BreakDancer output gives the following files: CFG, CTX, BED and OUT.
How can I find the 'split-reads' output from these files?
Is there a way to infer that from the supporting reads?
No, the BreakDancer program does not have any concept of split reads. You could attempt to assemble a putative breakpoint (with TIGRA or another assemble) and map the reads back to the contigs to recover breakpoint supporting reads.