{
  "_comment": "Vertical slice example: apple transfer word problem. Shows complete pipeline state at each stage.",
  "input_text": "Alice had 5 apples. She gave Bob 2 apples. How many apples does Alice have now?",

  "stage_post_gate": {
    "gate_signals": [
      { "gate_id": "has_entity_reference", "activated": true, "confidence": 0.99, "evidence_spans": [{"text": "Alice", "start": 0, "end": 5}, {"text": "Bob", "start": 29, "end": 32}] },
      { "gate_id": "has_coreference", "activated": true, "confidence": 0.90, "evidence_spans": [{"text": "She", "start": 17, "end": 20}] },
      { "gate_id": "has_quantity", "activated": true, "confidence": 0.99, "evidence_spans": [{"text": "5 apples", "start": 10, "end": 18}, {"text": "2 apples", "start": 33, "end": 41}] },
      { "gate_id": "has_ownership_transfer", "activated": true, "confidence": 0.97, "evidence_spans": [{"text": "gave", "start": 21, "end": 25}] },
      { "gate_id": "has_temporal_relation", "activated": true, "confidence": 0.85, "evidence_spans": [{"text": "had", "start": 6, "end": 9}, {"text": "gave", "start": 21, "end": 25}] },
      { "gate_id": "is_math", "activated": true, "confidence": 0.95, "evidence_spans": [{"text": "5", "start": 10, "end": 11}, {"text": "2", "start": 33, "end": 34}] }
    ]
  },

  "stage_post_proposal": {
    "objects": {
      "E1": {
        "object_id": "E1",
        "object_kind": "entity",
        "status": "active",
        "confidence": 0.97,
        "surface_span": { "text": "Alice", "start": 0, "end": 5 },
        "canonical_label": "Alice",
        "aliases": ["She", "her"],
        "facet_refs": [],
        "constraint_refs": [],
        "evidence_refs": [],
        "provenance_refs": ["P1"],
        "source_module": "entity_specialist"
      },
      "E2": {
        "object_id": "E2",
        "object_kind": "entity",
        "status": "active",
        "confidence": 0.97,
        "surface_span": { "text": "Bob", "start": 29, "end": 32 },
        "canonical_label": "Bob",
        "aliases": ["him"],
        "facet_refs": [],
        "constraint_refs": [],
        "evidence_refs": [],
        "provenance_refs": ["P2"],
        "source_module": "entity_specialist"
      },
      "O_apples": {
        "object_id": "O_apples",
        "object_kind": "concept",
        "status": "active",
        "confidence": 0.99,
        "surface_span": { "text": "apples", "start": 12, "end": 18 },
        "canonical_label": "apples",
        "aliases": [],
        "facet_refs": [],
        "constraint_refs": [],
        "evidence_refs": [],
        "provenance_refs": ["P3"],
        "source_module": "entity_specialist"
      },
      "Q1": {
        "object_id": "Q1",
        "object_kind": "quantity",
        "status": "active",
        "confidence": 0.99,
        "surface_span": { "text": "5", "start": 10, "end": 11 },
        "canonical_label": "5",
        "facet_refs": ["F_Q1"],
        "constraint_refs": [],
        "evidence_refs": [],
        "provenance_refs": ["P4"],
        "source_module": "quantity_specialist"
      },
      "Q2": {
        "object_id": "Q2",
        "object_kind": "quantity",
        "status": "active",
        "confidence": 0.99,
        "surface_span": { "text": "2", "start": 33, "end": 34 },
        "canonical_label": "2",
        "facet_refs": ["F_Q2"],
        "constraint_refs": [],
        "evidence_refs": [],
        "provenance_refs": ["P5"],
        "source_module": "quantity_specialist"
      },
      "Q_alice_final": {
        "object_id": "Q_alice_final",
        "object_kind": "quantity",
        "status": "proposed",
        "confidence": 0.80,
        "canonical_label": "Alice's final apple count",
        "facet_refs": ["F_Q_final"],
        "constraint_refs": [],
        "evidence_refs": [],
        "provenance_refs": ["P6"],
        "source_module": "quantity_specialist"
      },
      "EV_initial": {
        "object_id": "EV_initial",
        "object_kind": "event",
        "status": "active",
        "confidence": 0.90,
        "surface_span": { "text": "had", "start": 6, "end": 9 },
        "canonical_label": "initial_possession",
        "facet_refs": [],
        "constraint_refs": [],
        "evidence_refs": [],
        "provenance_refs": ["P7"],
        "source_module": "entity_specialist"
      },
      "EV_transfer": {
        "object_id": "EV_transfer",
        "object_kind": "event",
        "status": "active",
        "confidence": 0.95,
        "surface_span": { "text": "gave", "start": 21, "end": 25 },
        "canonical_label": "transfer",
        "facet_refs": [],
        "constraint_refs": [],
        "evidence_refs": [],
        "provenance_refs": ["P8"],
        "source_module": "entity_specialist"
      }
    }
  },

  "stage_post_specialist": {
    "facets": {
      "F_Q1": {
        "facet_id": "F_Q1",
        "facet_kind": "quantity",
        "object_ref": "Q1",
        "confidence": 0.99,
        "source_module": "quantity_specialist",
        "value": 5,
        "unit": "apples",
        "is_exact": true,
        "derived_from_refs": []
      },
      "F_Q2": {
        "facet_id": "F_Q2",
        "facet_kind": "quantity",
        "object_ref": "Q2",
        "confidence": 0.99,
        "source_module": "quantity_specialist",
        "value": 2,
        "unit": "apples",
        "is_exact": true,
        "derived_from_refs": []
      },
      "F_Q_final": {
        "facet_id": "F_Q_final",
        "facet_kind": "quantity",
        "object_ref": "Q_alice_final",
        "confidence": 0.90,
        "source_module": "quantity_specialist",
        "value": null,
        "unit": "apples",
        "is_exact": false,
        "derived_from_refs": ["Q1", "Q2"]
      },
      "F_EV_initial_temporal": {
        "facet_id": "F_EV_initial_temporal",
        "facet_kind": "temporal",
        "object_ref": "EV_initial",
        "confidence": 0.90,
        "source_module": "temporal_specialist",
        "time_point": "t0",
        "temporal_order_refs": ["C_temporal"]
      },
      "F_EV_transfer_temporal": {
        "facet_id": "F_EV_transfer_temporal",
        "facet_kind": "temporal",
        "object_ref": "EV_transfer",
        "confidence": 0.90,
        "source_module": "temporal_specialist",
        "time_point": "t1",
        "temporal_order_refs": ["C_temporal"]
      },
      "F_E1_ownership_t0": {
        "facet_id": "F_E1_ownership_t0",
        "facet_kind": "ownership",
        "object_ref": "O_apples",
        "confidence": 0.97,
        "source_module": "ownership_specialist",
        "owner_ref": "E1",
        "owned_ref": "O_apples",
        "quantity_ref": "Q1",
        "temporal_ref": "F_EV_initial_temporal",
        "transfer_type": "initial"
      }
    },
    "constraints": {
      "C1": {
        "constraint_id": "C1",
        "constraint_type": "owns",
        "argument_refs": ["E1", "O_apples", "Q1"],
        "polarity": "positive",
        "strength": "hard",
        "status": "unresolved",
        "expression": "owns(Alice, apples, count=5) at t0",
        "confidence": 0.97,
        "source_module": "ownership_specialist",
        "provenance_refs": ["P_C1"]
      },
      "C2": {
        "constraint_id": "C2",
        "constraint_type": "transfers",
        "argument_refs": ["E1", "E2", "O_apples", "Q2"],
        "polarity": "positive",
        "strength": "hard",
        "status": "unresolved",
        "expression": "transfers(Alice, Bob, apples, count=2) at t1",
        "confidence": 0.96,
        "source_module": "ownership_specialist",
        "provenance_refs": ["P_C2"]
      },
      "C3": {
        "constraint_id": "C3",
        "constraint_type": "quantity_difference",
        "argument_refs": ["Q_alice_final", "Q1", "Q2"],
        "polarity": "positive",
        "strength": "hard",
        "status": "unresolved",
        "expression": "quantity(Q_alice_final) = quantity(Q1) - quantity(Q2)",
        "confidence": 0.99,
        "source_module": "quantity_specialist",
        "provenance_refs": ["P_C3"]
      },
      "C_temporal": {
        "constraint_id": "C_temporal",
        "constraint_type": "before",
        "argument_refs": ["EV_initial", "EV_transfer"],
        "polarity": "positive",
        "strength": "hard",
        "status": "unresolved",
        "expression": "before(EV_initial, EV_transfer)",
        "confidence": 0.90,
        "source_module": "temporal_specialist",
        "provenance_refs": ["P_Ct"]
      },
      "C_coreference": {
        "constraint_id": "C_coreference",
        "constraint_type": "same_entity",
        "argument_refs": ["E1", "E_she"],
        "polarity": "positive",
        "strength": "hard",
        "status": "unresolved",
        "expression": "same_entity(Alice, She)",
        "confidence": 0.90,
        "source_module": "entity_specialist",
        "provenance_refs": ["P_Cc"]
      },
      "C_distinct": {
        "constraint_id": "C_distinct",
        "constraint_type": "not_same_entity",
        "argument_refs": ["E1", "E2"],
        "polarity": "positive",
        "strength": "hard",
        "status": "unresolved",
        "expression": "not_same_entity(Alice, Bob)",
        "confidence": 0.99,
        "source_module": "entity_specialist",
        "provenance_refs": ["P_Cd"]
      }
    }
  },

  "stage_resolved": {
    "_notes": "After resolver runs: C3 arithmetic resolved (Q_alice_final=3), C_coreference merged E_she into E1, all hard constraints resolved, no contradictions.",
    "Q_alice_final_value": 3,
    "open_contradictions": [],
    "resolution_log": [
      { "operation": "apply_hard", "affected_refs": ["C1"], "result": "resolved" },
      { "operation": "apply_hard", "affected_refs": ["C2"], "result": "resolved" },
      { "operation": "apply_hard", "affected_refs": ["C_temporal"], "result": "resolved" },
      { "operation": "apply_hard", "affected_refs": ["C_distinct"], "result": "resolved" },
      { "operation": "resolve_arithmetic", "affected_refs": ["Q_alice_final"], "result": "resolved", "note": "computed 5-2=3" },
      { "operation": "merge_coreference", "affected_refs": ["E1", "E_she"], "result": "merged", "note": "merged E_she into E1" }
    ]
  },

  "stage_synthesized": {
    "answer": "Alice has 3 apples.",
    "confidence": 0.97,
    "derivation_trace": [
      "E1 (Alice) — active entity, confidence 0.97",
      "Q1 = 5 apples — quantity, confidence 0.99",
      "Q2 = 2 apples — quantity, confidence 0.99",
      "C1: owns(Alice, apples, count=5) at t0 — resolved",
      "C2: transfers(Alice, Bob, apples, count=2) at t1 — resolved",
      "C3: quantity_difference(Q_alice_final, Q1, Q2) — resolved, 5-2=3",
      "Q_alice_final = 3 apples"
    ]
  }
}