/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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NO
proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty


Outermost Termination of the given OTRS could be disproven:

(0) OTRS
(1) OutermostNonTerminationProof [COMPLETE, 65 ms]
(2) NO


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(0)
Obligation:
Term rewrite system R:
The TRS R consists of the following rules:

   g(X) -> h(activate(X))
   c -> d
   h(n__d) -> g(n__c)
   d -> n__d
   c -> n__c
   activate(n__d) -> d
   activate(n__c) -> c
   activate(X) -> X



Outermost Strategy.

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(1) OutermostNonTerminationProof (COMPLETE)
Term rewrite system R:
The TRS R consists of the following rules:

   g(X) -> h(activate(X))
   c -> d
   h(n__d) -> g(n__c)
   d -> n__d
   c -> n__c
   activate(n__d) -> d
   activate(n__c) -> c
   activate(X) -> X



Outermost Strategy.

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

h(activate(n__c)) -> h(c) with rule activate(n__c) -> c at position [0] and matcher [ ]

h(c) -> h(d) with rule c -> d at position [0] and matcher [ ]

h(d) -> h(n__d) with rule d -> n__d at position [0] and matcher [ ]

h(n__d) -> g(n__c) with rule h(n__d) -> g(n__c) at position [] and matcher [ ]

g(n__c) -> h(activate(n__c)) with rule g(X) -> h(activate(X)) at position [] and matcher [X / n__c]

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

Context: []

We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop.
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(2)
NO