Termination w.r.t. Q of the following Term Rewriting System could be proven:

Q restricted rewrite system:
The TRS R consists of the following rules:

d(x) → e(u(x))
d(u(x)) → c(x)
c(u(x)) → b(x)
v(e(x)) → x
b(u(x)) → a(e(x))

Q is empty.


QTRS
  ↳ DirectTerminationProof

Q restricted rewrite system:
The TRS R consists of the following rules:

d(x) → e(u(x))
d(u(x)) → c(x)
c(u(x)) → b(x)
v(e(x)) → x
b(u(x)) → a(e(x))

Q is empty.

We use [23] with the following order to prove termination.

Recursive path order with status [2].
Precedence:
d1 > u1 > e1 > a1
d1 > u1 > c1 > a1
d1 > u1 > b1 > a1
v1 > a1

Status:
a1: multiset
u1: multiset
v1: multiset
b1: multiset
d1: multiset
c1: multiset
e1: multiset