How to split a list based on pattern

I am trying to split a list based on pattern of some elements of the list.

list = {a^(-1-x1),b^(-x2), (a+b)^(-x3), (1-a)^(-1+x4),(1-b)^(-1), (1+a b)}

I want to split the list into two based on a pattern given as a list. I am using SequenceCases to achieve that. However it does not work for more than two patterns given as a list.

 pattern = {Power(a,x_),Power(b,y_),Power(1-a,z_)};
 list1=SequenceCases(list,pattern)
 

whose output (expected) should be

 list1={a^(-1-x1),b^(-x2), (1-a)^(-1+x4)}
 list2={(a+b)^(-x3),(1-b)^(-1), (1+a b)}

Note that I do not want to split the list based on position of elements, rather based on certain pattern/members of the list.

Additionally I wanted to ask if there is any easier way to find all the elements which have negative exponent (assuming all non-numeric variables in the exponent are 0.).

 {a^(-1-x1), (1-a)^(-1+x4), (1-b)^(-1)}

I can perform a Do loop through the elements of the list, however it would be nice to know if there is any better alternative.