What does your engine say here? 

This is what my Rybka 2.2 32 bit says. It shows +1.38 for white but the moves which it says do not lead to a win. After f5 Bc7 f6 + Kf7 both the sides just keep moving the bishop back and forth. 

The correct move here may be b4!? which perhaps cannot be found by engine. 

This is another example

http://www.chess.com/forum/view/more-puzzles/can-your-computer-solve-this

With regard to post #1.

My rig does find b4 but took 11 minutes and needed depth 33:

With regard to post #3:

My rig could not figure that one out, even when I showed it the first couple of moves.

turn off null move pruning (disable null moves), and then try it.

also, try Komodo 3 64 in addition to houdini to solve the puzzles.

edit: also try zappa mexico II with null moves enabled.

put this one in for your engine to find:

2b1rk2/5p2/p1P5/2p2P2/2p5/7B/P7/2KR4 w - - 0 1

1.f6! is the answer.