NO
proof of Transformed_CSR_04_ExIntrod_GM04_L.trs
# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 jera 20211004 unpublished


Termination of the given GTRS could be disproven:

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


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(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)


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(1) CritRuleProof (COMPLETE)
The rule hd(cons) -> X contains free variables in its right-hand side. Hence the TRS is not-terminating.
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(2)
NO