K1p
K2p, is valid in KT45n, but K1p
K2p
C{1,2}p is not, ie. agents 1 and 2 both knowing p does NOT make it common knowledge among the two of them. In the following KT45n model, world x satisfies K1p
K2p. If it also satisfied C{1,2}p then K1 K2p would also be true at world x, but K1 K2p is clearly false at x.