CORE Dumps On Several Sites with Jetpack/W3 Total Cache/Builder Themes

Opening tickets with all three vendors involved here.

Running
v. 4.2.2 of Jetpack
v. 0.9.4.1 of W3 Total Cache
v. 5.1.5 of Builder

Several of my sites are getting CORE dumps since around 9:00 PM on August 30 (Central Time). I believe that the time coincides with a reboot of the server, but not sure why that would coincide with this. I conducted monthly maintenance on all of my sites this past Sunday night (8/28). I have not upgraded any plugins, themes, or WordPress Core since then.

My temporary solution to this is to deactivate JetPack.

Hosted at A2 Hosting.
Running CentOS 6.7 (2.6.32-042stab108.2)
PHP 5.5.24

The dumps occur primarily when:
Running wp-cron.php
Running wp-admin/admin-ajax.php
When logging into the site (after entering password)
When accessing the Jetpack Settings page
When activating or deactivating any plugins or individual settings of Jetpack (also, when activating or deactivating plugins OR individual settings of Jetpack, I end up on a 404 page)
When running some other backend activities such as backups (using BackupBuddy).

If I deactivate Jetpack, all of these issues go away.
If I deactivate W3 Total Cache, all of these issues go away.
If I switch to the Twenty Fifteen theme, all of these issues go away.

I have found that the following minimal configuration precipitates the issue on one of the sites:

Jetpack
W3 Total Cache
iThemes Builder Theme (I’m specifically using the City Church child theme)

The following lists are from one of the sites.

Plugin list:

+——————————–+——–+———–+———+
| name | status | update | version |
+——————————–+——–+———–+———+
| backupbuddy | active | none | 7.1.6.0 |
| builder-style-manager | active | none | 0.7.15 |
| carousel | active | none | 2.0.30 |
| easy-theme-and-plugin-upgrades | active | none | 2.0.0 |
| google-analytics-async | active | none | 3.1.5.1 |
| gravityforms | active | none | 2.0.6 |
| ithemes-security-pro | active | available | 2.9.0 |
| ithemes-sync | active | available | 1.13.0 |
| jetpack | active | none | 4.2.2 |
| rotating-images | active | none | 1.3.7 |
| rotatingtext | active | none | 1.0.41 |
| ultimate-branding | active | none | 1.8.2 |
| user-switching | active | none | 1.0.9 |
| videoshowcase | active | none | 1.1.69 |
| w3-total-cache | active | none | 0.9.4.1 |
| wpmudev-updates | active | none | 4.1.2 |
| wp-robots-txt | active | none | 1.1 |
| wp-smush-pro | active | none | 2.4.5 |
| wordpress-seo | active | none | 3.4.2 |
+——————————–+——–+———–+———+
Theme List:

+————————–+———-+——–+———+
| name | status | update | version |
+————————–+———-+——–+———+
| Builder | parent | none | 5.1.5 |
| BuilderChild-City-Church | active | none | 4.0.3 |
| BuilderChild-Default | inactive | none | 4.0.1 |
| twentyfifteen | inactive | none | 1.6 |
+————————–+———-+——–+———+

Some of the dumps appear in the root folder, and some in the wp-admin folder. Have also seen some in a plugin folder as well on another site (jquery-t-countdown-widget/js/).

Thanks in advance,

Art Smith
Ambrosia Web Technology

https://www.ads-software.com/plugins/w3-total-cache/