Maybe you can adapt something like this...
use warnings;
use strict;
my %log;
while (my $line = <DATA>){
chomp $line;
next unless length $line;
my ($event, $time) = split / at /, $line;
push @{$log{$event}}, $time;
}
for my $key (keys %log){
print $key, ${$log{$key}}[0] ? " at ${$log{$key}}[0]" : '';
print "\nThe above event occurred ", $#{$log{$key}}, " additional
+times.\n";
}
__DATA__
User logged in successfully at 10:35:33
User logged in successfully at 10:35:34
User logged in successfully at 10:35:35
Error: Login failure!
User logged in successfully at 10:35:37
Error: Login failure!
Error: System failure at 01:23:22
Error: System failure at 01:23:40
User logged in successfully at 10:35:39
Error: System failure at 01:23:41
Yields: (on my system, output order may vary.)
Error: Login failure!
The above event occurred 1 additional times.
Error: System failure at 01:23:22
The above event occurred 2 additional times.
User logged in successfully at 10:35:33
The above event occurred 4 additional times.
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