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


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


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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty


Termination w.r.t. Q of the given QTRS could be disproven:

(0) QTRS
(1) NonTerminationProof [COMPLETE, 63.9 s]
(2) NO


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

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

   a(x1) -> x1
   a(b(x1)) -> b(b(c(a(x1))))
   b(x1) -> x1
   c(c(b(x1))) -> a(x1)

Q is empty.

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

(1) NonTerminationProof (COMPLETE)
We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.

Found the self-embedding DerivationStructure: 
"a b b b b b b b -> a b b b b b b b c a c"
a b b b b b b b -> a b b b b b b b c a c
by OverlapClosure OC 3"a b b b b b b b -> a b b b b b a b c
by OverlapClosure OC 3"a b b b b b b b -> c c b b b b b b a b c
by OverlapClosure OC 2"a b -> c a
by OverlapClosure OC 3"a b -> b c a
by OverlapClosure OC 3"a b -> b b c a
by original rule (OC 1)""b -> 
by original rule (OC 1)"""b -> 
by original rule (OC 1)"""a b b b b b b -> c b b b b b b a b c
by OverlapClosure OC 2"a b -> c a
by OverlapClosure OC 3"a b -> b c a
by OverlapClosure OC 3"a b -> b b c a
by original rule (OC 1)""b -> 
by original rule (OC 1)"""b -> 
by original rule (OC 1)"""a b b b b b -> b b b b b b a b c
by OverlapClosure OC 3"a b b b b b -> b b b b b b c c b b c
by OverlapClosure OC 2"a b b b b -> b b b b b b c c a
by OverlapClosure OC 3"a b b b b -> b b b b b b c a c a
by OverlapClosure OC 3"a b b b b -> b b b b a b c a
by OverlapClosure OC 3"a b b b b -> b b b b c c b b c a
by OverlapClosure OC 2"a b b b -> b b b b c c a
by OverlapClosure OC 3"a b b b -> b b b b c a c a
by OverlapClosure OC 3"a b b b -> b b a b c a
by OverlapClosure OC 3"a b b b -> b b c c b b c a
by OverlapClosure OC 2"a b b -> b b c c a
by OverlapClosure OC 2"a b -> b b c a
by original rule (OC 1)""a b -> c a
by OverlapClosure OC 3"a b -> b c a
by OverlapClosure OC 3"a b -> b b c a
by original rule (OC 1)""b -> 
by original rule (OC 1)"""b -> 
by original rule (OC 1)""""a b -> b b c a
by original rule (OC 1)"""c c b -> a
by original rule (OC 1)"""a b -> b b c a
by original rule (OC 1)"""a -> 
by original rule (OC 1)"""a b -> b b c a
by original rule (OC 1)"""c c b -> a
by original rule (OC 1)"""a b -> b b c a
by original rule (OC 1)"""a -> 
by original rule (OC 1)"""a b -> b b c
by OverlapClosure OC 2"a b -> b b c a
by original rule (OC 1)""a -> 
by original rule (OC 1)""""c c b -> a
by original rule (OC 1)"""""c c b -> a
by original rule (OC 1)"""a b -> b b c a
by original rule (OC 1)"

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

(2)
NO