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

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: A2A3
bbbbbb
-bbbb-
-w---b
------
www-ww
wwwwww

step 5 >> player 1: B4C5
bbbbbb
-bwbb-
-----b
------
www-ww
wwwwww

step 6 >> player 2: C1D2
bbb-bb
-bbbb-
-----b
------
www-ww
wwwwww

step 7 >> player 1: C2D3
bbb-bb
-bbbb-
-----b
---w--
ww--ww
wwwwww

step 8 >> player 2: B2C3
bbb-bb
-bbb--
---b-b
---w--
ww--ww
wwwwww

step 9 >> player 1: E2E3
bbb-bb
-bbb--
---b-b
---ww-
ww---w
wwwwww

step 10 >> player 2: A3B4
bbb-bb
-bbb--
---b--
---wb-
ww---w
wwwwww

step 11 >> player 1: F2E3
bbb-bb
-bbb--
---b--
---ww-
ww----
wwwwww

step 12 >> player 2: C3B4
bbb-bb
-bbb--
------
---wb-
ww----
wwwwww

step 13 >> player 1: A2B3
bbb-bb
-bbb--
------
-w-wb-
-w----
wwwwww

step 14 >> player 2: A1B2
bbb-b-
-bbbb-
------
-w-wb-
-w----
wwwwww

step 15 >> player 1: B2C3
bbb-b-
-bbbb-
------
-wwwb-
------
wwwwww

step 16 >> player 2: D2D3
bbb-b-
-b-bb-
--b---
-wwwb-
------
wwwwww

step 17 >> player 1: B3C4
bbb-b-
-b-bb-
--w---
--wwb-
------
wwwwww

step 18 >> player 2: E2D3
bbb-b-
---bb-
--b---
--wwb-
------
wwwwww

step 19 >> player 1: D3C4
bbb-b-
---bb-
--w---
--w-b-
------
wwwwww

step 20 >> player 2: C2B3
bbb-b-
----b-
--w-b-
--w-b-
------
wwwwww

step 21 >> player 1: F1F2
bbb-b-
----b-
--w-b-
--w-b-
-----w
wwwww-

step 22 >> player 2: F1E2
-bb-b-
-b--b-
--w-b-
--w-b-
-----w
wwwww-

step 23 >> player 1: C4B5
-bb-b-
-w--b-
----b-
--w-b-
-----w
wwwww-

step 24 >> player 2: D1E2
-b--b-
-b--b-
----b-
--w-b-
-----w
wwwww-

step 25 >> player 1: F2E3
-b--b-
-b--b-
----b-
--w-w-
------
wwwww-

step 26 >> player 2: E1D2
----b-
-bb-b-
----b-
--w-w-
------
wwwww-

step 27 >> player 1: E1D2
----b-
-bb-b-
----b-
--w-w-
---w--
wwww--

step 28 >> player 2: E2D3
----b-
--b-b-
--b-b-
--w-w-
---w--
wwww--

step 29 >> player 1: D2D3
----b-
--b-b-
--b-b-
--www-
------
wwww--

step 30 >> player 2: B3A4
----b-
--b-b-
--b---
--wwwb
------
wwww--

step 31 >> player 1: D3C4
----b-
--b-b-
--w---
--w-wb
------
wwww--

step 32 >> player 2: A4A5
----b-
--b-b-
--w---
--w-w-
-----b
wwww--

step 33 >> player 1: C3B4
----b-
--b-b-
-ww---
----w-
-----b
wwww--

step 34 >> player 2: A5A6
----b-
--b-b-
-ww---
----w-
------
wwww-b

Player 2 wins!