@misc{cogprints414, month = {July}, title = {A Tough Nut for Proof Procedures}, author = {John McCarthy}, year = {1964}, url = {http://cogprints.org/414/}, abstract = {It is well known to be impossible to tile with dominoes a checkerboard with two opposite corners deleted. This fact is readily stated in the first order predicate calculus, but the usual proof which involves a parity and counting argument does not readily translate into predicate calculus. We conjecture that this problem will be very difficult for programmed proof procedures,.} }