That is impossible.
1. The html is broken (no form tags), which is why there is no default form, to be set as default, or for you to select (via $mech->form_name or $mech->form_number), and why $mech->click doesn't work. This is a bug in WWW::Mechanize, it should throw a useful error messages, example
use WWW::Mechanize; $ua=WWW::Mechanize->new; $ua->get('http://search.cpan.org');#got a form warn $ua->forms; warn $ua->submit; $ua->get('http://cpan.org');#no forms here warn $ua->forms; warn $ua->submit; #dies here __END__ HTML::Form=HASH(0x1d76ca0) at - line 6. HTTP::Response=HASH(0x1d77114) at - line 7. Warning: something's wrong at - line 9. Can't call method "make_request" on an undefined value at D:/Perl/site +/lib/WWW/Mechanize.pm line 1641.
2. Clicking the button calls javascript, which is not supported (see WWW::Mechanize::FAQ). Besides, the javascript only redirects to rebootinfo.cgi (and it does that with eval -- whoever wrote this should be shot).

In reply to Re^3: Can't call method "click" on an undefined value by Anonymous Monk
in thread Can't call method "click" on an undefined value by neoanantha

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