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The paper as published has the following errata that have been corrected in this preprint. • On p. 439, line 7, “(Condensed detachment) ” should be followed by a reference to a footnote, “The arrays start at index i = 1. In Step 3, i is increased before each comparison is made.” • On p. 446, line 17, “unnecessary ” is misspelled. • On p. 448, 2nd line from bottom, “that in Section 8. ” should be followed by “In addition, S3 ′ has the following stronger property.” • On p. 449, line 22, “ui ” should be “u1”. • On p. 450, line 27, “Dpq ” should be “Dqp”. • On p. 451, line 2, “shorter proof string ” should be followed by a reference to a footnote, “Found by the Otter theorem prover [20]. ” A Finitely Axiomatized Formalization of Predicate Calculus with Equality

The paper as published has the following errata that have been corrected in this preprint. • On p. 439, line 7, “(Condensed detachment) ” should be followed by a reference to a footnote, “The arrays start at index i = 1. In Step 3, i is increased before each comparison is made.” • On p. 446, line 17, “unnecessary ” is misspelled. • On p. 448, 2nd line from bottom, “that in Section 8. ” should be followed by “In addition, S3 ′ has the following stronger property.” • On p. 449, line 22, “ui ” should be “u1”. • On p. 450, line 27, “Dpq ” should be “Dqp”. • On p. 451, line 2, “shorter proof string ” should be followed by a reference to a footnote, “Found by the Otter theorem prover [20]. ” A Finitely Axiomatized Formalization of Predicate Calculus with Equality

The paper as published has the following errata that have been corrected in this preprint. • On p. 439, line 7, “(Condensed detachment) ” should be followed by a reference to a footnote, “The arrays start at index i = 1. In Step 3, i is increased before each comparison is made.” • On p. 446, line 17, “unnecessary ” is misspelled. • On p. 448, 2nd line from bottom, “that in Section 8. ” should be followed by “In addition, S3 ′ has the following stronger property.” • On p. 449, line 22, “ui ” should be “u1”. • On p. 450, line 27, “Dpq ” should be “Dqp”. • On p. 451, line 2, “shorter proof string ” should be followed by a reference to a footnote, “Found by the Otter theorem prover [20]. ” A Finitely Axiomatized Formalization of Predicate Calculus with Equality

The paper as published has the following errata that have been corrected in this preprint. • On p. 439, line 7, “(Condensed detachment) ” should be followed by a reference to a footnote, “The arrays start at index i = 1. In Step 3, i is increased before each comparison is made.” • On p. 446, line 17, “unnecessary ” is misspelled. • On p. 448, 2nd line from bottom, “that in Section 8. ” should be followed by “In addition, S3 ′ has the following stronger property.” • On p. 449, line 22, “ui ” should be “u1”. • On p. 450, line 27, “Dpq ” should be “Dqp”. • On p. 451, line 2, “shorter proof string ” should be followed by a reference to a footnote, “Found by the Otter theorem prover [20]. ” A Finitely Axiomatized Formalization of Predicate Calculus with Equality