NO Termination w.r.t. Q proof of /home/cern_httpd/provide/research/cycsrs/tpdb/TPDB-d9b80194f163/SRS_Standard/Zantema_06/beans1.srs-torpacyc2out-split.srs

(0) Obligation:

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

Begin(2(1(x))) → Wait(Right1(x))
Begin(1(x)) → Wait(Right2(x))
Begin(2(1(x))) → Wait(Right3(x))
Begin(1(x)) → Wait(Right4(x))
Begin(2(0(x))) → Wait(Right5(x))
Begin(0(x)) → Wait(Right6(x))
Begin(2(0(x))) → Wait(Right7(x))
Begin(0(x)) → Wait(Right8(x))
Right1(1(End(x))) → Left(2(0(2(End(x)))))
Right2(1(2(End(x)))) → Left(2(0(2(End(x)))))
Right3(0(End(x))) → Left(1(0(2(End(x)))))
Right4(0(2(End(x)))) → Left(1(0(2(End(x)))))
Right5(1(End(x))) → Left(2(0(1(End(x)))))
Right6(1(2(End(x)))) → Left(2(0(1(End(x)))))
Right7(0(End(x))) → Left(1(0(1(End(x)))))
Right8(0(2(End(x)))) → Left(1(0(1(End(x)))))
Right1(1(x)) → A1(Right1(x))
Right2(1(x)) → A1(Right2(x))
Right3(1(x)) → A1(Right3(x))
Right4(1(x)) → A1(Right4(x))
Right5(1(x)) → A1(Right5(x))
Right6(1(x)) → A1(Right6(x))
Right7(1(x)) → A1(Right7(x))
Right8(1(x)) → A1(Right8(x))
Right1(2(x)) → A2(Right1(x))
Right2(2(x)) → A2(Right2(x))
Right3(2(x)) → A2(Right3(x))
Right4(2(x)) → A2(Right4(x))
Right5(2(x)) → A2(Right5(x))
Right6(2(x)) → A2(Right6(x))
Right7(2(x)) → A2(Right7(x))
Right8(2(x)) → A2(Right8(x))
Right1(0(x)) → A0(Right1(x))
Right2(0(x)) → A0(Right2(x))
Right3(0(x)) → A0(Right3(x))
Right4(0(x)) → A0(Right4(x))
Right5(0(x)) → A0(Right5(x))
Right6(0(x)) → A0(Right6(x))
Right7(0(x)) → A0(Right7(x))
Right8(0(x)) → A0(Right8(x))
A1(Left(x)) → Left(1(x))
A2(Left(x)) → Left(2(x))
A0(Left(x)) → Left(0(x))
Wait(Left(x)) → Begin(x)
1(2(1(x))) → 2(0(2(x)))
0(2(1(x))) → 1(0(2(x)))
1(2(0(x))) → 2(0(1(x)))
0(2(0(x))) → 1(0(1(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 1 0 2 EndWait Left 1 0 2 End

Wait Left 1 0 2 EndWait Left 1 0 2 End
by OverlapClosure OC 2
Wait Left 1Wait Right4
by OverlapClosure OC 2
Wait LeftBegin
by original rule (OC 1)
Begin 1Wait Right4
by original rule (OC 1)
Right4 0 2 EndLeft 1 0 2 End
by original rule (OC 1)

(2) NO