Player 1 - Try to see the illogical logically
Player 2 - PT's breakthrough agent
============================

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

step 2 >> player 2: B2C3
bbbbbb
bbbb-b
---b--
----w-
wwwww-
wwwwww

step 3 >> player 1: A2B3
bbbbbb
bbbb-b
---b--
-w--w-
-wwww-
wwwwww

step 4 >> player 2: C2D3
bbbbbb
bbb--b
--bb--
-w--w-
-wwww-
wwwwww

step 5 >> player 1: B3C4
bbbbbb
bbb--b
--wb--
----w-
-wwww-
wwwwww

step 6 >> player 2: E2D3
bbbbbb
b-b--b
--bb--
----w-
-wwww-
wwwwww

step 7 >> player 1: B2B3
bbbbbb
b-b--b
--bb--
-w--w-
--www-
wwwwww

step 8 >> player 2: C3C4
bbbbbb
b-b--b
--b---
-w-bw-
--www-
wwwwww

step 9 >> player 1: E2D3
bbbbbb
b-b--b
--b---
-w-ww-
--ww--
wwwwww

step 10 >> player 2: D2E3
bbbbbb
b----b
-bb---
-w-ww-
--ww--
wwwwww

step 11 >> player 1: D3C4
bbbbbb
b----b
-bw---
-w--w-
--ww--
wwwwww

step 12 >> player 2: B1C2
bbbb-b
b--b-b
-bw---
-w--w-
--ww--
wwwwww

step 13 >> player 1: A1B2
bbbb-b
b--b-b
-bw---
-w--w-
-www--
-wwwww

step 14 >> player 2: D1E2
bb-b-b
bb-b-b
-bw---
-w--w-
-www--
-wwwww

step 15 >> player 1: C4B5
bb-b-b
bw-b-b
-b----
-w--w-
-www--
-wwwww

step 16 >> player 2: F1E2
-b-b-b
bb-b-b
-b----
-w--w-
-www--
-wwwww

step 17 >> player 1: F1E2
-b-b-b
bb-b-b
-b----
-w--w-
-wwww-
-wwww-

step 18 >> player 2: C2D3
-b-b-b
bb---b
-bb---
-w--w-
-wwww-
-wwww-

step 19 >> player 1: B3C4
-b-b-b
bb---b
-bw---
----w-
-wwww-
-wwww-

step 20 >> player 2: E2D3
-b-b-b
b----b
-bb---
----w-
-wwww-
-wwww-

step 21 >> player 1: D2D3
-b-b-b
b----b
-bb---
---ww-
-ww-w-
-wwww-

step 22 >> player 2: D3D4
-b-b-b
b----b
-b----
--bww-
-ww-w-
-wwww-

step 23 >> player 1: D3C4
-b-b-b
b----b
-bw---
--b-w-
-ww-w-
-wwww-

step 24 >> player 2: A2B3
-b-b-b
b-----
-bw-b-
--b-w-
-ww-w-
-wwww-

step 25 >> player 1: C4B5
-b-b-b
bw----
-b--b-
--b-w-
-ww-w-
-wwww-

step 26 >> player 2: F2F3
-b-b-b
-w----
bb--b-
--b-w-
-ww-w-
-wwww-

step 27 >> player 1: B5A6
wb-b-b
------
bb--b-
--b-w-
-ww-w-
-wwww-

Player 1 wins!