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ucwm/examples/word_problem_001.json

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{
"_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"
]
}
}