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Obviously the spikes are produced by the No-name Schmitt Trigger that has no power supply to clamp its output level.
SPICE mixed signal simulation is notoriously bad. Here's an example from Altium:...The best solution is to use an analog (transistor level simulation or behavioral equivalent) model, but this does slow down the simulation a bit, and is impractical with more than a few gates.Tim
You could try using the 555 timer model for the schmitt trigger, but it's inverting, so you'd need two in series, if that's an issue.
My old version of LT doesn't show it.Setting the 'Max Timestep' in 'Edit Simulation Cmd.' to about 25n should fix it.