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


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


YES
proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty


Termination of the given RelTRS could be proven:

(0) RelTRS
(1) RelTRS Reverse [EQUIVALENT, 86 ms]
(2) RelTRS
(3) FlatCCProof [EQUIVALENT, 190 ms]
(4) RelTRS
(5) RootLabelingProof [EQUIVALENT, 1051 ms]
(6) RelTRS
(7) RelTRSRRRProof [EQUIVALENT, 965 ms]
(8) RelTRS
(9) RelTRSRRRProof [EQUIVALENT, 20 ms]
(10) RelTRS
(11) SIsEmptyProof [EQUIVALENT, 0 ms]
(12) QTRS
(13) RFCMatchBoundsTRSProof [EQUIVALENT, 9 ms]
(14) YES


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

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

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

The relative TRS consists of the following S rules:

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


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

(1) RelTRS Reverse (EQUIVALENT)
We have reversed the following relative TRS [REVERSE]:
The set of rules R is 
   0(0(0(0(1(2(1(2(2(1(1(2(0(x1))))))))))))) -> 0(0(0(0(1(2(2(2(2(2(2(2(2(2(1(2(0(x1)))))))))))))))))
   0(0(0(2(1(0(2(1(1(2(0(2(1(x1))))))))))))) -> 0(0(0(1(0(1(2(2(2(2(2(2(2(2(1(2(2(x1)))))))))))))))))
   0(0(0(2(2(1(0(2(2(0(1(1(0(x1))))))))))))) -> 0(1(2(0(0(0(0(0(0(0(0(0(0(0(2(1(1(x1)))))))))))))))))
   0(0(1(0(1(0(0(2(0(2(1(0(1(x1))))))))))))) -> 0(0(0(0(0(1(2(1(0(0(0(0(1(2(2(2(0(x1)))))))))))))))))
   0(0(1(1(1(0(2(1(2(0(2(1(2(x1))))))))))))) -> 0(0(0(1(0(0(0(0(0(1(2(2(0(2(1(2(1(x1)))))))))))))))))
   0(0(2(0(1(1(0(2(1(1(0(2(2(x1))))))))))))) -> 0(0(0(2(0(2(2(2(2(2(2(1(0(2(2(0(2(x1)))))))))))))))))
   0(0(2(1(1(2(1(0(2(2(1(0(0(x1))))))))))))) -> 1(0(0(0(0(0(1(2(2(2(0(2(2(2(2(2(0(x1)))))))))))))))))
   0(0(2(2(0(0(2(2(1(0(2(0(0(x1))))))))))))) -> 2(0(1(0(0(0(0(0(0(0(0(0(1(2(2(0(0(x1)))))))))))))))))
   0(1(0(0(1(1(1(1(2(1(0(1(1(x1))))))))))))) -> 0(1(0(1(1(0(0(0(2(2(0(2(2(2(2(0(0(x1)))))))))))))))))
   0(1(0(1(0(1(1(1(1(0(0(1(2(x1))))))))))))) -> 0(0(2(2(2(2(2(0(2(1(0(0(0(1(2(2(2(x1)))))))))))))))))
   0(1(0(1(1(0(2(0(2(2(1(0(2(x1))))))))))))) -> 0(2(2(0(2(2(2(2(0(2(2(2(2(0(2(2(2(x1)))))))))))))))))
   0(1(0(1(1(1(2(2(2(1(1(0(2(x1))))))))))))) -> 0(0(1(0(0(0(0(2(1(0(0(0(0(0(0(1(0(x1)))))))))))))))))
   0(1(1(0(1(2(2(0(1(1(0(1(0(x1))))))))))))) -> 0(0(0(0(0(0(1(2(2(1(0(0(0(1(2(0(0(x1)))))))))))))))))
   0(1(1(0(2(1(0(0(1(2(1(1(2(x1))))))))))))) -> 1(0(0(1(0(1(2(0(2(2(2(2(2(2(2(2(2(x1)))))))))))))))))
   0(1(1(2(2(2(1(1(2(2(2(2(1(x1))))))))))))) -> 1(2(2(2(2(0(2(2(2(0(2(2(2(2(2(0(2(x1)))))))))))))))))
   0(1(2(0(0(1(0(0(1(2(1(2(1(x1))))))))))))) -> 0(0(1(2(0(2(2(2(2(2(2(2(0(1(0(0(2(x1)))))))))))))))))
   0(1(2(0(1(2(2(2(1(1(2(0(2(x1))))))))))))) -> 0(0(0(0(0(0(0(0(0(1(2(0(2(0(0(2(2(x1)))))))))))))))))
   0(1(2(2(0(2(0(2(1(0(1(1(1(x1))))))))))))) -> 0(0(1(2(2(0(2(0(0(0(0(0(0(0(0(0(1(x1)))))))))))))))))
   0(2(0(1(0(2(2(1(0(0(2(2(0(x1))))))))))))) -> 0(0(0(0(1(2(0(0(0(0(0(0(0(0(1(2(0(x1)))))))))))))))))
   0(2(0(1(1(0(2(2(1(0(2(2(0(x1))))))))))))) -> 2(0(0(0(2(2(2(2(2(2(2(2(1(0(0(0(1(x1)))))))))))))))))
   0(2(0(1(1(1(2(1(0(2(0(1(1(x1))))))))))))) -> 0(2(0(2(2(2(0(1(0(0(1(0(0(0(0(1(0(x1)))))))))))))))))
   0(2(1(0(1(2(0(1(0(0(0(1(1(x1))))))))))))) -> 2(1(2(2(2(2(2(2(2(2(0(2(2(0(2(1(0(x1)))))))))))))))))
   0(2(1(0(2(1(2(2(2(1(0(0(2(x1))))))))))))) -> 0(0(0(0(0(0(0(0(0(0(0(1(0(2(0(1(2(x1)))))))))))))))))
   0(2(1(2(1(2(2(0(2(0(1(1(0(x1))))))))))))) -> 2(0(1(0(0(0(1(2(0(0(0(0(0(0(0(2(0(x1)))))))))))))))))
   1(0(0(0(1(1(1(1(0(1(0(0(1(x1))))))))))))) -> 2(2(0(1(0(0(0(0(0(0(0(0(0(0(1(2(0(x1)))))))))))))))))
   1(0(0(1(0(2(1(2(1(0(1(2(0(x1))))))))))))) -> 0(0(2(0(0(0(0(0(1(0(0(0(0(0(2(2(0(x1)))))))))))))))))
   1(0(0(2(0(0(2(2(1(2(1(1(1(x1))))))))))))) -> 0(1(0(2(1(0(0(0(0(0(0(1(2(0(2(0(0(x1)))))))))))))))))
   1(0(0(2(0(1(2(2(1(0(0(1(2(x1))))))))))))) -> 0(0(0(0(0(0(0(0(0(0(0(0(0(2(0(0(2(x1)))))))))))))))))
   1(0(0(2(1(1(0(1(2(0(0(2(1(x1))))))))))))) -> 1(0(0(2(0(0(0(1(2(2(2(0(2(2(2(0(1(x1)))))))))))))))))
   1(0(0(2(2(0(0(1(1(0(2(1(1(x1))))))))))))) -> 1(2(0(2(2(2(2(2(2(0(2(2(0(2(0(0(1(x1)))))))))))))))))
   1(0(1(2(1(2(0(2(0(1(2(1(0(x1))))))))))))) -> 2(0(0(1(0(0(0(0(0(1(2(2(2(2(1(2(0(x1)))))))))))))))))
   1(0(2(0(1(1(1(0(0(0(1(0(1(x1))))))))))))) -> 1(0(0(0(0(1(0(0(0(0(0(1(2(2(1(2(0(x1)))))))))))))))))
   1(0(2(0(2(0(1(0(1(1(1(1(1(x1))))))))))))) -> 1(1(0(2(2(2(2(2(2(0(2(0(2(1(0(0(1(x1)))))))))))))))))
   1(0(2(1(1(0(0(2(1(0(2(0(1(x1))))))))))))) -> 0(1(0(0(0(0(0(0(0(0(1(1(2(2(1(1(1(x1)))))))))))))))))
   1(0(2(1(2(1(0(1(0(0(2(1(0(x1))))))))))))) -> 2(1(0(0(0(0(0(1(2(2(2(1(0(0(2(0(0(x1)))))))))))))))))
   1(0(2(1(2(1(1(1(0(2(0(1(2(x1))))))))))))) -> 1(1(0(0(0(0(1(0(0(0(0(2(0(0(2(0(2(x1)))))))))))))))))
   1(0(2(1(2(2(0(0(0(1(2(2(0(x1))))))))))))) -> 0(0(2(2(2(2(2(2(2(2(2(2(2(0(1(0(2(x1)))))))))))))))))
   1(1(0(0(1(0(1(1(2(1(0(1(2(x1))))))))))))) -> 1(0(0(0(0(0(0(1(2(2(0(0(1(0(2(0(2(x1)))))))))))))))))
   1(1(0(1(1(0(2(2(1(0(2(0(0(x1))))))))))))) -> 0(1(0(0(0(0(1(2(2(2(2(1(2(0(0(0(1(x1)))))))))))))))))
   1(1(0(2(0(1(0(2(1(0(2(1(2(x1))))))))))))) -> 1(2(2(2(2(2(2(1(1(2(2(2(2(2(2(1(2(x1)))))))))))))))))
   1(1(0(2(0(1(1(0(0(2(2(1(2(x1))))))))))))) -> 0(2(1(0(0(0(0(0(1(2(2(0(0(0(0(0(2(x1)))))))))))))))))
   1(1(1(0(0(0(1(1(0(1(1(0(2(x1))))))))))))) -> 0(0(0(2(2(2(2(2(0(2(2(0(2(2(2(1(2(x1)))))))))))))))))
   1(1(1(0(0(2(0(2(1(0(2(0(2(x1))))))))))))) -> 1(0(2(0(1(2(2(2(2(0(2(2(0(2(2(2(2(x1)))))))))))))))))
   1(1(1(2(2(2(2(1(0(0(2(1(2(x1))))))))))))) -> 0(0(0(0(0(0(1(0(0(0(0(1(2(2(1(1(2(x1)))))))))))))))))
   1(1(2(0(2(0(2(0(1(0(0(2(0(x1))))))))))))) -> 2(0(1(0(0(0(0(1(2(2(2(0(2(2(2(2(1(x1)))))))))))))))))
   1(1(2(1(0(0(0(1(0(2(0(2(2(x1))))))))))))) -> 1(0(2(1(0(0(0(0(0(0(0(1(2(2(2(2(2(x1)))))))))))))))))
   1(1(2(2(0(0(2(0(1(1(1(1(0(x1))))))))))))) -> 2(0(0(0(0(1(2(1(0(1(2(2(2(2(1(0(0(x1)))))))))))))))))
   1(2(0(0(1(1(2(2(1(2(2(0(0(x1))))))))))))) -> 1(0(2(0(2(0(0(0(0(0(0(0(0(0(1(2(2(x1)))))))))))))))))
   1(2(0(0(2(1(0(2(2(2(0(0(1(x1))))))))))))) -> 0(0(0(0(0(1(2(2(2(0(2(0(2(2(1(0(1(x1)))))))))))))))))
   1(2(0(1(0(0(1(1(1(1(0(1(1(x1))))))))))))) -> 0(0(0(0(2(0(1(0(0(0(0(0(1(2(1(1(0(x1)))))))))))))))))
   1(2(0(1(2(1(2(2(1(0(1(0(0(x1))))))))))))) -> 1(0(0(0(1(2(0(2(2(2(2(2(1(0(1(0(0(x1)))))))))))))))))
   1(2(1(1(2(0(0(2(2(1(0(0(1(x1))))))))))))) -> 1(1(0(0(0(0(0(0(1(0(0(1(2(2(2(2(0(x1)))))))))))))))))
   1(2(2(0(0(1(2(0(2(1(0(0(1(x1))))))))))))) -> 0(1(0(2(2(2(2(2(0(2(2(2(2(2(2(2(2(x1)))))))))))))))))
   1(2(2(0(1(2(2(2(0(1(2(1(1(x1))))))))))))) -> 0(0(0(2(2(2(2(2(0(2(2(1(2(0(0(0(1(x1)))))))))))))))))
   2(0(0(0(0(1(1(2(0(0(1(0(2(x1))))))))))))) -> 0(1(0(0(0(1(2(2(2(2(0(2(0(2(2(2(2(x1)))))))))))))))))
   2(0(0(2(1(2(1(0(1(0(1(1(1(x1))))))))))))) -> 1(0(0(0(0(0(0(0(1(1(2(2(2(0(2(0(0(x1)))))))))))))))))
   2(0(1(0(1(0(0(0(2(0(1(2(1(x1))))))))))))) -> 2(0(1(0(0(1(0(0(1(0(0(0(0(0(0(0(0(x1)))))))))))))))))
   2(0(2(0(1(1(0(0(2(1(1(0(2(x1))))))))))))) -> 2(2(0(0(0(1(0(0(0(0(1(0(0(0(1(0(2(x1)))))))))))))))))
   2(0(2(2(0(2(2(0(2(1(2(0(1(x1))))))))))))) -> 2(2(2(2(0(0(0(0(0(0(0(0(0(1(2(2(0(x1)))))))))))))))))
   2(1(0(2(1(2(1(2(1(2(2(2(1(x1))))))))))))) -> 2(1(0(0(0(1(2(0(2(0(0(0(0(0(1(2(1(x1)))))))))))))))))
   2(1(1(2(1(1(2(0(1(0(1(0(2(x1))))))))))))) -> 2(2(0(2(0(0(1(2(0(2(2(2(2(2(2(1(2(x1)))))))))))))))))
   2(1(1(2(2(0(2(0(0(2(0(1(0(x1))))))))))))) -> 2(0(1(0(1(2(2(2(2(2(2(2(0(2(2(0(0(x1)))))))))))))))))
   2(1(2(0(0(2(2(0(2(0(1(2(2(x1))))))))))))) -> 2(0(0(0(0(2(0(0(1(2(2(2(2(2(2(0(2(x1)))))))))))))))))
   2(1(2(0(2(2(2(1(1(0(0(1(2(x1))))))))))))) -> 1(2(2(0(0(2(2(2(2(2(0(2(2(2(2(2(2(x1)))))))))))))))))
   2(1(2(1(0(1(0(0(2(1(2(2(0(x1))))))))))))) -> 2(2(1(1(0(0(0(0(0(0(1(2(1(0(0(0(1(x1)))))))))))))))))
   2(1(2(2(1(2(2(2(2(1(2(1(0(x1))))))))))))) -> 2(0(0(2(0(0(0(0(1(0(0(0(0(0(0(0(0(x1)))))))))))))))))
   2(2(0(0(1(2(1(0(2(2(1(0(0(x1))))))))))))) -> 2(2(2(2(2(2(2(0(2(2(0(2(2(0(2(2(0(x1)))))))))))))))))
   2(2(0(0(2(1(2(1(2(0(1(2(0(x1))))))))))))) -> 2(2(2(2(2(2(0(1(0(0(0(0(1(0(0(2(1(x1)))))))))))))))))
   2(2(0(2(2(0(1(1(2(1(0(1(0(x1))))))))))))) -> 2(2(2(2(2(2(2(2(2(2(1(0(0(2(0(0(1(x1)))))))))))))))))
   2(2(0(2(2(1(2(1(2(2(0(2(0(x1))))))))))))) -> 2(2(2(2(0(2(2(2(0(2(2(0(1(0(0(0(1(x1)))))))))))))))))
   2(2(1(0(2(1(1(2(2(0(1(0(1(x1))))))))))))) -> 2(2(2(2(0(1(0(0(0(1(0(0(0(0(0(1(2(x1)))))))))))))))))
   2(2(1(1(2(1(0(1(1(2(0(0(2(x1))))))))))))) -> 2(2(2(0(0(0(0(1(2(0(0(0(2(2(2(2(2(x1)))))))))))))))))

The set of rules S is 
   2(1(2(2(1(2(0(2(0(0(2(1(0(x1))))))))))))) -> 1(1(2(0(2(2(2(0(2(2(2(2(2(2(1(2(0(x1)))))))))))))))))

We have obtained the following relative TRS:
The set of rules R is 
   0(2(1(1(2(2(1(2(1(0(0(0(0(x1))))))))))))) -> 0(2(1(2(2(2(2(2(2(2(2(2(1(0(0(0(0(x1)))))))))))))))))
   1(2(0(2(1(1(2(0(1(2(0(0(0(x1))))))))))))) -> 2(2(1(2(2(2(2(2(2(2(2(1(0(1(0(0(0(x1)))))))))))))))))
   0(1(1(0(2(2(0(1(2(2(0(0(0(x1))))))))))))) -> 1(1(2(0(0(0(0(0(0(0(0(0(0(0(2(1(0(x1)))))))))))))))))
   1(0(1(2(0(2(0(0(1(0(1(0(0(x1))))))))))))) -> 0(2(2(2(1(0(0(0(0(1(2(1(0(0(0(0(0(x1)))))))))))))))))
   2(1(2(0(2(1(2(0(1(1(1(0(0(x1))))))))))))) -> 1(2(1(2(0(2(2(1(0(0(0(0(0(1(0(0(0(x1)))))))))))))))))
   2(2(0(1(1(2(0(1(1(0(2(0(0(x1))))))))))))) -> 2(0(2(2(0(1(2(2(2(2(2(2(0(2(0(0(0(x1)))))))))))))))))
   0(0(1(2(2(0(1(2(1(1(2(0(0(x1))))))))))))) -> 0(2(2(2(2(2(0(2(2(2(1(0(0(0(0(0(1(x1)))))))))))))))))
   0(0(2(0(1(2(2(0(0(2(2(0(0(x1))))))))))))) -> 0(0(2(2(1(0(0(0(0(0(0(0(0(0(1(0(2(x1)))))))))))))))))
   1(1(0(1(2(1(1(1(1(0(0(1(0(x1))))))))))))) -> 0(0(2(2(2(2(0(2(2(0(0(0(1(1(0(1(0(x1)))))))))))))))))
   2(1(0(0(1(1(1(1(0(1(0(1(0(x1))))))))))))) -> 2(2(2(1(0(0(0(1(2(0(2(2(2(2(2(0(0(x1)))))))))))))))))
   2(0(1(2(2(0(2(0(1(1(0(1(0(x1))))))))))))) -> 2(2(2(0(2(2(2(2(0(2(2(2(2(0(2(2(0(x1)))))))))))))))))
   2(0(1(1(2(2(2(1(1(1(0(1(0(x1))))))))))))) -> 0(1(0(0(0(0(0(0(1(2(0(0(0(0(1(0(0(x1)))))))))))))))))
   0(1(0(1(1(0(2(2(1(0(1(1(0(x1))))))))))))) -> 0(0(2(1(0(0(0(1(2(2(1(0(0(0(0(0(0(x1)))))))))))))))))
   2(1(1(2(1(0(0(1(2(0(1(1(0(x1))))))))))))) -> 2(2(2(2(2(2(2(2(2(0(2(1(0(1(0(0(1(x1)))))))))))))))))
   1(2(2(2(2(1(1(2(2(2(1(1(0(x1))))))))))))) -> 2(0(2(2(2(2(2(0(2(2(2(0(2(2(2(2(1(x1)))))))))))))))))
   1(2(1(2(1(0(0(1(0(0(2(1(0(x1))))))))))))) -> 2(0(0(1(0(2(2(2(2(2(2(2(0(2(1(0(0(x1)))))))))))))))))
   2(0(2(1(1(2(2(2(1(0(2(1(0(x1))))))))))))) -> 2(2(0(0(2(0(2(1(0(0(0(0(0(0(0(0(0(x1)))))))))))))))))
   1(1(1(0(1(2(0(2(0(2(2(1(0(x1))))))))))))) -> 1(0(0(0(0(0(0(0(0(0(2(0(2(2(1(0(0(x1)))))))))))))))))
   0(2(2(0(0(1(2(2(0(1(0(2(0(x1))))))))))))) -> 0(2(1(0(0(0(0(0(0(0(0(2(1(0(0(0(0(x1)))))))))))))))))
   0(2(2(0(1(2(2(0(1(1(0(2(0(x1))))))))))))) -> 1(0(0(0(1(2(2(2(2(2(2(2(2(0(0(0(2(x1)))))))))))))))))
   1(1(0(2(0(1(2(1(1(1(0(2(0(x1))))))))))))) -> 0(1(0(0(0(0(1(0(0(1(0(2(2(2(0(2(0(x1)))))))))))))))))
   1(1(0(0(0(1(0(2(1(0(1(2(0(x1))))))))))))) -> 0(1(2(0(2(2(0(2(2(2(2(2(2(2(2(1(2(x1)))))))))))))))))
   2(0(0(1(2(2(2(1(2(0(1(2(0(x1))))))))))))) -> 2(1(0(2(0(1(0(0(0(0(0(0(0(0(0(0(0(x1)))))))))))))))))
   0(1(1(0(2(0(2(2(1(2(1(2(0(x1))))))))))))) -> 0(2(0(0(0(0(0(0(0(2(1(0(0(0(1(0(2(x1)))))))))))))))))
   1(0(0(1(0(1(1(1(1(0(0(0(1(x1))))))))))))) -> 0(2(1(0(0(0(0(0(0(0(0(0(0(1(0(2(2(x1)))))))))))))))))
   0(2(1(0(1(2(1(2(0(1(0(0(1(x1))))))))))))) -> 0(2(2(0(0(0(0(0(1(0(0(0(0(0(2(0(0(x1)))))))))))))))))
   1(1(1(2(1(2(2(0(0(2(0(0(1(x1))))))))))))) -> 0(0(2(0(2(1(0(0(0(0(0(0(1(2(0(1(0(x1)))))))))))))))))
   2(1(0(0(1(2(2(1(0(2(0(0(1(x1))))))))))))) -> 2(0(0(2(0(0(0(0(0(0(0(0(0(0(0(0(0(x1)))))))))))))))))
   1(2(0(0(2(1(0(1(1(2(0(0(1(x1))))))))))))) -> 1(0(2(2(2(0(2(2(2(1(0(0(0(2(0(0(1(x1)))))))))))))))))
   1(1(2(0(1(1(0(0(2(2(0(0(1(x1))))))))))))) -> 1(0(0(2(0(2(2(0(2(2(2(2(2(2(0(2(1(x1)))))))))))))))))
   0(1(2(1(0(2(0(2(1(2(1(0(1(x1))))))))))))) -> 0(2(1(2(2(2(2(1(0(0(0(0(0(1(0(0(2(x1)))))))))))))))))
   1(0(1(0(0(0(1(1(1(0(2(0(1(x1))))))))))))) -> 0(2(1(2(2(1(0(0(0(0(0(1(0(0(0(0(1(x1)))))))))))))))))
   1(1(1(1(1(0(1(0(2(0(2(0(1(x1))))))))))))) -> 1(0(0(1(2(0(2(0(2(2(2(2(2(2(0(1(1(x1)))))))))))))))))
   1(0(2(0(1(2(0(0(1(1(2(0(1(x1))))))))))))) -> 1(1(1(2(2(1(1(0(0(0(0(0(0(0(0(1(0(x1)))))))))))))))))
   0(1(2(0(0(1(0(1(2(1(2(0(1(x1))))))))))))) -> 0(0(2(0(0(1(2(2(2(1(0(0(0(0(0(1(2(x1)))))))))))))))))
   2(1(0(2(0(1(1(1(2(1(2(0(1(x1))))))))))))) -> 2(0(2(0(0(2(0(0(0(0(1(0(0(0(0(1(1(x1)))))))))))))))))
   0(2(2(1(0(0(0(2(2(1(2(0(1(x1))))))))))))) -> 2(0(1(0(2(2(2(2(2(2(2(2(2(2(2(0(0(x1)))))))))))))))))
   2(1(0(1(2(1(1(0(1(0(0(1(1(x1))))))))))))) -> 2(0(2(0(1(0(0(2(2(1(0(0(0(0(0(0(1(x1)))))))))))))))))
   0(0(2(0(1(2(2(0(1(1(0(1(1(x1))))))))))))) -> 1(0(0(0(2(1(2(2(2(2(1(0(0(0(0(1(0(x1)))))))))))))))))
   2(1(2(0(1(2(0(1(0(2(0(1(1(x1))))))))))))) -> 2(1(2(2(2(2(2(2(1(1(2(2(2(2(2(2(1(x1)))))))))))))))))
   2(1(2(2(0(0(1(1(0(2(0(1(1(x1))))))))))))) -> 2(0(0(0(0(0(2(2(1(0(0(0(0(0(1(2(0(x1)))))))))))))))))
   2(0(1(1(0(1(1(0(0(0(1(1(1(x1))))))))))))) -> 2(1(2(2(2(0(2(2(0(2(2(2(2(2(0(0(0(x1)))))))))))))))))
   2(0(2(0(1(2(0(2(0(0(1(1(1(x1))))))))))))) -> 2(2(2(2(0(2(2(0(2(2(2(2(1(0(2(0(1(x1)))))))))))))))))
   2(1(2(0(0(1(2(2(2(2(1(1(1(x1))))))))))))) -> 2(1(1(2(2(1(0(0(0(0(1(0(0(0(0(0(0(x1)))))))))))))))))
   0(2(0(0(1(0(2(0(2(0(2(1(1(x1))))))))))))) -> 1(2(2(2(2(0(2(2(2(1(0(0(0(0(1(0(2(x1)))))))))))))))))
   2(2(0(2(0(1(0(0(0(1(2(1(1(x1))))))))))))) -> 2(2(2(2(2(1(0(0(0(0(0(0(0(1(2(0(1(x1)))))))))))))))))
   0(1(1(1(1(0(2(0(0(2(2(1(1(x1))))))))))))) -> 0(0(1(2(2(2(2(1(0(1(2(1(0(0(0(0(2(x1)))))))))))))))))
   0(0(2(2(1(2(2(1(1(0(0(2(1(x1))))))))))))) -> 2(2(1(0(0(0(0(0(0(0(0(0(2(0(2(0(1(x1)))))))))))))))))
   1(0(0(2(2(2(0(1(2(0(0(2(1(x1))))))))))))) -> 1(0(1(2(2(0(2(0(2(2(2(1(0(0(0(0(0(x1)))))))))))))))))
   1(1(0(1(1(1(1(0(0(1(0(2(1(x1))))))))))))) -> 0(1(1(2(1(0(0(0(0(0(1(0(2(0(0(0(0(x1)))))))))))))))))
   0(0(1(0(1(2(2(1(2(1(0(2(1(x1))))))))))))) -> 0(0(1(0(1(2(2(2(2(2(0(2(1(0(0(0(1(x1)))))))))))))))))
   1(0(0(1(2(2(0(0(2(1(1(2(1(x1))))))))))))) -> 0(2(2(2(2(1(0(0(1(0(0(0(0(0(0(1(1(x1)))))))))))))))))
   1(0(0(1(2(0(2(1(0(0(2(2(1(x1))))))))))))) -> 2(2(2(2(2(2(2(2(0(2(2(2(2(2(0(1(0(x1)))))))))))))))))
   1(1(2(1(0(2(2(2(1(0(2(2(1(x1))))))))))))) -> 1(0(0(0(2(1(2(2(0(2(2(2(2(2(0(0(0(x1)))))))))))))))))
   2(0(1(0(0(2(1(1(0(0(0(0(2(x1))))))))))))) -> 2(2(2(2(0(2(0(2(2(2(2(1(0(0(0(1(0(x1)))))))))))))))))
   1(1(1(0(1(0(1(2(1(2(0(0(2(x1))))))))))))) -> 0(0(2(0(2(2(2(1(1(0(0(0(0(0(0(0(1(x1)))))))))))))))))
   1(2(1(0(2(0(0(0(1(0(1(0(2(x1))))))))))))) -> 0(0(0(0(0(0(0(0(1(0(0(1(0(0(1(0(2(x1)))))))))))))))))
   2(0(1(1(2(0(0(1(1(0(2(0(2(x1))))))))))))) -> 2(0(1(0(0(0(1(0(0(0(0(1(0(0(0(2(2(x1)))))))))))))))))
   1(0(2(1(2(0(2(2(0(2(2(0(2(x1))))))))))))) -> 0(2(2(1(0(0(0(0(0(0(0(0(0(2(2(2(2(x1)))))))))))))))))
   1(2(2(2(1(2(1(2(1(2(0(1(2(x1))))))))))))) -> 1(2(1(0(0(0(0(0(2(0(2(1(0(0(0(1(2(x1)))))))))))))))))
   2(0(1(0(1(0(2(1(1(2(1(1(2(x1))))))))))))) -> 2(1(2(2(2(2(2(2(0(2(1(0(0(2(0(2(2(x1)))))))))))))))))
   0(1(0(2(0(0(2(0(2(2(1(1(2(x1))))))))))))) -> 0(0(2(2(0(2(2(2(2(2(2(2(1(0(1(0(2(x1)))))))))))))))))
   2(2(1(0(2(0(2(2(0(0(2(1(2(x1))))))))))))) -> 2(0(2(2(2(2(2(2(1(0(0(2(0(0(0(0(2(x1)))))))))))))))))
   2(1(0(0(1(1(2(2(2(0(2(1(2(x1))))))))))))) -> 2(2(2(2(2(2(0(2(2(2(2(2(0(0(2(2(1(x1)))))))))))))))))
   0(2(2(1(2(0(0(1(0(1(2(1(2(x1))))))))))))) -> 1(0(0(0(1(2(1(0(0(0(0(0(0(1(1(2(2(x1)))))))))))))))))
   0(1(2(1(2(2(2(2(1(2(2(1(2(x1))))))))))))) -> 0(0(0(0(0(0(0(0(1(0(0(0(0(2(0(0(2(x1)))))))))))))))))
   0(0(1(2(2(0(1(2(1(0(0(2(2(x1))))))))))))) -> 0(2(2(0(2(2(0(2(2(0(2(2(2(2(2(2(2(x1)))))))))))))))))
   0(2(1(0(2(1(2(1(2(0(0(2(2(x1))))))))))))) -> 1(2(0(0(1(0(0(0(0(1(0(2(2(2(2(2(2(x1)))))))))))))))))
   0(1(0(1(2(1(1(0(2(2(0(2(2(x1))))))))))))) -> 1(0(0(2(0(0(1(2(2(2(2(2(2(2(2(2(2(x1)))))))))))))))))
   0(2(0(2(2(1(2(1(2(2(0(2(2(x1))))))))))))) -> 1(0(0(0(1(0(2(2(0(2(2(2(0(2(2(2(2(x1)))))))))))))))))
   1(0(1(0(2(2(1(1(2(0(1(2(2(x1))))))))))))) -> 2(1(0(0(0(0(0(1(0(0(0(1(0(2(2(2(2(x1)))))))))))))))))
   2(0(0(2(1(1(0(1(2(1(1(2(2(x1))))))))))))) -> 2(2(2(2(2(0(0(0(2(1(0(0(0(0(2(2(2(x1)))))))))))))))))

The set of rules S is 
   0(1(2(0(0(2(0(2(1(2(2(1(2(x1))))))))))))) -> 0(2(1(2(2(2(2(2(2(0(2(2(2(0(2(1(1(x1)))))))))))))))))


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

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

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

The relative TRS consists of the following S rules:

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


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

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

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

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

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

The relative TRS consists of the following S rules:

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


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

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


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

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

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

The relative TRS consists of the following S rules:

   0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1))))))))))))) -> 0_{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_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1)))))))))))))))))
   0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1))))))))))))) -> 0_{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_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1)))))))))))))))))
   0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1))))))))))))) -> 0_{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_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_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(1_{0_1}(x_1)) = x_1
   POL(1_{1_1}(x_1)) = 1 + x_1
   POL(1_{2_1}(x_1)) = 1 + x_1
   POL(2_{0_1}(x_1)) = x_1
   POL(2_{1_1}(x_1)) = 1 + x_1
   POL(2_{2_1}(x_1)) = x_1
With this ordering the following rules can be removed [MATRO] because they are oriented strictly:
Rules from R:

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

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




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

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

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

The relative TRS consists of the following S rules:

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


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

   POL(0_{0_1}(x_1)) = x_1
   POL(0_{1_1}(x_1)) = 1 + x_1
   POL(0_{2_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)) = 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
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_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))))))))))))
   0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))))))))))))
   1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(x1))))))))))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))))))))
   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1))))))))))))) -> 2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x1)))))))))))))))))
   0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))))))))))))))))
   0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))))))))))))))))
   0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))))))))))))))))
   2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))))) -> 2_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))))))))))))))))
   2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))))) -> 2_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))))))))))))))))
   2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))))) -> 2_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))))))))))))))))
   1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))))) -> 1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))))))))))))))))
   1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))))) -> 1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))))))))))))))))
   1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))))) -> 1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))))))))))))))))
Rules from S:

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




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

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

S is empty.

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

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

Q is empty.

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

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

The certificate found is represented by the following graph.
The certificate consists of the following enumerated nodes:
3075, 3076, 3082, 3083, 3084, 3085, 3086, 3087, 3088, 3089, 3090, 3091, 3092, 3093, 3094, 3095, 3096, 3097

Node 3075 is start node and node 3076 is final node.

Those nodes are connected through the following edges:

* 3075 to 3082 labelled 1_{0_1}_1(0)* 3076 to 3076 labelled #_1(0)* 3082 to 3083 labelled 0_{1_1}_1(0)* 3083 to 3084 labelled 1_{2_1}_1(0)* 3084 to 3085 labelled 2_{2_1}_1(0)* 3085 to 3086 labelled 2_{0_1}_1(0)* 3086 to 3087 labelled 0_{2_1}_1(0)* 3087 to 3088 labelled 2_{0_1}_1(0)* 3088 to 3089 labelled 0_{2_1}_1(0)* 3089 to 3090 labelled 2_{2_1}_1(0)* 3090 to 3091 labelled 2_{2_1}_1(0)* 3091 to 3092 labelled 2_{1_1}_1(0)* 3092 to 3093 labelled 1_{0_1}_1(0)* 3093 to 3094 labelled 0_{0_1}_1(0)* 3094 to 3095 labelled 0_{0_1}_1(0)* 3095 to 3096 labelled 0_{0_1}_1(0)* 3096 to 3097 labelled 0_{0_1}_1(0)* 3097 to 3076 labelled 0_{0_1}_1(0), 0_{1_1}_1(0)


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(14)
YES