MAYBE * Step 1: Failure MAYBE + Considered Problem: - Strict TRS: active(cons(X1,X2)) -> cons(active(X1),X2) active(f(X)) -> f(active(X)) active(f(0())) -> mark(cons(0(),f(s(0())))) active(f(s(0()))) -> mark(f(p(s(0())))) active(p(X)) -> p(active(X)) active(p(s(X))) -> mark(X) active(s(X)) -> s(active(X)) cons(mark(X1),X2) -> mark(cons(X1,X2)) cons(ok(X1),ok(X2)) -> ok(cons(X1,X2)) f(mark(X)) -> mark(f(X)) f(ok(X)) -> ok(f(X)) p(mark(X)) -> mark(p(X)) p(ok(X)) -> ok(p(X)) proper(0()) -> ok(0()) proper(cons(X1,X2)) -> cons(proper(X1),proper(X2)) proper(f(X)) -> f(proper(X)) proper(p(X)) -> p(proper(X)) proper(s(X)) -> s(proper(X)) s(mark(X)) -> mark(s(X)) s(ok(X)) -> ok(s(X)) top(mark(X)) -> top(proper(X)) top(ok(X)) -> top(active(X)) - Signature: {active/1,cons/2,f/1,p/1,proper/1,s/1,top/1} / {0/0,mark/1,ok/1} - Obligation: innermost runtime complexity wrt. defined symbols {active,cons,f,p,proper,s,top} and constructors {0,mark ,ok} + Applied Processor: Ara {heuristics_ = NoHeuristics, minDegree = 1, maxDegree = 3, araTimeout = 60, araFindStrictRules = Nothing, araSmtSolver = MiniSMT} + Details: The input can not be schown compatible. MAYBE