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


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


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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty


Termination of the given RelTRS could be proven:

(0) RelTRS
(1) RelTRS Reverse [EQUIVALENT, 0 ms]
(2) RelTRS
(3) FlatCCProof [EQUIVALENT, 140 ms]
(4) RelTRS
(5) RootLabelingProof [EQUIVALENT, 2426 ms]
(6) RelTRS
(7) RelTRSRRRProof [EQUIVALENT, 2070 ms]
(8) RelTRS
(9) RelTRSRRRProof [EQUIVALENT, 363 ms]
(10) RelTRS
(11) RelTRSRRRProof [EQUIVALENT, 157 ms]
(12) RelTRS
(13) RelTRSRRRProof [EQUIVALENT, 0 ms]
(14) RelTRS
(15) RelTRSRRRProof [EQUIVALENT, 0 ms]
(16) RelTRS
(17) RelTRSRRRProof [EQUIVALENT, 22 ms]
(18) RelTRS
(19) SIsEmptyProof [EQUIVALENT, 0 ms]
(20) QTRS
(21) RFCMatchBoundsTRSProof [EQUIVALENT, 11 ms]
(22) YES


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

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

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

The relative TRS consists of the following S rules:

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


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

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

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

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

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


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

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

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

The relative TRS consists of the following S rules:

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

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

The relative TRS consists of the following S rules:

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

   3_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(x1))))) -> 3_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(x1))))))))))
   3_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(x1))))) -> 3_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{5_1}(x1))))))))))
   3_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(x1))))) -> 3_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(x1))))))))))
   3_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{4_1}(x1))))) -> 3_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(x1))))))))))
   3_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(x1))))) -> 3_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(x1))))))))))
   3_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{2_1}(x1))))) -> 3_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(x1))))))))))
   2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(x1)))))) -> 2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(x1))))))))))
   2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(x1)))))) -> 2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{5_1}(x1))))))))))
   2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{0_1}(x1))))))))))
   2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(x1)))))) -> 2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(x1))))))))))
   2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(x1))))))))))
   2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(3_{2_1}(x1))))))))))
   1_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(x1)))))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(x1))))))))))
   1_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(x1)))))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{5_1}(x1))))))))))
   1_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(x1))))))))))
   1_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(x1)))))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{4_1}(x1))))))))))
   1_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{1_1}(x1))))))))))
   1_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(x1))))))))))
   0_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(x1)))))) -> 0_{3_1}(3_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(x1))))))))))
   0_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(x1)))))) -> 0_{3_1}(3_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(x1))))))))))
   0_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{1_1}(1_{0_1}(x1)))))) -> 0_{3_1}(3_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(x1))))))))))
   0_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(x1)))))) -> 0_{3_1}(3_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(x1))))))))))
   0_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{1_1}(1_{1_1}(x1)))))) -> 0_{3_1}(3_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(x1))))))))))
   0_{3_1}(3_{5_1}(5_{4_1}(4_{3_1}(3_{1_1}(1_{2_1}(x1)))))) -> 0_{3_1}(3_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(x1))))))))))
   1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(x1)))))) -> 1_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(x1))))))))))
   1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{5_1}(x1)))))) -> 1_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(x1))))))))))
   1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{0_1}(x1)))))) -> 1_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(x1))))))))))
   1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{4_1}(x1)))))) -> 1_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{4_1}(x1))))))))))
   1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(x1)))))) -> 1_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(x1))))))))))
   1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(x1)))))) -> 1_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(x1))))))))))
   0_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1))))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(x1))))))))))
   0_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1))))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(x1))))))))))
   0_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1))))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(x1))))))))))
   0_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1))))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(x1))))))))))
   0_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1))))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{1_1}(x1))))))))))
   0_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1))))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(x1))))))))))
   1_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1))))))) -> 1_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(x1))))))))))
   1_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1))))))) -> 1_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(x1))))))))))
   1_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))))) -> 1_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(x1))))))))))
   1_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1))))))) -> 1_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(x1))))))))))
   1_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))))) -> 1_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(x1))))))))))
   1_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))))) -> 1_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(x1))))))))))
   2_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{3_1}(x1))))))))))
   2_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{5_1}(x1))))))))))
   2_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(x1))))))))))
   2_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{4_1}(x1))))))))))
   2_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(x1))))))))))
   2_{0_1}(0_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(x1))))))))))
   1_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(x1))))))) -> 1_{1_1}(1_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(x1))))))))))
   1_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(x1))))))) -> 1_{1_1}(1_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(5_{2_1}(2_{5_1}(x1))))))))))
   1_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{0_1}(x1))))))) -> 1_{1_1}(1_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(5_{2_1}(2_{0_1}(x1))))))))))
   1_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(x1))))))) -> 1_{1_1}(1_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(5_{2_1}(2_{4_1}(x1))))))))))
   1_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(x1))))))) -> 1_{1_1}(1_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(5_{2_1}(2_{1_1}(x1))))))))))
   1_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{2_1}(x1))))))) -> 1_{1_1}(1_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(5_{2_1}(2_{2_1}(x1))))))))))
   5_{0_1}(0_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1))))))))))
   5_{0_1}(0_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1))))))))))
   5_{0_1}(0_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1))))))))))
   5_{0_1}(0_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1))))))))))
   5_{0_1}(0_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1))))))))))
   5_{0_1}(0_{4_1}(4_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1))))))))))
   5_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 5_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))
   5_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 5_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))
   5_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 5_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))
   5_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 5_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))
   5_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 5_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))
   5_{1_1}(1_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 5_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))
   3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(5_{3_1}(x1))))))))))
   3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(5_{5_1}(x1))))))))))
   3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(x1))))))))))
   3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(x1))))))))))
   3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(5_{1_1}(x1))))))))))
   3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{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_{0_1}(0_{3_1}(3_{5_1}(5_{0_1}(0_{3_1}(x1))))))) -> 5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(x1))))))))))
   5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(x1))))))) -> 5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(x1))))))))))
   5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(x1))))))) -> 5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(x1))))))))))
   5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{0_1}(0_{4_1}(x1))))))) -> 5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(x1))))))))))
   5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(x1))))))) -> 5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(x1))))))))))
   5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{0_1}(0_{2_1}(x1))))))) -> 5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(x1))))))))))
   1_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(x1))))))) -> 1_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))
   1_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(x1))))))) -> 1_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))
   1_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x1))))))) -> 1_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))
   1_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(x1))))))) -> 1_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))
   1_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x1))))))) -> 1_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))
   1_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x1))))))) -> 1_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))
   5_{2_1}(2_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{3_1}(x1))))))) -> 5_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(x1))))))))))
   5_{2_1}(2_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{5_1}(x1))))))) -> 5_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{5_1}(x1))))))))))
   5_{2_1}(2_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(x1))))))) -> 5_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(x1))))))))))
   5_{2_1}(2_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(x1))))))) -> 5_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(x1))))))))))
   5_{2_1}(2_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{1_1}(x1))))))) -> 5_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{1_1}(x1))))))))))
   5_{2_1}(2_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(x1))))))) -> 5_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(x1))))))))))
   0_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(x1))))))) -> 0_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(x1))))))))))
   0_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(x1))))))) -> 0_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(x1))))))))))
   0_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(x1))))))) -> 0_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(x1))))))))))
   0_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{4_1}(x1))))))) -> 0_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(x1))))))))))
   0_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(x1))))))) -> 0_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(x1))))))))))
   0_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(x1))))))) -> 0_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{3_1}(3_{2_1}(x1))))))))))
   3_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1))))))) -> 3_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(x1))))))))))
   3_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1))))))) -> 3_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(x1))))))))))
   3_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1))))))) -> 3_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(x1))))))))))
   3_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1))))))) -> 3_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{4_1}(x1))))))))))
   3_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1))))))) -> 3_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(x1))))))))))
   3_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1))))))) -> 3_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(x1))))))))))
   2_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{3_1}(x1))))))) -> 2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(x1))))))))))
   2_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(x1))))))) -> 2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(x1))))))))))
   2_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(x1))))))) -> 2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(x1))))))))))
   2_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{4_1}(x1))))))) -> 2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(x1))))))))))
   2_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{1_1}(x1))))))) -> 2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(x1))))))))))
   2_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{2_1}(2_{2_1}(x1))))))) -> 2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(x1))))))))))
   1_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(x1))))))) -> 1_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(x1))))))))))
   1_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(x1))))))) -> 1_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(x1))))))))))
   1_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(x1))))))) -> 1_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(x1))))))))))
   1_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{4_1}(x1))))))) -> 1_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(x1))))))))))
   1_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(x1))))))) -> 1_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(x1))))))))))
   1_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(x1))))))) -> 1_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(x1))))))))))
   5_{1_1}(1_{5_1}(5_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))) -> 5_{4_1}(4_{4_1}(4_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1))))))))))
   5_{1_1}(1_{5_1}(5_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))) -> 5_{4_1}(4_{4_1}(4_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1))))))))))
   5_{1_1}(1_{5_1}(5_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))) -> 5_{4_1}(4_{4_1}(4_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1))))))))))
   5_{1_1}(1_{5_1}(5_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))) -> 5_{4_1}(4_{4_1}(4_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1))))))))))
   5_{1_1}(1_{5_1}(5_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))) -> 5_{4_1}(4_{4_1}(4_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1))))))))))
   5_{1_1}(1_{5_1}(5_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))) -> 5_{4_1}(4_{4_1}(4_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1))))))))))
   3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(x1))))))) -> 3_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(x1))))))))))
   3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(x1))))))) -> 3_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(x1))))))))))
   3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(x1))))))) -> 3_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(3_{0_1}(x1))))))))))
   3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(x1))))))) -> 3_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(x1))))))))))
   3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(x1))))))) -> 3_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(3_{1_1}(x1))))))))))
   3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(x1))))))) -> 3_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(x1))))))))))
   5_{2_1}(2_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(x1))))))) -> 5_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{3_1}(x1))))))))))
   5_{2_1}(2_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{5_1}(x1))))))) -> 5_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(x1))))))))))
   5_{2_1}(2_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(x1))))))) -> 5_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{0_1}(x1))))))))))
   5_{2_1}(2_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(x1))))))) -> 5_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(x1))))))))))
   5_{2_1}(2_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(x1))))))) -> 5_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(x1))))))))))
   5_{2_1}(2_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(x1))))))) -> 5_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(x1))))))))))
   2_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(x1))))))))))
   2_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(x1))))))))))
   2_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{0_1}(x1))))))))))
   2_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(x1))))))))))
   2_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(x1))))))))))
   2_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(x1))))))))))
   0_{5_1}(5_{1_1}(1_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1))))))) -> 0_{3_1}(3_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(x1))))))))))
   0_{5_1}(5_{1_1}(1_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1))))))) -> 0_{3_1}(3_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(x1))))))))))
   0_{5_1}(5_{1_1}(1_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1))))))) -> 0_{3_1}(3_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{0_1}(x1))))))))))
   0_{5_1}(5_{1_1}(1_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1))))))) -> 0_{3_1}(3_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(x1))))))))))
   0_{5_1}(5_{1_1}(1_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1))))))) -> 0_{3_1}(3_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(x1))))))))))
   0_{5_1}(5_{1_1}(1_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1))))))) -> 0_{3_1}(3_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(x1))))))))))
   1_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{3_1}(x1))))))) -> 1_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{3_1}(x1))))))))))
   1_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(x1))))))) -> 1_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{5_1}(x1))))))))))
   1_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(x1))))))) -> 1_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(x1))))))))))
   1_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{4_1}(x1))))))) -> 1_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{4_1}(x1))))))))))
   1_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(x1))))))) -> 1_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{1_1}(x1))))))))))
   1_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(x1))))))) -> 1_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{2_1}(x1))))))))))
   1_{4_1}(4_{3_1}(3_{5_1}(5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(x1))))))) -> 1_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))
   1_{4_1}(4_{3_1}(3_{5_1}(5_{1_1}(1_{5_1}(5_{4_1}(4_{5_1}(x1))))))) -> 1_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))
   1_{4_1}(4_{3_1}(3_{5_1}(5_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(x1))))))) -> 1_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))
   1_{4_1}(4_{3_1}(3_{5_1}(5_{1_1}(1_{5_1}(5_{4_1}(4_{4_1}(x1))))))) -> 1_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))
   1_{4_1}(4_{3_1}(3_{5_1}(5_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(x1))))))) -> 1_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))
   1_{4_1}(4_{3_1}(3_{5_1}(5_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(x1))))))) -> 1_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))
   4_{0_1}(0_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(x1))))))) -> 4_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(x1))))))))))
   4_{0_1}(0_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{5_1}(x1))))))) -> 4_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{5_1}(x1))))))))))
   4_{0_1}(0_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{0_1}(x1))))))) -> 4_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{0_1}(x1))))))))))
   4_{0_1}(0_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{4_1}(x1))))))) -> 4_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{4_1}(x1))))))))))
   4_{0_1}(0_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(x1))))))) -> 4_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(x1))))))))))
   4_{0_1}(0_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(5_{2_1}(x1))))))) -> 4_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(5_{2_1}(x1))))))))))
   5_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(x1))))))) -> 5_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))
   5_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(x1))))))) -> 5_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))
   5_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(x1))))))) -> 5_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))
   5_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(x1))))))) -> 5_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))
   5_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(x1))))))) -> 5_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))
   5_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{2_1}(x1))))))) -> 5_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))
   3_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))
   3_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{5_1}(5_{5_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))
   3_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{5_1}(5_{0_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))
   3_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))
   3_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))
   3_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{5_1}(5_{2_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))
   4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(x1))))))) -> 4_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1))))))))))
   4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{5_1}(x1))))))) -> 4_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1))))))))))
   4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{0_1}(x1))))))) -> 4_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1))))))))))
   4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{4_1}(x1))))))) -> 4_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1))))))))))
   4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(x1))))))) -> 4_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1))))))))))
   4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(x1))))))) -> 4_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1))))))))))
   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(x1))))))) -> 2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{3_1}(x1))))))))))
   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{5_1}(x1))))))) -> 2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(x1))))))))))
   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{0_1}(x1))))))) -> 2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{0_1}(x1))))))))))
   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{4_1}(x1))))))) -> 2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(x1))))))))))
   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(x1))))))) -> 2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{1_1}(x1))))))))))
   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(x1))))))) -> 2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(x1))))))))))
   4_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{3_1}(x1))))))) -> 4_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(x1))))))))))
   4_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{5_1}(x1))))))) -> 4_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{0_1}(0_{5_1}(x1))))))))))
   4_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{0_1}(x1))))))) -> 4_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(x1))))))))))
   4_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{4_1}(x1))))))) -> 4_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{0_1}(0_{4_1}(x1))))))))))
   4_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{1_1}(x1))))))) -> 4_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{0_1}(0_{1_1}(x1))))))))))
   4_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(5_{2_1}(x1))))))) -> 4_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(x1))))))))))
   0_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{5_1}(5_{3_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(x1))))))))))
   0_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{5_1}(5_{5_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(x1))))))))))
   0_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{5_1}(5_{0_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{0_1}(x1))))))))))
   0_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{4_1}(x1))))))))))
   0_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{1_1}(x1))))))))))
   0_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{5_1}(5_{2_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(x1))))))))))
   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(x1))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(x1))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{5_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x1))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{0_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{2_1}(2_{4_1}(x1))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x1))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x1))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(x1))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(x1))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{5_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x1))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{0_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{2_1}(2_{4_1}(x1))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x1))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x1))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(x1))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(x1))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{5_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x1))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{0_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{2_1}(2_{4_1}(x1))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x1))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x1))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(x1)))))))))))
   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(x1))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(x1)))))))))))
   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(x1))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{5_1}(x1)))))))))))
   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x1))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{0_1}(x1)))))))))))
   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{2_1}(2_{4_1}(x1))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(x1)))))))))))
   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x1))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(x1)))))))))))
   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x1))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(x1)))))))))))
   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(x1))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(x1)))))))))))
   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(x1))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{5_1}(x1)))))))))))
   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x1))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{0_1}(x1)))))))))))
   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{2_1}(2_{4_1}(x1))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(x1)))))))))))
   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x1))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(x1)))))))))))
   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x1))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(x1))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(x1))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{5_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x1))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{0_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{2_1}(2_{4_1}(x1))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{4_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x1))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x1))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))))) -> 3_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))))) -> 3_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))))) -> 3_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))))) -> 3_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))))) -> 3_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))))) -> 3_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))))) -> 5_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))))) -> 5_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))))) -> 5_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))))) -> 5_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))))) -> 5_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))))) -> 5_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))))) -> 0_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))))) -> 0_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))))) -> 0_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))))) -> 0_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))))) -> 0_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))))) -> 0_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))
   4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))))) -> 4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))
   4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))))) -> 4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))
   4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))))) -> 4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))
   4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))))) -> 4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))
   4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))))) -> 4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))
   4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))))) -> 4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))
   1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))))) -> 1_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))
   1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))))) -> 1_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))
   1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))))) -> 1_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))
   1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))))) -> 1_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))
   1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))))) -> 1_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))
   1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))))) -> 1_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))))) -> 2_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))))) -> 2_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))))) -> 2_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))))) -> 2_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))))) -> 2_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))))) -> 2_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))
   3_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(x1))))))) -> 3_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(x1)))))))))))
   3_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{5_1}(x1))))))) -> 3_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   3_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{0_1}(x1))))))) -> 3_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   3_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{4_1}(x1))))))) -> 3_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   3_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(x1))))))) -> 3_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
   3_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{2_1}(x1))))))) -> 3_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(x1)))))))))))
   5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(x1))))))) -> 5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(x1)))))))))))
   5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{5_1}(x1))))))) -> 5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{0_1}(x1))))))) -> 5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{4_1}(x1))))))) -> 5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(x1))))))) -> 5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
   5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{2_1}(x1))))))) -> 5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(x1)))))))))))
   0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(x1))))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(x1)))))))))))
   0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{5_1}(x1))))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{0_1}(x1))))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{4_1}(x1))))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(x1))))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
   0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{2_1}(x1))))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(x1)))))))))))
   4_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(x1))))))) -> 4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(x1)))))))))))
   4_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{5_1}(x1))))))) -> 4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   4_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{0_1}(x1))))))) -> 4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   4_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{4_1}(x1))))))) -> 4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   4_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(x1))))))) -> 4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
   4_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{2_1}(x1))))))) -> 4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(x1)))))))))))
   1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(x1))))))) -> 1_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(x1)))))))))))
   1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{5_1}(x1))))))) -> 1_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{0_1}(x1))))))) -> 1_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{4_1}(x1))))))) -> 1_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(x1))))))) -> 1_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
   1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{2_1}(x1))))))) -> 1_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(x1)))))))))))
   2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(x1))))))) -> 2_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(x1)))))))))))
   2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{5_1}(x1))))))) -> 2_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{0_1}(x1))))))) -> 2_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{4_1}(x1))))))) -> 2_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(x1))))))) -> 2_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
   2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{2_1}(x1))))))) -> 2_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(x1)))))))))))
   3_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(x1)))))))))))
   3_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(x1)))))))))))
   3_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(3_{0_1}(x1)))))))))))
   3_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(3_{4_1}(x1)))))))))))
   3_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(3_{1_1}(x1)))))))))))
   3_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(x1)))))))))))
   5_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(x1)))))))))))
   5_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(x1)))))))))))
   5_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(3_{0_1}(x1)))))))))))
   5_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(3_{4_1}(x1)))))))))))
   5_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(3_{1_1}(x1)))))))))))
   5_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(x1)))))))))))
   0_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(x1)))))))))))
   0_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(x1)))))))))))
   0_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(3_{0_1}(x1)))))))))))
   0_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(3_{4_1}(x1)))))))))))
   0_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(3_{1_1}(x1)))))))))))
   0_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(x1)))))))))))
   4_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(x1)))))))))))
   4_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(x1)))))))))))
   4_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(3_{0_1}(x1)))))))))))
   4_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(3_{4_1}(x1)))))))))))
   4_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(3_{1_1}(x1)))))))))))
   4_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(x1)))))))))))
   1_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(x1)))))))))))
   1_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(x1)))))))))))
   1_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(3_{0_1}(x1)))))))))))
   1_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(3_{4_1}(x1)))))))))))
   1_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(3_{1_1}(x1)))))))))))
   1_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(x1)))))))))))
   2_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(x1)))))))))))
   2_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(x1)))))))))))
   2_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(3_{0_1}(x1)))))))))))
   2_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(3_{4_1}(x1)))))))))))
   2_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(3_{1_1}(x1)))))))))))
   2_{2_1}(2_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(x1)))))))))))
   3_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   3_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   3_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   3_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   3_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   3_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   0_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   0_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   0_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   0_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   0_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   0_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   4_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   4_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   4_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   4_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   4_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   4_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   1_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   1_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   1_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   1_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   1_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   1_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   2_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   2_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   2_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   2_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   2_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   2_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   3_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))))) -> 3_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   3_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))))) -> 3_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   3_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))))) -> 3_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   3_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))))) -> 3_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   3_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))))) -> 3_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   3_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))))) -> 3_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   5_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   5_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   5_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   5_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   5_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   5_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   0_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   0_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   0_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   0_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   0_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   0_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   4_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   4_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   4_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   4_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   4_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   4_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   1_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   1_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   1_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   1_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   1_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   1_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   2_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   2_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   2_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   2_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   2_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   2_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   3_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))) -> 3_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{3_1}(x1)))))))))))
   3_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))) -> 3_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{5_1}(x1)))))))))))
   3_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))) -> 3_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(x1)))))))))))
   3_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))) -> 3_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(x1)))))))))))
   3_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))) -> 3_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(x1)))))))))))
   3_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))) -> 3_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(x1)))))))))))
   5_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))) -> 5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{3_1}(x1)))))))))))
   5_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))) -> 5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{5_1}(x1)))))))))))
   5_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))) -> 5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(x1)))))))))))
   5_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))) -> 5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(x1)))))))))))
   5_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))) -> 5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(x1)))))))))))
   5_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))) -> 5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(x1)))))))))))
   0_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{3_1}(x1)))))))))))
   0_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{5_1}(x1)))))))))))
   0_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(x1)))))))))))
   0_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(x1)))))))))))
   0_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(x1)))))))))))
   0_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(x1)))))))))))
   4_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))) -> 4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{3_1}(x1)))))))))))
   4_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))) -> 4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{5_1}(x1)))))))))))
   4_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))) -> 4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(x1)))))))))))
   4_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))) -> 4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(x1)))))))))))
   4_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))) -> 4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(x1)))))))))))
   4_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))) -> 4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(x1)))))))))))
   1_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))) -> 1_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{3_1}(x1)))))))))))
   1_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))) -> 1_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{5_1}(x1)))))))))))
   1_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))) -> 1_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(x1)))))))))))
   1_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))) -> 1_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(x1)))))))))))
   1_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))) -> 1_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(x1)))))))))))
   1_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))) -> 1_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(x1)))))))))))
   2_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))) -> 2_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{3_1}(x1)))))))))))
   2_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))) -> 2_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{5_1}(x1)))))))))))
   2_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))) -> 2_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(x1)))))))))))
   2_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))) -> 2_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(x1)))))))))))
   2_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))) -> 2_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(x1)))))))))))
   2_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))) -> 2_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(x1)))))))))))
   3_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1)))))))))))
   3_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1)))))))))))
   3_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{0_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1)))))))))))
   3_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1)))))))))))
   3_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{1_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1)))))))))))
   3_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{2_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1)))))))))))
   5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1)))))))))))
   5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1)))))))))))
   5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{0_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1)))))))))))
   5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1)))))))))))
   5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{1_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1)))))))))))
   5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{2_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1)))))))))))
   0_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1)))))))))))
   0_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1)))))))))))
   0_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{0_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1)))))))))))
   0_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1)))))))))))
   0_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{1_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1)))))))))))
   0_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{2_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1)))))))))))
   4_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1)))))))))))
   4_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1)))))))))))
   4_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{0_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1)))))))))))
   4_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1)))))))))))
   4_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{1_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1)))))))))))
   4_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{2_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1)))))))))))
   1_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1)))))))))))
   1_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1)))))))))))
   1_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{0_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1)))))))))))
   1_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1)))))))))))
   1_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{1_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1)))))))))))
   1_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{2_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1)))))))))))
   2_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1)))))))))))
   2_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1)))))))))))
   2_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{0_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1)))))))))))
   2_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1)))))))))))
   2_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{1_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1)))))))))))
   2_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{2_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1)))))))))))
   3_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(x1)))))))))))
   3_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{5_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(x1)))))))))))
   3_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(x1)))))))))))
   3_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(x1)))))))))))
   3_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(x1)))))))))))
   3_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(x1)))))))))))
   5_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(x1)))))))))))
   5_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{5_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(x1)))))))))))
   5_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(x1)))))))))))
   5_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(x1)))))))))))
   5_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(x1)))))))))))
   5_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(x1)))))))))))
   0_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(x1)))))))))))
   0_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{5_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(x1)))))))))))
   0_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(x1)))))))))))
   0_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(x1)))))))))))
   0_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(x1)))))))))))
   0_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(x1)))))))))))
   4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(x1)))))))))))
   4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{5_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(x1)))))))))))
   4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(x1)))))))))))
   4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(x1)))))))))))
   4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(x1)))))))))))
   4_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(x1)))))))) -> 4_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(x1)))))))))))
   1_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(x1)))))))))))
   1_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{5_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(x1)))))))))))
   1_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(x1)))))))))))
   1_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(x1)))))))))))
   1_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(x1)))))))))))
   1_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(x1)))))))) -> 1_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(x1)))))))))))
   2_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(x1)))))))))))
   2_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{5_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(x1)))))))))))
   2_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(x1)))))))))))
   2_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(x1)))))))))))
   2_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(x1)))))))))))
   2_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(x1)))))))))))
   3_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   3_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   3_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   3_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{4_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   3_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   3_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   5_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   5_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   5_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   5_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{4_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   5_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   5_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   0_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   0_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   0_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   0_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{4_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   0_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   0_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   4_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   4_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   4_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   4_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{4_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   4_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   4_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   1_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   1_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   1_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   1_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{4_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   1_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   1_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{4_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{3_1}(x1)))))))) -> 3_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{5_1}(x1)))))))) -> 3_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(x1)))))))) -> 3_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{4_1}(x1)))))))) -> 3_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(x1)))))))) -> 3_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(x1)))))))) -> 3_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{2_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{3_1}(x1)))))))) -> 5_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{5_1}(x1)))))))) -> 5_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(x1)))))))) -> 5_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{4_1}(x1)))))))) -> 5_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(x1)))))))) -> 5_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(x1)))))))) -> 5_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{2_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{3_1}(x1)))))))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{5_1}(x1)))))))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(x1)))))))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{4_1}(x1)))))))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(x1)))))))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(x1)))))))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{2_1}(x1)))))))))))
   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{3_1}(x1)))))))) -> 4_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(x1)))))))))))
   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{5_1}(x1)))))))) -> 4_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(x1)))))))) -> 4_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{4_1}(x1)))))))) -> 4_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(x1)))))))) -> 4_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(x1)))))))) -> 4_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{2_1}(x1)))))))))))
   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{3_1}(x1)))))))) -> 1_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(x1)))))))))))
   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{5_1}(x1)))))))) -> 1_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(x1)))))))) -> 1_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{4_1}(x1)))))))) -> 1_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(x1)))))))) -> 1_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(x1)))))))) -> 1_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{2_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{3_1}(x1)))))))) -> 2_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{3_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{5_1}(x1)))))))) -> 2_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(x1)))))))) -> 2_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{4_1}(x1)))))))) -> 2_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(x1)))))))) -> 2_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(x1)))))))) -> 2_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{2_1}(x1)))))))))))
   3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1)))))))))))
   3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1)))))))))))
   3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1)))))))))))
   3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1)))))))))))
   3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{1_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1)))))))))))
   3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1)))))))))))
   5_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1)))))))))))
   5_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1)))))))))))
   5_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1)))))))))))
   5_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1)))))))))))
   5_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{1_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1)))))))))))
   5_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1)))))))))))
   0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1)))))))))))
   0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1)))))))))))
   0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1)))))))))))
   0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1)))))))))))
   0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{1_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1)))))))))))
   0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1)))))))))))
   4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1)))))))))))
   4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1)))))))))))
   4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1)))))))))))
   4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1)))))))))))
   4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{1_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1)))))))))))
   4_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1)))))))))))
   1_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1)))))))))))
   1_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1)))))))))))
   1_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1)))))))))))
   1_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1)))))))))))
   1_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{1_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1)))))))))))
   1_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1)))))))))))
   2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1)))))))))))
   2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1)))))))))))
   2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1)))))))))))
   2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1)))))))))))
   2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{1_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1)))))))))))
   2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1)))))))))))
   3_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(x1)))))))) -> 3_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(x1)))))))))))
   3_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(x1)))))))) -> 3_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(x1)))))))))))
   3_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(x1)))))))) -> 3_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(x1)))))))))))
   3_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(x1)))))))) -> 3_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(x1)))))))))))
   3_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(x1)))))))) -> 3_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{1_1}(x1)))))))))))
   3_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{2_1}(x1)))))))) -> 3_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{2_1}(x1)))))))))))
   5_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(x1)))))))) -> 5_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(x1)))))))))))
   5_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(x1)))))))) -> 5_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(x1)))))))))))
   5_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(x1)))))))) -> 5_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(x1)))))))))))
   5_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(x1)))))))) -> 5_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(x1)))))))))))
   5_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(x1)))))))) -> 5_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{1_1}(x1)))))))))))
   5_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{2_1}(x1)))))))) -> 5_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{2_1}(x1)))))))))))
   0_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(x1)))))))) -> 0_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(x1)))))))))))
   0_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(x1)))))))) -> 0_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(x1)))))))))))
   0_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(x1)))))))) -> 0_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(x1)))))))))))
   0_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(x1)))))))) -> 0_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(x1)))))))))))
   0_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(x1)))))))) -> 0_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{1_1}(x1)))))))))))
   0_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{2_1}(x1)))))))) -> 0_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{2_1}(x1)))))))))))
   4_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(x1)))))))) -> 4_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(x1)))))))))))
   4_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(x1)))))))) -> 4_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(x1)))))))))))
   4_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(x1)))))))) -> 4_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(x1)))))))))))
   4_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(x1)))))))) -> 4_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(x1)))))))))))
   4_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(x1)))))))) -> 4_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{1_1}(x1)))))))))))
   4_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{2_1}(x1)))))))) -> 4_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{2_1}(x1)))))))))))
   1_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(x1)))))))) -> 1_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(x1)))))))))))
   1_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(x1)))))))) -> 1_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(x1)))))))))))
   1_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(x1)))))))) -> 1_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(x1)))))))))))
   1_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(x1)))))))) -> 1_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(x1)))))))))))
   1_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(x1)))))))) -> 1_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{1_1}(x1)))))))))))
   1_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{2_1}(x1)))))))) -> 1_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{2_1}(x1)))))))))))
   2_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(x1)))))))) -> 2_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(x1)))))))))))
   2_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{5_1}(x1)))))))) -> 2_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{5_1}(x1)))))))))))
   2_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{0_1}(x1)))))))) -> 2_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{0_1}(x1)))))))))))
   2_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(x1)))))))) -> 2_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{4_1}(x1)))))))))))
   2_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{1_1}(x1)))))))) -> 2_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{1_1}(x1)))))))))))
   2_{4_1}(4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{2_1}(x1)))))))) -> 2_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(5_{2_1}(x1)))))))))))
   3_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 3_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(x1)))))))))))
   3_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 3_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(0_{5_1}(x1)))))))))))
   3_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 3_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(x1)))))))))))
   3_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 3_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(0_{4_1}(x1)))))))))))
   3_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 3_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(0_{1_1}(x1)))))))))))
   3_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 3_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(x1)))))))))))
   5_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 5_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(x1)))))))))))
   5_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 5_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(0_{5_1}(x1)))))))))))
   5_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 5_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(x1)))))))))))
   5_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 5_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(0_{4_1}(x1)))))))))))
   5_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 5_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(0_{1_1}(x1)))))))))))
   5_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 5_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(x1)))))))))))
   0_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 0_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(x1)))))))))))
   0_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 0_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(0_{5_1}(x1)))))))))))
   0_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 0_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(x1)))))))))))
   0_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 0_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(0_{4_1}(x1)))))))))))
   0_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 0_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(0_{1_1}(x1)))))))))))
   0_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 0_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(x1)))))))))))
   4_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(x1)))))))))))
   4_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(0_{5_1}(x1)))))))))))
   4_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(x1)))))))))))
   4_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(0_{4_1}(x1)))))))))))
   4_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(0_{1_1}(x1)))))))))))
   4_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(x1)))))))))))
   1_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 1_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(x1)))))))))))
   1_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 1_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(0_{5_1}(x1)))))))))))
   1_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 1_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(x1)))))))))))
   1_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 1_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(0_{4_1}(x1)))))))))))
   1_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 1_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(0_{1_1}(x1)))))))))))
   1_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 1_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(x1)))))))))))
   2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 2_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(x1)))))))))))
   2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 2_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(0_{5_1}(x1)))))))))))
   2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 2_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(x1)))))))))))
   2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 2_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(0_{4_1}(x1)))))))))))
   2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 2_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(0_{1_1}(x1)))))))))))
   2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 2_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(x1)))))))))))
   3_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 3_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(x1)))))))))))
   3_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 3_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   3_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 3_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   3_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 3_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   3_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 3_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
   3_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 3_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{2_1}(x1)))))))))))
   5_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 5_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(x1)))))))))))
   5_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 5_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   5_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 5_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   5_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 5_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   5_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 5_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
   5_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 5_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{2_1}(x1)))))))))))
   0_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 0_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(x1)))))))))))
   0_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 0_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   0_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 0_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   0_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 0_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   0_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 0_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
   0_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 0_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{2_1}(x1)))))))))))
   4_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 4_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(x1)))))))))))
   4_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 4_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   4_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 4_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   4_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 4_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   4_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 4_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
   4_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 4_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{2_1}(x1)))))))))))
   1_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(x1)))))))))))
   1_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   1_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   1_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   1_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
   1_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 1_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{2_1}(x1)))))))))))
   2_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 2_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(x1)))))))))))
   2_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 2_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   2_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 2_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   2_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 2_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   2_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 2_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
   2_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 2_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(4_{5_1}(5_{2_1}(x1)))))))))))
   3_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 3_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   3_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 3_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   3_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 3_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   3_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 3_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   3_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 3_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   3_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 3_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   5_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   5_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   5_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   5_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   5_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   5_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   0_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 0_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   0_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 0_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   0_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 0_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   0_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 0_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   0_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 0_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   0_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 0_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   4_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 4_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   4_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 4_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   4_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 4_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   4_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 4_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   4_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 4_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   4_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 4_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   1_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   1_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   1_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   1_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   1_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   1_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 2_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 2_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 2_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 2_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 2_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(5_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 2_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(x1)))))))) -> 3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(x1)))))))) -> 3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{0_1}(x1)))))))) -> 3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{4_1}(x1)))))))) -> 3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{1_1}(x1)))))))) -> 3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{2_1}(x1)))))))) -> 3_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(x1)))))))) -> 5_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(x1)))))))) -> 5_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{0_1}(x1)))))))) -> 5_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{4_1}(x1)))))))) -> 5_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{1_1}(x1)))))))) -> 5_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{2_1}(x1)))))))) -> 5_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(x1)))))))) -> 0_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(x1)))))))) -> 0_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{0_1}(x1)))))))) -> 0_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{4_1}(x1)))))))) -> 0_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{1_1}(x1)))))))) -> 0_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{2_1}(x1)))))))) -> 0_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   4_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(x1)))))))) -> 4_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   4_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(x1)))))))) -> 4_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   4_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{0_1}(x1)))))))) -> 4_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   4_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{4_1}(x1)))))))) -> 4_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   4_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{1_1}(x1)))))))) -> 4_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   4_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{2_1}(x1)))))))) -> 4_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   1_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(x1)))))))) -> 1_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   1_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(x1)))))))) -> 1_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   1_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{0_1}(x1)))))))) -> 1_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   1_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{4_1}(x1)))))))) -> 1_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   1_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{1_1}(x1)))))))) -> 1_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   1_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{2_1}(x1)))))))) -> 1_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(x1)))))))) -> 2_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(x1)))))))) -> 2_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{0_1}(x1)))))))) -> 2_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{4_1}(x1)))))))) -> 2_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{1_1}(x1)))))))) -> 2_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(5_{2_1}(x1)))))))) -> 2_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))))))
   3_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{3_1}(x1)))))))) -> 3_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(x1)))))))))))
   3_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{5_1}(x1)))))))) -> 3_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(x1)))))))))))
   3_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(x1)))))))) -> 3_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(x1)))))))))))
   3_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(x1)))))))) -> 3_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{4_1}(x1)))))))))))
   3_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{1_1}(x1)))))))) -> 3_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{1_1}(x1)))))))))))
   3_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(x1)))))))) -> 3_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{2_1}(x1)))))))))))
   5_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{3_1}(x1)))))))) -> 5_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(x1)))))))))))
   5_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{5_1}(x1)))))))) -> 5_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(x1)))))))))))
   5_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(x1)))))))) -> 5_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(x1)))))))))))
   5_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(x1)))))))) -> 5_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{4_1}(x1)))))))))))
   5_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{1_1}(x1)))))))) -> 5_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{1_1}(x1)))))))))))
   5_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(x1)))))))) -> 5_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{2_1}(x1)))))))))))
   0_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{3_1}(x1)))))))) -> 0_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(x1)))))))))))
   0_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{5_1}(x1)))))))) -> 0_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(x1)))))))))))
   0_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(x1)))))))) -> 0_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(x1)))))))))))
   0_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(x1)))))))) -> 0_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{4_1}(x1)))))))))))
   0_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{1_1}(x1)))))))) -> 0_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{1_1}(x1)))))))))))
   0_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(x1)))))))) -> 0_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{2_1}(x1)))))))))))
   4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{3_1}(x1)))))))) -> 4_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(x1)))))))))))
   4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{5_1}(x1)))))))) -> 4_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(x1)))))))))))
   4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(x1)))))))) -> 4_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(x1)))))))))))
   4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(x1)))))))) -> 4_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{4_1}(x1)))))))))))
   4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{1_1}(x1)))))))) -> 4_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{1_1}(x1)))))))))))
   4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(x1)))))))) -> 4_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{2_1}(x1)))))))))))
   1_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{3_1}(x1)))))))) -> 1_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(x1)))))))))))
   1_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{5_1}(x1)))))))) -> 1_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(x1)))))))))))
   1_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(x1)))))))) -> 1_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(x1)))))))))))
   1_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(x1)))))))) -> 1_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{4_1}(x1)))))))))))
   1_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{1_1}(x1)))))))) -> 1_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{1_1}(x1)))))))))))
   1_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(x1)))))))) -> 1_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{2_1}(x1)))))))))))
   2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{3_1}(x1)))))))) -> 2_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(x1)))))))))))
   2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{5_1}(x1)))))))) -> 2_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(x1)))))))))))
   2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(x1)))))))) -> 2_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(x1)))))))))))
   2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(x1)))))))) -> 2_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{4_1}(x1)))))))))))
   2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{1_1}(x1)))))))) -> 2_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{1_1}(x1)))))))))))
   2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(x1)))))))) -> 2_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(5_{2_1}(x1)))))))))))

The relative TRS consists of the following S rules:

   2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(x1))))))))))
   2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(x1))))))))))
   2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1))))))))))
   2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(x1))))))))))
   2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1))))))))))
   2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1))))))))))
   1_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(x1))))) -> 1_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(x1))))))))))
   1_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{5_1}(x1))))) -> 1_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(x1))))))))))
   1_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(x1))))) -> 1_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(x1))))))))))
   1_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(x1))))) -> 1_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{4_1}(x1))))))))))
   1_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(x1))))) -> 1_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(x1))))))))))
   1_{3_1}(3_{0_1}(0_{1_1}(1_{5_1}(5_{2_1}(x1))))) -> 1_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(x1))))))))))
   5_{1_1}(1_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{3_1}(x1)))))) -> 5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(x1))))))))))
   5_{1_1}(1_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{5_1}(x1)))))) -> 5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(x1))))))))))
   5_{1_1}(1_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(x1)))))) -> 5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(x1))))))))))
   5_{1_1}(1_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{4_1}(x1)))))) -> 5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(x1))))))))))
   5_{1_1}(1_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{1_1}(x1)))))) -> 5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(x1))))))))))
   5_{1_1}(1_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{2_1}(x1)))))) -> 5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(x1))))))))))
   0_{2_1}(2_{1_1}(1_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(x1))))))))))
   0_{2_1}(2_{1_1}(1_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(x1))))))))))
   0_{2_1}(2_{1_1}(1_{5_1}(5_{5_1}(5_{1_1}(1_{0_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{0_1}(x1))))))))))
   0_{2_1}(2_{1_1}(1_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{4_1}(x1))))))))))
   0_{2_1}(2_{1_1}(1_{5_1}(5_{5_1}(5_{1_1}(1_{1_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{1_1}(x1))))))))))
   0_{2_1}(2_{1_1}(1_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{2_1}(x1))))))))))
   3_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1))))))) -> 3_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1))))))))))
   3_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1))))))) -> 3_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1))))))))))
   3_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1))))))) -> 3_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1))))))))))
   3_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1))))))) -> 3_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1))))))))))
   3_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1))))))) -> 3_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1))))))))))
   3_{5_1}(5_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1))))))) -> 3_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1))))))))))
   0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(x1))))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(x1))))))))))
   0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(x1))))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(x1))))))))))
   0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{0_1}(0_{0_1}(x1))))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(x1))))))))))
   0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{0_1}(0_{4_1}(x1))))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{3_1}(3_{3_1}(3_{3_1}(3_{4_1}(x1))))))))))
   0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{0_1}(0_{1_1}(x1))))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{3_1}(3_{3_1}(3_{3_1}(3_{1_1}(x1))))))))))
   0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(x1))))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(2_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(x1))))))))))
   5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1))))))) -> 5_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(x1))))))))))
   5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1))))))) -> 5_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(x1))))))))))
   5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1))))))) -> 5_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(x1))))))))))
   5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1))))))) -> 5_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(x1))))))))))
   5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1))))))) -> 5_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(x1))))))))))
   5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1))))))) -> 5_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(x1))))))))))
   0_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{3_1}(x1))))))) -> 0_{1_1}(1_{2_1}(2_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{3_1}(x1))))))))))
   0_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(x1))))))) -> 0_{1_1}(1_{2_1}(2_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1))))))))))
   0_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(x1))))))) -> 0_{1_1}(1_{2_1}(2_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1))))))))))
   0_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(x1))))))) -> 0_{1_1}(1_{2_1}(2_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(x1))))))))))
   0_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{1_1}(x1))))))) -> 0_{1_1}(1_{2_1}(2_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{1_1}(x1))))))))))
   0_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{2_1}(x1))))))) -> 0_{1_1}(1_{2_1}(2_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1))))))))))
   3_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1))))))) -> 3_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{3_1}(x1))))))))))
   3_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1))))))) -> 3_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{5_1}(x1))))))))))
   3_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1))))))) -> 3_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(x1))))))))))
   3_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1))))))) -> 3_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(x1))))))))))
   3_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1))))))) -> 3_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(x1))))))))))
   3_{1_1}(1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1))))))) -> 3_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(5_{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)) = 1 + x_1
   POL(1_{3_1}(x_1)) = 1 + x_1
   POL(1_{4_1}(x_1)) = x_1
   POL(1_{5_1}(x_1)) = 1 + x_1
   POL(2_{0_1}(x_1)) = x_1
   POL(2_{1_1}(x_1)) = x_1
   POL(2_{2_1}(x_1)) = x_1
   POL(2_{3_1}(x_1)) = x_1
   POL(2_{4_1}(x_1)) = x_1
   POL(2_{5_1}(x_1)) = x_1
   POL(3_{0_1}(x_1)) = x_1
   POL(3_{1_1}(x_1)) = 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)) = x_1
   POL(4_{2_1}(x_1)) = 1 + x_1
   POL(4_{3_1}(x_1)) = 1 + x_1
   POL(4_{4_1}(x_1)) = x_1
   POL(4_{5_1}(x_1)) = x_1
   POL(5_{0_1}(x_1)) = 1 + x_1
   POL(5_{1_1}(x_1)) = x_1
   POL(5_{2_1}(x_1)) = x_1
   POL(5_{3_1}(x_1)) = 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:

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

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

The relative TRS consists of the following S rules:

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

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

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

The relative TRS consists of the following S rules:

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


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

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

   POL(0_{0_1}(x_1)) = 1 + x_1
   POL(0_{1_1}(x_1)) = 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)) = 1 + x_1
   POL(1_{0_1}(x_1)) = 1 + x_1
   POL(1_{1_1}(x_1)) = x_1
   POL(1_{2_1}(x_1)) = x_1
   POL(1_{3_1}(x_1)) = 1 + x_1
   POL(1_{4_1}(x_1)) = x_1
   POL(1_{5_1}(x_1)) = 1 + x_1
   POL(2_{0_1}(x_1)) = x_1
   POL(2_{1_1}(x_1)) = x_1
   POL(2_{2_1}(x_1)) = x_1
   POL(2_{3_1}(x_1)) = x_1
   POL(2_{4_1}(x_1)) = x_1
   POL(2_{5_1}(x_1)) = x_1
   POL(3_{0_1}(x_1)) = x_1
   POL(3_{1_1}(x_1)) = 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)) = 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_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1))))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(x1))))))))))
   0_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1))))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(x1))))))))))
   0_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1))))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(x1))))))))))
   0_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1))))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(x1))))))))))
   0_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1))))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{1_1}(x1))))))))))
   0_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1))))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(x1))))))))))
   3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(x1))))))))))
   1_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(x1))))))) -> 1_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))
   1_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x1))))))) -> 1_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))
   5_{2_1}(2_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{3_1}(x1))))))) -> 5_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(x1))))))))))
   5_{2_1}(2_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(x1))))))) -> 5_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(x1))))))))))
   5_{2_1}(2_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(x1))))))) -> 5_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(x1))))))))))
   5_{2_1}(2_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{1_1}(x1))))))) -> 5_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{1_1}(x1))))))))))
   5_{2_1}(2_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(x1))))))) -> 5_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(x1))))))))))
   5_{2_1}(2_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{5_1}(x1))))))) -> 5_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(x1))))))))))
   5_{2_1}(2_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(x1))))))) -> 5_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(x1))))))))))
   5_{2_1}(2_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(x1))))))) -> 5_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(x1))))))))))
   3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))))) -> 3_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))))) -> 3_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))))) -> 3_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))))) -> 3_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))))) -> 3_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))))) -> 3_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))))) -> 5_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))))) -> 5_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))))) -> 5_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))))) -> 5_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))))) -> 5_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))))) -> 5_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))))) -> 2_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))))) -> 2_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))))) -> 2_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))))) -> 2_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))))) -> 2_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))))) -> 2_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))
   3_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(x1))))))) -> 3_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(x1)))))))))))
   3_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{5_1}(x1))))))) -> 3_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   3_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{0_1}(x1))))))) -> 3_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   3_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{4_1}(x1))))))) -> 3_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   3_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(x1))))))) -> 3_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
   3_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{2_1}(x1))))))) -> 3_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(x1)))))))))))
   5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(x1))))))) -> 5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(x1)))))))))))
   5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{5_1}(x1))))))) -> 5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{0_1}(x1))))))) -> 5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{4_1}(x1))))))) -> 5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(x1))))))) -> 5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
   5_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{2_1}(x1))))))) -> 5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(x1)))))))))))
   0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(x1))))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(x1)))))))))))
   0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{5_1}(x1))))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{0_1}(x1))))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{4_1}(x1))))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(x1))))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
   0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{2_1}(x1))))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(x1)))))))))))
   4_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(x1))))))) -> 4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(x1)))))))))))
   4_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{5_1}(x1))))))) -> 4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   4_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{0_1}(x1))))))) -> 4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   4_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{4_1}(x1))))))) -> 4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   4_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(x1))))))) -> 4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
   4_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{2_1}(x1))))))) -> 4_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(x1)))))))))))
   1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(x1))))))) -> 1_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(x1)))))))))))
   1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{5_1}(x1))))))) -> 1_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{0_1}(x1))))))) -> 1_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{4_1}(x1))))))) -> 1_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(x1))))))) -> 1_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
   1_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{2_1}(x1))))))) -> 1_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(x1)))))))))))
   2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(x1))))))) -> 2_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(x1)))))))))))
   2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{5_1}(x1))))))) -> 2_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{0_1}(x1))))))) -> 2_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{4_1}(x1))))))) -> 2_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(x1))))))) -> 2_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
   2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(5_{2_1}(x1))))))) -> 2_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(x1)))))))))))
   3_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   3_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   3_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   3_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   3_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   3_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   5_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   0_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   0_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   0_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   0_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   0_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   0_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   4_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   4_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   4_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   4_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   4_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   4_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   1_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   1_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   1_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   1_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   1_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   1_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   2_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))
   2_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))
   2_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))
   2_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))
   2_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))
   2_{4_1}(4_{0_1}(0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))
   3_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(x1)))))))))))
   3_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{5_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(x1)))))))))))
   3_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(x1)))))))))))
   3_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(x1)))))))))))
   3_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(x1)))))))))))
   3_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(x1)))))))) -> 3_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(x1)))))))))))
   5_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(x1)))))))))))
   5_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{5_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(x1)))))))))))
   5_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(x1)))))))))))
   5_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(x1)))))))))))
   5_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(x1)))))))))))
   5_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(x1)))))))) -> 5_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(x1)))))))))))
   0_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(x1)))))))))))
   0_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{5_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(x1)))))))))))
   0_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(x1)))))))))))
   0_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(x1)))))))))))
   0_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(x1)))))))))))
   0_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(x1)))))))) -> 0_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(x1)))))))))))
   2_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{3_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(x1)))))))))))
   2_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{5_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(x1)))))))))))
   2_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(x1)))))))))))
   2_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{4_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(x1)))))))))))
   2_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{1_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(x1)))))))))))
   2_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{2_1}(2_{2_1}(x1)))))))) -> 2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{5_1}(x1)))))))) -> 3_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(x1)))))))) -> 3_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{4_1}(x1)))))))) -> 3_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(x1)))))))) -> 3_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{5_1}(x1)))))))) -> 5_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(x1)))))))) -> 5_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{4_1}(x1)))))))) -> 5_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(x1)))))))) -> 5_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{5_1}(x1)))))))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(x1)))))))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{4_1}(x1)))))))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(x1)))))))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{5_1}(x1)))))))) -> 2_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(x1)))))))) -> 2_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{0_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{4_1}(x1)))))))) -> 2_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(x1)))))))))))
   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(x1)))))))) -> 2_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(5_{1_1}(x1)))))))))))
Rules from S:

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




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

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

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

The relative TRS consists of the following S rules:

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


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

(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)) = x_1
   POL(0_{2_1}(x_1)) = x_1
   POL(0_{3_1}(x_1)) = 1 + x_1
   POL(0_{4_1}(x_1)) = x_1
   POL(0_{5_1}(x_1)) = x_1
   POL(1_{0_1}(x_1)) = x_1
   POL(1_{1_1}(x_1)) = x_1
   POL(1_{2_1}(x_1)) = x_1
   POL(1_{3_1}(x_1)) = 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)) = 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_{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:

   2_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(x1))))))))))
   0_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{5_1}(5_{5_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(x1))))))))))
   3_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   3_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   3_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   3_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{4_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   3_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   3_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(x1)))))))) -> 3_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   5_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   5_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   5_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   5_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{4_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   5_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   5_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(x1)))))))) -> 5_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   0_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   0_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   0_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   0_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{4_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   0_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   0_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
   2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))))
   2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))))
   2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))))
   2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{4_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))))
   2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))))
   2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(x1)))))))) -> 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))))
Rules from S:
none




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

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

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

The relative TRS consists of the following S rules:

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


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

   POL(0_{1_1}(x_1)) = x_1
   POL(0_{2_1}(x_1)) = 1 + x_1
   POL(0_{3_1}(x_1)) = x_1
   POL(0_{4_1}(x_1)) = x_1
   POL(0_{5_1}(x_1)) = x_1
   POL(1_{0_1}(x_1)) = x_1
   POL(1_{1_1}(x_1)) = x_1
   POL(1_{2_1}(x_1)) = x_1
   POL(1_{3_1}(x_1)) = 1 + x_1
   POL(1_{4_1}(x_1)) = x_1
   POL(1_{5_1}(x_1)) = 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_{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:

   1_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(x1)))))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(x1))))))))))
   1_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(x1)))))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{5_1}(x1))))))))))
   1_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(x1))))))))))
   1_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(x1)))))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{4_1}(x1))))))))))
   1_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{1_1}(x1))))))))))
   1_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(x1))))))))))
   0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))))) -> 0_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))))) -> 0_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))))) -> 0_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))))) -> 0_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))))) -> 0_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))
   0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))))) -> 0_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))
   0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1)))))))))))
   0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{5_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1)))))))))))
   0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1)))))))))))
   0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1)))))))))))
   0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{1_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1)))))))))))
   0_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{2_1}(x1)))))))) -> 0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1)))))))))))
Rules from S:
none




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

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

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

The relative TRS consists of the following S rules:

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


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

   POL(0_{5_1}(x_1)) = x_1
   POL(1_{1_1}(x_1)) = x_1
   POL(1_{2_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)) = 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_{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_{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)) = 1 + x_1
   POL(4_{5_1}(x_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:

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

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




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(18)
Obligation:
Relative term rewrite system:
The relative TRS consists of the following R rules:

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

S is empty.

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(19) SIsEmptyProof (EQUIVALENT)
The TRS S is empty. Hence, termination of R/S is equivalent to termination of R.
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(20)
Obligation:
Q restricted rewrite system:
The TRS R consists of the following rules:

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

Q is empty.

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

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

The certificate found is represented by the following graph.
The certificate consists of the following enumerated nodes:
2608, 2609, 2610, 2611, 2612, 2613, 2614, 2615, 2616, 2617, 2618, 2619

Node 2608 is start node and node 2609 is final node.

Those nodes are connected through the following edges:

* 2608 to 2610 labelled 3_{1_1}_1(0), 5_{1_1}_1(0)* 2609 to 2609 labelled #_1(0)* 2610 to 2611 labelled 1_{1_1}_1(0)* 2611 to 2612 labelled 1_{1_1}_1(0)* 2612 to 2613 labelled 1_{1_1}_1(0)* 2613 to 2614 labelled 1_{4_1}_1(0)* 2614 to 2615 labelled 4_{1_1}_1(0)* 2615 to 2616 labelled 1_{2_1}_1(0)* 2616 to 2617 labelled 2_{4_1}_1(0)* 2617 to 2618 labelled 4_{5_1}_1(0)* 2618 to 2619 labelled 5_{4_1}_1(0)* 2619 to 2609 labelled 4_{3_1}_1(0), 4_{5_1}_1(0), 4_{0_1}_1(0), 4_{4_1}_1(0), 4_{1_1}_1(0), 4_{2_1}_1(0)


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(22)
YES