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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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, 0 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:

   U12(tt) -> s(plus(N, M))
   U22(tt) -> plus(x(N, M), N)
   U11(tt) -> U12(tt)
   U21(tt) -> U22(tt)
   plus(N, 0) -> N
   plus(N, s(M)) -> U11(tt)
   x(N, 0) -> 0
   x(N, s(M)) -> U21(tt)


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

(1) CritRuleProof (COMPLETE)
The rule U12(tt) -> s(plus(N, M)) contains free variables in its right-hand side. Hence the TRS is not-terminating.
----------------------------------------

(2)
NO