Termination w.r.t. Q proof of /home/cern_httpd/provide/research/cycsrs/tpdb/TPDB-d9b80194f163/SRS_Standard/ICFP

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

0 QTRS

↳1 FlatCCProof (⇔, 0 ms)

↳2 QTRS

↳3 RootLabelingProof (⇔, 0 ms)

↳4 QTRS

↳5 QTRSRRRProof (⇔, 490 ms)

↳6 QTRS

↳7 QTRSRRRProof (⇔, 3 ms)

↳8 QTRS

↳9 QTRSRRRProof (⇔, 2 ms)

↳10 QTRS

↳11 Overlay + Local Confluence (⇔, 0 ms)

↳12 QTRS

↳13 DependencyPairsProof (⇔, 65 ms)

↳14 QDP

↳15 DependencyGraphProof (⇔, 0 ms)

↳16 TRUE

(0) Obligation:

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

0(0(0(1(1(0(0(0(0(1(2(0(1(x))))))))))))) → 1(1(1(1(0(0(0(1(0(0(1(1(0(1(1(0(0(x)))))))))))))))))
0(0(0(1(1(2(2(1(1(0(0(1(1(x))))))))))))) → 0(1(1(0(2(0(0(0(1(0(1(1(0(0(0(1(0(x)))))))))))))))))
0(1(0(0(2(1(0(0(1(0(0(1(0(x))))))))))))) → 0(1(1(0(0(0(1(1(0(1(0(0(1(1(1(0(0(x)))))))))))))))))
0(1(0(1(1(0(0(0(0(2(0(1(2(x))))))))))))) → 1(1(1(0(0(0(1(0(1(1(0(1(1(1(0(0(2(x)))))))))))))))))
0(1(0(1(1(0(2(1(0(1(0(0(0(x))))))))))))) → 0(1(1(0(1(1(0(0(1(0(0(1(0(1(1(1(0(x)))))))))))))))))
0(1(1(0(0(1(0(2(0(0(0(2(1(x))))))))))))) → 0(0(1(1(0(1(0(1(1(0(0(1(1(2(1(1(1(x)))))))))))))))))
0(1(2(1(0(0(0(0(0(2(1(1(1(x))))))))))))) → 0(1(0(1(1(2(0(1(0(0(0(1(1(0(0(0(1(x)))))))))))))))))
0(2(0(0(2(1(0(0(0(0(0(0(1(x))))))))))))) → 1(0(0(1(0(1(1(1(0(0(0(1(0(0(0(0(1(x)))))))))))))))))
0(2(1(0(1(2(1(2(2(0(1(1(1(x))))))))))))) → 0(2(1(1(0(0(2(1(1(0(0(1(2(1(1(1(1(x)))))))))))))))))
0(2(1(0(2(1(0(1(2(0(0(0(1(x))))))))))))) → 0(0(2(1(1(1(1(0(0(1(0(2(0(0(0(1(0(x)))))))))))))))))
0(2(1(1(0(0(0(0(2(1(0(1(1(x))))))))))))) → 0(0(1(0(1(0(1(0(2(1(1(1(0(0(0(0(0(x)))))))))))))))))
0(2(2(0(0(1(1(0(1(0(1(0(1(x))))))))))))) → 0(0(2(1(0(0(0(1(1(0(1(1(0(1(1(0(0(x)))))))))))))))))
1(0(0(0(0(1(1(1(0(0(2(1(1(x))))))))))))) → 1(1(1(1(1(1(1(1(1(1(0(1(1(0(1(0(0(x)))))))))))))))))
1(0(0(0(1(1(1(2(0(0(1(0(2(x))))))))))))) → 0(1(1(0(1(0(0(1(0(0(0(0(0(2(0(1(2(x)))))))))))))))))
1(0(0(0(1(2(0(1(0(0(0(1(0(x))))))))))))) → 1(1(1(0(0(0(1(1(0(1(1(0(1(1(1(0(1(x)))))))))))))))))
1(0(0(0(2(1(0(0(2(0(1(0(1(x))))))))))))) → 2(1(0(0(1(1(0(1(0(0(0(0(0(1(0(0(0(x)))))))))))))))))
1(0(0(1(0(1(2(1(0(2(1(1(0(x))))))))))))) → 0(1(1(1(0(0(0(0(0(2(1(1(1(1(1(1(0(x)))))))))))))))))
1(0(0(1(0(2(1(1(0(1(1(0(1(x))))))))))))) → 1(1(1(1(0(0(1(0(1(0(1(1(1(0(0(1(1(x)))))))))))))))))
1(0(0(1(2(0(0(0(2(2(1(1(2(x))))))))))))) → 1(0(0(0(1(0(2(2(0(1(1(1(0(1(2(1(2(x)))))))))))))))))
1(0(0(1(2(1(1(1(0(2(0(2(1(x))))))))))))) → 1(0(0(1(0(0(1(2(0(1(0(1(2(2(1(0(0(x)))))))))))))))))
1(0(0(2(0(1(0(1(0(2(1(0(2(x))))))))))))) → 0(1(0(0(0(2(0(1(1(0(1(0(1(1(0(0(2(x)))))))))))))))))
1(0(1(0(1(2(1(1(2(1(0(0(1(x))))))))))))) → 1(1(0(0(1(0(0(2(2(0(0(0(0(1(1(0(0(x)))))))))))))))))
1(0(1(2(0(1(2(1(0(0(1(0(0(x))))))))))))) → 0(0(0(0(0(1(1(0(1(1(1(1(0(2(1(0(1(x)))))))))))))))))
1(0(2(2(1(0(1(0(1(0(1(0(2(x))))))))))))) → 1(1(1(0(0(0(0(0(0(1(1(0(0(0(2(1(2(x)))))))))))))))))
1(1(0(1(0(2(2(2(1(0(0(0(0(x))))))))))))) → 1(1(0(1(1(0(1(0(1(0(1(0(0(2(0(0(1(x)))))))))))))))))
1(1(0(2(2(0(0(1(2(1(2(1(2(x))))))))))))) → 1(1(2(0(0(0(1(1(0(2(2(1(1(0(1(0(2(x)))))))))))))))))
1(1(1(1(0(1(0(2(1(1(0(0(2(x))))))))))))) → 1(1(1(0(0(1(0(1(1(0(1(0(0(2(1(0(2(x)))))))))))))))))
1(1(1(2(1(1(0(2(0(2(0(1(0(x))))))))))))) → 1(1(1(0(0(1(0(2(2(0(0(1(2(1(0(1(0(x)))))))))))))))))
1(1(2(1(1(0(1(1(0(1(1(0(2(x))))))))))))) → 1(1(2(0(1(0(1(0(0(0(0(0(1(0(0(1(2(x)))))))))))))))))
1(1(2(2(1(1(1(1(0(1(1(0(0(x))))))))))))) → 1(0(1(1(1(2(1(1(0(1(0(1(1(1(0(0(0(x)))))))))))))))))
1(1(2(2(2(1(0(0(1(1(0(0(0(x))))))))))))) → 0(1(0(1(1(1(1(1(0(2(1(0(1(1(0(0(0(x)))))))))))))))))
1(2(0(1(0(1(1(1(0(1(1(1(1(x))))))))))))) → 1(0(0(1(1(1(0(1(0(0(1(1(0(1(1(0(1(x)))))))))))))))))
1(2(1(0(0(0(0(1(0(1(1(2(1(x))))))))))))) → 0(1(0(0(1(0(0(0(1(1(0(0(2(1(0(0(0(x)))))))))))))))))
1(2(1(0(1(0(0(1(0(2(0(1(1(x))))))))))))) → 1(0(0(1(0(0(0(2(2(0(0(1(0(0(1(1(0(x)))))))))))))))))
1(2(2(0(1(1(1(1(1(1(0(1(0(x))))))))))))) → 1(0(0(2(2(0(0(1(0(0(1(0(0(0(1(1(0(x)))))))))))))))))
2(1(0(0(1(1(0(1(2(1(0(1(1(x))))))))))))) → 1(0(0(0(1(0(0(0(0(2(1(0(0(1(1(0(1(x)))))))))))))))))
2(1(0(1(2(0(0(2(0(1(0(1(2(x))))))))))))) → 2(1(0(0(1(0(0(0(0(1(0(2(2(2(0(1(2(x)))))))))))))))))
2(1(0(2(2(2(2(1(0(0(0(0(1(x))))))))))))) → 1(1(1(0(0(0(1(1(2(1(0(0(1(2(0(1(0(x)))))))))))))))))
2(1(1(0(1(0(1(1(1(2(1(1(0(x))))))))))))) → 1(1(2(1(1(0(0(1(1(0(0(1(1(0(1(0(0(x)))))))))))))))))
2(1(1(0(2(1(0(2(1(0(0(0(1(x))))))))))))) → 0(1(0(1(1(1(1(2(0(1(0(0(1(0(0(1(0(x)))))))))))))))))
2(1(1(1(1(1(1(1(0(0(2(0(1(x))))))))))))) → 1(1(1(0(1(1(1(0(1(0(0(1(0(2(0(1(0(x)))))))))))))))))
2(2(1(0(0(2(1(1(1(1(1(0(1(x))))))))))))) → 2(2(2(0(0(0(1(0(1(0(1(1(0(1(1(1(0(x)))))))))))))))))
2(2(1(0(0(2(1(2(0(0(1(0(2(x))))))))))))) → 2(1(0(0(0(2(1(0(0(1(2(0(0(1(1(1(2(x)))))))))))))))))
2(2(2(0(0(0(1(0(0(0(0(1(0(x))))))))))))) → 0(2(0(0(1(1(1(0(1(1(0(0(0(1(0(1(0(x)))))))))))))))))

Q is empty.

(1) FlatCCProof (EQUIVALENT transformation)

We used flat context closure [ROOTLAB] As Q is empty the flat context closure was sound AND complete.

(2) Obligation:

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

0(0(0(1(1(2(2(1(1(0(0(1(1(x))))))))))))) → 0(1(1(0(2(0(0(0(1(0(1(1(0(0(0(1(0(x)))))))))))))))))
0(1(0(0(2(1(0(0(1(0(0(1(0(x))))))))))))) → 0(1(1(0(0(0(1(1(0(1(0(0(1(1(1(0(0(x)))))))))))))))))
0(1(0(1(1(0(2(1(0(1(0(0(0(x))))))))))))) → 0(1(1(0(1(1(0(0(1(0(0(1(0(1(1(1(0(x)))))))))))))))))
0(1(1(0(0(1(0(2(0(0(0(2(1(x))))))))))))) → 0(0(1(1(0(1(0(1(1(0(0(1(1(2(1(1(1(x)))))))))))))))))
0(1(2(1(0(0(0(0(0(2(1(1(1(x))))))))))))) → 0(1(0(1(1(2(0(1(0(0(0(1(1(0(0(0(1(x)))))))))))))))))
0(2(1(0(1(2(1(2(2(0(1(1(1(x))))))))))))) → 0(2(1(1(0(0(2(1(1(0(0(1(2(1(1(1(1(x)))))))))))))))))
0(2(1(0(2(1(0(1(2(0(0(0(1(x))))))))))))) → 0(0(2(1(1(1(1(0(0(1(0(2(0(0(0(1(0(x)))))))))))))))))
0(2(1(1(0(0(0(0(2(1(0(1(1(x))))))))))))) → 0(0(1(0(1(0(1(0(2(1(1(1(0(0(0(0(0(x)))))))))))))))))
0(2(2(0(0(1(1(0(1(0(1(0(1(x))))))))))))) → 0(0(2(1(0(0(0(1(1(0(1(1(0(1(1(0(0(x)))))))))))))))))
1(0(0(0(0(1(1(1(0(0(2(1(1(x))))))))))))) → 1(1(1(1(1(1(1(1(1(1(0(1(1(0(1(0(0(x)))))))))))))))))
1(0(0(0(1(2(0(1(0(0(0(1(0(x))))))))))))) → 1(1(1(0(0(0(1(1(0(1(1(0(1(1(1(0(1(x)))))))))))))))))
1(0(0(1(0(2(1(1(0(1(1(0(1(x))))))))))))) → 1(1(1(1(0(0(1(0(1(0(1(1(1(0(0(1(1(x)))))))))))))))))
1(0(0(1(2(0(0(0(2(2(1(1(2(x))))))))))))) → 1(0(0(0(1(0(2(2(0(1(1(1(0(1(2(1(2(x)))))))))))))))))
1(0(0(1(2(1(1(1(0(2(0(2(1(x))))))))))))) → 1(0(0(1(0(0(1(2(0(1(0(1(2(2(1(0(0(x)))))))))))))))))
1(0(1(0(1(2(1(1(2(1(0(0(1(x))))))))))))) → 1(1(0(0(1(0(0(2(2(0(0(0(0(1(1(0(0(x)))))))))))))))))
1(0(2(2(1(0(1(0(1(0(1(0(2(x))))))))))))) → 1(1(1(0(0(0(0(0(0(1(1(0(0(0(2(1(2(x)))))))))))))))))
1(1(0(1(0(2(2(2(1(0(0(0(0(x))))))))))))) → 1(1(0(1(1(0(1(0(1(0(1(0(0(2(0(0(1(x)))))))))))))))))
1(1(0(2(2(0(0(1(2(1(2(1(2(x))))))))))))) → 1(1(2(0(0(0(1(1(0(2(2(1(1(0(1(0(2(x)))))))))))))))))
1(1(1(1(0(1(0(2(1(1(0(0(2(x))))))))))))) → 1(1(1(0(0(1(0(1(1(0(1(0(0(2(1(0(2(x)))))))))))))))))
1(1(1(2(1(1(0(2(0(2(0(1(0(x))))))))))))) → 1(1(1(0(0(1(0(2(2(0(0(1(2(1(0(1(0(x)))))))))))))))))
1(1(2(1(1(0(1(1(0(1(1(0(2(x))))))))))))) → 1(1(2(0(1(0(1(0(0(0(0(0(1(0(0(1(2(x)))))))))))))))))
1(1(2(2(1(1(1(1(0(1(1(0(0(x))))))))))))) → 1(0(1(1(1(2(1(1(0(1(0(1(1(1(0(0(0(x)))))))))))))))))
1(2(0(1(0(1(1(1(0(1(1(1(1(x))))))))))))) → 1(0(0(1(1(1(0(1(0(0(1(1(0(1(1(0(1(x)))))))))))))))))
1(2(1(0(1(0(0(1(0(2(0(1(1(x))))))))))))) → 1(0(0(1(0(0(0(2(2(0(0(1(0(0(1(1(0(x)))))))))))))))))
1(2(2(0(1(1(1(1(1(1(0(1(0(x))))))))))))) → 1(0(0(2(2(0(0(1(0(0(1(0(0(0(1(1(0(x)))))))))))))))))
2(1(0(1(2(0(0(2(0(1(0(1(2(x))))))))))))) → 2(1(0(0(1(0(0(0(0(1(0(2(2(2(0(1(2(x)))))))))))))))))
2(2(1(0(0(2(1(1(1(1(1(0(1(x))))))))))))) → 2(2(2(0(0(0(1(0(1(0(1(1(0(1(1(1(0(x)))))))))))))))))
2(2(1(0(0(2(1(2(0(0(1(0(2(x))))))))))))) → 2(1(0(0(0(2(1(0(0(1(2(0(0(1(1(1(2(x)))))))))))))))))
0(0(0(0(1(1(0(0(0(0(1(2(0(1(x)))))))))))))) → 0(1(1(1(1(0(0(0(1(0(0(1(1(0(1(1(0(0(x))))))))))))))))))
1(0(0(0(1(1(0(0(0(0(1(2(0(1(x)))))))))))))) → 1(1(1(1(1(0(0(0(1(0(0(1(1(0(1(1(0(0(x))))))))))))))))))
2(0(0(0(1(1(0(0(0(0(1(2(0(1(x)))))))))))))) → 2(1(1(1(1(0(0(0(1(0(0(1(1(0(1(1(0(0(x))))))))))))))))))
0(0(1(0(1(1(0(0(0(0(2(0(1(2(x)))))))))))))) → 0(1(1(1(0(0(0(1(0(1(1(0(1(1(1(0(0(2(x))))))))))))))))))
1(0(1(0(1(1(0(0(0(0(2(0(1(2(x)))))))))))))) → 1(1(1(1(0(0(0(1(0(1(1(0(1(1(1(0(0(2(x))))))))))))))))))
2(0(1(0(1(1(0(0(0(0(2(0(1(2(x)))))))))))))) → 2(1(1(1(0(0(0(1(0(1(1(0(1(1(1(0(0(2(x))))))))))))))))))
0(0(2(0(0(2(1(0(0(0(0(0(0(1(x)))))))))))))) → 0(1(0(0(1(0(1(1(1(0(0(0(1(0(0(0(0(1(x))))))))))))))))))
1(0(2(0(0(2(1(0(0(0(0(0(0(1(x)))))))))))))) → 1(1(0(0(1(0(1(1(1(0(0(0(1(0(0(0(0(1(x))))))))))))))))))
2(0(2(0(0(2(1(0(0(0(0(0(0(1(x)))))))))))))) → 2(1(0(0(1(0(1(1(1(0(0(0(1(0(0(0(0(1(x))))))))))))))))))
0(1(0(0(0(1(1(1(2(0(0(1(0(2(x)))))))))))))) → 0(0(1(1(0(1(0(0(1(0(0(0(0(0(2(0(1(2(x))))))))))))))))))
1(1(0(0(0(1(1(1(2(0(0(1(0(2(x)))))))))))))) → 1(0(1(1(0(1(0(0(1(0(0(0(0(0(2(0(1(2(x))))))))))))))))))
2(1(0(0(0(1(1(1(2(0(0(1(0(2(x)))))))))))))) → 2(0(1(1(0(1(0(0(1(0(0(0(0(0(2(0(1(2(x))))))))))))))))))
0(1(0(0(0(2(1(0(0(2(0(1(0(1(x)))))))))))))) → 0(2(1(0(0(1(1(0(1(0(0(0(0(0(1(0(0(0(x))))))))))))))))))
1(1(0(0(0(2(1(0(0(2(0(1(0(1(x)))))))))))))) → 1(2(1(0(0(1(1(0(1(0(0(0(0(0(1(0(0(0(x))))))))))))))))))
2(1(0(0(0(2(1(0(0(2(0(1(0(1(x)))))))))))))) → 2(2(1(0(0(1(1(0(1(0(0(0(0(0(1(0(0(0(x))))))))))))))))))
0(1(0(0(1(0(1(2(1(0(2(1(1(0(x)))))))))))))) → 0(0(1(1(1(0(0(0(0(0(2(1(1(1(1(1(1(0(x))))))))))))))))))
1(1(0(0(1(0(1(2(1(0(2(1(1(0(x)))))))))))))) → 1(0(1(1(1(0(0(0(0(0(2(1(1(1(1(1(1(0(x))))))))))))))))))
2(1(0(0(1(0(1(2(1(0(2(1(1(0(x)))))))))))))) → 2(0(1(1(1(0(0(0(0(0(2(1(1(1(1(1(1(0(x))))))))))))))))))
0(1(0(0(2(0(1(0(1(0(2(1(0(2(x)))))))))))))) → 0(0(1(0(0(0(2(0(1(1(0(1(0(1(1(0(0(2(x))))))))))))))))))
1(1(0(0(2(0(1(0(1(0(2(1(0(2(x)))))))))))))) → 1(0(1(0(0(0(2(0(1(1(0(1(0(1(1(0(0(2(x))))))))))))))))))
2(1(0(0(2(0(1(0(1(0(2(1(0(2(x)))))))))))))) → 2(0(1(0(0(0(2(0(1(1(0(1(0(1(1(0(0(2(x))))))))))))))))))
0(1(0(1(2(0(1(2(1(0(0(1(0(0(x)))))))))))))) → 0(0(0(0(0(0(1(1(0(1(1(1(1(0(2(1(0(1(x))))))))))))))))))
1(1(0(1(2(0(1(2(1(0(0(1(0(0(x)))))))))))))) → 1(0(0(0(0(0(1(1(0(1(1(1(1(0(2(1(0(1(x))))))))))))))))))
2(1(0(1(2(0(1(2(1(0(0(1(0(0(x)))))))))))))) → 2(0(0(0(0(0(1(1(0(1(1(1(1(0(2(1(0(1(x))))))))))))))))))
0(1(1(2(2(2(1(0(0(1(1(0(0(0(x)))))))))))))) → 0(0(1(0(1(1(1(1(1(0(2(1(0(1(1(0(0(0(x))))))))))))))))))
1(1(1(2(2(2(1(0(0(1(1(0(0(0(x)))))))))))))) → 1(0(1(0(1(1(1(1(1(0(2(1(0(1(1(0(0(0(x))))))))))))))))))
2(1(1(2(2(2(1(0(0(1(1(0(0(0(x)))))))))))))) → 2(0(1(0(1(1(1(1(1(0(2(1(0(1(1(0(0(0(x))))))))))))))))))
0(1(2(1(0(0(0(0(1(0(1(1(2(1(x)))))))))))))) → 0(0(1(0(0(1(0(0(0(1(1(0(0(2(1(0(0(0(x))))))))))))))))))
1(1(2(1(0(0(0(0(1(0(1(1(2(1(x)))))))))))))) → 1(0(1(0(0(1(0(0(0(1(1(0(0(2(1(0(0(0(x))))))))))))))))))
2(1(2(1(0(0(0(0(1(0(1(1(2(1(x)))))))))))))) → 2(0(1(0(0(1(0(0(0(1(1(0(0(2(1(0(0(0(x))))))))))))))))))
0(2(1(0(0(1(1(0(1(2(1(0(1(1(x)))))))))))))) → 0(1(0(0(0(1(0(0(0(0(2(1(0(0(1(1(0(1(x))))))))))))))))))
1(2(1(0(0(1(1(0(1(2(1(0(1(1(x)))))))))))))) → 1(1(0(0(0(1(0(0(0(0(2(1(0(0(1(1(0(1(x))))))))))))))))))
2(2(1(0(0(1(1(0(1(2(1(0(1(1(x)))))))))))))) → 2(1(0(0(0(1(0(0(0(0(2(1(0(0(1(1(0(1(x))))))))))))))))))
0(2(1(0(2(2(2(2(1(0(0(0(0(1(x)))))))))))))) → 0(1(1(1(0(0(0(1(1(2(1(0(0(1(2(0(1(0(x))))))))))))))))))
1(2(1(0(2(2(2(2(1(0(0(0(0(1(x)))))))))))))) → 1(1(1(1(0(0(0(1(1(2(1(0(0(1(2(0(1(0(x))))))))))))))))))
2(2(1(0(2(2(2(2(1(0(0(0(0(1(x)))))))))))))) → 2(1(1(1(0(0(0(1(1(2(1(0(0(1(2(0(1(0(x))))))))))))))))))
0(2(1(1(0(1(0(1(1(1(2(1(1(0(x)))))))))))))) → 0(1(1(2(1(1(0(0(1(1(0(0(1(1(0(1(0(0(x))))))))))))))))))
1(2(1(1(0(1(0(1(1(1(2(1(1(0(x)))))))))))))) → 1(1(1(2(1(1(0(0(1(1(0(0(1(1(0(1(0(0(x))))))))))))))))))
2(2(1(1(0(1(0(1(1(1(2(1(1(0(x)))))))))))))) → 2(1(1(2(1(1(0(0(1(1(0(0(1(1(0(1(0(0(x))))))))))))))))))
0(2(1(1(0(2(1(0(2(1(0(0(0(1(x)))))))))))))) → 0(0(1(0(1(1(1(1(2(0(1(0(0(1(0(0(1(0(x))))))))))))))))))
1(2(1(1(0(2(1(0(2(1(0(0(0(1(x)))))))))))))) → 1(0(1(0(1(1(1(1(2(0(1(0(0(1(0(0(1(0(x))))))))))))))))))
2(2(1(1(0(2(1(0(2(1(0(0(0(1(x)))))))))))))) → 2(0(1(0(1(1(1(1(2(0(1(0(0(1(0(0(1(0(x))))))))))))))))))
0(2(1(1(1(1(1(1(1(0(0(2(0(1(x)))))))))))))) → 0(1(1(1(0(1(1(1(0(1(0(0(1(0(2(0(1(0(x))))))))))))))))))
1(2(1(1(1(1(1(1(1(0(0(2(0(1(x)))))))))))))) → 1(1(1(1(0(1(1(1(0(1(0(0(1(0(2(0(1(0(x))))))))))))))))))
2(2(1(1(1(1(1(1(1(0(0(2(0(1(x)))))))))))))) → 2(1(1(1(0(1(1(1(0(1(0(0(1(0(2(0(1(0(x))))))))))))))))))
0(2(2(2(0(0(0(1(0(0(0(0(1(0(x)))))))))))))) → 0(0(2(0(0(1(1(1(0(1(1(0(0(0(1(0(1(0(x))))))))))))))))))
1(2(2(2(0(0(0(1(0(0(0(0(1(0(x)))))))))))))) → 1(0(2(0(0(1(1(1(0(1(1(0(0(0(1(0(1(0(x))))))))))))))))))
2(2(2(2(0(0(0(1(0(0(0(0(1(0(x)))))))))))))) → 2(0(2(0(0(1(1(1(0(1(1(0(0(0(1(0(1(0(x))))))))))))))))))

Q is empty.

(3) RootLabelingProof (EQUIVALENT transformation)

We used plain root labeling [ROOTLAB] with the following heuristic: LabelAll: All function symbols get labeled
As Q is empty the root labeling was sound AND complete.

(4) Obligation:

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

0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x))))))))))))) → 0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x)))))))))))))))))
0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x))))))))))))) → 0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x)))))))))))))))))
0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x))))))))))))) → 0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x)))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))) → 0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x)))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))) → 0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x)))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))) → 0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x)))))))))))))))))
0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x))))))))))))) → 0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x)))))))))))))))))
0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x))))))))))))) → 0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x)))))))))))))))))
0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x))))))))))))) → 0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x)))))))))))))))))
0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(x))))))))))))) → 0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(x)))))))))))))))))
0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(x))))))))))))) → 0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(x)))))))))))))))))
0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(x))))))))))))) → 0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(x)))))))))))))))))
0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(x))))))))))))) → 0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))))))
0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(x))))))))))))) → 0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))))))
0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(x))))))))))))) → 0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))))))
0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(x))))))))))))) → 0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(x)))))))))))))))))
0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(x))))))))))))) → 0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(x)))))))))))))))))
0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(x))))))))))))) → 0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(x)))))))))))))))))
0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x))))))))))))) → 0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x)))))))))))))))))
0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x))))))))))))) → 0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x)))))))))))))))))
0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x))))))))))))) → 0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x)))))))))))))))))
0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x))))))))))))) → 0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x)))))))))))))))))
0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x))))))))))))) → 0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x)))))))))))))))))
0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x))))))))))))) → 0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x)))))))))))))))))
0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x))))))))))))) → 0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x)))))))))))))))))
0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x))))))))))))) → 0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x)))))))))))))))))
0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x))))))))))))) → 0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x)))))))))))))))))
1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x)))))))))))))))))
1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x)))))))))))))))))
1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x)))))))))))))))))
1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))))))
1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))))))
1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))))))
1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x)))))))))))))))))
1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x)))))))))))))))))
1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x)))))))))))))))))
1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x)))))))))))))))))
1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x)))))))))))))))))
1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x)))))))))))))))))
1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x)))))))))))))))))
1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x)))))))))))))))))
1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x)))))))))))))))))
1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x))))))))))))) → 1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x)))))))))))))))))
1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x))))))))))))) → 1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x)))))))))))))))))
1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x))))))))))))) → 1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x)))))))))))))))))
1_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x)))))))))))))))))
1_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x)))))))))))))))))
1_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x)))))))))))))))))
1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x))))))))))))) → 1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))))))
1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x))))))))))))) → 1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))))))
1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x))))))))))))) → 1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))))))
1_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x))))))))))))) → 1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))))))
1_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x))))))))))))) → 1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))))))
1_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x))))))))))))) → 1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))))))
1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))))))
1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))))))
1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))))))
1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x)))))))))))))))))
1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x)))))))))))))))))
1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x)))))))))))))))))
1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x))))))))))))) → 1_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x)))))))))))))))))
1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x))))))))))))) → 1_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x)))))))))))))))))
1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x))))))))))))) → 1_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x)))))))))))))))))
1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x))))))))))))) → 1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x)))))))))))))))))
1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x))))))))))))) → 1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x)))))))))))))))))
1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x))))))))))))) → 1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x)))))))))))))))))
1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))))))
1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))))))
1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))))))
1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x)))))))))))))))))
1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x)))))))))))))))))
1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x)))))))))))))))))
1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x)))))))))))))))))
1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x)))))))))))))))))
1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x)))))))))))))))))
2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x))))))))))))) → 2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x)))))))))))))))))
2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x))))))))))))) → 2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x)))))))))))))))))
2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x))))))))))))) → 2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x)))))))))))))))))
2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x))))))))))))) → 2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x)))))))))))))))))
2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x))))))))))))) → 2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x)))))))))))))))))
2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x))))))))))))) → 2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x)))))))))))))))))
2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x))))))))))))) → 2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(x)))))))))))))))))
2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x))))))))))))) → 2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(x)))))))))))))))))
2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x))))))))))))) → 2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(x)))))))))))))))))
0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))) → 0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x))))))))))))))))))
0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))) → 0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x))))))))))))))))))
0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))) → 0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x))))))))))))))))))
1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))) → 1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x))))))))))))))))))
1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))) → 1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x))))))))))))))))))
1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))) → 1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x))))))))))))))))))
2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))) → 2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x))))))))))))))))))
2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))) → 2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x))))))))))))))))))
2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))) → 2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x))))))))))))))))))
0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x)))))))))))))) → 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x))))))))))))))))))
0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x)))))))))))))) → 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x))))))))))))))))))
0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x)))))))))))))) → 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x))))))))))))))))))
1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x)))))))))))))) → 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x))))))))))))))))))
1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x)))))))))))))) → 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x))))))))))))))))))
1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x)))))))))))))) → 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x))))))))))))))))))
2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x)))))))))))))) → 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x))))))))))))))))))
2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x)))))))))))))) → 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x))))))))))))))))))
2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x)))))))))))))) → 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x))))))))))))))))))
0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))) → 0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x))))))))))))))))))
0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))) → 0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x))))))))))))))))))
0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))) → 0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x))))))))))))))))))
1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))) → 1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x))))))))))))))))))
1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))) → 1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x))))))))))))))))))
1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))) → 1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x))))))))))))))))))
2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))) → 2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x))))))))))))))))))
2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))) → 2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x))))))))))))))))))
2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))) → 2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x))))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x))))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x))))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x))))))))))))))))))
2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))) → 2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x))))))))))))))))))
2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))) → 2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x))))))))))))))))))
2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))) → 2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x))))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))) → 0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x))))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))) → 0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x))))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))) → 0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))) → 1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))) → 1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))) → 1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x))))))))))))))))))
2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))) → 2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x))))))))))))))))))
2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))) → 2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x))))))))))))))))))
2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))) → 2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x))))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))))))))
2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x)))))))))))))) → 2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))))))))
2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x)))))))))))))) → 2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))))))))
2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x)))))))))))))) → 2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x))))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x))))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x))))))))))))))))))
2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))) → 2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x))))))))))))))))))
2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))) → 2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x))))))))))))))))))
2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))) → 2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x))))))))))))))))))
0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x)))))))))))))) → 0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x))))))))))))))))))
0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x)))))))))))))) → 0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x))))))))))))))))))
0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x)))))))))))))) → 0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x)))))))))))))) → 1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x)))))))))))))) → 1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x)))))))))))))) → 1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x))))))))))))))))))
2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x)))))))))))))) → 2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x))))))))))))))))))
2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x)))))))))))))) → 2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x))))))))))))))))))
2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x)))))))))))))) → 2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x))))))))))))))))))
0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x))))))))))))))))))
0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x))))))))))))))))))
0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x))))))))))))))))))
1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x))))))))))))))))))
1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x))))))))))))))))))
1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x))))))))))))))))))
2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x)))))))))))))) → 2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x))))))))))))))))))
2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x)))))))))))))) → 2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x))))))))))))))))))
2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x)))))))))))))) → 2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x))))))))))))))))))
0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x))))))))))))))))))
0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x))))))))))))))))))
0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x))))))))))))))))))
1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x))))))))))))))))))
1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x))))))))))))))))))
1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x))))))))))))))))))
2_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(x)))))))))))))) → 2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x))))))))))))))))))
2_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(x)))))))))))))) → 2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x))))))))))))))))))
2_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(x)))))))))))))) → 2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x))))))))))))))))))
0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x)))))))))))))) → 0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x))))))))))))))))))
0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x)))))))))))))) → 0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x))))))))))))))))))
0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x)))))))))))))) → 0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x))))))))))))))))))
1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x)))))))))))))) → 1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x))))))))))))))))))
1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x)))))))))))))) → 1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x))))))))))))))))))
1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x)))))))))))))) → 1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x))))))))))))))))))
2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x)))))))))))))) → 2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x))))))))))))))))))
2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x)))))))))))))) → 2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x))))))))))))))))))
2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x)))))))))))))) → 2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x))))))))))))))))))
0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))) → 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))))))))
0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))) → 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))))))))
0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))) → 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))))))))
1_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))) → 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))))))))
1_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))) → 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))))))))
1_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))) → 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))))))))
2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))) → 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))))))))
2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))) → 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))))))))
2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))) → 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))))))))
0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x)))))))))))))) → 0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x))))))))))))))))))
0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x)))))))))))))) → 0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x))))))))))))))))))
0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x)))))))))))))) → 0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x))))))))))))))))))
1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x)))))))))))))) → 1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x))))))))))))))))))
1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x)))))))))))))) → 1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x))))))))))))))))))
1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x)))))))))))))) → 1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x))))))))))))))))))
2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x)))))))))))))) → 2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x))))))))))))))))))
2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x)))))))))))))) → 2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x))))))))))))))))))
2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x)))))))))))))) → 2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x))))))))))))))))))
0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))))))))
0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))))))))
0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))))))))
1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))))))))
1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))))))))
1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))))))))
2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))) → 2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))))))))
2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))) → 2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))))))))
2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))) → 2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))))))))
0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))) → 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))))))))
0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))) → 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))))))))
0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))) → 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))))))))
1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))) → 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))))))))
1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))) → 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))))))))
1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))) → 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))))))))
2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))) → 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))))))))
2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))) → 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))))))))
2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))) → 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))))))))
0_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x)))))))))))))) → 0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))))))))
0_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x)))))))))))))) → 0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))))))))
0_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x)))))))))))))) → 0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))))))))
1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x)))))))))))))) → 1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))))))))
1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x)))))))))))))) → 1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))))))))
1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x)))))))))))))) → 1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))))))))
2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x)))))))))))))) → 2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))))))))
2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x)))))))))))))) → 2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))))))))
2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x)))))))))))))) → 2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))))))))

Q is empty.

(5) QTRSRRRProof (EQUIVALENT transformation)

Used ordering:
Polynomial interpretation [POLO]:

POL(0_{0_1}(x₁)) = x₁
POL(0_{1_1}(x₁)) = x₁
POL(0_{2_1}(x₁)) = x₁
POL(1_{0_1}(x₁)) = x₁
POL(1_{1_1}(x₁)) = x₁
POL(1_{2_1}(x₁)) = x₁
POL(2_{0_1}(x₁)) = 6 + x₁
POL(2_{1_1}(x₁)) = 7 + x₁
POL(2_{2_1}(x₁)) = 2 + x₁

With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:

0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x))))))))))))) → 0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x)))))))))))))))))
0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x))))))))))))) → 0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x)))))))))))))))))
0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x))))))))))))) → 0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x)))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))) → 0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x)))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))) → 0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x)))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))) → 0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x)))))))))))))))))
0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x))))))))))))) → 0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x)))))))))))))))))
0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x))))))))))))) → 0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x)))))))))))))))))
0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x))))))))))))) → 0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x)))))))))))))))))
0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(x))))))))))))) → 0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(x)))))))))))))))))
0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(x))))))))))))) → 0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(x)))))))))))))))))
0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(x))))))))))))) → 0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(x)))))))))))))))))
0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(x))))))))))))) → 0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))))))
0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(x))))))))))))) → 0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))))))
0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(x))))))))))))) → 0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))))))
0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(x))))))))))))) → 0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(x)))))))))))))))))
0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(x))))))))))))) → 0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(x)))))))))))))))))
0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(x))))))))))))) → 0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(x)))))))))))))))))
0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x))))))))))))) → 0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x)))))))))))))))))
0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x))))))))))))) → 0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x)))))))))))))))))
0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x))))))))))))) → 0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x)))))))))))))))))
0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x))))))))))))) → 0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x)))))))))))))))))
0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x))))))))))))) → 0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x)))))))))))))))))
0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x))))))))))))) → 0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x)))))))))))))))))
0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x))))))))))))) → 0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x)))))))))))))))))
0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x))))))))))))) → 0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x)))))))))))))))))
0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x))))))))))))) → 0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x)))))))))))))))))
1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x)))))))))))))))))
1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x)))))))))))))))))
1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x)))))))))))))))))
1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))))))
1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))))))
1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))))))
1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x)))))))))))))))))
1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x)))))))))))))))))
1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x)))))))))))))))))
1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x)))))))))))))))))
1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x)))))))))))))))))
1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x)))))))))))))))))
1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x))))))))))))) → 1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x)))))))))))))))))
1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x))))))))))))) → 1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x)))))))))))))))))
1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x))))))))))))) → 1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x)))))))))))))))))
1_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x)))))))))))))))))
1_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x)))))))))))))))))
1_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x)))))))))))))))))
1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x))))))))))))) → 1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))))))
1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x))))))))))))) → 1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))))))
1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x))))))))))))) → 1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))))))
1_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x))))))))))))) → 1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))))))
1_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x))))))))))))) → 1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))))))
1_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x))))))))))))) → 1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))))))
1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x)))))))))))))))))
1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x)))))))))))))))))
1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x)))))))))))))))))
1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x))))))))))))) → 1_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x)))))))))))))))))
1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x))))))))))))) → 1_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x)))))))))))))))))
1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x))))))))))))) → 1_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x)))))))))))))))))
1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x))))))))))))) → 1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x)))))))))))))))))
1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x))))))))))))) → 1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x)))))))))))))))))
1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x))))))))))))) → 1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x)))))))))))))))))
1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))))))
1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))))))
1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))))))
1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x)))))))))))))))))
1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x)))))))))))))))))
1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x)))))))))))))))))
2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x))))))))))))) → 2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x)))))))))))))))))
2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x))))))))))))) → 2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x)))))))))))))))))
2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x))))))))))))) → 2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x)))))))))))))))))
2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x))))))))))))) → 2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x)))))))))))))))))
2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x))))))))))))) → 2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x)))))))))))))))))
2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x))))))))))))) → 2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x)))))))))))))))))
2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x))))))))))))) → 2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(x)))))))))))))))))
2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x))))))))))))) → 2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(x)))))))))))))))))
2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x))))))))))))) → 2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(x)))))))))))))))))
0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))) → 0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x))))))))))))))))))
0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))) → 0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x))))))))))))))))))
0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))) → 0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x))))))))))))))))))
1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))) → 1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x))))))))))))))))))
1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))) → 1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x))))))))))))))))))
1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))) → 1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x))))))))))))))))))
2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))) → 2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x))))))))))))))))))
2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))) → 2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x))))))))))))))))))
2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))) → 2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x))))))))))))))))))
0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x)))))))))))))) → 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x))))))))))))))))))
0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x)))))))))))))) → 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x))))))))))))))))))
0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x)))))))))))))) → 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x))))))))))))))))))
1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x)))))))))))))) → 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x))))))))))))))))))
1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x)))))))))))))) → 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x))))))))))))))))))
1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x)))))))))))))) → 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x))))))))))))))))))
2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x)))))))))))))) → 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x))))))))))))))))))
2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x)))))))))))))) → 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x))))))))))))))))))
2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x)))))))))))))) → 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x))))))))))))))))))
0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))) → 0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x))))))))))))))))))
0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))) → 0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x))))))))))))))))))
0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))) → 0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x))))))))))))))))))
1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))) → 1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x))))))))))))))))))
1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))) → 1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x))))))))))))))))))
1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))) → 1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x))))))))))))))))))
2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))) → 2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x))))))))))))))))))
2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))) → 2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x))))))))))))))))))
2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))) → 2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x))))))))))))))))))
2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))) → 2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x))))))))))))))))))
2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))) → 2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x))))))))))))))))))
2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))) → 2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x))))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))) → 0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x))))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))) → 0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x))))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))) → 0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))) → 1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))) → 1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))) → 1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x))))))))))))))))))
2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))) → 2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x))))))))))))))))))
2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))) → 2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x))))))))))))))))))
2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))) → 2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x))))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))))))))
2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x)))))))))))))) → 2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))))))))
2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x)))))))))))))) → 2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))))))))
2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x)))))))))))))) → 2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x))))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x))))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x))))))))))))))))))
2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))) → 2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x))))))))))))))))))
2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))) → 2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x))))))))))))))))))
2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))) → 2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x))))))))))))))))))
0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x)))))))))))))) → 0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x))))))))))))))))))
0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x)))))))))))))) → 0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x))))))))))))))))))
0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x)))))))))))))) → 0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x)))))))))))))) → 1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x)))))))))))))) → 1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x)))))))))))))) → 1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x))))))))))))))))))
2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x)))))))))))))) → 2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x))))))))))))))))))
2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x)))))))))))))) → 2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x))))))))))))))))))
2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x)))))))))))))) → 2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x))))))))))))))))))
0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x))))))))))))))))))
0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x))))))))))))))))))
0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x))))))))))))))))))
1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x))))))))))))))))))
1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x))))))))))))))))))
1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x))))))))))))))))))
2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x)))))))))))))) → 2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x))))))))))))))))))
2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x)))))))))))))) → 2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x))))))))))))))))))
2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x)))))))))))))) → 2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x))))))))))))))))))
0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x))))))))))))))))))
0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x))))))))))))))))))
0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x))))))))))))))))))
1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x))))))))))))))))))
1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x))))))))))))))))))
1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x))))))))))))))))))
2_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(x)))))))))))))) → 2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x))))))))))))))))))
2_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(x)))))))))))))) → 2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x))))))))))))))))))
2_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(x)))))))))))))) → 2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x))))))))))))))))))
0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x)))))))))))))) → 0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x))))))))))))))))))
0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x)))))))))))))) → 0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x))))))))))))))))))
0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x)))))))))))))) → 0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x))))))))))))))))))
1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x)))))))))))))) → 1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x))))))))))))))))))
1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x)))))))))))))) → 1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x))))))))))))))))))
1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x)))))))))))))) → 1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x))))))))))))))))))
2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x)))))))))))))) → 2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x))))))))))))))))))
2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x)))))))))))))) → 2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x))))))))))))))))))
2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x)))))))))))))) → 2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x))))))))))))))))))
0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))) → 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))))))))
0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))) → 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))))))))
0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))) → 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))))))))
1_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))) → 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))))))))
1_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))) → 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))))))))
1_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))) → 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))))))))
2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))) → 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))))))))
2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))) → 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))))))))
2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))) → 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))))))))
0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x)))))))))))))) → 0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x))))))))))))))))))
0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x)))))))))))))) → 0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x))))))))))))))))))
0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x)))))))))))))) → 0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x))))))))))))))))))
1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x)))))))))))))) → 1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x))))))))))))))))))
1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x)))))))))))))) → 1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x))))))))))))))))))
1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x)))))))))))))) → 1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x))))))))))))))))))
2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x)))))))))))))) → 2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x))))))))))))))))))
2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x)))))))))))))) → 2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x))))))))))))))))))
2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x)))))))))))))) → 2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x))))))))))))))))))
0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))))))))
0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))))))))
0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))))))))
1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))))))))
1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))))))))
1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))))))))
2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))) → 2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))))))))
2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))) → 2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))))))))
2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))) → 2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))))))))
0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))) → 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))))))))
0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))) → 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))))))))
0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))) → 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))))))))
1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))) → 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))))))))
1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))) → 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))))))))
1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))) → 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))))))))
2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x)))))))))))))) → 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))))))))
2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x)))))))))))))) → 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))))))))
2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x)))))))))))))) → 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))))))))
0_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x)))))))))))))) → 0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))))))))
0_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x)))))))))))))) → 0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))))))))
0_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x)))))))))))))) → 0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))))))))
1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x)))))))))))))) → 1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))))))))
1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x)))))))))))))) → 1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))))))))
1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x)))))))))))))) → 1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))))))))

(6) Obligation:

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

1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x)))))))))))))))))
1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x)))))))))))))))))
1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x)))))))))))))))))
1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))))))
1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))))))
1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))))))
1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x)))))))))))))))))
1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x)))))))))))))))))
1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x)))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x))))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x))))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x))))))))))))))))))
2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x)))))))))))))) → 2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))))))))
2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x)))))))))))))) → 2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))))))))
2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x)))))))))))))) → 2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))))))))

Q is empty.

(7) QTRSRRRProof (EQUIVALENT transformation)

Used ordering:
Polynomial interpretation [POLO]:

POL(0_{0_1}(x₁)) = x₁
POL(0_{1_1}(x₁)) = x₁
POL(0_{2_1}(x₁)) = x₁
POL(1_{0_1}(x₁)) = x₁
POL(1_{1_1}(x₁)) = x₁
POL(1_{2_1}(x₁)) = 1 + x₁
POL(2_{0_1}(x₁)) = x₁
POL(2_{1_1}(x₁)) = x₁
POL(2_{2_1}(x₁)) = x₁

With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:

1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x)))))))))))))))))
1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x)))))))))))))))))
1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x)))))))))))))))))

(8) Obligation:

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

1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x)))))))))))))))))
1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x)))))))))))))))))
1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x)))))))))))))))))
1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))))))
1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))))))
1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x))))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x))))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x))))))))))))))))))
2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x)))))))))))))) → 2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))))))))
2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x)))))))))))))) → 2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))))))))
2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x)))))))))))))) → 2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))))))))

Q is empty.

(9) QTRSRRRProof (EQUIVALENT transformation)

Used ordering:
Polynomial interpretation [POLO]:

POL(0_{0_1}(x₁)) = x₁
POL(0_{1_1}(x₁)) = x₁
POL(0_{2_1}(x₁)) = 2 + x₁
POL(1_{0_1}(x₁)) = x₁
POL(1_{1_1}(x₁)) = x₁
POL(1_{2_1}(x₁)) = x₁
POL(2_{0_1}(x₁)) = x₁
POL(2_{1_1}(x₁)) = x₁
POL(2_{2_1}(x₁)) = 1 + x₁

With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:

2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x)))))))))))))) → 2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x))))))))))))))))))
2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x)))))))))))))) → 2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x))))))))))))))))))
2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x)))))))))))))) → 2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x))))))))))))))))))

(10) Obligation:

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

1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x)))))))))))))))))
1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x)))))))))))))))))
1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x)))))))))))))))))
1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))))))
1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))))))
1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x))))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x))))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x))))))))))))))))))

Q is empty.

(11) Overlay + Local Confluence (EQUIVALENT transformation)

The TRS is overlay and locally confluent. By [NOC] we can switch to innermost.

(12) Obligation:

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

1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x)))))))))))))))))
1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x)))))))))))))))))
1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x)))))))))))))))))
1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))))))
1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))))))
1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x))))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x))))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x))))))))))))))))))

The set Q consists of the following terms:

1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(x0)))))))))))))
1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(x0)))))))))))))
1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(x0)))))))))))))
1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x0)))))))))))))
1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x0)))))))))))))
1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x0)))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x0))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x0))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x0))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x0))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x0))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x0))))))))))))))

(13) DependencyPairsProof (EQUIVALENT transformation)

Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem.

(14) Obligation:

Q DP problem:
The TRS P consists of the following rules:

1_{0_1}¹(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(x))))))))))))) → 1_{0_1}¹(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x)))))))))))))))))
1_{0_1}¹(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(x))))))))))))) → 0_{1_1}¹(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x))))))))))))))
1_{0_1}¹(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(x))))))))))))) → 1_{0_1}¹(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x)))))))))))))
1_{0_1}¹(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(x))))))))))))) → 0_{1_1}¹(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x)))))))))
1_{0_1}¹(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(x))))))))))))) → 1_{1_1}¹(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x))))))))
1_{0_1}¹(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(x))))))))))))) → 1_{1_1}¹(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x)))))))
1_{0_1}¹(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(x))))))))))))) → 1_{0_1}¹(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x))))))
1_{0_1}¹(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(x))))))))))))) → 0_{1_1}¹(1_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x)))))
1_{0_1}¹(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(x))))))))))))) → 1_{0_1}¹(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x)))))))))))))))))
1_{0_1}¹(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(x))))))))))))) → 0_{1_1}¹(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x))))))))))))))
1_{0_1}¹(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(x))))))))))))) → 1_{0_1}¹(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x)))))))))))))
1_{0_1}¹(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(x))))))))))))) → 0_{1_1}¹(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x)))))))))
1_{0_1}¹(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(x))))))))))))) → 1_{1_1}¹(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x))))))))
1_{0_1}¹(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(x))))))))))))) → 1_{1_1}¹(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x)))))))
1_{0_1}¹(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(x))))))))))))) → 1_{0_1}¹(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x))))))
1_{0_1}¹(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(x))))))))))))) → 0_{1_1}¹(1_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x)))))
1_{0_1}¹(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(x))))))))))))) → 1_{0_1}¹(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x)))))))))))))))))
1_{0_1}¹(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(x))))))))))))) → 0_{1_1}¹(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x))))))))))))))
1_{0_1}¹(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(x))))))))))))) → 1_{0_1}¹(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x)))))))))))))
1_{0_1}¹(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(x))))))))))))) → 0_{1_1}¹(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x)))))))))
1_{0_1}¹(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(x))))))))))))) → 1_{1_1}¹(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x))))))))
1_{0_1}¹(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(x))))))))))))) → 1_{1_1}¹(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x)))))))
1_{0_1}¹(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(x))))))))))))) → 1_{0_1}¹(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x))))))
1_{0_1}¹(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(x))))))))))))) → 0_{1_1}¹(1_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x)))))
1_{1_1}¹(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x))))))))))))) → 1_{1_1}¹(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))))))
1_{1_1}¹(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x))))))))))))) → 1_{1_1}¹(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x))))))))))))))))
1_{1_1}¹(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x))))))))))))) → 1_{0_1}¹(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))))
1_{1_1}¹(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x))))))))))))) → 0_{1_1}¹(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))
1_{1_1}¹(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x))))))))))))) → 1_{0_1}¹(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x))))))))))))
1_{1_1}¹(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x))))))))))))) → 0_{1_1}¹(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))
1_{1_1}¹(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x))))))))))))) → 1_{1_1}¹(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x))))))))))
1_{1_1}¹(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x))))))))))))) → 1_{0_1}¹(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))
1_{1_1}¹(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x))))))))))))) → 0_{1_1}¹(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x))))))))
1_{1_1}¹(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x))))))))))))) → 1_{0_1}¹(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))
1_{1_1}¹(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x))))))))))))) → 1_{0_1}¹(0_{2_1}(2_{0_1}(x)))
1_{1_1}¹(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x))))))))))))) → 1_{1_1}¹(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))))))
1_{1_1}¹(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x))))))))))))) → 1_{1_1}¹(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x))))))))))))))))
1_{1_1}¹(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x))))))))))))) → 1_{0_1}¹(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))))
1_{1_1}¹(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x))))))))))))) → 0_{1_1}¹(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))
1_{1_1}¹(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x))))))))))))) → 1_{0_1}¹(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x))))))))))))
1_{1_1}¹(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x))))))))))))) → 0_{1_1}¹(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))
1_{1_1}¹(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x))))))))))))) → 1_{1_1}¹(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x))))))))))
1_{1_1}¹(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x))))))))))))) → 1_{0_1}¹(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))
1_{1_1}¹(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x))))))))))))) → 0_{1_1}¹(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x))))))))
1_{1_1}¹(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x))))))))))))) → 1_{0_1}¹(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))
1_{1_1}¹(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x))))))))))))) → 1_{0_1}¹(0_{2_1}(2_{1_1}(x)))
1_{1_1}¹(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x))))))))))))) → 1_{1_1}¹(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))))))
1_{1_1}¹(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x))))))))))))) → 1_{1_1}¹(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x))))))))))))))))
1_{1_1}¹(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x))))))))))))) → 1_{0_1}¹(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))))
1_{1_1}¹(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x))))))))))))) → 0_{1_1}¹(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))
1_{1_1}¹(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x))))))))))))) → 1_{0_1}¹(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x))))))))))))
1_{1_1}¹(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x))))))))))))) → 0_{1_1}¹(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))
1_{1_1}¹(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x))))))))))))) → 1_{1_1}¹(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x))))))))))
1_{1_1}¹(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x))))))))))))) → 1_{0_1}¹(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))
1_{1_1}¹(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x))))))))))))) → 0_{1_1}¹(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x))))))))
1_{1_1}¹(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x))))))))))))) → 1_{0_1}¹(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))
1_{1_1}¹(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x))))))))))))) → 1_{0_1}¹(0_{2_1}(2_{2_1}(x)))
0_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))) → 0_{1_1}¹(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x)))))))))))))))))
0_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))) → 1_{1_1}¹(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x))))))))))))))))
0_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))) → 1_{0_1}¹(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x)))))))))))))))
0_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))) → 0_{1_1}¹(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x))))))))))))))
0_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))) → 1_{0_1}¹(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x)))))))))))))
0_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))) → 0_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x)))))))))))
0_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))) → 1_{0_1}¹(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x))))))))))
0_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))) → 0_{1_1}¹(1_{2_1}(2_{0_1}(x)))
0_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))) → 0_{1_1}¹(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x)))))))))))))))))
0_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))) → 1_{1_1}¹(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x))))))))))))))))
0_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))) → 1_{0_1}¹(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x)))))))))))))))
0_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))) → 0_{1_1}¹(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x))))))))))))))
0_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))) → 1_{0_1}¹(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x)))))))))))))
0_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))) → 0_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x)))))))))))
0_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))) → 1_{0_1}¹(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x))))))))))
0_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))) → 0_{1_1}¹(1_{2_1}(2_{1_1}(x)))
0_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))) → 0_{1_1}¹(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x)))))))))))))))))
0_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))) → 1_{1_1}¹(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x))))))))))))))))
0_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))) → 1_{0_1}¹(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x)))))))))))))))
0_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))) → 0_{1_1}¹(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x))))))))))))))
0_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))) → 1_{0_1}¹(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x)))))))))))))
0_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))) → 0_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x)))))))))))
0_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))) → 1_{0_1}¹(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x))))))))))
0_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))) → 0_{1_1}¹(1_{2_1}(2_{2_1}(x)))
1_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))) → 1_{0_1}¹(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x))))))))))))))))))
1_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))) → 0_{1_1}¹(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x)))))))))))))))))
1_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))) → 1_{1_1}¹(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x))))))))))))))))
1_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))) → 1_{0_1}¹(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x)))))))))))))))
1_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))) → 0_{1_1}¹(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x))))))))))))))
1_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))) → 1_{0_1}¹(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x)))))))))))))
1_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))) → 0_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x)))))))))))
1_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))) → 1_{0_1}¹(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x))))))))))
1_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))) → 0_{1_1}¹(1_{2_1}(2_{0_1}(x)))
1_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))) → 1_{0_1}¹(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x))))))))))))))))))
1_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))) → 0_{1_1}¹(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x)))))))))))))))))
1_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))) → 1_{1_1}¹(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x))))))))))))))))
1_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))) → 1_{0_1}¹(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x)))))))))))))))
1_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))) → 0_{1_1}¹(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x))))))))))))))
1_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))) → 1_{0_1}¹(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x)))))))))))))
1_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))) → 0_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x)))))))))))
1_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))) → 1_{0_1}¹(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x))))))))))
1_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))) → 0_{1_1}¹(1_{2_1}(2_{1_1}(x)))
1_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))) → 1_{0_1}¹(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x))))))))))))))))))
1_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))) → 0_{1_1}¹(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x)))))))))))))))))
1_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))) → 1_{1_1}¹(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x))))))))))))))))
1_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))) → 1_{0_1}¹(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x)))))))))))))))
1_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))) → 0_{1_1}¹(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x))))))))))))))
1_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))) → 1_{0_1}¹(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x)))))))))))))
1_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))) → 0_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x)))))))))))
1_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))) → 1_{0_1}¹(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x))))))))))
1_{1_1}¹(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))) → 0_{1_1}¹(1_{2_1}(2_{2_1}(x)))

The TRS R consists of the following rules:

1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x)))))))))))))))))
1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x)))))))))))))))))
1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(x))))))))))))) → 1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x)))))))))))))))))
1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))))))
1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))))))
1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x))))))))))))) → 1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x))))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x))))))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))) → 0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x))))))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x)))))))))))))) → 1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x))))))))))))))))))

The set Q consists of the following terms:

1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(x0)))))))))))))
1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(x0)))))))))))))
1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(x0)))))))))))))
1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x0)))))))))))))
1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x0)))))))))))))
1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x0)))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x0))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x0))))))))))))))
0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x0))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x0))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x0))))))))))))))
1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x0))))))))))))))

We have to consider all minimal (P,Q,R)-chains.

(15) DependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 108 less nodes.

(0) Obligation:

(1) FlatCCProof (EQUIVALENT transformation)

(2) Obligation:

(3) RootLabelingProof (EQUIVALENT transformation)

(4) Obligation:

(5) QTRSRRRProof (EQUIVALENT transformation)

(6) Obligation:

(7) QTRSRRRProof (EQUIVALENT transformation)

(8) Obligation:

(9) QTRSRRRProof (EQUIVALENT transformation)

(10) Obligation:

(11) Overlay + Local Confluence (EQUIVALENT transformation)

(12) Obligation:

(13) DependencyPairsProof (EQUIVALENT transformation)

(14) Obligation:

(15) DependencyGraphProof (EQUIVALENT transformation)

(16) TRUE