What's the penalty for breaking the contract?
If you are offering to pay in lieu of your remaining contract,
what's wrong? Just walk out lor. If they sue, the worst thing that
will happen to you is just to pay what's stated in the contract,
and at most the lawyer and court fees. But the thing is, you
have already agreed to pay in lieu, so there's no case for them at
all, and the court would most likely not accept the lawsuit
too.
If they are willing to go through the big trouble just for a
paltry sum, then let them do it. No loss to you since you have
another job ready.
How can any contract bind a person physically?
Refer to MOM website:
http://www.mom.gov.sg/publish/momportal/en/communities/workplace_standards/employment_standards0/Contract_of_Service.html#terminating
An employer cannot reject an employee's resignation. The employee
has the right to resign at any time by serving the required notice
or by compensating the employer salary in-lieu of notice.
Failure of the employer to allow an employee to leave his service
is an offence. The employer shall be liable on conviction to
a fine not exceeding $5,000 or to imprisonment for a term not
exceeding six months or to both.
Threaten back your current employer instead.