YES(?,POLY) 'Pop* with parameter subtitution (timeout of 60.0 seconds)' ----------------------------------------------------------- Answer: YES(?,POLY) Input Problem: innermost runtime-complexity with respect to Rules: {a(b(x)) -> b(b(a(x)))} Proof Output: The input was oriented with the instance of POP* as induced by the precedence empty and safe mapping safe(a) = {}, safe(b) = {1} . For your convenience, here is the input in predicative notation: Rules: {a(b(; x);) -> b(; b(; a(x;)))}