Player 1 - Try to see the illogical logically
Player 2 - Path finder... game for summer, version 2.0 
============================

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

step 2 >> player 2: E2E3
bbbbbb
b-bbbb
-b----
----w-
wwwww-
wwwwww

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

step 4 >> player 2: F1E2
-bbbbb
bbbbbb
-b----
----w-
wwwwww
wwwww-

step 5 >> player 1: C2C3
-bbbbb
bbbbbb
-b----
--w-w-
ww-www
wwwww-

step 6 >> player 2: E2D3
-bbbbb
b-bbbb
-bb---
--w-w-
ww-www
wwwww-

step 7 >> player 1: B1C2
-bbbbb
b-bbbb
-bb---
--w-w-
wwwwww
w-www-

step 8 >> player 2: E1E2
--bbbb
bbbbbb
-bb---
--w-w-
wwwwww
w-www-

step 9 >> player 1: A2B3
--bbbb
bbbbbb
-bb---
-ww-w-
-wwwww
w-www-

step 10 >> player 2: D3E4
--bbbb
bbbbbb
-b----
-bw-w-
-wwwww
w-www-

step 11 >> player 1: C2B3
--bbbb
bbbbbb
-b----
-ww-w-
-w-www
w-www-

step 12 >> player 2: B2B3
--bbbb
bbbb-b
-b--b-
-ww-w-
-w-www
w-www-

step 13 >> player 1: C1C2
--bbbb
bbbb-b
-b--b-
-ww-w-
-wwwww
w--ww-

step 14 >> player 2: A1B2
--bbb-
bbbbbb
-b--b-
-ww-w-
-wwwww
w--ww-

step 15 >> player 1: C3B4
--bbb-
bbbbbb
-w--b-
-w--w-
-wwwww
w--ww-

step 16 >> player 2: A2A3
--bbb-
bbbbb-
-w--bb
-w--w-
-wwwww
w--ww-

step 17 >> player 1: B4A5
--bbb-
wbbbb-
----bb
-w--w-
-wwwww
w--ww-

step 18 >> player 2: B1A2
--bb--
wbbbbb
----bb
-w--w-
-wwwww
w--ww-

step 19 >> player 1: A5A6
w-bb--
-bbbbb
----bb
-w--w-
-wwwww
w--ww-

Player 1 wins!