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@two_star Conjecture: if a list of two integers has at least one greater than 6, reversal requires no more or less than four moves.

Notes: By parity on the length of the list, only even numbers of moves can work. Also, two moves can't reverse a list, except by using an invalid position.

Outline: Choose distinct positive integers x, y, z such that the larger integer in the starting list is x+y+z and the smaller is either x or x+y. One of these sequences of steps should work, provided other collisions are avoided:

1. xyz x
xy z x
xy zx
x y zx
x yzx

2. xyz xy
xyz x y
xy z x y
xy zx y
xy zxy