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##C(a,b)-C(b,c)+C(a,c)=\int A(a,s)B(b,s)-A(b,s)B(c,s)+A(a,s)B(c,s)ds##

This uses the renaming of the parameter s. In a "Refutation of Bell's theorem" by Adenier, it is said that the parameter s should in fact be different in each covariance (due to the fact that classically s could represent the photon polarization and that it cannot be in 3 places at a time).

Was this checked by measuring experimentally by comparing the average of the product of the covariances ##\int ds A(a,s)B(b,s)A(b,s)B(c,s)A(a,s)B(c,s)ds##

##\int dsdtdu A(a,s)B(b,s)A(b,t)B(c,t)A(a,u)B(c,u)ds##

?