```* Step 1: Bounds WORST_CASE(?,O(n^1))
+ Considered Problem:
- Strict TRS:
f(0()) -> 0()
f(s(x)) -> s(s(f(p(s(x)))))
p(s(x)) -> x
- Signature:
{f/1,p/1} / {0/0,s/1}
- Obligation:
innermost runtime complexity wrt. defined symbols {f,p} and constructors {0,s}
+ Applied Processor:
Bounds {initialAutomaton = minimal, enrichment = match}
+ Details:
The problem is match-bounded by 1.
The enriched problem is compatible with follwoing automaton.
0_0() -> 1
0_0() -> 2
0_0() -> 5
0_1() -> 1
0_1() -> 4
f_0(2) -> 1
f_1(5) -> 4
p_0(2) -> 1
p_1(6) -> 5
s_0(2) -> 1
s_0(2) -> 2
s_0(2) -> 5
s_1(2) -> 6
s_1(3) -> 1
s_1(3) -> 4
s_1(4) -> 3
2 -> 1
2 -> 5
* Step 2: EmptyProcessor WORST_CASE(?,O(1))
+ Considered Problem:
- Weak TRS:
f(0()) -> 0()
f(s(x)) -> s(s(f(p(s(x)))))
p(s(x)) -> x
- Signature:
{f/1,p/1} / {0/0,s/1}
- Obligation:
innermost runtime complexity wrt. defined symbols {f,p} and constructors {0,s}
+ Applied Processor:
EmptyProcessor
+ Details:
The problem is already closed. The intended complexity is O(1).

WORST_CASE(?,O(n^1))
```