Player 1 - Try to see the illogical logically
Player 2 - 
============================

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

step 2 >> player 2: B2B3
bbbbbb
bbbb-b
----b-
----w-
wwwww-
wwwwww

step 3 >> player 1: B2C3
bbbbbb
bbbb-b
----b-
--w-w-
w-www-
wwwwww

step 4 >> player 2: D2D3
bbbbbb
bb-b-b
--b-b-
--w-w-
w-www-
wwwwww

step 5 >> player 1: A1B2
bbbbbb
bb-b-b
--b-b-
--w-w-
wwwww-
-wwwww

step 6 >> player 2: B3A4
bbbbbb
bb-b-b
--b---
--w-wb
wwwww-
-wwwww

step 7 >> player 1: E2D3
bbbbbb
bb-b-b
--b---
--wwwb
wwww--
-wwwww

step 8 >> player 2: A4A5
bbbbbb
bb-b-b
--b---
--www-
wwww-b
-wwwww

step 9 >> player 1: E1F2
bbbbbb
bb-b-b
--b---
--www-
wwww-w
-www-w

step 10 >> player 2: A2B3
bbbbbb
bb-b--
--b-b-
--www-
wwww-w
-www-w

step 11 >> player 1: D3E4
bbbbbb
bb-b--
--b-w-
--w-w-
wwww-w
-www-w

step 12 >> player 2: D3E4
bbbbbb
bb-b--
----w-
-bw-w-
wwww-w
-www-w

step 13 >> player 1: E4F5
bbbbbb
bb-b-w
------
-bw-w-
wwww-w
-www-w

step 14 >> player 2: B1A2
bbbb-b
bb-b-b
------
-bw-w-
wwww-w
-www-w

step 15 >> player 1: A2B3
bbbb-b
bb-b-b
------
-ww-w-
-www-w
-www-w

step 16 >> player 2: A2A3
bbbb-b
bb-b--
-----b
-ww-w-
-www-w
-www-w

step 17 >> player 1: E3F4
bbbb-b
bb-b--
-----w
-ww---
-www-w
-www-w

step 18 >> player 2: A1A2
bbbb--
bb-b-b
-----w
-ww---
-www-w
-www-w

step 19 >> player 1: B3B4
bbbb--
bb-b-b
-w---w
--w---
-www-w
-www-w

step 20 >> player 2: F2E3
bbbb--
-b-b-b
-b---w
--w---
-www-w
-www-w

step 21 >> player 1: C3B4
bbbb--
-b-b-b
-w---w
------
-www-w
-www-w

step 22 >> player 2: D1D2
bb-b--
-bbb-b
-w---w
------
-www-w
-www-w

step 23 >> player 1: B4A5
bb-b--
wbbb-b
-----w
------
-www-w
-www-w

step 24 >> player 2: FINAL: -112
E1F2
b--b--
bbbb-b
-----w
------
-www-w
-www-w

step 25 >> player 1: B2A3
b--b--
bbbb-b
-----w
w-----
--ww-w
-www-w

step 26 >> player 2: D2D3
b--b--
bb-b-b
--b--w
w-----
--ww-w
-www-w

step 27 >> player 1: C2C3
b--b--
bb-b-b
--b--w
w-w---
---w-w
-www-w

step 28 >> player 2: F2F3
b--b--
-b-b-b
b-b--w
w-w---
---w-w
-www-w

step 29 >> player 1: A3B4
b--b--
-b-b-b
bwb--w
--w---
---w-w
-www-w

step 30 >> player 2: F3E4
b--b--
-b-b-b
-wb--w
-bw---
---w-w
-www-w

step 31 >> player 1: B4A5
b--b--
wb-b-b
--b--w
-bw---
---w-w
-www-w

step 32 >> player 2: FINAL: -1000000
E4D5
b--b--
wb-b-b
--b--w
--w---
--bw-w
-www-w

step 33 >> player 1: A5B6
bw-b--
-b-b-b
--b--w
--w---
--bw-w
-www-w

Player 1 wins!