Player 1 - Try to see the illogical logically
Player 2 - B^4 - Brilliant Bruteforce Breakthrough Breaker
============================

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

step 2 >> player 2: A2B3
bbbbbb
bbbbb-
----b-
----w-
wwwww-
wwwwww

step 3 >> player 1: F1F2
bbbbbb
bbbbb-
----b-
----w-
wwwwww
wwwww-

step 4 >> player 2: E2D3
bbbbbb
b-bbb-
--b-b-
----w-
wwwwww
wwwww-

step 5 >> player 1: A2A3
bbbbbb
b-bbb-
--b-b-
w---w-
-wwwww
wwwww-

step 6 >> player 2: F2E3
bbbbbb
--bbb-
-bb-b-
w---w-
-wwwww
wwwww-

step 7 >> player 1: A3B4
bbbbbb
--bbb-
-wb-b-
----w-
-wwwww
wwwww-

step 8 >> player 2: D2E3
bbbbbb
---bb-
-bb-b-
----w-
-wwwww
wwwww-

step 9 >> player 1: D2C3
bbbbbb
---bb-
-bb-b-
--w-w-
-ww-ww
wwwww-

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

step 11 >> player 1: B2C3
bbbbbb
---bb-
--b-b-
--w-w-
--w-ww
wwwww-

step 12 >> player 2: A1A2
bbbbb-
---bbb
--b-b-
--w-w-
--w-ww
wwwww-

step 13 >> player 1: A1B2
bbbbb-
---bbb
--b-b-
--w-w-
-ww-ww
-wwww-

step 14 >> player 2: A2A3
bbbbb-
---bb-
--b-bb
--w-w-
-ww-ww
-wwww-

step 15 >> player 1: C1D2
bbbbb-
---bb-
--b-bb
--w-w-
-wwwww
-w-ww-

step 16 >> player 2: F1F2
-bbbb-
b--bb-
--b-bb
--w-w-
-wwwww
-w-ww-

step 17 >> player 1: F2F3
-bbbb-
b--bb-
--b-bb
--w-ww
-wwww-
-w-ww-

step 18 >> player 2: A3B4
-bbbb-
b--bb-
--b-b-
--w-bw
-wwww-
-w-ww-

step 19 >> player 1: F3E4
-bbbb-
b--bb-
--b-w-
--w-b-
-wwww-
-w-ww-

step 20 >> player 2: B4C5
-bbbb-
b--bb-
--b-w-
--w---
-wwbw-
-w-ww-

step 21 >> player 1: E1D2
-bbbb-
b--bb-
--b-w-
--w---
-wwww-
-w-w--

step 22 >> player 2: C2B3
-bbbb-
b---b-
--b-b-
--w---
-wwww-
-w-w--

step 23 >> player 1: D2E3
-bbbb-
b---b-
--b-b-
--w-w-
-ww-w-
-w-w--

step 24 >> player 2: B2A3
-bbbb-
b-----
--b-bb
--w-w-
-ww-w-
-w-w--

step 25 >> player 1: C3D4
-bbbb-
b-----
--bwbb
----w-
-ww-w-
-w-w--

step 26 >> player 2: A3B4
-bbbb-
b-----
--bwb-
----b-
-ww-w-
-w-w--

step 27 >> player 1: B2A3
-bbbb-
b-----
--bwb-
w---b-
--w-w-
-w-w--

step 28 >> player 2: B4A5
-bbbb-
b-----
--bwb-
w-----
--w-wb
-w-w--

step 29 >> player 1: A3A4
-bbbb-
b-----
w-bwb-
------
--w-wb
-w-w--

step 30 >> player 2: A5B6
-bbbb-
b-----
w-bwb-
------
--w-w-
-w-wb-

Player 2 wins!