Player 1 - Dig me, but don't bury me.
Player 2 - Path finder... game for summer, version 2.0 
============================

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

step 2 >> player 2: D2D3
bbbbbb
bb-bbb
--b---
--w---
www-ww
wwwwww

step 3 >> player 1: E2D3
bbbbbb
bb-bbb
--b---
--ww--
www--w
wwwwww

step 4 >> player 2: D3C4
bbbbbb
bb-bbb
------
--wb--
www--w
wwwwww

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

step 6 >> player 2: F2F3
bbbbbb
-b-bbb
b-----
--ww--
ww---w
wwwwww

step 7 >> player 1: F2E3
bbbbbb
-b-bbb
b-----
--www-
ww----
wwwwww

step 8 >> player 2: E1D2
b-bbbb
-bbbbb
b-----
--www-
ww----
wwwwww

step 9 >> player 1: A2B3
b-bbbb
-bbbbb
b-----
-wwww-
-w----
wwwwww

step 10 >> player 2: F3E4
b-bbbb
-bbbbb
------
-bwww-
-w----
wwwwww

step 11 >> player 1: F1E2
b-bbbb
-bbbbb
------
-bwww-
-w--w-
wwwww-

step 12 >> player 2: A2A3
RaNdOm
b-bbbb
-bbbb-
-----b
-bwww-
-w--w-
wwwww-

step 13 >> player 1: E3F4
b-bbbb
-bbbb-
-----w
-bww--
-w--w-
wwwww-

step 14 >> player 2: A1A2
RaNdOm
b-bbb-
-bbbbb
-----w
-bww--
-w--w-
wwwww-

step 15 >> player 1: E2E3
b-bbb-
-bbbbb
-----w
-bwww-
-w----
wwwww-

step 16 >> player 2: A2B3
RaNdOm
b-bbb-
-bbbb-
----bw
-bwww-
-w----
wwwww-

step 17 >> player 1: D3E4
b-bbb-
-bbbb-
----ww
-bw-w-
-w----
wwwww-

step 18 >> player 2: B1A2
RaNdOm
b-bb--
-bbbbb
----ww
-bw-w-
-w----
wwwww-

step 19 >> player 1: C3C4
b-bb--
-bbbbb
--w-ww
-b--w-
-w----
wwwww-

step 20 >> player 2: A2B3
RaNdOm
b-bb--
-bbbb-
--w-bw
-b--w-
-w----
wwwww-

step 21 >> player 1: B2A3
b-bb--
-bbbb-
--w-bw
wb--w-
------
wwwww-

step 22 >> player 2: B2A3
RaNdOm
b-bb--
-bbb--
--w-bb
wb--w-
------
wwwww-

step 23 >> player 1: E3F4
b-bb--
-bbb--
--w-bw
wb----
------
wwwww-

step 24 >> player 2: B3A4
RaNdOm
b-bb--
-bbb--
--w--w
wb---b
------
wwwww-

step 25 >> player 1: C4D5
b-bb--
-bbw--
-----w
wb---b
------
wwwww-

step 26 >> player 2: E4F5
b-bb--
-bbw--
-----w
w----b
b-----
wwwww-

step 27 >> player 1: D5C6
b-wb--
-bb---
-----w
w----b
b-----
wwwww-

Player 1 wins!