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The nohup utility invokes command with its arguments and at this time sets the signal SIGHUP to be ignored. If the standard output is a terminal, the standard output is appended to the file nohup.out in the current directory. If standard error is a terminal, it is directed to the same place as the standard output.

macbook-sts:~ stefan$ nohup ant coremediaServerExport &
macbook-sts:~ stefan$ tail -f nohup.out
macbook-sts:~ stefan$ exit

script makes a typescript of everything printed on your terminal.

macbook-sts:~ stefan$ script
Script started, file is typescript
macbook-sts:~ stefan$ 
macbook-sts:~ stefan$ 
macbook-sts:~ stefan$ [commands...]
macbook-sts:~ stefan$ 
macbook-sts:~ stefan$ 
macbook-sts:~ stefan$ exit
exit
Script done, file is typescript
macbook-sts:~ stefan$