Contradiction with Matthew 26:57
This verse states that Jesus was led to Caiaphas first, whereas John 18:13 says he was led to Annas first.
Matthew 26:57: But Peter followed him afar off unto the high priest's palace, and went in, and sat with the servants, to see the end.
Contradiction with Mark 14:53
This verse also mentions Jesus being brought to the high priest, identifiably Caiaphas, before Annas is mentioned.
Mark 14:53: And they led Jesus away to the high priest: and with him were assembled all the chief priests and the elders and the scribes.
Contradiction with Luke 22:54
Similar to Matthew and Mark, this verse states they took Jesus to the high priest, traditionally understood as Caiaphas, contradicting John 18:13's sequence with Annas.
Luke 22:54: Then took they him, and led [him], and brought him into the high priest's house. And Peter followed afar off.