Remove repeated ALT allele from the REF field of a vcf-like file
I am making a couple of assumptions here: 


the delimiter is tab
the reference allele is always present in the ALT column
the reference allele in the ALT column is always in the first position


With those in mind, you can do this using awk as follows: 

awk 'BEGIN{FS="\t";OFS="\t"}{$3=substr($3,2)}{print $0}'


Update 1: Using the new VCF style file that @Angel provided, here's how I would do it. This is not significantly different from what @terdon proposed below. The code below will work even if the reference allele is >1 nt.

$ cat test.vcf
#CHROM  POS     ID      REF     ALT
chr4    5708160 .       G       GATAAC
chr4    30280292        .       C       CACGTAT
chr6    166253422       .       C       CCTTTCT
chr11   21931340        .       A       AACACACGC

$ awk 'BEGIN{FS="\t";OFS="\t"}{l=length($4); if ($4==substr($5,1,l)) {$5=substr($5,l+1); print $0} else {print $0}}' test.vcf
#CHROM  POS     ID      REF     ALT
chr4    5708160 .       G       ATAAC
chr4    30280292        .       C       ACGTAT
chr6    166253422       .       C       CTTTCT
chr11   21931340        .       A       ACACACGC