Mediates the conversion of cyclohexane-1-carbonyl-CoA into cyclohex-1-ene-1-carbonyl-CoA in biosynthesis of cyclohexane-1-carboxylate, a by-product produced during fermentation of benzoate and crotonate to acetate. cyclohexane-1-carbonyl-CoA + H(+) + oxidized [electron-transfer flavoprotein] = cyclohex-1-ene-1-carbonyl-CoA + reduced [electron-transfer flavoprotein] Homotetramer. Belongs to the acyl-CoA dehydrogenase family.