Player 1 - Try to see the illogical logically
Player 2 - Dig me, but don't bury me.
============================

step 1 >> player 1: F2E3
bbbbbb
bbbbbb
------
----w-
wwwww-
wwwwww

step 2 >> player 2: D2E3
bbbbbb
bb-bbb
-b----
----w-
wwwww-
wwwwww

step 3 >> player 1: A2B3
bbbbbb
bb-bbb
-b----
-w--w-
-wwww-
wwwwww

step 4 >> player 2: C2D3
bbbbbb
bb--bb
-bb---
-w--w-
-wwww-
wwwwww

step 5 >> player 1: B3C4
bbbbbb
bb--bb
-bw---
----w-
-wwww-
wwwwww

step 6 >> player 2: E2D3
bbbbbb
b---bb
-bb---
----w-
-wwww-
wwwwww

step 7 >> player 1: D2C3
bbbbbb
b---bb
-bb---
--w-w-
-ww-w-
wwwwww

step 8 >> player 2: E3D4
bbbbbb
b---bb
--b---
--b-w-
-ww-w-
wwwwww

step 9 >> player 1: B2C3
bbbbbb
b---bb
--b---
--w-w-
--w-w-
wwwwww

step 10 >> player 2: B2B3
bbbbbb
b----b
--b-b-
--w-w-
--w-w-
wwwwww

step 11 >> player 1: A1B2
bbbbbb
b----b
--b-b-
--w-w-
-ww-w-
-wwwww

step 12 >> player 2: A2A3
bbbbbb
b-----
--b-bb
--w-w-
-ww-w-
-wwwww

step 13 >> player 1: E3F4
bbbbbb
b-----
--b-bw
--w---
-ww-w-
-wwwww

step 14 >> player 2: F2F3
bbbbbb
------
b-b-bw
--w---
-ww-w-
-wwwww

step 15 >> player 1: B2A3
bbbbbb
------
b-b-bw
w-w---
--w-w-
-wwwww

step 16 >> player 2: F1F2
-bbbbb
b-----
b-b-bw
w-w---
--w-w-
-wwwww

step 17 >> player 1: A3B4
-bbbbb
b-----
bwb-bw
--w---
--w-w-
-wwwww

step 18 >> player 2: F2E3
-bbbbb
------
bbb-bw
--w---
--w-w-
-wwwww

step 19 >> player 1: C3B4
-bbbbb
------
bwb-bw
------
--w-w-
-wwwww

step 20 >> player 2: B3B4
-bbbbb
------
bwb--w
----b-
--w-w-
-wwwww

step 21 >> player 1: E2D3
-bbbbb
------
bwb--w
---wb-
--w---
-wwwww

step 22 >> player 2: D3C4
-bbbbb
------
bw---w
---bb-
--w---
-wwwww

step 23 >> player 1: C2D3
-bbbbb
------
bw---w
---wb-
------
-wwwww

step 24 >> player 2: E1D2
--bbbb
--b---
bw---w
---wb-
------
-wwwww

step 25 >> player 1: B4A5
--bbbb
w-b---
b----w
---wb-
------
-wwwww

step 26 >> player 2: D2E3
--bbbb
w-----
bb---w
---wb-
------
-wwwww

step 27 >> player 1: A5A6
w-bbbb
------
bb---w
---wb-
------
-wwwww

Player 1 wins!