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


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


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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


Termination of the given RelTRS could be proven:

(0) RelTRS
(1) RelTRS Reverse [EQUIVALENT, 0 ms]
(2) RelTRS
(3) FlatCCProof [EQUIVALENT, 324 ms]
(4) RelTRS
(5) RootLabelingProof [EQUIVALENT, 4102 ms]
(6) RelTRS
(7) RelTRSRRRProof [EQUIVALENT, 2762 ms]
(8) RelTRS
(9) RelTRSRRRProof [EQUIVALENT, 505 ms]
(10) RelTRS
(11) RelTRSRRRProof [EQUIVALENT, 91 ms]
(12) RelTRS
(13) RelTRSRRRProof [EQUIVALENT, 65 ms]
(14) RelTRS
(15) RelTRSRRRProof [EQUIVALENT, 23 ms]
(16) RelTRS
(17) SIsEmptyProof [EQUIVALENT, 0 ms]
(18) QTRS
(19) RFCMatchBoundsTRSProof [EQUIVALENT, 23 ms]
(20) YES


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

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

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

The relative TRS consists of the following S rules:

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


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

(1) RelTRS Reverse (EQUIVALENT)
We have reversed the following relative TRS [REVERSE]:
The set of rules R is 
   3(0(1(5(x1)))) -> 0(0(5(2(3(2(2(4(3(5(x1))))))))))
   3(4(0(1(x1)))) -> 2(4(2(2(5(4(2(5(2(3(x1))))))))))
   0(3(3(1(1(x1))))) -> 0(0(0(3(4(5(4(3(5(1(x1))))))))))
   1(5(5(5(4(x1))))) -> 1(0(4(5(3(2(5(0(0(4(x1))))))))))
   3(0(3(1(5(x1))))) -> 0(4(5(3(1(5(3(5(3(5(x1))))))))))
   3(4(1(5(5(x1))))) -> 3(5(1(0(2(4(5(2(5(2(x1))))))))))
   3(5(0(3(3(x1))))) -> 3(5(4(2(5(2(4(5(2(3(x1))))))))))
   5(4(0(2(1(x1))))) -> 0(2(4(3(5(1(2(5(2(5(x1))))))))))
   0(0(3(0(1(1(x1)))))) -> 2(0(4(5(2(2(0(3(1(1(x1))))))))))
   0(4(4(0(1(4(x1)))))) -> 4(3(3(5(5(5(2(4(2(3(x1))))))))))
   1(0(1(2(3(1(x1)))))) -> 1(4(4(5(2(2(0(2(3(5(x1))))))))))
   1(0(4(4(0(1(x1)))))) -> 1(0(0(0(4(5(1(2(0(3(x1))))))))))
   1(5(2(4(1(5(x1)))))) -> 1(3(3(2(5(4(3(5(1(4(x1))))))))))
   2(4(4(0(1(0(x1)))))) -> 3(4(2(0(4(3(5(5(5(0(x1))))))))))
   3(0(3(2(0(1(x1)))))) -> 0(2(0(0(2(3(2(3(5(5(x1))))))))))
   3(3(3(0(1(0(x1)))))) -> 3(2(3(2(0(0(3(3(5(0(x1))))))))))
   4(0(4(1(1(1(x1)))))) -> 4(4(5(4(5(5(4(1(2(2(x1))))))))))
   4(3(0(2(1(5(x1)))))) -> 5(4(1(2(1(1(2(3(5(5(x1))))))))))
   4(5(1(0(5(5(x1)))))) -> 4(4(2(3(5(1(0(4(5(5(x1))))))))))
   5(5(1(5(3(0(x1)))))) -> 5(2(3(2(4(4(3(2(2(0(x1))))))))))
   0(1(0(2(0(5(5(x1))))))) -> 2(0(4(5(1(0(4(2(5(4(x1))))))))))
   0(1(1(0(1(0(5(x1))))))) -> 0(4(2(2(1(2(4(5(1(1(x1))))))))))
   1(3(1(0(2(5(3(x1))))))) -> 1(2(5(2(2(3(5(1(2(4(x1))))))))))
   1(4(0(5(0(1(3(x1))))))) -> 1(1(0(2(4(5(2(1(1(3(x1))))))))))
   1(4(3(1(5(0(5(x1))))))) -> 5(1(2(3(5(0(2(4(5(2(x1))))))))))
   1(5(1(3(3(3(0(x1))))))) -> 4(0(4(5(2(3(5(5(2(0(x1))))))))))
   1(5(1(4(4(4(4(x1))))))) -> 1(1(4(0(4(4(5(2(3(4(x1))))))))))
   1(5(3(0(1(4(4(x1))))))) -> 5(5(0(0(3(3(3(5(4(4(x1))))))))))
   2(0(1(5(1(0(5(x1))))))) -> 2(3(5(3(1(4(1(0(4(1(x1))))))))))
   2(1(3(0(3(1(4(x1))))))) -> 3(3(5(0(0(0(0(2(4(3(x1))))))))))
   2(2(5(4(1(4(4(x1))))))) -> 2(3(5(2(0(2(2(2(5(4(x1))))))))))
   2(5(5(4(5(0(5(x1))))))) -> 5(5(3(4(2(5(2(2(3(5(x1))))))))))
   3(0(1(1(1(5(4(x1))))))) -> 3(0(3(0(0(3(2(5(4(2(x1))))))))))
   3(0(1(3(0(2(1(x1))))))) -> 3(5(4(2(2(2(0(4(3(2(x1))))))))))
   3(0(1(5(3(4(1(x1))))))) -> 3(1(2(3(3(2(4(2(3(1(x1))))))))))
   3(0(4(1(0(1(5(x1))))))) -> 4(5(1(3(3(4(2(2(2(2(x1))))))))))
   3(4(1(5(5(5(4(x1))))))) -> 3(0(4(0(4(3(5(4(3(3(x1))))))))))
   3(4(4(0(5(1(0(x1))))))) -> 2(2(0(5(3(3(5(3(1(0(x1))))))))))
   4(0(1(5(0(5(5(x1))))))) -> 2(4(0(4(5(1(1(3(5(4(x1))))))))))
   4(0(3(1(4(0(3(x1))))))) -> 5(0(2(0(0(4(3(1(0(2(x1))))))))))
   4(1(0(3(5(1(5(x1))))))) -> 2(2(1(5(0(4(5(2(2(2(x1))))))))))
   4(1(0(5(1(3(3(x1))))))) -> 4(1(1(2(2(3(2(3(3(2(x1))))))))))
   4(1(5(4(0(2(5(x1))))))) -> 4(1(3(3(4(1(1(1(1(1(x1))))))))))
   4(1(5(5(4(4(0(x1))))))) -> 4(5(0(2(2(3(4(4(2(0(x1))))))))))
   4(3(0(1(4(0(1(x1))))))) -> 1(4(2(3(3(5(0(4(1(3(x1))))))))))
   4(3(0(2(1(2(1(x1))))))) -> 4(2(4(5(3(0(4(3(3(1(x1))))))))))
   4(4(0(1(1(0(1(x1))))))) -> 0(0(3(1(4(3(3(5(5(5(x1))))))))))
   4(4(1(2(4(4(1(x1))))))) -> 4(4(0(0(5(1(3(2(1(2(x1))))))))))
   5(4(1(5(0(1(4(x1))))))) -> 5(4(4(2(2(5(1(0(0(4(x1))))))))))
   5(5(5(1(2(4(0(x1))))))) -> 5(2(3(4(2(4(5(3(3(0(x1))))))))))

The set of rules S is 
   0(1(x1)) -> 2(2(2(2(2(2(3(0(4(5(x1))))))))))
   1(1(5(x1))) -> 1(4(2(2(5(5(3(4(3(5(x1))))))))))
   3(0(1(x1))) -> 4(5(0(3(0(2(0(4(3(5(x1))))))))))
   3(1(0(3(4(x1))))) -> 3(1(3(3(2(2(2(5(2(4(x1))))))))))
   3(5(3(5(4(x1))))) -> 2(2(3(2(5(2(2(3(5(4(x1))))))))))
   4(1(5(1(5(x1))))) -> 2(4(2(3(3(3(3(1(5(2(x1))))))))))
   5(4(0(0(4(x1))))) -> 5(3(4(5(4(3(2(5(5(4(x1))))))))))
   2(1(1(4(2(0(x1)))))) -> 2(1(4(5(4(2(3(3(5(0(x1))))))))))
   1(5(4(4(1(0(1(x1))))))) -> 5(4(5(0(5(3(2(5(0(1(x1))))))))))
   5(3(1(5(5(1(5(x1))))))) -> 5(4(5(5(0(3(0(0(3(5(x1))))))))))

We have obtained the following relative TRS:
The set of rules R is 
   5(1(0(3(x1)))) -> 5(3(4(2(2(3(2(5(0(0(x1))))))))))
   1(0(4(3(x1)))) -> 3(2(5(2(4(5(2(2(4(2(x1))))))))))
   1(1(3(3(0(x1))))) -> 1(5(3(4(5(4(3(0(0(0(x1))))))))))
   4(5(5(5(1(x1))))) -> 4(0(0(5(2(3(5(4(0(1(x1))))))))))
   5(1(3(0(3(x1))))) -> 5(3(5(3(5(1(3(5(4(0(x1))))))))))
   5(5(1(4(3(x1))))) -> 2(5(2(5(4(2(0(1(5(3(x1))))))))))
   3(3(0(5(3(x1))))) -> 3(2(5(4(2(5(2(4(5(3(x1))))))))))
   1(2(0(4(5(x1))))) -> 5(2(5(2(1(5(3(4(2(0(x1))))))))))
   1(1(0(3(0(0(x1)))))) -> 1(1(3(0(2(2(5(4(0(2(x1))))))))))
   4(1(0(4(4(0(x1)))))) -> 3(2(4(2(5(5(5(3(3(4(x1))))))))))
   1(3(2(1(0(1(x1)))))) -> 5(3(2(0(2(2(5(4(4(1(x1))))))))))
   1(0(4(4(0(1(x1)))))) -> 3(0(2(1(5(4(0(0(0(1(x1))))))))))
   5(1(4(2(5(1(x1)))))) -> 4(1(5(3(4(5(2(3(3(1(x1))))))))))
   0(1(0(4(4(2(x1)))))) -> 0(5(5(5(3(4(0(2(4(3(x1))))))))))
   1(0(2(3(0(3(x1)))))) -> 5(5(3(2(3(2(0(0(2(0(x1))))))))))
   0(1(0(3(3(3(x1)))))) -> 0(5(3(3(0(0(2(3(2(3(x1))))))))))
   1(1(1(4(0(4(x1)))))) -> 2(2(1(4(5(5(4(5(4(4(x1))))))))))
   5(1(2(0(3(4(x1)))))) -> 5(5(3(2(1(1(2(1(4(5(x1))))))))))
   5(5(0(1(5(4(x1)))))) -> 5(5(4(0(1(5(3(2(4(4(x1))))))))))
   0(3(5(1(5(5(x1)))))) -> 0(2(2(3(4(4(2(3(2(5(x1))))))))))
   5(5(0(2(0(1(0(x1))))))) -> 4(5(2(4(0(1(5(4(0(2(x1))))))))))
   5(0(1(0(1(1(0(x1))))))) -> 1(1(5(4(2(1(2(2(4(0(x1))))))))))
   3(5(2(0(1(3(1(x1))))))) -> 4(2(1(5(3(2(2(5(2(1(x1))))))))))
   3(1(0(5(0(4(1(x1))))))) -> 3(1(1(2(5(4(2(0(1(1(x1))))))))))
   5(0(5(1(3(4(1(x1))))))) -> 2(5(4(2(0(5(3(2(1(5(x1))))))))))
   0(3(3(3(1(5(1(x1))))))) -> 0(2(5(5(3(2(5(4(0(4(x1))))))))))
   4(4(4(4(1(5(1(x1))))))) -> 4(3(2(5(4(4(0(4(1(1(x1))))))))))
   4(4(1(0(3(5(1(x1))))))) -> 4(4(5(3(3(3(0(0(5(5(x1))))))))))
   5(0(1(5(1(0(2(x1))))))) -> 1(4(0(1(4(1(3(5(3(2(x1))))))))))
   4(1(3(0(3(1(2(x1))))))) -> 3(4(2(0(0(0(0(5(3(3(x1))))))))))
   4(4(1(4(5(2(2(x1))))))) -> 4(5(2(2(2(0(2(5(3(2(x1))))))))))
   5(0(5(4(5(5(2(x1))))))) -> 5(3(2(2(5(2(4(3(5(5(x1))))))))))
   4(5(1(1(1(0(3(x1))))))) -> 2(4(5(2(3(0(0(3(0(3(x1))))))))))
   1(2(0(3(1(0(3(x1))))))) -> 2(3(4(0(2(2(2(4(5(3(x1))))))))))
   1(4(3(5(1(0(3(x1))))))) -> 1(3(2(4(2(3(3(2(1(3(x1))))))))))
   5(1(0(1(4(0(3(x1))))))) -> 2(2(2(2(4(3(3(1(5(4(x1))))))))))
   4(5(5(5(1(4(3(x1))))))) -> 3(3(4(5(3(4(0(4(0(3(x1))))))))))
   0(1(5(0(4(4(3(x1))))))) -> 0(1(3(5(3(3(5(0(2(2(x1))))))))))
   5(5(0(5(1(0(4(x1))))))) -> 4(5(3(1(1(5(4(0(4(2(x1))))))))))
   3(0(4(1(3(0(4(x1))))))) -> 2(0(1(3(4(0(0(2(0(5(x1))))))))))
   5(1(5(3(0(1(4(x1))))))) -> 2(2(2(5(4(0(5(1(2(2(x1))))))))))
   3(3(1(5(0(1(4(x1))))))) -> 2(3(3(2(3(2(2(1(1(4(x1))))))))))
   5(2(0(4(5(1(4(x1))))))) -> 1(1(1(1(1(4(3(3(1(4(x1))))))))))
   0(4(4(5(5(1(4(x1))))))) -> 0(2(4(4(3(2(2(0(5(4(x1))))))))))
   1(0(4(1(0(3(4(x1))))))) -> 3(1(4(0(5(3(3(2(4(1(x1))))))))))
   1(2(1(2(0(3(4(x1))))))) -> 1(3(3(4(0(3(5(4(2(4(x1))))))))))
   1(0(1(1(0(4(4(x1))))))) -> 5(5(5(3(3(4(1(3(0(0(x1))))))))))
   1(4(4(2(1(4(4(x1))))))) -> 2(1(2(3(1(5(0(0(4(4(x1))))))))))
   4(1(0(5(1(4(5(x1))))))) -> 4(0(0(1(5(2(2(4(4(5(x1))))))))))
   0(4(2(1(5(5(5(x1))))))) -> 0(3(3(5(4(2(4(3(2(5(x1))))))))))

The set of rules S is 
   1(0(x1)) -> 5(4(0(3(2(2(2(2(2(2(x1))))))))))
   5(1(1(x1))) -> 5(3(4(3(5(5(2(2(4(1(x1))))))))))
   1(0(3(x1))) -> 5(3(4(0(2(0(3(0(5(4(x1))))))))))
   4(3(0(1(3(x1))))) -> 4(2(5(2(2(2(3(3(1(3(x1))))))))))
   4(5(3(5(3(x1))))) -> 4(5(3(2(2(5(2(3(2(2(x1))))))))))
   5(1(5(1(4(x1))))) -> 2(5(1(3(3(3(3(2(4(2(x1))))))))))
   4(0(0(4(5(x1))))) -> 4(5(5(2(3(4(5(4(3(5(x1))))))))))
   0(2(4(1(1(2(x1)))))) -> 0(5(3(3(2(4(5(4(1(2(x1))))))))))
   1(0(1(4(4(5(1(x1))))))) -> 1(0(5(2(3(5(0(5(4(5(x1))))))))))
   5(1(5(5(1(3(5(x1))))))) -> 5(3(0(0(3(0(5(5(4(5(x1))))))))))


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

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

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

The relative TRS consists of the following S rules:

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

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

The relative TRS consists of the following S rules:

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

   5_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 5_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))
   5_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 5_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))
   5_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 5_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))
   5_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 5_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))
   5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 5_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))
   5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 5_{3_1}(3_{4_1}(4_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))
   1_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))
   1_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))
   1_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))
   1_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))
   1_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))
   1_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))
   4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(x1))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(x1))))))))))
   4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{1_1}(x1))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(x1))))))))))
   4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{0_1}(x1))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(x1))))))))))
   4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(x1))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(x1))))))))))
   4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(x1))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(x1))))))))))
   4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(x1))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(x1))))))))))
   5_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 5_{3_1}(3_{5_1}(5_{3_1}(3_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(x1))))))))))
   5_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 5_{3_1}(3_{5_1}(5_{3_1}(3_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(x1))))))))))
   5_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 5_{3_1}(3_{5_1}(5_{3_1}(3_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(x1))))))))))
   5_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 5_{3_1}(3_{5_1}(5_{3_1}(3_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(x1))))))))))
   5_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 5_{3_1}(3_{5_1}(5_{3_1}(3_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(x1))))))))))
   5_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 5_{3_1}(3_{5_1}(5_{3_1}(3_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(x1))))))))))
   3_{3_1}(3_{0_1}(0_{5_1}(5_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(x1))))))))))
   3_{3_1}(3_{0_1}(0_{5_1}(5_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(x1))))))))))
   3_{3_1}(3_{0_1}(0_{5_1}(5_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{0_1}(x1))))))))))
   3_{3_1}(3_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(x1))))))))))
   3_{3_1}(3_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(x1))))))))))
   3_{3_1}(3_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(x1))))))))))
   1_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{5_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{5_1}(x1))))))))))
   1_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{1_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(x1))))))))))
   1_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(x1))))))))))
   1_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(x1))))))))))
   1_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{4_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(x1))))))))))
   1_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(x1))))))))))
   0_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(x1)))))) -> 0_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))
   0_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(x1)))))) -> 0_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))
   0_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(x1)))))) -> 0_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))
   0_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(x1)))))) -> 0_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))
   0_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{2_1}(2_{4_1}(x1)))))) -> 0_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))
   0_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(x1)))))) -> 0_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))
   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(x1)))))) -> 0_{5_1}(5_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1))))))))))
   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{3_1}(3_{1_1}(x1)))))) -> 0_{5_1}(5_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1))))))))))
   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(x1)))))) -> 0_{5_1}(5_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1))))))))))
   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(x1)))))) -> 0_{5_1}(5_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1))))))))))
   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{3_1}(3_{4_1}(x1)))))) -> 0_{5_1}(5_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1))))))))))
   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(x1)))))) -> 0_{5_1}(5_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1))))))))))
   5_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))) -> 5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(x1))))))))))
   5_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))) -> 5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(x1))))))))))
   5_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))) -> 5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{0_1}(x1))))))))))
   5_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))) -> 5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(x1))))))))))
   5_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))) -> 5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{4_1}(x1))))))))))
   5_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))) -> 5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{2_1}(x1))))))))))
   5_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{5_1}(x1)))))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))
   5_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(x1)))))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))
   5_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(x1)))))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))
   5_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(x1)))))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))
   5_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{4_1}(x1)))))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))
   5_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(x1)))))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))
   0_{3_1}(3_{5_1}(5_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(x1)))))) -> 0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(x1))))))))))
   0_{3_1}(3_{5_1}(5_{1_1}(1_{5_1}(5_{5_1}(5_{1_1}(x1)))))) -> 0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{1_1}(x1))))))))))
   0_{3_1}(3_{5_1}(5_{1_1}(1_{5_1}(5_{5_1}(5_{0_1}(x1)))))) -> 0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(x1))))))))))
   0_{3_1}(3_{5_1}(5_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(x1)))))) -> 0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(x1))))))))))
   0_{3_1}(3_{5_1}(5_{1_1}(1_{5_1}(5_{5_1}(5_{4_1}(x1)))))) -> 0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{4_1}(x1))))))))))
   0_{3_1}(3_{5_1}(5_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(x1)))))) -> 0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(x1))))))))))
   3_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(x1))))))) -> 3_{1_1}(1_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(x1))))))))))
   3_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(x1))))))) -> 3_{1_1}(1_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x1))))))))))
   3_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(x1))))))) -> 3_{1_1}(1_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x1))))))))))
   3_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(x1))))))) -> 3_{1_1}(1_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{3_1}(x1))))))))))
   3_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{4_1}(x1))))))) -> 3_{1_1}(1_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(x1))))))))))
   3_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{2_1}(x1))))))) -> 3_{1_1}(1_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x1))))))))))
   0_{3_1}(3_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{5_1}(x1))))))))))
   0_{3_1}(3_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{1_1}(1_{1_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{1_1}(x1))))))))))
   0_{3_1}(3_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(x1))))))))))
   0_{3_1}(3_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{1_1}(1_{3_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{3_1}(x1))))))))))
   0_{3_1}(3_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{4_1}(x1))))))))))
   0_{3_1}(3_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{1_1}(1_{2_1}(x1))))))) -> 0_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(x1))))))))))
   4_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(x1))))))) -> 4_{3_1}(3_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{5_1}(x1))))))))))
   4_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{1_1}(x1))))))) -> 4_{3_1}(3_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{1_1}(x1))))))))))
   4_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(x1))))))) -> 4_{3_1}(3_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(x1))))))))))
   4_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{3_1}(x1))))))) -> 4_{3_1}(3_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{3_1}(x1))))))))))
   4_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(x1))))))) -> 4_{3_1}(3_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(x1))))))))))
   4_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{2_1}(x1))))))) -> 4_{3_1}(3_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(x1))))))))))
   4_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{5_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(0_{5_1}(5_{5_1}(5_{5_1}(x1))))))))))
   4_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(x1))))))))))
   4_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{0_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(0_{5_1}(5_{5_1}(5_{0_1}(x1))))))))))
   4_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{3_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(x1))))))))))
   4_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{4_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(0_{5_1}(5_{5_1}(5_{4_1}(x1))))))))))
   4_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(0_{5_1}(5_{5_1}(5_{2_1}(x1))))))))))
   4_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{5_1}(x1))))))) -> 4_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(x1))))))))))
   4_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(x1))))))) -> 4_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(x1))))))))))
   4_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(x1))))))) -> 4_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(x1))))))))))
   4_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{3_1}(x1))))))) -> 4_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(x1))))))))))
   4_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(x1))))))) -> 4_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(x1))))))))))
   4_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(x1))))))) -> 4_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(x1))))))))))
   5_{0_1}(0_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{2_1}(2_{5_1}(x1))))))) -> 5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(5_{5_1}(5_{5_1}(x1))))))))))
   5_{0_1}(0_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{2_1}(2_{1_1}(x1))))))) -> 5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(5_{5_1}(5_{1_1}(x1))))))))))
   5_{0_1}(0_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{2_1}(2_{0_1}(x1))))))) -> 5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(x1))))))))))
   5_{0_1}(0_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{2_1}(2_{3_1}(x1))))))) -> 5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(5_{5_1}(5_{3_1}(x1))))))))))
   5_{0_1}(0_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{2_1}(2_{4_1}(x1))))))) -> 5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(5_{5_1}(5_{4_1}(x1))))))))))
   5_{0_1}(0_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{2_1}(2_{2_1}(x1))))))) -> 5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(5_{5_1}(5_{2_1}(x1))))))))))
   1_{4_1}(4_{3_1}(3_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))))) -> 1_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(x1))))))))))
   1_{4_1}(4_{3_1}(3_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))))) -> 1_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(x1))))))))))
   1_{4_1}(4_{3_1}(3_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))))) -> 1_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(x1))))))))))
   1_{4_1}(4_{3_1}(3_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))))) -> 1_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(x1))))))))))
   1_{4_1}(4_{3_1}(3_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))))) -> 1_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(x1))))))))))
   1_{4_1}(4_{3_1}(3_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))))) -> 1_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(x1))))))))))
   0_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(x1))))))) -> 0_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(x1))))))))))
   0_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(x1))))))) -> 0_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(x1))))))))))
   0_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{0_1}(x1))))))) -> 0_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(x1))))))))))
   0_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{3_1}(x1))))))) -> 0_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(x1))))))))))
   0_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(x1))))))) -> 0_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(x1))))))))))
   0_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(x1))))))) -> 0_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(x1))))))))))
   0_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{5_1}(x1))))))) -> 0_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))
   0_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(x1))))))) -> 0_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))
   0_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{0_1}(x1))))))) -> 0_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))
   0_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(x1))))))) -> 0_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))
   0_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{4_1}(x1))))))) -> 0_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))
   0_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(x1))))))) -> 0_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))
   1_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(x1))))))))))
   1_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(x1))))))))))
   1_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{0_1}(x1))))))))))
   1_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{3_1}(x1))))))))))
   1_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{4_1}(x1))))))))))
   1_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{2_1}(x1))))))))))
   4_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(x1))))))))))
   4_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(x1))))))))))
   4_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(1_{4_1}(4_{5_1}(5_{0_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(x1))))))))))
   4_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(x1))))))))))
   4_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(1_{4_1}(4_{5_1}(5_{4_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(5_{4_1}(x1))))))))))
   4_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(1_{4_1}(4_{5_1}(5_{2_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(x1))))))))))
   0_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{5_1}(x1))))))) -> 0_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(x1))))))))))
   0_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(x1))))))) -> 0_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{5_1}(5_{1_1}(x1))))))))))
   0_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{0_1}(x1))))))) -> 0_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(x1))))))))))
   0_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(x1))))))) -> 0_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(x1))))))))))
   0_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{4_1}(x1))))))) -> 0_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{5_1}(5_{4_1}(x1))))))))))
   0_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{2_1}(x1))))))) -> 0_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(x1))))))))))
   5_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(x1)))))))))))
   5_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(x1)))))))))))
   5_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(x1)))))))))))
   5_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{3_1}(x1)))))))))))
   5_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(x1)))))))))))
   5_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(x1)))))))))))
   1_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(x1)))))))))))
   1_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(x1)))))))))))
   1_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(x1)))))))))))
   1_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{3_1}(x1)))))))))))
   1_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(x1)))))))))))
   1_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(x1)))))))))))
   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(x1)))))))))))
   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(x1)))))))))))
   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(x1)))))))))))
   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{3_1}(x1)))))))))))
   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(x1)))))))))))
   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(x1)))))))))))
   3_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(x1)))))))))))
   3_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(x1)))))))))))
   3_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(x1)))))))))))
   3_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{3_1}(x1)))))))))))
   3_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(x1)))))))))))
   3_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(x1)))))))))))
   4_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(x1)))))))))))
   4_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(x1)))))))))))
   4_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(x1)))))))))))
   4_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{3_1}(x1)))))))))))
   4_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(x1)))))))))))
   4_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(x1)))))))))))
   2_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(x1)))))))))))
   2_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{1_1}(x1)))))))))))
   2_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(x1)))))))))))
   2_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{3_1}(x1)))))))))))
   2_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{4_1}(x1)))))))))))
   2_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{2_1}(2_{2_1}(x1)))))))))))
   5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   1_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 1_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   1_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 1_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   1_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 1_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   1_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 1_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   1_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 1_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   1_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 1_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   0_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 0_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   0_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 0_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   0_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 0_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   0_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 0_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   0_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 0_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   0_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 0_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   3_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   3_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   3_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   3_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   3_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   3_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   4_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   4_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   4_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   4_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   4_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   4_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   2_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 2_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   2_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 2_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   2_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 2_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   2_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 2_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   2_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 2_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   2_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 2_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   5_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{5_1}(x1)))))) -> 5_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   5_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(x1)))))) -> 5_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   5_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{0_1}(x1)))))) -> 5_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   5_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{3_1}(x1)))))) -> 5_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   5_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(x1)))))) -> 5_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   5_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{2_1}(x1)))))) -> 5_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   1_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{5_1}(x1)))))) -> 1_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   1_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(x1)))))) -> 1_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   1_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{0_1}(x1)))))) -> 1_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   1_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{3_1}(x1)))))) -> 1_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   1_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(x1)))))) -> 1_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   1_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{2_1}(x1)))))) -> 1_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{5_1}(x1)))))) -> 0_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(x1)))))) -> 0_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{0_1}(x1)))))) -> 0_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{3_1}(x1)))))) -> 0_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(x1)))))) -> 0_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{2_1}(x1)))))) -> 0_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   3_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{5_1}(x1)))))) -> 3_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   3_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(x1)))))) -> 3_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   3_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{0_1}(x1)))))) -> 3_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   3_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{3_1}(x1)))))) -> 3_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   3_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(x1)))))) -> 3_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   3_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{2_1}(x1)))))) -> 3_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{5_1}(x1)))))) -> 4_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(x1)))))) -> 4_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{0_1}(x1)))))) -> 4_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{3_1}(x1)))))) -> 4_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(x1)))))) -> 4_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{2_1}(x1)))))) -> 4_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   2_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{5_1}(x1)))))) -> 2_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   2_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(x1)))))) -> 2_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   2_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{0_1}(x1)))))) -> 2_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   2_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{3_1}(x1)))))) -> 2_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   2_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(x1)))))) -> 2_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   2_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{2_1}(x1)))))) -> 2_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   5_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(x1))))))) -> 5_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(x1)))))))))))
   5_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(x1))))))) -> 5_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(x1)))))))))))
   5_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(x1))))))) -> 5_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(x1)))))))))))
   5_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{3_1}(x1))))))) -> 5_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(x1)))))))))))
   5_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(x1))))))) -> 5_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(x1)))))))))))
   5_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{2_1}(x1))))))) -> 5_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(x1)))))))))))
   1_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(x1))))))) -> 1_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(x1)))))))))))
   1_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(x1))))))) -> 1_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(x1)))))))))))
   1_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(x1))))))) -> 1_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(x1)))))))))))
   1_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{3_1}(x1))))))) -> 1_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(x1)))))))))))
   1_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(x1))))))) -> 1_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(x1)))))))))))
   1_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{2_1}(x1))))))) -> 1_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(x1)))))))))))
   0_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(x1))))))) -> 0_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(x1)))))))))))
   0_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(x1))))))) -> 0_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(x1)))))))))))
   0_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(x1))))))) -> 0_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(x1)))))))))))
   0_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{3_1}(x1))))))) -> 0_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(x1)))))))))))
   0_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(x1))))))) -> 0_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(x1)))))))))))
   0_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{2_1}(x1))))))) -> 0_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(x1)))))))))))
   3_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(x1))))))) -> 3_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(x1)))))))))))
   3_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(x1))))))) -> 3_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(x1)))))))))))
   3_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(x1))))))) -> 3_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(x1)))))))))))
   3_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{3_1}(x1))))))) -> 3_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(x1)))))))))))
   3_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(x1))))))) -> 3_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(x1)))))))))))
   3_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{2_1}(x1))))))) -> 3_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(x1)))))))))))
   4_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(x1))))))) -> 4_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(x1)))))))))))
   4_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(x1))))))) -> 4_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(x1)))))))))))
   4_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(x1))))))) -> 4_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(x1)))))))))))
   4_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{3_1}(x1))))))) -> 4_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(x1)))))))))))
   4_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(x1))))))) -> 4_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(x1)))))))))))
   4_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{2_1}(x1))))))) -> 4_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(x1)))))))))))
   2_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(x1))))))) -> 2_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(x1)))))))))))
   2_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(x1))))))) -> 2_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(x1)))))))))))
   2_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(x1))))))) -> 2_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(x1)))))))))))
   2_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{3_1}(x1))))))) -> 2_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{3_1}(x1)))))))))))
   2_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{4_1}(x1))))))) -> 2_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(x1)))))))))))
   2_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{2_1}(x1))))))) -> 2_{3_1}(3_{2_1}(2_{4_1}(4_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{2_1}(x1)))))))))))
   5_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{5_1}(x1))))))) -> 5_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(x1)))))))))))
   5_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))))) -> 5_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{1_1}(x1)))))))))))
   5_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))))) -> 5_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{0_1}(x1)))))))))))
   5_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(x1))))))) -> 5_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{3_1}(x1)))))))))))
   5_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(x1))))))) -> 5_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{4_1}(x1)))))))))))
   5_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))))) -> 5_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{2_1}(x1)))))))))))
   1_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{5_1}(x1))))))) -> 1_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(x1)))))))))))
   1_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))))) -> 1_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{1_1}(x1)))))))))))
   1_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))))) -> 1_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{0_1}(x1)))))))))))
   1_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(x1))))))) -> 1_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{3_1}(x1)))))))))))
   1_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(x1))))))) -> 1_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{4_1}(x1)))))))))))
   1_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))))) -> 1_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{2_1}(x1)))))))))))
   0_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{5_1}(x1))))))) -> 0_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(x1)))))))))))
   0_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))))) -> 0_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{1_1}(x1)))))))))))
   0_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))))) -> 0_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{0_1}(x1)))))))))))
   0_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(x1))))))) -> 0_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{3_1}(x1)))))))))))
   0_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(x1))))))) -> 0_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{4_1}(x1)))))))))))
   0_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))))) -> 0_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{2_1}(x1)))))))))))
   3_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{5_1}(x1))))))) -> 3_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(x1)))))))))))
   3_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))))) -> 3_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{1_1}(x1)))))))))))
   3_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))))) -> 3_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{0_1}(x1)))))))))))
   3_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(x1))))))) -> 3_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{3_1}(x1)))))))))))
   3_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(x1))))))) -> 3_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{4_1}(x1)))))))))))
   3_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))))) -> 3_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{2_1}(x1)))))))))))
   4_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{5_1}(x1))))))) -> 4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(x1)))))))))))
   4_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))))) -> 4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{1_1}(x1)))))))))))
   4_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))))) -> 4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{0_1}(x1)))))))))))
   4_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(x1))))))) -> 4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{3_1}(x1)))))))))))
   4_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(x1))))))) -> 4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{4_1}(x1)))))))))))
   4_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))))) -> 4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{2_1}(x1)))))))))))
   2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{5_1}(x1))))))) -> 2_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(x1)))))))))))
   2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))))) -> 2_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{1_1}(x1)))))))))))
   2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))))) -> 2_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{0_1}(x1)))))))))))
   2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(x1))))))) -> 2_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{3_1}(x1)))))))))))
   2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(x1))))))) -> 2_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{4_1}(x1)))))))))))
   2_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))))) -> 2_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{2_1}(x1)))))))))))
   5_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(x1))))))) -> 5_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(x1)))))))))))
   5_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(x1))))))) -> 5_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x1)))))))))))
   5_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(x1))))))) -> 5_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x1)))))))))))
   5_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(x1))))))) -> 5_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(x1)))))))))))
   5_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(x1))))))) -> 5_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(x1)))))))))))
   5_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(x1))))))) -> 5_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x1)))))))))))
   1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(x1))))))) -> 1_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(x1)))))))))))
   1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(x1))))))) -> 1_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x1)))))))))))
   1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(x1))))))) -> 1_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x1)))))))))))
   1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(x1))))))) -> 1_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(x1)))))))))))
   1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(x1))))))) -> 1_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(x1)))))))))))
   1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(x1))))))) -> 1_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x1)))))))))))
   0_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(x1))))))) -> 0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(x1)))))))))))
   0_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(x1))))))) -> 0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x1)))))))))))
   0_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(x1))))))) -> 0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x1)))))))))))
   0_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(x1))))))) -> 0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(x1)))))))))))
   0_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(x1))))))) -> 0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(x1)))))))))))
   0_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(x1))))))) -> 0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x1)))))))))))
   3_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(x1))))))) -> 3_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(x1)))))))))))
   3_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(x1))))))) -> 3_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x1)))))))))))
   3_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(x1))))))) -> 3_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x1)))))))))))
   3_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(x1))))))) -> 3_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(x1)))))))))))
   3_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(x1))))))) -> 3_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(x1)))))))))))
   3_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(x1))))))) -> 3_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x1)))))))))))
   4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(x1))))))) -> 4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(x1)))))))))))
   4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(x1))))))) -> 4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x1)))))))))))
   4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(x1))))))) -> 4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x1)))))))))))
   4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(x1))))))) -> 4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(x1)))))))))))
   4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(x1))))))) -> 4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(x1)))))))))))
   4_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(x1))))))) -> 4_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x1)))))))))))
   2_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(x1))))))) -> 2_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(x1)))))))))))
   2_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(x1))))))) -> 2_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x1)))))))))))
   2_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(x1))))))) -> 2_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x1)))))))))))
   2_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(x1))))))) -> 2_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(x1)))))))))))
   2_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(x1))))))) -> 2_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(x1)))))))))))
   2_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(x1))))))) -> 2_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x1)))))))))))
   5_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{1_1}(1_{5_1}(x1))))))) -> 5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(x1)))))))))))
   5_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{1_1}(1_{1_1}(x1))))))) -> 5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(x1)))))))))))
   5_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(x1))))))) -> 5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(x1)))))))))))
   5_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{1_1}(1_{3_1}(x1))))))) -> 5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(x1)))))))))))
   5_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{1_1}(1_{4_1}(x1))))))) -> 5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(x1)))))))))))
   5_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(x1))))))) -> 5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(x1)))))))))))
   1_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{1_1}(1_{5_1}(x1))))))) -> 1_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(x1)))))))))))
   1_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{1_1}(1_{1_1}(x1))))))) -> 1_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(x1)))))))))))
   1_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(x1))))))) -> 1_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(x1)))))))))))
   1_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{1_1}(1_{3_1}(x1))))))) -> 1_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(x1)))))))))))
   1_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{1_1}(1_{4_1}(x1))))))) -> 1_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(x1)))))))))))
   1_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(x1))))))) -> 1_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(x1)))))))))))
   0_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{1_1}(1_{5_1}(x1))))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(x1)))))))))))
   0_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{1_1}(1_{1_1}(x1))))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(x1)))))))))))
   0_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(x1))))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(x1)))))))))))
   0_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{1_1}(1_{3_1}(x1))))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(x1)))))))))))
   0_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{1_1}(1_{4_1}(x1))))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(x1)))))))))))
   0_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(x1))))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(x1)))))))))))
   3_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{1_1}(1_{5_1}(x1))))))) -> 3_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(x1)))))))))))
   3_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{1_1}(1_{1_1}(x1))))))) -> 3_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(x1)))))))))))
   3_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(x1))))))) -> 3_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(x1)))))))))))
   3_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{1_1}(1_{3_1}(x1))))))) -> 3_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(x1)))))))))))
   3_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{1_1}(1_{4_1}(x1))))))) -> 3_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(x1)))))))))))
   3_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(x1))))))) -> 3_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(x1)))))))))))
   4_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{1_1}(1_{5_1}(x1))))))) -> 4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(x1)))))))))))
   4_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{1_1}(1_{1_1}(x1))))))) -> 4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(x1)))))))))))
   4_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(x1))))))) -> 4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(x1)))))))))))
   4_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{1_1}(1_{3_1}(x1))))))) -> 4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(x1)))))))))))
   4_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{1_1}(1_{4_1}(x1))))))) -> 4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(x1)))))))))))
   4_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(x1))))))) -> 4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(x1)))))))))))
   2_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{1_1}(1_{5_1}(x1))))))) -> 2_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(x1)))))))))))
   2_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{1_1}(1_{1_1}(x1))))))) -> 2_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(x1)))))))))))
   2_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(x1))))))) -> 2_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(x1)))))))))))
   2_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{1_1}(1_{3_1}(x1))))))) -> 2_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(x1)))))))))))
   2_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{1_1}(1_{4_1}(x1))))))) -> 2_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(x1)))))))))))
   2_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(x1))))))) -> 2_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(x1)))))))))))
   5_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(x1))))))) -> 5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   5_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(x1))))))) -> 5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   5_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{0_1}(x1))))))) -> 5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   5_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(x1))))))) -> 5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   5_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(x1))))))) -> 5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   5_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(x1))))))) -> 5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   1_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(x1))))))) -> 1_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   1_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(x1))))))) -> 1_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   1_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{0_1}(x1))))))) -> 1_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   1_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(x1))))))) -> 1_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   1_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(x1))))))) -> 1_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   1_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(x1))))))) -> 1_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   0_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(x1))))))) -> 0_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   0_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(x1))))))) -> 0_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   0_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{0_1}(x1))))))) -> 0_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   0_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(x1))))))) -> 0_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   0_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(x1))))))) -> 0_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   0_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(x1))))))) -> 0_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   3_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(x1))))))) -> 3_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   3_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(x1))))))) -> 3_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   3_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{0_1}(x1))))))) -> 3_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   3_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(x1))))))) -> 3_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   3_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(x1))))))) -> 3_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   3_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(x1))))))) -> 3_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   4_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   4_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   4_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{0_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   4_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   4_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   4_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(x1))))))) -> 4_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(x1))))))) -> 2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(x1))))))) -> 2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{0_1}(x1))))))) -> 2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(x1))))))) -> 2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(x1))))))) -> 2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(x1))))))) -> 2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   5_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(4_{5_1}(x1))))))) -> 5_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{5_1}(x1)))))))))))
   5_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(4_{1_1}(x1))))))) -> 5_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(x1)))))))))))
   5_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(x1))))))) -> 5_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{0_1}(x1)))))))))))
   5_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(4_{3_1}(x1))))))) -> 5_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{3_1}(x1)))))))))))
   5_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(4_{4_1}(x1))))))) -> 5_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(x1)))))))))))
   5_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(x1))))))) -> 5_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(x1)))))))))))
   1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(4_{5_1}(x1))))))) -> 1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{5_1}(x1)))))))))))
   1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(4_{1_1}(x1))))))) -> 1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(x1)))))))))))
   1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(x1))))))) -> 1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{0_1}(x1)))))))))))
   1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(4_{3_1}(x1))))))) -> 1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{3_1}(x1)))))))))))
   1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(4_{4_1}(x1))))))) -> 1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(x1)))))))))))
   1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(x1))))))) -> 1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(x1)))))))))))
   0_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(4_{5_1}(x1))))))) -> 0_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{5_1}(x1)))))))))))
   0_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(4_{1_1}(x1))))))) -> 0_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(x1)))))))))))
   0_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(x1))))))) -> 0_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{0_1}(x1)))))))))))
   0_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(4_{3_1}(x1))))))) -> 0_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{3_1}(x1)))))))))))
   0_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(4_{4_1}(x1))))))) -> 0_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(x1)))))))))))
   0_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(x1))))))) -> 0_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(x1)))))))))))
   3_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(4_{5_1}(x1))))))) -> 3_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{5_1}(x1)))))))))))
   3_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(4_{1_1}(x1))))))) -> 3_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(x1)))))))))))
   3_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(x1))))))) -> 3_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{0_1}(x1)))))))))))
   3_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(4_{3_1}(x1))))))) -> 3_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{3_1}(x1)))))))))))
   3_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(4_{4_1}(x1))))))) -> 3_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(x1)))))))))))
   3_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(x1))))))) -> 3_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(x1)))))))))))
   4_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(4_{5_1}(x1))))))) -> 4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{5_1}(x1)))))))))))
   4_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(4_{1_1}(x1))))))) -> 4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(x1)))))))))))
   4_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(x1))))))) -> 4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{0_1}(x1)))))))))))
   4_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(4_{3_1}(x1))))))) -> 4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{3_1}(x1)))))))))))
   4_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(4_{4_1}(x1))))))) -> 4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(x1)))))))))))
   4_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(x1))))))) -> 4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(x1)))))))))))
   2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(4_{5_1}(x1))))))) -> 2_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{5_1}(x1)))))))))))
   2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(4_{1_1}(x1))))))) -> 2_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(x1)))))))))))
   2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(x1))))))) -> 2_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{0_1}(x1)))))))))))
   2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(4_{3_1}(x1))))))) -> 2_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{3_1}(x1)))))))))))
   2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(4_{4_1}(x1))))))) -> 2_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(x1)))))))))))
   2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(x1))))))) -> 2_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(x1)))))))))))
   5_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(x1)))))))) -> 5_{4_1}(4_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{5_1}(x1)))))))))))
   5_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x1)))))))) -> 5_{4_1}(4_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(x1)))))))))))
   5_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x1)))))))) -> 5_{4_1}(4_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(x1)))))))))))
   5_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(x1)))))))) -> 5_{4_1}(4_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(x1)))))))))))
   5_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(x1)))))))) -> 5_{4_1}(4_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(x1)))))))))))
   5_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x1)))))))) -> 5_{4_1}(4_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(x1)))))))))))
   1_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(x1)))))))) -> 1_{4_1}(4_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{5_1}(x1)))))))))))
   1_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x1)))))))) -> 1_{4_1}(4_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(x1)))))))))))
   1_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x1)))))))) -> 1_{4_1}(4_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(x1)))))))))))
   1_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(x1)))))))) -> 1_{4_1}(4_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(x1)))))))))))
   1_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(x1)))))))) -> 1_{4_1}(4_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(x1)))))))))))
   1_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x1)))))))) -> 1_{4_1}(4_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(x1)))))))))))
   0_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(x1)))))))) -> 0_{4_1}(4_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{5_1}(x1)))))))))))
   0_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x1)))))))) -> 0_{4_1}(4_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(x1)))))))))))
   0_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x1)))))))) -> 0_{4_1}(4_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(x1)))))))))))
   0_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(x1)))))))) -> 0_{4_1}(4_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(x1)))))))))))
   0_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(x1)))))))) -> 0_{4_1}(4_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(x1)))))))))))
   0_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x1)))))))) -> 0_{4_1}(4_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(x1)))))))))))
   3_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(x1)))))))) -> 3_{4_1}(4_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{5_1}(x1)))))))))))
   3_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x1)))))))) -> 3_{4_1}(4_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(x1)))))))))))
   3_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x1)))))))) -> 3_{4_1}(4_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(x1)))))))))))
   3_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(x1)))))))) -> 3_{4_1}(4_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(x1)))))))))))
   3_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(x1)))))))) -> 3_{4_1}(4_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(x1)))))))))))
   3_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x1)))))))) -> 3_{4_1}(4_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(x1)))))))))))
   4_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(x1)))))))) -> 4_{4_1}(4_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{5_1}(x1)))))))))))
   4_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x1)))))))) -> 4_{4_1}(4_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(x1)))))))))))
   4_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x1)))))))) -> 4_{4_1}(4_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(x1)))))))))))
   4_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(x1)))))))) -> 4_{4_1}(4_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(x1)))))))))))
   4_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(x1)))))))) -> 4_{4_1}(4_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(x1)))))))))))
   4_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x1)))))))) -> 4_{4_1}(4_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(x1)))))))))))
   2_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(x1)))))))) -> 2_{4_1}(4_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{5_1}(x1)))))))))))
   2_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x1)))))))) -> 2_{4_1}(4_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(x1)))))))))))
   2_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x1)))))))) -> 2_{4_1}(4_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(x1)))))))))))
   2_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(x1)))))))) -> 2_{4_1}(4_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(x1)))))))))))
   2_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(x1)))))))) -> 2_{4_1}(4_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(x1)))))))))))
   2_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x1)))))))) -> 2_{4_1}(4_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(x1)))))))))))
   5_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   5_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   5_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   5_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   5_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   5_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   1_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   1_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   1_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   1_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   1_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   1_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   0_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   0_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   0_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   0_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   0_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   0_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   3_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   3_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   3_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   3_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   3_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   3_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   4_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   4_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   4_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   4_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   4_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   4_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   5_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(x1)))))))) -> 5_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   5_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(1_{1_1}(x1)))))))) -> 5_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   5_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(1_{0_1}(x1)))))))) -> 5_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   5_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(x1)))))))) -> 5_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   5_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(1_{4_1}(x1)))))))) -> 5_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   5_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(x1)))))))) -> 5_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   1_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(x1)))))))) -> 1_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   1_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(1_{1_1}(x1)))))))) -> 1_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   1_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(1_{0_1}(x1)))))))) -> 1_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   1_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(x1)))))))) -> 1_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   1_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(1_{4_1}(x1)))))))) -> 1_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   1_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(x1)))))))) -> 1_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   0_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(x1)))))))) -> 0_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   0_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(1_{1_1}(x1)))))))) -> 0_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   0_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(1_{0_1}(x1)))))))) -> 0_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   0_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(x1)))))))) -> 0_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   0_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(1_{4_1}(x1)))))))) -> 0_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   0_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(x1)))))))) -> 0_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   3_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(x1)))))))) -> 3_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   3_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(1_{1_1}(x1)))))))) -> 3_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   3_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(1_{0_1}(x1)))))))) -> 3_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   3_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(x1)))))))) -> 3_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   3_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(1_{4_1}(x1)))))))) -> 3_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   3_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(x1)))))))) -> 3_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(x1)))))))) -> 4_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(1_{1_1}(x1)))))))) -> 4_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(1_{0_1}(x1)))))))) -> 4_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(x1)))))))) -> 4_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(1_{4_1}(x1)))))))) -> 4_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(x1)))))))) -> 4_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   2_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(1_{5_1}(x1)))))))) -> 2_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{5_1}(x1)))))))))))
   2_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(1_{1_1}(x1)))))))) -> 2_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(x1)))))))))))
   2_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(1_{0_1}(x1)))))))) -> 2_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(x1)))))))))))
   2_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(1_{3_1}(x1)))))))) -> 2_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(x1)))))))))))
   2_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(1_{4_1}(x1)))))))) -> 2_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{4_1}(x1)))))))))))
   2_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(1_{2_1}(x1)))))))) -> 2_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{2_1}(x1)))))))))))
   5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(x1)))))))) -> 5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{5_1}(x1)))))))))))
   5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{1_1}(x1)))))))) -> 5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(x1)))))))))))
   5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(x1)))))))) -> 5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{0_1}(x1)))))))))))
   5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(x1)))))))) -> 5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(x1)))))))))))
   5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{4_1}(x1)))))))) -> 5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(x1)))))))))))
   5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(x1)))))))) -> 5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{2_1}(x1)))))))))))
   1_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(x1)))))))) -> 1_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{5_1}(x1)))))))))))
   1_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{1_1}(x1)))))))) -> 1_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(x1)))))))))))
   1_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(x1)))))))) -> 1_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{0_1}(x1)))))))))))
   1_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(x1)))))))) -> 1_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(x1)))))))))))
   1_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{4_1}(x1)))))))) -> 1_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(x1)))))))))))
   1_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(x1)))))))) -> 1_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{2_1}(x1)))))))))))
   0_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(x1)))))))) -> 0_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{5_1}(x1)))))))))))
   0_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{1_1}(x1)))))))) -> 0_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(x1)))))))))))
   0_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(x1)))))))) -> 0_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{0_1}(x1)))))))))))
   0_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(x1)))))))) -> 0_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(x1)))))))))))
   0_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{4_1}(x1)))))))) -> 0_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(x1)))))))))))
   0_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(x1)))))))) -> 0_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{2_1}(x1)))))))))))
   3_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(x1)))))))) -> 3_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{5_1}(x1)))))))))))
   3_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{1_1}(x1)))))))) -> 3_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(x1)))))))))))
   3_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(x1)))))))) -> 3_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{0_1}(x1)))))))))))
   3_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(x1)))))))) -> 3_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(x1)))))))))))
   3_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{4_1}(x1)))))))) -> 3_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(x1)))))))))))
   3_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(x1)))))))) -> 3_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{2_1}(x1)))))))))))
   4_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(x1)))))))) -> 4_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{5_1}(x1)))))))))))
   4_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{1_1}(x1)))))))) -> 4_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(x1)))))))))))
   4_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(x1)))))))) -> 4_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{0_1}(x1)))))))))))
   4_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(x1)))))))) -> 4_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(x1)))))))))))
   4_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{4_1}(x1)))))))) -> 4_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(x1)))))))))))
   4_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(x1)))))))) -> 4_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{2_1}(x1)))))))))))
   2_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(x1)))))))) -> 2_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{5_1}(x1)))))))))))
   2_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{1_1}(x1)))))))) -> 2_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(x1)))))))))))
   2_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(x1)))))))) -> 2_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{0_1}(x1)))))))))))
   2_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(x1)))))))) -> 2_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(x1)))))))))))
   2_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{4_1}(x1)))))))) -> 2_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(x1)))))))))))
   2_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(x1)))))))) -> 2_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{2_1}(x1)))))))))))
   5_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))) -> 5_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(x1)))))))))))
   5_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))) -> 5_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(x1)))))))))))
   5_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))) -> 5_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(x1)))))))))))
   5_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))) -> 5_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(x1)))))))))))
   5_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))) -> 5_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(x1)))))))))))
   5_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))) -> 5_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(x1)))))))))))
   1_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))) -> 1_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(x1)))))))))))
   1_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))) -> 1_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(x1)))))))))))
   1_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))) -> 1_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(x1)))))))))))
   1_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))) -> 1_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(x1)))))))))))
   1_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))) -> 1_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(x1)))))))))))
   1_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))) -> 1_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(x1)))))))))))
   0_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(x1)))))))))))
   0_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(x1)))))))))))
   0_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(x1)))))))))))
   0_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(x1)))))))))))
   0_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(x1)))))))))))
   0_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(x1)))))))))))
   3_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))) -> 3_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(x1)))))))))))
   3_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))) -> 3_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(x1)))))))))))
   3_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))) -> 3_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(x1)))))))))))
   3_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))) -> 3_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(x1)))))))))))
   3_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))) -> 3_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(x1)))))))))))
   3_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))) -> 3_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(x1)))))))))))
   4_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))) -> 4_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(x1)))))))))))
   4_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))) -> 4_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(x1)))))))))))
   4_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))) -> 4_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(x1)))))))))))
   4_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))) -> 4_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(x1)))))))))))
   4_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))) -> 4_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(x1)))))))))))
   4_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))) -> 4_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(x1)))))))))))
   2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))) -> 2_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(x1)))))))))))
   2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))) -> 2_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(x1)))))))))))
   2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))) -> 2_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(x1)))))))))))
   2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))) -> 2_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(x1)))))))))))
   2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))) -> 2_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(x1)))))))))))
   2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))) -> 2_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(x1)))))))))))
   5_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{5_1}(x1)))))))) -> 5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{5_1}(x1)))))))))))
   5_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(x1)))))))) -> 5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(x1)))))))))))
   5_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(x1)))))))) -> 5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{0_1}(x1)))))))))))
   5_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{3_1}(x1)))))))) -> 5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(x1)))))))))))
   5_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{4_1}(x1)))))))) -> 5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(x1)))))))))))
   5_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(x1)))))))) -> 5_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(x1)))))))))))
   1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{5_1}(x1)))))))) -> 1_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{5_1}(x1)))))))))))
   1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(x1)))))))) -> 1_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(x1)))))))))))
   1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(x1)))))))) -> 1_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{0_1}(x1)))))))))))
   1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{3_1}(x1)))))))) -> 1_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(x1)))))))))))
   1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{4_1}(x1)))))))) -> 1_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(x1)))))))))))
   1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(x1)))))))) -> 1_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(x1)))))))))))
   0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{5_1}(x1)))))))) -> 0_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{5_1}(x1)))))))))))
   0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(x1)))))))) -> 0_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(x1)))))))))))
   0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(x1)))))))) -> 0_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{0_1}(x1)))))))))))
   0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{3_1}(x1)))))))) -> 0_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(x1)))))))))))
   0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{4_1}(x1)))))))) -> 0_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(x1)))))))))))
   0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(x1)))))))) -> 0_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(x1)))))))))))
   3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{5_1}(x1)))))))) -> 3_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{5_1}(x1)))))))))))
   3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(x1)))))))) -> 3_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(x1)))))))))))
   3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(x1)))))))) -> 3_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{0_1}(x1)))))))))))
   3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{3_1}(x1)))))))) -> 3_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(x1)))))))))))
   3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{4_1}(x1)))))))) -> 3_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(x1)))))))))))
   3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(x1)))))))) -> 3_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(x1)))))))))))
   4_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{5_1}(x1)))))))) -> 4_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{5_1}(x1)))))))))))
   4_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(x1)))))))) -> 4_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(x1)))))))))))
   4_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(x1)))))))) -> 4_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{0_1}(x1)))))))))))
   4_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{3_1}(x1)))))))) -> 4_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(x1)))))))))))
   4_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{4_1}(x1)))))))) -> 4_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(x1)))))))))))
   4_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(x1)))))))) -> 4_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(x1)))))))))))
   2_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{5_1}(x1)))))))) -> 2_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{5_1}(x1)))))))))))
   2_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{1_1}(x1)))))))) -> 2_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(x1)))))))))))
   2_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(x1)))))))) -> 2_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{0_1}(x1)))))))))))
   2_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{3_1}(x1)))))))) -> 2_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(x1)))))))))))
   2_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{4_1}(x1)))))))) -> 2_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(x1)))))))))))
   2_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(x1)))))))) -> 2_{3_1}(3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))) -> 5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))) -> 5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))) -> 5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))) -> 5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))) -> 5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))) -> 5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))) -> 1_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))) -> 1_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))) -> 1_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))) -> 1_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))) -> 1_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))) -> 1_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))) -> 0_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))) -> 0_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))) -> 0_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))) -> 0_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))) -> 0_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))) -> 0_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))) -> 3_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))) -> 3_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))) -> 3_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))) -> 3_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))) -> 3_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))) -> 3_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))) -> 4_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))) -> 4_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))) -> 4_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))) -> 4_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))) -> 4_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))) -> 4_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))) -> 2_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))) -> 2_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))) -> 2_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))) -> 2_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))) -> 2_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))) -> 2_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))
   5_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   5_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   5_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   5_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   5_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   5_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   1_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   1_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   1_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   1_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   1_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   1_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   3_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   3_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   3_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   3_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   3_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   3_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   2_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   2_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   2_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   2_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   2_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   2_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   5_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(3_{5_1}(x1)))))))) -> 5_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{5_1}(x1)))))))))))
   5_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(x1)))))))) -> 5_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(x1)))))))))))
   5_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(x1)))))))) -> 5_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(x1)))))))))))
   5_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(3_{3_1}(x1)))))))) -> 5_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(x1)))))))))))
   5_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(3_{4_1}(x1)))))))) -> 5_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{4_1}(x1)))))))))))
   5_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(x1)))))))) -> 5_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(x1)))))))))))
   1_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(3_{5_1}(x1)))))))) -> 1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{5_1}(x1)))))))))))
   1_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(x1)))))))) -> 1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(x1)))))))))))
   1_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(x1)))))))) -> 1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(x1)))))))))))
   1_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(3_{3_1}(x1)))))))) -> 1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(x1)))))))))))
   1_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(3_{4_1}(x1)))))))) -> 1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{4_1}(x1)))))))))))
   1_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(x1)))))))) -> 1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(x1)))))))))))
   0_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(3_{5_1}(x1)))))))) -> 0_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{5_1}(x1)))))))))))
   0_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(x1)))))))) -> 0_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(x1)))))))))))
   0_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(x1)))))))) -> 0_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(x1)))))))))))
   0_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(3_{3_1}(x1)))))))) -> 0_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(x1)))))))))))
   0_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(3_{4_1}(x1)))))))) -> 0_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{4_1}(x1)))))))))))
   0_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(x1)))))))) -> 0_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(x1)))))))))))
   3_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(3_{5_1}(x1)))))))) -> 3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{5_1}(x1)))))))))))
   3_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(x1)))))))) -> 3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(x1)))))))))))
   3_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(x1)))))))) -> 3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(x1)))))))))))
   3_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(3_{3_1}(x1)))))))) -> 3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(x1)))))))))))
   3_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(3_{4_1}(x1)))))))) -> 3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{4_1}(x1)))))))))))
   3_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(x1)))))))) -> 3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(x1)))))))))))
   4_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(3_{5_1}(x1)))))))) -> 4_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{5_1}(x1)))))))))))
   4_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(x1)))))))) -> 4_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(x1)))))))))))
   4_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(x1)))))))) -> 4_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(x1)))))))))))
   4_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(3_{3_1}(x1)))))))) -> 4_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(x1)))))))))))
   4_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(3_{4_1}(x1)))))))) -> 4_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{4_1}(x1)))))))))))
   4_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(x1)))))))) -> 4_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(x1)))))))))))
   2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(3_{5_1}(x1)))))))) -> 2_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{5_1}(x1)))))))))))
   2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(x1)))))))) -> 2_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(x1)))))))))))
   2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(x1)))))))) -> 2_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(x1)))))))))))
   2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(3_{3_1}(x1)))))))) -> 2_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(x1)))))))))))
   2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(3_{4_1}(x1)))))))) -> 2_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{4_1}(x1)))))))))))
   2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(x1)))))))) -> 2_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))))))) -> 5_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))))))) -> 5_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))))))) -> 5_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))))))) -> 5_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))))))) -> 5_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))
   5_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))))))) -> 5_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))))))) -> 1_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))))))) -> 1_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))))))) -> 1_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))))))) -> 1_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))))))) -> 1_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))
   1_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))))))) -> 1_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))))))) -> 0_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))))))) -> 0_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))))))) -> 0_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))))))) -> 0_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))))))) -> 0_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))
   0_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))))))) -> 0_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))))))) -> 3_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))))))) -> 3_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))))))) -> 3_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))))))) -> 3_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))))))) -> 3_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))
   3_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))))))) -> 3_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))))))) -> 4_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))))))) -> 4_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))))))) -> 4_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))))))) -> 4_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))))))) -> 4_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))
   4_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))))))) -> 4_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))))))) -> 2_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))))))) -> 2_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))))))) -> 2_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))))))) -> 2_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))))))) -> 2_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))
   2_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))))))) -> 2_{3_1}(3_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))
   5_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(4_{5_1}(x1)))))))) -> 5_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{5_1}(x1)))))))))))
   5_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(x1)))))))) -> 5_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{1_1}(x1)))))))))))
   5_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(x1)))))))) -> 5_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(x1)))))))))))
   5_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(x1)))))))) -> 5_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{3_1}(x1)))))))))))
   5_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(x1)))))))) -> 5_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(x1)))))))))))
   5_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(x1)))))))) -> 5_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(x1)))))))))))
   1_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(4_{5_1}(x1)))))))) -> 1_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{5_1}(x1)))))))))))
   1_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(x1)))))))) -> 1_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{1_1}(x1)))))))))))
   1_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(x1)))))))) -> 1_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(x1)))))))))))
   1_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(x1)))))))) -> 1_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{3_1}(x1)))))))))))
   1_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(x1)))))))) -> 1_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(x1)))))))))))
   1_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(x1)))))))) -> 1_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(x1)))))))))))
   0_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(4_{5_1}(x1)))))))) -> 0_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{5_1}(x1)))))))))))
   0_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(x1)))))))) -> 0_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{1_1}(x1)))))))))))
   0_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(x1)))))))) -> 0_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(x1)))))))))))
   0_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(x1)))))))) -> 0_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{3_1}(x1)))))))))))
   0_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(x1)))))))) -> 0_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(x1)))))))))))
   0_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(x1)))))))) -> 0_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(x1)))))))))))
   3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(4_{5_1}(x1)))))))) -> 3_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{5_1}(x1)))))))))))
   3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(x1)))))))) -> 3_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{1_1}(x1)))))))))))
   3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(x1)))))))) -> 3_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(x1)))))))))))
   3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(x1)))))))) -> 3_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{3_1}(x1)))))))))))
   3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(x1)))))))) -> 3_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(x1)))))))))))
   3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(x1)))))))) -> 3_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(x1)))))))))))
   4_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(4_{5_1}(x1)))))))) -> 4_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{5_1}(x1)))))))))))
   4_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(x1)))))))) -> 4_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{1_1}(x1)))))))))))
   4_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(x1)))))))) -> 4_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(x1)))))))))))
   4_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(x1)))))))) -> 4_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{3_1}(x1)))))))))))
   4_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(x1)))))))) -> 4_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(x1)))))))))))
   4_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(x1)))))))) -> 4_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(x1)))))))))))
   2_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(4_{5_1}(x1)))))))) -> 2_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{5_1}(x1)))))))))))
   2_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(x1)))))))) -> 2_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{1_1}(x1)))))))))))
   2_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(x1)))))))) -> 2_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(x1)))))))))))
   2_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(x1)))))))) -> 2_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{3_1}(x1)))))))))))
   2_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(x1)))))))) -> 2_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(x1)))))))))))
   2_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(x1)))))))) -> 2_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(x1)))))))) -> 5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(x1)))))))) -> 5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{0_1}(x1)))))))) -> 5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(x1)))))))) -> 5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(x1)))))))) -> 5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))))))))
   5_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{2_1}(x1)))))))) -> 5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(x1)))))))) -> 1_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(x1)))))))) -> 1_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{0_1}(x1)))))))) -> 1_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(x1)))))))) -> 1_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(x1)))))))) -> 1_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))))))))
   1_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{2_1}(x1)))))))) -> 1_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(x1)))))))) -> 0_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(x1)))))))) -> 0_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{0_1}(x1)))))))) -> 0_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(x1)))))))) -> 0_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(x1)))))))) -> 0_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))))))))
   0_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{2_1}(x1)))))))) -> 0_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(x1)))))))) -> 3_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(x1)))))))) -> 3_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{0_1}(x1)))))))) -> 3_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(x1)))))))) -> 3_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(x1)))))))) -> 3_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))))))))
   3_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{2_1}(x1)))))))) -> 3_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(x1)))))))) -> 4_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(x1)))))))) -> 4_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{0_1}(x1)))))))) -> 4_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(x1)))))))) -> 4_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(x1)))))))) -> 4_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))))))))
   4_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{2_1}(x1)))))))) -> 4_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(x1)))))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(x1)))))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{0_1}(x1)))))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(x1)))))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(x1)))))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))))))))
   2_{3_1}(3_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{2_1}(x1)))))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))))))))
   5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{5_1}(x1)))))))) -> 5_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(x1)))))))) -> 5_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(x1)))))))) -> 5_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(x1)))))))) -> 5_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(x1)))))))) -> 5_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(x1)))))))) -> 5_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   1_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{5_1}(x1)))))))) -> 1_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   1_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(x1)))))))) -> 1_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   1_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(x1)))))))) -> 1_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   1_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(x1)))))))) -> 1_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   1_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(x1)))))))) -> 1_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   1_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(x1)))))))) -> 1_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   0_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{5_1}(x1)))))))) -> 0_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   0_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(x1)))))))) -> 0_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   0_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(x1)))))))) -> 0_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   0_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(x1)))))))) -> 0_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   0_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(x1)))))))) -> 0_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   0_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(x1)))))))) -> 0_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   3_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{5_1}(x1)))))))) -> 3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   3_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(x1)))))))) -> 3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   3_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(x1)))))))) -> 3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   3_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(x1)))))))) -> 3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   3_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(x1)))))))) -> 3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   3_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(x1)))))))) -> 3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   4_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{5_1}(x1)))))))) -> 4_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   4_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(x1)))))))) -> 4_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   4_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(x1)))))))) -> 4_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   4_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(x1)))))))) -> 4_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   4_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(x1)))))))) -> 4_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   4_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(x1)))))))) -> 4_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   2_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{5_1}(x1)))))))) -> 2_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))))
   2_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(x1)))))))) -> 2_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))))
   2_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(x1)))))))) -> 2_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))))
   2_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(x1)))))))) -> 2_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))))
   2_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(x1)))))))) -> 2_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))))
   2_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(x1)))))))) -> 2_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{4_1}(4_{5_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))))
   5_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{4_1}(4_{5_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))))
   1_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{4_1}(4_{5_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))))
   0_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{4_1}(4_{5_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))))
   3_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{4_1}(4_{5_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))))
   4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{4_1}(4_{5_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))))
   2_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))))
   5_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{5_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))))
   5_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))))
   5_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{0_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))))
   5_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))))
   5_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{4_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))))
   5_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))))
   1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{5_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))))
   1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))))
   1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{0_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))))
   1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))))
   1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{4_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))))
   1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))))
   0_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{5_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))))
   0_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))))
   0_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{0_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))))
   0_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))))
   0_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{4_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))))
   0_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))))
   3_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{5_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))))
   3_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))))
   3_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{0_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))))
   3_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))))
   3_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{4_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))))
   3_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))))
   4_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{5_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))))
   4_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))))
   4_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{0_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))))
   4_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))))
   4_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{4_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))))
   4_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))))
   2_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{5_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))))
   2_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))))
   2_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{0_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))))
   2_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))))
   2_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{4_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))))
   2_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))))
   5_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))) -> 5_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(x1)))))))))))
   5_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))) -> 5_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(x1)))))))))))
   5_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))) -> 5_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(x1)))))))))))
   5_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))) -> 5_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(x1)))))))))))
   5_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))) -> 5_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{4_1}(x1)))))))))))
   5_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))) -> 5_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{2_1}(x1)))))))))))
   1_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))) -> 1_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(x1)))))))))))
   1_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))) -> 1_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(x1)))))))))))
   1_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))) -> 1_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(x1)))))))))))
   1_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))) -> 1_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(x1)))))))))))
   1_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))) -> 1_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{4_1}(x1)))))))))))
   1_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))) -> 1_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{2_1}(x1)))))))))))
   0_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(x1)))))))))))
   0_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(x1)))))))))))
   0_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(x1)))))))))))
   0_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(x1)))))))))))
   0_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{4_1}(x1)))))))))))
   0_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{2_1}(x1)))))))))))
   3_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))) -> 3_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(x1)))))))))))
   3_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))) -> 3_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(x1)))))))))))
   3_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))) -> 3_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(x1)))))))))))
   3_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))) -> 3_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(x1)))))))))))
   3_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))) -> 3_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{4_1}(x1)))))))))))
   3_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))) -> 3_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{2_1}(x1)))))))))))
   4_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))) -> 4_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(x1)))))))))))
   4_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))) -> 4_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(x1)))))))))))
   4_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))) -> 4_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(x1)))))))))))
   4_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))) -> 4_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(x1)))))))))))
   4_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))) -> 4_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{4_1}(x1)))))))))))
   4_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))) -> 4_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{2_1}(x1)))))))))))
   2_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))) -> 2_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(x1)))))))))))
   2_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))) -> 2_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(x1)))))))))))
   2_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))) -> 2_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(x1)))))))))))
   2_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))) -> 2_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(x1)))))))))))
   2_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))) -> 2_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{4_1}(x1)))))))))))
   2_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))) -> 2_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{2_1}(x1)))))))))))
   5_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{5_1}(x1)))))))))))
   5_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{1_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))
   5_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))
   5_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(x1)))))))))))
   5_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{4_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{4_1}(x1)))))))))))
   5_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{2_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))
   1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{5_1}(x1)))))))))))
   1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{1_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))
   1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))
   1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(x1)))))))))))
   1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{4_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{4_1}(x1)))))))))))
   1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{2_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{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_{4_1}(4_{4_1}(4_{5_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{5_1}(x1)))))))))))
   0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{1_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))
   0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{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_{4_1}(4_{4_1}(4_{3_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(x1)))))))))))
   0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{4_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{4_1}(x1)))))))))))
   0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{2_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))
   3_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(x1)))))))) -> 3_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{5_1}(x1)))))))))))
   3_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{1_1}(x1)))))))) -> 3_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))
   3_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(x1)))))))) -> 3_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))
   3_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(x1)))))))) -> 3_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(x1)))))))))))
   3_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{4_1}(x1)))))))) -> 3_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{4_1}(x1)))))))))))
   3_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{2_1}(x1)))))))) -> 3_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))
   4_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{5_1}(x1)))))))))))
   4_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{1_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))
   4_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))
   4_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(x1)))))))))))
   4_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{4_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{4_1}(x1)))))))))))
   4_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{2_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))
   2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{5_1}(x1)))))))))))
   2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{1_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))
   2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))
   2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(x1)))))))))))
   2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{4_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{4_1}(x1)))))))))))
   2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(4_{2_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))
   5_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(x1)))))))) -> 5_{2_1}(2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(x1)))))))))))
   5_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(x1)))))))) -> 5_{2_1}(2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{1_1}(x1)))))))))))
   5_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(x1)))))))) -> 5_{2_1}(2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(x1)))))))))))
   5_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(x1)))))))) -> 5_{2_1}(2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(x1)))))))))))
   5_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(x1)))))))) -> 5_{2_1}(2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{4_1}(x1)))))))))))
   5_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(x1)))))))) -> 5_{2_1}(2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{2_1}(x1)))))))))))
   1_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(x1)))))))) -> 1_{2_1}(2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(x1)))))))))))
   1_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(x1)))))))) -> 1_{2_1}(2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{1_1}(x1)))))))))))
   1_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(x1)))))))) -> 1_{2_1}(2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(x1)))))))))))
   1_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(x1)))))))) -> 1_{2_1}(2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(x1)))))))))))
   1_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(x1)))))))) -> 1_{2_1}(2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{4_1}(x1)))))))))))
   1_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(x1)))))))) -> 1_{2_1}(2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{2_1}(x1)))))))))))
   0_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(x1)))))))) -> 0_{2_1}(2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(x1)))))))))))
   0_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(x1)))))))) -> 0_{2_1}(2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{1_1}(x1)))))))))))
   0_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(x1)))))))) -> 0_{2_1}(2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(x1)))))))))))
   0_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(x1)))))))) -> 0_{2_1}(2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(x1)))))))))))
   0_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(x1)))))))) -> 0_{2_1}(2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{4_1}(x1)))))))))))
   0_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(x1)))))))) -> 0_{2_1}(2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{2_1}(x1)))))))))))
   3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(x1)))))))) -> 3_{2_1}(2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(x1)))))))))))
   3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(x1)))))))) -> 3_{2_1}(2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{1_1}(x1)))))))))))
   3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(x1)))))))) -> 3_{2_1}(2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(x1)))))))))))
   3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(x1)))))))) -> 3_{2_1}(2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(x1)))))))))))
   3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(x1)))))))) -> 3_{2_1}(2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{4_1}(x1)))))))))))
   3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(x1)))))))) -> 3_{2_1}(2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{2_1}(x1)))))))))))
   4_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(x1)))))))) -> 4_{2_1}(2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(x1)))))))))))
   4_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(x1)))))))) -> 4_{2_1}(2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{1_1}(x1)))))))))))
   4_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(x1)))))))) -> 4_{2_1}(2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(x1)))))))))))
   4_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(x1)))))))) -> 4_{2_1}(2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(x1)))))))))))
   4_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(x1)))))))) -> 4_{2_1}(2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{4_1}(x1)))))))))))
   4_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(x1)))))))) -> 4_{2_1}(2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{2_1}(x1)))))))))))
   2_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(x1)))))))) -> 2_{2_1}(2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(x1)))))))))))
   2_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(x1)))))))) -> 2_{2_1}(2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{1_1}(x1)))))))))))
   2_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(x1)))))))) -> 2_{2_1}(2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(x1)))))))))))
   2_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(x1)))))))) -> 2_{2_1}(2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(x1)))))))))))
   2_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(x1)))))))) -> 2_{2_1}(2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{4_1}(x1)))))))))))
   2_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(x1)))))))) -> 2_{2_1}(2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{2_1}(x1)))))))))))

The relative TRS consists of the following S rules:

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


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

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

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

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

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




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

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

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

The relative TRS consists of the following S rules:

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


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

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

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

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

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




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

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

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

The relative TRS consists of the following S rules:

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


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

(11) 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(0_{3_1}(x_1)) = x_1
   POL(0_{4_1}(x_1)) = x_1
   POL(0_{5_1}(x_1)) = x_1
   POL(1_{0_1}(x_1)) = x_1
   POL(1_{1_1}(x_1)) = x_1
   POL(1_{2_1}(x_1)) = x_1
   POL(1_{3_1}(x_1)) = x_1
   POL(1_{4_1}(x_1)) = x_1
   POL(1_{5_1}(x_1)) = x_1
   POL(2_{0_1}(x_1)) = x_1
   POL(2_{1_1}(x_1)) = x_1
   POL(2_{2_1}(x_1)) = x_1
   POL(2_{3_1}(x_1)) = x_1
   POL(2_{4_1}(x_1)) = x_1
   POL(2_{5_1}(x_1)) = x_1
   POL(3_{0_1}(x_1)) = 1 + x_1
   POL(3_{1_1}(x_1)) = x_1
   POL(3_{2_1}(x_1)) = x_1
   POL(3_{3_1}(x_1)) = x_1
   POL(3_{4_1}(x_1)) = x_1
   POL(3_{5_1}(x_1)) = x_1
   POL(4_{0_1}(x_1)) = x_1
   POL(4_{1_1}(x_1)) = x_1
   POL(4_{2_1}(x_1)) = x_1
   POL(4_{3_1}(x_1)) = x_1
   POL(4_{4_1}(x_1)) = x_1
   POL(4_{5_1}(x_1)) = x_1
   POL(5_{0_1}(x_1)) = 1 + x_1
   POL(5_{1_1}(x_1)) = 1 + x_1
   POL(5_{2_1}(x_1)) = x_1
   POL(5_{3_1}(x_1)) = x_1
   POL(5_{4_1}(x_1)) = x_1
   POL(5_{5_1}(x_1)) = x_1
With this ordering the following rules can be removed [MATRO] because they are oriented strictly:
Rules from R:

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

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




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

(12)
Obligation:
Relative term rewrite system:
The relative TRS consists of the following R rules:

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

The relative TRS consists of the following S rules:

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


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(13) 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(0_{3_1}(x_1)) = x_1
   POL(0_{4_1}(x_1)) = 1 + x_1
   POL(0_{5_1}(x_1)) = x_1
   POL(1_{0_1}(x_1)) = x_1
   POL(1_{1_1}(x_1)) = x_1
   POL(1_{2_1}(x_1)) = 1 + x_1
   POL(1_{3_1}(x_1)) = x_1
   POL(1_{4_1}(x_1)) = x_1
   POL(1_{5_1}(x_1)) = x_1
   POL(2_{0_1}(x_1)) = x_1
   POL(2_{1_1}(x_1)) = x_1
   POL(2_{2_1}(x_1)) = x_1
   POL(2_{3_1}(x_1)) = x_1
   POL(2_{4_1}(x_1)) = x_1
   POL(2_{5_1}(x_1)) = x_1
   POL(3_{0_1}(x_1)) = x_1
   POL(3_{1_1}(x_1)) = 1 + x_1
   POL(3_{2_1}(x_1)) = x_1
   POL(3_{3_1}(x_1)) = x_1
   POL(3_{4_1}(x_1)) = x_1
   POL(3_{5_1}(x_1)) = 1 + x_1
   POL(4_{0_1}(x_1)) = 1 + x_1
   POL(4_{1_1}(x_1)) = 1 + x_1
   POL(4_{2_1}(x_1)) = 1 + x_1
   POL(4_{3_1}(x_1)) = x_1
   POL(4_{4_1}(x_1)) = 1 + x_1
   POL(4_{5_1}(x_1)) = x_1
   POL(5_{0_1}(x_1)) = 1 + x_1
   POL(5_{1_1}(x_1)) = x_1
   POL(5_{2_1}(x_1)) = x_1
   POL(5_{3_1}(x_1)) = x_1
   POL(5_{4_1}(x_1)) = x_1
   POL(5_{5_1}(x_1)) = x_1
With this ordering the following rules can be removed [MATRO] because they are oriented strictly:
Rules from R:

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

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




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

(14)
Obligation:
Relative term rewrite system:
The relative TRS consists of the following R rules:

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

The relative TRS consists of the following S rules:

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


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

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

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

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

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




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

(16)
Obligation:
Relative term rewrite system:
The relative TRS consists of the following R rules:

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

S is empty.

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

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

(18)
Obligation:
Q restricted rewrite system:
The TRS R consists of the following rules:

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

Q is empty.

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

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

The certificate found is represented by the following graph.
The certificate consists of the following enumerated nodes:
2603, 2604, 2605, 2606, 2607, 2608, 2609, 2610, 2611, 2612, 2613, 2614, 2615, 2616, 2617, 2618, 2619, 2620, 2621, 2622, 2623, 2624, 2625, 2626, 2627, 2628, 2629, 2630, 2631, 2632, 2633, 2634, 2635, 2636, 2637, 2638, 2639, 2640, 2641, 2642, 2643, 2644, 2645, 2646, 2647, 2648, 2649, 2650, 2651, 2652, 2653, 2654, 2655, 2656, 2657, 2658, 2659, 2660, 2661, 2662, 2663, 2664, 2665, 2666, 2667, 2668, 2669, 2670, 2671, 2672, 2673, 2674, 2675, 2676, 2677, 2678, 2679

Node 2603 is start node and node 2604 is final node.

Those nodes are connected through the following edges:

* 2603 to 2605 labelled 1_{5_1}_1(0)* 2603 to 2614 labelled 5_{5_1}_1(0)* 2603 to 2623 labelled 5_{3_1}_1(0)* 2603 to 2632 labelled 3_{5_1}_1(0), 2_{5_1}_1(0)* 2603 to 2642 labelled 1_{2_1}_1(0)* 2603 to 2652 labelled 5_{1_1}_1(0)* 2604 to 2604 labelled #_1(0)* 2605 to 2606 labelled 5_{3_1}_1(0)* 2606 to 2607 labelled 3_{4_1}_1(0)* 2607 to 2608 labelled 4_{5_1}_1(0)* 2608 to 2609 labelled 5_{4_1}_1(0)* 2609 to 2610 labelled 4_{3_1}_1(0)* 2610 to 2611 labelled 3_{0_1}_1(0)* 2611 to 2612 labelled 0_{0_1}_1(0)* 2612 to 2613 labelled 0_{0_1}_1(0)* 2613 to 2604 labelled 0_{5_1}_1(0), 0_{1_1}_1(0), 0_{0_1}_1(0), 0_{3_1}_1(0), 0_{4_1}_1(0), 0_{2_1}_1(0)* 2614 to 2615 labelled 5_{3_1}_1(0)* 2615 to 2616 labelled 3_{2_1}_1(0)* 2616 to 2617 labelled 2_{1_1}_1(0)* 2617 to 2618 labelled 1_{1_1}_1(0)* 2618 to 2619 labelled 1_{2_1}_1(0)* 2619 to 2620 labelled 2_{1_1}_1(0)* 2620 to 2621 labelled 1_{4_1}_1(0)* 2621 to 2622 labelled 4_{5_1}_1(0)* 2622 to 2604 labelled 5_{0_1}_1(0)* 2622 to 2662 labelled 5_{3_1}_1(1)* 2623 to 2624 labelled 3_{2_1}_1(0)* 2624 to 2625 labelled 2_{2_1}_1(0)* 2625 to 2626 labelled 2_{5_1}_1(0)* 2626 to 2627 labelled 5_{2_1}_1(0)* 2627 to 2628 labelled 2_{4_1}_1(0)* 2628 to 2629 labelled 4_{3_1}_1(0)* 2629 to 2630 labelled 3_{5_1}_1(0)* 2630 to 2631 labelled 5_{5_1}_1(0)* 2631 to 2604 labelled 5_{1_1}_1(0)* 2631 to 2671 labelled 5_{5_1}_1(1)* 2632 to 2633 labelled 5_{2_1}_1(0)* 2633 to 2634 labelled 2_{5_1}_1(0)* 2634 to 2635 labelled 5_{2_1}_1(0)* 2635 to 2636 labelled 2_{1_1}_1(0)* 2636 to 2637 labelled 1_{5_1}_1(0)* 2637 to 2638 labelled 5_{3_1}_1(0)* 2638 to 2639 labelled 3_{4_1}_1(0)* 2639 to 2640 labelled 4_{2_1}_1(0)* 2640 to 2641 labelled 2_{0_1}_1(0)* 2641 to 2604 labelled 0_{4_1}_1(0)* 2642 to 2643 labelled 2_{2_1}_1(0)* 2643 to 2644 labelled 2_{1_1}_1(0)* 2644 to 2645 labelled 1_{4_1}_1(0)* 2645 to 2646 labelled 4_{5_1}_1(0)* 2646 to 2647 labelled 5_{5_1}_1(0)* 2647 to 2648 labelled 5_{4_1}_1(0)* 2648 to 2649 labelled 4_{5_1}_1(0)* 2649 to 2650 labelled 5_{4_1}_1(0)* 2650 to 2651 labelled 4_{4_1}_1(0)* 2651 to 2604 labelled 4_{5_1}_1(0), 4_{1_1}_1(0), 4_{0_1}_1(0), 4_{3_1}_1(0), 4_{4_1}_1(0), 4_{2_1}_1(0)* 2652 to 2653 labelled 1_{1_1}_1(0)* 2653 to 2654 labelled 1_{1_1}_1(0)* 2654 to 2655 labelled 1_{1_1}_1(0)* 2655 to 2656 labelled 1_{1_1}_1(0)* 2656 to 2657 labelled 1_{4_1}_1(0)* 2657 to 2658 labelled 4_{3_1}_1(0)* 2658 to 2659 labelled 3_{3_1}_1(0)* 2659 to 2660 labelled 3_{1_1}_1(0)* 2660 to 2661 labelled 1_{4_1}_1(0)* 2661 to 2604 labelled 4_{5_1}_1(0), 4_{1_1}_1(0), 4_{0_1}_1(0), 4_{3_1}_1(0), 4_{4_1}_1(0), 4_{2_1}_1(0)* 2662 to 2663 labelled 3_{2_1}_1(1)* 2663 to 2664 labelled 2_{2_1}_1(1)* 2664 to 2665 labelled 2_{5_1}_1(1)* 2665 to 2666 labelled 5_{2_1}_1(1)* 2666 to 2667 labelled 2_{4_1}_1(1)* 2667 to 2668 labelled 4_{3_1}_1(1)* 2668 to 2669 labelled 3_{5_1}_1(1)* 2669 to 2670 labelled 5_{5_1}_1(1)* 2670 to 2604 labelled 5_{1_1}_1(1)* 2670 to 2671 labelled 5_{5_1}_1(1)* 2671 to 2672 labelled 5_{3_1}_1(1)* 2672 to 2673 labelled 3_{2_1}_1(1)* 2673 to 2674 labelled 2_{1_1}_1(1)* 2674 to 2675 labelled 1_{1_1}_1(1)* 2675 to 2676 labelled 1_{2_1}_1(1)* 2676 to 2677 labelled 2_{1_1}_1(1)* 2677 to 2678 labelled 1_{4_1}_1(1)* 2678 to 2679 labelled 4_{5_1}_1(1)* 2679 to 2604 labelled 5_{0_1}_1(1)* 2679 to 2662 labelled 5_{3_1}_1(1)


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(20)
YES