12.88/3.81 MAYBE 12.88/3.81 12.88/3.81 Problem: 12.88/3.81 lt(x, 0()) -> false() 12.88/3.81 lt(0(), s(x)) -> true() 12.88/3.81 lt(s(x), s(y)) -> lt(x, y) 12.88/3.81 m(0(), s(y)) -> 0() 12.88/3.81 m(x, 0()) -> x 12.88/3.81 m(s(x), s(y)) -> m(x, y) 12.88/3.81 gcd(x, x) -> x 12.88/3.81 gcd(s(x), 0()) -> s(x) 12.88/3.81 gcd(0(), s(y)) -> s(y) 12.88/3.81 gcd(s(x), s(y)) -> gcd(m(x, y), s(y)) <= lt(y, x) = true() 12.88/3.81 gcd(s(x), s(y)) -> gcd(s(x), m(y, x)) <= lt(x, y) = true() 12.88/3.81 12.88/3.81 Proof: 12.88/3.81 ConCon could not decide confluence of the system. 12.88/3.81 \cite{ALS94}, Theorem 4.1 does not apply. 12.88/3.81 ConCon could not decide whether all 6 critical pairs are joinable or not. 12.88/3.81 CP: gcd(s(x), m(x, x)) = s(x) <= lt(x, x) = true(): 12.88/3.81 ConCon could not decide infeasibility of this critical pair. 12.88/3.81 12.88/3.84 EOF