YES

The TRS could be proven terminating. The proof took 47 ms.

The following DP Processors were used


Problem 1 was processed with processor DependencyGraph (2ms).

Problem 1: DependencyGraph



Dependency Pair Problem

Dependency Pairs

T(zeros) → zeros#tail#(cons(X, XS)) → T(XS)

Rewrite Rules

zeros → cons(0, zeros)tail(cons(X, XS)) → XS

Original Signature

Termination of terms over the following signature is verified: 0, zeros, tail, cons

Strategy

Context-sensitive strategy:
μ(T) = μ(0) = μ(zeros) = μ(zeros#) = ∅
μ(tail#) = μ(tail) = μ(cons) = {1}


There are no SCCs!