OED:

The quality or condition of being inerrant or unerring; freedom from error.
1818-34 HORNE Introd. Crit. Stud. Script. (ed. 7) II. II. 81 Absolute inerrancy is impracticable in any printed book.
1865 PUSEY Eiren. 326 The old Ultramontane doctrine of the inerrancy of the Pope, i.e. that of his preservation from error.
1880 19th Cent. Sept. 429 The superstition..which magnifies the wisdom of our ancestors into inerrancy.