Lol. After trying to avoid posting here I am again!

Is it worth finding out if there is an affair going on in order to possibly reduce spousal support? I am stuck as I do want to reconcile and don't want my kids suffering when they are with her due to lack of quality living or lack of money but I also do not think she should get anything of she has lied this long and is pushing this for another relationship.

M 37
W 34

T 12
M 8
D 7
S 4

Need break 4/12/15
W no ring 7/7/15

Separate room 4/12/15
Separate living suggested 8/15
W moved out 11/1/15