Here's that debug log

debug.txt

Bringing machine 'default' up with 'virtualbox' provider...
[default] VirtualBox VM is already running.
Bringing machine 'default' up with 'virtualbox' provider...
[default] Importing base box 'precise32'...

[default] Matching MAC address for NAT networking...
[default] Setting the name of the VM...
[default] Clearing any previously set forwarded ports...
[default] Clearing any previously set network interfaces...
[default] Preparing network interfaces based on configuration...
[default] Forwarding ports...
[default] -- 22 => 2222 (adapter 1)
[default] Booting VM...
[default] Waiting for machine to boot. This may take a few minutes...
[default] Machine booted and ready!
[default] The guest additions on this VM do not match the installed version of
VirtualBox! In most cases this is fine, but in rare cases it can
prevent things such as shared folders from working properly. If you see
shared folder errors, please make sure the guest additions within the
virtual machine match the version of VirtualBox you have installed on
your host and reload your VM.

Guest Additions Version: 4.2.0
VirtualBox Version: 4.3
[default] Mounting shared folders...
[default] -- /vagrant

vagrant-debug-issue-3024.bat

:: After I ran this command
vagrant destroy
:: I ran this command
vagrant up --debug >> C:\Users\sisyphus\Desktop\debug.txt
:: Which outputted this
more debug.txt
:: =>
:: Bringing machine 'default' up with 'virtualbox' provider...
:: [default] VirtualBox VM is already running.
:: Bringing machine 'default' up with 'virtualbox' provider...
:: [default] Importing base box 'precise32'...

:: [default] Matching MAC address for NAT networking...
:: [default] Setting the name of the VM...
:: [default] Clearing any previously set forwarded ports...
:: [default] Clearing any previously set network interfaces...
:: [default] Preparing network interfaces based on configuration...
:: [default] Forwarding ports...
:: [default] -- 22 => 2222 (adapter 1)
:: [default] Booting VM...
:: [default] Waiting for machine to boot. This may take a few minutes...
:: [default] Machine booted and ready!
:: [default] The guest additions on this VM do not match the installed version of
:: VirtualBox! In most cases this is fine, but in rare cases it can
:: prevent things such as shared folders from working properly. If you see
:: shared folder errors, please make sure the guest additions within the
:: virtual machine match the version of VirtualBox you have installed on
:: your host and reload your VM.

:: Guest Additions Version: 4.2.0
:: VirtualBox Version: 4.3
:: [default] Mounting shared folders...
:: [default] -- /vagrant

:: After that, I tried this
vagrant ssh
:: And got this
:: `ssh` executable not found in any directories in the %PATH% variable. Is an
:: SSH client installed? Try installing Cygwin, MinGW or Git, all of which
:: contain an SSH client. Or use the PuTTY SSH client with the following
:: authentication information shown below:
:: 
:: Host: 127.0.0.1
:: Port: 2222
:: Username: vagrant
:: Private key: C:/Users/sisyphus/.vagrant.d/insecure_private_key

:: Even though I have both Cygwin (without SSH) and PuTTY installed