NO Termination proof of ex1.trs

(0) Obligation:

Relative term rewrite system:
The relative TRS consists of the following R rules:

ab

The relative TRS consists of the following S rules:

ba

(1) RelTRSLoopFinderProof (COMPLETE transformation)

The following loop was found:

---------- Loop: ----------

ba with rule ba at position [] and matcher [ ]

ab with rule ab at position [] and matcher [ ]

Now an instance of the first term with Matcher [ ] occurs in the last term at position [].

Context: []

Therefore, the relative TRS problem does not terminate.

(2) NO