/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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


YES
proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


Termination of the given RelTRS could be proven:

(0) RelTRS
(1) FlatCCProof [EQUIVALENT, 0 ms]
(2) RelTRS
(3) RootLabelingProof [EQUIVALENT, 490 ms]
(4) RelTRS
(5) RelTRSRRRProof [EQUIVALENT, 795 ms]
(6) RelTRS
(7) RelTRSRRRProof [EQUIVALENT, 85 ms]
(8) RelTRS
(9) SIsEmptyProof [EQUIVALENT, 0 ms]
(10) QTRS
(11) RFCMatchBoundsTRSProof [EQUIVALENT, 14 ms]
(12) YES


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

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

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

The relative TRS consists of the following S rules:

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

The relative TRS consists of the following S rules:

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

The relative TRS consists of the following S rules:

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


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

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

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

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

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




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

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

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

The relative TRS consists of the following S rules:

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


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

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

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

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




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

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

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

S is empty.

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

(9) SIsEmptyProof (EQUIVALENT)
The TRS S is empty. Hence, termination of R/S is equivalent to termination of R.
----------------------------------------

(10)
Obligation:
Q restricted rewrite system:
The TRS R consists of the following rules:

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

Q is empty.

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

(11) RFCMatchBoundsTRSProof (EQUIVALENT)
Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R.
The following rules were used to construct the certificate:

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

The certificate found is represented by the following graph.
The certificate consists of the following enumerated nodes:
1629, 1630, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785

Node 1629 is start node and node 1630 is final node.

Those nodes are connected through the following edges:

* 1629 to 1652 labelled 0_{2_1}_1(0)* 1629 to 1668 labelled 2_{2_1}_1(0)* 1629 to 1706 labelled 2_{1_1}_1(0)* 1629 to 1722 labelled 2_{2_1}_1(0)* 1630 to 1630 labelled #_1(0)* 1652 to 1653 labelled 2_{2_1}_1(0)* 1653 to 1654 labelled 2_{1_1}_1(0)* 1654 to 1655 labelled 1_{0_1}_1(0)* 1655 to 1656 labelled 0_{1_1}_1(0)* 1656 to 1657 labelled 1_{2_1}_1(0)* 1657 to 1658 labelled 2_{3_1}_1(0)* 1658 to 1659 labelled 3_{0_1}_1(0)* 1659 to 1660 labelled 0_{0_1}_1(0)* 1660 to 1661 labelled 0_{3_1}_1(0)* 1661 to 1662 labelled 3_{2_1}_1(0)* 1662 to 1663 labelled 2_{2_1}_1(0)* 1663 to 1664 labelled 2_{3_1}_1(0)* 1664 to 1665 labelled 3_{1_1}_1(0)* 1665 to 1666 labelled 1_{2_1}_1(0)* 1666 to 1667 labelled 2_{2_1}_1(0)* 1666 to 1738 labelled 2_{2_1}_1(1)* 1667 to 1630 labelled 2_{0_1}_1(0), 2_{1_1}_1(0), 2_{2_1}_1(0), 2_{3_1}_1(0)* 1667 to 1738 labelled 2_{2_1}_1(1)* 1667 to 1754 labelled 2_{1_1}_1(1)* 1667 to 1770 labelled 2_{2_1}_1(1)* 1668 to 1669 labelled 2_{0_1}_1(0)* 1669 to 1670 labelled 0_{2_1}_1(0)* 1670 to 1671 labelled 2_{2_1}_1(0)* 1671 to 1672 labelled 2_{2_1}_1(0)* 1672 to 1673 labelled 2_{1_1}_1(0)* 1673 to 1674 labelled 1_{0_1}_1(0)* 1674 to 1675 labelled 0_{0_1}_1(0)* 1675 to 1676 labelled 0_{3_1}_1(0)* 1676 to 1677 labelled 3_{1_1}_1(0)* 1677 to 1678 labelled 1_{3_1}_1(0)* 1678 to 1679 labelled 3_{1_1}_1(0)* 1679 to 1680 labelled 1_{3_1}_1(0)* 1680 to 1681 labelled 3_{3_1}_1(0)* 1681 to 1682 labelled 3_{2_1}_1(0)* 1682 to 1683 labelled 2_{2_1}_1(0)* 1682 to 1738 labelled 2_{2_1}_1(1)* 1683 to 1630 labelled 2_{0_1}_1(0), 2_{1_1}_1(0), 2_{2_1}_1(0), 2_{3_1}_1(0)* 1683 to 1738 labelled 2_{2_1}_1(1)* 1683 to 1754 labelled 2_{1_1}_1(1)* 1683 to 1770 labelled 2_{2_1}_1(1)* 1706 to 1707 labelled 1_{2_1}_1(0)* 1707 to 1708 labelled 2_{2_1}_1(0)* 1708 to 1709 labelled 2_{3_1}_1(0)* 1709 to 1710 labelled 3_{0_1}_1(0)* 1710 to 1711 labelled 0_{0_1}_1(0)* 1711 to 1712 labelled 0_{1_1}_1(0)* 1712 to 1713 labelled 1_{3_1}_1(0)* 1713 to 1714 labelled 3_{2_1}_1(0)* 1714 to 1715 labelled 2_{2_1}_1(0)* 1715 to 1716 labelled 2_{3_1}_1(0)* 1716 to 1717 labelled 3_{2_1}_1(0)* 1717 to 1718 labelled 2_{2_1}_1(0)* 1718 to 1719 labelled 2_{3_1}_1(0)* 1719 to 1720 labelled 3_{3_1}_1(0)* 1720 to 1721 labelled 3_{2_1}_1(0)* 1721 to 1630 labelled 2_{0_1}_1(0), 2_{1_1}_1(0), 2_{2_1}_1(0), 2_{3_1}_1(0)* 1721 to 1738 labelled 2_{2_1}_1(1)* 1721 to 1754 labelled 2_{1_1}_1(1)* 1721 to 1770 labelled 2_{2_1}_1(1)* 1722 to 1723 labelled 2_{2_1}_1(0)* 1723 to 1724 labelled 2_{0_1}_1(0)* 1724 to 1725 labelled 0_{3_1}_1(0)* 1725 to 1726 labelled 3_{2_1}_1(0)* 1726 to 1727 labelled 2_{2_1}_1(0)* 1727 to 1728 labelled 2_{0_1}_1(0)* 1728 to 1729 labelled 0_{2_1}_1(0)* 1729 to 1730 labelled 2_{3_1}_1(0)* 1730 to 1731 labelled 3_{2_1}_1(0)* 1731 to 1732 labelled 2_{3_1}_1(0)* 1732 to 1733 labelled 3_{0_1}_1(0)* 1733 to 1734 labelled 0_{2_1}_1(0)* 1734 to 1735 labelled 2_{2_1}_1(0)* 1735 to 1736 labelled 2_{0_1}_1(0)* 1736 to 1737 labelled 0_{2_1}_1(0)* 1737 to 1630 labelled 2_{2_1}_1(0), 2_{3_1}_1(0)* 1737 to 1738 labelled 2_{2_1}_1(1)* 1737 to 1754 labelled 2_{1_1}_1(1)* 1737 to 1770 labelled 2_{2_1}_1(1)* 1738 to 1739 labelled 2_{0_1}_1(1)* 1739 to 1740 labelled 0_{2_1}_1(1)* 1740 to 1741 labelled 2_{2_1}_1(1)* 1741 to 1742 labelled 2_{2_1}_1(1)* 1742 to 1743 labelled 2_{1_1}_1(1)* 1743 to 1744 labelled 1_{0_1}_1(1)* 1744 to 1745 labelled 0_{0_1}_1(1)* 1745 to 1746 labelled 0_{3_1}_1(1)* 1746 to 1747 labelled 3_{1_1}_1(1)* 1747 to 1748 labelled 1_{3_1}_1(1)* 1748 to 1749 labelled 3_{1_1}_1(1)* 1749 to 1750 labelled 1_{3_1}_1(1)* 1750 to 1751 labelled 3_{3_1}_1(1)* 1751 to 1752 labelled 3_{2_1}_1(1)* 1752 to 1753 labelled 2_{2_1}_1(1)* 1752 to 1738 labelled 2_{2_1}_1(1)* 1753 to 1630 labelled 2_{0_1}_1(1), 2_{1_1}_1(1), 2_{2_1}_1(1), 2_{3_1}_1(1)* 1753 to 1738 labelled 2_{2_1}_1(1)* 1753 to 1754 labelled 2_{1_1}_1(1)* 1753 to 1770 labelled 2_{2_1}_1(1)* 1754 to 1755 labelled 1_{2_1}_1(1)* 1755 to 1756 labelled 2_{2_1}_1(1)* 1756 to 1757 labelled 2_{3_1}_1(1)* 1757 to 1758 labelled 3_{0_1}_1(1)* 1758 to 1759 labelled 0_{0_1}_1(1)* 1759 to 1760 labelled 0_{1_1}_1(1)* 1760 to 1761 labelled 1_{3_1}_1(1)* 1761 to 1762 labelled 3_{2_1}_1(1)* 1762 to 1763 labelled 2_{2_1}_1(1)* 1763 to 1764 labelled 2_{3_1}_1(1)* 1764 to 1765 labelled 3_{2_1}_1(1)* 1765 to 1766 labelled 2_{2_1}_1(1)* 1766 to 1767 labelled 2_{3_1}_1(1)* 1767 to 1768 labelled 3_{3_1}_1(1)* 1768 to 1769 labelled 3_{2_1}_1(1)* 1769 to 1630 labelled 2_{0_1}_1(1), 2_{1_1}_1(1), 2_{2_1}_1(1), 2_{3_1}_1(1)* 1769 to 1738 labelled 2_{2_1}_1(1)* 1769 to 1754 labelled 2_{1_1}_1(1)* 1769 to 1770 labelled 2_{2_1}_1(1)* 1770 to 1771 labelled 2_{2_1}_1(1)* 1771 to 1772 labelled 2_{0_1}_1(1)* 1772 to 1773 labelled 0_{3_1}_1(1)* 1773 to 1774 labelled 3_{2_1}_1(1)* 1774 to 1775 labelled 2_{2_1}_1(1)* 1775 to 1776 labelled 2_{0_1}_1(1)* 1776 to 1777 labelled 0_{2_1}_1(1)* 1777 to 1778 labelled 2_{3_1}_1(1)* 1778 to 1779 labelled 3_{2_1}_1(1)* 1779 to 1780 labelled 2_{3_1}_1(1)* 1780 to 1781 labelled 3_{0_1}_1(1)* 1781 to 1782 labelled 0_{2_1}_1(1)* 1782 to 1783 labelled 2_{2_1}_1(1)* 1783 to 1784 labelled 2_{0_1}_1(1)* 1784 to 1785 labelled 0_{2_1}_1(1)* 1785 to 1630 labelled 2_{2_1}_1(1), 2_{3_1}_1(1)* 1785 to 1738 labelled 2_{2_1}_1(1)* 1785 to 1754 labelled 2_{1_1}_1(1)* 1785 to 1770 labelled 2_{2_1}_1(1)


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(12)
YES