### (0) Obligation:

Runtime Complexity TRS:

The TRS R consists of the following rules:

f(h(x)) → f(i(x))

f(i(x)) → a

i(x) → h(x)

Rewrite Strategy: FULL

### (1) InfiniteLowerBoundProof (EQUIVALENT transformation)

The loop following loop proves infinite runtime complexity:

The rewrite sequence

f(h(x)) →^{+} f(h(x))

gives rise to a decreasing loop by considering the right hand sides subterm at position [].

The pumping substitution is [ ].

The result substitution is [ ].

### (2) BOUNDS(INF, INF)