remove known sample from audio

Hello,
What is the best way to subtract a known sample from given audio i.e.
extract/reconstruct the original.wav from final.wav when final.wav has been
created with commands:

sox knownsample.wav knownsample_delay_gain.wav pad <X> 0 vol <Y>
sox -m original.wav knownsample_delay_gain.wav final.wav

original.wav is not anymore available. knownsample.wav and final.wav are
available. pad delay and the vol parameter are known _roughly_ (X =~10ms,
Y=~0.1)

regards, Mikk00

PS1, I can reconstruct the original with the process below but this method
is very cumbersome:
repeat {
come up with some guessed X and Y
sox knownsample.wav knownsample_delay_gain.wav pad <X> 0 vol -<Y> // is
also inverted
sox -m -v 1 original.wav -v 1 knownsample_delay_gain.wav final.wav stat
} until RMS amplitude reported by stat has reached local minimum
I am after more streamlined way to remove known sample from given audio.

PS2, The original problem is a two musical instruments recorded
simultaneously in the same space. They have their own mics but the other
instrument is audible in each recording. I want to remove the "wrong
instrument" from each recording and have clean audio for both instruments.

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