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:
:(:(:(:(C, x), y), z), u) → :(:(x, z), :(:(:(x, y), z), u))
Q is empty.
↳ QTRS
↳ DirectTerminationProof
Q restricted rewrite system:
The TRS R consists of the following rules:
:(:(:(:(C, x), y), z), u) → :(:(x, z), :(:(:(x, y), z), u))
Q is empty.
We use [23] with the following order to prove termination.
Recursive path order with status [2].
Precedence:
C > :2
Status:
:2: [1,2]
C: multiset