'Weak Dependency Graph [60.0]' ------------------------------ Answer: YES(?,O(1)) Input Problem: innermost runtime-complexity with respect to Rules: { p(f(f(x))) -> q(f(g(x))) , p(g(g(x))) -> q(g(f(x))) , q(f(f(x))) -> p(f(g(x))) , q(g(g(x))) -> p(g(f(x)))} Details: We have computed the following set of weak (innermost) dependency pairs: { p^#(f(f(x))) -> c_0(q^#(f(g(x)))) , p^#(g(g(x))) -> c_1(q^#(g(f(x)))) , q^#(f(f(x))) -> c_2(p^#(f(g(x)))) , q^#(g(g(x))) -> c_3(p^#(g(f(x))))} The usable rules are: {} The dependency graph contains no edges. We are done: the estimated dependency graph contains no edges and moreover, the usable rules are empty.