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


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


NO
proof of /export/starexec/sandbox/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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, 0 ms]
(2) NO


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

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

   g(b) -> g(f(f(f(f(b)))))
   f(f(b)) -> b
   f(b) -> b
   g(f(b)) -> c



Outermost Strategy.

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

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

   g(b) -> g(f(f(f(f(b)))))
   f(f(b)) -> b
   f(b) -> b
   g(f(b)) -> c



Outermost Strategy.

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

g(f(f(f(f(b))))) -> g(f(f(b))) with rule f(f(b)) -> b at position [0,0,0] and matcher [ ]

g(f(f(b))) -> g(b) with rule f(f(b)) -> b at position [0] and matcher [ ]

g(b) -> g(f(f(f(f(b))))) with rule g(b) -> g(f(f(f(f(b))))) at position [] and matcher [ ]

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.
----------------------------------------

(2)
NO