Player 1 - Dig me, but don't bury me.
Player 2 - B^4 - Brilliant Bruteforce Breakthrough Breaker
============================

step 1 >> player 1: D2C3
bbbbbb
bbbbbb
------
--w---
www-ww
wwwwww

step 2 >> player 2: F2E3
bbbbbb
-bbbbb
-b----
--w---
www-ww
wwwwww

step 3 >> player 1: C3B4
bbbbbb
-bbbbb
-w----
------
www-ww
wwwwww

step 4 >> player 2: D2E3
bbbbbb
-b-bbb
-b----
------
www-ww
wwwwww

step 5 >> player 1: C2D3
bbbbbb
-b-bbb
-b----
---w--
ww--ww
wwwwww

step 6 >> player 2: B2B3
bbbbbb
-b-b-b
-b--b-
---w--
ww--ww
wwwwww

step 7 >> player 1: D3E4
bbbbbb
-b-b-b
-b--w-
------
ww--ww
wwwwww

step 8 >> player 2: A2B3
bbbbbb
-b-b--
-b--b-
------
ww--ww
wwwwww

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

step 10 >> player 2: E3D4
bbbbbb
-b-b--
----b-
--b---
w---ww
wwwwww

step 11 >> player 1: A2B3
bbbbbb
-b-b--
----b-
-wb---
----ww
wwwwww

step 12 >> player 2: E2E3
bbbbbb
---b--
-b--b-
-wb---
----ww
wwwwww

step 13 >> player 1: E2E3
bbbbbb
---b--
-b--b-
-wb-w-
-----w
wwwwww

step 14 >> player 2: A1A2
bbbbb-
---b-b
-b--b-
-wb-w-
-----w
wwwwww

step 15 >> player 1: E1D2
bbbbb-
---b-b
-b--b-
-wb-w-
---w-w
wwww-w

step 16 >> player 2: B3C4
bbbbb-
---b-b
-b----
-wbbw-
---w-w
wwww-w

step 17 >> player 1: D2C3
bbbbb-
---b-b
-b----
-wwbw-
-----w
wwww-w

step 18 >> player 2: E3D4
bbbbb-
---b-b
------
-wbbw-
-----w
wwww-w

step 19 >> player 1: F2F3
bbbbb-
---b-b
------
-wbbww
------
wwww-w

step 20 >> player 2: C4C5
bbbbb-
---b-b
------
-wb-ww
---b--
wwww-w

step 21 >> player 1: C1D2
bbbbb-
---b-b
------
-wb-ww
---w--
ww-w-w

step 22 >> player 2: D4C5
bbbbb-
---b-b
------
-w--ww
---b--
ww-w-w

step 23 >> player 1: B3C4
bbbbb-
---b-b
--w---
----ww
---b--
ww-w-w

step 24 >> player 2: C5B6
bbbbb-
---b-b
--w---
----ww
------
ww-wbw

Player 2 wins!