NO
proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


Termination of the given GTRS could be disproven:

(0) GTRS
(1) CritRuleProof [COMPLETE, 1 ms]
(2) NO


----------------------------------------

(0)
Obligation:
Generalized rewrite system (where rules with free variables on rhs are allowed):
The TRS R consists of the following rules:

   hd(cons) -> X
   tl(cons) -> Y
   nats -> adx(zeros)
   zeros -> cons
   incr(cons) -> cons
   adx(cons) -> incr(cons)


----------------------------------------

(1) CritRuleProof (COMPLETE)
The rule hd(cons) -> X contains free variables in its right-hand side. Hence the TRS is not-terminating.
----------------------------------------

(2)
NO