondary_barriers": [],
      "note": "'Aaron and Carson each saved $40' \u2014 two actors each"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0027",
      "primary_barrier": "multi_attribute_accumulation",
      "secondary_barriers": [],
      "note": "240 Instagram + 500 Facebook in one sentence for one actor"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0028",
      "primary_barrier": "context_filler",
      "secondary_barriers": [
        "rate_price",
        "temporal_frequency"
      ],
      "note": "context gate; $100k + $1k/day cost + 150\u00d7$10/day revenue"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0029",
      "primary_barrier": "context_filler",
      "secondary_barriers": [
        "rate_comparative"
      ],
      "note": "context gate; keyboard = 3\u00d7 mouse cost"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0030",
      "primary_barrier": "context_filler",
      "secondary_barriers": [
        "rate_comparative"
      ],
      "note": "context gate; beach time = 2.5\u00d7 drive time"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0031",
      "primary_barrier": "context_filler",
      "secondary_barriers": [
        "implicit_group_count"
      ],
      "note": "context + '3 friends' embedded in intent"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0032",
      "primary_barrier": "context_filler",
      "secondary_barriers": [
        "rate_time",
        "percentage_of"
      ],
      "note": "context gate; 2hr draw + 30% less to color"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0033",
      "primary_barrier": "compound_statement",
      "secondary_barriers": [
        "multi_step_complex"
      ],
      "note": "'Rachel is 12, grandfather is 7\u00d7her' in one sentence + future age"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0034",
      "primary_barrier": "context_filler",
      "secondary_barriers": [
        "capacity_rate",
        "percentage_of"
      ],
      "note": "context gate; 40yds/5sec + 40% speed improvement"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0035",
      "primary_barrier": "coreference_pronoun",
      "secondary_barriers": [
        "context_filler"
      ],
      "note": "'She decided to split them' \u2014 pronoun, no local antecedent"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0036",
      "primary_barrier": "context_filler",
      "secondary_barriers": [
        "multi_day_accumulation",
        "compound_comparative"
      ],
      "note": "context gate; multi-day study chain"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0037",
      "primary_barrier": "goal_statement",
      "secondary_barriers": [],
      "note": "'wants to lose 10 pounds by June' \u2014 goal not initial state"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0038",
      "primary_barrier": "novel_initial_form",
      "secondary_barriers": [],
      "note": "'there are a hundred ladies' \u2014 existential + location modifier"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0039",
      "primary_barrier": "context_filler",
      "secondary_barriers": [
        "multi_step_complex"
      ],
      "note": "context gate; Orlando+Jose+Fernando chained"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0040",
      "primary_barrier": "context_filler",
      "secondary_barriers": [
        "multi_entity_initial",
        "leg_count"
      ],
      "note": "context gate; 5 species \u00d7 per-species leg count"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0041",
      "primary_barrier": "fraction_operand",
      "secondary_barriers": [
        "percentage_of"
      ],
      "note": "all of 1 pan + 75% of 2nd pan"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0042",
      "primary_barrier": "distributive_multiply",
      "secondary_barriers": [
        "conditional_question"
      ],
      "note": "4 bags\u00d720 + 6 bags\u00d725; conditional question"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0043",
      "primary_barrier": "context_filler",
      "secondary_barriers": [
        "rate_price",
        "multi_item_purchase"
      ],
      "note": "context gate; two item types at different prices"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0044",
      "primary_barrier": "percentage_rate",
      "secondary_barriers": [],
      "note": "10% simple interest = principal \u00d7 rate \u00d7 time"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0045",
      "primary_barrier": "context_filler",
      "secondary_barriers": [
        "rate_earnings",
        "distributive_multiply"
      ],
      "note": "context gate; $0.2/question \u00d7 10q/survey \u00d7 surveys"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0046",
      "primary_barrier": "novel_initial_form",
      "secondary_barriers": [
        "percentage_of"
      ],
      "note": "'A school has 100' \u2014 indefinite/lowercase entity + % ops"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0047",
      "primary_barrier": "novel_initial_verb",
      "secondary_barriers": [
        "embedded_per_unit"
      ],
      "note": "'bakes 12 macaroons, each weighing 5oz'"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0048",
      "primary_barrier": "context_filler",
      "secondary_barriers": [
        "temporal_frequency",
        "goal_question"
      ],
      "note": "context gate; 6/wk - 2/2wks; solve for when=40"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0049",
      "primary_barrier": "context_filler",
      "secondary_barriers": [
        "compound_multi_event",
        "rate_comparative"
      ],
      "note": "context gate; two route comparison"
    },
    {
      "case_id": "gsm8k-train-sample-v1-0050",
      "primary_barrier": "temporal_frequency",
      "secondary_barriers": [],
      "note": "'every other day for 2 weeks' \u2014 frequency \u00d7 duration"
    }
  ]
}
