assuming you have a current version of IM at least 6.5.3-4, then you 
can replace the composite -dissolve with convert -compose dissolve 
... -composite and then chain all the converts as follows:


convert background.png \
\( layer-1.png -transparent white \) \
-compose dissolve -set option:compose:args 50,100 -composite \
\( layer-2.png -transparent white \) \
-compose dissolve -set option:compose:args 50,100 -composite \
\( layer-3.png -transparent white \) \
-compose dissolve -set option:compose:args 50,100 -composite \
\( top.png -transparent white \) \
-compose over -layers merge out.png

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