/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# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished


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

(0) QTRS
(1) NonTerminationProof [COMPLETE, 619 ms]
(2) NO


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

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

   a(x1) -> x1
   a(x1) -> b(x1)
   b(b(c(x1))) -> a(c(c(c(a(b(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 c b c c -> c c c c c c a c c c a b c b c c c b"
a b c b c c -> c c c c c c a c c c a b c b c c c b
by OverlapClosure OC 3"a b c b c c -> c c c c c c b b c c b c c c b
by OverlapClosure OC 3"a b c b c c -> c c c c c c b b c c a c c c b
by OverlapClosure OC 3"a b c b c c -> c c c c c c a b c c a c c c b
by OverlapClosure OC 2"a -> b
by original rule (OC 1)""b b c b c c -> c c c c c c a b c c a c c c b
by OverlapClosure OC 3"b b c b c c -> c c c c c c a b c c a c c c a b
by OverlapClosure OC 2"b b c b c -> c c c c c c a b c c b b
by OverlapClosure OC 3"b b c b c -> c c c c c c a b c c a b
by OverlapClosure OC 3"b b c b c -> c c c a c c c a b c c a b
by OverlapClosure OC 3"b b c b c -> c c c b b c c c a b
by OverlapClosure OC 3"b b c b c -> c c c b a c c c a b
by OverlapClosure OC 2"b b c -> c c c b b
by OverlapClosure OC 3"b b c -> c c c a b
by OverlapClosure OC 3"b b c -> a c c c a b
by original rule (OC 1)""a -> 
by original rule (OC 1)"""a -> b
by original rule (OC 1)"""b b c -> a c c c a b
by original rule (OC 1)"""a -> b
by original rule (OC 1)"""b b c -> a c c c a b
by original rule (OC 1)"""a -> 
by original rule (OC 1)"""a -> b
by original rule (OC 1)"""b b c -> a c c c a b
by original rule (OC 1)"""a -> 
by original rule (OC 1)""""a -> b
by original rule (OC 1)"""a -> b
by original rule (OC 1)"""b b c -> a c c c a b
by original rule (OC 1)"

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

(2)
NO