A 48-year-old man is evaluated in the emergency department for fever and cough of 7 days' duration. Medical history is notable for an aortic valve replacement. His only regular medication is warfarin, although he reports taking acetaminophen every 2 to 3 hours to relieve his fever and chest pain as a result of coughing.

On physical examination, the patient appears ill and slightly jaundiced. Temperature is 38.9 °C (102.0 °F), blood pressure is 90/45 mm Hg, pulse rate is 120/min, and respiration rate is 24/min. Oxygen saturation is 91% breathing ambient air. Coarse breath sounds with rhonchi in the right lung base are heard on auscultation. Cardiac examination reveals regular tachycardia and a mechanical S2 but no other findings. Right upper quadrant tenderness and multiple ecchymoses are noted.

Laboratory studies:

D-dimer

5800 µg/mL (5800 mg/L)

Leukocyte count

22,000/µL (22 × 109/L)

Platelet count

95,000/µL (95 × 109/L)

Prothrombin time

58 s

Fibrinogen

110 mg/dL (1.1 g/L)

INR

8.8 (6 weeks ago, 2.5)

Factor V

20% (normal, 50%-150%)

Factor VII

5% (normal, 50%-150%)

Factor VIII

200% (normal, 50%-150%)

Chest radiograph shows a right lower lobe infiltrate.

Which of the following is the most likely cause of the patient's coagulation abnormality?