YES
proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


Termination of the given RelTRS could be proven:

(0) RelTRS
(1) FlatCCProof [EQUIVALENT, 236 ms]
(2) RelTRS
(3) RootLabelingProof [EQUIVALENT, 4128 ms]
(4) RelTRS
(5) RelTRSRRRProof [EQUIVALENT, 1406 ms]
(6) RelTRS
(7) RelTRSRRRProof [EQUIVALENT, 87 ms]
(8) RelTRS
(9) RelTRSRRRProof [EQUIVALENT, 17 ms]
(10) RelTRS
(11) SIsEmptyProof [EQUIVALENT, 0 ms]
(12) QTRS
(13) RFCMatchBoundsTRSProof [EQUIVALENT, 12 ms]
(14) YES


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

(0)
Obligation:
Relative term rewrite system:
The relative TRS consists of the following R rules:

   0(1(0(1(x1)))) -> 0(1(1(1(0(0(1(2(2(2(x1))))))))))
   0(3(4(4(x1)))) -> 0(0(0(3(1(1(4(2(2(0(x1))))))))))
   1(5(1(5(4(x1))))) -> 1(0(0(2(2(0(5(2(2(4(x1))))))))))
   3(4(5(3(4(x1))))) -> 3(5(0(2(1(1(1(2(1(4(x1))))))))))
   4(3(4(3(4(x1))))) -> 2(1(1(1(4(1(2(4(2(0(x1))))))))))
   5(0(1(0(1(x1))))) -> 5(0(2(0(1(1(4(2(1(2(x1))))))))))
   1(0(1(0(1(4(x1)))))) -> 1(0(2(4(5(4(2(4(2(4(x1))))))))))
   1(1(3(4(1(5(x1)))))) -> 1(1(0(0(2(2(5(2(0(0(x1))))))))))
   1(3(1(1(3(3(x1)))))) -> 1(2(4(2(0(2(1(0(2(5(x1))))))))))
   1(3(1(5(2(3(x1)))))) -> 1(4(3(2(1(0(0(2(4(3(x1))))))))))
   1(5(0(5(5(3(x1)))))) -> 2(1(1(1(1(2(1(3(5(3(x1))))))))))
   2(1(3(1(5(5(x1)))))) -> 1(1(2(2(0(5(0(0(2(2(x1))))))))))
   2(2(4(3(4(5(x1)))))) -> 2(0(1(4(0(0(2(0(0(0(x1))))))))))
   2(3(1(0(3(4(x1)))))) -> 0(0(1(1(5(2(4(1(1(4(x1))))))))))
   2(3(3(4(1(5(x1)))))) -> 0(0(2(4(4(2(0(4(1(3(x1))))))))))
   2(5(0(5(5(1(x1)))))) -> 3(0(1(4(4(0(0(0(0(1(x1))))))))))
   3(0(4(3(3(4(x1)))))) -> 2(3(0(3(5(1(2(4(2(4(x1))))))))))
   3(2(3(3(0(4(x1)))))) -> 5(4(2(2(0(0(4(2(4(4(x1))))))))))
   3(3(5(4(3(4(x1)))))) -> 0(5(1(1(0(4(0(2(4(4(x1))))))))))
   3(5(4(2(1(0(x1)))))) -> 2(5(0(0(0(0(0(4(4(0(x1))))))))))
   4(1(3(4(3(1(x1)))))) -> 4(2(5(0(1(0(0(0(4(4(x1))))))))))
   4(2(1(0(2(5(x1)))))) -> 4(2(5(4(2(2(2(4(2(5(x1))))))))))
   4(3(3(5(1(1(x1)))))) -> 4(4(2(4(4(2(5(0(1(2(x1))))))))))
   5(4(0(1(3(0(x1)))))) -> 0(2(4(2(2(1(2(0(0(0(x1))))))))))
   0(4(1(5(5(3(5(x1))))))) -> 0(2(2(0(1(2(5(2(5(0(x1))))))))))
   0(4(4(3(4(1(3(x1))))))) -> 0(4(2(4(1(3(2(0(2(2(x1))))))))))
   1(3(3(4(5(2(5(x1))))))) -> 1(1(1(4(5(1(2(5(2(4(x1))))))))))
   1(5(2(5(1(5(2(x1))))))) -> 1(2(3(0(2(3(0(1(0(2(x1))))))))))
   1(5(3(2(4(5(4(x1))))))) -> 1(1(0(3(0(0(0(0(3(4(x1))))))))))
   1(5(5(5(3(2(1(x1))))))) -> 1(4(1(4(2(1(3(0(1(1(x1))))))))))
   2(1(2(3(1(3(3(x1))))))) -> 2(1(4(1(5(1(1(1(1(1(x1))))))))))
   3(0(2(1(3(2(1(x1))))))) -> 1(2(0(0(3(3(4(2(2(1(x1))))))))))
   3(0(4(4(3(4(5(x1))))))) -> 1(2(2(4(3(2(2(2(0(4(x1))))))))))
   3(1(3(1(5(4(1(x1))))))) -> 0(1(2(2(5(5(5(4(2(0(x1))))))))))
   3(2(5(2(1(3(4(x1))))))) -> 0(2(1(3(1(2(1(4(2(2(x1))))))))))
   3(3(1(3(1(3(3(x1))))))) -> 1(2(1(3(0(5(5(1(2(1(x1))))))))))
   3(3(1(5(0(3(4(x1))))))) -> 2(0(0(5(1(2(1(4(1(4(x1))))))))))
   3(3(3(5(2(4(5(x1))))))) -> 3(1(0(0(1(4(2(2(0(5(x1))))))))))
   3(4(3(3(4(3(5(x1))))))) -> 5(1(1(1(1(1(4(2(3(3(x1))))))))))
   3(4(3(4(4(3(2(x1))))))) -> 2(5(4(5(3(4(2(4(4(0(x1))))))))))
   4(1(3(4(1(0(2(x1))))))) -> 4(4(1(5(1(2(1(4(2(2(x1))))))))))
   4(5(0(4(1(3(1(x1))))))) -> 1(1(1(2(0(0(4(4(5(1(x1))))))))))
   4(5(0(5(3(2(1(x1))))))) -> 1(1(4(1(3(0(2(4(2(1(x1))))))))))
   4(5(0(5(3(4(5(x1))))))) -> 1(1(1(0(5(4(0(2(4(5(x1))))))))))
   4(5(3(1(4(4(3(x1))))))) -> 4(5(5(5(4(2(4(4(2(3(x1))))))))))
   4(5(3(4(1(4(5(x1))))))) -> 4(5(4(0(2(0(1(2(1(0(x1))))))))))
   4(5(4(3(4(1(0(x1))))))) -> 1(4(1(1(2(4(0(1(2(0(x1))))))))))
   5(3(2(1(5(3(4(x1))))))) -> 5(1(2(1(3(3(5(1(2(4(x1))))))))))
   5(3(4(3(1(3(3(x1))))))) -> 5(1(1(4(2(4(3(3(4(3(x1))))))))))
   5(3(4(4(3(1(2(x1))))))) -> 5(1(0(5(0(3(5(1(1(1(x1))))))))))
   5(4(3(2(3(1(3(x1))))))) -> 0(0(0(2(3(0(2(5(4(3(x1))))))))))
   5(4(3(4(3(1(5(x1))))))) -> 0(2(0(0(0(0(4(1(5(0(x1))))))))))
   5(5(3(3(3(5(4(x1))))))) -> 0(3(5(2(2(1(0(4(2(2(x1))))))))))
   5(5(4(5(3(5(5(x1))))))) -> 5(2(4(2(2(2(4(1(5(2(x1))))))))))

The relative TRS consists of the following S rules:

   0(4(3(4(3(1(x1)))))) -> 2(5(0(3(0(2(2(4(0(0(x1))))))))))
   2(3(2(5(5(3(x1)))))) -> 0(0(2(3(1(2(2(1(0(4(x1))))))))))
   5(0(1(5(1(5(x1)))))) -> 5(0(1(4(0(1(1(0(0(2(x1))))))))))
   1(3(1(3(5(4(1(x1))))))) -> 1(0(4(0(0(5(1(0(5(4(x1))))))))))
   3(3(2(4(5(1(2(x1))))))) -> 5(1(1(5(1(4(1(2(2(2(x1))))))))))
   4(4(5(3(1(1(0(x1))))))) -> 4(0(5(0(1(2(2(2(0(2(x1))))))))))


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

(1) FlatCCProof (EQUIVALENT)
We used flat context closure [ROOTLAB]

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

(2)
Obligation:
Relative term rewrite system:
The relative TRS consists of the following R rules:

   0(1(0(1(x1)))) -> 0(1(1(1(0(0(1(2(2(2(x1))))))))))
   0(3(4(4(x1)))) -> 0(0(0(3(1(1(4(2(2(0(x1))))))))))
   1(5(1(5(4(x1))))) -> 1(0(0(2(2(0(5(2(2(4(x1))))))))))
   3(4(5(3(4(x1))))) -> 3(5(0(2(1(1(1(2(1(4(x1))))))))))
   5(0(1(0(1(x1))))) -> 5(0(2(0(1(1(4(2(1(2(x1))))))))))
   1(0(1(0(1(4(x1)))))) -> 1(0(2(4(5(4(2(4(2(4(x1))))))))))
   1(1(3(4(1(5(x1)))))) -> 1(1(0(0(2(2(5(2(0(0(x1))))))))))
   1(3(1(1(3(3(x1)))))) -> 1(2(4(2(0(2(1(0(2(5(x1))))))))))
   1(3(1(5(2(3(x1)))))) -> 1(4(3(2(1(0(0(2(4(3(x1))))))))))
   2(2(4(3(4(5(x1)))))) -> 2(0(1(4(0(0(2(0(0(0(x1))))))))))
   4(1(3(4(3(1(x1)))))) -> 4(2(5(0(1(0(0(0(4(4(x1))))))))))
   4(2(1(0(2(5(x1)))))) -> 4(2(5(4(2(2(2(4(2(5(x1))))))))))
   4(3(3(5(1(1(x1)))))) -> 4(4(2(4(4(2(5(0(1(2(x1))))))))))
   0(4(1(5(5(3(5(x1))))))) -> 0(2(2(0(1(2(5(2(5(0(x1))))))))))
   0(4(4(3(4(1(3(x1))))))) -> 0(4(2(4(1(3(2(0(2(2(x1))))))))))
   1(3(3(4(5(2(5(x1))))))) -> 1(1(1(4(5(1(2(5(2(4(x1))))))))))
   1(5(2(5(1(5(2(x1))))))) -> 1(2(3(0(2(3(0(1(0(2(x1))))))))))
   1(5(3(2(4(5(4(x1))))))) -> 1(1(0(3(0(0(0(0(3(4(x1))))))))))
   1(5(5(5(3(2(1(x1))))))) -> 1(4(1(4(2(1(3(0(1(1(x1))))))))))
   2(1(2(3(1(3(3(x1))))))) -> 2(1(4(1(5(1(1(1(1(1(x1))))))))))
   3(3(3(5(2(4(5(x1))))))) -> 3(1(0(0(1(4(2(2(0(5(x1))))))))))
   4(1(3(4(1(0(2(x1))))))) -> 4(4(1(5(1(2(1(4(2(2(x1))))))))))
   4(5(3(1(4(4(3(x1))))))) -> 4(5(5(5(4(2(4(4(2(3(x1))))))))))
   4(5(3(4(1(4(5(x1))))))) -> 4(5(4(0(2(0(1(2(1(0(x1))))))))))
   5(3(2(1(5(3(4(x1))))))) -> 5(1(2(1(3(3(5(1(2(4(x1))))))))))
   5(3(4(3(1(3(3(x1))))))) -> 5(1(1(4(2(4(3(3(4(3(x1))))))))))
   5(3(4(4(3(1(2(x1))))))) -> 5(1(0(5(0(3(5(1(1(1(x1))))))))))
   5(5(4(5(3(5(5(x1))))))) -> 5(2(4(2(2(2(4(1(5(2(x1))))))))))
   0(4(3(4(3(4(x1)))))) -> 0(2(1(1(1(4(1(2(4(2(0(x1)))))))))))
   1(4(3(4(3(4(x1)))))) -> 1(2(1(1(1(4(1(2(4(2(0(x1)))))))))))
   2(4(3(4(3(4(x1)))))) -> 2(2(1(1(1(4(1(2(4(2(0(x1)))))))))))
   3(4(3(4(3(4(x1)))))) -> 3(2(1(1(1(4(1(2(4(2(0(x1)))))))))))
   4(4(3(4(3(4(x1)))))) -> 4(2(1(1(1(4(1(2(4(2(0(x1)))))))))))
   5(4(3(4(3(4(x1)))))) -> 5(2(1(1(1(4(1(2(4(2(0(x1)))))))))))
   0(1(5(0(5(5(3(x1))))))) -> 0(2(1(1(1(1(2(1(3(5(3(x1)))))))))))
   1(1(5(0(5(5(3(x1))))))) -> 1(2(1(1(1(1(2(1(3(5(3(x1)))))))))))
   2(1(5(0(5(5(3(x1))))))) -> 2(2(1(1(1(1(2(1(3(5(3(x1)))))))))))
   3(1(5(0(5(5(3(x1))))))) -> 3(2(1(1(1(1(2(1(3(5(3(x1)))))))))))
   4(1(5(0(5(5(3(x1))))))) -> 4(2(1(1(1(1(2(1(3(5(3(x1)))))))))))
   5(1(5(0(5(5(3(x1))))))) -> 5(2(1(1(1(1(2(1(3(5(3(x1)))))))))))
   0(2(1(3(1(5(5(x1))))))) -> 0(1(1(2(2(0(5(0(0(2(2(x1)))))))))))
   1(2(1(3(1(5(5(x1))))))) -> 1(1(1(2(2(0(5(0(0(2(2(x1)))))))))))
   2(2(1(3(1(5(5(x1))))))) -> 2(1(1(2(2(0(5(0(0(2(2(x1)))))))))))
   3(2(1(3(1(5(5(x1))))))) -> 3(1(1(2(2(0(5(0(0(2(2(x1)))))))))))
   4(2(1(3(1(5(5(x1))))))) -> 4(1(1(2(2(0(5(0(0(2(2(x1)))))))))))
   5(2(1(3(1(5(5(x1))))))) -> 5(1(1(2(2(0(5(0(0(2(2(x1)))))))))))
   0(2(3(1(0(3(4(x1))))))) -> 0(0(0(1(1(5(2(4(1(1(4(x1)))))))))))
   1(2(3(1(0(3(4(x1))))))) -> 1(0(0(1(1(5(2(4(1(1(4(x1)))))))))))
   2(2(3(1(0(3(4(x1))))))) -> 2(0(0(1(1(5(2(4(1(1(4(x1)))))))))))
   3(2(3(1(0(3(4(x1))))))) -> 3(0(0(1(1(5(2(4(1(1(4(x1)))))))))))
   4(2(3(1(0(3(4(x1))))))) -> 4(0(0(1(1(5(2(4(1(1(4(x1)))))))))))
   5(2(3(1(0(3(4(x1))))))) -> 5(0(0(1(1(5(2(4(1(1(4(x1)))))))))))
   0(2(3(3(4(1(5(x1))))))) -> 0(0(0(2(4(4(2(0(4(1(3(x1)))))))))))
   1(2(3(3(4(1(5(x1))))))) -> 1(0(0(2(4(4(2(0(4(1(3(x1)))))))))))
   2(2(3(3(4(1(5(x1))))))) -> 2(0(0(2(4(4(2(0(4(1(3(x1)))))))))))
   3(2(3(3(4(1(5(x1))))))) -> 3(0(0(2(4(4(2(0(4(1(3(x1)))))))))))
   4(2(3(3(4(1(5(x1))))))) -> 4(0(0(2(4(4(2(0(4(1(3(x1)))))))))))
   5(2(3(3(4(1(5(x1))))))) -> 5(0(0(2(4(4(2(0(4(1(3(x1)))))))))))
   0(2(5(0(5(5(1(x1))))))) -> 0(3(0(1(4(4(0(0(0(0(1(x1)))))))))))
   1(2(5(0(5(5(1(x1))))))) -> 1(3(0(1(4(4(0(0(0(0(1(x1)))))))))))
   2(2(5(0(5(5(1(x1))))))) -> 2(3(0(1(4(4(0(0(0(0(1(x1)))))))))))
   3(2(5(0(5(5(1(x1))))))) -> 3(3(0(1(4(4(0(0(0(0(1(x1)))))))))))
   4(2(5(0(5(5(1(x1))))))) -> 4(3(0(1(4(4(0(0(0(0(1(x1)))))))))))
   5(2(5(0(5(5(1(x1))))))) -> 5(3(0(1(4(4(0(0(0(0(1(x1)))))))))))
   0(3(0(4(3(3(4(x1))))))) -> 0(2(3(0(3(5(1(2(4(2(4(x1)))))))))))
   1(3(0(4(3(3(4(x1))))))) -> 1(2(3(0(3(5(1(2(4(2(4(x1)))))))))))
   2(3(0(4(3(3(4(x1))))))) -> 2(2(3(0(3(5(1(2(4(2(4(x1)))))))))))
   3(3(0(4(3(3(4(x1))))))) -> 3(2(3(0(3(5(1(2(4(2(4(x1)))))))))))
   4(3(0(4(3(3(4(x1))))))) -> 4(2(3(0(3(5(1(2(4(2(4(x1)))))))))))
   5(3(0(4(3(3(4(x1))))))) -> 5(2(3(0(3(5(1(2(4(2(4(x1)))))))))))
   0(3(2(3(3(0(4(x1))))))) -> 0(5(4(2(2(0(0(4(2(4(4(x1)))))))))))
   1(3(2(3(3(0(4(x1))))))) -> 1(5(4(2(2(0(0(4(2(4(4(x1)))))))))))
   2(3(2(3(3(0(4(x1))))))) -> 2(5(4(2(2(0(0(4(2(4(4(x1)))))))))))
   3(3(2(3(3(0(4(x1))))))) -> 3(5(4(2(2(0(0(4(2(4(4(x1)))))))))))
   4(3(2(3(3(0(4(x1))))))) -> 4(5(4(2(2(0(0(4(2(4(4(x1)))))))))))
   5(3(2(3(3(0(4(x1))))))) -> 5(5(4(2(2(0(0(4(2(4(4(x1)))))))))))
   0(3(3(5(4(3(4(x1))))))) -> 0(0(5(1(1(0(4(0(2(4(4(x1)))))))))))
   1(3(3(5(4(3(4(x1))))))) -> 1(0(5(1(1(0(4(0(2(4(4(x1)))))))))))
   2(3(3(5(4(3(4(x1))))))) -> 2(0(5(1(1(0(4(0(2(4(4(x1)))))))))))
   3(3(3(5(4(3(4(x1))))))) -> 3(0(5(1(1(0(4(0(2(4(4(x1)))))))))))
   4(3(3(5(4(3(4(x1))))))) -> 4(0(5(1(1(0(4(0(2(4(4(x1)))))))))))
   5(3(3(5(4(3(4(x1))))))) -> 5(0(5(1(1(0(4(0(2(4(4(x1)))))))))))
   0(3(5(4(2(1(0(x1))))))) -> 0(2(5(0(0(0(0(0(4(4(0(x1)))))))))))
   1(3(5(4(2(1(0(x1))))))) -> 1(2(5(0(0(0(0(0(4(4(0(x1)))))))))))
   2(3(5(4(2(1(0(x1))))))) -> 2(2(5(0(0(0(0(0(4(4(0(x1)))))))))))
   3(3(5(4(2(1(0(x1))))))) -> 3(2(5(0(0(0(0(0(4(4(0(x1)))))))))))
   4(3(5(4(2(1(0(x1))))))) -> 4(2(5(0(0(0(0(0(4(4(0(x1)))))))))))
   5(3(5(4(2(1(0(x1))))))) -> 5(2(5(0(0(0(0(0(4(4(0(x1)))))))))))
   0(5(4(0(1(3(0(x1))))))) -> 0(0(2(4(2(2(1(2(0(0(0(x1)))))))))))
   1(5(4(0(1(3(0(x1))))))) -> 1(0(2(4(2(2(1(2(0(0(0(x1)))))))))))
   2(5(4(0(1(3(0(x1))))))) -> 2(0(2(4(2(2(1(2(0(0(0(x1)))))))))))
   3(5(4(0(1(3(0(x1))))))) -> 3(0(2(4(2(2(1(2(0(0(0(x1)))))))))))
   4(5(4(0(1(3(0(x1))))))) -> 4(0(2(4(2(2(1(2(0(0(0(x1)))))))))))
   5(5(4(0(1(3(0(x1))))))) -> 5(0(2(4(2(2(1(2(0(0(0(x1)))))))))))
   0(3(0(2(1(3(2(1(x1)))))))) -> 0(1(2(0(0(3(3(4(2(2(1(x1)))))))))))
   1(3(0(2(1(3(2(1(x1)))))))) -> 1(1(2(0(0(3(3(4(2(2(1(x1)))))))))))
   2(3(0(2(1(3(2(1(x1)))))))) -> 2(1(2(0(0(3(3(4(2(2(1(x1)))))))))))
   3(3(0(2(1(3(2(1(x1)))))))) -> 3(1(2(0(0(3(3(4(2(2(1(x1)))))))))))
   4(3(0(2(1(3(2(1(x1)))))))) -> 4(1(2(0(0(3(3(4(2(2(1(x1)))))))))))
   5(3(0(2(1(3(2(1(x1)))))))) -> 5(1(2(0(0(3(3(4(2(2(1(x1)))))))))))
   0(3(0(4(4(3(4(5(x1)))))))) -> 0(1(2(2(4(3(2(2(2(0(4(x1)))))))))))
   1(3(0(4(4(3(4(5(x1)))))))) -> 1(1(2(2(4(3(2(2(2(0(4(x1)))))))))))
   2(3(0(4(4(3(4(5(x1)))))))) -> 2(1(2(2(4(3(2(2(2(0(4(x1)))))))))))
   3(3(0(4(4(3(4(5(x1)))))))) -> 3(1(2(2(4(3(2(2(2(0(4(x1)))))))))))
   4(3(0(4(4(3(4(5(x1)))))))) -> 4(1(2(2(4(3(2(2(2(0(4(x1)))))))))))
   5(3(0(4(4(3(4(5(x1)))))))) -> 5(1(2(2(4(3(2(2(2(0(4(x1)))))))))))
   0(3(1(3(1(5(4(1(x1)))))))) -> 0(0(1(2(2(5(5(5(4(2(0(x1)))))))))))
   1(3(1(3(1(5(4(1(x1)))))))) -> 1(0(1(2(2(5(5(5(4(2(0(x1)))))))))))
   2(3(1(3(1(5(4(1(x1)))))))) -> 2(0(1(2(2(5(5(5(4(2(0(x1)))))))))))
   3(3(1(3(1(5(4(1(x1)))))))) -> 3(0(1(2(2(5(5(5(4(2(0(x1)))))))))))
   4(3(1(3(1(5(4(1(x1)))))))) -> 4(0(1(2(2(5(5(5(4(2(0(x1)))))))))))
   5(3(1(3(1(5(4(1(x1)))))))) -> 5(0(1(2(2(5(5(5(4(2(0(x1)))))))))))
   0(3(2(5(2(1(3(4(x1)))))))) -> 0(0(2(1(3(1(2(1(4(2(2(x1)))))))))))
   1(3(2(5(2(1(3(4(x1)))))))) -> 1(0(2(1(3(1(2(1(4(2(2(x1)))))))))))
   2(3(2(5(2(1(3(4(x1)))))))) -> 2(0(2(1(3(1(2(1(4(2(2(x1)))))))))))
   3(3(2(5(2(1(3(4(x1)))))))) -> 3(0(2(1(3(1(2(1(4(2(2(x1)))))))))))
   4(3(2(5(2(1(3(4(x1)))))))) -> 4(0(2(1(3(1(2(1(4(2(2(x1)))))))))))
   5(3(2(5(2(1(3(4(x1)))))))) -> 5(0(2(1(3(1(2(1(4(2(2(x1)))))))))))
   0(3(3(1(3(1(3(3(x1)))))))) -> 0(1(2(1(3(0(5(5(1(2(1(x1)))))))))))
   1(3(3(1(3(1(3(3(x1)))))))) -> 1(1(2(1(3(0(5(5(1(2(1(x1)))))))))))
   2(3(3(1(3(1(3(3(x1)))))))) -> 2(1(2(1(3(0(5(5(1(2(1(x1)))))))))))
   3(3(3(1(3(1(3(3(x1)))))))) -> 3(1(2(1(3(0(5(5(1(2(1(x1)))))))))))
   4(3(3(1(3(1(3(3(x1)))))))) -> 4(1(2(1(3(0(5(5(1(2(1(x1)))))))))))
   5(3(3(1(3(1(3(3(x1)))))))) -> 5(1(2(1(3(0(5(5(1(2(1(x1)))))))))))
   0(3(3(1(5(0(3(4(x1)))))))) -> 0(2(0(0(5(1(2(1(4(1(4(x1)))))))))))
   1(3(3(1(5(0(3(4(x1)))))))) -> 1(2(0(0(5(1(2(1(4(1(4(x1)))))))))))
   2(3(3(1(5(0(3(4(x1)))))))) -> 2(2(0(0(5(1(2(1(4(1(4(x1)))))))))))
   3(3(3(1(5(0(3(4(x1)))))))) -> 3(2(0(0(5(1(2(1(4(1(4(x1)))))))))))
   4(3(3(1(5(0(3(4(x1)))))))) -> 4(2(0(0(5(1(2(1(4(1(4(x1)))))))))))
   5(3(3(1(5(0(3(4(x1)))))))) -> 5(2(0(0(5(1(2(1(4(1(4(x1)))))))))))
   0(3(4(3(3(4(3(5(x1)))))))) -> 0(5(1(1(1(1(1(4(2(3(3(x1)))))))))))
   1(3(4(3(3(4(3(5(x1)))))))) -> 1(5(1(1(1(1(1(4(2(3(3(x1)))))))))))
   2(3(4(3(3(4(3(5(x1)))))))) -> 2(5(1(1(1(1(1(4(2(3(3(x1)))))))))))
   3(3(4(3(3(4(3(5(x1)))))))) -> 3(5(1(1(1(1(1(4(2(3(3(x1)))))))))))
   4(3(4(3(3(4(3(5(x1)))))))) -> 4(5(1(1(1(1(1(4(2(3(3(x1)))))))))))
   5(3(4(3(3(4(3(5(x1)))))))) -> 5(5(1(1(1(1(1(4(2(3(3(x1)))))))))))
   0(3(4(3(4(4(3(2(x1)))))))) -> 0(2(5(4(5(3(4(2(4(4(0(x1)))))))))))
   1(3(4(3(4(4(3(2(x1)))))))) -> 1(2(5(4(5(3(4(2(4(4(0(x1)))))))))))
   2(3(4(3(4(4(3(2(x1)))))))) -> 2(2(5(4(5(3(4(2(4(4(0(x1)))))))))))
   3(3(4(3(4(4(3(2(x1)))))))) -> 3(2(5(4(5(3(4(2(4(4(0(x1)))))))))))
   4(3(4(3(4(4(3(2(x1)))))))) -> 4(2(5(4(5(3(4(2(4(4(0(x1)))))))))))
   5(3(4(3(4(4(3(2(x1)))))))) -> 5(2(5(4(5(3(4(2(4(4(0(x1)))))))))))
   0(4(5(0(4(1(3(1(x1)))))))) -> 0(1(1(1(2(0(0(4(4(5(1(x1)))))))))))
   1(4(5(0(4(1(3(1(x1)))))))) -> 1(1(1(1(2(0(0(4(4(5(1(x1)))))))))))
   2(4(5(0(4(1(3(1(x1)))))))) -> 2(1(1(1(2(0(0(4(4(5(1(x1)))))))))))
   3(4(5(0(4(1(3(1(x1)))))))) -> 3(1(1(1(2(0(0(4(4(5(1(x1)))))))))))
   4(4(5(0(4(1(3(1(x1)))))))) -> 4(1(1(1(2(0(0(4(4(5(1(x1)))))))))))
   5(4(5(0(4(1(3(1(x1)))))))) -> 5(1(1(1(2(0(0(4(4(5(1(x1)))))))))))
   0(4(5(0(5(3(2(1(x1)))))))) -> 0(1(1(4(1(3(0(2(4(2(1(x1)))))))))))
   1(4(5(0(5(3(2(1(x1)))))))) -> 1(1(1(4(1(3(0(2(4(2(1(x1)))))))))))
   2(4(5(0(5(3(2(1(x1)))))))) -> 2(1(1(4(1(3(0(2(4(2(1(x1)))))))))))
   3(4(5(0(5(3(2(1(x1)))))))) -> 3(1(1(4(1(3(0(2(4(2(1(x1)))))))))))
   4(4(5(0(5(3(2(1(x1)))))))) -> 4(1(1(4(1(3(0(2(4(2(1(x1)))))))))))
   5(4(5(0(5(3(2(1(x1)))))))) -> 5(1(1(4(1(3(0(2(4(2(1(x1)))))))))))
   0(4(5(0(5(3(4(5(x1)))))))) -> 0(1(1(1(0(5(4(0(2(4(5(x1)))))))))))
   1(4(5(0(5(3(4(5(x1)))))))) -> 1(1(1(1(0(5(4(0(2(4(5(x1)))))))))))
   2(4(5(0(5(3(4(5(x1)))))))) -> 2(1(1(1(0(5(4(0(2(4(5(x1)))))))))))
   3(4(5(0(5(3(4(5(x1)))))))) -> 3(1(1(1(0(5(4(0(2(4(5(x1)))))))))))
   4(4(5(0(5(3(4(5(x1)))))))) -> 4(1(1(1(0(5(4(0(2(4(5(x1)))))))))))
   5(4(5(0(5(3(4(5(x1)))))))) -> 5(1(1(1(0(5(4(0(2(4(5(x1)))))))))))
   0(4(5(4(3(4(1(0(x1)))))))) -> 0(1(4(1(1(2(4(0(1(2(0(x1)))))))))))
   1(4(5(4(3(4(1(0(x1)))))))) -> 1(1(4(1(1(2(4(0(1(2(0(x1)))))))))))
   2(4(5(4(3(4(1(0(x1)))))))) -> 2(1(4(1(1(2(4(0(1(2(0(x1)))))))))))
   3(4(5(4(3(4(1(0(x1)))))))) -> 3(1(4(1(1(2(4(0(1(2(0(x1)))))))))))
   4(4(5(4(3(4(1(0(x1)))))))) -> 4(1(4(1(1(2(4(0(1(2(0(x1)))))))))))
   5(4(5(4(3(4(1(0(x1)))))))) -> 5(1(4(1(1(2(4(0(1(2(0(x1)))))))))))
   0(5(4(3(2(3(1(3(x1)))))))) -> 0(0(0(0(2(3(0(2(5(4(3(x1)))))))))))
   1(5(4(3(2(3(1(3(x1)))))))) -> 1(0(0(0(2(3(0(2(5(4(3(x1)))))))))))
   2(5(4(3(2(3(1(3(x1)))))))) -> 2(0(0(0(2(3(0(2(5(4(3(x1)))))))))))
   3(5(4(3(2(3(1(3(x1)))))))) -> 3(0(0(0(2(3(0(2(5(4(3(x1)))))))))))
   4(5(4(3(2(3(1(3(x1)))))))) -> 4(0(0(0(2(3(0(2(5(4(3(x1)))))))))))
   5(5(4(3(2(3(1(3(x1)))))))) -> 5(0(0(0(2(3(0(2(5(4(3(x1)))))))))))
   0(5(4(3(4(3(1(5(x1)))))))) -> 0(0(2(0(0(0(0(4(1(5(0(x1)))))))))))
   1(5(4(3(4(3(1(5(x1)))))))) -> 1(0(2(0(0(0(0(4(1(5(0(x1)))))))))))
   2(5(4(3(4(3(1(5(x1)))))))) -> 2(0(2(0(0(0(0(4(1(5(0(x1)))))))))))
   3(5(4(3(4(3(1(5(x1)))))))) -> 3(0(2(0(0(0(0(4(1(5(0(x1)))))))))))
   4(5(4(3(4(3(1(5(x1)))))))) -> 4(0(2(0(0(0(0(4(1(5(0(x1)))))))))))
   5(5(4(3(4(3(1(5(x1)))))))) -> 5(0(2(0(0(0(0(4(1(5(0(x1)))))))))))
   0(5(5(3(3(3(5(4(x1)))))))) -> 0(0(3(5(2(2(1(0(4(2(2(x1)))))))))))
   1(5(5(3(3(3(5(4(x1)))))))) -> 1(0(3(5(2(2(1(0(4(2(2(x1)))))))))))
   2(5(5(3(3(3(5(4(x1)))))))) -> 2(0(3(5(2(2(1(0(4(2(2(x1)))))))))))
   3(5(5(3(3(3(5(4(x1)))))))) -> 3(0(3(5(2(2(1(0(4(2(2(x1)))))))))))
   4(5(5(3(3(3(5(4(x1)))))))) -> 4(0(3(5(2(2(1(0(4(2(2(x1)))))))))))
   5(5(5(3(3(3(5(4(x1)))))))) -> 5(0(3(5(2(2(1(0(4(2(2(x1)))))))))))

The relative TRS consists of the following S rules:

   5(0(1(5(1(5(x1)))))) -> 5(0(1(4(0(1(1(0(0(2(x1))))))))))
   1(3(1(3(5(4(1(x1))))))) -> 1(0(4(0(0(5(1(0(5(4(x1))))))))))
   4(4(5(3(1(1(0(x1))))))) -> 4(0(5(0(1(2(2(2(0(2(x1))))))))))
   0(0(4(3(4(3(1(x1))))))) -> 0(2(5(0(3(0(2(2(4(0(0(x1)))))))))))
   1(0(4(3(4(3(1(x1))))))) -> 1(2(5(0(3(0(2(2(4(0(0(x1)))))))))))
   2(0(4(3(4(3(1(x1))))))) -> 2(2(5(0(3(0(2(2(4(0(0(x1)))))))))))
   3(0(4(3(4(3(1(x1))))))) -> 3(2(5(0(3(0(2(2(4(0(0(x1)))))))))))
   4(0(4(3(4(3(1(x1))))))) -> 4(2(5(0(3(0(2(2(4(0(0(x1)))))))))))
   5(0(4(3(4(3(1(x1))))))) -> 5(2(5(0(3(0(2(2(4(0(0(x1)))))))))))
   0(2(3(2(5(5(3(x1))))))) -> 0(0(0(2(3(1(2(2(1(0(4(x1)))))))))))
   1(2(3(2(5(5(3(x1))))))) -> 1(0(0(2(3(1(2(2(1(0(4(x1)))))))))))
   2(2(3(2(5(5(3(x1))))))) -> 2(0(0(2(3(1(2(2(1(0(4(x1)))))))))))
   3(2(3(2(5(5(3(x1))))))) -> 3(0(0(2(3(1(2(2(1(0(4(x1)))))))))))
   4(2(3(2(5(5(3(x1))))))) -> 4(0(0(2(3(1(2(2(1(0(4(x1)))))))))))
   5(2(3(2(5(5(3(x1))))))) -> 5(0(0(2(3(1(2(2(1(0(4(x1)))))))))))
   0(3(3(2(4(5(1(2(x1)))))))) -> 0(5(1(1(5(1(4(1(2(2(2(x1)))))))))))
   1(3(3(2(4(5(1(2(x1)))))))) -> 1(5(1(1(5(1(4(1(2(2(2(x1)))))))))))
   2(3(3(2(4(5(1(2(x1)))))))) -> 2(5(1(1(5(1(4(1(2(2(2(x1)))))))))))
   3(3(3(2(4(5(1(2(x1)))))))) -> 3(5(1(1(5(1(4(1(2(2(2(x1)))))))))))
   4(3(3(2(4(5(1(2(x1)))))))) -> 4(5(1(1(5(1(4(1(2(2(2(x1)))))))))))
   5(3(3(2(4(5(1(2(x1)))))))) -> 5(5(1(1(5(1(4(1(2(2(2(x1)))))))))))


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

(3) RootLabelingProof (EQUIVALENT)
We used plain root labeling [ROOTLAB] with the following heuristic:
LabelAll: All function symbols get labeled


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

(4)
Obligation:
Relative term rewrite system:
The relative TRS consists of the following R rules:

   0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))))))
   0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))))))
   0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))))))
   0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{3_1}(x1))))))))))
   0_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(x1))))))))))
   0_{1_1}(1_{0_1}(0_{1_1}(1_{5_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(x1))))))))))
   0_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))))))
   0_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))))))
   0_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))))))
   0_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))))))
   0_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))))))
   0_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))))))
   1_{5_1}(5_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(x1))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(x1))))))))))
   1_{5_1}(5_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(x1))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(x1))))))))))
   1_{5_1}(5_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(x1))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(x1))))))))))
   1_{5_1}(5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(x1))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(x1))))))))))
   1_{5_1}(5_{1_1}(1_{5_1}(5_{4_1}(4_{4_1}(x1))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(x1))))))))))
   1_{5_1}(5_{1_1}(1_{5_1}(5_{4_1}(4_{5_1}(x1))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{5_1}(x1))))))))))
   3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(x1))))) -> 3_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(x1))))))))))
   3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{1_1}(x1))))) -> 3_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(x1))))))))))
   3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(x1))))) -> 3_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(x1))))))))))
   3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(x1))))) -> 3_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(x1))))))))))
   3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(x1))))) -> 3_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(x1))))))))))
   3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(x1))))) -> 3_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(x1))))))))))
   5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1))))))))))
   5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1))))))))))
   5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1))))))))))
   5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(x1))))) -> 5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{3_1}(x1))))))))))
   5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(x1))))) -> 5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{4_1}(x1))))))))))
   5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{5_1}(x1))))) -> 5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(x1))))))))))
   1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{0_1}(x1))))))))))
   1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(x1))))))))))
   1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{2_1}(x1))))))))))
   1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{3_1}(x1))))))))))
   1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(x1))))))))))
   1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{5_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(x1))))))))))
   1_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))) -> 1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))
   1_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))) -> 1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))
   1_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))) -> 1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))
   1_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))) -> 1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))
   1_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))) -> 1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))
   1_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))) -> 1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))
   1_{3_1}(3_{1_1}(1_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))))) -> 1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{0_1}(x1))))))))))
   1_{3_1}(3_{1_1}(1_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))))) -> 1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(x1))))))))))
   1_{3_1}(3_{1_1}(1_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))))) -> 1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(x1))))))))))
   1_{3_1}(3_{1_1}(1_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))))) -> 1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(x1))))))))))
   1_{3_1}(3_{1_1}(1_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))))) -> 1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(x1))))))))))
   1_{3_1}(3_{1_1}(1_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))))) -> 1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{5_1}(x1))))))))))
   1_{3_1}(3_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(x1)))))) -> 1_{4_1}(4_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))
   1_{3_1}(3_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(x1)))))) -> 1_{4_1}(4_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))
   1_{3_1}(3_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{2_1}(x1)))))) -> 1_{4_1}(4_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))
   1_{3_1}(3_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(x1)))))) -> 1_{4_1}(4_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))
   1_{3_1}(3_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(x1)))))) -> 1_{4_1}(4_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))
   1_{3_1}(3_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(x1)))))) -> 1_{4_1}(4_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))
   2_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))
   2_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))
   2_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))
   2_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))
   2_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))
   2_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))
   4_{1_1}(1_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{0_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))
   4_{1_1}(1_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{1_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))
   4_{1_1}(1_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{2_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))
   4_{1_1}(1_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))
   4_{1_1}(1_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))
   4_{1_1}(1_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))
   4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{0_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(x1))))))))))
   4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{1_1}(x1))))))))))
   4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{2_1}(x1))))))))))
   4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{3_1}(x1))))))))))
   4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(x1))))))))))
   4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{5_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{5_1}(x1))))))))))
   4_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(x1)))))) -> 4_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x1))))))))))
   4_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(x1)))))) -> 4_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x1))))))))))
   4_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(x1)))))) -> 4_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x1))))))))))
   4_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{3_1}(x1)))))) -> 4_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(x1))))))))))
   4_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{4_1}(x1)))))) -> 4_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{4_1}(x1))))))))))
   4_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(x1)))))) -> 4_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(x1))))))))))
   0_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(x1))))))) -> 0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(x1))))))))))
   0_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{1_1}(x1))))))) -> 0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(x1))))))))))
   0_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{2_1}(x1))))))) -> 0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(x1))))))))))
   0_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{3_1}(x1))))))) -> 0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(x1))))))))))
   0_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{4_1}(x1))))))) -> 0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{4_1}(x1))))))))))
   0_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{5_1}(x1))))))) -> 0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(x1))))))))))
   0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))) -> 0_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(x1))))))))))
   0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))) -> 0_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(x1))))))))))
   0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))) -> 0_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(x1))))))))))
   0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))) -> 0_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(x1))))))))))
   0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))) -> 0_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(x1))))))))))
   0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))) -> 0_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(x1))))))))))
   1_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(x1))))))) -> 1_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(x1))))))))))
   1_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{1_1}(x1))))))) -> 1_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(x1))))))))))
   1_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(x1))))))) -> 1_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{2_1}(x1))))))))))
   1_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{3_1}(x1))))))) -> 1_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{3_1}(x1))))))))))
   1_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(x1))))))) -> 1_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{4_1}(x1))))))))))
   1_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{5_1}(x1))))))) -> 1_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(x1))))))))))
   1_{5_1}(5_{2_1}(2_{5_1}(5_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(x1))))))) -> 1_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1))))))))))
   1_{5_1}(5_{2_1}(2_{5_1}(5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(x1))))))) -> 1_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1))))))))))
   1_{5_1}(5_{2_1}(2_{5_1}(5_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(x1))))))) -> 1_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1))))))))))
   1_{5_1}(5_{2_1}(2_{5_1}(5_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(x1))))))) -> 1_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1))))))))))
   1_{5_1}(5_{2_1}(2_{5_1}(5_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(x1))))))) -> 1_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1))))))))))
   1_{5_1}(5_{2_1}(2_{5_1}(5_{1_1}(1_{5_1}(5_{2_1}(2_{5_1}(x1))))))) -> 1_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1))))))))))
   1_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1))))))))))
   1_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1))))))))))
   1_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1))))))))))
   1_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1))))))))))
   1_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1))))))))))
   1_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1))))))))))
   1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1))))))) -> 1_{4_1}(4_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x1))))))))))
   1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1))))))) -> 1_{4_1}(4_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x1))))))))))
   1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1))))))) -> 1_{4_1}(4_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x1))))))))))
   1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1))))))) -> 1_{4_1}(4_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{1_1}(1_{3_1}(x1))))))))))
   1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1))))))) -> 1_{4_1}(4_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(x1))))))))))
   1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1))))))) -> 1_{4_1}(4_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(x1))))))))))
   2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1))))))) -> 2_{1_1}(1_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(x1))))))))))
   2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1))))))) -> 2_{1_1}(1_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(x1))))))))))
   2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1))))))) -> 2_{1_1}(1_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(x1))))))))))
   2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1))))))) -> 2_{1_1}(1_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(x1))))))))))
   2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1))))))) -> 2_{1_1}(1_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(x1))))))))))
   2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1))))))) -> 2_{1_1}(1_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{5_1}(x1))))))))))
   3_{3_1}(3_{3_1}(3_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(x1))))))) -> 3_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1))))))))))
   3_{3_1}(3_{3_1}(3_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(x1))))))) -> 3_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1))))))))))
   3_{3_1}(3_{3_1}(3_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(x1))))))) -> 3_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1))))))))))
   3_{3_1}(3_{3_1}(3_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(x1))))))) -> 3_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1))))))))))
   3_{3_1}(3_{3_1}(3_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(x1))))))) -> 3_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1))))))))))
   3_{3_1}(3_{3_1}(3_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(x1))))))) -> 3_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1))))))))))
   4_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1))))))) -> 4_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(x1))))))))))
   4_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1))))))) -> 4_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(x1))))))))))
   4_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1))))))) -> 4_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(x1))))))))))
   4_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1))))))) -> 4_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{3_1}(x1))))))))))
   4_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1))))))) -> 4_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(x1))))))))))
   4_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1))))))) -> 4_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{0_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{0_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{1_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{3_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{4_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{0_1}(x1))))))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(x1))))))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{2_1}(x1))))))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(x1))))))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{4_1}(x1))))))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(x1))))))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))))))))
   5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 5_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(x1))))))))))
   5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 5_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{1_1}(x1))))))))))
   5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 5_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(x1))))))))))
   5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 5_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(x1))))))))))
   5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 5_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{4_1}(x1))))))))))
   5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 5_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(x1))))))))))
   5_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1))))))) -> 5_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))
   5_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1))))))) -> 5_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))
   5_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1))))))) -> 5_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))
   5_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1))))))) -> 5_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))
   5_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1))))))) -> 5_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))
   5_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1))))))) -> 5_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))
   5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(x1))))))) -> 5_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(x1))))))))))
   5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(x1))))))) -> 5_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(x1))))))))))
   5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(x1))))))) -> 5_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(x1))))))))))
   5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(1_{2_1}(2_{3_1}(x1))))))) -> 5_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(x1))))))))))
   5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(1_{2_1}(2_{4_1}(x1))))))) -> 5_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(x1))))))))))
   5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(1_{2_1}(2_{5_1}(x1))))))) -> 5_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{5_1}(x1))))))))))
   5_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(x1))))))) -> 5_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(x1))))))))))
   5_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{5_1}(5_{1_1}(x1))))))) -> 5_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(x1))))))))))
   5_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{5_1}(5_{2_1}(x1))))))) -> 5_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(x1))))))))))
   5_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{5_1}(5_{3_1}(x1))))))) -> 5_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(x1))))))))))
   5_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{5_1}(5_{4_1}(x1))))))) -> 5_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(x1))))))))))
   5_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{5_1}(5_{5_1}(x1))))))) -> 5_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{5_1}(x1))))))))))
   0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{0_1}(x1)))))) -> 0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(x1)))))) -> 0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{2_1}(x1)))))) -> 0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(x1)))))) -> 0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(x1)))))) -> 0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(x1)))))) -> 0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{0_1}(x1)))))) -> 1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(x1)))))) -> 1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{2_1}(x1)))))) -> 1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(x1)))))) -> 1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(x1)))))) -> 1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(x1)))))) -> 1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   2_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{0_1}(x1)))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   2_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(x1)))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   2_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{2_1}(x1)))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   2_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(x1)))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   2_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(x1)))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   2_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(x1)))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   3_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{0_1}(x1)))))) -> 3_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   3_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(x1)))))) -> 3_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   3_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{2_1}(x1)))))) -> 3_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   3_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(x1)))))) -> 3_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   3_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(x1)))))) -> 3_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   3_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(x1)))))) -> 3_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   4_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{0_1}(x1)))))) -> 4_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   4_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(x1)))))) -> 4_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   4_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{2_1}(x1)))))) -> 4_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   4_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(x1)))))) -> 4_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   4_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(x1)))))) -> 4_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   4_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(x1)))))) -> 4_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{0_1}(x1)))))) -> 5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(x1)))))) -> 5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{2_1}(x1)))))) -> 5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(x1)))))) -> 5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(x1)))))) -> 5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(x1)))))) -> 5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   0_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1))))))) -> 0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   0_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1))))))) -> 0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   0_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1))))))) -> 0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   0_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1))))))) -> 0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   0_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1))))))) -> 0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   0_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1))))))) -> 0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1))))))) -> 1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1))))))) -> 1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1))))))) -> 1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1))))))) -> 1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1))))))) -> 1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1))))))) -> 1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   2_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1))))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   2_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1))))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   2_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1))))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   2_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1))))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   2_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1))))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   2_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1))))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   3_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1))))))) -> 3_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   3_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1))))))) -> 3_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   3_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1))))))) -> 3_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   3_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1))))))) -> 3_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   3_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1))))))) -> 3_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   3_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1))))))) -> 3_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   4_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1))))))) -> 4_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   4_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1))))))) -> 4_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   4_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1))))))) -> 4_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   4_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1))))))) -> 4_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   4_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1))))))) -> 4_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   4_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1))))))) -> 4_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1))))))) -> 5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1))))))) -> 5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1))))))) -> 5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1))))))) -> 5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1))))))) -> 5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1))))))) -> 5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{0_1}(x1))))))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{1_1}(x1))))))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(x1))))))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(x1))))))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{4_1}(x1))))))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(x1))))))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   1_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{0_1}(x1))))))) -> 1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   1_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{1_1}(x1))))))) -> 1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   1_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(x1))))))) -> 1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   1_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(x1))))))) -> 1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   1_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{4_1}(x1))))))) -> 1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   1_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(x1))))))) -> 1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{0_1}(x1))))))) -> 2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{1_1}(x1))))))) -> 2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(x1))))))) -> 2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(x1))))))) -> 2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{4_1}(x1))))))) -> 2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(x1))))))) -> 2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{0_1}(x1))))))) -> 3_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{1_1}(x1))))))) -> 3_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(x1))))))) -> 3_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(x1))))))) -> 3_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{4_1}(x1))))))) -> 3_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(x1))))))) -> 3_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   4_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{0_1}(x1))))))) -> 4_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   4_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{1_1}(x1))))))) -> 4_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   4_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(x1))))))) -> 4_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   4_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(x1))))))) -> 4_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   4_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{4_1}(x1))))))) -> 4_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   4_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(x1))))))) -> 4_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{0_1}(x1))))))) -> 5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{1_1}(x1))))))) -> 5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(x1))))))) -> 5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(x1))))))) -> 5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{4_1}(x1))))))) -> 5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(x1))))))) -> 5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   0_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))))
   0_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))))
   0_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))))
   0_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))))
   0_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))))
   0_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))))
   1_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))))
   1_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))))
   1_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))))
   1_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))))
   1_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))))
   1_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))))
   2_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))))
   2_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))))
   2_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))))
   2_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))))
   2_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))))
   2_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))))
   3_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))))
   3_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))))
   3_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))))
   3_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))))
   3_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))))
   3_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))))
   4_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))))
   4_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))))
   4_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))))
   4_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))))
   4_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))))
   4_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))))
   0_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))))))
   0_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))))))
   0_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))))))
   0_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))))))
   0_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))))))
   0_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))))))
   1_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))))))
   1_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))))))
   1_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))))))
   1_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))))))
   1_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))))))
   1_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))))))
   2_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))))))
   2_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))))))
   2_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))))))
   2_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))))))
   2_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))))))
   2_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))))))
   3_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))))))
   3_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))))))
   3_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))))))
   3_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))))))
   3_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))))))
   3_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))))))
   4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))))))
   4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))))))
   4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))))))
   4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))))))
   4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))))))
   4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))))))
   0_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{0_1}(x1))))))) -> 0_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x1)))))))))))
   0_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{1_1}(x1))))))) -> 0_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x1)))))))))))
   0_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(x1))))))) -> 0_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x1)))))))))))
   0_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(x1))))))) -> 0_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(x1)))))))))))
   0_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(x1))))))) -> 0_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(x1)))))))))))
   0_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(x1))))))) -> 0_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(x1)))))))))))
   1_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{0_1}(x1))))))) -> 1_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x1)))))))))))
   1_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{1_1}(x1))))))) -> 1_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x1)))))))))))
   1_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(x1))))))) -> 1_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x1)))))))))))
   1_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(x1))))))) -> 1_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(x1)))))))))))
   1_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(x1))))))) -> 1_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(x1)))))))))))
   1_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(x1))))))) -> 1_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(x1)))))))))))
   2_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{0_1}(x1))))))) -> 2_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x1)))))))))))
   2_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{1_1}(x1))))))) -> 2_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x1)))))))))))
   2_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(x1))))))) -> 2_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x1)))))))))))
   2_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(x1))))))) -> 2_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(x1)))))))))))
   2_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(x1))))))) -> 2_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(x1)))))))))))
   2_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(x1))))))) -> 2_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(x1)))))))))))
   3_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{0_1}(x1))))))) -> 3_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x1)))))))))))
   3_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{1_1}(x1))))))) -> 3_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x1)))))))))))
   3_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(x1))))))) -> 3_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x1)))))))))))
   3_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(x1))))))) -> 3_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(x1)))))))))))
   3_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(x1))))))) -> 3_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(x1)))))))))))
   3_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(x1))))))) -> 3_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(x1)))))))))))
   4_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{0_1}(x1))))))) -> 4_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x1)))))))))))
   4_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{1_1}(x1))))))) -> 4_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x1)))))))))))
   4_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(x1))))))) -> 4_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x1)))))))))))
   4_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(x1))))))) -> 4_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(x1)))))))))))
   4_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(x1))))))) -> 4_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(x1)))))))))))
   4_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(x1))))))) -> 4_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(x1)))))))))))
   5_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{0_1}(x1))))))) -> 5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x1)))))))))))
   5_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{1_1}(x1))))))) -> 5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x1)))))))))))
   5_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(x1))))))) -> 5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x1)))))))))))
   5_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(x1))))))) -> 5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(x1)))))))))))
   5_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(x1))))))) -> 5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(x1)))))))))))
   5_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(x1))))))) -> 5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{0_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{2_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{3_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 1_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{0_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 1_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 1_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{2_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 1_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{3_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 1_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 1_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 2_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{0_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 2_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 2_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{2_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 2_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{3_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 2_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 2_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 3_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{0_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 3_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 3_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{2_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 3_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{3_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 3_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 3_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 4_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{0_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 4_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 4_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{2_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 4_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{3_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 4_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 4_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 5_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{0_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 5_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 5_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{2_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 5_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{3_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 5_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 5_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(x1)))))))))))
   0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{0_1}(x1))))))) -> 0_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))))))
   0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(x1))))))) -> 0_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))))))
   0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{2_1}(x1))))))) -> 0_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))))))
   0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(x1))))))) -> 0_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))))))
   0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(x1))))))) -> 0_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))))))
   0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(x1))))))) -> 0_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))))))
   1_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{0_1}(x1))))))) -> 1_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))))))
   1_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(x1))))))) -> 1_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))))))
   1_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{2_1}(x1))))))) -> 1_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))))))
   1_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(x1))))))) -> 1_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))))))
   1_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(x1))))))) -> 1_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))))))
   1_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(x1))))))) -> 1_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))))))
   2_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{0_1}(x1))))))) -> 2_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))))))
   2_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(x1))))))) -> 2_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))))))
   2_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{2_1}(x1))))))) -> 2_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))))))
   2_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(x1))))))) -> 2_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))))))
   2_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(x1))))))) -> 2_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))))))
   2_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(x1))))))) -> 2_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))))))
   3_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{0_1}(x1))))))) -> 3_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))))))
   3_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(x1))))))) -> 3_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))))))
   3_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{2_1}(x1))))))) -> 3_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))))))
   3_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(x1))))))) -> 3_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))))))
   3_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(x1))))))) -> 3_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))))))
   3_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(x1))))))) -> 3_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))))))
   4_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{0_1}(x1))))))) -> 4_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))))))
   4_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(x1))))))) -> 4_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))))))
   4_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{2_1}(x1))))))) -> 4_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))))))
   4_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(x1))))))) -> 4_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))))))
   4_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(x1))))))) -> 4_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))))))
   4_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(x1))))))) -> 4_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))))))
   5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{0_1}(x1))))))) -> 5_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))))))
   5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(x1))))))) -> 5_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))))))
   5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{2_1}(x1))))))) -> 5_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))))))
   5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(x1))))))) -> 5_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))))))
   5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(x1))))))) -> 5_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))))))
   5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(x1))))))) -> 5_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 1_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 1_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 1_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 1_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 1_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 1_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 2_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 2_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 2_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 2_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 2_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 2_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 3_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 3_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 3_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 3_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 3_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 3_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 4_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 4_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 4_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 4_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 4_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 4_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 5_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 5_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 5_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 5_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 5_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 5_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))))))
   0_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   0_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   0_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   0_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   0_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   0_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   1_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))))) -> 1_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   1_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))))) -> 1_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   1_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))))) -> 1_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   1_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))))) -> 1_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   1_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))))) -> 1_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   1_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))))) -> 1_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   2_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))))) -> 2_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   2_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))))) -> 2_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   2_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))))) -> 2_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   2_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))))) -> 2_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   2_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))))) -> 2_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   2_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))))) -> 2_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   3_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))))) -> 3_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   3_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))))) -> 3_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   3_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))))) -> 3_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   3_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))))) -> 3_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   3_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))))) -> 3_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   3_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))))) -> 3_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   4_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   4_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   4_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   4_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   4_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   4_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   5_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))))) -> 5_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   5_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))))) -> 5_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   5_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))))) -> 5_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   5_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))))) -> 5_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   5_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))))) -> 5_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   5_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))))) -> 5_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 0_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))
   0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 0_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))
   0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 0_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))
   0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 0_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))))))
   0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 0_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))))))
   0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 0_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))))))
   1_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 1_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))
   1_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 1_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))
   1_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 1_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))
   1_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 1_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))))))
   1_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 1_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))))))
   1_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 1_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))))))
   2_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 2_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))
   2_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 2_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))
   2_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 2_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))
   2_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 2_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))))))
   2_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 2_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))))))
   2_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 2_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))))))
   3_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))
   3_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))
   3_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))
   3_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))))))
   3_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))))))
   3_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))))))
   4_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 4_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))
   4_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 4_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))
   4_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 4_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))
   4_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 4_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))))))
   4_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 4_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))))))
   4_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 4_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))))))
   5_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 5_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))
   5_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 5_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))
   5_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 5_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))
   5_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 5_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))))))
   5_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 5_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))))))
   5_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 5_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))))))))
   0_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{0_1}(x1)))))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   0_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(x1)))))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   0_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(x1)))))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   0_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{3_1}(x1)))))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   0_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{4_1}(x1)))))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   0_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(x1)))))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   1_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{0_1}(x1)))))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   1_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(x1)))))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   1_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(x1)))))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   1_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{3_1}(x1)))))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   1_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{4_1}(x1)))))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   1_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(x1)))))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   2_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{0_1}(x1)))))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   2_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(x1)))))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   2_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(x1)))))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   2_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{3_1}(x1)))))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   2_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{4_1}(x1)))))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   2_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(x1)))))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{0_1}(x1)))))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(x1)))))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(x1)))))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{3_1}(x1)))))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{4_1}(x1)))))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(x1)))))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   4_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{0_1}(x1)))))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   4_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(x1)))))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   4_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(x1)))))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   4_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{3_1}(x1)))))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   4_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{4_1}(x1)))))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   4_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(x1)))))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   5_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{0_1}(x1)))))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   5_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(x1)))))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   5_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(x1)))))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   5_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{3_1}(x1)))))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   5_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{4_1}(x1)))))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   5_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(x1)))))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   0_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   0_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   0_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   0_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{3_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   0_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{4_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   0_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   1_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(x1)))))))) -> 1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   1_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(x1)))))))) -> 1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   1_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(x1)))))))) -> 1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   1_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{3_1}(x1)))))))) -> 1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   1_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{4_1}(x1)))))))) -> 1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   1_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(x1)))))))) -> 1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   2_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   2_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   2_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   2_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{3_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   2_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{4_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   2_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   3_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(x1)))))))) -> 3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   3_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(x1)))))))) -> 3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   3_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(x1)))))))) -> 3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   3_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{3_1}(x1)))))))) -> 3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   3_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{4_1}(x1)))))))) -> 3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   3_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(x1)))))))) -> 3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   4_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(x1)))))))) -> 4_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   4_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(x1)))))))) -> 4_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   4_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(x1)))))))) -> 4_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   4_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{3_1}(x1)))))))) -> 4_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   4_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{4_1}(x1)))))))) -> 4_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   4_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(x1)))))))) -> 4_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(x1)))))))) -> 5_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(x1)))))))) -> 5_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(x1)))))))) -> 5_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{3_1}(x1)))))))) -> 5_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{4_1}(x1)))))))) -> 5_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(x1)))))))) -> 5_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))))
   0_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(x1)))))))) -> 0_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(x1)))))))))))
   0_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{1_1}(x1)))))))) -> 0_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(x1)))))))))))
   0_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(x1)))))))) -> 0_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(x1)))))))))))
   0_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{3_1}(x1)))))))) -> 0_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{3_1}(x1)))))))))))
   0_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(x1)))))))) -> 0_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(x1)))))))))))
   0_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{5_1}(x1)))))))) -> 0_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{5_1}(x1)))))))))))
   1_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(x1)))))))) -> 1_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(x1)))))))))))
   1_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{1_1}(x1)))))))) -> 1_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(x1)))))))))))
   1_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(x1)))))))) -> 1_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(x1)))))))))))
   1_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{3_1}(x1)))))))) -> 1_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{3_1}(x1)))))))))))
   1_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(x1)))))))) -> 1_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(x1)))))))))))
   1_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{5_1}(x1)))))))) -> 1_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{5_1}(x1)))))))))))
   2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(x1)))))))) -> 2_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(x1)))))))))))
   2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{1_1}(x1)))))))) -> 2_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(x1)))))))))))
   2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(x1)))))))) -> 2_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(x1)))))))))))
   2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{3_1}(x1)))))))) -> 2_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{3_1}(x1)))))))))))
   2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(x1)))))))) -> 2_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(x1)))))))))))
   2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{5_1}(x1)))))))) -> 2_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{5_1}(x1)))))))))))
   3_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(x1)))))))) -> 3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(x1)))))))))))
   3_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{1_1}(x1)))))))) -> 3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(x1)))))))))))
   3_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(x1)))))))) -> 3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(x1)))))))))))
   3_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{3_1}(x1)))))))) -> 3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{3_1}(x1)))))))))))
   3_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(x1)))))))) -> 3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(x1)))))))))))
   3_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{5_1}(x1)))))))) -> 3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{5_1}(x1)))))))))))
   4_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(x1)))))))) -> 4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(x1)))))))))))
   4_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{1_1}(x1)))))))) -> 4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(x1)))))))))))
   4_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(x1)))))))) -> 4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(x1)))))))))))
   4_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{3_1}(x1)))))))) -> 4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{3_1}(x1)))))))))))
   4_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(x1)))))))) -> 4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(x1)))))))))))
   4_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{5_1}(x1)))))))) -> 4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{5_1}(x1)))))))))))
   5_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(x1)))))))) -> 5_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(x1)))))))))))
   5_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{1_1}(x1)))))))) -> 5_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(x1)))))))))))
   5_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(x1)))))))) -> 5_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(x1)))))))))))
   5_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{3_1}(x1)))))))) -> 5_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{3_1}(x1)))))))))))
   5_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(x1)))))))) -> 5_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(x1)))))))))))
   5_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{5_1}(x1)))))))) -> 5_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{5_1}(x1)))))))))))
   0_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(x1)))))))) -> 0_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   0_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{1_1}(x1)))))))) -> 0_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   0_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(x1)))))))) -> 0_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   0_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(x1)))))))) -> 0_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   0_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{4_1}(x1)))))))) -> 0_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   0_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{5_1}(x1)))))))) -> 0_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   1_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(x1)))))))) -> 1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   1_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{1_1}(x1)))))))) -> 1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   1_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(x1)))))))) -> 1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   1_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(x1)))))))) -> 1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   1_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{4_1}(x1)))))))) -> 1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   1_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{5_1}(x1)))))))) -> 1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(x1)))))))) -> 2_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{1_1}(x1)))))))) -> 2_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(x1)))))))) -> 2_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(x1)))))))) -> 2_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{4_1}(x1)))))))) -> 2_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{5_1}(x1)))))))) -> 2_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   3_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(x1)))))))) -> 3_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   3_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{1_1}(x1)))))))) -> 3_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   3_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(x1)))))))) -> 3_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   3_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(x1)))))))) -> 3_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   3_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{4_1}(x1)))))))) -> 3_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   3_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{5_1}(x1)))))))) -> 3_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(x1)))))))) -> 4_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{1_1}(x1)))))))) -> 4_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(x1)))))))) -> 4_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(x1)))))))) -> 4_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{4_1}(x1)))))))) -> 4_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{5_1}(x1)))))))) -> 4_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   5_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(x1)))))))) -> 5_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   5_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{1_1}(x1)))))))) -> 5_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   5_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(x1)))))))) -> 5_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   5_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(x1)))))))) -> 5_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   5_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{4_1}(x1)))))))) -> 5_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   5_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{5_1}(x1)))))))) -> 5_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{0_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{1_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{4_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{0_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{1_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{4_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{0_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{1_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{4_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{0_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{1_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{4_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{0_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{1_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{4_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{0_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{1_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{4_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1)))))))) -> 0_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1)))))))) -> 0_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1)))))))) -> 0_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1)))))))) -> 0_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1)))))))) -> 0_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1)))))))) -> 0_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1)))))))) -> 1_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1)))))))) -> 1_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1)))))))) -> 1_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1)))))))) -> 1_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1)))))))) -> 1_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1)))))))) -> 1_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1)))))))) -> 2_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1)))))))) -> 2_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1)))))))) -> 2_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1)))))))) -> 2_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1)))))))) -> 2_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1)))))))) -> 2_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1)))))))) -> 3_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1)))))))) -> 3_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1)))))))) -> 3_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1)))))))) -> 3_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1)))))))) -> 3_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1)))))))) -> 3_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1)))))))) -> 4_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1)))))))) -> 4_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1)))))))) -> 4_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1)))))))) -> 4_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1)))))))) -> 4_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1)))))))) -> 4_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1)))))))) -> 5_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1)))))))) -> 5_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1)))))))) -> 5_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1)))))))) -> 5_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1)))))))) -> 5_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1)))))))) -> 5_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   0_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(x1)))))))) -> 0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))
   0_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(x1)))))))) -> 0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))
   0_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(x1)))))))) -> 0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))
   0_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(x1)))))))) -> 0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))
   0_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{4_1}(x1)))))))) -> 0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))
   0_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(x1)))))))) -> 0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))
   1_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(x1)))))))) -> 1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))
   1_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(x1)))))))) -> 1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))
   1_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(x1)))))))) -> 1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))
   1_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(x1)))))))) -> 1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))
   1_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{4_1}(x1)))))))) -> 1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))
   1_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(x1)))))))) -> 1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))
   2_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(x1)))))))) -> 2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))
   2_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(x1)))))))) -> 2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))
   2_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(x1)))))))) -> 2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))
   2_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(x1)))))))) -> 2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))
   2_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{4_1}(x1)))))))) -> 2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))
   2_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(x1)))))))) -> 2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))
   3_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(x1)))))))) -> 3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))
   3_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(x1)))))))) -> 3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))
   3_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(x1)))))))) -> 3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))
   3_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(x1)))))))) -> 3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))
   3_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{4_1}(x1)))))))) -> 3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))
   3_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(x1)))))))) -> 3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))
   4_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(x1)))))))) -> 4_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))
   4_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(x1)))))))) -> 4_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))
   4_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(x1)))))))) -> 4_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))
   4_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(x1)))))))) -> 4_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))
   4_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{4_1}(x1)))))))) -> 4_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))
   4_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(x1)))))))) -> 4_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))
   5_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(x1)))))))) -> 5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))
   5_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(x1)))))))) -> 5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))
   5_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(x1)))))))) -> 5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))
   5_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(x1)))))))) -> 5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))
   5_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{4_1}(x1)))))))) -> 5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))
   5_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(x1)))))))) -> 5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))
   0_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))
   0_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))
   0_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))
   0_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))
   0_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))
   0_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))
   1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))
   1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))
   1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))
   1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))
   1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))
   1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))
   2_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))
   2_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))
   2_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))
   2_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))
   2_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))
   2_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))
   3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 3_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))
   3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 3_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))
   3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 3_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))
   3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 3_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))
   3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 3_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))
   3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 3_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))
   4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 4_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))
   4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 4_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))
   4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 4_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))
   4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 4_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))
   4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 4_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))
   4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 4_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))
   5_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 5_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))
   5_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 5_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))
   5_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 5_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))
   5_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 5_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))
   5_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 5_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))
   5_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 5_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))
   0_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{0_1}(x1)))))))) -> 0_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   0_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(x1)))))))) -> 0_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   0_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(x1)))))))) -> 0_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   0_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(x1)))))))) -> 0_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   0_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{4_1}(x1)))))))) -> 0_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   0_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{5_1}(x1)))))))) -> 0_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   1_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{0_1}(x1)))))))) -> 1_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   1_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(x1)))))))) -> 1_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   1_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(x1)))))))) -> 1_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   1_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(x1)))))))) -> 1_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   1_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{4_1}(x1)))))))) -> 1_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   1_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{5_1}(x1)))))))) -> 1_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{0_1}(x1)))))))) -> 2_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(x1)))))))) -> 2_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(x1)))))))) -> 2_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(x1)))))))) -> 2_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{4_1}(x1)))))))) -> 2_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{5_1}(x1)))))))) -> 2_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   3_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{0_1}(x1)))))))) -> 3_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   3_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(x1)))))))) -> 3_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   3_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(x1)))))))) -> 3_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   3_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(x1)))))))) -> 3_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   3_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{4_1}(x1)))))))) -> 3_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   3_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{5_1}(x1)))))))) -> 3_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   4_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{0_1}(x1)))))))) -> 4_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   4_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(x1)))))))) -> 4_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   4_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(x1)))))))) -> 4_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   4_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(x1)))))))) -> 4_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   4_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{4_1}(x1)))))))) -> 4_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   4_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{5_1}(x1)))))))) -> 4_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{0_1}(x1)))))))) -> 5_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(x1)))))))) -> 5_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(x1)))))))) -> 5_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(x1)))))))) -> 5_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{4_1}(x1)))))))) -> 5_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{5_1}(x1)))))))) -> 5_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))

The relative TRS consists of the following S rules:

   5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(x1)))))) -> 5_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1))))))))))
   5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{1_1}(x1)))))) -> 5_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x1))))))))))
   5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{2_1}(x1)))))) -> 5_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1))))))))))
   5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(x1)))))) -> 5_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(x1))))))))))
   5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{4_1}(x1)))))) -> 5_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(x1))))))))))
   5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{5_1}(x1)))))) -> 5_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(x1))))))))))
   1_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{0_1}(x1))))))) -> 1_{0_1}(0_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))
   1_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(x1))))))) -> 1_{0_1}(0_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))
   1_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(x1))))))) -> 1_{0_1}(0_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))
   1_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{3_1}(x1))))))) -> 1_{0_1}(0_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))
   1_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{4_1}(x1))))))) -> 1_{0_1}(0_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))
   1_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(x1))))))) -> 1_{0_1}(0_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))
   4_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1))))))) -> 4_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(x1))))))))))
   4_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1))))))) -> 4_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(x1))))))))))
   4_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1))))))) -> 4_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(x1))))))))))
   4_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(x1))))))) -> 4_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(x1))))))))))
   4_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(x1))))))) -> 4_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(x1))))))))))
   4_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(x1))))))) -> 4_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{5_1}(x1))))))))))
   0_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{0_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))
   0_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{1_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))
   0_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{2_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))
   0_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1)))))))))))
   0_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1)))))))))))
   0_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1)))))))))))
   1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{0_1}(x1))))))) -> 1_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))
   1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{1_1}(x1))))))) -> 1_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))
   1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{2_1}(x1))))))) -> 1_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))
   1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(x1))))))) -> 1_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1)))))))))))
   1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(x1))))))) -> 1_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1)))))))))))
   1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(x1))))))) -> 1_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1)))))))))))
   2_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{0_1}(x1))))))) -> 2_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))
   2_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{1_1}(x1))))))) -> 2_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))
   2_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{2_1}(x1))))))) -> 2_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))
   2_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(x1))))))) -> 2_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1)))))))))))
   2_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(x1))))))) -> 2_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1)))))))))))
   2_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(x1))))))) -> 2_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1)))))))))))
   3_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{0_1}(x1))))))) -> 3_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))
   3_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{1_1}(x1))))))) -> 3_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))
   3_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{2_1}(x1))))))) -> 3_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))
   3_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(x1))))))) -> 3_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1)))))))))))
   3_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(x1))))))) -> 3_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1)))))))))))
   3_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(x1))))))) -> 3_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1)))))))))))
   4_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{0_1}(x1))))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))
   4_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{1_1}(x1))))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))
   4_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{2_1}(x1))))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))
   4_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(x1))))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1)))))))))))
   4_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(x1))))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1)))))))))))
   4_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(x1))))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1)))))))))))
   5_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{0_1}(x1))))))) -> 5_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))
   5_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{1_1}(x1))))))) -> 5_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))
   5_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{2_1}(x1))))))) -> 5_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))
   5_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(x1))))))) -> 5_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1)))))))))))
   5_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(x1))))))) -> 5_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1)))))))))))
   5_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(x1))))))) -> 5_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1)))))))))))
   0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(x1)))))))))))
   0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(x1)))))))))))
   0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(x1)))))))))))
   0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(x1)))))))))))
   0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(x1)))))))))))
   0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{5_1}(x1)))))))))))
   1_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(x1)))))))))))
   1_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(x1)))))))))))
   1_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(x1)))))))))))
   1_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(x1)))))))))))
   1_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(x1)))))))))))
   1_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{5_1}(x1)))))))))))
   2_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(x1)))))))))))
   2_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(x1)))))))))))
   2_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(x1)))))))))))
   2_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(x1)))))))))))
   2_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(x1)))))))))))
   2_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{5_1}(x1)))))))))))
   3_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(x1)))))))))))
   3_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(x1)))))))))))
   3_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(x1)))))))))))
   3_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(x1)))))))))))
   3_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(x1)))))))))))
   3_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{5_1}(x1)))))))))))
   4_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(x1)))))))))))
   4_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(x1)))))))))))
   4_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(x1)))))))))))
   4_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(x1)))))))))))
   4_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(x1)))))))))))
   4_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{5_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{5_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(x1)))))))) -> 0_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(x1)))))))) -> 0_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(x1)))))))) -> 0_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{3_1}(x1)))))))) -> 0_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(x1)))))))) -> 0_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(x1)))))))) -> 0_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(x1)))))))) -> 1_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(x1)))))))) -> 1_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(x1)))))))) -> 1_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{3_1}(x1)))))))) -> 1_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(x1)))))))) -> 1_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(x1)))))))) -> 1_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(x1)))))))) -> 2_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(x1)))))))) -> 2_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(x1)))))))) -> 2_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{3_1}(x1)))))))) -> 2_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(x1)))))))) -> 2_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(x1)))))))) -> 2_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(x1)))))))) -> 3_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(x1)))))))) -> 3_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(x1)))))))) -> 3_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{3_1}(x1)))))))) -> 3_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(x1)))))))) -> 3_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(x1)))))))) -> 3_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(x1)))))))) -> 4_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(x1)))))))) -> 4_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(x1)))))))) -> 4_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{3_1}(x1)))))))) -> 4_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(x1)))))))) -> 4_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(x1)))))))) -> 4_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(x1)))))))) -> 5_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(x1)))))))) -> 5_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(x1)))))))) -> 5_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{3_1}(x1)))))))) -> 5_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(x1)))))))) -> 5_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(x1)))))))) -> 5_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))


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(5) RelTRSRRRProof (EQUIVALENT)
We used the following monotonic ordering for rule removal:
Polynomial interpretation [POLO]:

   POL(0_{0_1}(x_1)) = x_1
   POL(0_{1_1}(x_1)) = x_1
   POL(0_{2_1}(x_1)) = x_1
   POL(0_{3_1}(x_1)) = x_1
   POL(0_{4_1}(x_1)) = x_1
   POL(0_{5_1}(x_1)) = x_1
   POL(1_{0_1}(x_1)) = 1 + x_1
   POL(1_{1_1}(x_1)) = x_1
   POL(1_{2_1}(x_1)) = x_1
   POL(1_{3_1}(x_1)) = 1 + x_1
   POL(1_{4_1}(x_1)) = x_1
   POL(1_{5_1}(x_1)) = 1 + x_1
   POL(2_{0_1}(x_1)) = x_1
   POL(2_{1_1}(x_1)) = x_1
   POL(2_{2_1}(x_1)) = x_1
   POL(2_{3_1}(x_1)) = x_1
   POL(2_{4_1}(x_1)) = x_1
   POL(2_{5_1}(x_1)) = x_1
   POL(3_{0_1}(x_1)) = x_1
   POL(3_{1_1}(x_1)) = 1 + x_1
   POL(3_{2_1}(x_1)) = 1 + x_1
   POL(3_{3_1}(x_1)) = 1 + x_1
   POL(3_{4_1}(x_1)) = 1 + x_1
   POL(3_{5_1}(x_1)) = x_1
   POL(4_{0_1}(x_1)) = x_1
   POL(4_{1_1}(x_1)) = x_1
   POL(4_{2_1}(x_1)) = x_1
   POL(4_{3_1}(x_1)) = x_1
   POL(4_{4_1}(x_1)) = x_1
   POL(4_{5_1}(x_1)) = x_1
   POL(5_{0_1}(x_1)) = 1 + x_1
   POL(5_{1_1}(x_1)) = x_1
   POL(5_{2_1}(x_1)) = x_1
   POL(5_{3_1}(x_1)) = 1 + x_1
   POL(5_{4_1}(x_1)) = x_1
   POL(5_{5_1}(x_1)) = 1 + x_1
With this ordering the following rules can be removed [MATRO] because they are oriented strictly:
Rules from R:

   0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))))))
   0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{3_1}(x1))))))))))
   0_{1_1}(1_{0_1}(0_{1_1}(1_{5_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(x1))))))))))
   1_{5_1}(5_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(x1))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(x1))))))))))
   1_{5_1}(5_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(x1))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(x1))))))))))
   1_{5_1}(5_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(x1))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(x1))))))))))
   1_{5_1}(5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(x1))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(x1))))))))))
   1_{5_1}(5_{1_1}(1_{5_1}(5_{4_1}(4_{4_1}(x1))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(x1))))))))))
   1_{5_1}(5_{1_1}(1_{5_1}(5_{4_1}(4_{5_1}(x1))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{5_1}(x1))))))))))
   3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(x1))))) -> 3_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(x1))))))))))
   3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{1_1}(x1))))) -> 3_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(x1))))))))))
   3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(x1))))) -> 3_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(x1))))))))))
   3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(x1))))) -> 3_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(x1))))))))))
   3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(x1))))) -> 3_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(x1))))))))))
   3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(x1))))) -> 3_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(x1))))))))))
   5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1))))))))))
   5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1))))))))))
   5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1))))))))))
   5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(x1))))) -> 5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{3_1}(x1))))))))))
   5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(x1))))) -> 5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{4_1}(x1))))))))))
   5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{5_1}(x1))))) -> 5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(x1))))))))))
   1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{0_1}(x1))))))))))
   1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(x1))))))))))
   1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{2_1}(x1))))))))))
   1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{3_1}(x1))))))))))
   1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(x1))))))))))
   1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{5_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(x1))))))))))
   1_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))) -> 1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))
   1_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))) -> 1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))
   1_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))) -> 1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))
   1_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))) -> 1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))
   1_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))) -> 1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))
   1_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))) -> 1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))
   1_{3_1}(3_{1_1}(1_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))))) -> 1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{0_1}(x1))))))))))
   1_{3_1}(3_{1_1}(1_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))))) -> 1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(x1))))))))))
   1_{3_1}(3_{1_1}(1_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))))) -> 1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(x1))))))))))
   1_{3_1}(3_{1_1}(1_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))))) -> 1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(x1))))))))))
   1_{3_1}(3_{1_1}(1_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))))) -> 1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(x1))))))))))
   1_{3_1}(3_{1_1}(1_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))))) -> 1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{5_1}(x1))))))))))
   1_{3_1}(3_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(x1)))))) -> 1_{4_1}(4_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))
   1_{3_1}(3_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(x1)))))) -> 1_{4_1}(4_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))
   1_{3_1}(3_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{2_1}(x1)))))) -> 1_{4_1}(4_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))
   1_{3_1}(3_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(x1)))))) -> 1_{4_1}(4_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))
   1_{3_1}(3_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(x1)))))) -> 1_{4_1}(4_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))
   1_{3_1}(3_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(x1)))))) -> 1_{4_1}(4_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))
   2_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))
   2_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))
   2_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))
   2_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))
   2_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))
   2_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))
   4_{1_1}(1_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{0_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))
   4_{1_1}(1_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{1_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))
   4_{1_1}(1_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{2_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))
   4_{1_1}(1_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))
   4_{1_1}(1_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))
   4_{1_1}(1_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))
   4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{0_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(x1))))))))))
   4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{1_1}(x1))))))))))
   4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{2_1}(x1))))))))))
   4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{3_1}(x1))))))))))
   4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(x1))))))))))
   4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{5_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{5_1}(x1))))))))))
   4_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(x1)))))) -> 4_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x1))))))))))
   4_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{3_1}(x1)))))) -> 4_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(x1))))))))))
   4_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(x1)))))) -> 4_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(x1))))))))))
   0_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(x1))))))) -> 0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(x1))))))))))
   0_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{1_1}(x1))))))) -> 0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(x1))))))))))
   0_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{2_1}(x1))))))) -> 0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(x1))))))))))
   0_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{3_1}(x1))))))) -> 0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(x1))))))))))
   0_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{4_1}(x1))))))) -> 0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{4_1}(x1))))))))))
   0_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{5_1}(x1))))))) -> 0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(x1))))))))))
   0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))) -> 0_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(x1))))))))))
   0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))) -> 0_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(x1))))))))))
   0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))) -> 0_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(x1))))))))))
   0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))) -> 0_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(x1))))))))))
   1_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(x1))))))) -> 1_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(x1))))))))))
   1_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{1_1}(x1))))))) -> 1_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(x1))))))))))
   1_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(x1))))))) -> 1_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{2_1}(x1))))))))))
   1_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{3_1}(x1))))))) -> 1_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{3_1}(x1))))))))))
   1_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(x1))))))) -> 1_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{4_1}(x1))))))))))
   1_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{5_1}(x1))))))) -> 1_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(x1))))))))))
   1_{5_1}(5_{2_1}(2_{5_1}(5_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(x1))))))) -> 1_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1))))))))))
   1_{5_1}(5_{2_1}(2_{5_1}(5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(x1))))))) -> 1_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1))))))))))
   1_{5_1}(5_{2_1}(2_{5_1}(5_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(x1))))))) -> 1_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1))))))))))
   1_{5_1}(5_{2_1}(2_{5_1}(5_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(x1))))))) -> 1_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1))))))))))
   1_{5_1}(5_{2_1}(2_{5_1}(5_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(x1))))))) -> 1_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1))))))))))
   1_{5_1}(5_{2_1}(2_{5_1}(5_{1_1}(1_{5_1}(5_{2_1}(2_{5_1}(x1))))))) -> 1_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1))))))))))
   1_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1))))))))))
   1_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1))))))))))
   1_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1))))))))))
   1_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1))))))))))
   1_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1))))))))))
   1_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1))))))))))
   1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1))))))) -> 1_{4_1}(4_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x1))))))))))
   1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1))))))) -> 1_{4_1}(4_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x1))))))))))
   1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1))))))) -> 1_{4_1}(4_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x1))))))))))
   1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1))))))) -> 1_{4_1}(4_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{1_1}(1_{3_1}(x1))))))))))
   1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1))))))) -> 1_{4_1}(4_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(x1))))))))))
   1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1))))))) -> 1_{4_1}(4_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(x1))))))))))
   2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1))))))) -> 2_{1_1}(1_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(x1))))))))))
   2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1))))))) -> 2_{1_1}(1_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(x1))))))))))
   2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1))))))) -> 2_{1_1}(1_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(x1))))))))))
   2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1))))))) -> 2_{1_1}(1_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(x1))))))))))
   2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1))))))) -> 2_{1_1}(1_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(x1))))))))))
   2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1))))))) -> 2_{1_1}(1_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{5_1}(x1))))))))))
   4_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1))))))) -> 4_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(x1))))))))))
   4_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1))))))) -> 4_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(x1))))))))))
   4_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1))))))) -> 4_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(x1))))))))))
   4_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1))))))) -> 4_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{3_1}(x1))))))))))
   4_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1))))))) -> 4_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(x1))))))))))
   4_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1))))))) -> 4_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{0_1}(x1))))))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(x1))))))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{2_1}(x1))))))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(x1))))))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{4_1}(x1))))))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(x1))))))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))))))))
   5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 5_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(x1))))))))))
   5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 5_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{1_1}(x1))))))))))
   5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 5_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(x1))))))))))
   5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 5_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(x1))))))))))
   5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 5_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{4_1}(x1))))))))))
   5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 5_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(x1))))))))))
   5_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1))))))) -> 5_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))
   5_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1))))))) -> 5_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))
   5_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1))))))) -> 5_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))
   5_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1))))))) -> 5_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))
   5_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1))))))) -> 5_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))
   5_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1))))))) -> 5_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))
   5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(x1))))))) -> 5_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(x1))))))))))
   5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(x1))))))) -> 5_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(x1))))))))))
   5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(1_{2_1}(2_{4_1}(x1))))))) -> 5_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(x1))))))))))
   5_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(x1))))))) -> 5_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(x1))))))))))
   5_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{5_1}(5_{1_1}(x1))))))) -> 5_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(x1))))))))))
   5_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{5_1}(5_{2_1}(x1))))))) -> 5_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(x1))))))))))
   5_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{5_1}(5_{3_1}(x1))))))) -> 5_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(x1))))))))))
   5_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{5_1}(5_{4_1}(x1))))))) -> 5_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(x1))))))))))
   5_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{5_1}(5_{5_1}(x1))))))) -> 5_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{5_1}(x1))))))))))
   0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{0_1}(x1)))))) -> 0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(x1)))))) -> 0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{2_1}(x1)))))) -> 0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(x1)))))) -> 0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(x1)))))) -> 0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(x1)))))) -> 0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{0_1}(x1)))))) -> 1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(x1)))))) -> 1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{2_1}(x1)))))) -> 1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(x1)))))) -> 1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(x1)))))) -> 1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(x1)))))) -> 1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   2_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{0_1}(x1)))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   2_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(x1)))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   2_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{2_1}(x1)))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   2_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(x1)))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   2_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(x1)))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   2_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(x1)))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   3_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{0_1}(x1)))))) -> 3_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   3_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(x1)))))) -> 3_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   3_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{2_1}(x1)))))) -> 3_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   3_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(x1)))))) -> 3_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   3_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(x1)))))) -> 3_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   3_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(x1)))))) -> 3_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   4_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{0_1}(x1)))))) -> 4_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   4_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(x1)))))) -> 4_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   4_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{2_1}(x1)))))) -> 4_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   4_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(x1)))))) -> 4_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   4_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(x1)))))) -> 4_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   4_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(x1)))))) -> 4_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{0_1}(x1)))))) -> 5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(x1)))))) -> 5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{2_1}(x1)))))) -> 5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(x1)))))) -> 5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(x1)))))) -> 5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(x1)))))) -> 5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   0_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1))))))) -> 0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   0_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1))))))) -> 0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   0_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1))))))) -> 0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   0_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1))))))) -> 0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   0_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1))))))) -> 0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   0_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1))))))) -> 0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1))))))) -> 1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1))))))) -> 1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1))))))) -> 1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1))))))) -> 1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1))))))) -> 1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1))))))) -> 1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   2_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1))))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   2_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1))))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   2_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1))))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   2_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1))))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   2_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1))))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   2_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1))))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   3_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1))))))) -> 3_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   3_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1))))))) -> 3_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   3_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1))))))) -> 3_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   3_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1))))))) -> 3_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   3_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1))))))) -> 3_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   3_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1))))))) -> 3_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   4_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1))))))) -> 4_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   4_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1))))))) -> 4_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   4_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1))))))) -> 4_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   4_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1))))))) -> 4_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   4_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1))))))) -> 4_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   4_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1))))))) -> 4_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1))))))) -> 5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1))))))) -> 5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1))))))) -> 5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1))))))) -> 5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1))))))) -> 5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1))))))) -> 5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{0_1}(x1))))))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{1_1}(x1))))))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(x1))))))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(x1))))))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{4_1}(x1))))))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(x1))))))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   1_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{0_1}(x1))))))) -> 1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   1_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{1_1}(x1))))))) -> 1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   1_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(x1))))))) -> 1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   1_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(x1))))))) -> 1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   1_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{4_1}(x1))))))) -> 1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   1_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(x1))))))) -> 1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{0_1}(x1))))))) -> 2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{1_1}(x1))))))) -> 2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(x1))))))) -> 2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(x1))))))) -> 2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{4_1}(x1))))))) -> 2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(x1))))))) -> 2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{0_1}(x1))))))) -> 3_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{1_1}(x1))))))) -> 3_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(x1))))))) -> 3_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(x1))))))) -> 3_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{4_1}(x1))))))) -> 3_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(x1))))))) -> 3_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   4_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{0_1}(x1))))))) -> 4_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   4_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{1_1}(x1))))))) -> 4_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   4_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(x1))))))) -> 4_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   4_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(x1))))))) -> 4_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   4_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{4_1}(x1))))))) -> 4_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   4_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(x1))))))) -> 4_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{0_1}(x1))))))) -> 5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{1_1}(x1))))))) -> 5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(x1))))))) -> 5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(x1))))))) -> 5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{4_1}(x1))))))) -> 5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(x1))))))) -> 5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   0_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))))
   0_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))))
   0_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))))
   0_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))))
   0_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))))
   0_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))))
   1_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))))
   1_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))))
   1_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))))
   1_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))))
   1_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))))
   1_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))))
   2_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))))
   2_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))))
   2_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))))
   2_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))))
   2_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))))
   2_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))))
   3_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))))
   3_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))))
   3_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))))
   3_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))))
   3_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))))
   3_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))))
   4_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))))
   4_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))))
   4_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))))
   4_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))))
   4_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))))
   4_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))))
   0_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))))))
   0_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))))))
   0_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))))))
   0_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))))))
   0_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))))))
   0_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))))))
   1_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))))))
   1_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))))))
   1_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))))))
   2_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))))))
   2_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))))))
   2_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))))))
   2_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))))))
   2_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))))))
   2_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))))))
   3_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))))))
   3_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))))))
   3_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))))))
   3_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))))))
   3_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))))))
   3_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))))))
   4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))))))
   4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))))))
   4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))))))
   4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))))))
   4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))))))
   4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))))))
   0_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{0_1}(x1))))))) -> 0_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x1)))))))))))
   0_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{1_1}(x1))))))) -> 0_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x1)))))))))))
   0_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(x1))))))) -> 0_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x1)))))))))))
   0_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(x1))))))) -> 0_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(x1)))))))))))
   0_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(x1))))))) -> 0_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(x1)))))))))))
   0_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(x1))))))) -> 0_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(x1)))))))))))
   1_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{0_1}(x1))))))) -> 1_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x1)))))))))))
   1_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{1_1}(x1))))))) -> 1_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x1)))))))))))
   1_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(x1))))))) -> 1_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x1)))))))))))
   1_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(x1))))))) -> 1_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(x1)))))))))))
   1_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(x1))))))) -> 1_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(x1)))))))))))
   1_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(x1))))))) -> 1_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(x1)))))))))))
   2_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{0_1}(x1))))))) -> 2_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x1)))))))))))
   2_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{1_1}(x1))))))) -> 2_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x1)))))))))))
   2_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(x1))))))) -> 2_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x1)))))))))))
   2_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(x1))))))) -> 2_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(x1)))))))))))
   2_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(x1))))))) -> 2_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(x1)))))))))))
   2_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(x1))))))) -> 2_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(x1)))))))))))
   3_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{0_1}(x1))))))) -> 3_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x1)))))))))))
   3_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{1_1}(x1))))))) -> 3_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x1)))))))))))
   3_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(x1))))))) -> 3_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x1)))))))))))
   3_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(x1))))))) -> 3_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(x1)))))))))))
   3_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(x1))))))) -> 3_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(x1)))))))))))
   3_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(x1))))))) -> 3_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(x1)))))))))))
   4_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{0_1}(x1))))))) -> 4_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x1)))))))))))
   4_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{1_1}(x1))))))) -> 4_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x1)))))))))))
   4_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(x1))))))) -> 4_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x1)))))))))))
   4_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(x1))))))) -> 4_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(x1)))))))))))
   4_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(x1))))))) -> 4_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(x1)))))))))))
   4_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(x1))))))) -> 4_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(x1)))))))))))
   5_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{0_1}(x1))))))) -> 5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x1)))))))))))
   5_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{1_1}(x1))))))) -> 5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x1)))))))))))
   5_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(x1))))))) -> 5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x1)))))))))))
   5_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(x1))))))) -> 5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(x1)))))))))))
   5_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(x1))))))) -> 5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(x1)))))))))))
   5_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(x1))))))) -> 5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{0_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{2_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{3_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 1_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{0_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 1_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 1_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{2_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 1_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{3_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 1_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 1_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 2_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{0_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 2_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 2_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{2_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 2_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{3_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 2_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 2_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 3_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{0_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 3_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 3_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{2_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 3_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{3_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 3_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 3_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 4_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{0_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 4_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 4_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{2_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 4_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{3_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 4_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 4_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 5_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{0_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 5_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 5_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{2_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 5_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{3_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 5_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 5_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(x1)))))))))))
   0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{0_1}(x1))))))) -> 0_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))))))
   0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(x1))))))) -> 0_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))))))
   0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{2_1}(x1))))))) -> 0_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))))))
   0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(x1))))))) -> 0_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))))))
   0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(x1))))))) -> 0_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))))))
   0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(x1))))))) -> 0_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))))))
   1_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{0_1}(x1))))))) -> 1_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))))))
   1_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(x1))))))) -> 1_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))))))
   1_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{2_1}(x1))))))) -> 1_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))))))
   1_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(x1))))))) -> 1_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))))))
   1_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(x1))))))) -> 1_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))))))
   1_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(x1))))))) -> 1_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))))))
   2_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{0_1}(x1))))))) -> 2_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))))))
   2_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(x1))))))) -> 2_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))))))
   2_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{2_1}(x1))))))) -> 2_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))))))
   2_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(x1))))))) -> 2_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))))))
   2_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(x1))))))) -> 2_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))))))
   2_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(x1))))))) -> 2_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))))))
   3_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{0_1}(x1))))))) -> 3_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))))))
   3_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(x1))))))) -> 3_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))))))
   3_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{2_1}(x1))))))) -> 3_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))))))
   3_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(x1))))))) -> 3_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))))))
   3_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(x1))))))) -> 3_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))))))
   3_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(x1))))))) -> 3_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))))))
   4_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{0_1}(x1))))))) -> 4_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))))))
   4_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(x1))))))) -> 4_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))))))
   4_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{2_1}(x1))))))) -> 4_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))))))
   4_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(x1))))))) -> 4_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))))))
   4_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(x1))))))) -> 4_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))))))
   4_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(x1))))))) -> 4_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))))))
   5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{0_1}(x1))))))) -> 5_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))))))
   5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(x1))))))) -> 5_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))))))
   5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{2_1}(x1))))))) -> 5_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))))))
   5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(x1))))))) -> 5_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))))))
   5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(x1))))))) -> 5_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))))))
   5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(x1))))))) -> 5_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 1_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 1_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 1_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 1_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 1_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 1_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 2_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 2_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 2_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 2_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 2_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 2_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 3_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 3_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 3_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 3_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 3_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 3_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 4_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 4_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 4_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 4_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 4_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 4_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 5_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 5_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 5_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 5_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 5_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 5_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))))))
   1_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))))) -> 1_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   1_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))))) -> 1_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   1_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))))) -> 1_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   1_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))))) -> 1_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   1_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))))) -> 1_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   1_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))))) -> 1_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   5_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))))) -> 5_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   5_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))))) -> 5_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   5_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))))) -> 5_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   5_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))))) -> 5_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   5_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))))) -> 5_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   5_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))))) -> 5_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 0_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))
   0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 0_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))
   0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 0_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))
   0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 0_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))))))
   0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 0_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))))))
   0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 0_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))))))
   1_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 1_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))
   1_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 1_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))
   1_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 1_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))
   1_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 1_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))))))
   1_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 1_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))))))
   1_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 1_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))))))
   2_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 2_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))
   2_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 2_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))
   2_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 2_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))
   2_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 2_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))))))
   2_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 2_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))))))
   2_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 2_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))))))
   3_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))
   3_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))
   3_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))
   3_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))))))
   3_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))))))
   3_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))))))
   4_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 4_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))
   4_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 4_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))
   4_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 4_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))
   4_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 4_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))))))
   4_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 4_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))))))
   4_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 4_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))))))
   5_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 5_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))
   5_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 5_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))
   5_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 5_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))
   5_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 5_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))))))
   5_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 5_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))))))
   5_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 5_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))))))))
   0_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{0_1}(x1)))))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   0_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(x1)))))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   0_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(x1)))))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   0_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{3_1}(x1)))))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   0_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{4_1}(x1)))))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   0_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(x1)))))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   1_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{0_1}(x1)))))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   1_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(x1)))))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   1_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(x1)))))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   1_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{3_1}(x1)))))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   1_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{4_1}(x1)))))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   1_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(x1)))))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   2_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{0_1}(x1)))))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   2_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(x1)))))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   2_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(x1)))))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   2_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{3_1}(x1)))))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   2_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{4_1}(x1)))))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   2_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(x1)))))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{0_1}(x1)))))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(x1)))))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(x1)))))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{3_1}(x1)))))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{4_1}(x1)))))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(x1)))))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   4_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{0_1}(x1)))))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   4_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(x1)))))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   4_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(x1)))))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   4_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{3_1}(x1)))))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   4_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{4_1}(x1)))))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   4_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(x1)))))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   5_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{0_1}(x1)))))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   5_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(x1)))))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   5_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(x1)))))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   5_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{3_1}(x1)))))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   5_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{4_1}(x1)))))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   5_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(x1)))))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   0_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   0_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   0_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   0_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{3_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   0_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{4_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   0_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   1_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(x1)))))))) -> 1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   1_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(x1)))))))) -> 1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   1_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(x1)))))))) -> 1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   1_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{3_1}(x1)))))))) -> 1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   1_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{4_1}(x1)))))))) -> 1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   1_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(x1)))))))) -> 1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   2_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   2_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   2_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   2_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{3_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   2_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{4_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   2_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   3_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(x1)))))))) -> 3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   3_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(x1)))))))) -> 3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   3_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(x1)))))))) -> 3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   3_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{3_1}(x1)))))))) -> 3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   3_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{4_1}(x1)))))))) -> 3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   3_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(x1)))))))) -> 3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   4_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(x1)))))))) -> 4_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   4_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(x1)))))))) -> 4_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   4_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(x1)))))))) -> 4_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   4_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{3_1}(x1)))))))) -> 4_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   4_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{4_1}(x1)))))))) -> 4_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   4_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(x1)))))))) -> 4_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(x1)))))))) -> 5_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(x1)))))))) -> 5_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(x1)))))))) -> 5_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{3_1}(x1)))))))) -> 5_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{4_1}(x1)))))))) -> 5_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(x1)))))))) -> 5_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))))
   0_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(x1)))))))) -> 0_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(x1)))))))))))
   0_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{1_1}(x1)))))))) -> 0_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(x1)))))))))))
   0_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(x1)))))))) -> 0_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(x1)))))))))))
   0_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{3_1}(x1)))))))) -> 0_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{3_1}(x1)))))))))))
   0_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(x1)))))))) -> 0_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(x1)))))))))))
   0_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{5_1}(x1)))))))) -> 0_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{5_1}(x1)))))))))))
   1_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(x1)))))))) -> 1_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(x1)))))))))))
   1_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{1_1}(x1)))))))) -> 1_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(x1)))))))))))
   1_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(x1)))))))) -> 1_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(x1)))))))))))
   1_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{3_1}(x1)))))))) -> 1_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{3_1}(x1)))))))))))
   1_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(x1)))))))) -> 1_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(x1)))))))))))
   1_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{5_1}(x1)))))))) -> 1_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{5_1}(x1)))))))))))
   2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(x1)))))))) -> 2_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(x1)))))))))))
   2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{1_1}(x1)))))))) -> 2_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(x1)))))))))))
   2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(x1)))))))) -> 2_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(x1)))))))))))
   2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{3_1}(x1)))))))) -> 2_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{3_1}(x1)))))))))))
   2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(x1)))))))) -> 2_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(x1)))))))))))
   2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{5_1}(x1)))))))) -> 2_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{5_1}(x1)))))))))))
   3_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(x1)))))))) -> 3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(x1)))))))))))
   3_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{1_1}(x1)))))))) -> 3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(x1)))))))))))
   3_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(x1)))))))) -> 3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(x1)))))))))))
   3_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{3_1}(x1)))))))) -> 3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{3_1}(x1)))))))))))
   3_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(x1)))))))) -> 3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(x1)))))))))))
   3_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{5_1}(x1)))))))) -> 3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{5_1}(x1)))))))))))
   4_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(x1)))))))) -> 4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(x1)))))))))))
   4_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{1_1}(x1)))))))) -> 4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(x1)))))))))))
   4_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(x1)))))))) -> 4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(x1)))))))))))
   4_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{3_1}(x1)))))))) -> 4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{3_1}(x1)))))))))))
   4_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(x1)))))))) -> 4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(x1)))))))))))
   4_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{5_1}(x1)))))))) -> 4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{5_1}(x1)))))))))))
   5_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(x1)))))))) -> 5_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(x1)))))))))))
   5_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{1_1}(x1)))))))) -> 5_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(x1)))))))))))
   5_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(x1)))))))) -> 5_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(x1)))))))))))
   5_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{3_1}(x1)))))))) -> 5_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{3_1}(x1)))))))))))
   5_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(x1)))))))) -> 5_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(x1)))))))))))
   5_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{5_1}(x1)))))))) -> 5_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{5_1}(x1)))))))))))
   0_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(x1)))))))) -> 0_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   0_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{1_1}(x1)))))))) -> 0_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   0_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(x1)))))))) -> 0_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   0_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(x1)))))))) -> 0_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   0_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{4_1}(x1)))))))) -> 0_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   0_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{5_1}(x1)))))))) -> 0_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   1_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(x1)))))))) -> 1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   1_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{1_1}(x1)))))))) -> 1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   1_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(x1)))))))) -> 1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   1_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(x1)))))))) -> 1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   1_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{4_1}(x1)))))))) -> 1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   1_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{5_1}(x1)))))))) -> 1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(x1)))))))) -> 2_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{1_1}(x1)))))))) -> 2_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(x1)))))))) -> 2_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(x1)))))))) -> 2_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{4_1}(x1)))))))) -> 2_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{5_1}(x1)))))))) -> 2_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   3_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(x1)))))))) -> 3_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   3_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{1_1}(x1)))))))) -> 3_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   3_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(x1)))))))) -> 3_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   3_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(x1)))))))) -> 3_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   3_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{4_1}(x1)))))))) -> 3_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   3_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{5_1}(x1)))))))) -> 3_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(x1)))))))) -> 4_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{1_1}(x1)))))))) -> 4_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(x1)))))))) -> 4_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(x1)))))))) -> 4_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{4_1}(x1)))))))) -> 4_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{5_1}(x1)))))))) -> 4_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   5_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(x1)))))))) -> 5_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   5_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{1_1}(x1)))))))) -> 5_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   5_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(x1)))))))) -> 5_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   5_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(x1)))))))) -> 5_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   5_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{4_1}(x1)))))))) -> 5_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   5_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{5_1}(x1)))))))) -> 5_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{0_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{1_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{4_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{0_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{1_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{4_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{0_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{1_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{4_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{0_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{1_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{4_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{0_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{1_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{4_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{0_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{1_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{4_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1)))))))) -> 0_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1)))))))) -> 0_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1)))))))) -> 0_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1)))))))) -> 0_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1)))))))) -> 0_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1)))))))) -> 0_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1)))))))) -> 1_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1)))))))) -> 1_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1)))))))) -> 1_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1)))))))) -> 1_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1)))))))) -> 1_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1)))))))) -> 1_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1)))))))) -> 2_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1)))))))) -> 2_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1)))))))) -> 2_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1)))))))) -> 2_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1)))))))) -> 2_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1)))))))) -> 2_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1)))))))) -> 3_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1)))))))) -> 3_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1)))))))) -> 3_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1)))))))) -> 3_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1)))))))) -> 3_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1)))))))) -> 3_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1)))))))) -> 4_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1)))))))) -> 4_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1)))))))) -> 4_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1)))))))) -> 4_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1)))))))) -> 4_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1)))))))) -> 4_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1)))))))) -> 5_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1)))))))) -> 5_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1)))))))) -> 5_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1)))))))) -> 5_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1)))))))) -> 5_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1)))))))) -> 5_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   0_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(x1)))))))) -> 0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))
   0_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(x1)))))))) -> 0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))
   0_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(x1)))))))) -> 0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))
   0_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(x1)))))))) -> 0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))
   0_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{4_1}(x1)))))))) -> 0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))
   0_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(x1)))))))) -> 0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))
   1_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(x1)))))))) -> 1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))
   1_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(x1)))))))) -> 1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))
   1_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(x1)))))))) -> 1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))
   1_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(x1)))))))) -> 1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))
   1_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{4_1}(x1)))))))) -> 1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))
   1_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(x1)))))))) -> 1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))
   2_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(x1)))))))) -> 2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))
   2_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(x1)))))))) -> 2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))
   2_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(x1)))))))) -> 2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))
   2_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(x1)))))))) -> 2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))
   2_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{4_1}(x1)))))))) -> 2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))
   2_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(x1)))))))) -> 2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))
   3_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(x1)))))))) -> 3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))
   3_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(x1)))))))) -> 3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))
   3_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(x1)))))))) -> 3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))
   3_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(x1)))))))) -> 3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))
   3_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{4_1}(x1)))))))) -> 3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))
   3_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(x1)))))))) -> 3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))
   4_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(x1)))))))) -> 4_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))
   4_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(x1)))))))) -> 4_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))
   4_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(x1)))))))) -> 4_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))
   4_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(x1)))))))) -> 4_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))
   4_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{4_1}(x1)))))))) -> 4_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))
   4_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(x1)))))))) -> 4_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))
   5_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(x1)))))))) -> 5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))
   5_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(x1)))))))) -> 5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))
   5_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(x1)))))))) -> 5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))
   5_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(x1)))))))) -> 5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))
   5_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{4_1}(x1)))))))) -> 5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))
   5_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(x1)))))))) -> 5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))
   0_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))
   0_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))
   0_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))
   0_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))
   0_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))
   0_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))
   1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))
   1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))
   1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))
   1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))
   1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))
   1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))
   2_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))
   2_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))
   2_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))
   2_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))
   2_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))
   2_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))
   3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 3_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))
   3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 3_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))
   3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 3_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))
   3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 3_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))
   3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 3_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))
   3_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 3_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))
   4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 4_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))
   4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 4_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))
   4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 4_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))
   4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 4_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))
   4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 4_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))
   4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 4_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))
   5_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 5_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))
   5_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 5_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))
   5_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 5_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))
   5_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 5_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))
   5_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 5_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))
   5_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 5_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))
   0_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{0_1}(x1)))))))) -> 0_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   0_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(x1)))))))) -> 0_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   0_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(x1)))))))) -> 0_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   0_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(x1)))))))) -> 0_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   0_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{4_1}(x1)))))))) -> 0_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   0_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{5_1}(x1)))))))) -> 0_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   1_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{0_1}(x1)))))))) -> 1_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   1_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(x1)))))))) -> 1_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   1_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(x1)))))))) -> 1_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   1_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(x1)))))))) -> 1_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   1_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{4_1}(x1)))))))) -> 1_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   1_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{5_1}(x1)))))))) -> 1_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{0_1}(x1)))))))) -> 2_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(x1)))))))) -> 2_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(x1)))))))) -> 2_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(x1)))))))) -> 2_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{4_1}(x1)))))))) -> 2_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{5_1}(x1)))))))) -> 2_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   3_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{0_1}(x1)))))))) -> 3_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   3_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(x1)))))))) -> 3_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   3_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(x1)))))))) -> 3_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   3_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(x1)))))))) -> 3_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   3_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{4_1}(x1)))))))) -> 3_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   3_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{5_1}(x1)))))))) -> 3_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   4_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{0_1}(x1)))))))) -> 4_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   4_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(x1)))))))) -> 4_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   4_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(x1)))))))) -> 4_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   4_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(x1)))))))) -> 4_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   4_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{4_1}(x1)))))))) -> 4_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   4_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{5_1}(x1)))))))) -> 4_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{0_1}(x1)))))))) -> 5_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(x1)))))))) -> 5_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(x1)))))))) -> 5_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(x1)))))))) -> 5_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{4_1}(x1)))))))) -> 5_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{5_1}(x1)))))))) -> 5_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
Rules from S:

   5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(x1)))))) -> 5_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1))))))))))
   5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{1_1}(x1)))))) -> 5_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x1))))))))))
   5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{2_1}(x1)))))) -> 5_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1))))))))))
   5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(x1)))))) -> 5_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(x1))))))))))
   5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{4_1}(x1)))))) -> 5_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(x1))))))))))
   5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{5_1}(x1)))))) -> 5_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(x1))))))))))
   1_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{0_1}(x1))))))) -> 1_{0_1}(0_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))
   1_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(x1))))))) -> 1_{0_1}(0_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))
   1_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(x1))))))) -> 1_{0_1}(0_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))
   1_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{3_1}(x1))))))) -> 1_{0_1}(0_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))
   1_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{4_1}(x1))))))) -> 1_{0_1}(0_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))
   1_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(x1))))))) -> 1_{0_1}(0_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))
   4_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1))))))) -> 4_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(x1))))))))))
   4_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1))))))) -> 4_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(x1))))))))))
   4_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1))))))) -> 4_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(x1))))))))))
   4_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(x1))))))) -> 4_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(x1))))))))))
   4_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(x1))))))) -> 4_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(x1))))))))))
   4_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(x1))))))) -> 4_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{5_1}(x1))))))))))
   0_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{0_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))
   0_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{1_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))
   0_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{2_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))
   0_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1)))))))))))
   0_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1)))))))))))
   0_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1)))))))))))
   1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{0_1}(x1))))))) -> 1_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))
   1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{1_1}(x1))))))) -> 1_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))
   1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{2_1}(x1))))))) -> 1_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))
   1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(x1))))))) -> 1_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1)))))))))))
   1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(x1))))))) -> 1_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1)))))))))))
   1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(x1))))))) -> 1_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1)))))))))))
   2_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{0_1}(x1))))))) -> 2_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))
   2_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{1_1}(x1))))))) -> 2_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))
   2_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{2_1}(x1))))))) -> 2_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))
   2_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(x1))))))) -> 2_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1)))))))))))
   2_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(x1))))))) -> 2_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1)))))))))))
   2_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(x1))))))) -> 2_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1)))))))))))
   3_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{0_1}(x1))))))) -> 3_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))
   3_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(x1))))))) -> 3_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1)))))))))))
   3_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(x1))))))) -> 3_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1)))))))))))
   4_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{0_1}(x1))))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))
   4_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{1_1}(x1))))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))
   4_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{2_1}(x1))))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))
   4_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(x1))))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1)))))))))))
   4_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(x1))))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1)))))))))))
   4_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(x1))))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1)))))))))))
   5_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{0_1}(x1))))))) -> 5_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))
   5_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{1_1}(x1))))))) -> 5_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))
   5_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{2_1}(x1))))))) -> 5_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))
   5_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(x1))))))) -> 5_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1)))))))))))
   5_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(x1))))))) -> 5_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1)))))))))))
   5_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(x1))))))) -> 5_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1)))))))))))
   0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(x1)))))))))))
   0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(x1)))))))))))
   0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(x1)))))))))))
   0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(x1)))))))))))
   0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(x1)))))))))))
   0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{5_1}(x1)))))))))))
   1_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(x1)))))))))))
   1_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(x1)))))))))))
   1_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(x1)))))))))))
   1_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(x1)))))))))))
   2_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(x1)))))))))))
   2_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(x1)))))))))))
   2_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(x1)))))))))))
   2_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(x1)))))))))))
   2_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(x1)))))))))))
   2_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{5_1}(x1)))))))))))
   3_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(x1)))))))))))
   3_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(x1)))))))))))
   3_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(x1)))))))))))
   3_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(x1)))))))))))
   3_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(x1)))))))))))
   3_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{5_1}(x1)))))))))))
   4_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(x1)))))))))))
   4_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(x1)))))))))))
   4_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(x1)))))))))))
   4_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(x1)))))))))))
   4_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(x1)))))))))))
   4_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{5_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(x1)))))))) -> 0_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(x1)))))))) -> 0_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(x1)))))))) -> 0_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{3_1}(x1)))))))) -> 0_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(x1)))))))) -> 0_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(x1)))))))) -> 0_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(x1)))))))) -> 1_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(x1)))))))) -> 1_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(x1)))))))) -> 1_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{3_1}(x1)))))))) -> 1_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(x1)))))))) -> 1_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(x1)))))))) -> 1_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(x1)))))))) -> 2_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(x1)))))))) -> 2_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(x1)))))))) -> 2_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{3_1}(x1)))))))) -> 2_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(x1)))))))) -> 2_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(x1)))))))) -> 2_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(x1)))))))) -> 3_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(x1)))))))) -> 3_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(x1)))))))) -> 3_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{3_1}(x1)))))))) -> 3_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(x1)))))))) -> 3_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(x1)))))))) -> 3_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(x1)))))))) -> 4_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(x1)))))))) -> 4_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(x1)))))))) -> 4_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{3_1}(x1)))))))) -> 4_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(x1)))))))) -> 4_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(x1)))))))) -> 4_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(x1)))))))) -> 5_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(x1)))))))) -> 5_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(x1)))))))) -> 5_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{3_1}(x1)))))))) -> 5_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(x1)))))))) -> 5_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(x1)))))))) -> 5_{5_1}(5_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))




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

(6)
Obligation:
Relative term rewrite system:
The relative TRS consists of the following R rules:

   0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))))))
   0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))))))
   0_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(x1))))))))))
   0_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))))))
   0_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))))))
   0_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))))))
   0_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))))))
   0_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))))))
   0_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))))))
   4_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(x1)))))) -> 4_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x1))))))))))
   4_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(x1)))))) -> 4_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x1))))))))))
   4_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{4_1}(x1)))))) -> 4_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{4_1}(x1))))))))))
   0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))) -> 0_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(x1))))))))))
   0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))) -> 0_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(x1))))))))))
   3_{3_1}(3_{3_1}(3_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(x1))))))) -> 3_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1))))))))))
   3_{3_1}(3_{3_1}(3_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(x1))))))) -> 3_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1))))))))))
   3_{3_1}(3_{3_1}(3_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(x1))))))) -> 3_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1))))))))))
   3_{3_1}(3_{3_1}(3_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(x1))))))) -> 3_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1))))))))))
   3_{3_1}(3_{3_1}(3_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(x1))))))) -> 3_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1))))))))))
   3_{3_1}(3_{3_1}(3_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(x1))))))) -> 3_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{0_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{0_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{1_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{3_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{4_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(x1))))))))))
   5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(x1))))))) -> 5_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(x1))))))))))
   5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(1_{2_1}(2_{3_1}(x1))))))) -> 5_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(x1))))))))))
   5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(1_{2_1}(2_{5_1}(x1))))))) -> 5_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{5_1}(x1))))))))))
   1_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))))))
   1_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))))))
   1_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))))))
   0_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   0_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   0_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   0_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   0_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   0_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   2_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))))) -> 2_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   2_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))))) -> 2_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   2_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))))) -> 2_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   2_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))))) -> 2_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   2_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))))) -> 2_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   2_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))))) -> 2_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   3_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))))) -> 3_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   3_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))))) -> 3_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   3_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))))) -> 3_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   3_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))))) -> 3_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   3_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))))) -> 3_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   3_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))))) -> 3_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   4_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   4_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   4_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   4_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   4_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   4_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))))))

The relative TRS consists of the following S rules:

   3_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{1_1}(x1))))))) -> 3_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))
   3_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{2_1}(x1))))))) -> 3_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))
   3_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(x1))))))) -> 3_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1)))))))))))
   1_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(x1)))))))))))
   1_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{5_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{5_1}(x1)))))))))))


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(7) RelTRSRRRProof (EQUIVALENT)
We used the following monotonic ordering for rule removal:
Polynomial interpretation [POLO]:

   POL(0_{0_1}(x_1)) = x_1
   POL(0_{1_1}(x_1)) = x_1
   POL(0_{2_1}(x_1)) = 1 + x_1
   POL(0_{3_1}(x_1)) = x_1
   POL(0_{4_1}(x_1)) = x_1
   POL(0_{5_1}(x_1)) = 1 + x_1
   POL(1_{0_1}(x_1)) = x_1
   POL(1_{1_1}(x_1)) = x_1
   POL(1_{2_1}(x_1)) = x_1
   POL(1_{3_1}(x_1)) = 1 + x_1
   POL(1_{4_1}(x_1)) = x_1
   POL(1_{5_1}(x_1)) = 1 + x_1
   POL(2_{0_1}(x_1)) = x_1
   POL(2_{1_1}(x_1)) = x_1
   POL(2_{2_1}(x_1)) = x_1
   POL(2_{3_1}(x_1)) = 1 + x_1
   POL(2_{4_1}(x_1)) = x_1
   POL(2_{5_1}(x_1)) = x_1
   POL(3_{0_1}(x_1)) = x_1
   POL(3_{1_1}(x_1)) = x_1
   POL(3_{2_1}(x_1)) = x_1
   POL(3_{3_1}(x_1)) = 1 + x_1
   POL(3_{4_1}(x_1)) = 1 + x_1
   POL(3_{5_1}(x_1)) = 1 + x_1
   POL(4_{0_1}(x_1)) = x_1
   POL(4_{1_1}(x_1)) = 1 + x_1
   POL(4_{2_1}(x_1)) = x_1
   POL(4_{3_1}(x_1)) = 1 + x_1
   POL(4_{4_1}(x_1)) = 1 + x_1
   POL(4_{5_1}(x_1)) = 1 + x_1
   POL(5_{0_1}(x_1)) = x_1
   POL(5_{1_1}(x_1)) = x_1
   POL(5_{2_1}(x_1)) = 1 + x_1
   POL(5_{3_1}(x_1)) = 1 + x_1
   POL(5_{4_1}(x_1)) = 1 + x_1
   POL(5_{5_1}(x_1)) = x_1
With this ordering the following rules can be removed [MATRO] because they are oriented strictly:
Rules from R:

   0_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))))))
   0_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))))))
   0_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))))))
   0_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))))))
   0_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))))))
   0_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))))))
   4_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(x1)))))) -> 4_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x1))))))))))
   4_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(x1)))))) -> 4_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x1))))))))))
   4_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{4_1}(x1)))))) -> 4_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{4_1}(x1))))))))))
   0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))) -> 0_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(x1))))))))))
   0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))) -> 0_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(x1))))))))))
   3_{3_1}(3_{3_1}(3_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(x1))))))) -> 3_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1))))))))))
   3_{3_1}(3_{3_1}(3_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(x1))))))) -> 3_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1))))))))))
   3_{3_1}(3_{3_1}(3_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(x1))))))) -> 3_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1))))))))))
   3_{3_1}(3_{3_1}(3_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(x1))))))) -> 3_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1))))))))))
   3_{3_1}(3_{3_1}(3_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(x1))))))) -> 3_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1))))))))))
   3_{3_1}(3_{3_1}(3_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(x1))))))) -> 3_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1))))))))))
   5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(x1))))))) -> 5_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(x1))))))))))
   5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(1_{2_1}(2_{3_1}(x1))))))) -> 5_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(x1))))))))))
   5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(1_{2_1}(2_{5_1}(x1))))))) -> 5_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{5_1}(x1))))))))))
   1_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))))))
   1_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))))))
   1_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))))))
   2_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))))) -> 2_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   2_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))))) -> 2_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   2_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))))) -> 2_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   2_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))))) -> 2_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   2_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))))) -> 2_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   2_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))))) -> 2_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   3_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))))) -> 3_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   3_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))))) -> 3_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   3_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))))) -> 3_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   3_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))))) -> 3_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   3_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))))) -> 3_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   3_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))))) -> 3_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   4_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   4_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   4_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   4_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   4_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   4_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))))) -> 4_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))))))
Rules from S:

   3_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{1_1}(x1))))))) -> 3_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))
   3_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{2_1}(x1))))))) -> 3_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))
   3_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(x1))))))) -> 3_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(x1)))))))))))
   5_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{5_1}(x1)))))))))))




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

(8)
Obligation:
Relative term rewrite system:
The relative TRS consists of the following R rules:

   0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))))))
   0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))))))
   0_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{0_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{0_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{1_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{3_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{4_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(x1))))))))))
   0_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   0_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   0_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   0_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   0_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   0_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))

The relative TRS consists of the following S rules:

   1_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(x1)))))))))))
   1_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{5_1}(x1)))))))))))


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

(9) RelTRSRRRProof (EQUIVALENT)
We used the following monotonic ordering for rule removal:
Polynomial interpretation [POLO]:

   POL(0_{0_1}(x_1)) = x_1
   POL(0_{1_1}(x_1)) = x_1
   POL(0_{2_1}(x_1)) = x_1
   POL(0_{3_1}(x_1)) = 1 + x_1
   POL(0_{4_1}(x_1)) = x_1
   POL(0_{5_1}(x_1)) = x_1
   POL(1_{0_1}(x_1)) = x_1
   POL(1_{1_1}(x_1)) = x_1
   POL(1_{2_1}(x_1)) = x_1
   POL(1_{3_1}(x_1)) = x_1
   POL(1_{4_1}(x_1)) = x_1
   POL(1_{5_1}(x_1)) = x_1
   POL(2_{0_1}(x_1)) = x_1
   POL(2_{1_1}(x_1)) = x_1
   POL(2_{2_1}(x_1)) = x_1
   POL(2_{3_1}(x_1)) = x_1
   POL(2_{4_1}(x_1)) = x_1
   POL(2_{5_1}(x_1)) = x_1
   POL(3_{0_1}(x_1)) = x_1
   POL(3_{1_1}(x_1)) = x_1
   POL(3_{2_1}(x_1)) = 1 + x_1
   POL(3_{3_1}(x_1)) = x_1
   POL(3_{4_1}(x_1)) = x_1
   POL(3_{5_1}(x_1)) = x_1
   POL(4_{0_1}(x_1)) = x_1
   POL(4_{1_1}(x_1)) = x_1
   POL(4_{2_1}(x_1)) = x_1
   POL(4_{3_1}(x_1)) = x_1
   POL(4_{4_1}(x_1)) = x_1
   POL(4_{5_1}(x_1)) = x_1
   POL(5_{0_1}(x_1)) = x_1
   POL(5_{3_1}(x_1)) = x_1
   POL(5_{4_1}(x_1)) = x_1
   POL(5_{5_1}(x_1)) = x_1
With this ordering the following rules can be removed [MATRO] because they are oriented strictly:
Rules from R:

   0_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   0_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   0_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   0_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   0_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   0_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
Rules from S:

   1_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(x1)))))))))))
   1_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(4_{5_1}(x1)))))))))))




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

(10)
Obligation:
Relative term rewrite system:
The relative TRS consists of the following R rules:

   0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))))))
   0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))))))
   0_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{0_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{0_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{1_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{3_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{4_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(x1))))))))))
   4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))

S is empty.

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(11) SIsEmptyProof (EQUIVALENT)
The TRS S is empty. Hence, termination of R/S is equivalent to termination of R.
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(12)
Obligation:
Q restricted rewrite system:
The TRS R consists of the following rules:

   0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))))))
   0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))))))
   0_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{0_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{0_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{1_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{3_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{4_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(x1))))))))))
   4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))

Q is empty.

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(13) RFCMatchBoundsTRSProof (EQUIVALENT)
Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 0. This implies Q-termination of R.
The following rules were used to construct the certificate:

   0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))))))
   0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))))))
   0_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{0_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{0_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{1_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{3_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{4_1}(x1))))))))))
   4_{5_1}(5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(x1))))))))))
   4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))

The certificate found is represented by the following graph.
The certificate consists of the following enumerated nodes:
2703, 2704, 2734, 2735, 2736, 2737, 2738, 2739, 2740, 2741, 2742, 2743, 2744, 2745, 2746, 2747, 2748, 2749, 2787, 2788, 2789, 2790, 2791, 2792, 2793, 2794, 2795, 2796, 2797, 2798

Node 2703 is start node and node 2704 is final node.

Those nodes are connected through the following edges:

* 2703 to 2734 labelled 0_{1_1}_1(0)* 2703 to 2743 labelled 4_{5_1}_1(0)* 2703 to 2789 labelled 4_{1_1}_1(0)* 2704 to 2704 labelled #_1(0)* 2734 to 2735 labelled 1_{1_1}_1(0)* 2735 to 2736 labelled 1_{1_1}_1(0)* 2736 to 2737 labelled 1_{0_1}_1(0)* 2737 to 2738 labelled 0_{0_1}_1(0)* 2738 to 2739 labelled 0_{1_1}_1(0)* 2739 to 2740 labelled 1_{2_1}_1(0)* 2740 to 2741 labelled 2_{2_1}_1(0)* 2741 to 2742 labelled 2_{2_1}_1(0)* 2742 to 2704 labelled 2_{1_1}_1(0), 2_{2_1}_1(0), 2_{4_1}_1(0)* 2743 to 2744 labelled 5_{5_1}_1(0)* 2744 to 2745 labelled 5_{5_1}_1(0)* 2745 to 2746 labelled 5_{4_1}_1(0)* 2746 to 2747 labelled 4_{2_1}_1(0)* 2747 to 2748 labelled 2_{4_1}_1(0)* 2748 to 2749 labelled 4_{4_1}_1(0)* 2749 to 2787 labelled 4_{2_1}_1(0)* 2787 to 2788 labelled 2_{3_1}_1(0)* 2788 to 2704 labelled 3_{0_1}_1(0), 3_{1_1}_1(0), 3_{2_1}_1(0), 3_{3_1}_1(0), 3_{4_1}_1(0), 3_{5_1}_1(0)* 2789 to 2790 labelled 1_{2_1}_1(0)* 2790 to 2791 labelled 2_{0_1}_1(0)* 2791 to 2792 labelled 0_{0_1}_1(0)* 2792 to 2793 labelled 0_{3_1}_1(0)* 2793 to 2794 labelled 3_{3_1}_1(0)* 2794 to 2795 labelled 3_{4_1}_1(0)* 2795 to 2796 labelled 4_{2_1}_1(0)* 2796 to 2797 labelled 2_{2_1}_1(0)* 2797 to 2798 labelled 2_{1_1}_1(0)* 2798 to 2704 labelled 1_{0_1}_1(0), 1_{1_1}_1(0), 1_{2_1}_1(0), 1_{3_1}_1(0), 1_{4_1}_1(0), 1_{5_1}_1(0)


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(14)
YES