Probably aGC should read something like "even(x) /\ Ap1p2[(prime(p1) /\ prime(p2)) -> (p1+p2 < x \/ x < p1+p2)]" so that cGC would mean "there are infinitely many nonnegative even numbers not the sum of two primes". Presumably this is false, but this has not yet been proven!
Fixing it?
Probably aGC should read something like "even(x) /\ Ap1p2[(prime(p1) /\ prime(p2)) -> (p1+p2 < x \/ x < p1+p2)]" so that cGC would mean "there are infinitely many nonnegative even numbers not the sum of two primes". Presumably this is false, but this has not yet been proven!