Why does routing stop working on the Cisco test bench?

Question

Cisco

Good day. I will try to describe as detailed as possible.

There is a test bench from switches 3750 and 2960. Vlan
10, 20 are created, extend by means of vtp.
Created 2 dhcp pools vlan10 (192.168.10.0) and vlan20 (192.168.20.0) address lease 30 days
Access via ssh is also configured, but I think this does not play a role.

A host from one vlan sees a host from another and vice versa.

So the problem is that after some time (several hours) routing between vlans disappears and even the gateway pings from the second packet, as if the routing table is overwritten to zero.
Only sticking each host into another vlan helps (roughly swap hosts). After that, everyone sees each other, gateways and interfaces respond well, but after a while everything disappears again.

Can you tell me what could be the reason? Maybe something is not configured correctly?
If necessary, I will bring the configs.
Links to configs
https://pastebin.com/S2Y2VdCB - 2960
https://pastebin.com/hxwmkdBj - 3750