NO Termination w.r.t. Q proof of /home/cern_httpd/provide/research/cycsrs/tpdb/TPDB-d9b80194f163/SRS_Standard/Zantema_04/z075-split.srs

(0) Obligation:

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

Begin(f(x)) → Wait(Right1(x))
Begin(f(x)) → Wait(Right2(x))
Begin(f(x)) → Wait(Right3(x))
Begin(s(x)) → Wait(Right4(x))
Begin(s(x)) → Wait(Right5(x))
Begin(f(x)) → Wait(Right6(x))
Begin(n(x)) → Wait(Right7(x))
Begin(o(x)) → Wait(Right8(x))
Begin(o(x)) → Wait(Right9(x))
Right1(t(End(x))) → Left(t(c(n(End(x)))))
Right2(n(End(x))) → Left(f(n(End(x))))
Right3(o(End(x))) → Left(f(o(End(x))))
Right4(n(End(x))) → Left(f(s(End(x))))
Right5(o(End(x))) → Left(f(s(End(x))))
Right6(c(End(x))) → Left(f(c(End(x))))
Right7(c(End(x))) → Left(n(c(End(x))))
Right8(c(End(x))) → Left(o(c(End(x))))
Right9(c(End(x))) → Left(o(End(x)))
Right1(t(x)) → At(Right1(x))
Right2(t(x)) → At(Right2(x))
Right3(t(x)) → At(Right3(x))
Right4(t(x)) → At(Right4(x))
Right5(t(x)) → At(Right5(x))
Right6(t(x)) → At(Right6(x))
Right7(t(x)) → At(Right7(x))
Right8(t(x)) → At(Right8(x))
Right9(t(x)) → At(Right9(x))
Right1(f(x)) → Af(Right1(x))
Right2(f(x)) → Af(Right2(x))
Right3(f(x)) → Af(Right3(x))
Right4(f(x)) → Af(Right4(x))
Right5(f(x)) → Af(Right5(x))
Right6(f(x)) → Af(Right6(x))
Right7(f(x)) → Af(Right7(x))
Right8(f(x)) → Af(Right8(x))
Right9(f(x)) → Af(Right9(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))
Right7(c(x)) → Ac(Right7(x))
Right8(c(x)) → Ac(Right8(x))
Right9(c(x)) → Ac(Right9(x))
Right1(n(x)) → An(Right1(x))
Right2(n(x)) → An(Right2(x))
Right3(n(x)) → An(Right3(x))
Right4(n(x)) → An(Right4(x))
Right5(n(x)) → An(Right5(x))
Right6(n(x)) → An(Right6(x))
Right7(n(x)) → An(Right7(x))
Right8(n(x)) → An(Right8(x))
Right9(n(x)) → An(Right9(x))
Right1(o(x)) → Ao(Right1(x))
Right2(o(x)) → Ao(Right2(x))
Right3(o(x)) → Ao(Right3(x))
Right4(o(x)) → Ao(Right4(x))
Right5(o(x)) → Ao(Right5(x))
Right6(o(x)) → Ao(Right6(x))
Right7(o(x)) → Ao(Right7(x))
Right8(o(x)) → Ao(Right8(x))
Right9(o(x)) → Ao(Right9(x))
Right1(s(x)) → As(Right1(x))
Right2(s(x)) → As(Right2(x))
Right3(s(x)) → As(Right3(x))
Right4(s(x)) → As(Right4(x))
Right5(s(x)) → As(Right5(x))
Right6(s(x)) → As(Right6(x))
Right7(s(x)) → As(Right7(x))
Right8(s(x)) → As(Right8(x))
Right9(s(x)) → As(Right9(x))
At(Left(x)) → Left(t(x))
Af(Left(x)) → Left(f(x))
Ac(Left(x)) → Left(c(x))
An(Left(x)) → Left(n(x))
Ao(Left(x)) → Left(o(x))
As(Left(x)) → Left(s(x))
Wait(Left(x)) → Begin(x)
t(f(x)) → t(c(n(x)))
n(f(x)) → f(n(x))
o(f(x)) → f(o(x))
n(s(x)) → f(s(x))
o(s(x)) → f(s(x))
c(f(x)) → f(c(x))
c(n(x)) → n(c(x))
c(o(x)) → o(c(x))
c(o(x)) → o(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 o c EndWait Left o c End

Wait Left o c EndWait Left o c End
by OverlapClosure OC 2
Wait Left oWait Right8
by OverlapClosure OC 2
Wait LeftBegin
by original rule (OC 1)
Begin oWait Right8
by original rule (OC 1)
Right8 c EndLeft o c End
by original rule (OC 1)

(2) NO