NO Termination w.r.t. Q proof of /home/cern_httpd/provide/research/cycsrs/tpdb/TPDB-d9b80194f163/SRS_Standard/Zantema_06/11.srs-torpacyc2out-split.srs

(0) Obligation:

Q restricted rewrite system:
The TRS R consists of the following rules:

Begin(l(x)) → Wait(Right1(x))
Begin(c(x)) → Wait(Right2(x))
Begin(a(r(x))) → Wait(Right3(x))
Begin(r(x)) → Wait(Right4(x))
Begin(r(a(x))) → Wait(Right5(x))
Begin(a(x)) → Wait(Right6(x))
Right1(a(End(x))) → Left(l(a(End(x))))
Right2(a(End(x))) → Left(c(a(End(x))))
Right3(c(End(x))) → Left(r(a(End(x))))
Right4(c(a(End(x)))) → Left(r(a(End(x))))
Right5(l(End(x))) → Left(a(l(c(c(r(End(x)))))))
Right6(l(r(End(x)))) → Left(a(l(c(c(r(End(x)))))))
Right1(a(x)) → Aa(Right1(x))
Right2(a(x)) → Aa(Right2(x))
Right3(a(x)) → Aa(Right3(x))
Right4(a(x)) → Aa(Right4(x))
Right5(a(x)) → Aa(Right5(x))
Right6(a(x)) → Aa(Right6(x))
Right1(l(x)) → Al(Right1(x))
Right2(l(x)) → Al(Right2(x))
Right3(l(x)) → Al(Right3(x))
Right4(l(x)) → Al(Right4(x))
Right5(l(x)) → Al(Right5(x))
Right6(l(x)) → Al(Right6(x))
Right1(c(x)) → Ac(Right1(x))
Right2(c(x)) → Ac(Right2(x))
Right3(c(x)) → Ac(Right3(x))
Right4(c(x)) → Ac(Right4(x))
Right5(c(x)) → Ac(Right5(x))
Right6(c(x)) → Ac(Right6(x))
Right1(r(x)) → Ar(Right1(x))
Right2(r(x)) → Ar(Right2(x))
Right3(r(x)) → Ar(Right3(x))
Right4(r(x)) → Ar(Right4(x))
Right5(r(x)) → Ar(Right5(x))
Right6(r(x)) → Ar(Right6(x))
Aa(Left(x)) → Left(a(x))
Al(Left(x)) → Left(l(x))
Ac(Left(x)) → Left(c(x))
Ar(Left(x)) → Left(r(x))
Wait(Left(x)) → Begin(x)
a(l(x)) → l(a(x))
a(c(x)) → c(a(x))
c(a(r(x))) → r(a(x))
l(r(a(x))) → a(l(c(c(r(x)))))

Q is empty.

(1) NonTerminationProof (COMPLETE transformation)

We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.

Found the self-embedding DerivationStructure:
Wait Left c a EndWait Left c a End

Wait Left c a EndWait Left c a End
by OverlapClosure OC 2
Wait Left cWait Right2
by OverlapClosure OC 2
Wait LeftBegin
by original rule (OC 1)
Begin cWait Right2
by original rule (OC 1)
Right2 a EndLeft c a End
by original rule (OC 1)

(2) NO