Termination w.r.t. Q proof of TRS/Rubiobn122.trs

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:

plus(plus(X, Y), Z) → plus(X, plus(Y, Z))
times(X, s(Y)) → plus(X, times(Y, X))

Q is empty.

↳ QTRS

  ↳ DirectTerminationProof

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

plus(plus(X, Y), Z) → plus(X, plus(Y, Z))
times(X, s(Y)) → plus(X, times(Y, X))

Q is empty.

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

Recursive path order with status [2].
Precedence:

times₂ > plus₂
s₁ > plus₂

Status:

plus₂: [1,2]
s₁: multiset
times₂: multiset