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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


Termination w.r.t. Q of the given QTRS could be proven:

(0) QTRS
(1) QTRS Reverse [EQUIVALENT, 0 ms]
(2) QTRS
(3) DependencyPairsProof [EQUIVALENT, 8623 ms]
(4) QDP
(5) QDPOrderProof [EQUIVALENT, 8687 ms]
(6) QDP
(7) DependencyGraphProof [EQUIVALENT, 0 ms]
(8) TRUE


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

(0)
Obligation:
Q restricted rewrite system:
The TRS R consists of the following rules:

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

Q is empty.

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

(1) QTRS Reverse (EQUIVALENT)
We applied the QTRS Reverse Processor [REVERSE].
----------------------------------------

(2)
Obligation:
Q restricted rewrite system:
The TRS R consists of the following rules:

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

Q is empty.

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

(3) DependencyPairsProof (EQUIVALENT)
Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem.
----------------------------------------

(4)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   5^1(1(5(1(4(3(0(1(3(0(0(0(x1)))))))))))) -> 1^1(5(0(2(1(5(2(4(5(4(4(2(2(2(1(2(2(x1)))))))))))))))))
   5^1(1(5(1(4(3(0(1(3(0(0(0(x1)))))))))))) -> 5^1(0(2(1(5(2(4(5(4(4(2(2(2(1(2(2(x1))))))))))))))))
   5^1(1(5(1(4(3(0(1(3(0(0(0(x1)))))))))))) -> 0^1(2(1(5(2(4(5(4(4(2(2(2(1(2(2(x1)))))))))))))))
   5^1(1(5(1(4(3(0(1(3(0(0(0(x1)))))))))))) -> 2^1(1(5(2(4(5(4(4(2(2(2(1(2(2(x1))))))))))))))
   5^1(1(5(1(4(3(0(1(3(0(0(0(x1)))))))))))) -> 1^1(5(2(4(5(4(4(2(2(2(1(2(2(x1)))))))))))))
   5^1(1(5(1(4(3(0(1(3(0(0(0(x1)))))))))))) -> 5^1(2(4(5(4(4(2(2(2(1(2(2(x1))))))))))))
   5^1(1(5(1(4(3(0(1(3(0(0(0(x1)))))))))))) -> 2^1(4(5(4(4(2(2(2(1(2(2(x1)))))))))))
   5^1(1(5(1(4(3(0(1(3(0(0(0(x1)))))))))))) -> 4^1(5(4(4(2(2(2(1(2(2(x1))))))))))
   5^1(1(5(1(4(3(0(1(3(0(0(0(x1)))))))))))) -> 5^1(4(4(2(2(2(1(2(2(x1)))))))))
   5^1(1(5(1(4(3(0(1(3(0(0(0(x1)))))))))))) -> 4^1(4(2(2(2(1(2(2(x1))))))))
   5^1(1(5(1(4(3(0(1(3(0(0(0(x1)))))))))))) -> 4^1(2(2(2(1(2(2(x1)))))))
   5^1(1(5(1(4(3(0(1(3(0(0(0(x1)))))))))))) -> 2^1(2(2(1(2(2(x1))))))
   5^1(1(5(1(4(3(0(1(3(0(0(0(x1)))))))))))) -> 2^1(2(1(2(2(x1)))))
   5^1(1(5(1(4(3(0(1(3(0(0(0(x1)))))))))))) -> 2^1(1(2(2(x1))))
   5^1(1(5(1(4(3(0(1(3(0(0(0(x1)))))))))))) -> 1^1(2(2(x1)))
   5^1(1(5(1(4(3(0(1(3(0(0(0(x1)))))))))))) -> 2^1(2(x1))
   5^1(1(5(1(4(3(0(1(3(0(0(0(x1)))))))))))) -> 2^1(x1)
   5^1(1(0(3(1(1(5(3(3(0(0(0(x1)))))))))))) -> 1^1(1(2(1(2(2(5(5(2(2(5(2(0(2(4(3(1(x1)))))))))))))))))
   5^1(1(0(3(1(1(5(3(3(0(0(0(x1)))))))))))) -> 1^1(2(1(2(2(5(5(2(2(5(2(0(2(4(3(1(x1))))))))))))))))
   5^1(1(0(3(1(1(5(3(3(0(0(0(x1)))))))))))) -> 2^1(1(2(2(5(5(2(2(5(2(0(2(4(3(1(x1)))))))))))))))
   5^1(1(0(3(1(1(5(3(3(0(0(0(x1)))))))))))) -> 1^1(2(2(5(5(2(2(5(2(0(2(4(3(1(x1))))))))))))))
   5^1(1(0(3(1(1(5(3(3(0(0(0(x1)))))))))))) -> 2^1(2(5(5(2(2(5(2(0(2(4(3(1(x1)))))))))))))
   5^1(1(0(3(1(1(5(3(3(0(0(0(x1)))))))))))) -> 2^1(5(5(2(2(5(2(0(2(4(3(1(x1))))))))))))
   5^1(1(0(3(1(1(5(3(3(0(0(0(x1)))))))))))) -> 5^1(5(2(2(5(2(0(2(4(3(1(x1)))))))))))
   5^1(1(0(3(1(1(5(3(3(0(0(0(x1)))))))))))) -> 5^1(2(2(5(2(0(2(4(3(1(x1))))))))))
   5^1(1(0(3(1(1(5(3(3(0(0(0(x1)))))))))))) -> 2^1(2(5(2(0(2(4(3(1(x1)))))))))
   5^1(1(0(3(1(1(5(3(3(0(0(0(x1)))))))))))) -> 2^1(5(2(0(2(4(3(1(x1))))))))
   5^1(1(0(3(1(1(5(3(3(0(0(0(x1)))))))))))) -> 5^1(2(0(2(4(3(1(x1)))))))
   5^1(1(0(3(1(1(5(3(3(0(0(0(x1)))))))))))) -> 2^1(0(2(4(3(1(x1))))))
   5^1(1(0(3(1(1(5(3(3(0(0(0(x1)))))))))))) -> 0^1(2(4(3(1(x1)))))
   5^1(1(0(3(1(1(5(3(3(0(0(0(x1)))))))))))) -> 2^1(4(3(1(x1))))
   5^1(1(0(3(1(1(5(3(3(0(0(0(x1)))))))))))) -> 4^1(3(1(x1)))
   5^1(1(0(3(1(1(5(3(3(0(0(0(x1)))))))))))) -> 3^1(1(x1))
   5^1(1(0(3(1(1(5(3(3(0(0(0(x1)))))))))))) -> 1^1(x1)
   0^1(3(4(0(4(4(4(1(1(4(0(0(x1)))))))))))) -> 4^1(2(2(2(3(3(2(3(1(5(1(5(2(0(0(x1)))))))))))))))
   0^1(3(4(0(4(4(4(1(1(4(0(0(x1)))))))))))) -> 2^1(2(2(3(3(2(3(1(5(1(5(2(0(0(x1))))))))))))))
   0^1(3(4(0(4(4(4(1(1(4(0(0(x1)))))))))))) -> 2^1(2(3(3(2(3(1(5(1(5(2(0(0(x1)))))))))))))
   0^1(3(4(0(4(4(4(1(1(4(0(0(x1)))))))))))) -> 2^1(3(3(2(3(1(5(1(5(2(0(0(x1))))))))))))
   0^1(3(4(0(4(4(4(1(1(4(0(0(x1)))))))))))) -> 3^1(3(2(3(1(5(1(5(2(0(0(x1)))))))))))
   0^1(3(4(0(4(4(4(1(1(4(0(0(x1)))))))))))) -> 3^1(2(3(1(5(1(5(2(0(0(x1))))))))))
   0^1(3(4(0(4(4(4(1(1(4(0(0(x1)))))))))))) -> 2^1(3(1(5(1(5(2(0(0(x1)))))))))
   0^1(3(4(0(4(4(4(1(1(4(0(0(x1)))))))))))) -> 3^1(1(5(1(5(2(0(0(x1))))))))
   0^1(3(4(0(4(4(4(1(1(4(0(0(x1)))))))))))) -> 1^1(5(1(5(2(0(0(x1)))))))
   0^1(3(4(0(4(4(4(1(1(4(0(0(x1)))))))))))) -> 5^1(1(5(2(0(0(x1))))))
   0^1(3(4(0(4(4(4(1(1(4(0(0(x1)))))))))))) -> 1^1(5(2(0(0(x1)))))
   0^1(3(4(0(4(4(4(1(1(4(0(0(x1)))))))))))) -> 5^1(2(0(0(x1))))
   0^1(3(4(0(4(4(4(1(1(4(0(0(x1)))))))))))) -> 2^1(0(0(x1)))
   4^1(1(0(3(2(1(5(4(5(5(0(0(x1)))))))))))) -> 3^1(5(1(3(5(2(0(2(0(2(2(1(2(2(1(x1)))))))))))))))
   4^1(1(0(3(2(1(5(4(5(5(0(0(x1)))))))))))) -> 5^1(1(3(5(2(0(2(0(2(2(1(2(2(1(x1))))))))))))))
   4^1(1(0(3(2(1(5(4(5(5(0(0(x1)))))))))))) -> 1^1(3(5(2(0(2(0(2(2(1(2(2(1(x1)))))))))))))
   4^1(1(0(3(2(1(5(4(5(5(0(0(x1)))))))))))) -> 3^1(5(2(0(2(0(2(2(1(2(2(1(x1))))))))))))
   4^1(1(0(3(2(1(5(4(5(5(0(0(x1)))))))))))) -> 5^1(2(0(2(0(2(2(1(2(2(1(x1)))))))))))
   4^1(1(0(3(2(1(5(4(5(5(0(0(x1)))))))))))) -> 2^1(0(2(0(2(2(1(2(2(1(x1))))))))))
   4^1(1(0(3(2(1(5(4(5(5(0(0(x1)))))))))))) -> 0^1(2(0(2(2(1(2(2(1(x1)))))))))
   4^1(1(0(3(2(1(5(4(5(5(0(0(x1)))))))))))) -> 2^1(0(2(2(1(2(2(1(x1))))))))
   4^1(1(0(3(2(1(5(4(5(5(0(0(x1)))))))))))) -> 0^1(2(2(1(2(2(1(x1)))))))
   4^1(1(0(3(2(1(5(4(5(5(0(0(x1)))))))))))) -> 2^1(2(1(2(2(1(x1))))))
   4^1(1(0(3(2(1(5(4(5(5(0(0(x1)))))))))))) -> 2^1(1(2(2(1(x1)))))
   4^1(1(0(3(2(1(5(4(5(5(0(0(x1)))))))))))) -> 1^1(2(2(1(x1))))
   4^1(1(0(3(2(1(5(4(5(5(0(0(x1)))))))))))) -> 2^1(2(1(x1)))
   4^1(1(0(3(2(1(5(4(5(5(0(0(x1)))))))))))) -> 2^1(1(x1))
   4^1(1(0(3(2(1(5(4(5(5(0(0(x1)))))))))))) -> 1^1(x1)
   5^1(1(1(0(3(5(4(1(1(0(1(0(x1)))))))))))) -> 2^1(2(3(1(4(3(4(4(3(2(3(1(2(3(0(x1)))))))))))))))
   5^1(1(1(0(3(5(4(1(1(0(1(0(x1)))))))))))) -> 2^1(3(1(4(3(4(4(3(2(3(1(2(3(0(x1))))))))))))))
   5^1(1(1(0(3(5(4(1(1(0(1(0(x1)))))))))))) -> 3^1(1(4(3(4(4(3(2(3(1(2(3(0(x1)))))))))))))
   5^1(1(1(0(3(5(4(1(1(0(1(0(x1)))))))))))) -> 1^1(4(3(4(4(3(2(3(1(2(3(0(x1))))))))))))
   5^1(1(1(0(3(5(4(1(1(0(1(0(x1)))))))))))) -> 4^1(3(4(4(3(2(3(1(2(3(0(x1)))))))))))
   5^1(1(1(0(3(5(4(1(1(0(1(0(x1)))))))))))) -> 3^1(4(4(3(2(3(1(2(3(0(x1))))))))))
   5^1(1(1(0(3(5(4(1(1(0(1(0(x1)))))))))))) -> 4^1(4(3(2(3(1(2(3(0(x1)))))))))
   5^1(1(1(0(3(5(4(1(1(0(1(0(x1)))))))))))) -> 4^1(3(2(3(1(2(3(0(x1))))))))
   5^1(1(1(0(3(5(4(1(1(0(1(0(x1)))))))))))) -> 3^1(2(3(1(2(3(0(x1)))))))
   5^1(1(1(0(3(5(4(1(1(0(1(0(x1)))))))))))) -> 2^1(3(1(2(3(0(x1))))))
   5^1(1(1(0(3(5(4(1(1(0(1(0(x1)))))))))))) -> 3^1(1(2(3(0(x1)))))
   5^1(1(1(0(3(5(4(1(1(0(1(0(x1)))))))))))) -> 1^1(2(3(0(x1))))
   5^1(1(1(0(3(5(4(1(1(0(1(0(x1)))))))))))) -> 2^1(3(0(x1)))
   5^1(1(1(0(3(5(4(1(1(0(1(0(x1)))))))))))) -> 3^1(0(x1))
   3^1(3(5(5(0(1(4(5(1(0(1(0(x1)))))))))))) -> 1^1(2(2(5(2(5(2(2(2(2(2(4(4(2(2(3(5(3(x1))))))))))))))))))
   3^1(3(5(5(0(1(4(5(1(0(1(0(x1)))))))))))) -> 2^1(2(5(2(5(2(2(2(2(2(4(4(2(2(3(5(3(x1)))))))))))))))))
   3^1(3(5(5(0(1(4(5(1(0(1(0(x1)))))))))))) -> 2^1(5(2(5(2(2(2(2(2(4(4(2(2(3(5(3(x1))))))))))))))))
   3^1(3(5(5(0(1(4(5(1(0(1(0(x1)))))))))))) -> 5^1(2(5(2(2(2(2(2(4(4(2(2(3(5(3(x1)))))))))))))))
   3^1(3(5(5(0(1(4(5(1(0(1(0(x1)))))))))))) -> 2^1(5(2(2(2(2(2(4(4(2(2(3(5(3(x1))))))))))))))
   3^1(3(5(5(0(1(4(5(1(0(1(0(x1)))))))))))) -> 5^1(2(2(2(2(2(4(4(2(2(3(5(3(x1)))))))))))))
   3^1(3(5(5(0(1(4(5(1(0(1(0(x1)))))))))))) -> 2^1(2(2(2(2(4(4(2(2(3(5(3(x1))))))))))))
   3^1(3(5(5(0(1(4(5(1(0(1(0(x1)))))))))))) -> 2^1(2(2(2(4(4(2(2(3(5(3(x1)))))))))))
   3^1(3(5(5(0(1(4(5(1(0(1(0(x1)))))))))))) -> 2^1(2(2(4(4(2(2(3(5(3(x1))))))))))
   3^1(3(5(5(0(1(4(5(1(0(1(0(x1)))))))))))) -> 2^1(2(4(4(2(2(3(5(3(x1)))))))))
   3^1(3(5(5(0(1(4(5(1(0(1(0(x1)))))))))))) -> 2^1(4(4(2(2(3(5(3(x1))))))))
   3^1(3(5(5(0(1(4(5(1(0(1(0(x1)))))))))))) -> 4^1(4(2(2(3(5(3(x1)))))))
   3^1(3(5(5(0(1(4(5(1(0(1(0(x1)))))))))))) -> 4^1(2(2(3(5(3(x1))))))
   3^1(3(5(5(0(1(4(5(1(0(1(0(x1)))))))))))) -> 2^1(2(3(5(3(x1)))))
   3^1(3(5(5(0(1(4(5(1(0(1(0(x1)))))))))))) -> 2^1(3(5(3(x1))))
   3^1(3(5(5(0(1(4(5(1(0(1(0(x1)))))))))))) -> 3^1(5(3(x1)))
   3^1(3(5(5(0(1(4(5(1(0(1(0(x1)))))))))))) -> 5^1(3(x1))
   3^1(3(5(5(0(1(4(5(1(0(1(0(x1)))))))))))) -> 3^1(x1)
   3^1(0(0(5(1(1(1(4(4(1(1(0(x1)))))))))))) -> 2^1(5(4(2(2(2(4(2(0(2(2(2(1(2(4(5(2(0(x1))))))))))))))))))
   3^1(0(0(5(1(1(1(4(4(1(1(0(x1)))))))))))) -> 5^1(4(2(2(2(4(2(0(2(2(2(1(2(4(5(2(0(x1)))))))))))))))))
   3^1(0(0(5(1(1(1(4(4(1(1(0(x1)))))))))))) -> 4^1(2(2(2(4(2(0(2(2(2(1(2(4(5(2(0(x1))))))))))))))))
   3^1(0(0(5(1(1(1(4(4(1(1(0(x1)))))))))))) -> 2^1(2(2(4(2(0(2(2(2(1(2(4(5(2(0(x1)))))))))))))))
   3^1(0(0(5(1(1(1(4(4(1(1(0(x1)))))))))))) -> 2^1(2(4(2(0(2(2(2(1(2(4(5(2(0(x1))))))))))))))
   3^1(0(0(5(1(1(1(4(4(1(1(0(x1)))))))))))) -> 2^1(4(2(0(2(2(2(1(2(4(5(2(0(x1)))))))))))))
   3^1(0(0(5(1(1(1(4(4(1(1(0(x1)))))))))))) -> 4^1(2(0(2(2(2(1(2(4(5(2(0(x1))))))))))))
   3^1(0(0(5(1(1(1(4(4(1(1(0(x1)))))))))))) -> 2^1(0(2(2(2(1(2(4(5(2(0(x1)))))))))))
   3^1(0(0(5(1(1(1(4(4(1(1(0(x1)))))))))))) -> 0^1(2(2(2(1(2(4(5(2(0(x1))))))))))
   3^1(0(0(5(1(1(1(4(4(1(1(0(x1)))))))))))) -> 2^1(2(2(1(2(4(5(2(0(x1)))))))))
   3^1(0(0(5(1(1(1(4(4(1(1(0(x1)))))))))))) -> 2^1(2(1(2(4(5(2(0(x1))))))))
   3^1(0(0(5(1(1(1(4(4(1(1(0(x1)))))))))))) -> 2^1(1(2(4(5(2(0(x1)))))))
   3^1(0(0(5(1(1(1(4(4(1(1(0(x1)))))))))))) -> 1^1(2(4(5(2(0(x1))))))
   3^1(0(0(5(1(1(1(4(4(1(1(0(x1)))))))))))) -> 2^1(4(5(2(0(x1)))))
   3^1(0(0(5(1(1(1(4(4(1(1(0(x1)))))))))))) -> 4^1(5(2(0(x1))))
   3^1(0(0(5(1(1(1(4(4(1(1(0(x1)))))))))))) -> 5^1(2(0(x1)))
   3^1(0(0(5(1(1(1(4(4(1(1(0(x1)))))))))))) -> 2^1(0(x1))
   1^1(1(1(5(0(0(5(1(3(3(1(0(x1)))))))))))) -> 4^1(1(2(4(0(1(2(2(5(4(2(3(2(3(2(3(2(x1)))))))))))))))))
   1^1(1(1(5(0(0(5(1(3(3(1(0(x1)))))))))))) -> 1^1(2(4(0(1(2(2(5(4(2(3(2(3(2(3(2(x1))))))))))))))))
   1^1(1(1(5(0(0(5(1(3(3(1(0(x1)))))))))))) -> 2^1(4(0(1(2(2(5(4(2(3(2(3(2(3(2(x1)))))))))))))))
   1^1(1(1(5(0(0(5(1(3(3(1(0(x1)))))))))))) -> 4^1(0(1(2(2(5(4(2(3(2(3(2(3(2(x1))))))))))))))
   1^1(1(1(5(0(0(5(1(3(3(1(0(x1)))))))))))) -> 0^1(1(2(2(5(4(2(3(2(3(2(3(2(x1)))))))))))))
   1^1(1(1(5(0(0(5(1(3(3(1(0(x1)))))))))))) -> 1^1(2(2(5(4(2(3(2(3(2(3(2(x1))))))))))))
   1^1(1(1(5(0(0(5(1(3(3(1(0(x1)))))))))))) -> 2^1(2(5(4(2(3(2(3(2(3(2(x1)))))))))))
   1^1(1(1(5(0(0(5(1(3(3(1(0(x1)))))))))))) -> 2^1(5(4(2(3(2(3(2(3(2(x1))))))))))
   1^1(1(1(5(0(0(5(1(3(3(1(0(x1)))))))))))) -> 5^1(4(2(3(2(3(2(3(2(x1)))))))))
   1^1(1(1(5(0(0(5(1(3(3(1(0(x1)))))))))))) -> 4^1(2(3(2(3(2(3(2(x1))))))))
   1^1(1(1(5(0(0(5(1(3(3(1(0(x1)))))))))))) -> 2^1(3(2(3(2(3(2(x1)))))))
   1^1(1(1(5(0(0(5(1(3(3(1(0(x1)))))))))))) -> 3^1(2(3(2(3(2(x1))))))
   1^1(1(1(5(0(0(5(1(3(3(1(0(x1)))))))))))) -> 2^1(3(2(3(2(x1)))))
   1^1(1(1(5(0(0(5(1(3(3(1(0(x1)))))))))))) -> 3^1(2(3(2(x1))))
   1^1(1(1(5(0(0(5(1(3(3(1(0(x1)))))))))))) -> 2^1(3(2(x1)))
   1^1(1(1(5(0(0(5(1(3(3(1(0(x1)))))))))))) -> 3^1(2(x1))
   1^1(1(1(5(0(0(5(1(3(3(1(0(x1)))))))))))) -> 2^1(x1)
   1^1(4(1(0(0(5(1(5(0(4(2(0(x1)))))))))))) -> 1^1(1(0(3(3(2(2(3(2(2(2(2(2(2(1(5(2(1(x1))))))))))))))))))
   1^1(4(1(0(0(5(1(5(0(4(2(0(x1)))))))))))) -> 1^1(0(3(3(2(2(3(2(2(2(2(2(2(1(5(2(1(x1)))))))))))))))))
   1^1(4(1(0(0(5(1(5(0(4(2(0(x1)))))))))))) -> 0^1(3(3(2(2(3(2(2(2(2(2(2(1(5(2(1(x1))))))))))))))))
   1^1(4(1(0(0(5(1(5(0(4(2(0(x1)))))))))))) -> 3^1(3(2(2(3(2(2(2(2(2(2(1(5(2(1(x1)))))))))))))))
   1^1(4(1(0(0(5(1(5(0(4(2(0(x1)))))))))))) -> 3^1(2(2(3(2(2(2(2(2(2(1(5(2(1(x1))))))))))))))
   1^1(4(1(0(0(5(1(5(0(4(2(0(x1)))))))))))) -> 2^1(2(3(2(2(2(2(2(2(1(5(2(1(x1)))))))))))))
   1^1(4(1(0(0(5(1(5(0(4(2(0(x1)))))))))))) -> 2^1(3(2(2(2(2(2(2(1(5(2(1(x1))))))))))))
   1^1(4(1(0(0(5(1(5(0(4(2(0(x1)))))))))))) -> 3^1(2(2(2(2(2(2(1(5(2(1(x1)))))))))))
   1^1(4(1(0(0(5(1(5(0(4(2(0(x1)))))))))))) -> 2^1(2(2(2(2(2(1(5(2(1(x1))))))))))
   1^1(4(1(0(0(5(1(5(0(4(2(0(x1)))))))))))) -> 2^1(2(2(2(2(1(5(2(1(x1)))))))))
   1^1(4(1(0(0(5(1(5(0(4(2(0(x1)))))))))))) -> 2^1(2(2(2(1(5(2(1(x1))))))))
   1^1(4(1(0(0(5(1(5(0(4(2(0(x1)))))))))))) -> 2^1(2(2(1(5(2(1(x1)))))))
   1^1(4(1(0(0(5(1(5(0(4(2(0(x1)))))))))))) -> 2^1(2(1(5(2(1(x1))))))
   1^1(4(1(0(0(5(1(5(0(4(2(0(x1)))))))))))) -> 2^1(1(5(2(1(x1)))))
   1^1(4(1(0(0(5(1(5(0(4(2(0(x1)))))))))))) -> 1^1(5(2(1(x1))))
   1^1(4(1(0(0(5(1(5(0(4(2(0(x1)))))))))))) -> 5^1(2(1(x1)))
   1^1(4(1(0(0(5(1(5(0(4(2(0(x1)))))))))))) -> 2^1(1(x1))
   1^1(4(1(0(0(5(1(5(0(4(2(0(x1)))))))))))) -> 1^1(x1)
   0^1(3(5(3(3(0(4(0(0(1(3(0(x1)))))))))))) -> 2^1(1(4(2(3(2(4(2(2(2(5(5(0(2(4(3(x1))))))))))))))))
   0^1(3(5(3(3(0(4(0(0(1(3(0(x1)))))))))))) -> 1^1(4(2(3(2(4(2(2(2(5(5(0(2(4(3(x1)))))))))))))))
   0^1(3(5(3(3(0(4(0(0(1(3(0(x1)))))))))))) -> 4^1(2(3(2(4(2(2(2(5(5(0(2(4(3(x1))))))))))))))
   0^1(3(5(3(3(0(4(0(0(1(3(0(x1)))))))))))) -> 2^1(3(2(4(2(2(2(5(5(0(2(4(3(x1)))))))))))))
   0^1(3(5(3(3(0(4(0(0(1(3(0(x1)))))))))))) -> 3^1(2(4(2(2(2(5(5(0(2(4(3(x1))))))))))))
   0^1(3(5(3(3(0(4(0(0(1(3(0(x1)))))))))))) -> 2^1(4(2(2(2(5(5(0(2(4(3(x1)))))))))))
   0^1(3(5(3(3(0(4(0(0(1(3(0(x1)))))))))))) -> 4^1(2(2(2(5(5(0(2(4(3(x1))))))))))
   0^1(3(5(3(3(0(4(0(0(1(3(0(x1)))))))))))) -> 2^1(2(2(5(5(0(2(4(3(x1)))))))))
   0^1(3(5(3(3(0(4(0(0(1(3(0(x1)))))))))))) -> 2^1(2(5(5(0(2(4(3(x1))))))))
   0^1(3(5(3(3(0(4(0(0(1(3(0(x1)))))))))))) -> 2^1(5(5(0(2(4(3(x1)))))))
   0^1(3(5(3(3(0(4(0(0(1(3(0(x1)))))))))))) -> 5^1(5(0(2(4(3(x1))))))
   0^1(3(5(3(3(0(4(0(0(1(3(0(x1)))))))))))) -> 5^1(0(2(4(3(x1)))))
   0^1(3(5(3(3(0(4(0(0(1(3(0(x1)))))))))))) -> 0^1(2(4(3(x1))))
   0^1(3(5(3(3(0(4(0(0(1(3(0(x1)))))))))))) -> 2^1(4(3(x1)))
   0^1(3(5(3(3(0(4(0(0(1(3(0(x1)))))))))))) -> 4^1(3(x1))
   0^1(3(5(3(3(0(4(0(0(1(3(0(x1)))))))))))) -> 3^1(x1)
   5^1(4(4(1(5(1(5(5(5(1(3(0(x1)))))))))))) -> 5^1(3(2(4(4(2(1(0(2(3(2(0(5(2(2(0(2(1(x1))))))))))))))))))
   5^1(4(4(1(5(1(5(5(5(1(3(0(x1)))))))))))) -> 3^1(2(4(4(2(1(0(2(3(2(0(5(2(2(0(2(1(x1)))))))))))))))))
   5^1(4(4(1(5(1(5(5(5(1(3(0(x1)))))))))))) -> 2^1(4(4(2(1(0(2(3(2(0(5(2(2(0(2(1(x1))))))))))))))))
   5^1(4(4(1(5(1(5(5(5(1(3(0(x1)))))))))))) -> 4^1(4(2(1(0(2(3(2(0(5(2(2(0(2(1(x1)))))))))))))))
   5^1(4(4(1(5(1(5(5(5(1(3(0(x1)))))))))))) -> 4^1(2(1(0(2(3(2(0(5(2(2(0(2(1(x1))))))))))))))
   5^1(4(4(1(5(1(5(5(5(1(3(0(x1)))))))))))) -> 2^1(1(0(2(3(2(0(5(2(2(0(2(1(x1)))))))))))))
   5^1(4(4(1(5(1(5(5(5(1(3(0(x1)))))))))))) -> 1^1(0(2(3(2(0(5(2(2(0(2(1(x1))))))))))))
   5^1(4(4(1(5(1(5(5(5(1(3(0(x1)))))))))))) -> 0^1(2(3(2(0(5(2(2(0(2(1(x1)))))))))))
   5^1(4(4(1(5(1(5(5(5(1(3(0(x1)))))))))))) -> 2^1(3(2(0(5(2(2(0(2(1(x1))))))))))
   5^1(4(4(1(5(1(5(5(5(1(3(0(x1)))))))))))) -> 3^1(2(0(5(2(2(0(2(1(x1)))))))))
   5^1(4(4(1(5(1(5(5(5(1(3(0(x1)))))))))))) -> 2^1(0(5(2(2(0(2(1(x1))))))))
   5^1(4(4(1(5(1(5(5(5(1(3(0(x1)))))))))))) -> 0^1(5(2(2(0(2(1(x1)))))))
   5^1(4(4(1(5(1(5(5(5(1(3(0(x1)))))))))))) -> 5^1(2(2(0(2(1(x1))))))
   5^1(4(4(1(5(1(5(5(5(1(3(0(x1)))))))))))) -> 2^1(2(0(2(1(x1)))))
   5^1(4(4(1(5(1(5(5(5(1(3(0(x1)))))))))))) -> 2^1(0(2(1(x1))))
   5^1(4(4(1(5(1(5(5(5(1(3(0(x1)))))))))))) -> 0^1(2(1(x1)))
   5^1(4(4(1(5(1(5(5(5(1(3(0(x1)))))))))))) -> 2^1(1(x1))
   5^1(4(4(1(5(1(5(5(5(1(3(0(x1)))))))))))) -> 1^1(x1)
   3^1(0(5(4(5(1(0(0(5(5(3(0(x1)))))))))))) -> 0^1(0(5(5(3(2(4(0(2(3(2(2(2(1(5(1(x1))))))))))))))))
   3^1(0(5(4(5(1(0(0(5(5(3(0(x1)))))))))))) -> 0^1(5(5(3(2(4(0(2(3(2(2(2(1(5(1(x1)))))))))))))))
   3^1(0(5(4(5(1(0(0(5(5(3(0(x1)))))))))))) -> 5^1(5(3(2(4(0(2(3(2(2(2(1(5(1(x1))))))))))))))
   3^1(0(5(4(5(1(0(0(5(5(3(0(x1)))))))))))) -> 5^1(3(2(4(0(2(3(2(2(2(1(5(1(x1)))))))))))))
   3^1(0(5(4(5(1(0(0(5(5(3(0(x1)))))))))))) -> 3^1(2(4(0(2(3(2(2(2(1(5(1(x1))))))))))))
   3^1(0(5(4(5(1(0(0(5(5(3(0(x1)))))))))))) -> 2^1(4(0(2(3(2(2(2(1(5(1(x1)))))))))))
   3^1(0(5(4(5(1(0(0(5(5(3(0(x1)))))))))))) -> 4^1(0(2(3(2(2(2(1(5(1(x1))))))))))
   3^1(0(5(4(5(1(0(0(5(5(3(0(x1)))))))))))) -> 0^1(2(3(2(2(2(1(5(1(x1)))))))))
   3^1(0(5(4(5(1(0(0(5(5(3(0(x1)))))))))))) -> 2^1(3(2(2(2(1(5(1(x1))))))))
   3^1(0(5(4(5(1(0(0(5(5(3(0(x1)))))))))))) -> 3^1(2(2(2(1(5(1(x1)))))))
   3^1(0(5(4(5(1(0(0(5(5(3(0(x1)))))))))))) -> 2^1(2(2(1(5(1(x1))))))
   3^1(0(5(4(5(1(0(0(5(5(3(0(x1)))))))))))) -> 2^1(2(1(5(1(x1)))))
   3^1(0(5(4(5(1(0(0(5(5(3(0(x1)))))))))))) -> 2^1(1(5(1(x1))))
   3^1(0(5(4(5(1(0(0(5(5(3(0(x1)))))))))))) -> 1^1(5(1(x1)))
   3^1(0(5(4(5(1(0(0(5(5(3(0(x1)))))))))))) -> 5^1(1(x1))
   3^1(0(5(4(5(1(0(0(5(5(3(0(x1)))))))))))) -> 1^1(x1)
   1^1(1(5(4(3(3(1(4(0(0(4(0(x1)))))))))))) -> 2^1(4(2(1(2(2(2(2(5(3(3(0(1(2(3(0(2(x1)))))))))))))))))
   1^1(1(5(4(3(3(1(4(0(0(4(0(x1)))))))))))) -> 4^1(2(1(2(2(2(2(5(3(3(0(1(2(3(0(2(x1))))))))))))))))
   1^1(1(5(4(3(3(1(4(0(0(4(0(x1)))))))))))) -> 2^1(1(2(2(2(2(5(3(3(0(1(2(3(0(2(x1)))))))))))))))
   1^1(1(5(4(3(3(1(4(0(0(4(0(x1)))))))))))) -> 1^1(2(2(2(2(5(3(3(0(1(2(3(0(2(x1))))))))))))))
   1^1(1(5(4(3(3(1(4(0(0(4(0(x1)))))))))))) -> 2^1(2(2(2(5(3(3(0(1(2(3(0(2(x1)))))))))))))
   1^1(1(5(4(3(3(1(4(0(0(4(0(x1)))))))))))) -> 2^1(2(2(5(3(3(0(1(2(3(0(2(x1))))))))))))
   1^1(1(5(4(3(3(1(4(0(0(4(0(x1)))))))))))) -> 2^1(2(5(3(3(0(1(2(3(0(2(x1)))))))))))
   1^1(1(5(4(3(3(1(4(0(0(4(0(x1)))))))))))) -> 2^1(5(3(3(0(1(2(3(0(2(x1))))))))))
   1^1(1(5(4(3(3(1(4(0(0(4(0(x1)))))))))))) -> 5^1(3(3(0(1(2(3(0(2(x1)))))))))
   1^1(1(5(4(3(3(1(4(0(0(4(0(x1)))))))))))) -> 3^1(3(0(1(2(3(0(2(x1))))))))
   1^1(1(5(4(3(3(1(4(0(0(4(0(x1)))))))))))) -> 3^1(0(1(2(3(0(2(x1)))))))
   1^1(1(5(4(3(3(1(4(0(0(4(0(x1)))))))))))) -> 0^1(1(2(3(0(2(x1))))))
   1^1(1(5(4(3(3(1(4(0(0(4(0(x1)))))))))))) -> 1^1(2(3(0(2(x1)))))
   1^1(1(5(4(3(3(1(4(0(0(4(0(x1)))))))))))) -> 2^1(3(0(2(x1))))
   1^1(1(5(4(3(3(1(4(0(0(4(0(x1)))))))))))) -> 3^1(0(2(x1)))
   1^1(1(5(4(3(3(1(4(0(0(4(0(x1)))))))))))) -> 0^1(2(x1))
   1^1(1(5(4(3(3(1(4(0(0(4(0(x1)))))))))))) -> 2^1(x1)
   5^1(5(5(1(0(0(2(5(0(0(4(0(x1)))))))))))) -> 3^1(2(2(4(0(0(2(4(0(1(2(1(2(4(0(3(x1))))))))))))))))
   5^1(5(5(1(0(0(2(5(0(0(4(0(x1)))))))))))) -> 2^1(2(4(0(0(2(4(0(1(2(1(2(4(0(3(x1)))))))))))))))
   5^1(5(5(1(0(0(2(5(0(0(4(0(x1)))))))))))) -> 2^1(4(0(0(2(4(0(1(2(1(2(4(0(3(x1))))))))))))))
   5^1(5(5(1(0(0(2(5(0(0(4(0(x1)))))))))))) -> 4^1(0(0(2(4(0(1(2(1(2(4(0(3(x1)))))))))))))
   5^1(5(5(1(0(0(2(5(0(0(4(0(x1)))))))))))) -> 0^1(0(2(4(0(1(2(1(2(4(0(3(x1))))))))))))
   5^1(5(5(1(0(0(2(5(0(0(4(0(x1)))))))))))) -> 0^1(2(4(0(1(2(1(2(4(0(3(x1)))))))))))
   5^1(5(5(1(0(0(2(5(0(0(4(0(x1)))))))))))) -> 2^1(4(0(1(2(1(2(4(0(3(x1))))))))))
   5^1(5(5(1(0(0(2(5(0(0(4(0(x1)))))))))))) -> 4^1(0(1(2(1(2(4(0(3(x1)))))))))
   5^1(5(5(1(0(0(2(5(0(0(4(0(x1)))))))))))) -> 0^1(1(2(1(2(4(0(3(x1))))))))
   5^1(5(5(1(0(0(2(5(0(0(4(0(x1)))))))))))) -> 1^1(2(1(2(4(0(3(x1)))))))
   5^1(5(5(1(0(0(2(5(0(0(4(0(x1)))))))))))) -> 2^1(1(2(4(0(3(x1))))))
   5^1(5(5(1(0(0(2(5(0(0(4(0(x1)))))))))))) -> 1^1(2(4(0(3(x1)))))
   5^1(5(5(1(0(0(2(5(0(0(4(0(x1)))))))))))) -> 2^1(4(0(3(x1))))
   5^1(5(5(1(0(0(2(5(0(0(4(0(x1)))))))))))) -> 4^1(0(3(x1)))
   5^1(5(5(1(0(0(2(5(0(0(4(0(x1)))))))))))) -> 0^1(3(x1))
   5^1(5(5(1(0(0(2(5(0(0(4(0(x1)))))))))))) -> 3^1(x1)
   0^1(3(1(4(5(0(4(3(3(0(4(0(x1)))))))))))) -> 2^1(1(4(2(2(2(0(1(1(2(1(2(0(4(2(x1)))))))))))))))
   0^1(3(1(4(5(0(4(3(3(0(4(0(x1)))))))))))) -> 1^1(4(2(2(2(0(1(1(2(1(2(0(4(2(x1))))))))))))))
   0^1(3(1(4(5(0(4(3(3(0(4(0(x1)))))))))))) -> 4^1(2(2(2(0(1(1(2(1(2(0(4(2(x1)))))))))))))
   0^1(3(1(4(5(0(4(3(3(0(4(0(x1)))))))))))) -> 2^1(2(2(0(1(1(2(1(2(0(4(2(x1))))))))))))
   0^1(3(1(4(5(0(4(3(3(0(4(0(x1)))))))))))) -> 2^1(2(0(1(1(2(1(2(0(4(2(x1)))))))))))
   0^1(3(1(4(5(0(4(3(3(0(4(0(x1)))))))))))) -> 2^1(0(1(1(2(1(2(0(4(2(x1))))))))))
   0^1(3(1(4(5(0(4(3(3(0(4(0(x1)))))))))))) -> 0^1(1(1(2(1(2(0(4(2(x1)))))))))
   0^1(3(1(4(5(0(4(3(3(0(4(0(x1)))))))))))) -> 1^1(1(2(1(2(0(4(2(x1))))))))
   0^1(3(1(4(5(0(4(3(3(0(4(0(x1)))))))))))) -> 1^1(2(1(2(0(4(2(x1)))))))
   0^1(3(1(4(5(0(4(3(3(0(4(0(x1)))))))))))) -> 2^1(1(2(0(4(2(x1))))))
   0^1(3(1(4(5(0(4(3(3(0(4(0(x1)))))))))))) -> 1^1(2(0(4(2(x1)))))
   0^1(3(1(4(5(0(4(3(3(0(4(0(x1)))))))))))) -> 2^1(0(4(2(x1))))
   0^1(3(1(4(5(0(4(3(3(0(4(0(x1)))))))))))) -> 0^1(4(2(x1)))
   0^1(3(1(4(5(0(4(3(3(0(4(0(x1)))))))))))) -> 4^1(2(x1))
   0^1(3(1(4(5(0(4(3(3(0(4(0(x1)))))))))))) -> 2^1(x1)
   0^1(0(0(4(0(0(3(0(4(3(4(0(x1)))))))))))) -> 0^1(0(1(2(2(2(0(5(1(2(1(2(2(2(5(2(1(0(x1))))))))))))))))))
   0^1(0(0(4(0(0(3(0(4(3(4(0(x1)))))))))))) -> 0^1(1(2(2(2(0(5(1(2(1(2(2(2(5(2(1(0(x1)))))))))))))))))
   0^1(0(0(4(0(0(3(0(4(3(4(0(x1)))))))))))) -> 1^1(2(2(2(0(5(1(2(1(2(2(2(5(2(1(0(x1))))))))))))))))
   0^1(0(0(4(0(0(3(0(4(3(4(0(x1)))))))))))) -> 2^1(2(2(0(5(1(2(1(2(2(2(5(2(1(0(x1)))))))))))))))
   0^1(0(0(4(0(0(3(0(4(3(4(0(x1)))))))))))) -> 2^1(2(0(5(1(2(1(2(2(2(5(2(1(0(x1))))))))))))))
   0^1(0(0(4(0(0(3(0(4(3(4(0(x1)))))))))))) -> 2^1(0(5(1(2(1(2(2(2(5(2(1(0(x1)))))))))))))
   0^1(0(0(4(0(0(3(0(4(3(4(0(x1)))))))))))) -> 0^1(5(1(2(1(2(2(2(5(2(1(0(x1))))))))))))
   0^1(0(0(4(0(0(3(0(4(3(4(0(x1)))))))))))) -> 5^1(1(2(1(2(2(2(5(2(1(0(x1)))))))))))
   0^1(0(0(4(0(0(3(0(4(3(4(0(x1)))))))))))) -> 1^1(2(1(2(2(2(5(2(1(0(x1))))))))))
   0^1(0(0(4(0(0(3(0(4(3(4(0(x1)))))))))))) -> 2^1(1(2(2(2(5(2(1(0(x1)))))))))
   0^1(0(0(4(0(0(3(0(4(3(4(0(x1)))))))))))) -> 1^1(2(2(2(5(2(1(0(x1))))))))
   0^1(0(0(4(0(0(3(0(4(3(4(0(x1)))))))))))) -> 2^1(2(2(5(2(1(0(x1)))))))
   0^1(0(0(4(0(0(3(0(4(3(4(0(x1)))))))))))) -> 2^1(2(5(2(1(0(x1))))))
   0^1(0(0(4(0(0(3(0(4(3(4(0(x1)))))))))))) -> 2^1(5(2(1(0(x1)))))
   0^1(0(0(4(0(0(3(0(4(3(4(0(x1)))))))))))) -> 5^1(2(1(0(x1))))
   0^1(0(0(4(0(0(3(0(4(3(4(0(x1)))))))))))) -> 2^1(1(0(x1)))
   0^1(0(0(4(0(0(3(0(4(3(4(0(x1)))))))))))) -> 1^1(0(x1))
   2^1(0(5(0(0(3(1(5(0(5(4(0(x1)))))))))))) -> 0^1(2(1(2(4(1(1(2(1(5(1(2(4(1(x1))))))))))))))
   2^1(0(5(0(0(3(1(5(0(5(4(0(x1)))))))))))) -> 2^1(1(2(4(1(1(2(1(5(1(2(4(1(x1)))))))))))))
   2^1(0(5(0(0(3(1(5(0(5(4(0(x1)))))))))))) -> 1^1(2(4(1(1(2(1(5(1(2(4(1(x1))))))))))))
   2^1(0(5(0(0(3(1(5(0(5(4(0(x1)))))))))))) -> 2^1(4(1(1(2(1(5(1(2(4(1(x1)))))))))))
   2^1(0(5(0(0(3(1(5(0(5(4(0(x1)))))))))))) -> 4^1(1(1(2(1(5(1(2(4(1(x1))))))))))
   2^1(0(5(0(0(3(1(5(0(5(4(0(x1)))))))))))) -> 1^1(1(2(1(5(1(2(4(1(x1)))))))))
   2^1(0(5(0(0(3(1(5(0(5(4(0(x1)))))))))))) -> 1^1(2(1(5(1(2(4(1(x1))))))))
   2^1(0(5(0(0(3(1(5(0(5(4(0(x1)))))))))))) -> 2^1(1(5(1(2(4(1(x1)))))))
   2^1(0(5(0(0(3(1(5(0(5(4(0(x1)))))))))))) -> 1^1(5(1(2(4(1(x1))))))
   2^1(0(5(0(0(3(1(5(0(5(4(0(x1)))))))))))) -> 5^1(1(2(4(1(x1)))))
   2^1(0(5(0(0(3(1(5(0(5(4(0(x1)))))))))))) -> 1^1(2(4(1(x1))))
   2^1(0(5(0(0(3(1(5(0(5(4(0(x1)))))))))))) -> 2^1(4(1(x1)))
   2^1(0(5(0(0(3(1(5(0(5(4(0(x1)))))))))))) -> 4^1(1(x1))
   2^1(0(5(0(0(3(1(5(0(5(4(0(x1)))))))))))) -> 1^1(x1)
   4^1(4(0(4(3(3(0(4(1(5(4(0(x1)))))))))))) -> 4^1(1(3(1(2(5(3(3(1(2(4(2(1(2(2(5(x1))))))))))))))))
   4^1(4(0(4(3(3(0(4(1(5(4(0(x1)))))))))))) -> 1^1(3(1(2(5(3(3(1(2(4(2(1(2(2(5(x1)))))))))))))))
   4^1(4(0(4(3(3(0(4(1(5(4(0(x1)))))))))))) -> 3^1(1(2(5(3(3(1(2(4(2(1(2(2(5(x1))))))))))))))
   4^1(4(0(4(3(3(0(4(1(5(4(0(x1)))))))))))) -> 1^1(2(5(3(3(1(2(4(2(1(2(2(5(x1)))))))))))))
   4^1(4(0(4(3(3(0(4(1(5(4(0(x1)))))))))))) -> 2^1(5(3(3(1(2(4(2(1(2(2(5(x1))))))))))))
   4^1(4(0(4(3(3(0(4(1(5(4(0(x1)))))))))))) -> 5^1(3(3(1(2(4(2(1(2(2(5(x1)))))))))))
   4^1(4(0(4(3(3(0(4(1(5(4(0(x1)))))))))))) -> 3^1(3(1(2(4(2(1(2(2(5(x1))))))))))
   4^1(4(0(4(3(3(0(4(1(5(4(0(x1)))))))))))) -> 3^1(1(2(4(2(1(2(2(5(x1)))))))))
   4^1(4(0(4(3(3(0(4(1(5(4(0(x1)))))))))))) -> 1^1(2(4(2(1(2(2(5(x1))))))))
   4^1(4(0(4(3(3(0(4(1(5(4(0(x1)))))))))))) -> 2^1(4(2(1(2(2(5(x1)))))))
   4^1(4(0(4(3(3(0(4(1(5(4(0(x1)))))))))))) -> 4^1(2(1(2(2(5(x1))))))
   4^1(4(0(4(3(3(0(4(1(5(4(0(x1)))))))))))) -> 2^1(1(2(2(5(x1)))))
   4^1(4(0(4(3(3(0(4(1(5(4(0(x1)))))))))))) -> 1^1(2(2(5(x1))))
   4^1(4(0(4(3(3(0(4(1(5(4(0(x1)))))))))))) -> 2^1(2(5(x1)))
   4^1(4(0(4(3(3(0(4(1(5(4(0(x1)))))))))))) -> 2^1(5(x1))
   4^1(4(0(4(3(3(0(4(1(5(4(0(x1)))))))))))) -> 5^1(x1)
   3^1(5(5(3(5(0(5(1(1(0(5(0(x1)))))))))))) -> 2^1(3(2(1(3(3(0(2(3(1(0(2(0(2(1(x1)))))))))))))))
   3^1(5(5(3(5(0(5(1(1(0(5(0(x1)))))))))))) -> 3^1(2(1(3(3(0(2(3(1(0(2(0(2(1(x1))))))))))))))
   3^1(5(5(3(5(0(5(1(1(0(5(0(x1)))))))))))) -> 2^1(1(3(3(0(2(3(1(0(2(0(2(1(x1)))))))))))))
   3^1(5(5(3(5(0(5(1(1(0(5(0(x1)))))))))))) -> 1^1(3(3(0(2(3(1(0(2(0(2(1(x1))))))))))))
   3^1(5(5(3(5(0(5(1(1(0(5(0(x1)))))))))))) -> 3^1(3(0(2(3(1(0(2(0(2(1(x1)))))))))))
   3^1(5(5(3(5(0(5(1(1(0(5(0(x1)))))))))))) -> 3^1(0(2(3(1(0(2(0(2(1(x1))))))))))
   3^1(5(5(3(5(0(5(1(1(0(5(0(x1)))))))))))) -> 0^1(2(3(1(0(2(0(2(1(x1)))))))))
   3^1(5(5(3(5(0(5(1(1(0(5(0(x1)))))))))))) -> 2^1(3(1(0(2(0(2(1(x1))))))))
   3^1(5(5(3(5(0(5(1(1(0(5(0(x1)))))))))))) -> 3^1(1(0(2(0(2(1(x1)))))))
   3^1(5(5(3(5(0(5(1(1(0(5(0(x1)))))))))))) -> 1^1(0(2(0(2(1(x1))))))
   3^1(5(5(3(5(0(5(1(1(0(5(0(x1)))))))))))) -> 0^1(2(0(2(1(x1)))))
   3^1(5(5(3(5(0(5(1(1(0(5(0(x1)))))))))))) -> 2^1(0(2(1(x1))))
   3^1(5(5(3(5(0(5(1(1(0(5(0(x1)))))))))))) -> 0^1(2(1(x1)))
   3^1(5(5(3(5(0(5(1(1(0(5(0(x1)))))))))))) -> 2^1(1(x1))
   3^1(5(5(3(5(0(5(1(1(0(5(0(x1)))))))))))) -> 1^1(x1)
   2^1(3(1(4(4(5(3(2(1(0(5(0(x1)))))))))))) -> 3^1(5(2(2(2(2(5(0(2(2(1(1(4(2(1(x1)))))))))))))))
   2^1(3(1(4(4(5(3(2(1(0(5(0(x1)))))))))))) -> 5^1(2(2(2(2(5(0(2(2(1(1(4(2(1(x1))))))))))))))
   2^1(3(1(4(4(5(3(2(1(0(5(0(x1)))))))))))) -> 2^1(2(2(2(5(0(2(2(1(1(4(2(1(x1)))))))))))))
   2^1(3(1(4(4(5(3(2(1(0(5(0(x1)))))))))))) -> 2^1(2(2(5(0(2(2(1(1(4(2(1(x1))))))))))))
   2^1(3(1(4(4(5(3(2(1(0(5(0(x1)))))))))))) -> 2^1(2(5(0(2(2(1(1(4(2(1(x1)))))))))))
   2^1(3(1(4(4(5(3(2(1(0(5(0(x1)))))))))))) -> 2^1(5(0(2(2(1(1(4(2(1(x1))))))))))
   2^1(3(1(4(4(5(3(2(1(0(5(0(x1)))))))))))) -> 5^1(0(2(2(1(1(4(2(1(x1)))))))))
   2^1(3(1(4(4(5(3(2(1(0(5(0(x1)))))))))))) -> 0^1(2(2(1(1(4(2(1(x1))))))))
   2^1(3(1(4(4(5(3(2(1(0(5(0(x1)))))))))))) -> 2^1(2(1(1(4(2(1(x1)))))))
   2^1(3(1(4(4(5(3(2(1(0(5(0(x1)))))))))))) -> 2^1(1(1(4(2(1(x1))))))
   2^1(3(1(4(4(5(3(2(1(0(5(0(x1)))))))))))) -> 1^1(1(4(2(1(x1)))))
   2^1(3(1(4(4(5(3(2(1(0(5(0(x1)))))))))))) -> 1^1(4(2(1(x1))))
   2^1(3(1(4(4(5(3(2(1(0(5(0(x1)))))))))))) -> 4^1(2(1(x1)))
   2^1(3(1(4(4(5(3(2(1(0(5(0(x1)))))))))))) -> 2^1(1(x1))
   2^1(3(1(4(4(5(3(2(1(0(5(0(x1)))))))))))) -> 1^1(x1)
   2^1(0(4(4(0(3(0(0(3(0(5(0(x1)))))))))))) -> 2^1(3(2(0(2(1(2(1(4(2(2(2(3(2(2(1(0(2(x1))))))))))))))))))
   2^1(0(4(4(0(3(0(0(3(0(5(0(x1)))))))))))) -> 3^1(2(0(2(1(2(1(4(2(2(2(3(2(2(1(0(2(x1)))))))))))))))))
   2^1(0(4(4(0(3(0(0(3(0(5(0(x1)))))))))))) -> 2^1(0(2(1(2(1(4(2(2(2(3(2(2(1(0(2(x1))))))))))))))))
   2^1(0(4(4(0(3(0(0(3(0(5(0(x1)))))))))))) -> 0^1(2(1(2(1(4(2(2(2(3(2(2(1(0(2(x1)))))))))))))))
   2^1(0(4(4(0(3(0(0(3(0(5(0(x1)))))))))))) -> 2^1(1(2(1(4(2(2(2(3(2(2(1(0(2(x1))))))))))))))
   2^1(0(4(4(0(3(0(0(3(0(5(0(x1)))))))))))) -> 1^1(2(1(4(2(2(2(3(2(2(1(0(2(x1)))))))))))))
   2^1(0(4(4(0(3(0(0(3(0(5(0(x1)))))))))))) -> 2^1(1(4(2(2(2(3(2(2(1(0(2(x1))))))))))))
   2^1(0(4(4(0(3(0(0(3(0(5(0(x1)))))))))))) -> 1^1(4(2(2(2(3(2(2(1(0(2(x1)))))))))))
   2^1(0(4(4(0(3(0(0(3(0(5(0(x1)))))))))))) -> 4^1(2(2(2(3(2(2(1(0(2(x1))))))))))
   2^1(0(4(4(0(3(0(0(3(0(5(0(x1)))))))))))) -> 2^1(2(2(3(2(2(1(0(2(x1)))))))))
   2^1(0(4(4(0(3(0(0(3(0(5(0(x1)))))))))))) -> 2^1(2(3(2(2(1(0(2(x1))))))))
   2^1(0(4(4(0(3(0(0(3(0(5(0(x1)))))))))))) -> 2^1(3(2(2(1(0(2(x1)))))))
   2^1(0(4(4(0(3(0(0(3(0(5(0(x1)))))))))))) -> 3^1(2(2(1(0(2(x1))))))
   2^1(0(4(4(0(3(0(0(3(0(5(0(x1)))))))))))) -> 2^1(2(1(0(2(x1)))))
   2^1(0(4(4(0(3(0(0(3(0(5(0(x1)))))))))))) -> 2^1(1(0(2(x1))))
   2^1(0(4(4(0(3(0(0(3(0(5(0(x1)))))))))))) -> 1^1(0(2(x1)))
   2^1(0(4(4(0(3(0(0(3(0(5(0(x1)))))))))))) -> 0^1(2(x1))
   2^1(0(4(4(0(3(0(0(3(0(5(0(x1)))))))))))) -> 2^1(x1)
   3^1(4(5(5(5(0(0(5(4(0(5(0(x1)))))))))))) -> 3^1(5(5(3(2(4(5(2(4(3(2(5(1(2(2(2(2(2(x1))))))))))))))))))
   3^1(4(5(5(5(0(0(5(4(0(5(0(x1)))))))))))) -> 5^1(5(3(2(4(5(2(4(3(2(5(1(2(2(2(2(2(x1)))))))))))))))))
   3^1(4(5(5(5(0(0(5(4(0(5(0(x1)))))))))))) -> 5^1(3(2(4(5(2(4(3(2(5(1(2(2(2(2(2(x1))))))))))))))))
   3^1(4(5(5(5(0(0(5(4(0(5(0(x1)))))))))))) -> 3^1(2(4(5(2(4(3(2(5(1(2(2(2(2(2(x1)))))))))))))))
   3^1(4(5(5(5(0(0(5(4(0(5(0(x1)))))))))))) -> 2^1(4(5(2(4(3(2(5(1(2(2(2(2(2(x1))))))))))))))
   3^1(4(5(5(5(0(0(5(4(0(5(0(x1)))))))))))) -> 4^1(5(2(4(3(2(5(1(2(2(2(2(2(x1)))))))))))))
   3^1(4(5(5(5(0(0(5(4(0(5(0(x1)))))))))))) -> 5^1(2(4(3(2(5(1(2(2(2(2(2(x1))))))))))))
   3^1(4(5(5(5(0(0(5(4(0(5(0(x1)))))))))))) -> 2^1(4(3(2(5(1(2(2(2(2(2(x1)))))))))))
   3^1(4(5(5(5(0(0(5(4(0(5(0(x1)))))))))))) -> 4^1(3(2(5(1(2(2(2(2(2(x1))))))))))
   3^1(4(5(5(5(0(0(5(4(0(5(0(x1)))))))))))) -> 3^1(2(5(1(2(2(2(2(2(x1)))))))))
   3^1(4(5(5(5(0(0(5(4(0(5(0(x1)))))))))))) -> 2^1(5(1(2(2(2(2(2(x1))))))))
   3^1(4(5(5(5(0(0(5(4(0(5(0(x1)))))))))))) -> 5^1(1(2(2(2(2(2(x1)))))))
   3^1(4(5(5(5(0(0(5(4(0(5(0(x1)))))))))))) -> 1^1(2(2(2(2(2(x1))))))
   3^1(4(5(5(5(0(0(5(4(0(5(0(x1)))))))))))) -> 2^1(2(2(2(2(x1)))))
   3^1(4(5(5(5(0(0(5(4(0(5(0(x1)))))))))))) -> 2^1(2(2(2(x1))))
   3^1(4(5(5(5(0(0(5(4(0(5(0(x1)))))))))))) -> 2^1(2(2(x1)))
   3^1(4(5(5(5(0(0(5(4(0(5(0(x1)))))))))))) -> 2^1(2(x1))
   3^1(4(5(5(5(0(0(5(4(0(5(0(x1)))))))))))) -> 2^1(x1)
   5^1(4(5(0(5(1(3(1(1(1(5(0(x1)))))))))))) -> 4^1(0(5(2(2(0(2(4(2(2(1(2(1(3(3(x1)))))))))))))))
   5^1(4(5(0(5(1(3(1(1(1(5(0(x1)))))))))))) -> 0^1(5(2(2(0(2(4(2(2(1(2(1(3(3(x1))))))))))))))
   5^1(4(5(0(5(1(3(1(1(1(5(0(x1)))))))))))) -> 5^1(2(2(0(2(4(2(2(1(2(1(3(3(x1)))))))))))))
   5^1(4(5(0(5(1(3(1(1(1(5(0(x1)))))))))))) -> 2^1(2(0(2(4(2(2(1(2(1(3(3(x1))))))))))))
   5^1(4(5(0(5(1(3(1(1(1(5(0(x1)))))))))))) -> 2^1(0(2(4(2(2(1(2(1(3(3(x1)))))))))))
   5^1(4(5(0(5(1(3(1(1(1(5(0(x1)))))))))))) -> 0^1(2(4(2(2(1(2(1(3(3(x1))))))))))
   5^1(4(5(0(5(1(3(1(1(1(5(0(x1)))))))))))) -> 2^1(4(2(2(1(2(1(3(3(x1)))))))))
   5^1(4(5(0(5(1(3(1(1(1(5(0(x1)))))))))))) -> 4^1(2(2(1(2(1(3(3(x1))))))))
   5^1(4(5(0(5(1(3(1(1(1(5(0(x1)))))))))))) -> 2^1(2(1(2(1(3(3(x1)))))))
   5^1(4(5(0(5(1(3(1(1(1(5(0(x1)))))))))))) -> 2^1(1(2(1(3(3(x1))))))
   5^1(4(5(0(5(1(3(1(1(1(5(0(x1)))))))))))) -> 1^1(2(1(3(3(x1)))))
   5^1(4(5(0(5(1(3(1(1(1(5(0(x1)))))))))))) -> 2^1(1(3(3(x1))))
   5^1(4(5(0(5(1(3(1(1(1(5(0(x1)))))))))))) -> 1^1(3(3(x1)))
   5^1(4(5(0(5(1(3(1(1(1(5(0(x1)))))))))))) -> 3^1(3(x1))
   5^1(4(5(0(5(1(3(1(1(1(5(0(x1)))))))))))) -> 3^1(x1)
   4^1(4(4(5(5(3(2(5(1(3(5(0(x1)))))))))))) -> 5^1(5(2(4(2(4(4(2(2(1(2(5(5(3(1(2(5(x1)))))))))))))))))
   4^1(4(4(5(5(3(2(5(1(3(5(0(x1)))))))))))) -> 5^1(2(4(2(4(4(2(2(1(2(5(5(3(1(2(5(x1))))))))))))))))
   4^1(4(4(5(5(3(2(5(1(3(5(0(x1)))))))))))) -> 2^1(4(2(4(4(2(2(1(2(5(5(3(1(2(5(x1)))))))))))))))
   4^1(4(4(5(5(3(2(5(1(3(5(0(x1)))))))))))) -> 4^1(2(4(4(2(2(1(2(5(5(3(1(2(5(x1))))))))))))))
   4^1(4(4(5(5(3(2(5(1(3(5(0(x1)))))))))))) -> 2^1(4(4(2(2(1(2(5(5(3(1(2(5(x1)))))))))))))
   4^1(4(4(5(5(3(2(5(1(3(5(0(x1)))))))))))) -> 4^1(4(2(2(1(2(5(5(3(1(2(5(x1))))))))))))
   4^1(4(4(5(5(3(2(5(1(3(5(0(x1)))))))))))) -> 4^1(2(2(1(2(5(5(3(1(2(5(x1)))))))))))
   4^1(4(4(5(5(3(2(5(1(3(5(0(x1)))))))))))) -> 2^1(2(1(2(5(5(3(1(2(5(x1))))))))))
   4^1(4(4(5(5(3(2(5(1(3(5(0(x1)))))))))))) -> 2^1(1(2(5(5(3(1(2(5(x1)))))))))
   4^1(4(4(5(5(3(2(5(1(3(5(0(x1)))))))))))) -> 1^1(2(5(5(3(1(2(5(x1))))))))
   4^1(4(4(5(5(3(2(5(1(3(5(0(x1)))))))))))) -> 2^1(5(5(3(1(2(5(x1)))))))
   4^1(4(4(5(5(3(2(5(1(3(5(0(x1)))))))))))) -> 5^1(5(3(1(2(5(x1))))))
   4^1(4(4(5(5(3(2(5(1(3(5(0(x1)))))))))))) -> 5^1(3(1(2(5(x1)))))
   4^1(4(4(5(5(3(2(5(1(3(5(0(x1)))))))))))) -> 3^1(1(2(5(x1))))
   4^1(4(4(5(5(3(2(5(1(3(5(0(x1)))))))))))) -> 1^1(2(5(x1)))
   4^1(4(4(5(5(3(2(5(1(3(5(0(x1)))))))))))) -> 2^1(5(x1))
   4^1(4(4(5(5(3(2(5(1(3(5(0(x1)))))))))))) -> 5^1(x1)
   4^1(3(4(5(4(1(2(2(1(4(5(0(x1)))))))))))) -> 1^1(2(0(3(3(3(1(2(3(1(2(2(0(1(x1))))))))))))))
   4^1(3(4(5(4(1(2(2(1(4(5(0(x1)))))))))))) -> 2^1(0(3(3(3(1(2(3(1(2(2(0(1(x1)))))))))))))
   4^1(3(4(5(4(1(2(2(1(4(5(0(x1)))))))))))) -> 0^1(3(3(3(1(2(3(1(2(2(0(1(x1))))))))))))
   4^1(3(4(5(4(1(2(2(1(4(5(0(x1)))))))))))) -> 3^1(3(3(1(2(3(1(2(2(0(1(x1)))))))))))
   4^1(3(4(5(4(1(2(2(1(4(5(0(x1)))))))))))) -> 3^1(3(1(2(3(1(2(2(0(1(x1))))))))))
   4^1(3(4(5(4(1(2(2(1(4(5(0(x1)))))))))))) -> 3^1(1(2(3(1(2(2(0(1(x1)))))))))
   4^1(3(4(5(4(1(2(2(1(4(5(0(x1)))))))))))) -> 1^1(2(3(1(2(2(0(1(x1))))))))
   4^1(3(4(5(4(1(2(2(1(4(5(0(x1)))))))))))) -> 2^1(3(1(2(2(0(1(x1)))))))
   4^1(3(4(5(4(1(2(2(1(4(5(0(x1)))))))))))) -> 3^1(1(2(2(0(1(x1))))))
   4^1(3(4(5(4(1(2(2(1(4(5(0(x1)))))))))))) -> 1^1(2(2(0(1(x1)))))
   4^1(3(4(5(4(1(2(2(1(4(5(0(x1)))))))))))) -> 2^1(2(0(1(x1))))
   4^1(3(4(5(4(1(2(2(1(4(5(0(x1)))))))))))) -> 2^1(0(1(x1)))
   4^1(3(4(5(4(1(2(2(1(4(5(0(x1)))))))))))) -> 0^1(1(x1))
   4^1(3(4(5(4(1(2(2(1(4(5(0(x1)))))))))))) -> 1^1(x1)
   3^1(3(0(1(4(4(0(0(4(4(5(0(x1)))))))))))) -> 2^1(2(2(4(1(4(2(1(2(1(3(2(5(4(4(4(x1))))))))))))))))
   3^1(3(0(1(4(4(0(0(4(4(5(0(x1)))))))))))) -> 2^1(2(4(1(4(2(1(2(1(3(2(5(4(4(4(x1)))))))))))))))
   3^1(3(0(1(4(4(0(0(4(4(5(0(x1)))))))))))) -> 2^1(4(1(4(2(1(2(1(3(2(5(4(4(4(x1))))))))))))))
   3^1(3(0(1(4(4(0(0(4(4(5(0(x1)))))))))))) -> 4^1(1(4(2(1(2(1(3(2(5(4(4(4(x1)))))))))))))
   3^1(3(0(1(4(4(0(0(4(4(5(0(x1)))))))))))) -> 1^1(4(2(1(2(1(3(2(5(4(4(4(x1))))))))))))
   3^1(3(0(1(4(4(0(0(4(4(5(0(x1)))))))))))) -> 4^1(2(1(2(1(3(2(5(4(4(4(x1)))))))))))
   3^1(3(0(1(4(4(0(0(4(4(5(0(x1)))))))))))) -> 2^1(1(2(1(3(2(5(4(4(4(x1))))))))))
   3^1(3(0(1(4(4(0(0(4(4(5(0(x1)))))))))))) -> 1^1(2(1(3(2(5(4(4(4(x1)))))))))
   3^1(3(0(1(4(4(0(0(4(4(5(0(x1)))))))))))) -> 2^1(1(3(2(5(4(4(4(x1))))))))
   3^1(3(0(1(4(4(0(0(4(4(5(0(x1)))))))))))) -> 1^1(3(2(5(4(4(4(x1)))))))
   3^1(3(0(1(4(4(0(0(4(4(5(0(x1)))))))))))) -> 3^1(2(5(4(4(4(x1))))))
   3^1(3(0(1(4(4(0(0(4(4(5(0(x1)))))))))))) -> 2^1(5(4(4(4(x1)))))
   3^1(3(0(1(4(4(0(0(4(4(5(0(x1)))))))))))) -> 5^1(4(4(4(x1))))
   3^1(3(0(1(4(4(0(0(4(4(5(0(x1)))))))))))) -> 4^1(4(4(x1)))
   3^1(3(0(1(4(4(0(0(4(4(5(0(x1)))))))))))) -> 4^1(4(x1))
   3^1(3(0(1(4(4(0(0(4(4(5(0(x1)))))))))))) -> 4^1(x1)
   2^1(1(3(0(1(4(5(1(4(5(0(1(x1)))))))))))) -> 2^1(1(5(0(0(2(5(0(2(2(2(3(2(2(3(1(1(2(x1))))))))))))))))))
   2^1(1(3(0(1(4(5(1(4(5(0(1(x1)))))))))))) -> 1^1(5(0(0(2(5(0(2(2(2(3(2(2(3(1(1(2(x1)))))))))))))))))
   2^1(1(3(0(1(4(5(1(4(5(0(1(x1)))))))))))) -> 5^1(0(0(2(5(0(2(2(2(3(2(2(3(1(1(2(x1))))))))))))))))
   2^1(1(3(0(1(4(5(1(4(5(0(1(x1)))))))))))) -> 0^1(0(2(5(0(2(2(2(3(2(2(3(1(1(2(x1)))))))))))))))
   2^1(1(3(0(1(4(5(1(4(5(0(1(x1)))))))))))) -> 0^1(2(5(0(2(2(2(3(2(2(3(1(1(2(x1))))))))))))))
   2^1(1(3(0(1(4(5(1(4(5(0(1(x1)))))))))))) -> 2^1(5(0(2(2(2(3(2(2(3(1(1(2(x1)))))))))))))
   2^1(1(3(0(1(4(5(1(4(5(0(1(x1)))))))))))) -> 5^1(0(2(2(2(3(2(2(3(1(1(2(x1))))))))))))
   2^1(1(3(0(1(4(5(1(4(5(0(1(x1)))))))))))) -> 0^1(2(2(2(3(2(2(3(1(1(2(x1)))))))))))
   2^1(1(3(0(1(4(5(1(4(5(0(1(x1)))))))))))) -> 2^1(2(2(3(2(2(3(1(1(2(x1))))))))))
   2^1(1(3(0(1(4(5(1(4(5(0(1(x1)))))))))))) -> 2^1(2(3(2(2(3(1(1(2(x1)))))))))
   2^1(1(3(0(1(4(5(1(4(5(0(1(x1)))))))))))) -> 2^1(3(2(2(3(1(1(2(x1))))))))
   2^1(1(3(0(1(4(5(1(4(5(0(1(x1)))))))))))) -> 3^1(2(2(3(1(1(2(x1)))))))
   2^1(1(3(0(1(4(5(1(4(5(0(1(x1)))))))))))) -> 2^1(2(3(1(1(2(x1))))))
   2^1(1(3(0(1(4(5(1(4(5(0(1(x1)))))))))))) -> 2^1(3(1(1(2(x1)))))
   2^1(1(3(0(1(4(5(1(4(5(0(1(x1)))))))))))) -> 3^1(1(1(2(x1))))
   2^1(1(3(0(1(4(5(1(4(5(0(1(x1)))))))))))) -> 1^1(1(2(x1)))
   2^1(1(3(0(1(4(5(1(4(5(0(1(x1)))))))))))) -> 1^1(2(x1))
   2^1(1(3(0(1(4(5(1(4(5(0(1(x1)))))))))))) -> 2^1(x1)
   4^1(0(1(4(0(0(1(1(5(5(2(1(x1)))))))))))) -> 4^1(5(2(4(2(1(5(1(2(3(5(3(1(2(2(x1)))))))))))))))
   4^1(0(1(4(0(0(1(1(5(5(2(1(x1)))))))))))) -> 5^1(2(4(2(1(5(1(2(3(5(3(1(2(2(x1))))))))))))))
   4^1(0(1(4(0(0(1(1(5(5(2(1(x1)))))))))))) -> 2^1(4(2(1(5(1(2(3(5(3(1(2(2(x1)))))))))))))
   4^1(0(1(4(0(0(1(1(5(5(2(1(x1)))))))))))) -> 4^1(2(1(5(1(2(3(5(3(1(2(2(x1))))))))))))
   4^1(0(1(4(0(0(1(1(5(5(2(1(x1)))))))))))) -> 2^1(1(5(1(2(3(5(3(1(2(2(x1)))))))))))
   4^1(0(1(4(0(0(1(1(5(5(2(1(x1)))))))))))) -> 1^1(5(1(2(3(5(3(1(2(2(x1))))))))))
   4^1(0(1(4(0(0(1(1(5(5(2(1(x1)))))))))))) -> 5^1(1(2(3(5(3(1(2(2(x1)))))))))
   4^1(0(1(4(0(0(1(1(5(5(2(1(x1)))))))))))) -> 1^1(2(3(5(3(1(2(2(x1))))))))
   4^1(0(1(4(0(0(1(1(5(5(2(1(x1)))))))))))) -> 2^1(3(5(3(1(2(2(x1)))))))
   4^1(0(1(4(0(0(1(1(5(5(2(1(x1)))))))))))) -> 3^1(5(3(1(2(2(x1))))))
   4^1(0(1(4(0(0(1(1(5(5(2(1(x1)))))))))))) -> 5^1(3(1(2(2(x1)))))
   4^1(0(1(4(0(0(1(1(5(5(2(1(x1)))))))))))) -> 3^1(1(2(2(x1))))
   4^1(0(1(4(0(0(1(1(5(5(2(1(x1)))))))))))) -> 1^1(2(2(x1)))
   4^1(0(1(4(0(0(1(1(5(5(2(1(x1)))))))))))) -> 2^1(2(x1))
   4^1(0(1(4(0(0(1(1(5(5(2(1(x1)))))))))))) -> 2^1(x1)
   4^1(1(1(3(1(0(3(5(0(0(3(1(x1)))))))))))) -> 4^1(2(4(2(2(3(5(0(2(3(2(2(2(2(2(x1)))))))))))))))
   4^1(1(1(3(1(0(3(5(0(0(3(1(x1)))))))))))) -> 2^1(4(2(2(3(5(0(2(3(2(2(2(2(2(x1))))))))))))))
   4^1(1(1(3(1(0(3(5(0(0(3(1(x1)))))))))))) -> 4^1(2(2(3(5(0(2(3(2(2(2(2(2(x1)))))))))))))
   4^1(1(1(3(1(0(3(5(0(0(3(1(x1)))))))))))) -> 2^1(2(3(5(0(2(3(2(2(2(2(2(x1))))))))))))
   4^1(1(1(3(1(0(3(5(0(0(3(1(x1)))))))))))) -> 2^1(3(5(0(2(3(2(2(2(2(2(x1)))))))))))
   4^1(1(1(3(1(0(3(5(0(0(3(1(x1)))))))))))) -> 3^1(5(0(2(3(2(2(2(2(2(x1))))))))))
   4^1(1(1(3(1(0(3(5(0(0(3(1(x1)))))))))))) -> 5^1(0(2(3(2(2(2(2(2(x1)))))))))
   4^1(1(1(3(1(0(3(5(0(0(3(1(x1)))))))))))) -> 0^1(2(3(2(2(2(2(2(x1))))))))
   4^1(1(1(3(1(0(3(5(0(0(3(1(x1)))))))))))) -> 2^1(3(2(2(2(2(2(x1)))))))
   4^1(1(1(3(1(0(3(5(0(0(3(1(x1)))))))))))) -> 3^1(2(2(2(2(2(x1))))))
   4^1(1(1(3(1(0(3(5(0(0(3(1(x1)))))))))))) -> 2^1(2(2(2(2(x1)))))
   4^1(1(1(3(1(0(3(5(0(0(3(1(x1)))))))))))) -> 2^1(2(2(2(x1))))
   4^1(1(1(3(1(0(3(5(0(0(3(1(x1)))))))))))) -> 2^1(2(2(x1)))
   4^1(1(1(3(1(0(3(5(0(0(3(1(x1)))))))))))) -> 2^1(2(x1))
   4^1(1(1(3(1(0(3(5(0(0(3(1(x1)))))))))))) -> 2^1(x1)
   4^1(3(3(4(3(1(5(1(4(1(3(1(x1)))))))))))) -> 2^1(2(5(2(1(2(1(2(3(4(2(1(4(2(1(2(1(x1)))))))))))))))))
   4^1(3(3(4(3(1(5(1(4(1(3(1(x1)))))))))))) -> 2^1(5(2(1(2(1(2(3(4(2(1(4(2(1(2(1(x1))))))))))))))))
   4^1(3(3(4(3(1(5(1(4(1(3(1(x1)))))))))))) -> 5^1(2(1(2(1(2(3(4(2(1(4(2(1(2(1(x1)))))))))))))))
   4^1(3(3(4(3(1(5(1(4(1(3(1(x1)))))))))))) -> 2^1(1(2(1(2(3(4(2(1(4(2(1(2(1(x1))))))))))))))
   4^1(3(3(4(3(1(5(1(4(1(3(1(x1)))))))))))) -> 1^1(2(1(2(3(4(2(1(4(2(1(2(1(x1)))))))))))))
   4^1(3(3(4(3(1(5(1(4(1(3(1(x1)))))))))))) -> 2^1(1(2(3(4(2(1(4(2(1(2(1(x1))))))))))))
   4^1(3(3(4(3(1(5(1(4(1(3(1(x1)))))))))))) -> 1^1(2(3(4(2(1(4(2(1(2(1(x1)))))))))))
   4^1(3(3(4(3(1(5(1(4(1(3(1(x1)))))))))))) -> 2^1(3(4(2(1(4(2(1(2(1(x1))))))))))
   4^1(3(3(4(3(1(5(1(4(1(3(1(x1)))))))))))) -> 3^1(4(2(1(4(2(1(2(1(x1)))))))))
   4^1(3(3(4(3(1(5(1(4(1(3(1(x1)))))))))))) -> 4^1(2(1(4(2(1(2(1(x1))))))))
   4^1(3(3(4(3(1(5(1(4(1(3(1(x1)))))))))))) -> 2^1(1(4(2(1(2(1(x1)))))))
   4^1(3(3(4(3(1(5(1(4(1(3(1(x1)))))))))))) -> 1^1(4(2(1(2(1(x1))))))
   4^1(3(3(4(3(1(5(1(4(1(3(1(x1)))))))))))) -> 4^1(2(1(2(1(x1)))))
   4^1(3(3(4(3(1(5(1(4(1(3(1(x1)))))))))))) -> 2^1(1(2(1(x1))))
   4^1(3(3(4(3(1(5(1(4(1(3(1(x1)))))))))))) -> 1^1(2(1(x1)))
   4^1(3(3(4(3(1(5(1(4(1(3(1(x1)))))))))))) -> 2^1(1(x1))
   5^1(3(3(3(3(0(1(3(1(4(3(1(x1)))))))))))) -> 4^1(4(3(3(4(2(2(5(2(2(1(2(2(1(2(x1)))))))))))))))
   5^1(3(3(3(3(0(1(3(1(4(3(1(x1)))))))))))) -> 4^1(3(3(4(2(2(5(2(2(1(2(2(1(2(x1))))))))))))))
   5^1(3(3(3(3(0(1(3(1(4(3(1(x1)))))))))))) -> 3^1(3(4(2(2(5(2(2(1(2(2(1(2(x1)))))))))))))
   5^1(3(3(3(3(0(1(3(1(4(3(1(x1)))))))))))) -> 3^1(4(2(2(5(2(2(1(2(2(1(2(x1))))))))))))
   5^1(3(3(3(3(0(1(3(1(4(3(1(x1)))))))))))) -> 4^1(2(2(5(2(2(1(2(2(1(2(x1)))))))))))
   5^1(3(3(3(3(0(1(3(1(4(3(1(x1)))))))))))) -> 2^1(2(5(2(2(1(2(2(1(2(x1))))))))))
   5^1(3(3(3(3(0(1(3(1(4(3(1(x1)))))))))))) -> 2^1(5(2(2(1(2(2(1(2(x1)))))))))
   5^1(3(3(3(3(0(1(3(1(4(3(1(x1)))))))))))) -> 5^1(2(2(1(2(2(1(2(x1))))))))
   5^1(3(3(3(3(0(1(3(1(4(3(1(x1)))))))))))) -> 2^1(2(1(2(2(1(2(x1)))))))
   5^1(3(3(3(3(0(1(3(1(4(3(1(x1)))))))))))) -> 2^1(1(2(2(1(2(x1))))))
   5^1(3(3(3(3(0(1(3(1(4(3(1(x1)))))))))))) -> 1^1(2(2(1(2(x1)))))
   5^1(3(3(3(3(0(1(3(1(4(3(1(x1)))))))))))) -> 2^1(2(1(2(x1))))
   5^1(3(3(3(3(0(1(3(1(4(3(1(x1)))))))))))) -> 2^1(1(2(x1)))
   5^1(3(3(3(3(0(1(3(1(4(3(1(x1)))))))))))) -> 1^1(2(x1))
   5^1(3(3(3(3(0(1(3(1(4(3(1(x1)))))))))))) -> 2^1(x1)
   0^1(1(3(4(3(3(1(4(4(3(4(1(x1)))))))))))) -> 0^1(4(1(2(5(0(1(2(2(0(2(4(2(2(2(2(1(x1)))))))))))))))))
   0^1(1(3(4(3(3(1(4(4(3(4(1(x1)))))))))))) -> 4^1(1(2(5(0(1(2(2(0(2(4(2(2(2(2(1(x1))))))))))))))))
   0^1(1(3(4(3(3(1(4(4(3(4(1(x1)))))))))))) -> 1^1(2(5(0(1(2(2(0(2(4(2(2(2(2(1(x1)))))))))))))))
   0^1(1(3(4(3(3(1(4(4(3(4(1(x1)))))))))))) -> 2^1(5(0(1(2(2(0(2(4(2(2(2(2(1(x1))))))))))))))
   0^1(1(3(4(3(3(1(4(4(3(4(1(x1)))))))))))) -> 5^1(0(1(2(2(0(2(4(2(2(2(2(1(x1)))))))))))))
   0^1(1(3(4(3(3(1(4(4(3(4(1(x1)))))))))))) -> 0^1(1(2(2(0(2(4(2(2(2(2(1(x1))))))))))))
   0^1(1(3(4(3(3(1(4(4(3(4(1(x1)))))))))))) -> 1^1(2(2(0(2(4(2(2(2(2(1(x1)))))))))))
   0^1(1(3(4(3(3(1(4(4(3(4(1(x1)))))))))))) -> 2^1(2(0(2(4(2(2(2(2(1(x1))))))))))
   0^1(1(3(4(3(3(1(4(4(3(4(1(x1)))))))))))) -> 2^1(0(2(4(2(2(2(2(1(x1)))))))))
   0^1(1(3(4(3(3(1(4(4(3(4(1(x1)))))))))))) -> 0^1(2(4(2(2(2(2(1(x1))))))))
   0^1(1(3(4(3(3(1(4(4(3(4(1(x1)))))))))))) -> 2^1(4(2(2(2(2(1(x1)))))))
   0^1(1(3(4(3(3(1(4(4(3(4(1(x1)))))))))))) -> 4^1(2(2(2(2(1(x1))))))
   0^1(1(3(4(3(3(1(4(4(3(4(1(x1)))))))))))) -> 2^1(2(2(2(1(x1)))))
   0^1(1(3(4(3(3(1(4(4(3(4(1(x1)))))))))))) -> 2^1(2(2(1(x1))))
   0^1(1(3(4(3(3(1(4(4(3(4(1(x1)))))))))))) -> 2^1(2(1(x1)))
   0^1(1(3(4(3(3(1(4(4(3(4(1(x1)))))))))))) -> 2^1(1(x1))
   3^1(2(1(1(5(4(1(1(4(5(4(1(x1)))))))))))) -> 5^1(2(2(2(2(3(2(2(4(4(3(0(4(3(x1))))))))))))))
   3^1(2(1(1(5(4(1(1(4(5(4(1(x1)))))))))))) -> 2^1(2(2(2(3(2(2(4(4(3(0(4(3(x1)))))))))))))
   3^1(2(1(1(5(4(1(1(4(5(4(1(x1)))))))))))) -> 2^1(2(2(3(2(2(4(4(3(0(4(3(x1))))))))))))
   3^1(2(1(1(5(4(1(1(4(5(4(1(x1)))))))))))) -> 2^1(2(3(2(2(4(4(3(0(4(3(x1)))))))))))
   3^1(2(1(1(5(4(1(1(4(5(4(1(x1)))))))))))) -> 2^1(3(2(2(4(4(3(0(4(3(x1))))))))))
   3^1(2(1(1(5(4(1(1(4(5(4(1(x1)))))))))))) -> 3^1(2(2(4(4(3(0(4(3(x1)))))))))
   3^1(2(1(1(5(4(1(1(4(5(4(1(x1)))))))))))) -> 2^1(2(4(4(3(0(4(3(x1))))))))
   3^1(2(1(1(5(4(1(1(4(5(4(1(x1)))))))))))) -> 2^1(4(4(3(0(4(3(x1)))))))
   3^1(2(1(1(5(4(1(1(4(5(4(1(x1)))))))))))) -> 4^1(4(3(0(4(3(x1))))))
   3^1(2(1(1(5(4(1(1(4(5(4(1(x1)))))))))))) -> 4^1(3(0(4(3(x1)))))
   3^1(2(1(1(5(4(1(1(4(5(4(1(x1)))))))))))) -> 3^1(0(4(3(x1))))
   3^1(2(1(1(5(4(1(1(4(5(4(1(x1)))))))))))) -> 0^1(4(3(x1)))
   3^1(2(1(1(5(4(1(1(4(5(4(1(x1)))))))))))) -> 4^1(3(x1))
   3^1(2(1(1(5(4(1(1(4(5(4(1(x1)))))))))))) -> 3^1(x1)
   5^1(2(4(5(3(2(5(3(3(5(5(1(x1)))))))))))) -> 4^1(3(3(2(3(4(2(2(2(1(0(2(2(0(x1))))))))))))))
   5^1(2(4(5(3(2(5(3(3(5(5(1(x1)))))))))))) -> 3^1(3(2(3(4(2(2(2(1(0(2(2(0(x1)))))))))))))
   5^1(2(4(5(3(2(5(3(3(5(5(1(x1)))))))))))) -> 3^1(2(3(4(2(2(2(1(0(2(2(0(x1))))))))))))
   5^1(2(4(5(3(2(5(3(3(5(5(1(x1)))))))))))) -> 2^1(3(4(2(2(2(1(0(2(2(0(x1)))))))))))
   5^1(2(4(5(3(2(5(3(3(5(5(1(x1)))))))))))) -> 3^1(4(2(2(2(1(0(2(2(0(x1))))))))))
   5^1(2(4(5(3(2(5(3(3(5(5(1(x1)))))))))))) -> 4^1(2(2(2(1(0(2(2(0(x1)))))))))
   5^1(2(4(5(3(2(5(3(3(5(5(1(x1)))))))))))) -> 2^1(2(2(1(0(2(2(0(x1))))))))
   5^1(2(4(5(3(2(5(3(3(5(5(1(x1)))))))))))) -> 2^1(2(1(0(2(2(0(x1)))))))
   5^1(2(4(5(3(2(5(3(3(5(5(1(x1)))))))))))) -> 2^1(1(0(2(2(0(x1))))))
   5^1(2(4(5(3(2(5(3(3(5(5(1(x1)))))))))))) -> 1^1(0(2(2(0(x1)))))
   5^1(2(4(5(3(2(5(3(3(5(5(1(x1)))))))))))) -> 0^1(2(2(0(x1))))
   5^1(2(4(5(3(2(5(3(3(5(5(1(x1)))))))))))) -> 2^1(2(0(x1)))
   5^1(2(4(5(3(2(5(3(3(5(5(1(x1)))))))))))) -> 2^1(0(x1))
   5^1(2(4(5(3(2(5(3(3(5(5(1(x1)))))))))))) -> 0^1(x1)
   4^1(1(3(1(0(1(1(4(5(3(0(2(x1)))))))))))) -> 0^1(2(2(5(1(2(3(3(3(4(2(5(4(2(1(3(x1))))))))))))))))
   4^1(1(3(1(0(1(1(4(5(3(0(2(x1)))))))))))) -> 2^1(2(5(1(2(3(3(3(4(2(5(4(2(1(3(x1)))))))))))))))
   4^1(1(3(1(0(1(1(4(5(3(0(2(x1)))))))))))) -> 2^1(5(1(2(3(3(3(4(2(5(4(2(1(3(x1))))))))))))))
   4^1(1(3(1(0(1(1(4(5(3(0(2(x1)))))))))))) -> 5^1(1(2(3(3(3(4(2(5(4(2(1(3(x1)))))))))))))
   4^1(1(3(1(0(1(1(4(5(3(0(2(x1)))))))))))) -> 1^1(2(3(3(3(4(2(5(4(2(1(3(x1))))))))))))
   4^1(1(3(1(0(1(1(4(5(3(0(2(x1)))))))))))) -> 2^1(3(3(3(4(2(5(4(2(1(3(x1)))))))))))
   4^1(1(3(1(0(1(1(4(5(3(0(2(x1)))))))))))) -> 3^1(3(3(4(2(5(4(2(1(3(x1))))))))))
   4^1(1(3(1(0(1(1(4(5(3(0(2(x1)))))))))))) -> 3^1(3(4(2(5(4(2(1(3(x1)))))))))
   4^1(1(3(1(0(1(1(4(5(3(0(2(x1)))))))))))) -> 3^1(4(2(5(4(2(1(3(x1))))))))
   4^1(1(3(1(0(1(1(4(5(3(0(2(x1)))))))))))) -> 4^1(2(5(4(2(1(3(x1)))))))
   4^1(1(3(1(0(1(1(4(5(3(0(2(x1)))))))))))) -> 2^1(5(4(2(1(3(x1))))))
   4^1(1(3(1(0(1(1(4(5(3(0(2(x1)))))))))))) -> 5^1(4(2(1(3(x1)))))
   4^1(1(3(1(0(1(1(4(5(3(0(2(x1)))))))))))) -> 4^1(2(1(3(x1))))
   4^1(1(3(1(0(1(1(4(5(3(0(2(x1)))))))))))) -> 2^1(1(3(x1)))
   4^1(1(3(1(0(1(1(4(5(3(0(2(x1)))))))))))) -> 1^1(3(x1))
   4^1(1(3(1(0(1(1(4(5(3(0(2(x1)))))))))))) -> 3^1(x1)
   4^1(0(0(4(3(2(4(0(0(4(1(2(x1)))))))))))) -> 1^1(1(2(3(1(2(3(2(4(5(2(5(5(4(x1))))))))))))))
   4^1(0(0(4(3(2(4(0(0(4(1(2(x1)))))))))))) -> 1^1(2(3(1(2(3(2(4(5(2(5(5(4(x1)))))))))))))
   4^1(0(0(4(3(2(4(0(0(4(1(2(x1)))))))))))) -> 2^1(3(1(2(3(2(4(5(2(5(5(4(x1))))))))))))
   4^1(0(0(4(3(2(4(0(0(4(1(2(x1)))))))))))) -> 3^1(1(2(3(2(4(5(2(5(5(4(x1)))))))))))
   4^1(0(0(4(3(2(4(0(0(4(1(2(x1)))))))))))) -> 1^1(2(3(2(4(5(2(5(5(4(x1))))))))))
   4^1(0(0(4(3(2(4(0(0(4(1(2(x1)))))))))))) -> 2^1(3(2(4(5(2(5(5(4(x1)))))))))
   4^1(0(0(4(3(2(4(0(0(4(1(2(x1)))))))))))) -> 3^1(2(4(5(2(5(5(4(x1))))))))
   4^1(0(0(4(3(2(4(0(0(4(1(2(x1)))))))))))) -> 2^1(4(5(2(5(5(4(x1)))))))
   4^1(0(0(4(3(2(4(0(0(4(1(2(x1)))))))))))) -> 4^1(5(2(5(5(4(x1))))))
   4^1(0(0(4(3(2(4(0(0(4(1(2(x1)))))))))))) -> 5^1(2(5(5(4(x1)))))
   4^1(0(0(4(3(2(4(0(0(4(1(2(x1)))))))))))) -> 2^1(5(5(4(x1))))
   4^1(0(0(4(3(2(4(0(0(4(1(2(x1)))))))))))) -> 5^1(5(4(x1)))
   4^1(0(0(4(3(2(4(0(0(4(1(2(x1)))))))))))) -> 5^1(4(x1))
   4^1(0(0(4(3(2(4(0(0(4(1(2(x1)))))))))))) -> 4^1(x1)
   5^1(1(1(0(2(0(0(1(0(0(3(2(x1)))))))))))) -> 2^1(4(5(5(2(1(2(5(4(4(1(2(5(3(2(x1)))))))))))))))
   5^1(1(1(0(2(0(0(1(0(0(3(2(x1)))))))))))) -> 4^1(5(5(2(1(2(5(4(4(1(2(5(3(2(x1))))))))))))))
   5^1(1(1(0(2(0(0(1(0(0(3(2(x1)))))))))))) -> 5^1(5(2(1(2(5(4(4(1(2(5(3(2(x1)))))))))))))
   5^1(1(1(0(2(0(0(1(0(0(3(2(x1)))))))))))) -> 5^1(2(1(2(5(4(4(1(2(5(3(2(x1))))))))))))
   5^1(1(1(0(2(0(0(1(0(0(3(2(x1)))))))))))) -> 2^1(1(2(5(4(4(1(2(5(3(2(x1)))))))))))
   5^1(1(1(0(2(0(0(1(0(0(3(2(x1)))))))))))) -> 1^1(2(5(4(4(1(2(5(3(2(x1))))))))))
   5^1(1(1(0(2(0(0(1(0(0(3(2(x1)))))))))))) -> 2^1(5(4(4(1(2(5(3(2(x1)))))))))
   5^1(1(1(0(2(0(0(1(0(0(3(2(x1)))))))))))) -> 5^1(4(4(1(2(5(3(2(x1))))))))
   5^1(1(1(0(2(0(0(1(0(0(3(2(x1)))))))))))) -> 4^1(4(1(2(5(3(2(x1)))))))
   5^1(1(1(0(2(0(0(1(0(0(3(2(x1)))))))))))) -> 4^1(1(2(5(3(2(x1))))))
   5^1(1(1(0(2(0(0(1(0(0(3(2(x1)))))))))))) -> 1^1(2(5(3(2(x1)))))
   5^1(1(1(0(2(0(0(1(0(0(3(2(x1)))))))))))) -> 2^1(5(3(2(x1))))
   5^1(1(1(0(2(0(0(1(0(0(3(2(x1)))))))))))) -> 5^1(3(2(x1)))
   3^1(5(2(5(1(4(3(0(1(0(3(2(x1)))))))))))) -> 1^1(5(2(2(2(2(4(2(2(4(1(2(1(5(4(0(x1))))))))))))))))
   3^1(5(2(5(1(4(3(0(1(0(3(2(x1)))))))))))) -> 5^1(2(2(2(2(4(2(2(4(1(2(1(5(4(0(x1)))))))))))))))
   3^1(5(2(5(1(4(3(0(1(0(3(2(x1)))))))))))) -> 2^1(2(2(2(4(2(2(4(1(2(1(5(4(0(x1))))))))))))))
   3^1(5(2(5(1(4(3(0(1(0(3(2(x1)))))))))))) -> 2^1(2(2(4(2(2(4(1(2(1(5(4(0(x1)))))))))))))
   3^1(5(2(5(1(4(3(0(1(0(3(2(x1)))))))))))) -> 2^1(2(4(2(2(4(1(2(1(5(4(0(x1))))))))))))
   3^1(5(2(5(1(4(3(0(1(0(3(2(x1)))))))))))) -> 2^1(4(2(2(4(1(2(1(5(4(0(x1)))))))))))
   3^1(5(2(5(1(4(3(0(1(0(3(2(x1)))))))))))) -> 4^1(2(2(4(1(2(1(5(4(0(x1))))))))))
   3^1(5(2(5(1(4(3(0(1(0(3(2(x1)))))))))))) -> 2^1(2(4(1(2(1(5(4(0(x1)))))))))
   3^1(5(2(5(1(4(3(0(1(0(3(2(x1)))))))))))) -> 2^1(4(1(2(1(5(4(0(x1))))))))
   3^1(5(2(5(1(4(3(0(1(0(3(2(x1)))))))))))) -> 4^1(1(2(1(5(4(0(x1)))))))
   3^1(5(2(5(1(4(3(0(1(0(3(2(x1)))))))))))) -> 1^1(2(1(5(4(0(x1))))))
   3^1(5(2(5(1(4(3(0(1(0(3(2(x1)))))))))))) -> 2^1(1(5(4(0(x1)))))
   3^1(5(2(5(1(4(3(0(1(0(3(2(x1)))))))))))) -> 1^1(5(4(0(x1))))
   3^1(5(2(5(1(4(3(0(1(0(3(2(x1)))))))))))) -> 5^1(4(0(x1)))
   3^1(5(2(5(1(4(3(0(1(0(3(2(x1)))))))))))) -> 4^1(0(x1))
   3^1(5(2(5(1(4(3(0(1(0(3(2(x1)))))))))))) -> 0^1(x1)
   0^1(1(0(4(5(5(1(5(1(3(3(2(x1)))))))))))) -> 2^1(4(2(2(4(1(2(3(4(5(0(4(2(1(x1))))))))))))))
   0^1(1(0(4(5(5(1(5(1(3(3(2(x1)))))))))))) -> 4^1(2(2(4(1(2(3(4(5(0(4(2(1(x1)))))))))))))
   0^1(1(0(4(5(5(1(5(1(3(3(2(x1)))))))))))) -> 2^1(2(4(1(2(3(4(5(0(4(2(1(x1))))))))))))
   0^1(1(0(4(5(5(1(5(1(3(3(2(x1)))))))))))) -> 2^1(4(1(2(3(4(5(0(4(2(1(x1)))))))))))
   0^1(1(0(4(5(5(1(5(1(3(3(2(x1)))))))))))) -> 4^1(1(2(3(4(5(0(4(2(1(x1))))))))))
   0^1(1(0(4(5(5(1(5(1(3(3(2(x1)))))))))))) -> 1^1(2(3(4(5(0(4(2(1(x1)))))))))
   0^1(1(0(4(5(5(1(5(1(3(3(2(x1)))))))))))) -> 2^1(3(4(5(0(4(2(1(x1))))))))
   0^1(1(0(4(5(5(1(5(1(3(3(2(x1)))))))))))) -> 3^1(4(5(0(4(2(1(x1)))))))
   0^1(1(0(4(5(5(1(5(1(3(3(2(x1)))))))))))) -> 4^1(5(0(4(2(1(x1))))))
   0^1(1(0(4(5(5(1(5(1(3(3(2(x1)))))))))))) -> 5^1(0(4(2(1(x1)))))
   0^1(1(0(4(5(5(1(5(1(3(3(2(x1)))))))))))) -> 0^1(4(2(1(x1))))
   0^1(1(0(4(5(5(1(5(1(3(3(2(x1)))))))))))) -> 4^1(2(1(x1)))
   0^1(1(0(4(5(5(1(5(1(3(3(2(x1)))))))))))) -> 2^1(1(x1))
   0^1(1(0(4(5(5(1(5(1(3(3(2(x1)))))))))))) -> 1^1(x1)
   4^1(5(0(5(5(0(0(5(5(5(3(2(x1)))))))))))) -> 4^1(0(5(2(5(2(2(2(2(1(5(0(2(0(5(x1)))))))))))))))
   4^1(5(0(5(5(0(0(5(5(5(3(2(x1)))))))))))) -> 0^1(5(2(5(2(2(2(2(1(5(0(2(0(5(x1))))))))))))))
   4^1(5(0(5(5(0(0(5(5(5(3(2(x1)))))))))))) -> 5^1(2(5(2(2(2(2(1(5(0(2(0(5(x1)))))))))))))
   4^1(5(0(5(5(0(0(5(5(5(3(2(x1)))))))))))) -> 2^1(5(2(2(2(2(1(5(0(2(0(5(x1))))))))))))
   4^1(5(0(5(5(0(0(5(5(5(3(2(x1)))))))))))) -> 5^1(2(2(2(2(1(5(0(2(0(5(x1)))))))))))
   4^1(5(0(5(5(0(0(5(5(5(3(2(x1)))))))))))) -> 2^1(2(2(2(1(5(0(2(0(5(x1))))))))))
   4^1(5(0(5(5(0(0(5(5(5(3(2(x1)))))))))))) -> 2^1(2(2(1(5(0(2(0(5(x1)))))))))
   4^1(5(0(5(5(0(0(5(5(5(3(2(x1)))))))))))) -> 2^1(2(1(5(0(2(0(5(x1))))))))
   4^1(5(0(5(5(0(0(5(5(5(3(2(x1)))))))))))) -> 2^1(1(5(0(2(0(5(x1)))))))
   4^1(5(0(5(5(0(0(5(5(5(3(2(x1)))))))))))) -> 1^1(5(0(2(0(5(x1))))))
   4^1(5(0(5(5(0(0(5(5(5(3(2(x1)))))))))))) -> 5^1(0(2(0(5(x1)))))
   4^1(5(0(5(5(0(0(5(5(5(3(2(x1)))))))))))) -> 0^1(2(0(5(x1))))
   4^1(5(0(5(5(0(0(5(5(5(3(2(x1)))))))))))) -> 2^1(0(5(x1)))
   4^1(5(0(5(5(0(0(5(5(5(3(2(x1)))))))))))) -> 0^1(5(x1))
   4^1(5(0(5(5(0(0(5(5(5(3(2(x1)))))))))))) -> 5^1(x1)
   4^1(3(3(5(1(5(0(5(3(5(4(2(x1)))))))))))) -> 2^1(2(2(4(2(5(3(1(3(1(0(5(2(2(x1))))))))))))))
   4^1(3(3(5(1(5(0(5(3(5(4(2(x1)))))))))))) -> 2^1(2(4(2(5(3(1(3(1(0(5(2(2(x1)))))))))))))
   4^1(3(3(5(1(5(0(5(3(5(4(2(x1)))))))))))) -> 2^1(4(2(5(3(1(3(1(0(5(2(2(x1))))))))))))
   4^1(3(3(5(1(5(0(5(3(5(4(2(x1)))))))))))) -> 4^1(2(5(3(1(3(1(0(5(2(2(x1)))))))))))
   4^1(3(3(5(1(5(0(5(3(5(4(2(x1)))))))))))) -> 2^1(5(3(1(3(1(0(5(2(2(x1))))))))))
   4^1(3(3(5(1(5(0(5(3(5(4(2(x1)))))))))))) -> 5^1(3(1(3(1(0(5(2(2(x1)))))))))
   4^1(3(3(5(1(5(0(5(3(5(4(2(x1)))))))))))) -> 3^1(1(3(1(0(5(2(2(x1))))))))
   4^1(3(3(5(1(5(0(5(3(5(4(2(x1)))))))))))) -> 1^1(3(1(0(5(2(2(x1)))))))
   4^1(3(3(5(1(5(0(5(3(5(4(2(x1)))))))))))) -> 3^1(1(0(5(2(2(x1))))))
   4^1(3(3(5(1(5(0(5(3(5(4(2(x1)))))))))))) -> 1^1(0(5(2(2(x1)))))
   4^1(3(3(5(1(5(0(5(3(5(4(2(x1)))))))))))) -> 0^1(5(2(2(x1))))
   4^1(3(3(5(1(5(0(5(3(5(4(2(x1)))))))))))) -> 5^1(2(2(x1)))
   4^1(3(3(5(1(5(0(5(3(5(4(2(x1)))))))))))) -> 2^1(2(x1))
   5^1(2(5(0(3(3(0(1(5(0(5(2(x1)))))))))))) -> 5^1(2(2(0(2(0(5(2(2(1(1(2(3(2(3(3(x1))))))))))))))))
   5^1(2(5(0(3(3(0(1(5(0(5(2(x1)))))))))))) -> 2^1(2(0(2(0(5(2(2(1(1(2(3(2(3(3(x1)))))))))))))))
   5^1(2(5(0(3(3(0(1(5(0(5(2(x1)))))))))))) -> 2^1(0(2(0(5(2(2(1(1(2(3(2(3(3(x1))))))))))))))
   5^1(2(5(0(3(3(0(1(5(0(5(2(x1)))))))))))) -> 0^1(2(0(5(2(2(1(1(2(3(2(3(3(x1)))))))))))))
   5^1(2(5(0(3(3(0(1(5(0(5(2(x1)))))))))))) -> 2^1(0(5(2(2(1(1(2(3(2(3(3(x1))))))))))))
   5^1(2(5(0(3(3(0(1(5(0(5(2(x1)))))))))))) -> 0^1(5(2(2(1(1(2(3(2(3(3(x1)))))))))))
   5^1(2(5(0(3(3(0(1(5(0(5(2(x1)))))))))))) -> 5^1(2(2(1(1(2(3(2(3(3(x1))))))))))
   5^1(2(5(0(3(3(0(1(5(0(5(2(x1)))))))))))) -> 2^1(2(1(1(2(3(2(3(3(x1)))))))))
   5^1(2(5(0(3(3(0(1(5(0(5(2(x1)))))))))))) -> 2^1(1(1(2(3(2(3(3(x1))))))))
   5^1(2(5(0(3(3(0(1(5(0(5(2(x1)))))))))))) -> 1^1(1(2(3(2(3(3(x1)))))))
   5^1(2(5(0(3(3(0(1(5(0(5(2(x1)))))))))))) -> 1^1(2(3(2(3(3(x1))))))
   5^1(2(5(0(3(3(0(1(5(0(5(2(x1)))))))))))) -> 2^1(3(2(3(3(x1)))))
   5^1(2(5(0(3(3(0(1(5(0(5(2(x1)))))))))))) -> 3^1(2(3(3(x1))))
   5^1(2(5(0(3(3(0(1(5(0(5(2(x1)))))))))))) -> 2^1(3(3(x1)))
   5^1(2(5(0(3(3(0(1(5(0(5(2(x1)))))))))))) -> 3^1(3(x1))
   5^1(2(5(0(3(3(0(1(5(0(5(2(x1)))))))))))) -> 3^1(x1)
   3^1(0(3(0(4(3(0(1(4(3(5(2(x1)))))))))))) -> 5^1(4(3(5(0(3(4(2(2(2(0(5(2(1(2(1(x1))))))))))))))))
   3^1(0(3(0(4(3(0(1(4(3(5(2(x1)))))))))))) -> 4^1(3(5(0(3(4(2(2(2(0(5(2(1(2(1(x1)))))))))))))))
   3^1(0(3(0(4(3(0(1(4(3(5(2(x1)))))))))))) -> 3^1(5(0(3(4(2(2(2(0(5(2(1(2(1(x1))))))))))))))
   3^1(0(3(0(4(3(0(1(4(3(5(2(x1)))))))))))) -> 5^1(0(3(4(2(2(2(0(5(2(1(2(1(x1)))))))))))))
   3^1(0(3(0(4(3(0(1(4(3(5(2(x1)))))))))))) -> 0^1(3(4(2(2(2(0(5(2(1(2(1(x1))))))))))))
   3^1(0(3(0(4(3(0(1(4(3(5(2(x1)))))))))))) -> 3^1(4(2(2(2(0(5(2(1(2(1(x1)))))))))))
   3^1(0(3(0(4(3(0(1(4(3(5(2(x1)))))))))))) -> 4^1(2(2(2(0(5(2(1(2(1(x1))))))))))
   3^1(0(3(0(4(3(0(1(4(3(5(2(x1)))))))))))) -> 2^1(2(2(0(5(2(1(2(1(x1)))))))))
   3^1(0(3(0(4(3(0(1(4(3(5(2(x1)))))))))))) -> 2^1(2(0(5(2(1(2(1(x1))))))))
   3^1(0(3(0(4(3(0(1(4(3(5(2(x1)))))))))))) -> 2^1(0(5(2(1(2(1(x1)))))))
   3^1(0(3(0(4(3(0(1(4(3(5(2(x1)))))))))))) -> 0^1(5(2(1(2(1(x1))))))
   3^1(0(3(0(4(3(0(1(4(3(5(2(x1)))))))))))) -> 5^1(2(1(2(1(x1)))))
   3^1(0(3(0(4(3(0(1(4(3(5(2(x1)))))))))))) -> 2^1(1(2(1(x1))))
   3^1(0(3(0(4(3(0(1(4(3(5(2(x1)))))))))))) -> 1^1(2(1(x1)))
   3^1(0(3(0(4(3(0(1(4(3(5(2(x1)))))))))))) -> 2^1(1(x1))
   3^1(0(3(0(4(3(0(1(4(3(5(2(x1)))))))))))) -> 1^1(x1)
   4^1(5(0(0(5(2(5(1(5(0(0(3(x1)))))))))))) -> 3^1(3(4(0(3(5(4(1(2(1(1(2(1(1(2(3(3(x1)))))))))))))))))
   4^1(5(0(0(5(2(5(1(5(0(0(3(x1)))))))))))) -> 3^1(4(0(3(5(4(1(2(1(1(2(1(1(2(3(3(x1))))))))))))))))
   4^1(5(0(0(5(2(5(1(5(0(0(3(x1)))))))))))) -> 4^1(0(3(5(4(1(2(1(1(2(1(1(2(3(3(x1)))))))))))))))
   4^1(5(0(0(5(2(5(1(5(0(0(3(x1)))))))))))) -> 0^1(3(5(4(1(2(1(1(2(1(1(2(3(3(x1))))))))))))))
   4^1(5(0(0(5(2(5(1(5(0(0(3(x1)))))))))))) -> 3^1(5(4(1(2(1(1(2(1(1(2(3(3(x1)))))))))))))
   4^1(5(0(0(5(2(5(1(5(0(0(3(x1)))))))))))) -> 5^1(4(1(2(1(1(2(1(1(2(3(3(x1))))))))))))
   4^1(5(0(0(5(2(5(1(5(0(0(3(x1)))))))))))) -> 4^1(1(2(1(1(2(1(1(2(3(3(x1)))))))))))
   4^1(5(0(0(5(2(5(1(5(0(0(3(x1)))))))))))) -> 1^1(2(1(1(2(1(1(2(3(3(x1))))))))))
   4^1(5(0(0(5(2(5(1(5(0(0(3(x1)))))))))))) -> 2^1(1(1(2(1(1(2(3(3(x1)))))))))
   4^1(5(0(0(5(2(5(1(5(0(0(3(x1)))))))))))) -> 1^1(1(2(1(1(2(3(3(x1))))))))
   4^1(5(0(0(5(2(5(1(5(0(0(3(x1)))))))))))) -> 1^1(2(1(1(2(3(3(x1)))))))
   4^1(5(0(0(5(2(5(1(5(0(0(3(x1)))))))))))) -> 2^1(1(1(2(3(3(x1))))))
   4^1(5(0(0(5(2(5(1(5(0(0(3(x1)))))))))))) -> 1^1(1(2(3(3(x1)))))
   4^1(5(0(0(5(2(5(1(5(0(0(3(x1)))))))))))) -> 1^1(2(3(3(x1))))
   4^1(5(0(0(5(2(5(1(5(0(0(3(x1)))))))))))) -> 2^1(3(3(x1)))
   4^1(5(0(0(5(2(5(1(5(0(0(3(x1)))))))))))) -> 3^1(3(x1))
   5^1(4(1(1(1(1(4(3(0(4(0(3(x1)))))))))))) -> 2^1(2(0(2(3(2(4(4(0(5(1(4(2(2(4(4(2(x1)))))))))))))))))
   5^1(4(1(1(1(1(4(3(0(4(0(3(x1)))))))))))) -> 2^1(0(2(3(2(4(4(0(5(1(4(2(2(4(4(2(x1))))))))))))))))
   5^1(4(1(1(1(1(4(3(0(4(0(3(x1)))))))))))) -> 0^1(2(3(2(4(4(0(5(1(4(2(2(4(4(2(x1)))))))))))))))
   5^1(4(1(1(1(1(4(3(0(4(0(3(x1)))))))))))) -> 2^1(3(2(4(4(0(5(1(4(2(2(4(4(2(x1))))))))))))))
   5^1(4(1(1(1(1(4(3(0(4(0(3(x1)))))))))))) -> 3^1(2(4(4(0(5(1(4(2(2(4(4(2(x1)))))))))))))
   5^1(4(1(1(1(1(4(3(0(4(0(3(x1)))))))))))) -> 2^1(4(4(0(5(1(4(2(2(4(4(2(x1))))))))))))
   5^1(4(1(1(1(1(4(3(0(4(0(3(x1)))))))))))) -> 4^1(4(0(5(1(4(2(2(4(4(2(x1)))))))))))
   5^1(4(1(1(1(1(4(3(0(4(0(3(x1)))))))))))) -> 4^1(0(5(1(4(2(2(4(4(2(x1))))))))))
   5^1(4(1(1(1(1(4(3(0(4(0(3(x1)))))))))))) -> 0^1(5(1(4(2(2(4(4(2(x1)))))))))
   5^1(4(1(1(1(1(4(3(0(4(0(3(x1)))))))))))) -> 5^1(1(4(2(2(4(4(2(x1))))))))
   5^1(4(1(1(1(1(4(3(0(4(0(3(x1)))))))))))) -> 1^1(4(2(2(4(4(2(x1)))))))
   5^1(4(1(1(1(1(4(3(0(4(0(3(x1)))))))))))) -> 4^1(2(2(4(4(2(x1))))))
   5^1(4(1(1(1(1(4(3(0(4(0(3(x1)))))))))))) -> 2^1(2(4(4(2(x1)))))
   5^1(4(1(1(1(1(4(3(0(4(0(3(x1)))))))))))) -> 2^1(4(4(2(x1))))
   5^1(4(1(1(1(1(4(3(0(4(0(3(x1)))))))))))) -> 4^1(4(2(x1)))
   5^1(4(1(1(1(1(4(3(0(4(0(3(x1)))))))))))) -> 4^1(2(x1))
   5^1(4(1(1(1(1(4(3(0(4(0(3(x1)))))))))))) -> 2^1(x1)
   3^1(4(1(1(4(5(0(0(1(4(0(3(x1)))))))))))) -> 4^1(3(5(2(3(0(2(1(5(4(2(2(2(3(3(x1)))))))))))))))
   3^1(4(1(1(4(5(0(0(1(4(0(3(x1)))))))))))) -> 3^1(5(2(3(0(2(1(5(4(2(2(2(3(3(x1))))))))))))))
   3^1(4(1(1(4(5(0(0(1(4(0(3(x1)))))))))))) -> 5^1(2(3(0(2(1(5(4(2(2(2(3(3(x1)))))))))))))
   3^1(4(1(1(4(5(0(0(1(4(0(3(x1)))))))))))) -> 2^1(3(0(2(1(5(4(2(2(2(3(3(x1))))))))))))
   3^1(4(1(1(4(5(0(0(1(4(0(3(x1)))))))))))) -> 3^1(0(2(1(5(4(2(2(2(3(3(x1)))))))))))
   3^1(4(1(1(4(5(0(0(1(4(0(3(x1)))))))))))) -> 0^1(2(1(5(4(2(2(2(3(3(x1))))))))))
   3^1(4(1(1(4(5(0(0(1(4(0(3(x1)))))))))))) -> 2^1(1(5(4(2(2(2(3(3(x1)))))))))
   3^1(4(1(1(4(5(0(0(1(4(0(3(x1)))))))))))) -> 1^1(5(4(2(2(2(3(3(x1))))))))
   3^1(4(1(1(4(5(0(0(1(4(0(3(x1)))))))))))) -> 5^1(4(2(2(2(3(3(x1)))))))
   3^1(4(1(1(4(5(0(0(1(4(0(3(x1)))))))))))) -> 4^1(2(2(2(3(3(x1))))))
   3^1(4(1(1(4(5(0(0(1(4(0(3(x1)))))))))))) -> 2^1(2(2(3(3(x1)))))
   3^1(4(1(1(4(5(0(0(1(4(0(3(x1)))))))))))) -> 2^1(2(3(3(x1))))
   3^1(4(1(1(4(5(0(0(1(4(0(3(x1)))))))))))) -> 2^1(3(3(x1)))
   3^1(4(1(1(4(5(0(0(1(4(0(3(x1)))))))))))) -> 3^1(3(x1))
   0^1(3(0(0(5(2(5(4(4(5(0(3(x1)))))))))))) -> 3^1(4(0(2(1(5(2(4(2(1(2(3(1(0(1(x1)))))))))))))))
   0^1(3(0(0(5(2(5(4(4(5(0(3(x1)))))))))))) -> 4^1(0(2(1(5(2(4(2(1(2(3(1(0(1(x1))))))))))))))
   0^1(3(0(0(5(2(5(4(4(5(0(3(x1)))))))))))) -> 0^1(2(1(5(2(4(2(1(2(3(1(0(1(x1)))))))))))))
   0^1(3(0(0(5(2(5(4(4(5(0(3(x1)))))))))))) -> 2^1(1(5(2(4(2(1(2(3(1(0(1(x1))))))))))))
   0^1(3(0(0(5(2(5(4(4(5(0(3(x1)))))))))))) -> 1^1(5(2(4(2(1(2(3(1(0(1(x1)))))))))))
   0^1(3(0(0(5(2(5(4(4(5(0(3(x1)))))))))))) -> 5^1(2(4(2(1(2(3(1(0(1(x1))))))))))
   0^1(3(0(0(5(2(5(4(4(5(0(3(x1)))))))))))) -> 2^1(4(2(1(2(3(1(0(1(x1)))))))))
   0^1(3(0(0(5(2(5(4(4(5(0(3(x1)))))))))))) -> 4^1(2(1(2(3(1(0(1(x1))))))))
   0^1(3(0(0(5(2(5(4(4(5(0(3(x1)))))))))))) -> 2^1(1(2(3(1(0(1(x1)))))))
   0^1(3(0(0(5(2(5(4(4(5(0(3(x1)))))))))))) -> 1^1(2(3(1(0(1(x1))))))
   0^1(3(0(0(5(2(5(4(4(5(0(3(x1)))))))))))) -> 2^1(3(1(0(1(x1)))))
   0^1(3(0(0(5(2(5(4(4(5(0(3(x1)))))))))))) -> 3^1(1(0(1(x1))))
   0^1(3(0(0(5(2(5(4(4(5(0(3(x1)))))))))))) -> 1^1(0(1(x1)))
   0^1(3(0(0(5(2(5(4(4(5(0(3(x1)))))))))))) -> 0^1(1(x1))
   0^1(3(0(0(5(2(5(4(4(5(0(3(x1)))))))))))) -> 1^1(x1)
   4^1(4(0(0(5(0(2(2(4(1(1(3(x1)))))))))))) -> 0^1(2(1(5(2(3(1(5(3(3(3(4(5(2(x1))))))))))))))
   4^1(4(0(0(5(0(2(2(4(1(1(3(x1)))))))))))) -> 2^1(1(5(2(3(1(5(3(3(3(4(5(2(x1)))))))))))))
   4^1(4(0(0(5(0(2(2(4(1(1(3(x1)))))))))))) -> 1^1(5(2(3(1(5(3(3(3(4(5(2(x1))))))))))))
   4^1(4(0(0(5(0(2(2(4(1(1(3(x1)))))))))))) -> 5^1(2(3(1(5(3(3(3(4(5(2(x1)))))))))))
   4^1(4(0(0(5(0(2(2(4(1(1(3(x1)))))))))))) -> 2^1(3(1(5(3(3(3(4(5(2(x1))))))))))
   4^1(4(0(0(5(0(2(2(4(1(1(3(x1)))))))))))) -> 3^1(1(5(3(3(3(4(5(2(x1)))))))))
   4^1(4(0(0(5(0(2(2(4(1(1(3(x1)))))))))))) -> 1^1(5(3(3(3(4(5(2(x1))))))))
   4^1(4(0(0(5(0(2(2(4(1(1(3(x1)))))))))))) -> 5^1(3(3(3(4(5(2(x1)))))))
   4^1(4(0(0(5(0(2(2(4(1(1(3(x1)))))))))))) -> 3^1(3(3(4(5(2(x1))))))
   4^1(4(0(0(5(0(2(2(4(1(1(3(x1)))))))))))) -> 3^1(3(4(5(2(x1)))))
   4^1(4(0(0(5(0(2(2(4(1(1(3(x1)))))))))))) -> 3^1(4(5(2(x1))))
   4^1(4(0(0(5(0(2(2(4(1(1(3(x1)))))))))))) -> 4^1(5(2(x1)))
   4^1(4(0(0(5(0(2(2(4(1(1(3(x1)))))))))))) -> 5^1(2(x1))
   4^1(4(0(0(5(0(2(2(4(1(1(3(x1)))))))))))) -> 2^1(x1)
   2^1(2(3(0(3(0(1(1(4(0(3(3(x1)))))))))))) -> 2^1(2(2(0(2(2(1(3(1(5(2(4(2(2(4(5(3(x1)))))))))))))))))
   2^1(2(3(0(3(0(1(1(4(0(3(3(x1)))))))))))) -> 2^1(2(0(2(2(1(3(1(5(2(4(2(2(4(5(3(x1))))))))))))))))
   2^1(2(3(0(3(0(1(1(4(0(3(3(x1)))))))))))) -> 2^1(0(2(2(1(3(1(5(2(4(2(2(4(5(3(x1)))))))))))))))
   2^1(2(3(0(3(0(1(1(4(0(3(3(x1)))))))))))) -> 0^1(2(2(1(3(1(5(2(4(2(2(4(5(3(x1))))))))))))))
   2^1(2(3(0(3(0(1(1(4(0(3(3(x1)))))))))))) -> 2^1(2(1(3(1(5(2(4(2(2(4(5(3(x1)))))))))))))
   2^1(2(3(0(3(0(1(1(4(0(3(3(x1)))))))))))) -> 2^1(1(3(1(5(2(4(2(2(4(5(3(x1))))))))))))
   2^1(2(3(0(3(0(1(1(4(0(3(3(x1)))))))))))) -> 1^1(3(1(5(2(4(2(2(4(5(3(x1)))))))))))
   2^1(2(3(0(3(0(1(1(4(0(3(3(x1)))))))))))) -> 3^1(1(5(2(4(2(2(4(5(3(x1))))))))))
   2^1(2(3(0(3(0(1(1(4(0(3(3(x1)))))))))))) -> 1^1(5(2(4(2(2(4(5(3(x1)))))))))
   2^1(2(3(0(3(0(1(1(4(0(3(3(x1)))))))))))) -> 5^1(2(4(2(2(4(5(3(x1))))))))
   2^1(2(3(0(3(0(1(1(4(0(3(3(x1)))))))))))) -> 2^1(4(2(2(4(5(3(x1)))))))
   2^1(2(3(0(3(0(1(1(4(0(3(3(x1)))))))))))) -> 4^1(2(2(4(5(3(x1))))))
   2^1(2(3(0(3(0(1(1(4(0(3(3(x1)))))))))))) -> 2^1(2(4(5(3(x1)))))
   2^1(2(3(0(3(0(1(1(4(0(3(3(x1)))))))))))) -> 2^1(4(5(3(x1))))
   2^1(2(3(0(3(0(1(1(4(0(3(3(x1)))))))))))) -> 4^1(5(3(x1)))
   2^1(2(3(0(3(0(1(1(4(0(3(3(x1)))))))))))) -> 5^1(3(x1))
   5^1(3(0(3(2(5(0(2(3(4(3(3(x1)))))))))))) -> 1^1(2(1(2(1(2(1(4(1(2(1(0(2(2(2(4(x1))))))))))))))))
   5^1(3(0(3(2(5(0(2(3(4(3(3(x1)))))))))))) -> 2^1(1(2(1(2(1(4(1(2(1(0(2(2(2(4(x1)))))))))))))))
   5^1(3(0(3(2(5(0(2(3(4(3(3(x1)))))))))))) -> 1^1(2(1(2(1(4(1(2(1(0(2(2(2(4(x1))))))))))))))
   5^1(3(0(3(2(5(0(2(3(4(3(3(x1)))))))))))) -> 2^1(1(2(1(4(1(2(1(0(2(2(2(4(x1)))))))))))))
   5^1(3(0(3(2(5(0(2(3(4(3(3(x1)))))))))))) -> 1^1(2(1(4(1(2(1(0(2(2(2(4(x1))))))))))))
   5^1(3(0(3(2(5(0(2(3(4(3(3(x1)))))))))))) -> 2^1(1(4(1(2(1(0(2(2(2(4(x1)))))))))))
   5^1(3(0(3(2(5(0(2(3(4(3(3(x1)))))))))))) -> 1^1(4(1(2(1(0(2(2(2(4(x1))))))))))
   5^1(3(0(3(2(5(0(2(3(4(3(3(x1)))))))))))) -> 4^1(1(2(1(0(2(2(2(4(x1)))))))))
   5^1(3(0(3(2(5(0(2(3(4(3(3(x1)))))))))))) -> 1^1(2(1(0(2(2(2(4(x1))))))))
   5^1(3(0(3(2(5(0(2(3(4(3(3(x1)))))))))))) -> 2^1(1(0(2(2(2(4(x1)))))))
   5^1(3(0(3(2(5(0(2(3(4(3(3(x1)))))))))))) -> 1^1(0(2(2(2(4(x1))))))
   5^1(3(0(3(2(5(0(2(3(4(3(3(x1)))))))))))) -> 0^1(2(2(2(4(x1)))))
   5^1(3(0(3(2(5(0(2(3(4(3(3(x1)))))))))))) -> 2^1(2(2(4(x1))))
   5^1(3(0(3(2(5(0(2(3(4(3(3(x1)))))))))))) -> 2^1(2(4(x1)))
   5^1(3(0(3(2(5(0(2(3(4(3(3(x1)))))))))))) -> 2^1(4(x1))
   5^1(3(0(3(2(5(0(2(3(4(3(3(x1)))))))))))) -> 4^1(x1)
   0^1(2(2(4(0(0(1(3(3(4(3(3(x1)))))))))))) -> 1^1(0(1(2(3(3(2(2(3(2(2(3(1(2(2(5(x1))))))))))))))))
   0^1(2(2(4(0(0(1(3(3(4(3(3(x1)))))))))))) -> 0^1(1(2(3(3(2(2(3(2(2(3(1(2(2(5(x1)))))))))))))))
   0^1(2(2(4(0(0(1(3(3(4(3(3(x1)))))))))))) -> 1^1(2(3(3(2(2(3(2(2(3(1(2(2(5(x1))))))))))))))
   0^1(2(2(4(0(0(1(3(3(4(3(3(x1)))))))))))) -> 2^1(3(3(2(2(3(2(2(3(1(2(2(5(x1)))))))))))))
   0^1(2(2(4(0(0(1(3(3(4(3(3(x1)))))))))))) -> 3^1(3(2(2(3(2(2(3(1(2(2(5(x1))))))))))))
   0^1(2(2(4(0(0(1(3(3(4(3(3(x1)))))))))))) -> 3^1(2(2(3(2(2(3(1(2(2(5(x1)))))))))))
   0^1(2(2(4(0(0(1(3(3(4(3(3(x1)))))))))))) -> 2^1(2(3(2(2(3(1(2(2(5(x1))))))))))
   0^1(2(2(4(0(0(1(3(3(4(3(3(x1)))))))))))) -> 2^1(3(2(2(3(1(2(2(5(x1)))))))))
   0^1(2(2(4(0(0(1(3(3(4(3(3(x1)))))))))))) -> 3^1(2(2(3(1(2(2(5(x1))))))))
   0^1(2(2(4(0(0(1(3(3(4(3(3(x1)))))))))))) -> 2^1(2(3(1(2(2(5(x1)))))))
   0^1(2(2(4(0(0(1(3(3(4(3(3(x1)))))))))))) -> 2^1(3(1(2(2(5(x1))))))
   0^1(2(2(4(0(0(1(3(3(4(3(3(x1)))))))))))) -> 3^1(1(2(2(5(x1)))))
   0^1(2(2(4(0(0(1(3(3(4(3(3(x1)))))))))))) -> 1^1(2(2(5(x1))))
   0^1(2(2(4(0(0(1(3(3(4(3(3(x1)))))))))))) -> 2^1(2(5(x1)))
   0^1(2(2(4(0(0(1(3(3(4(3(3(x1)))))))))))) -> 2^1(5(x1))
   0^1(2(2(4(0(0(1(3(3(4(3(3(x1)))))))))))) -> 5^1(x1)
   0^1(2(3(5(5(1(1(1(5(0(4(3(x1)))))))))))) -> 1^1(5(2(2(5(1(2(4(1(2(5(2(2(2(0(2(3(3(x1))))))))))))))))))
   0^1(2(3(5(5(1(1(1(5(0(4(3(x1)))))))))))) -> 5^1(2(2(5(1(2(4(1(2(5(2(2(2(0(2(3(3(x1)))))))))))))))))
   0^1(2(3(5(5(1(1(1(5(0(4(3(x1)))))))))))) -> 2^1(2(5(1(2(4(1(2(5(2(2(2(0(2(3(3(x1))))))))))))))))
   0^1(2(3(5(5(1(1(1(5(0(4(3(x1)))))))))))) -> 2^1(5(1(2(4(1(2(5(2(2(2(0(2(3(3(x1)))))))))))))))
   0^1(2(3(5(5(1(1(1(5(0(4(3(x1)))))))))))) -> 5^1(1(2(4(1(2(5(2(2(2(0(2(3(3(x1))))))))))))))
   0^1(2(3(5(5(1(1(1(5(0(4(3(x1)))))))))))) -> 1^1(2(4(1(2(5(2(2(2(0(2(3(3(x1)))))))))))))
   0^1(2(3(5(5(1(1(1(5(0(4(3(x1)))))))))))) -> 2^1(4(1(2(5(2(2(2(0(2(3(3(x1))))))))))))
   0^1(2(3(5(5(1(1(1(5(0(4(3(x1)))))))))))) -> 4^1(1(2(5(2(2(2(0(2(3(3(x1)))))))))))
   0^1(2(3(5(5(1(1(1(5(0(4(3(x1)))))))))))) -> 1^1(2(5(2(2(2(0(2(3(3(x1))))))))))
   0^1(2(3(5(5(1(1(1(5(0(4(3(x1)))))))))))) -> 2^1(5(2(2(2(0(2(3(3(x1)))))))))
   0^1(2(3(5(5(1(1(1(5(0(4(3(x1)))))))))))) -> 5^1(2(2(2(0(2(3(3(x1))))))))
   0^1(2(3(5(5(1(1(1(5(0(4(3(x1)))))))))))) -> 2^1(2(2(0(2(3(3(x1)))))))
   0^1(2(3(5(5(1(1(1(5(0(4(3(x1)))))))))))) -> 2^1(2(0(2(3(3(x1))))))
   0^1(2(3(5(5(1(1(1(5(0(4(3(x1)))))))))))) -> 2^1(0(2(3(3(x1)))))
   0^1(2(3(5(5(1(1(1(5(0(4(3(x1)))))))))))) -> 0^1(2(3(3(x1))))
   0^1(2(3(5(5(1(1(1(5(0(4(3(x1)))))))))))) -> 2^1(3(3(x1)))
   0^1(2(3(5(5(1(1(1(5(0(4(3(x1)))))))))))) -> 3^1(3(x1))
   5^1(3(0(3(3(3(5(4(4(1(4(3(x1)))))))))))) -> 3^1(2(4(1(2(4(2(2(4(2(1(5(2(1(4(2(x1))))))))))))))))
   5^1(3(0(3(3(3(5(4(4(1(4(3(x1)))))))))))) -> 2^1(4(1(2(4(2(2(4(2(1(5(2(1(4(2(x1)))))))))))))))
   5^1(3(0(3(3(3(5(4(4(1(4(3(x1)))))))))))) -> 4^1(1(2(4(2(2(4(2(1(5(2(1(4(2(x1))))))))))))))
   5^1(3(0(3(3(3(5(4(4(1(4(3(x1)))))))))))) -> 1^1(2(4(2(2(4(2(1(5(2(1(4(2(x1)))))))))))))
   5^1(3(0(3(3(3(5(4(4(1(4(3(x1)))))))))))) -> 2^1(4(2(2(4(2(1(5(2(1(4(2(x1))))))))))))
   5^1(3(0(3(3(3(5(4(4(1(4(3(x1)))))))))))) -> 4^1(2(2(4(2(1(5(2(1(4(2(x1)))))))))))
   5^1(3(0(3(3(3(5(4(4(1(4(3(x1)))))))))))) -> 2^1(2(4(2(1(5(2(1(4(2(x1))))))))))
   5^1(3(0(3(3(3(5(4(4(1(4(3(x1)))))))))))) -> 2^1(4(2(1(5(2(1(4(2(x1)))))))))
   5^1(3(0(3(3(3(5(4(4(1(4(3(x1)))))))))))) -> 4^1(2(1(5(2(1(4(2(x1))))))))
   5^1(3(0(3(3(3(5(4(4(1(4(3(x1)))))))))))) -> 2^1(1(5(2(1(4(2(x1)))))))
   5^1(3(0(3(3(3(5(4(4(1(4(3(x1)))))))))))) -> 1^1(5(2(1(4(2(x1))))))
   5^1(3(0(3(3(3(5(4(4(1(4(3(x1)))))))))))) -> 5^1(2(1(4(2(x1)))))
   5^1(3(0(3(3(3(5(4(4(1(4(3(x1)))))))))))) -> 2^1(1(4(2(x1))))
   5^1(3(0(3(3(3(5(4(4(1(4(3(x1)))))))))))) -> 1^1(4(2(x1)))
   5^1(3(0(3(3(3(5(4(4(1(4(3(x1)))))))))))) -> 4^1(2(x1))
   5^1(3(0(3(3(3(5(4(4(1(4(3(x1)))))))))))) -> 2^1(x1)
   4^1(4(5(4(1(4(5(1(5(3(4(3(x1)))))))))))) -> 1^1(5(4(4(2(3(3(2(3(2(1(2(4(2(4(2(1(x1)))))))))))))))))
   4^1(4(5(4(1(4(5(1(5(3(4(3(x1)))))))))))) -> 5^1(4(4(2(3(3(2(3(2(1(2(4(2(4(2(1(x1))))))))))))))))
   4^1(4(5(4(1(4(5(1(5(3(4(3(x1)))))))))))) -> 4^1(4(2(3(3(2(3(2(1(2(4(2(4(2(1(x1)))))))))))))))
   4^1(4(5(4(1(4(5(1(5(3(4(3(x1)))))))))))) -> 4^1(2(3(3(2(3(2(1(2(4(2(4(2(1(x1))))))))))))))
   4^1(4(5(4(1(4(5(1(5(3(4(3(x1)))))))))))) -> 2^1(3(3(2(3(2(1(2(4(2(4(2(1(x1)))))))))))))
   4^1(4(5(4(1(4(5(1(5(3(4(3(x1)))))))))))) -> 3^1(3(2(3(2(1(2(4(2(4(2(1(x1))))))))))))
   4^1(4(5(4(1(4(5(1(5(3(4(3(x1)))))))))))) -> 3^1(2(3(2(1(2(4(2(4(2(1(x1)))))))))))
   4^1(4(5(4(1(4(5(1(5(3(4(3(x1)))))))))))) -> 2^1(3(2(1(2(4(2(4(2(1(x1))))))))))
   4^1(4(5(4(1(4(5(1(5(3(4(3(x1)))))))))))) -> 3^1(2(1(2(4(2(4(2(1(x1)))))))))
   4^1(4(5(4(1(4(5(1(5(3(4(3(x1)))))))))))) -> 2^1(1(2(4(2(4(2(1(x1))))))))
   4^1(4(5(4(1(4(5(1(5(3(4(3(x1)))))))))))) -> 1^1(2(4(2(4(2(1(x1)))))))
   4^1(4(5(4(1(4(5(1(5(3(4(3(x1)))))))))))) -> 2^1(4(2(4(2(1(x1))))))
   4^1(4(5(4(1(4(5(1(5(3(4(3(x1)))))))))))) -> 4^1(2(4(2(1(x1)))))
   4^1(4(5(4(1(4(5(1(5(3(4(3(x1)))))))))))) -> 2^1(4(2(1(x1))))
   4^1(4(5(4(1(4(5(1(5(3(4(3(x1)))))))))))) -> 4^1(2(1(x1)))
   4^1(4(5(4(1(4(5(1(5(3(4(3(x1)))))))))))) -> 2^1(1(x1))
   4^1(4(5(4(1(4(5(1(5(3(4(3(x1)))))))))))) -> 1^1(x1)
   0^1(5(4(5(0(4(4(4(0(0(5(3(x1)))))))))))) -> 3^1(1(2(3(3(2(2(3(5(4(3(4(0(1(4(x1)))))))))))))))
   0^1(5(4(5(0(4(4(4(0(0(5(3(x1)))))))))))) -> 1^1(2(3(3(2(2(3(5(4(3(4(0(1(4(x1))))))))))))))
   0^1(5(4(5(0(4(4(4(0(0(5(3(x1)))))))))))) -> 2^1(3(3(2(2(3(5(4(3(4(0(1(4(x1)))))))))))))
   0^1(5(4(5(0(4(4(4(0(0(5(3(x1)))))))))))) -> 3^1(3(2(2(3(5(4(3(4(0(1(4(x1))))))))))))
   0^1(5(4(5(0(4(4(4(0(0(5(3(x1)))))))))))) -> 3^1(2(2(3(5(4(3(4(0(1(4(x1)))))))))))
   0^1(5(4(5(0(4(4(4(0(0(5(3(x1)))))))))))) -> 2^1(2(3(5(4(3(4(0(1(4(x1))))))))))
   0^1(5(4(5(0(4(4(4(0(0(5(3(x1)))))))))))) -> 2^1(3(5(4(3(4(0(1(4(x1)))))))))
   0^1(5(4(5(0(4(4(4(0(0(5(3(x1)))))))))))) -> 3^1(5(4(3(4(0(1(4(x1))))))))
   0^1(5(4(5(0(4(4(4(0(0(5(3(x1)))))))))))) -> 5^1(4(3(4(0(1(4(x1)))))))
   0^1(5(4(5(0(4(4(4(0(0(5(3(x1)))))))))))) -> 4^1(3(4(0(1(4(x1))))))
   0^1(5(4(5(0(4(4(4(0(0(5(3(x1)))))))))))) -> 3^1(4(0(1(4(x1)))))
   0^1(5(4(5(0(4(4(4(0(0(5(3(x1)))))))))))) -> 4^1(0(1(4(x1))))
   0^1(5(4(5(0(4(4(4(0(0(5(3(x1)))))))))))) -> 0^1(1(4(x1)))
   0^1(5(4(5(0(4(4(4(0(0(5(3(x1)))))))))))) -> 1^1(4(x1))
   0^1(5(4(5(0(4(4(4(0(0(5(3(x1)))))))))))) -> 4^1(x1)
   3^1(0(5(0(5(0(0(5(5(1(5(3(x1)))))))))))) -> 1^1(2(2(1(1(0(1(2(2(2(0(5(5(3(2(0(x1))))))))))))))))
   3^1(0(5(0(5(0(0(5(5(1(5(3(x1)))))))))))) -> 2^1(2(1(1(0(1(2(2(2(0(5(5(3(2(0(x1)))))))))))))))
   3^1(0(5(0(5(0(0(5(5(1(5(3(x1)))))))))))) -> 2^1(1(1(0(1(2(2(2(0(5(5(3(2(0(x1))))))))))))))
   3^1(0(5(0(5(0(0(5(5(1(5(3(x1)))))))))))) -> 1^1(1(0(1(2(2(2(0(5(5(3(2(0(x1)))))))))))))
   3^1(0(5(0(5(0(0(5(5(1(5(3(x1)))))))))))) -> 1^1(0(1(2(2(2(0(5(5(3(2(0(x1))))))))))))
   3^1(0(5(0(5(0(0(5(5(1(5(3(x1)))))))))))) -> 0^1(1(2(2(2(0(5(5(3(2(0(x1)))))))))))
   3^1(0(5(0(5(0(0(5(5(1(5(3(x1)))))))))))) -> 1^1(2(2(2(0(5(5(3(2(0(x1))))))))))
   3^1(0(5(0(5(0(0(5(5(1(5(3(x1)))))))))))) -> 2^1(2(2(0(5(5(3(2(0(x1)))))))))
   3^1(0(5(0(5(0(0(5(5(1(5(3(x1)))))))))))) -> 2^1(2(0(5(5(3(2(0(x1))))))))
   3^1(0(5(0(5(0(0(5(5(1(5(3(x1)))))))))))) -> 2^1(0(5(5(3(2(0(x1)))))))
   3^1(0(5(0(5(0(0(5(5(1(5(3(x1)))))))))))) -> 0^1(5(5(3(2(0(x1))))))
   3^1(0(5(0(5(0(0(5(5(1(5(3(x1)))))))))))) -> 5^1(5(3(2(0(x1)))))
   3^1(0(5(0(5(0(0(5(5(1(5(3(x1)))))))))))) -> 5^1(3(2(0(x1))))
   3^1(0(5(0(5(0(0(5(5(1(5(3(x1)))))))))))) -> 3^1(2(0(x1)))
   3^1(0(5(0(5(0(0(5(5(1(5(3(x1)))))))))))) -> 2^1(0(x1))
   3^1(0(5(0(5(0(0(5(5(1(5(3(x1)))))))))))) -> 0^1(x1)
   0^1(0(4(1(3(0(5(5(5(3(5(3(x1)))))))))))) -> 2^1(1(2(4(0(0(2(2(2(2(2(0(1(4(5(2(5(x1)))))))))))))))))
   0^1(0(4(1(3(0(5(5(5(3(5(3(x1)))))))))))) -> 1^1(2(4(0(0(2(2(2(2(2(0(1(4(5(2(5(x1))))))))))))))))
   0^1(0(4(1(3(0(5(5(5(3(5(3(x1)))))))))))) -> 2^1(4(0(0(2(2(2(2(2(0(1(4(5(2(5(x1)))))))))))))))
   0^1(0(4(1(3(0(5(5(5(3(5(3(x1)))))))))))) -> 4^1(0(0(2(2(2(2(2(0(1(4(5(2(5(x1))))))))))))))
   0^1(0(4(1(3(0(5(5(5(3(5(3(x1)))))))))))) -> 0^1(0(2(2(2(2(2(0(1(4(5(2(5(x1)))))))))))))
   0^1(0(4(1(3(0(5(5(5(3(5(3(x1)))))))))))) -> 0^1(2(2(2(2(2(0(1(4(5(2(5(x1))))))))))))
   0^1(0(4(1(3(0(5(5(5(3(5(3(x1)))))))))))) -> 2^1(2(2(2(2(0(1(4(5(2(5(x1)))))))))))
   0^1(0(4(1(3(0(5(5(5(3(5(3(x1)))))))))))) -> 2^1(2(2(2(0(1(4(5(2(5(x1))))))))))
   0^1(0(4(1(3(0(5(5(5(3(5(3(x1)))))))))))) -> 2^1(2(2(0(1(4(5(2(5(x1)))))))))
   0^1(0(4(1(3(0(5(5(5(3(5(3(x1)))))))))))) -> 2^1(2(0(1(4(5(2(5(x1))))))))
   0^1(0(4(1(3(0(5(5(5(3(5(3(x1)))))))))))) -> 2^1(0(1(4(5(2(5(x1)))))))
   0^1(0(4(1(3(0(5(5(5(3(5(3(x1)))))))))))) -> 0^1(1(4(5(2(5(x1))))))
   0^1(0(4(1(3(0(5(5(5(3(5(3(x1)))))))))))) -> 1^1(4(5(2(5(x1)))))
   0^1(0(4(1(3(0(5(5(5(3(5(3(x1)))))))))))) -> 4^1(5(2(5(x1))))
   0^1(0(4(1(3(0(5(5(5(3(5(3(x1)))))))))))) -> 5^1(2(5(x1)))
   0^1(0(4(1(3(0(5(5(5(3(5(3(x1)))))))))))) -> 2^1(5(x1))
   0^1(0(4(1(3(0(5(5(5(3(5(3(x1)))))))))))) -> 5^1(x1)
   1^1(1(1(3(0(0(4(3(3(5(5(3(x1)))))))))))) -> 0^1(2(4(2(2(1(5(2(2(3(0(2(1(2(1(x1)))))))))))))))
   1^1(1(1(3(0(0(4(3(3(5(5(3(x1)))))))))))) -> 2^1(4(2(2(1(5(2(2(3(0(2(1(2(1(x1))))))))))))))
   1^1(1(1(3(0(0(4(3(3(5(5(3(x1)))))))))))) -> 4^1(2(2(1(5(2(2(3(0(2(1(2(1(x1)))))))))))))
   1^1(1(1(3(0(0(4(3(3(5(5(3(x1)))))))))))) -> 2^1(2(1(5(2(2(3(0(2(1(2(1(x1))))))))))))
   1^1(1(1(3(0(0(4(3(3(5(5(3(x1)))))))))))) -> 2^1(1(5(2(2(3(0(2(1(2(1(x1)))))))))))
   1^1(1(1(3(0(0(4(3(3(5(5(3(x1)))))))))))) -> 1^1(5(2(2(3(0(2(1(2(1(x1))))))))))
   1^1(1(1(3(0(0(4(3(3(5(5(3(x1)))))))))))) -> 5^1(2(2(3(0(2(1(2(1(x1)))))))))
   1^1(1(1(3(0(0(4(3(3(5(5(3(x1)))))))))))) -> 2^1(2(3(0(2(1(2(1(x1))))))))
   1^1(1(1(3(0(0(4(3(3(5(5(3(x1)))))))))))) -> 2^1(3(0(2(1(2(1(x1)))))))
   1^1(1(1(3(0(0(4(3(3(5(5(3(x1)))))))))))) -> 3^1(0(2(1(2(1(x1))))))
   1^1(1(1(3(0(0(4(3(3(5(5(3(x1)))))))))))) -> 0^1(2(1(2(1(x1)))))
   1^1(1(1(3(0(0(4(3(3(5(5(3(x1)))))))))))) -> 2^1(1(2(1(x1))))
   1^1(1(1(3(0(0(4(3(3(5(5(3(x1)))))))))))) -> 1^1(2(1(x1)))
   1^1(1(1(3(0(0(4(3(3(5(5(3(x1)))))))))))) -> 2^1(1(x1))
   1^1(1(1(3(0(0(4(3(3(5(5(3(x1)))))))))))) -> 1^1(x1)
   2^1(2(4(1(5(1(5(1(4(5(5(3(x1)))))))))))) -> 2^1(2(2(3(4(1(3(2(2(1(3(2(4(4(2(4(x1))))))))))))))))
   2^1(2(4(1(5(1(5(1(4(5(5(3(x1)))))))))))) -> 2^1(2(3(4(1(3(2(2(1(3(2(4(4(2(4(x1)))))))))))))))
   2^1(2(4(1(5(1(5(1(4(5(5(3(x1)))))))))))) -> 2^1(3(4(1(3(2(2(1(3(2(4(4(2(4(x1))))))))))))))
   2^1(2(4(1(5(1(5(1(4(5(5(3(x1)))))))))))) -> 3^1(4(1(3(2(2(1(3(2(4(4(2(4(x1)))))))))))))
   2^1(2(4(1(5(1(5(1(4(5(5(3(x1)))))))))))) -> 4^1(1(3(2(2(1(3(2(4(4(2(4(x1))))))))))))
   2^1(2(4(1(5(1(5(1(4(5(5(3(x1)))))))))))) -> 1^1(3(2(2(1(3(2(4(4(2(4(x1)))))))))))
   2^1(2(4(1(5(1(5(1(4(5(5(3(x1)))))))))))) -> 3^1(2(2(1(3(2(4(4(2(4(x1))))))))))
   2^1(2(4(1(5(1(5(1(4(5(5(3(x1)))))))))))) -> 2^1(2(1(3(2(4(4(2(4(x1)))))))))
   2^1(2(4(1(5(1(5(1(4(5(5(3(x1)))))))))))) -> 2^1(1(3(2(4(4(2(4(x1))))))))
   2^1(2(4(1(5(1(5(1(4(5(5(3(x1)))))))))))) -> 1^1(3(2(4(4(2(4(x1)))))))
   2^1(2(4(1(5(1(5(1(4(5(5(3(x1)))))))))))) -> 3^1(2(4(4(2(4(x1))))))
   2^1(2(4(1(5(1(5(1(4(5(5(3(x1)))))))))))) -> 2^1(4(4(2(4(x1)))))
   2^1(2(4(1(5(1(5(1(4(5(5(3(x1)))))))))))) -> 4^1(4(2(4(x1))))
   2^1(2(4(1(5(1(5(1(4(5(5(3(x1)))))))))))) -> 4^1(2(4(x1)))
   2^1(2(4(1(5(1(5(1(4(5(5(3(x1)))))))))))) -> 2^1(4(x1))
   2^1(2(4(1(5(1(5(1(4(5(5(3(x1)))))))))))) -> 4^1(x1)
   0^1(1(5(5(3(0(1(1(3(0(0(4(x1)))))))))))) -> 1^1(2(2(1(5(3(2(5(0(1(2(1(2(2(4(5(2(x1)))))))))))))))))
   0^1(1(5(5(3(0(1(1(3(0(0(4(x1)))))))))))) -> 2^1(2(1(5(3(2(5(0(1(2(1(2(2(4(5(2(x1))))))))))))))))
   0^1(1(5(5(3(0(1(1(3(0(0(4(x1)))))))))))) -> 2^1(1(5(3(2(5(0(1(2(1(2(2(4(5(2(x1)))))))))))))))
   0^1(1(5(5(3(0(1(1(3(0(0(4(x1)))))))))))) -> 1^1(5(3(2(5(0(1(2(1(2(2(4(5(2(x1))))))))))))))
   0^1(1(5(5(3(0(1(1(3(0(0(4(x1)))))))))))) -> 5^1(3(2(5(0(1(2(1(2(2(4(5(2(x1)))))))))))))
   0^1(1(5(5(3(0(1(1(3(0(0(4(x1)))))))))))) -> 3^1(2(5(0(1(2(1(2(2(4(5(2(x1))))))))))))
   0^1(1(5(5(3(0(1(1(3(0(0(4(x1)))))))))))) -> 2^1(5(0(1(2(1(2(2(4(5(2(x1)))))))))))
   0^1(1(5(5(3(0(1(1(3(0(0(4(x1)))))))))))) -> 5^1(0(1(2(1(2(2(4(5(2(x1))))))))))
   0^1(1(5(5(3(0(1(1(3(0(0(4(x1)))))))))))) -> 0^1(1(2(1(2(2(4(5(2(x1)))))))))
   0^1(1(5(5(3(0(1(1(3(0(0(4(x1)))))))))))) -> 1^1(2(1(2(2(4(5(2(x1))))))))
   0^1(1(5(5(3(0(1(1(3(0(0(4(x1)))))))))))) -> 2^1(1(2(2(4(5(2(x1)))))))
   0^1(1(5(5(3(0(1(1(3(0(0(4(x1)))))))))))) -> 1^1(2(2(4(5(2(x1))))))
   0^1(1(5(5(3(0(1(1(3(0(0(4(x1)))))))))))) -> 2^1(2(4(5(2(x1)))))
   0^1(1(5(5(3(0(1(1(3(0(0(4(x1)))))))))))) -> 2^1(4(5(2(x1))))
   0^1(1(5(5(3(0(1(1(3(0(0(4(x1)))))))))))) -> 4^1(5(2(x1)))
   0^1(1(5(5(3(0(1(1(3(0(0(4(x1)))))))))))) -> 5^1(2(x1))
   0^1(1(5(5(3(0(1(1(3(0(0(4(x1)))))))))))) -> 2^1(x1)
   4^1(0(5(3(1(0(1(4(5(2(1(4(x1)))))))))))) -> 3^1(1(2(4(1(2(3(2(2(4(5(4(2(5(2(2(x1))))))))))))))))
   4^1(0(5(3(1(0(1(4(5(2(1(4(x1)))))))))))) -> 1^1(2(4(1(2(3(2(2(4(5(4(2(5(2(2(x1)))))))))))))))
   4^1(0(5(3(1(0(1(4(5(2(1(4(x1)))))))))))) -> 2^1(4(1(2(3(2(2(4(5(4(2(5(2(2(x1))))))))))))))
   4^1(0(5(3(1(0(1(4(5(2(1(4(x1)))))))))))) -> 4^1(1(2(3(2(2(4(5(4(2(5(2(2(x1)))))))))))))
   4^1(0(5(3(1(0(1(4(5(2(1(4(x1)))))))))))) -> 1^1(2(3(2(2(4(5(4(2(5(2(2(x1))))))))))))
   4^1(0(5(3(1(0(1(4(5(2(1(4(x1)))))))))))) -> 2^1(3(2(2(4(5(4(2(5(2(2(x1)))))))))))
   4^1(0(5(3(1(0(1(4(5(2(1(4(x1)))))))))))) -> 3^1(2(2(4(5(4(2(5(2(2(x1))))))))))
   4^1(0(5(3(1(0(1(4(5(2(1(4(x1)))))))))))) -> 2^1(2(4(5(4(2(5(2(2(x1)))))))))
   4^1(0(5(3(1(0(1(4(5(2(1(4(x1)))))))))))) -> 2^1(4(5(4(2(5(2(2(x1))))))))
   4^1(0(5(3(1(0(1(4(5(2(1(4(x1)))))))))))) -> 4^1(5(4(2(5(2(2(x1)))))))
   4^1(0(5(3(1(0(1(4(5(2(1(4(x1)))))))))))) -> 5^1(4(2(5(2(2(x1))))))
   4^1(0(5(3(1(0(1(4(5(2(1(4(x1)))))))))))) -> 4^1(2(5(2(2(x1)))))
   4^1(0(5(3(1(0(1(4(5(2(1(4(x1)))))))))))) -> 2^1(5(2(2(x1))))
   4^1(0(5(3(1(0(1(4(5(2(1(4(x1)))))))))))) -> 5^1(2(2(x1)))
   4^1(0(5(3(1(0(1(4(5(2(1(4(x1)))))))))))) -> 2^1(2(x1))
   4^1(0(5(3(1(0(1(4(5(2(1(4(x1)))))))))))) -> 2^1(x1)
   3^1(3(0(3(0(5(4(1(3(4(1(4(x1)))))))))))) -> 2^1(2(2(2(3(1(2(2(5(5(4(1(1(4(2(3(1(x1)))))))))))))))))
   3^1(3(0(3(0(5(4(1(3(4(1(4(x1)))))))))))) -> 2^1(2(2(3(1(2(2(5(5(4(1(1(4(2(3(1(x1))))))))))))))))
   3^1(3(0(3(0(5(4(1(3(4(1(4(x1)))))))))))) -> 2^1(2(3(1(2(2(5(5(4(1(1(4(2(3(1(x1)))))))))))))))
   3^1(3(0(3(0(5(4(1(3(4(1(4(x1)))))))))))) -> 2^1(3(1(2(2(5(5(4(1(1(4(2(3(1(x1))))))))))))))
   3^1(3(0(3(0(5(4(1(3(4(1(4(x1)))))))))))) -> 3^1(1(2(2(5(5(4(1(1(4(2(3(1(x1)))))))))))))
   3^1(3(0(3(0(5(4(1(3(4(1(4(x1)))))))))))) -> 1^1(2(2(5(5(4(1(1(4(2(3(1(x1))))))))))))
   3^1(3(0(3(0(5(4(1(3(4(1(4(x1)))))))))))) -> 2^1(2(5(5(4(1(1(4(2(3(1(x1)))))))))))
   3^1(3(0(3(0(5(4(1(3(4(1(4(x1)))))))))))) -> 2^1(5(5(4(1(1(4(2(3(1(x1))))))))))
   3^1(3(0(3(0(5(4(1(3(4(1(4(x1)))))))))))) -> 5^1(5(4(1(1(4(2(3(1(x1)))))))))
   3^1(3(0(3(0(5(4(1(3(4(1(4(x1)))))))))))) -> 5^1(4(1(1(4(2(3(1(x1))))))))
   3^1(3(0(3(0(5(4(1(3(4(1(4(x1)))))))))))) -> 4^1(1(1(4(2(3(1(x1)))))))
   3^1(3(0(3(0(5(4(1(3(4(1(4(x1)))))))))))) -> 1^1(1(4(2(3(1(x1))))))
   3^1(3(0(3(0(5(4(1(3(4(1(4(x1)))))))))))) -> 1^1(4(2(3(1(x1)))))
   3^1(3(0(3(0(5(4(1(3(4(1(4(x1)))))))))))) -> 4^1(2(3(1(x1))))
   3^1(3(0(3(0(5(4(1(3(4(1(4(x1)))))))))))) -> 2^1(3(1(x1)))
   3^1(3(0(3(0(5(4(1(3(4(1(4(x1)))))))))))) -> 3^1(1(x1))
   3^1(3(0(3(0(5(4(1(3(4(1(4(x1)))))))))))) -> 1^1(x1)
   1^1(1(5(4(4(3(0(0(4(4(1(4(x1)))))))))))) -> 1^1(3(2(1(1(2(2(2(3(3(4(0(0(2(3(1(x1))))))))))))))))
   1^1(1(5(4(4(3(0(0(4(4(1(4(x1)))))))))))) -> 3^1(2(1(1(2(2(2(3(3(4(0(0(2(3(1(x1)))))))))))))))
   1^1(1(5(4(4(3(0(0(4(4(1(4(x1)))))))))))) -> 2^1(1(1(2(2(2(3(3(4(0(0(2(3(1(x1))))))))))))))
   1^1(1(5(4(4(3(0(0(4(4(1(4(x1)))))))))))) -> 1^1(1(2(2(2(3(3(4(0(0(2(3(1(x1)))))))))))))
   1^1(1(5(4(4(3(0(0(4(4(1(4(x1)))))))))))) -> 1^1(2(2(2(3(3(4(0(0(2(3(1(x1))))))))))))
   1^1(1(5(4(4(3(0(0(4(4(1(4(x1)))))))))))) -> 2^1(2(2(3(3(4(0(0(2(3(1(x1)))))))))))
   1^1(1(5(4(4(3(0(0(4(4(1(4(x1)))))))))))) -> 2^1(2(3(3(4(0(0(2(3(1(x1))))))))))
   1^1(1(5(4(4(3(0(0(4(4(1(4(x1)))))))))))) -> 2^1(3(3(4(0(0(2(3(1(x1)))))))))
   1^1(1(5(4(4(3(0(0(4(4(1(4(x1)))))))))))) -> 3^1(3(4(0(0(2(3(1(x1))))))))
   1^1(1(5(4(4(3(0(0(4(4(1(4(x1)))))))))))) -> 3^1(4(0(0(2(3(1(x1)))))))
   1^1(1(5(4(4(3(0(0(4(4(1(4(x1)))))))))))) -> 4^1(0(0(2(3(1(x1))))))
   1^1(1(5(4(4(3(0(0(4(4(1(4(x1)))))))))))) -> 0^1(0(2(3(1(x1)))))
   1^1(1(5(4(4(3(0(0(4(4(1(4(x1)))))))))))) -> 0^1(2(3(1(x1))))
   1^1(1(5(4(4(3(0(0(4(4(1(4(x1)))))))))))) -> 2^1(3(1(x1)))
   1^1(1(5(4(4(3(0(0(4(4(1(4(x1)))))))))))) -> 3^1(1(x1))
   1^1(1(5(4(4(3(0(0(4(4(1(4(x1)))))))))))) -> 1^1(x1)
   3^1(0(1(4(4(1(1(4(1(5(1(4(x1)))))))))))) -> 1^1(3(1(4(2(3(2(2(3(2(3(3(3(5(2(1(3(x1)))))))))))))))))
   3^1(0(1(4(4(1(1(4(1(5(1(4(x1)))))))))))) -> 3^1(1(4(2(3(2(2(3(2(3(3(3(5(2(1(3(x1))))))))))))))))
   3^1(0(1(4(4(1(1(4(1(5(1(4(x1)))))))))))) -> 1^1(4(2(3(2(2(3(2(3(3(3(5(2(1(3(x1)))))))))))))))
   3^1(0(1(4(4(1(1(4(1(5(1(4(x1)))))))))))) -> 4^1(2(3(2(2(3(2(3(3(3(5(2(1(3(x1))))))))))))))
   3^1(0(1(4(4(1(1(4(1(5(1(4(x1)))))))))))) -> 2^1(3(2(2(3(2(3(3(3(5(2(1(3(x1)))))))))))))
   3^1(0(1(4(4(1(1(4(1(5(1(4(x1)))))))))))) -> 3^1(2(2(3(2(3(3(3(5(2(1(3(x1))))))))))))
   3^1(0(1(4(4(1(1(4(1(5(1(4(x1)))))))))))) -> 2^1(2(3(2(3(3(3(5(2(1(3(x1)))))))))))
   3^1(0(1(4(4(1(1(4(1(5(1(4(x1)))))))))))) -> 2^1(3(2(3(3(3(5(2(1(3(x1))))))))))
   3^1(0(1(4(4(1(1(4(1(5(1(4(x1)))))))))))) -> 3^1(2(3(3(3(5(2(1(3(x1)))))))))
   3^1(0(1(4(4(1(1(4(1(5(1(4(x1)))))))))))) -> 2^1(3(3(3(5(2(1(3(x1))))))))
   3^1(0(1(4(4(1(1(4(1(5(1(4(x1)))))))))))) -> 3^1(3(3(5(2(1(3(x1)))))))
   3^1(0(1(4(4(1(1(4(1(5(1(4(x1)))))))))))) -> 3^1(3(5(2(1(3(x1))))))
   3^1(0(1(4(4(1(1(4(1(5(1(4(x1)))))))))))) -> 3^1(5(2(1(3(x1)))))
   3^1(0(1(4(4(1(1(4(1(5(1(4(x1)))))))))))) -> 5^1(2(1(3(x1))))
   3^1(0(1(4(4(1(1(4(1(5(1(4(x1)))))))))))) -> 2^1(1(3(x1)))
   3^1(0(1(4(4(1(1(4(1(5(1(4(x1)))))))))))) -> 1^1(3(x1))
   3^1(0(1(4(4(1(1(4(1(5(1(4(x1)))))))))))) -> 3^1(x1)
   5^1(4(5(5(4(3(2(1(1(4(2(4(x1)))))))))))) -> 4^1(1(2(3(1(0(0(3(3(5(2(3(2(2(2(x1)))))))))))))))
   5^1(4(5(5(4(3(2(1(1(4(2(4(x1)))))))))))) -> 1^1(2(3(1(0(0(3(3(5(2(3(2(2(2(x1))))))))))))))
   5^1(4(5(5(4(3(2(1(1(4(2(4(x1)))))))))))) -> 2^1(3(1(0(0(3(3(5(2(3(2(2(2(x1)))))))))))))
   5^1(4(5(5(4(3(2(1(1(4(2(4(x1)))))))))))) -> 3^1(1(0(0(3(3(5(2(3(2(2(2(x1))))))))))))
   5^1(4(5(5(4(3(2(1(1(4(2(4(x1)))))))))))) -> 1^1(0(0(3(3(5(2(3(2(2(2(x1)))))))))))
   5^1(4(5(5(4(3(2(1(1(4(2(4(x1)))))))))))) -> 0^1(0(3(3(5(2(3(2(2(2(x1))))))))))
   5^1(4(5(5(4(3(2(1(1(4(2(4(x1)))))))))))) -> 0^1(3(3(5(2(3(2(2(2(x1)))))))))
   5^1(4(5(5(4(3(2(1(1(4(2(4(x1)))))))))))) -> 3^1(3(5(2(3(2(2(2(x1))))))))
   5^1(4(5(5(4(3(2(1(1(4(2(4(x1)))))))))))) -> 3^1(5(2(3(2(2(2(x1)))))))
   5^1(4(5(5(4(3(2(1(1(4(2(4(x1)))))))))))) -> 5^1(2(3(2(2(2(x1))))))
   5^1(4(5(5(4(3(2(1(1(4(2(4(x1)))))))))))) -> 2^1(3(2(2(2(x1)))))
   5^1(4(5(5(4(3(2(1(1(4(2(4(x1)))))))))))) -> 3^1(2(2(2(x1))))
   5^1(4(5(5(4(3(2(1(1(4(2(4(x1)))))))))))) -> 2^1(2(2(x1)))
   5^1(4(5(5(4(3(2(1(1(4(2(4(x1)))))))))))) -> 2^1(2(x1))
   5^1(4(5(5(4(3(2(1(1(4(2(4(x1)))))))))))) -> 2^1(x1)
   0^1(1(0(5(5(4(3(0(4(4(2(4(x1)))))))))))) -> 4^1(1(2(2(1(2(0(2(4(1(1(2(5(1(3(x1)))))))))))))))
   0^1(1(0(5(5(4(3(0(4(4(2(4(x1)))))))))))) -> 1^1(2(2(1(2(0(2(4(1(1(2(5(1(3(x1))))))))))))))
   0^1(1(0(5(5(4(3(0(4(4(2(4(x1)))))))))))) -> 2^1(2(1(2(0(2(4(1(1(2(5(1(3(x1)))))))))))))
   0^1(1(0(5(5(4(3(0(4(4(2(4(x1)))))))))))) -> 2^1(1(2(0(2(4(1(1(2(5(1(3(x1))))))))))))
   0^1(1(0(5(5(4(3(0(4(4(2(4(x1)))))))))))) -> 1^1(2(0(2(4(1(1(2(5(1(3(x1)))))))))))
   0^1(1(0(5(5(4(3(0(4(4(2(4(x1)))))))))))) -> 2^1(0(2(4(1(1(2(5(1(3(x1))))))))))
   0^1(1(0(5(5(4(3(0(4(4(2(4(x1)))))))))))) -> 0^1(2(4(1(1(2(5(1(3(x1)))))))))
   0^1(1(0(5(5(4(3(0(4(4(2(4(x1)))))))))))) -> 2^1(4(1(1(2(5(1(3(x1))))))))
   0^1(1(0(5(5(4(3(0(4(4(2(4(x1)))))))))))) -> 4^1(1(1(2(5(1(3(x1)))))))
   0^1(1(0(5(5(4(3(0(4(4(2(4(x1)))))))))))) -> 1^1(1(2(5(1(3(x1))))))
   0^1(1(0(5(5(4(3(0(4(4(2(4(x1)))))))))))) -> 1^1(2(5(1(3(x1)))))
   0^1(1(0(5(5(4(3(0(4(4(2(4(x1)))))))))))) -> 2^1(5(1(3(x1))))
   0^1(1(0(5(5(4(3(0(4(4(2(4(x1)))))))))))) -> 5^1(1(3(x1)))
   0^1(1(0(5(5(4(3(0(4(4(2(4(x1)))))))))))) -> 1^1(3(x1))
   0^1(1(0(5(5(4(3(0(4(4(2(4(x1)))))))))))) -> 3^1(x1)
   5^1(3(0(1(1(0(3(3(5(3(3(4(x1)))))))))))) -> 2^1(2(3(2(3(0(0(2(4(1(1(2(4(2(x1))))))))))))))
   5^1(3(0(1(1(0(3(3(5(3(3(4(x1)))))))))))) -> 2^1(3(2(3(0(0(2(4(1(1(2(4(2(x1)))))))))))))
   5^1(3(0(1(1(0(3(3(5(3(3(4(x1)))))))))))) -> 3^1(2(3(0(0(2(4(1(1(2(4(2(x1))))))))))))
   5^1(3(0(1(1(0(3(3(5(3(3(4(x1)))))))))))) -> 2^1(3(0(0(2(4(1(1(2(4(2(x1)))))))))))
   5^1(3(0(1(1(0(3(3(5(3(3(4(x1)))))))))))) -> 3^1(0(0(2(4(1(1(2(4(2(x1))))))))))
   5^1(3(0(1(1(0(3(3(5(3(3(4(x1)))))))))))) -> 0^1(0(2(4(1(1(2(4(2(x1)))))))))
   5^1(3(0(1(1(0(3(3(5(3(3(4(x1)))))))))))) -> 0^1(2(4(1(1(2(4(2(x1))))))))
   5^1(3(0(1(1(0(3(3(5(3(3(4(x1)))))))))))) -> 2^1(4(1(1(2(4(2(x1)))))))
   5^1(3(0(1(1(0(3(3(5(3(3(4(x1)))))))))))) -> 4^1(1(1(2(4(2(x1))))))
   5^1(3(0(1(1(0(3(3(5(3(3(4(x1)))))))))))) -> 1^1(1(2(4(2(x1)))))
   5^1(3(0(1(1(0(3(3(5(3(3(4(x1)))))))))))) -> 1^1(2(4(2(x1))))
   5^1(3(0(1(1(0(3(3(5(3(3(4(x1)))))))))))) -> 2^1(4(2(x1)))
   5^1(3(0(1(1(0(3(3(5(3(3(4(x1)))))))))))) -> 4^1(2(x1))
   5^1(3(0(1(1(0(3(3(5(3(3(4(x1)))))))))))) -> 2^1(x1)
   5^1(4(0(1(3(0(5(5(5(4(3(4(x1)))))))))))) -> 3^1(2(2(1(2(3(2(5(0(3(2(4(4(4(5(4(2(x1)))))))))))))))))
   5^1(4(0(1(3(0(5(5(5(4(3(4(x1)))))))))))) -> 2^1(2(1(2(3(2(5(0(3(2(4(4(4(5(4(2(x1))))))))))))))))
   5^1(4(0(1(3(0(5(5(5(4(3(4(x1)))))))))))) -> 2^1(1(2(3(2(5(0(3(2(4(4(4(5(4(2(x1)))))))))))))))
   5^1(4(0(1(3(0(5(5(5(4(3(4(x1)))))))))))) -> 1^1(2(3(2(5(0(3(2(4(4(4(5(4(2(x1))))))))))))))
   5^1(4(0(1(3(0(5(5(5(4(3(4(x1)))))))))))) -> 2^1(3(2(5(0(3(2(4(4(4(5(4(2(x1)))))))))))))
   5^1(4(0(1(3(0(5(5(5(4(3(4(x1)))))))))))) -> 3^1(2(5(0(3(2(4(4(4(5(4(2(x1))))))))))))
   5^1(4(0(1(3(0(5(5(5(4(3(4(x1)))))))))))) -> 2^1(5(0(3(2(4(4(4(5(4(2(x1)))))))))))
   5^1(4(0(1(3(0(5(5(5(4(3(4(x1)))))))))))) -> 5^1(0(3(2(4(4(4(5(4(2(x1))))))))))
   5^1(4(0(1(3(0(5(5(5(4(3(4(x1)))))))))))) -> 0^1(3(2(4(4(4(5(4(2(x1)))))))))
   5^1(4(0(1(3(0(5(5(5(4(3(4(x1)))))))))))) -> 3^1(2(4(4(4(5(4(2(x1))))))))
   5^1(4(0(1(3(0(5(5(5(4(3(4(x1)))))))))))) -> 2^1(4(4(4(5(4(2(x1)))))))
   5^1(4(0(1(3(0(5(5(5(4(3(4(x1)))))))))))) -> 4^1(4(4(5(4(2(x1))))))
   5^1(4(0(1(3(0(5(5(5(4(3(4(x1)))))))))))) -> 4^1(4(5(4(2(x1)))))
   5^1(4(0(1(3(0(5(5(5(4(3(4(x1)))))))))))) -> 4^1(5(4(2(x1))))
   5^1(4(0(1(3(0(5(5(5(4(3(4(x1)))))))))))) -> 5^1(4(2(x1)))
   5^1(4(0(1(3(0(5(5(5(4(3(4(x1)))))))))))) -> 4^1(2(x1))
   5^1(4(0(1(3(0(5(5(5(4(3(4(x1)))))))))))) -> 2^1(x1)
   0^1(0(2(4(4(5(3(1(0(5(3(4(x1)))))))))))) -> 1^1(2(3(2(4(1(2(2(0(5(2(5(2(2(2(2(2(4(x1))))))))))))))))))
   0^1(0(2(4(4(5(3(1(0(5(3(4(x1)))))))))))) -> 2^1(3(2(4(1(2(2(0(5(2(5(2(2(2(2(2(4(x1)))))))))))))))))
   0^1(0(2(4(4(5(3(1(0(5(3(4(x1)))))))))))) -> 3^1(2(4(1(2(2(0(5(2(5(2(2(2(2(2(4(x1))))))))))))))))
   0^1(0(2(4(4(5(3(1(0(5(3(4(x1)))))))))))) -> 2^1(4(1(2(2(0(5(2(5(2(2(2(2(2(4(x1)))))))))))))))
   0^1(0(2(4(4(5(3(1(0(5(3(4(x1)))))))))))) -> 4^1(1(2(2(0(5(2(5(2(2(2(2(2(4(x1))))))))))))))
   0^1(0(2(4(4(5(3(1(0(5(3(4(x1)))))))))))) -> 1^1(2(2(0(5(2(5(2(2(2(2(2(4(x1)))))))))))))
   0^1(0(2(4(4(5(3(1(0(5(3(4(x1)))))))))))) -> 2^1(2(0(5(2(5(2(2(2(2(2(4(x1))))))))))))
   0^1(0(2(4(4(5(3(1(0(5(3(4(x1)))))))))))) -> 2^1(0(5(2(5(2(2(2(2(2(4(x1)))))))))))
   0^1(0(2(4(4(5(3(1(0(5(3(4(x1)))))))))))) -> 0^1(5(2(5(2(2(2(2(2(4(x1))))))))))
   0^1(0(2(4(4(5(3(1(0(5(3(4(x1)))))))))))) -> 5^1(2(5(2(2(2(2(2(4(x1)))))))))
   0^1(0(2(4(4(5(3(1(0(5(3(4(x1)))))))))))) -> 2^1(5(2(2(2(2(2(4(x1))))))))
   0^1(0(2(4(4(5(3(1(0(5(3(4(x1)))))))))))) -> 5^1(2(2(2(2(2(4(x1)))))))
   0^1(0(2(4(4(5(3(1(0(5(3(4(x1)))))))))))) -> 2^1(2(2(2(2(4(x1))))))
   0^1(0(2(4(4(5(3(1(0(5(3(4(x1)))))))))))) -> 2^1(2(2(2(4(x1)))))
   0^1(0(2(4(4(5(3(1(0(5(3(4(x1)))))))))))) -> 2^1(2(2(4(x1))))
   0^1(0(2(4(4(5(3(1(0(5(3(4(x1)))))))))))) -> 2^1(2(4(x1)))
   0^1(0(2(4(4(5(3(1(0(5(3(4(x1)))))))))))) -> 2^1(4(x1))
   1^1(2(3(3(0(1(0(5(3(3(4(4(x1)))))))))))) -> 3^1(1(2(2(3(4(0(1(2(5(2(2(1(2(1(2(2(x1)))))))))))))))))
   1^1(2(3(3(0(1(0(5(3(3(4(4(x1)))))))))))) -> 1^1(2(2(3(4(0(1(2(5(2(2(1(2(1(2(2(x1))))))))))))))))
   1^1(2(3(3(0(1(0(5(3(3(4(4(x1)))))))))))) -> 2^1(2(3(4(0(1(2(5(2(2(1(2(1(2(2(x1)))))))))))))))
   1^1(2(3(3(0(1(0(5(3(3(4(4(x1)))))))))))) -> 2^1(3(4(0(1(2(5(2(2(1(2(1(2(2(x1))))))))))))))
   1^1(2(3(3(0(1(0(5(3(3(4(4(x1)))))))))))) -> 3^1(4(0(1(2(5(2(2(1(2(1(2(2(x1)))))))))))))
   1^1(2(3(3(0(1(0(5(3(3(4(4(x1)))))))))))) -> 4^1(0(1(2(5(2(2(1(2(1(2(2(x1))))))))))))
   1^1(2(3(3(0(1(0(5(3(3(4(4(x1)))))))))))) -> 0^1(1(2(5(2(2(1(2(1(2(2(x1)))))))))))
   1^1(2(3(3(0(1(0(5(3(3(4(4(x1)))))))))))) -> 1^1(2(5(2(2(1(2(1(2(2(x1))))))))))
   1^1(2(3(3(0(1(0(5(3(3(4(4(x1)))))))))))) -> 2^1(5(2(2(1(2(1(2(2(x1)))))))))
   1^1(2(3(3(0(1(0(5(3(3(4(4(x1)))))))))))) -> 5^1(2(2(1(2(1(2(2(x1))))))))
   1^1(2(3(3(0(1(0(5(3(3(4(4(x1)))))))))))) -> 2^1(2(1(2(1(2(2(x1)))))))
   1^1(2(3(3(0(1(0(5(3(3(4(4(x1)))))))))))) -> 2^1(1(2(1(2(2(x1))))))
   1^1(2(3(3(0(1(0(5(3(3(4(4(x1)))))))))))) -> 1^1(2(1(2(2(x1)))))
   1^1(2(3(3(0(1(0(5(3(3(4(4(x1)))))))))))) -> 2^1(1(2(2(x1))))
   1^1(2(3(3(0(1(0(5(3(3(4(4(x1)))))))))))) -> 1^1(2(2(x1)))
   1^1(2(3(3(0(1(0(5(3(3(4(4(x1)))))))))))) -> 2^1(2(x1))
   1^1(2(3(3(0(1(0(5(3(3(4(4(x1)))))))))))) -> 2^1(x1)
   4^1(0(4(4(1(0(0(0(1(0(5(4(x1)))))))))))) -> 3^1(5(4(2(1(5(2(4(2(3(3(2(2(2(5(2(3(x1)))))))))))))))))
   4^1(0(4(4(1(0(0(0(1(0(5(4(x1)))))))))))) -> 5^1(4(2(1(5(2(4(2(3(3(2(2(2(5(2(3(x1))))))))))))))))
   4^1(0(4(4(1(0(0(0(1(0(5(4(x1)))))))))))) -> 4^1(2(1(5(2(4(2(3(3(2(2(2(5(2(3(x1)))))))))))))))
   4^1(0(4(4(1(0(0(0(1(0(5(4(x1)))))))))))) -> 2^1(1(5(2(4(2(3(3(2(2(2(5(2(3(x1))))))))))))))
   4^1(0(4(4(1(0(0(0(1(0(5(4(x1)))))))))))) -> 1^1(5(2(4(2(3(3(2(2(2(5(2(3(x1)))))))))))))
   4^1(0(4(4(1(0(0(0(1(0(5(4(x1)))))))))))) -> 5^1(2(4(2(3(3(2(2(2(5(2(3(x1))))))))))))
   4^1(0(4(4(1(0(0(0(1(0(5(4(x1)))))))))))) -> 2^1(4(2(3(3(2(2(2(5(2(3(x1)))))))))))
   4^1(0(4(4(1(0(0(0(1(0(5(4(x1)))))))))))) -> 4^1(2(3(3(2(2(2(5(2(3(x1))))))))))
   4^1(0(4(4(1(0(0(0(1(0(5(4(x1)))))))))))) -> 2^1(3(3(2(2(2(5(2(3(x1)))))))))
   4^1(0(4(4(1(0(0(0(1(0(5(4(x1)))))))))))) -> 3^1(3(2(2(2(5(2(3(x1))))))))
   4^1(0(4(4(1(0(0(0(1(0(5(4(x1)))))))))))) -> 3^1(2(2(2(5(2(3(x1)))))))
   4^1(0(4(4(1(0(0(0(1(0(5(4(x1)))))))))))) -> 2^1(2(2(5(2(3(x1))))))
   4^1(0(4(4(1(0(0(0(1(0(5(4(x1)))))))))))) -> 2^1(2(5(2(3(x1)))))
   4^1(0(4(4(1(0(0(0(1(0(5(4(x1)))))))))))) -> 2^1(5(2(3(x1))))
   4^1(0(4(4(1(0(0(0(1(0(5(4(x1)))))))))))) -> 5^1(2(3(x1)))
   4^1(0(4(4(1(0(0(0(1(0(5(4(x1)))))))))))) -> 2^1(3(x1))
   4^1(0(4(4(1(0(0(0(1(0(5(4(x1)))))))))))) -> 3^1(x1)
   4^1(3(5(0(0(4(1(3(4(0(5(4(x1)))))))))))) -> 0^1(4(0(4(1(2(5(2(2(2(4(2(2(1(2(3(1(4(x1))))))))))))))))))
   4^1(3(5(0(0(4(1(3(4(0(5(4(x1)))))))))))) -> 4^1(0(4(1(2(5(2(2(2(4(2(2(1(2(3(1(4(x1)))))))))))))))))
   4^1(3(5(0(0(4(1(3(4(0(5(4(x1)))))))))))) -> 0^1(4(1(2(5(2(2(2(4(2(2(1(2(3(1(4(x1))))))))))))))))
   4^1(3(5(0(0(4(1(3(4(0(5(4(x1)))))))))))) -> 4^1(1(2(5(2(2(2(4(2(2(1(2(3(1(4(x1)))))))))))))))
   4^1(3(5(0(0(4(1(3(4(0(5(4(x1)))))))))))) -> 1^1(2(5(2(2(2(4(2(2(1(2(3(1(4(x1))))))))))))))
   4^1(3(5(0(0(4(1(3(4(0(5(4(x1)))))))))))) -> 2^1(5(2(2(2(4(2(2(1(2(3(1(4(x1)))))))))))))
   4^1(3(5(0(0(4(1(3(4(0(5(4(x1)))))))))))) -> 5^1(2(2(2(4(2(2(1(2(3(1(4(x1))))))))))))
   4^1(3(5(0(0(4(1(3(4(0(5(4(x1)))))))))))) -> 2^1(2(2(4(2(2(1(2(3(1(4(x1)))))))))))
   4^1(3(5(0(0(4(1(3(4(0(5(4(x1)))))))))))) -> 2^1(2(4(2(2(1(2(3(1(4(x1))))))))))
   4^1(3(5(0(0(4(1(3(4(0(5(4(x1)))))))))))) -> 2^1(4(2(2(1(2(3(1(4(x1)))))))))
   4^1(3(5(0(0(4(1(3(4(0(5(4(x1)))))))))))) -> 4^1(2(2(1(2(3(1(4(x1))))))))
   4^1(3(5(0(0(4(1(3(4(0(5(4(x1)))))))))))) -> 2^1(2(1(2(3(1(4(x1)))))))
   4^1(3(5(0(0(4(1(3(4(0(5(4(x1)))))))))))) -> 2^1(1(2(3(1(4(x1))))))
   4^1(3(5(0(0(4(1(3(4(0(5(4(x1)))))))))))) -> 1^1(2(3(1(4(x1)))))
   4^1(3(5(0(0(4(1(3(4(0(5(4(x1)))))))))))) -> 2^1(3(1(4(x1))))
   4^1(3(5(0(0(4(1(3(4(0(5(4(x1)))))))))))) -> 3^1(1(4(x1)))
   4^1(3(5(0(0(4(1(3(4(0(5(4(x1)))))))))))) -> 1^1(4(x1))
   0^1(3(1(4(4(4(5(4(1(1(0(5(x1)))))))))))) -> 1^1(2(0(2(5(2(2(5(2(3(1(1(4(1(2(5(0(x1)))))))))))))))))
   0^1(3(1(4(4(4(5(4(1(1(0(5(x1)))))))))))) -> 2^1(0(2(5(2(2(5(2(3(1(1(4(1(2(5(0(x1))))))))))))))))
   0^1(3(1(4(4(4(5(4(1(1(0(5(x1)))))))))))) -> 0^1(2(5(2(2(5(2(3(1(1(4(1(2(5(0(x1)))))))))))))))
   0^1(3(1(4(4(4(5(4(1(1(0(5(x1)))))))))))) -> 2^1(5(2(2(5(2(3(1(1(4(1(2(5(0(x1))))))))))))))
   0^1(3(1(4(4(4(5(4(1(1(0(5(x1)))))))))))) -> 5^1(2(2(5(2(3(1(1(4(1(2(5(0(x1)))))))))))))
   0^1(3(1(4(4(4(5(4(1(1(0(5(x1)))))))))))) -> 2^1(2(5(2(3(1(1(4(1(2(5(0(x1))))))))))))
   0^1(3(1(4(4(4(5(4(1(1(0(5(x1)))))))))))) -> 2^1(5(2(3(1(1(4(1(2(5(0(x1)))))))))))
   0^1(3(1(4(4(4(5(4(1(1(0(5(x1)))))))))))) -> 5^1(2(3(1(1(4(1(2(5(0(x1))))))))))
   0^1(3(1(4(4(4(5(4(1(1(0(5(x1)))))))))))) -> 2^1(3(1(1(4(1(2(5(0(x1)))))))))
   0^1(3(1(4(4(4(5(4(1(1(0(5(x1)))))))))))) -> 3^1(1(1(4(1(2(5(0(x1))))))))
   0^1(3(1(4(4(4(5(4(1(1(0(5(x1)))))))))))) -> 1^1(1(4(1(2(5(0(x1)))))))
   0^1(3(1(4(4(4(5(4(1(1(0(5(x1)))))))))))) -> 1^1(4(1(2(5(0(x1))))))
   0^1(3(1(4(4(4(5(4(1(1(0(5(x1)))))))))))) -> 4^1(1(2(5(0(x1)))))
   0^1(3(1(4(4(4(5(4(1(1(0(5(x1)))))))))))) -> 1^1(2(5(0(x1))))
   0^1(3(1(4(4(4(5(4(1(1(0(5(x1)))))))))))) -> 2^1(5(0(x1)))
   0^1(3(1(4(4(4(5(4(1(1(0(5(x1)))))))))))) -> 5^1(0(x1))
   0^1(3(1(4(4(4(5(4(1(1(0(5(x1)))))))))))) -> 0^1(x1)
   0^1(0(0(4(5(0(5(1(4(1(0(5(x1)))))))))))) -> 2^1(1(0(3(2(4(2(2(2(1(5(3(1(4(2(2(5(x1)))))))))))))))))
   0^1(0(0(4(5(0(5(1(4(1(0(5(x1)))))))))))) -> 1^1(0(3(2(4(2(2(2(1(5(3(1(4(2(2(5(x1))))))))))))))))
   0^1(0(0(4(5(0(5(1(4(1(0(5(x1)))))))))))) -> 0^1(3(2(4(2(2(2(1(5(3(1(4(2(2(5(x1)))))))))))))))
   0^1(0(0(4(5(0(5(1(4(1(0(5(x1)))))))))))) -> 3^1(2(4(2(2(2(1(5(3(1(4(2(2(5(x1))))))))))))))
   0^1(0(0(4(5(0(5(1(4(1(0(5(x1)))))))))))) -> 2^1(4(2(2(2(1(5(3(1(4(2(2(5(x1)))))))))))))
   0^1(0(0(4(5(0(5(1(4(1(0(5(x1)))))))))))) -> 4^1(2(2(2(1(5(3(1(4(2(2(5(x1))))))))))))
   0^1(0(0(4(5(0(5(1(4(1(0(5(x1)))))))))))) -> 2^1(2(2(1(5(3(1(4(2(2(5(x1)))))))))))
   0^1(0(0(4(5(0(5(1(4(1(0(5(x1)))))))))))) -> 2^1(2(1(5(3(1(4(2(2(5(x1))))))))))
   0^1(0(0(4(5(0(5(1(4(1(0(5(x1)))))))))))) -> 2^1(1(5(3(1(4(2(2(5(x1)))))))))
   0^1(0(0(4(5(0(5(1(4(1(0(5(x1)))))))))))) -> 1^1(5(3(1(4(2(2(5(x1))))))))
   0^1(0(0(4(5(0(5(1(4(1(0(5(x1)))))))))))) -> 5^1(3(1(4(2(2(5(x1)))))))
   0^1(0(0(4(5(0(5(1(4(1(0(5(x1)))))))))))) -> 3^1(1(4(2(2(5(x1))))))
   0^1(0(0(4(5(0(5(1(4(1(0(5(x1)))))))))))) -> 1^1(4(2(2(5(x1)))))
   0^1(0(0(4(5(0(5(1(4(1(0(5(x1)))))))))))) -> 4^1(2(2(5(x1))))
   0^1(0(0(4(5(0(5(1(4(1(0(5(x1)))))))))))) -> 2^1(2(5(x1)))
   0^1(0(0(4(5(0(5(1(4(1(0(5(x1)))))))))))) -> 2^1(5(x1))
   2^1(5(1(1(5(4(1(1(1(3(0(5(x1)))))))))))) -> 4^1(2(5(0(4(0(4(0(3(1(2(2(2(2(3(2(2(x1)))))))))))))))))
   2^1(5(1(1(5(4(1(1(1(3(0(5(x1)))))))))))) -> 2^1(5(0(4(0(4(0(3(1(2(2(2(2(3(2(2(x1))))))))))))))))
   2^1(5(1(1(5(4(1(1(1(3(0(5(x1)))))))))))) -> 5^1(0(4(0(4(0(3(1(2(2(2(2(3(2(2(x1)))))))))))))))
   2^1(5(1(1(5(4(1(1(1(3(0(5(x1)))))))))))) -> 0^1(4(0(4(0(3(1(2(2(2(2(3(2(2(x1))))))))))))))
   2^1(5(1(1(5(4(1(1(1(3(0(5(x1)))))))))))) -> 4^1(0(4(0(3(1(2(2(2(2(3(2(2(x1)))))))))))))
   2^1(5(1(1(5(4(1(1(1(3(0(5(x1)))))))))))) -> 0^1(4(0(3(1(2(2(2(2(3(2(2(x1))))))))))))
   2^1(5(1(1(5(4(1(1(1(3(0(5(x1)))))))))))) -> 4^1(0(3(1(2(2(2(2(3(2(2(x1)))))))))))
   2^1(5(1(1(5(4(1(1(1(3(0(5(x1)))))))))))) -> 0^1(3(1(2(2(2(2(3(2(2(x1))))))))))
   2^1(5(1(1(5(4(1(1(1(3(0(5(x1)))))))))))) -> 3^1(1(2(2(2(2(3(2(2(x1)))))))))
   2^1(5(1(1(5(4(1(1(1(3(0(5(x1)))))))))))) -> 1^1(2(2(2(2(3(2(2(x1))))))))
   2^1(5(1(1(5(4(1(1(1(3(0(5(x1)))))))))))) -> 2^1(2(2(2(3(2(2(x1)))))))
   2^1(5(1(1(5(4(1(1(1(3(0(5(x1)))))))))))) -> 2^1(2(2(3(2(2(x1))))))
   2^1(5(1(1(5(4(1(1(1(3(0(5(x1)))))))))))) -> 2^1(2(3(2(2(x1)))))
   2^1(5(1(1(5(4(1(1(1(3(0(5(x1)))))))))))) -> 2^1(3(2(2(x1))))
   2^1(5(1(1(5(4(1(1(1(3(0(5(x1)))))))))))) -> 3^1(2(2(x1)))
   2^1(5(1(1(5(4(1(1(1(3(0(5(x1)))))))))))) -> 2^1(2(x1))
   2^1(5(1(1(5(4(1(1(1(3(0(5(x1)))))))))))) -> 2^1(x1)
   5^1(0(4(1(4(4(5(1(3(4(0(5(x1)))))))))))) -> 2^1(2(3(5(4(3(3(1(1(2(4(1(2(1(2(2(0(x1)))))))))))))))))
   5^1(0(4(1(4(4(5(1(3(4(0(5(x1)))))))))))) -> 2^1(3(5(4(3(3(1(1(2(4(1(2(1(2(2(0(x1))))))))))))))))
   5^1(0(4(1(4(4(5(1(3(4(0(5(x1)))))))))))) -> 3^1(5(4(3(3(1(1(2(4(1(2(1(2(2(0(x1)))))))))))))))
   5^1(0(4(1(4(4(5(1(3(4(0(5(x1)))))))))))) -> 5^1(4(3(3(1(1(2(4(1(2(1(2(2(0(x1))))))))))))))
   5^1(0(4(1(4(4(5(1(3(4(0(5(x1)))))))))))) -> 4^1(3(3(1(1(2(4(1(2(1(2(2(0(x1)))))))))))))
   5^1(0(4(1(4(4(5(1(3(4(0(5(x1)))))))))))) -> 3^1(3(1(1(2(4(1(2(1(2(2(0(x1))))))))))))
   5^1(0(4(1(4(4(5(1(3(4(0(5(x1)))))))))))) -> 3^1(1(1(2(4(1(2(1(2(2(0(x1)))))))))))
   5^1(0(4(1(4(4(5(1(3(4(0(5(x1)))))))))))) -> 1^1(1(2(4(1(2(1(2(2(0(x1))))))))))
   5^1(0(4(1(4(4(5(1(3(4(0(5(x1)))))))))))) -> 1^1(2(4(1(2(1(2(2(0(x1)))))))))
   5^1(0(4(1(4(4(5(1(3(4(0(5(x1)))))))))))) -> 2^1(4(1(2(1(2(2(0(x1))))))))
   5^1(0(4(1(4(4(5(1(3(4(0(5(x1)))))))))))) -> 4^1(1(2(1(2(2(0(x1)))))))
   5^1(0(4(1(4(4(5(1(3(4(0(5(x1)))))))))))) -> 1^1(2(1(2(2(0(x1))))))
   5^1(0(4(1(4(4(5(1(3(4(0(5(x1)))))))))))) -> 2^1(1(2(2(0(x1)))))
   5^1(0(4(1(4(4(5(1(3(4(0(5(x1)))))))))))) -> 1^1(2(2(0(x1))))
   5^1(0(4(1(4(4(5(1(3(4(0(5(x1)))))))))))) -> 2^1(2(0(x1)))
   5^1(0(4(1(4(4(5(1(3(4(0(5(x1)))))))))))) -> 2^1(0(x1))
   5^1(0(4(1(4(4(5(1(3(4(0(5(x1)))))))))))) -> 0^1(x1)
   3^1(0(0(0(4(5(5(4(4(5(0(5(x1)))))))))))) -> 2^1(3(2(1(3(1(1(2(1(0(2(0(1(2(1(2(3(4(x1))))))))))))))))))
   3^1(0(0(0(4(5(5(4(4(5(0(5(x1)))))))))))) -> 3^1(2(1(3(1(1(2(1(0(2(0(1(2(1(2(3(4(x1)))))))))))))))))
   3^1(0(0(0(4(5(5(4(4(5(0(5(x1)))))))))))) -> 2^1(1(3(1(1(2(1(0(2(0(1(2(1(2(3(4(x1))))))))))))))))
   3^1(0(0(0(4(5(5(4(4(5(0(5(x1)))))))))))) -> 1^1(3(1(1(2(1(0(2(0(1(2(1(2(3(4(x1)))))))))))))))
   3^1(0(0(0(4(5(5(4(4(5(0(5(x1)))))))))))) -> 3^1(1(1(2(1(0(2(0(1(2(1(2(3(4(x1))))))))))))))
   3^1(0(0(0(4(5(5(4(4(5(0(5(x1)))))))))))) -> 1^1(1(2(1(0(2(0(1(2(1(2(3(4(x1)))))))))))))
   3^1(0(0(0(4(5(5(4(4(5(0(5(x1)))))))))))) -> 1^1(2(1(0(2(0(1(2(1(2(3(4(x1))))))))))))
   3^1(0(0(0(4(5(5(4(4(5(0(5(x1)))))))))))) -> 2^1(1(0(2(0(1(2(1(2(3(4(x1)))))))))))
   3^1(0(0(0(4(5(5(4(4(5(0(5(x1)))))))))))) -> 1^1(0(2(0(1(2(1(2(3(4(x1))))))))))
   3^1(0(0(0(4(5(5(4(4(5(0(5(x1)))))))))))) -> 0^1(2(0(1(2(1(2(3(4(x1)))))))))
   3^1(0(0(0(4(5(5(4(4(5(0(5(x1)))))))))))) -> 2^1(0(1(2(1(2(3(4(x1))))))))
   3^1(0(0(0(4(5(5(4(4(5(0(5(x1)))))))))))) -> 0^1(1(2(1(2(3(4(x1)))))))
   3^1(0(0(0(4(5(5(4(4(5(0(5(x1)))))))))))) -> 1^1(2(1(2(3(4(x1))))))
   3^1(0(0(0(4(5(5(4(4(5(0(5(x1)))))))))))) -> 2^1(1(2(3(4(x1)))))
   3^1(0(0(0(4(5(5(4(4(5(0(5(x1)))))))))))) -> 1^1(2(3(4(x1))))
   3^1(0(0(0(4(5(5(4(4(5(0(5(x1)))))))))))) -> 2^1(3(4(x1)))
   3^1(0(0(0(4(5(5(4(4(5(0(5(x1)))))))))))) -> 3^1(4(x1))
   3^1(0(0(0(4(5(5(4(4(5(0(5(x1)))))))))))) -> 4^1(x1)
   3^1(0(0(2(5(1(0(0(5(5(0(5(x1)))))))))))) -> 1^1(1(2(4(4(4(1(2(3(3(4(4(2(0(5(2(2(x1)))))))))))))))))
   3^1(0(0(2(5(1(0(0(5(5(0(5(x1)))))))))))) -> 1^1(2(4(4(4(1(2(3(3(4(4(2(0(5(2(2(x1))))))))))))))))
   3^1(0(0(2(5(1(0(0(5(5(0(5(x1)))))))))))) -> 2^1(4(4(4(1(2(3(3(4(4(2(0(5(2(2(x1)))))))))))))))
   3^1(0(0(2(5(1(0(0(5(5(0(5(x1)))))))))))) -> 4^1(4(4(1(2(3(3(4(4(2(0(5(2(2(x1))))))))))))))
   3^1(0(0(2(5(1(0(0(5(5(0(5(x1)))))))))))) -> 4^1(4(1(2(3(3(4(4(2(0(5(2(2(x1)))))))))))))
   3^1(0(0(2(5(1(0(0(5(5(0(5(x1)))))))))))) -> 4^1(1(2(3(3(4(4(2(0(5(2(2(x1))))))))))))
   3^1(0(0(2(5(1(0(0(5(5(0(5(x1)))))))))))) -> 1^1(2(3(3(4(4(2(0(5(2(2(x1)))))))))))
   3^1(0(0(2(5(1(0(0(5(5(0(5(x1)))))))))))) -> 2^1(3(3(4(4(2(0(5(2(2(x1))))))))))
   3^1(0(0(2(5(1(0(0(5(5(0(5(x1)))))))))))) -> 3^1(3(4(4(2(0(5(2(2(x1)))))))))
   3^1(0(0(2(5(1(0(0(5(5(0(5(x1)))))))))))) -> 3^1(4(4(2(0(5(2(2(x1))))))))
   3^1(0(0(2(5(1(0(0(5(5(0(5(x1)))))))))))) -> 4^1(4(2(0(5(2(2(x1)))))))
   3^1(0(0(2(5(1(0(0(5(5(0(5(x1)))))))))))) -> 4^1(2(0(5(2(2(x1))))))
   3^1(0(0(2(5(1(0(0(5(5(0(5(x1)))))))))))) -> 2^1(0(5(2(2(x1)))))
   3^1(0(0(2(5(1(0(0(5(5(0(5(x1)))))))))))) -> 0^1(5(2(2(x1))))
   3^1(0(0(2(5(1(0(0(5(5(0(5(x1)))))))))))) -> 5^1(2(2(x1)))
   3^1(0(0(2(5(1(0(0(5(5(0(5(x1)))))))))))) -> 2^1(2(x1))
   3^1(0(0(2(5(1(0(0(5(5(0(5(x1)))))))))))) -> 2^1(x1)
   4^1(2(4(0(0(4(4(1(1(1(1(5(x1)))))))))))) -> 0^1(1(2(1(0(4(3(4(2(2(2(5(4(4(5(x1)))))))))))))))
   4^1(2(4(0(0(4(4(1(1(1(1(5(x1)))))))))))) -> 1^1(2(1(0(4(3(4(2(2(2(5(4(4(5(x1))))))))))))))
   4^1(2(4(0(0(4(4(1(1(1(1(5(x1)))))))))))) -> 2^1(1(0(4(3(4(2(2(2(5(4(4(5(x1)))))))))))))
   4^1(2(4(0(0(4(4(1(1(1(1(5(x1)))))))))))) -> 1^1(0(4(3(4(2(2(2(5(4(4(5(x1))))))))))))
   4^1(2(4(0(0(4(4(1(1(1(1(5(x1)))))))))))) -> 0^1(4(3(4(2(2(2(5(4(4(5(x1)))))))))))
   4^1(2(4(0(0(4(4(1(1(1(1(5(x1)))))))))))) -> 4^1(3(4(2(2(2(5(4(4(5(x1))))))))))
   4^1(2(4(0(0(4(4(1(1(1(1(5(x1)))))))))))) -> 3^1(4(2(2(2(5(4(4(5(x1)))))))))
   4^1(2(4(0(0(4(4(1(1(1(1(5(x1)))))))))))) -> 4^1(2(2(2(5(4(4(5(x1))))))))
   4^1(2(4(0(0(4(4(1(1(1(1(5(x1)))))))))))) -> 2^1(2(2(5(4(4(5(x1)))))))
   4^1(2(4(0(0(4(4(1(1(1(1(5(x1)))))))))))) -> 2^1(2(5(4(4(5(x1))))))
   4^1(2(4(0(0(4(4(1(1(1(1(5(x1)))))))))))) -> 2^1(5(4(4(5(x1)))))
   4^1(2(4(0(0(4(4(1(1(1(1(5(x1)))))))))))) -> 5^1(4(4(5(x1))))
   4^1(2(4(0(0(4(4(1(1(1(1(5(x1)))))))))))) -> 4^1(4(5(x1)))
   4^1(2(4(0(0(4(4(1(1(1(1(5(x1)))))))))))) -> 4^1(5(x1))
   4^1(0(0(5(4(1(0(2(1(5(1(5(x1)))))))))))) -> 3^1(2(1(0(1(4(4(2(5(5(1(2(1(5(2(2(2(x1)))))))))))))))))
   4^1(0(0(5(4(1(0(2(1(5(1(5(x1)))))))))))) -> 2^1(1(0(1(4(4(2(5(5(1(2(1(5(2(2(2(x1))))))))))))))))
   4^1(0(0(5(4(1(0(2(1(5(1(5(x1)))))))))))) -> 1^1(0(1(4(4(2(5(5(1(2(1(5(2(2(2(x1)))))))))))))))
   4^1(0(0(5(4(1(0(2(1(5(1(5(x1)))))))))))) -> 0^1(1(4(4(2(5(5(1(2(1(5(2(2(2(x1))))))))))))))
   4^1(0(0(5(4(1(0(2(1(5(1(5(x1)))))))))))) -> 1^1(4(4(2(5(5(1(2(1(5(2(2(2(x1)))))))))))))
   4^1(0(0(5(4(1(0(2(1(5(1(5(x1)))))))))))) -> 4^1(4(2(5(5(1(2(1(5(2(2(2(x1))))))))))))
   4^1(0(0(5(4(1(0(2(1(5(1(5(x1)))))))))))) -> 4^1(2(5(5(1(2(1(5(2(2(2(x1)))))))))))
   4^1(0(0(5(4(1(0(2(1(5(1(5(x1)))))))))))) -> 2^1(5(5(1(2(1(5(2(2(2(x1))))))))))
   4^1(0(0(5(4(1(0(2(1(5(1(5(x1)))))))))))) -> 5^1(5(1(2(1(5(2(2(2(x1)))))))))
   4^1(0(0(5(4(1(0(2(1(5(1(5(x1)))))))))))) -> 5^1(1(2(1(5(2(2(2(x1))))))))
   4^1(0(0(5(4(1(0(2(1(5(1(5(x1)))))))))))) -> 1^1(2(1(5(2(2(2(x1)))))))
   4^1(0(0(5(4(1(0(2(1(5(1(5(x1)))))))))))) -> 2^1(1(5(2(2(2(x1))))))
   4^1(0(0(5(4(1(0(2(1(5(1(5(x1)))))))))))) -> 1^1(5(2(2(2(x1)))))
   4^1(0(0(5(4(1(0(2(1(5(1(5(x1)))))))))))) -> 5^1(2(2(2(x1))))
   4^1(0(0(5(4(1(0(2(1(5(1(5(x1)))))))))))) -> 2^1(2(2(x1)))
   4^1(0(0(5(4(1(0(2(1(5(1(5(x1)))))))))))) -> 2^1(2(x1))
   4^1(0(0(5(4(1(0(2(1(5(1(5(x1)))))))))))) -> 2^1(x1)
   4^1(4(4(3(0(0(1(2(1(5(1(5(x1)))))))))))) -> 2^1(2(1(3(1(2(1(2(5(0(4(2(2(5(2(x1)))))))))))))))
   4^1(4(4(3(0(0(1(2(1(5(1(5(x1)))))))))))) -> 2^1(1(3(1(2(1(2(5(0(4(2(2(5(2(x1))))))))))))))
   4^1(4(4(3(0(0(1(2(1(5(1(5(x1)))))))))))) -> 1^1(3(1(2(1(2(5(0(4(2(2(5(2(x1)))))))))))))
   4^1(4(4(3(0(0(1(2(1(5(1(5(x1)))))))))))) -> 3^1(1(2(1(2(5(0(4(2(2(5(2(x1))))))))))))
   4^1(4(4(3(0(0(1(2(1(5(1(5(x1)))))))))))) -> 1^1(2(1(2(5(0(4(2(2(5(2(x1)))))))))))
   4^1(4(4(3(0(0(1(2(1(5(1(5(x1)))))))))))) -> 2^1(1(2(5(0(4(2(2(5(2(x1))))))))))
   4^1(4(4(3(0(0(1(2(1(5(1(5(x1)))))))))))) -> 1^1(2(5(0(4(2(2(5(2(x1)))))))))
   4^1(4(4(3(0(0(1(2(1(5(1(5(x1)))))))))))) -> 2^1(5(0(4(2(2(5(2(x1))))))))
   4^1(4(4(3(0(0(1(2(1(5(1(5(x1)))))))))))) -> 5^1(0(4(2(2(5(2(x1)))))))
   4^1(4(4(3(0(0(1(2(1(5(1(5(x1)))))))))))) -> 0^1(4(2(2(5(2(x1))))))
   4^1(4(4(3(0(0(1(2(1(5(1(5(x1)))))))))))) -> 4^1(2(2(5(2(x1)))))
   4^1(4(4(3(0(0(1(2(1(5(1(5(x1)))))))))))) -> 2^1(2(5(2(x1))))
   4^1(4(4(3(0(0(1(2(1(5(1(5(x1)))))))))))) -> 2^1(5(2(x1)))
   4^1(4(4(3(0(0(1(2(1(5(1(5(x1)))))))))))) -> 5^1(2(x1))
   4^1(4(4(3(0(0(1(2(1(5(1(5(x1)))))))))))) -> 2^1(x1)
   3^1(1(0(5(5(3(5(0(5(5(1(5(x1)))))))))))) -> 0^1(3(0(2(2(2(3(3(2(1(2(3(2(4(3(x1)))))))))))))))
   3^1(1(0(5(5(3(5(0(5(5(1(5(x1)))))))))))) -> 3^1(0(2(2(2(3(3(2(1(2(3(2(4(3(x1))))))))))))))
   3^1(1(0(5(5(3(5(0(5(5(1(5(x1)))))))))))) -> 0^1(2(2(2(3(3(2(1(2(3(2(4(3(x1)))))))))))))
   3^1(1(0(5(5(3(5(0(5(5(1(5(x1)))))))))))) -> 2^1(2(2(3(3(2(1(2(3(2(4(3(x1))))))))))))
   3^1(1(0(5(5(3(5(0(5(5(1(5(x1)))))))))))) -> 2^1(2(3(3(2(1(2(3(2(4(3(x1)))))))))))
   3^1(1(0(5(5(3(5(0(5(5(1(5(x1)))))))))))) -> 2^1(3(3(2(1(2(3(2(4(3(x1))))))))))
   3^1(1(0(5(5(3(5(0(5(5(1(5(x1)))))))))))) -> 3^1(3(2(1(2(3(2(4(3(x1)))))))))
   3^1(1(0(5(5(3(5(0(5(5(1(5(x1)))))))))))) -> 3^1(2(1(2(3(2(4(3(x1))))))))
   3^1(1(0(5(5(3(5(0(5(5(1(5(x1)))))))))))) -> 2^1(1(2(3(2(4(3(x1)))))))
   3^1(1(0(5(5(3(5(0(5(5(1(5(x1)))))))))))) -> 1^1(2(3(2(4(3(x1))))))
   3^1(1(0(5(5(3(5(0(5(5(1(5(x1)))))))))))) -> 2^1(3(2(4(3(x1)))))
   3^1(1(0(5(5(3(5(0(5(5(1(5(x1)))))))))))) -> 3^1(2(4(3(x1))))
   3^1(1(0(5(5(3(5(0(5(5(1(5(x1)))))))))))) -> 2^1(4(3(x1)))
   3^1(1(0(5(5(3(5(0(5(5(1(5(x1)))))))))))) -> 4^1(3(x1))
   3^1(1(0(5(5(3(5(0(5(5(1(5(x1)))))))))))) -> 3^1(x1)
   4^1(4(4(2(0(0(2(5(5(5(1(5(x1)))))))))))) -> 5^1(3(3(5(0(2(2(5(2(4(4(2(4(1(5(x1)))))))))))))))
   4^1(4(4(2(0(0(2(5(5(5(1(5(x1)))))))))))) -> 3^1(3(5(0(2(2(5(2(4(4(2(4(1(5(x1))))))))))))))
   4^1(4(4(2(0(0(2(5(5(5(1(5(x1)))))))))))) -> 3^1(5(0(2(2(5(2(4(4(2(4(1(5(x1)))))))))))))
   4^1(4(4(2(0(0(2(5(5(5(1(5(x1)))))))))))) -> 5^1(0(2(2(5(2(4(4(2(4(1(5(x1))))))))))))
   4^1(4(4(2(0(0(2(5(5(5(1(5(x1)))))))))))) -> 0^1(2(2(5(2(4(4(2(4(1(5(x1)))))))))))
   4^1(4(4(2(0(0(2(5(5(5(1(5(x1)))))))))))) -> 2^1(2(5(2(4(4(2(4(1(5(x1))))))))))
   4^1(4(4(2(0(0(2(5(5(5(1(5(x1)))))))))))) -> 2^1(5(2(4(4(2(4(1(5(x1)))))))))
   4^1(4(4(2(0(0(2(5(5(5(1(5(x1)))))))))))) -> 5^1(2(4(4(2(4(1(5(x1))))))))
   4^1(4(4(2(0(0(2(5(5(5(1(5(x1)))))))))))) -> 2^1(4(4(2(4(1(5(x1)))))))
   4^1(4(4(2(0(0(2(5(5(5(1(5(x1)))))))))))) -> 4^1(4(2(4(1(5(x1))))))
   4^1(4(4(2(0(0(2(5(5(5(1(5(x1)))))))))))) -> 4^1(2(4(1(5(x1)))))
   4^1(4(4(2(0(0(2(5(5(5(1(5(x1)))))))))))) -> 2^1(4(1(5(x1))))
   4^1(4(4(2(0(0(2(5(5(5(1(5(x1)))))))))))) -> 4^1(1(5(x1)))
   5^1(4(5(2(1(1(4(5(5(5(1(5(x1)))))))))))) -> 2^1(2(0(2(5(2(1(2(2(3(1(2(4(4(2(5(5(5(x1))))))))))))))))))
   5^1(4(5(2(1(1(4(5(5(5(1(5(x1)))))))))))) -> 2^1(0(2(5(2(1(2(2(3(1(2(4(4(2(5(5(5(x1)))))))))))))))))
   5^1(4(5(2(1(1(4(5(5(5(1(5(x1)))))))))))) -> 0^1(2(5(2(1(2(2(3(1(2(4(4(2(5(5(5(x1))))))))))))))))
   5^1(4(5(2(1(1(4(5(5(5(1(5(x1)))))))))))) -> 2^1(5(2(1(2(2(3(1(2(4(4(2(5(5(5(x1)))))))))))))))
   5^1(4(5(2(1(1(4(5(5(5(1(5(x1)))))))))))) -> 5^1(2(1(2(2(3(1(2(4(4(2(5(5(5(x1))))))))))))))
   5^1(4(5(2(1(1(4(5(5(5(1(5(x1)))))))))))) -> 2^1(1(2(2(3(1(2(4(4(2(5(5(5(x1)))))))))))))
   5^1(4(5(2(1(1(4(5(5(5(1(5(x1)))))))))))) -> 1^1(2(2(3(1(2(4(4(2(5(5(5(x1))))))))))))
   5^1(4(5(2(1(1(4(5(5(5(1(5(x1)))))))))))) -> 2^1(2(3(1(2(4(4(2(5(5(5(x1)))))))))))
   5^1(4(5(2(1(1(4(5(5(5(1(5(x1)))))))))))) -> 2^1(3(1(2(4(4(2(5(5(5(x1))))))))))
   5^1(4(5(2(1(1(4(5(5(5(1(5(x1)))))))))))) -> 3^1(1(2(4(4(2(5(5(5(x1)))))))))
   5^1(4(5(2(1(1(4(5(5(5(1(5(x1)))))))))))) -> 1^1(2(4(4(2(5(5(5(x1))))))))
   5^1(4(5(2(1(1(4(5(5(5(1(5(x1)))))))))))) -> 2^1(4(4(2(5(5(5(x1)))))))
   5^1(4(5(2(1(1(4(5(5(5(1(5(x1)))))))))))) -> 4^1(4(2(5(5(5(x1))))))
   5^1(4(5(2(1(1(4(5(5(5(1(5(x1)))))))))))) -> 4^1(2(5(5(5(x1)))))
   5^1(4(5(2(1(1(4(5(5(5(1(5(x1)))))))))))) -> 2^1(5(5(5(x1))))
   5^1(4(5(2(1(1(4(5(5(5(1(5(x1)))))))))))) -> 5^1(5(5(x1)))
   5^1(4(5(2(1(1(4(5(5(5(1(5(x1)))))))))))) -> 5^1(5(x1))
   3^1(0(1(5(5(4(0(1(5(5(2(5(x1)))))))))))) -> 1^1(3(2(1(2(4(1(2(2(3(5(1(3(2(x1))))))))))))))
   3^1(0(1(5(5(4(0(1(5(5(2(5(x1)))))))))))) -> 3^1(2(1(2(4(1(2(2(3(5(1(3(2(x1)))))))))))))
   3^1(0(1(5(5(4(0(1(5(5(2(5(x1)))))))))))) -> 2^1(1(2(4(1(2(2(3(5(1(3(2(x1))))))))))))
   3^1(0(1(5(5(4(0(1(5(5(2(5(x1)))))))))))) -> 1^1(2(4(1(2(2(3(5(1(3(2(x1)))))))))))
   3^1(0(1(5(5(4(0(1(5(5(2(5(x1)))))))))))) -> 2^1(4(1(2(2(3(5(1(3(2(x1))))))))))
   3^1(0(1(5(5(4(0(1(5(5(2(5(x1)))))))))))) -> 4^1(1(2(2(3(5(1(3(2(x1)))))))))
   3^1(0(1(5(5(4(0(1(5(5(2(5(x1)))))))))))) -> 1^1(2(2(3(5(1(3(2(x1))))))))
   3^1(0(1(5(5(4(0(1(5(5(2(5(x1)))))))))))) -> 2^1(2(3(5(1(3(2(x1)))))))
   3^1(0(1(5(5(4(0(1(5(5(2(5(x1)))))))))))) -> 2^1(3(5(1(3(2(x1))))))
   3^1(0(1(5(5(4(0(1(5(5(2(5(x1)))))))))))) -> 3^1(5(1(3(2(x1)))))
   3^1(0(1(5(5(4(0(1(5(5(2(5(x1)))))))))))) -> 5^1(1(3(2(x1))))
   3^1(0(1(5(5(4(0(1(5(5(2(5(x1)))))))))))) -> 1^1(3(2(x1)))
   3^1(0(1(5(5(4(0(1(5(5(2(5(x1)))))))))))) -> 3^1(2(x1))
   3^1(0(1(5(5(4(0(1(5(5(2(5(x1)))))))))))) -> 2^1(x1)
   3^1(0(5(5(5(0(0(1(5(1(3(5(x1)))))))))))) -> 1^1(4(2(1(4(0(2(3(1(4(2(1(2(4(2(2(3(5(x1))))))))))))))))))
   3^1(0(5(5(5(0(0(1(5(1(3(5(x1)))))))))))) -> 4^1(2(1(4(0(2(3(1(4(2(1(2(4(2(2(3(5(x1)))))))))))))))))
   3^1(0(5(5(5(0(0(1(5(1(3(5(x1)))))))))))) -> 2^1(1(4(0(2(3(1(4(2(1(2(4(2(2(3(5(x1))))))))))))))))
   3^1(0(5(5(5(0(0(1(5(1(3(5(x1)))))))))))) -> 1^1(4(0(2(3(1(4(2(1(2(4(2(2(3(5(x1)))))))))))))))
   3^1(0(5(5(5(0(0(1(5(1(3(5(x1)))))))))))) -> 4^1(0(2(3(1(4(2(1(2(4(2(2(3(5(x1))))))))))))))
   3^1(0(5(5(5(0(0(1(5(1(3(5(x1)))))))))))) -> 0^1(2(3(1(4(2(1(2(4(2(2(3(5(x1)))))))))))))
   3^1(0(5(5(5(0(0(1(5(1(3(5(x1)))))))))))) -> 2^1(3(1(4(2(1(2(4(2(2(3(5(x1))))))))))))
   3^1(0(5(5(5(0(0(1(5(1(3(5(x1)))))))))))) -> 3^1(1(4(2(1(2(4(2(2(3(5(x1)))))))))))
   3^1(0(5(5(5(0(0(1(5(1(3(5(x1)))))))))))) -> 1^1(4(2(1(2(4(2(2(3(5(x1))))))))))
   3^1(0(5(5(5(0(0(1(5(1(3(5(x1)))))))))))) -> 4^1(2(1(2(4(2(2(3(5(x1)))))))))
   3^1(0(5(5(5(0(0(1(5(1(3(5(x1)))))))))))) -> 2^1(1(2(4(2(2(3(5(x1))))))))
   3^1(0(5(5(5(0(0(1(5(1(3(5(x1)))))))))))) -> 1^1(2(4(2(2(3(5(x1)))))))
   3^1(0(5(5(5(0(0(1(5(1(3(5(x1)))))))))))) -> 2^1(4(2(2(3(5(x1))))))
   3^1(0(5(5(5(0(0(1(5(1(3(5(x1)))))))))))) -> 4^1(2(2(3(5(x1)))))
   3^1(0(5(5(5(0(0(1(5(1(3(5(x1)))))))))))) -> 2^1(2(3(5(x1))))
   3^1(0(5(5(5(0(0(1(5(1(3(5(x1)))))))))))) -> 2^1(3(5(x1)))
   3^1(5(4(4(4(5(2(1(3(4(3(5(x1)))))))))))) -> 2^1(2(2(2(2(3(3(1(2(5(2(3(0(4(x1))))))))))))))
   3^1(5(4(4(4(5(2(1(3(4(3(5(x1)))))))))))) -> 2^1(2(2(2(3(3(1(2(5(2(3(0(4(x1)))))))))))))
   3^1(5(4(4(4(5(2(1(3(4(3(5(x1)))))))))))) -> 2^1(2(2(3(3(1(2(5(2(3(0(4(x1))))))))))))
   3^1(5(4(4(4(5(2(1(3(4(3(5(x1)))))))))))) -> 2^1(2(3(3(1(2(5(2(3(0(4(x1)))))))))))
   3^1(5(4(4(4(5(2(1(3(4(3(5(x1)))))))))))) -> 2^1(3(3(1(2(5(2(3(0(4(x1))))))))))
   3^1(5(4(4(4(5(2(1(3(4(3(5(x1)))))))))))) -> 3^1(3(1(2(5(2(3(0(4(x1)))))))))
   3^1(5(4(4(4(5(2(1(3(4(3(5(x1)))))))))))) -> 3^1(1(2(5(2(3(0(4(x1))))))))
   3^1(5(4(4(4(5(2(1(3(4(3(5(x1)))))))))))) -> 1^1(2(5(2(3(0(4(x1)))))))
   3^1(5(4(4(4(5(2(1(3(4(3(5(x1)))))))))))) -> 2^1(5(2(3(0(4(x1))))))
   3^1(5(4(4(4(5(2(1(3(4(3(5(x1)))))))))))) -> 5^1(2(3(0(4(x1)))))
   3^1(5(4(4(4(5(2(1(3(4(3(5(x1)))))))))))) -> 2^1(3(0(4(x1))))
   3^1(5(4(4(4(5(2(1(3(4(3(5(x1)))))))))))) -> 3^1(0(4(x1)))
   3^1(5(4(4(4(5(2(1(3(4(3(5(x1)))))))))))) -> 0^1(4(x1))
   3^1(5(4(4(4(5(2(1(3(4(3(5(x1)))))))))))) -> 4^1(x1)
   1^1(5(1(5(5(4(1(0(0(0(4(5(x1)))))))))))) -> 4^1(3(3(4(1(0(2(2(3(5(2(2(4(0(2(2(x1))))))))))))))))
   1^1(5(1(5(5(4(1(0(0(0(4(5(x1)))))))))))) -> 3^1(3(4(1(0(2(2(3(5(2(2(4(0(2(2(x1)))))))))))))))
   1^1(5(1(5(5(4(1(0(0(0(4(5(x1)))))))))))) -> 3^1(4(1(0(2(2(3(5(2(2(4(0(2(2(x1))))))))))))))
   1^1(5(1(5(5(4(1(0(0(0(4(5(x1)))))))))))) -> 4^1(1(0(2(2(3(5(2(2(4(0(2(2(x1)))))))))))))
   1^1(5(1(5(5(4(1(0(0(0(4(5(x1)))))))))))) -> 1^1(0(2(2(3(5(2(2(4(0(2(2(x1))))))))))))
   1^1(5(1(5(5(4(1(0(0(0(4(5(x1)))))))))))) -> 0^1(2(2(3(5(2(2(4(0(2(2(x1)))))))))))
   1^1(5(1(5(5(4(1(0(0(0(4(5(x1)))))))))))) -> 2^1(2(3(5(2(2(4(0(2(2(x1))))))))))
   1^1(5(1(5(5(4(1(0(0(0(4(5(x1)))))))))))) -> 2^1(3(5(2(2(4(0(2(2(x1)))))))))
   1^1(5(1(5(5(4(1(0(0(0(4(5(x1)))))))))))) -> 3^1(5(2(2(4(0(2(2(x1))))))))
   1^1(5(1(5(5(4(1(0(0(0(4(5(x1)))))))))))) -> 5^1(2(2(4(0(2(2(x1)))))))
   1^1(5(1(5(5(4(1(0(0(0(4(5(x1)))))))))))) -> 2^1(2(4(0(2(2(x1))))))
   1^1(5(1(5(5(4(1(0(0(0(4(5(x1)))))))))))) -> 2^1(4(0(2(2(x1)))))
   1^1(5(1(5(5(4(1(0(0(0(4(5(x1)))))))))))) -> 4^1(0(2(2(x1))))
   1^1(5(1(5(5(4(1(0(0(0(4(5(x1)))))))))))) -> 0^1(2(2(x1)))
   1^1(5(1(5(5(4(1(0(0(0(4(5(x1)))))))))))) -> 2^1(2(x1))
   1^1(5(1(5(5(4(1(0(0(0(4(5(x1)))))))))))) -> 2^1(x1)
   1^1(2(1(1(1(5(5(5(4(1(4(5(x1)))))))))))) -> 2^1(0(2(1(2(0(2(1(5(2(2(2(0(5(3(3(2(4(x1))))))))))))))))))
   1^1(2(1(1(1(5(5(5(4(1(4(5(x1)))))))))))) -> 0^1(2(1(2(0(2(1(5(2(2(2(0(5(3(3(2(4(x1)))))))))))))))))
   1^1(2(1(1(1(5(5(5(4(1(4(5(x1)))))))))))) -> 2^1(1(2(0(2(1(5(2(2(2(0(5(3(3(2(4(x1))))))))))))))))
   1^1(2(1(1(1(5(5(5(4(1(4(5(x1)))))))))))) -> 1^1(2(0(2(1(5(2(2(2(0(5(3(3(2(4(x1)))))))))))))))
   1^1(2(1(1(1(5(5(5(4(1(4(5(x1)))))))))))) -> 2^1(0(2(1(5(2(2(2(0(5(3(3(2(4(x1))))))))))))))
   1^1(2(1(1(1(5(5(5(4(1(4(5(x1)))))))))))) -> 0^1(2(1(5(2(2(2(0(5(3(3(2(4(x1)))))))))))))
   1^1(2(1(1(1(5(5(5(4(1(4(5(x1)))))))))))) -> 2^1(1(5(2(2(2(0(5(3(3(2(4(x1))))))))))))
   1^1(2(1(1(1(5(5(5(4(1(4(5(x1)))))))))))) -> 1^1(5(2(2(2(0(5(3(3(2(4(x1)))))))))))
   1^1(2(1(1(1(5(5(5(4(1(4(5(x1)))))))))))) -> 5^1(2(2(2(0(5(3(3(2(4(x1))))))))))
   1^1(2(1(1(1(5(5(5(4(1(4(5(x1)))))))))))) -> 2^1(2(2(0(5(3(3(2(4(x1)))))))))
   1^1(2(1(1(1(5(5(5(4(1(4(5(x1)))))))))))) -> 2^1(2(0(5(3(3(2(4(x1))))))))
   1^1(2(1(1(1(5(5(5(4(1(4(5(x1)))))))))))) -> 2^1(0(5(3(3(2(4(x1)))))))
   1^1(2(1(1(1(5(5(5(4(1(4(5(x1)))))))))))) -> 0^1(5(3(3(2(4(x1))))))
   1^1(2(1(1(1(5(5(5(4(1(4(5(x1)))))))))))) -> 5^1(3(3(2(4(x1)))))
   1^1(2(1(1(1(5(5(5(4(1(4(5(x1)))))))))))) -> 3^1(3(2(4(x1))))
   1^1(2(1(1(1(5(5(5(4(1(4(5(x1)))))))))))) -> 3^1(2(4(x1)))
   1^1(2(1(1(1(5(5(5(4(1(4(5(x1)))))))))))) -> 2^1(4(x1))
   1^1(2(1(1(1(5(5(5(4(1(4(5(x1)))))))))))) -> 4^1(x1)
   0^1(0(2(5(4(3(0(1(5(1(4(5(x1)))))))))))) -> 0^1(1(0(4(2(5(2(2(0(3(0(2(2(2(2(1(2(0(x1))))))))))))))))))
   0^1(0(2(5(4(3(0(1(5(1(4(5(x1)))))))))))) -> 1^1(0(4(2(5(2(2(0(3(0(2(2(2(2(1(2(0(x1)))))))))))))))))
   0^1(0(2(5(4(3(0(1(5(1(4(5(x1)))))))))))) -> 0^1(4(2(5(2(2(0(3(0(2(2(2(2(1(2(0(x1))))))))))))))))
   0^1(0(2(5(4(3(0(1(5(1(4(5(x1)))))))))))) -> 4^1(2(5(2(2(0(3(0(2(2(2(2(1(2(0(x1)))))))))))))))
   0^1(0(2(5(4(3(0(1(5(1(4(5(x1)))))))))))) -> 2^1(5(2(2(0(3(0(2(2(2(2(1(2(0(x1))))))))))))))
   0^1(0(2(5(4(3(0(1(5(1(4(5(x1)))))))))))) -> 5^1(2(2(0(3(0(2(2(2(2(1(2(0(x1)))))))))))))
   0^1(0(2(5(4(3(0(1(5(1(4(5(x1)))))))))))) -> 2^1(2(0(3(0(2(2(2(2(1(2(0(x1))))))))))))
   0^1(0(2(5(4(3(0(1(5(1(4(5(x1)))))))))))) -> 2^1(0(3(0(2(2(2(2(1(2(0(x1)))))))))))
   0^1(0(2(5(4(3(0(1(5(1(4(5(x1)))))))))))) -> 0^1(3(0(2(2(2(2(1(2(0(x1))))))))))
   0^1(0(2(5(4(3(0(1(5(1(4(5(x1)))))))))))) -> 3^1(0(2(2(2(2(1(2(0(x1)))))))))
   0^1(0(2(5(4(3(0(1(5(1(4(5(x1)))))))))))) -> 0^1(2(2(2(2(1(2(0(x1))))))))
   0^1(0(2(5(4(3(0(1(5(1(4(5(x1)))))))))))) -> 2^1(2(2(2(1(2(0(x1)))))))
   0^1(0(2(5(4(3(0(1(5(1(4(5(x1)))))))))))) -> 2^1(2(2(1(2(0(x1))))))
   0^1(0(2(5(4(3(0(1(5(1(4(5(x1)))))))))))) -> 2^1(2(1(2(0(x1)))))
   0^1(0(2(5(4(3(0(1(5(1(4(5(x1)))))))))))) -> 2^1(1(2(0(x1))))
   0^1(0(2(5(4(3(0(1(5(1(4(5(x1)))))))))))) -> 1^1(2(0(x1)))
   0^1(0(2(5(4(3(0(1(5(1(4(5(x1)))))))))))) -> 2^1(0(x1))
   0^1(0(2(5(4(3(0(1(5(1(4(5(x1)))))))))))) -> 0^1(x1)
   5^1(4(0(5(0(0(4(4(1(3(4(5(x1)))))))))))) -> 3^1(3(2(2(0(3(2(5(4(3(4(1(5(2(2(x1)))))))))))))))
   5^1(4(0(5(0(0(4(4(1(3(4(5(x1)))))))))))) -> 3^1(2(2(0(3(2(5(4(3(4(1(5(2(2(x1))))))))))))))
   5^1(4(0(5(0(0(4(4(1(3(4(5(x1)))))))))))) -> 2^1(2(0(3(2(5(4(3(4(1(5(2(2(x1)))))))))))))
   5^1(4(0(5(0(0(4(4(1(3(4(5(x1)))))))))))) -> 2^1(0(3(2(5(4(3(4(1(5(2(2(x1))))))))))))
   5^1(4(0(5(0(0(4(4(1(3(4(5(x1)))))))))))) -> 0^1(3(2(5(4(3(4(1(5(2(2(x1)))))))))))
   5^1(4(0(5(0(0(4(4(1(3(4(5(x1)))))))))))) -> 3^1(2(5(4(3(4(1(5(2(2(x1))))))))))
   5^1(4(0(5(0(0(4(4(1(3(4(5(x1)))))))))))) -> 2^1(5(4(3(4(1(5(2(2(x1)))))))))
   5^1(4(0(5(0(0(4(4(1(3(4(5(x1)))))))))))) -> 5^1(4(3(4(1(5(2(2(x1))))))))
   5^1(4(0(5(0(0(4(4(1(3(4(5(x1)))))))))))) -> 4^1(3(4(1(5(2(2(x1)))))))
   5^1(4(0(5(0(0(4(4(1(3(4(5(x1)))))))))))) -> 3^1(4(1(5(2(2(x1))))))
   5^1(4(0(5(0(0(4(4(1(3(4(5(x1)))))))))))) -> 4^1(1(5(2(2(x1)))))
   5^1(4(0(5(0(0(4(4(1(3(4(5(x1)))))))))))) -> 1^1(5(2(2(x1))))
   5^1(4(0(5(0(0(4(4(1(3(4(5(x1)))))))))))) -> 5^1(2(2(x1)))
   5^1(4(0(5(0(0(4(4(1(3(4(5(x1)))))))))))) -> 2^1(2(x1))
   5^1(4(0(5(0(0(4(4(1(3(4(5(x1)))))))))))) -> 2^1(x1)
   1^1(4(4(1(5(2(2(2(0(5(4(5(x1)))))))))))) -> 0^1(5(2(2(2(2(2(2(2(0(1(4(2(4(4(x1)))))))))))))))
   1^1(4(4(1(5(2(2(2(0(5(4(5(x1)))))))))))) -> 5^1(2(2(2(2(2(2(2(0(1(4(2(4(4(x1))))))))))))))
   1^1(4(4(1(5(2(2(2(0(5(4(5(x1)))))))))))) -> 2^1(2(2(2(2(2(2(0(1(4(2(4(4(x1)))))))))))))
   1^1(4(4(1(5(2(2(2(0(5(4(5(x1)))))))))))) -> 2^1(2(2(2(2(2(0(1(4(2(4(4(x1))))))))))))
   1^1(4(4(1(5(2(2(2(0(5(4(5(x1)))))))))))) -> 2^1(2(2(2(2(0(1(4(2(4(4(x1)))))))))))
   1^1(4(4(1(5(2(2(2(0(5(4(5(x1)))))))))))) -> 2^1(2(2(2(0(1(4(2(4(4(x1))))))))))
   1^1(4(4(1(5(2(2(2(0(5(4(5(x1)))))))))))) -> 2^1(2(2(0(1(4(2(4(4(x1)))))))))
   1^1(4(4(1(5(2(2(2(0(5(4(5(x1)))))))))))) -> 2^1(2(0(1(4(2(4(4(x1))))))))
   1^1(4(4(1(5(2(2(2(0(5(4(5(x1)))))))))))) -> 2^1(0(1(4(2(4(4(x1)))))))
   1^1(4(4(1(5(2(2(2(0(5(4(5(x1)))))))))))) -> 0^1(1(4(2(4(4(x1))))))
   1^1(4(4(1(5(2(2(2(0(5(4(5(x1)))))))))))) -> 1^1(4(2(4(4(x1)))))
   1^1(4(4(1(5(2(2(2(0(5(4(5(x1)))))))))))) -> 4^1(2(4(4(x1))))
   1^1(4(4(1(5(2(2(2(0(5(4(5(x1)))))))))))) -> 2^1(4(4(x1)))
   1^1(4(4(1(5(2(2(2(0(5(4(5(x1)))))))))))) -> 4^1(4(x1))
   1^1(4(4(1(5(2(2(2(0(5(4(5(x1)))))))))))) -> 4^1(x1)
   3^1(4(4(1(5(0(3(0(0(0(5(5(x1)))))))))))) -> 3^1(4(0(1(5(1(2(1(1(2(2(2(4(2(2(3(2(4(x1))))))))))))))))))
   3^1(4(4(1(5(0(3(0(0(0(5(5(x1)))))))))))) -> 4^1(0(1(5(1(2(1(1(2(2(2(4(2(2(3(2(4(x1)))))))))))))))))
   3^1(4(4(1(5(0(3(0(0(0(5(5(x1)))))))))))) -> 0^1(1(5(1(2(1(1(2(2(2(4(2(2(3(2(4(x1))))))))))))))))
   3^1(4(4(1(5(0(3(0(0(0(5(5(x1)))))))))))) -> 1^1(5(1(2(1(1(2(2(2(4(2(2(3(2(4(x1)))))))))))))))
   3^1(4(4(1(5(0(3(0(0(0(5(5(x1)))))))))))) -> 5^1(1(2(1(1(2(2(2(4(2(2(3(2(4(x1))))))))))))))
   3^1(4(4(1(5(0(3(0(0(0(5(5(x1)))))))))))) -> 1^1(2(1(1(2(2(2(4(2(2(3(2(4(x1)))))))))))))
   3^1(4(4(1(5(0(3(0(0(0(5(5(x1)))))))))))) -> 2^1(1(1(2(2(2(4(2(2(3(2(4(x1))))))))))))
   3^1(4(4(1(5(0(3(0(0(0(5(5(x1)))))))))))) -> 1^1(1(2(2(2(4(2(2(3(2(4(x1)))))))))))
   3^1(4(4(1(5(0(3(0(0(0(5(5(x1)))))))))))) -> 1^1(2(2(2(4(2(2(3(2(4(x1))))))))))
   3^1(4(4(1(5(0(3(0(0(0(5(5(x1)))))))))))) -> 2^1(2(2(4(2(2(3(2(4(x1)))))))))
   3^1(4(4(1(5(0(3(0(0(0(5(5(x1)))))))))))) -> 2^1(2(4(2(2(3(2(4(x1))))))))
   3^1(4(4(1(5(0(3(0(0(0(5(5(x1)))))))))))) -> 2^1(4(2(2(3(2(4(x1)))))))
   3^1(4(4(1(5(0(3(0(0(0(5(5(x1)))))))))))) -> 4^1(2(2(3(2(4(x1))))))
   3^1(4(4(1(5(0(3(0(0(0(5(5(x1)))))))))))) -> 2^1(2(3(2(4(x1)))))
   3^1(4(4(1(5(0(3(0(0(0(5(5(x1)))))))))))) -> 2^1(3(2(4(x1))))
   3^1(4(4(1(5(0(3(0(0(0(5(5(x1)))))))))))) -> 3^1(2(4(x1)))
   3^1(4(4(1(5(0(3(0(0(0(5(5(x1)))))))))))) -> 2^1(4(x1))
   3^1(4(4(1(5(0(3(0(0(0(5(5(x1)))))))))))) -> 4^1(x1)
   3^1(3(5(3(4(4(5(4(1(0(5(5(x1)))))))))))) -> 2^1(3(0(2(1(2(1(5(2(1(2(4(1(1(5(x1)))))))))))))))
   3^1(3(5(3(4(4(5(4(1(0(5(5(x1)))))))))))) -> 3^1(0(2(1(2(1(5(2(1(2(4(1(1(5(x1))))))))))))))
   3^1(3(5(3(4(4(5(4(1(0(5(5(x1)))))))))))) -> 0^1(2(1(2(1(5(2(1(2(4(1(1(5(x1)))))))))))))
   3^1(3(5(3(4(4(5(4(1(0(5(5(x1)))))))))))) -> 2^1(1(2(1(5(2(1(2(4(1(1(5(x1))))))))))))
   3^1(3(5(3(4(4(5(4(1(0(5(5(x1)))))))))))) -> 1^1(2(1(5(2(1(2(4(1(1(5(x1)))))))))))
   3^1(3(5(3(4(4(5(4(1(0(5(5(x1)))))))))))) -> 2^1(1(5(2(1(2(4(1(1(5(x1))))))))))
   3^1(3(5(3(4(4(5(4(1(0(5(5(x1)))))))))))) -> 1^1(5(2(1(2(4(1(1(5(x1)))))))))
   3^1(3(5(3(4(4(5(4(1(0(5(5(x1)))))))))))) -> 5^1(2(1(2(4(1(1(5(x1))))))))
   3^1(3(5(3(4(4(5(4(1(0(5(5(x1)))))))))))) -> 2^1(1(2(4(1(1(5(x1)))))))
   3^1(3(5(3(4(4(5(4(1(0(5(5(x1)))))))))))) -> 1^1(2(4(1(1(5(x1))))))
   3^1(3(5(3(4(4(5(4(1(0(5(5(x1)))))))))))) -> 2^1(4(1(1(5(x1)))))
   3^1(3(5(3(4(4(5(4(1(0(5(5(x1)))))))))))) -> 4^1(1(1(5(x1))))
   3^1(3(5(3(4(4(5(4(1(0(5(5(x1)))))))))))) -> 1^1(1(5(x1)))
   3^1(3(5(3(4(4(5(4(1(0(5(5(x1)))))))))))) -> 1^1(5(x1))
   0^1(4(5(2(0(0(1(0(0(3(5(5(x1)))))))))))) -> 5^1(2(5(2(2(5(2(5(2(1(4(1(3(3(5(x1)))))))))))))))
   0^1(4(5(2(0(0(1(0(0(3(5(5(x1)))))))))))) -> 2^1(5(2(2(5(2(5(2(1(4(1(3(3(5(x1))))))))))))))
   0^1(4(5(2(0(0(1(0(0(3(5(5(x1)))))))))))) -> 5^1(2(2(5(2(5(2(1(4(1(3(3(5(x1)))))))))))))
   0^1(4(5(2(0(0(1(0(0(3(5(5(x1)))))))))))) -> 2^1(2(5(2(5(2(1(4(1(3(3(5(x1))))))))))))
   0^1(4(5(2(0(0(1(0(0(3(5(5(x1)))))))))))) -> 2^1(5(2(5(2(1(4(1(3(3(5(x1)))))))))))
   0^1(4(5(2(0(0(1(0(0(3(5(5(x1)))))))))))) -> 5^1(2(5(2(1(4(1(3(3(5(x1))))))))))
   0^1(4(5(2(0(0(1(0(0(3(5(5(x1)))))))))))) -> 2^1(5(2(1(4(1(3(3(5(x1)))))))))
   0^1(4(5(2(0(0(1(0(0(3(5(5(x1)))))))))))) -> 5^1(2(1(4(1(3(3(5(x1))))))))
   0^1(4(5(2(0(0(1(0(0(3(5(5(x1)))))))))))) -> 2^1(1(4(1(3(3(5(x1)))))))
   0^1(4(5(2(0(0(1(0(0(3(5(5(x1)))))))))))) -> 1^1(4(1(3(3(5(x1))))))
   0^1(4(5(2(0(0(1(0(0(3(5(5(x1)))))))))))) -> 4^1(1(3(3(5(x1)))))
   0^1(4(5(2(0(0(1(0(0(3(5(5(x1)))))))))))) -> 1^1(3(3(5(x1))))
   0^1(4(5(2(0(0(1(0(0(3(5(5(x1)))))))))))) -> 3^1(3(5(x1)))
   0^1(4(5(2(0(0(1(0(0(3(5(5(x1)))))))))))) -> 3^1(5(x1))
   3^1(5(5(1(5(1(4(0(0(4(5(5(x1)))))))))))) -> 3^1(4(5(1(3(3(2(1(2(3(3(5(5(4(2(1(x1))))))))))))))))
   3^1(5(5(1(5(1(4(0(0(4(5(5(x1)))))))))))) -> 4^1(5(1(3(3(2(1(2(3(3(5(5(4(2(1(x1)))))))))))))))
   3^1(5(5(1(5(1(4(0(0(4(5(5(x1)))))))))))) -> 5^1(1(3(3(2(1(2(3(3(5(5(4(2(1(x1))))))))))))))
   3^1(5(5(1(5(1(4(0(0(4(5(5(x1)))))))))))) -> 1^1(3(3(2(1(2(3(3(5(5(4(2(1(x1)))))))))))))
   3^1(5(5(1(5(1(4(0(0(4(5(5(x1)))))))))))) -> 3^1(3(2(1(2(3(3(5(5(4(2(1(x1))))))))))))
   3^1(5(5(1(5(1(4(0(0(4(5(5(x1)))))))))))) -> 3^1(2(1(2(3(3(5(5(4(2(1(x1)))))))))))
   3^1(5(5(1(5(1(4(0(0(4(5(5(x1)))))))))))) -> 2^1(1(2(3(3(5(5(4(2(1(x1))))))))))
   3^1(5(5(1(5(1(4(0(0(4(5(5(x1)))))))))))) -> 1^1(2(3(3(5(5(4(2(1(x1)))))))))
   3^1(5(5(1(5(1(4(0(0(4(5(5(x1)))))))))))) -> 2^1(3(3(5(5(4(2(1(x1))))))))
   3^1(5(5(1(5(1(4(0(0(4(5(5(x1)))))))))))) -> 3^1(3(5(5(4(2(1(x1)))))))
   3^1(5(5(1(5(1(4(0(0(4(5(5(x1)))))))))))) -> 3^1(5(5(4(2(1(x1))))))
   3^1(5(5(1(5(1(4(0(0(4(5(5(x1)))))))))))) -> 5^1(5(4(2(1(x1)))))
   3^1(5(5(1(5(1(4(0(0(4(5(5(x1)))))))))))) -> 5^1(4(2(1(x1))))
   3^1(5(5(1(5(1(4(0(0(4(5(5(x1)))))))))))) -> 4^1(2(1(x1)))
   3^1(5(5(1(5(1(4(0(0(4(5(5(x1)))))))))))) -> 2^1(1(x1))
   3^1(5(5(1(5(1(4(0(0(4(5(5(x1)))))))))))) -> 1^1(x1)

The TRS R consists of the following rules:

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

Q is empty.
We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(5) QDPOrderProof (EQUIVALENT)
We use the reduction pair processor [LPAR04,JAR06].


The following pairs can be oriented strictly and are deleted.

   5^1(1(5(1(4(3(0(1(3(0(0(0(x1)))))))))))) -> 1^1(5(0(2(1(5(2(4(5(4(4(2(2(2(1(2(2(x1)))))))))))))))))
   5^1(1(5(1(4(3(0(1(3(0(0(0(x1)))))))))))) -> 5^1(0(2(1(5(2(4(5(4(4(2(2(2(1(2(2(x1))))))))))))))))
   5^1(1(5(1(4(3(0(1(3(0(0(0(x1)))))))))))) -> 0^1(2(1(5(2(4(5(4(4(2(2(2(1(2(2(x1)))))))))))))))
   5^1(1(5(1(4(3(0(1(3(0(0(0(x1)))))))))))) -> 2^1(1(5(2(4(5(4(4(2(2(2(1(2(2(x1))))))))))))))
   5^1(1(5(1(4(3(0(1(3(0(0(0(x1)))))))))))) -> 1^1(5(2(4(5(4(4(2(2(2(1(2(2(x1)))))))))))))
   5^1(1(5(1(4(3(0(1(3(0(0(0(x1)))))))))))) -> 5^1(2(4(5(4(4(2(2(2(1(2(2(x1))))))))))))
   5^1(1(5(1(4(3(0(1(3(0(0(0(x1)))))))))))) -> 2^1(4(5(4(4(2(2(2(1(2(2(x1)))))))))))
   5^1(1(5(1(4(3(0(1(3(0(0(0(x1)))))))))))) -> 4^1(5(4(4(2(2(2(1(2(2(x1))))))))))
   5^1(1(5(1(4(3(0(1(3(0(0(0(x1)))))))))))) -> 5^1(4(4(2(2(2(1(2(2(x1)))))))))
   5^1(1(5(1(4(3(0(1(3(0(0(0(x1)))))))))))) -> 4^1(4(2(2(2(1(2(2(x1))))))))
   5^1(1(5(1(4(3(0(1(3(0(0(0(x1)))))))))))) -> 4^1(2(2(2(1(2(2(x1)))))))
   5^1(1(5(1(4(3(0(1(3(0(0(0(x1)))))))))))) -> 2^1(2(2(1(2(2(x1))))))
   5^1(1(5(1(4(3(0(1(3(0(0(0(x1)))))))))))) -> 2^1(2(1(2(2(x1)))))
   5^1(1(5(1(4(3(0(1(3(0(0(0(x1)))))))))))) -> 2^1(1(2(2(x1))))
   5^1(1(5(1(4(3(0(1(3(0(0(0(x1)))))))))))) -> 1^1(2(2(x1)))
   5^1(1(5(1(4(3(0(1(3(0(0(0(x1)))))))))))) -> 2^1(2(x1))
   5^1(1(5(1(4(3(0(1(3(0(0(0(x1)))))))))))) -> 2^1(x1)
   5^1(1(0(3(1(1(5(3(3(0(0(0(x1)))))))))))) -> 1^1(1(2(1(2(2(5(5(2(2(5(2(0(2(4(3(1(x1)))))))))))))))))
   5^1(1(0(3(1(1(5(3(3(0(0(0(x1)))))))))))) -> 1^1(2(1(2(2(5(5(2(2(5(2(0(2(4(3(1(x1))))))))))))))))
   5^1(1(0(3(1(1(5(3(3(0(0(0(x1)))))))))))) -> 2^1(1(2(2(5(5(2(2(5(2(0(2(4(3(1(x1)))))))))))))))
   5^1(1(0(3(1(1(5(3(3(0(0(0(x1)))))))))))) -> 1^1(2(2(5(5(2(2(5(2(0(2(4(3(1(x1))))))))))))))
   5^1(1(0(3(1(1(5(3(3(0(0(0(x1)))))))))))) -> 2^1(2(5(5(2(2(5(2(0(2(4(3(1(x1)))))))))))))
   5^1(1(0(3(1(1(5(3(3(0(0(0(x1)))))))))))) -> 2^1(5(5(2(2(5(2(0(2(4(3(1(x1))))))))))))
   5^1(1(0(3(1(1(5(3(3(0(0(0(x1)))))))))))) -> 5^1(5(2(2(5(2(0(2(4(3(1(x1)))))))))))
   5^1(1(0(3(1(1(5(3(3(0(0(0(x1)))))))))))) -> 5^1(2(2(5(2(0(2(4(3(1(x1))))))))))
   5^1(1(0(3(1(1(5(3(3(0(0(0(x1)))))))))))) -> 2^1(2(5(2(0(2(4(3(1(x1)))))))))
   5^1(1(0(3(1(1(5(3(3(0(0(0(x1)))))))))))) -> 2^1(5(2(0(2(4(3(1(x1))))))))
   5^1(1(0(3(1(1(5(3(3(0(0(0(x1)))))))))))) -> 5^1(2(0(2(4(3(1(x1)))))))
   5^1(1(0(3(1(1(5(3(3(0(0(0(x1)))))))))))) -> 2^1(0(2(4(3(1(x1))))))
   5^1(1(0(3(1(1(5(3(3(0(0(0(x1)))))))))))) -> 0^1(2(4(3(1(x1)))))
   5^1(1(0(3(1(1(5(3(3(0(0(0(x1)))))))))))) -> 2^1(4(3(1(x1))))
   5^1(1(0(3(1(1(5(3(3(0(0(0(x1)))))))))))) -> 4^1(3(1(x1)))
   5^1(1(0(3(1(1(5(3(3(0(0(0(x1)))))))))))) -> 3^1(1(x1))
   5^1(1(0(3(1(1(5(3(3(0(0(0(x1)))))))))))) -> 1^1(x1)
   0^1(3(4(0(4(4(4(1(1(4(0(0(x1)))))))))))) -> 4^1(2(2(2(3(3(2(3(1(5(1(5(2(0(0(x1)))))))))))))))
   0^1(3(4(0(4(4(4(1(1(4(0(0(x1)))))))))))) -> 2^1(2(2(3(3(2(3(1(5(1(5(2(0(0(x1))))))))))))))
   0^1(3(4(0(4(4(4(1(1(4(0(0(x1)))))))))))) -> 2^1(2(3(3(2(3(1(5(1(5(2(0(0(x1)))))))))))))
   0^1(3(4(0(4(4(4(1(1(4(0(0(x1)))))))))))) -> 2^1(3(3(2(3(1(5(1(5(2(0(0(x1))))))))))))
   0^1(3(4(0(4(4(4(1(1(4(0(0(x1)))))))))))) -> 3^1(3(2(3(1(5(1(5(2(0(0(x1)))))))))))
   0^1(3(4(0(4(4(4(1(1(4(0(0(x1)))))))))))) -> 3^1(2(3(1(5(1(5(2(0(0(x1))))))))))
   0^1(3(4(0(4(4(4(1(1(4(0(0(x1)))))))))))) -> 2^1(3(1(5(1(5(2(0(0(x1)))))))))
   0^1(3(4(0(4(4(4(1(1(4(0(0(x1)))))))))))) -> 3^1(1(5(1(5(2(0(0(x1))))))))
   0^1(3(4(0(4(4(4(1(1(4(0(0(x1)))))))))))) -> 1^1(5(1(5(2(0(0(x1)))))))
   0^1(3(4(0(4(4(4(1(1(4(0(0(x1)))))))))))) -> 5^1(1(5(2(0(0(x1))))))
   0^1(3(4(0(4(4(4(1(1(4(0(0(x1)))))))))))) -> 1^1(5(2(0(0(x1)))))
   0^1(3(4(0(4(4(4(1(1(4(0(0(x1)))))))))))) -> 5^1(2(0(0(x1))))
   0^1(3(4(0(4(4(4(1(1(4(0(0(x1)))))))))))) -> 2^1(0(0(x1)))
   4^1(1(0(3(2(1(5(4(5(5(0(0(x1)))))))))))) -> 3^1(5(1(3(5(2(0(2(0(2(2(1(2(2(1(x1)))))))))))))))
   4^1(1(0(3(2(1(5(4(5(5(0(0(x1)))))))))))) -> 5^1(1(3(5(2(0(2(0(2(2(1(2(2(1(x1))))))))))))))
   4^1(1(0(3(2(1(5(4(5(5(0(0(x1)))))))))))) -> 1^1(3(5(2(0(2(0(2(2(1(2(2(1(x1)))))))))))))
   4^1(1(0(3(2(1(5(4(5(5(0(0(x1)))))))))))) -> 3^1(5(2(0(2(0(2(2(1(2(2(1(x1))))))))))))
   4^1(1(0(3(2(1(5(4(5(5(0(0(x1)))))))))))) -> 5^1(2(0(2(0(2(2(1(2(2(1(x1)))))))))))
   4^1(1(0(3(2(1(5(4(5(5(0(0(x1)))))))))))) -> 2^1(0(2(0(2(2(1(2(2(1(x1))))))))))
   4^1(1(0(3(2(1(5(4(5(5(0(0(x1)))))))))))) -> 0^1(2(0(2(2(1(2(2(1(x1)))))))))
   4^1(1(0(3(2(1(5(4(5(5(0(0(x1)))))))))))) -> 2^1(0(2(2(1(2(2(1(x1))))))))
   4^1(1(0(3(2(1(5(4(5(5(0(0(x1)))))))))))) -> 0^1(2(2(1(2(2(1(x1)))))))
   4^1(1(0(3(2(1(5(4(5(5(0(0(x1)))))))))))) -> 2^1(2(1(2(2(1(x1))))))
   4^1(1(0(3(2(1(5(4(5(5(0(0(x1)))))))))))) -> 2^1(1(2(2(1(x1)))))
   4^1(1(0(3(2(1(5(4(5(5(0(0(x1)))))))))))) -> 1^1(2(2(1(x1))))
   4^1(1(0(3(2(1(5(4(5(5(0(0(x1)))))))))))) -> 2^1(2(1(x1)))
   4^1(1(0(3(2(1(5(4(5(5(0(0(x1)))))))))))) -> 2^1(1(x1))
   4^1(1(0(3(2(1(5(4(5(5(0(0(x1)))))))))))) -> 1^1(x1)
   5^1(1(1(0(3(5(4(1(1(0(1(0(x1)))))))))))) -> 2^1(2(3(1(4(3(4(4(3(2(3(1(2(3(0(x1)))))))))))))))
   5^1(1(1(0(3(5(4(1(1(0(1(0(x1)))))))))))) -> 2^1(3(1(4(3(4(4(3(2(3(1(2(3(0(x1))))))))))))))
   5^1(1(1(0(3(5(4(1(1(0(1(0(x1)))))))))))) -> 3^1(1(4(3(4(4(3(2(3(1(2(3(0(x1)))))))))))))
   5^1(1(1(0(3(5(4(1(1(0(1(0(x1)))))))))))) -> 1^1(4(3(4(4(3(2(3(1(2(3(0(x1))))))))))))
   5^1(1(1(0(3(5(4(1(1(0(1(0(x1)))))))))))) -> 4^1(3(4(4(3(2(3(1(2(3(0(x1)))))))))))
   5^1(1(1(0(3(5(4(1(1(0(1(0(x1)))))))))))) -> 3^1(4(4(3(2(3(1(2(3(0(x1))))))))))
   5^1(1(1(0(3(5(4(1(1(0(1(0(x1)))))))))))) -> 4^1(4(3(2(3(1(2(3(0(x1)))))))))
   5^1(1(1(0(3(5(4(1(1(0(1(0(x1)))))))))))) -> 4^1(3(2(3(1(2(3(0(x1))))))))
   5^1(1(1(0(3(5(4(1(1(0(1(0(x1)))))))))))) -> 3^1(2(3(1(2(3(0(x1)))))))
   5^1(1(1(0(3(5(4(1(1(0(1(0(x1)))))))))))) -> 2^1(3(1(2(3(0(x1))))))
   5^1(1(1(0(3(5(4(1(1(0(1(0(x1)))))))))))) -> 3^1(1(2(3(0(x1)))))
   5^1(1(1(0(3(5(4(1(1(0(1(0(x1)))))))))))) -> 1^1(2(3(0(x1))))
   5^1(1(1(0(3(5(4(1(1(0(1(0(x1)))))))))))) -> 2^1(3(0(x1)))
   5^1(1(1(0(3(5(4(1(1(0(1(0(x1)))))))))))) -> 3^1(0(x1))
   3^1(3(5(5(0(1(4(5(1(0(1(0(x1)))))))))))) -> 1^1(2(2(5(2(5(2(2(2(2(2(4(4(2(2(3(5(3(x1))))))))))))))))))
   3^1(3(5(5(0(1(4(5(1(0(1(0(x1)))))))))))) -> 2^1(2(5(2(5(2(2(2(2(2(4(4(2(2(3(5(3(x1)))))))))))))))))
   3^1(3(5(5(0(1(4(5(1(0(1(0(x1)))))))))))) -> 2^1(5(2(5(2(2(2(2(2(4(4(2(2(3(5(3(x1))))))))))))))))
   3^1(3(5(5(0(1(4(5(1(0(1(0(x1)))))))))))) -> 5^1(2(5(2(2(2(2(2(4(4(2(2(3(5(3(x1)))))))))))))))
   3^1(3(5(5(0(1(4(5(1(0(1(0(x1)))))))))))) -> 2^1(5(2(2(2(2(2(4(4(2(2(3(5(3(x1))))))))))))))
   3^1(3(5(5(0(1(4(5(1(0(1(0(x1)))))))))))) -> 5^1(2(2(2(2(2(4(4(2(2(3(5(3(x1)))))))))))))
   3^1(3(5(5(0(1(4(5(1(0(1(0(x1)))))))))))) -> 2^1(2(2(2(2(4(4(2(2(3(5(3(x1))))))))))))
   3^1(3(5(5(0(1(4(5(1(0(1(0(x1)))))))))))) -> 2^1(2(2(2(4(4(2(2(3(5(3(x1)))))))))))
   3^1(3(5(5(0(1(4(5(1(0(1(0(x1)))))))))))) -> 2^1(2(2(4(4(2(2(3(5(3(x1))))))))))
   3^1(3(5(5(0(1(4(5(1(0(1(0(x1)))))))))))) -> 2^1(2(4(4(2(2(3(5(3(x1)))))))))
   3^1(3(5(5(0(1(4(5(1(0(1(0(x1)))))))))))) -> 2^1(4(4(2(2(3(5(3(x1))))))))
   3^1(3(5(5(0(1(4(5(1(0(1(0(x1)))))))))))) -> 4^1(4(2(2(3(5(3(x1)))))))
   3^1(3(5(5(0(1(4(5(1(0(1(0(x1)))))))))))) -> 4^1(2(2(3(5(3(x1))))))
   3^1(3(5(5(0(1(4(5(1(0(1(0(x1)))))))))))) -> 2^1(2(3(5(3(x1)))))
   3^1(3(5(5(0(1(4(5(1(0(1(0(x1)))))))))))) -> 2^1(3(5(3(x1))))
   3^1(3(5(5(0(1(4(5(1(0(1(0(x1)))))))))))) -> 3^1(5(3(x1)))
   3^1(3(5(5(0(1(4(5(1(0(1(0(x1)))))))))))) -> 5^1(3(x1))
   3^1(3(5(5(0(1(4(5(1(0(1(0(x1)))))))))))) -> 3^1(x1)
   3^1(0(0(5(1(1(1(4(4(1(1(0(x1)))))))))))) -> 2^1(5(4(2(2(2(4(2(0(2(2(2(1(2(4(5(2(0(x1))))))))))))))))))
   3^1(0(0(5(1(1(1(4(4(1(1(0(x1)))))))))))) -> 5^1(4(2(2(2(4(2(0(2(2(2(1(2(4(5(2(0(x1)))))))))))))))))
   3^1(0(0(5(1(1(1(4(4(1(1(0(x1)))))))))))) -> 4^1(2(2(2(4(2(0(2(2(2(1(2(4(5(2(0(x1))))))))))))))))
   3^1(0(0(5(1(1(1(4(4(1(1(0(x1)))))))))))) -> 2^1(2(2(4(2(0(2(2(2(1(2(4(5(2(0(x1)))))))))))))))
   3^1(0(0(5(1(1(1(4(4(1(1(0(x1)))))))))))) -> 2^1(2(4(2(0(2(2(2(1(2(4(5(2(0(x1))))))))))))))
   3^1(0(0(5(1(1(1(4(4(1(1(0(x1)))))))))))) -> 2^1(4(2(0(2(2(2(1(2(4(5(2(0(x1)))))))))))))
   3^1(0(0(5(1(1(1(4(4(1(1(0(x1)))))))))))) -> 4^1(2(0(2(2(2(1(2(4(5(2(0(x1))))))))))))
   3^1(0(0(5(1(1(1(4(4(1(1(0(x1)))))))))))) -> 2^1(0(2(2(2(1(2(4(5(2(0(x1)))))))))))
   3^1(0(0(5(1(1(1(4(4(1(1(0(x1)))))))))))) -> 0^1(2(2(2(1(2(4(5(2(0(x1))))))))))
   3^1(0(0(5(1(1(1(4(4(1(1(0(x1)))))))))))) -> 2^1(2(2(1(2(4(5(2(0(x1)))))))))
   3^1(0(0(5(1(1(1(4(4(1(1(0(x1)))))))))))) -> 2^1(2(1(2(4(5(2(0(x1))))))))
   3^1(0(0(5(1(1(1(4(4(1(1(0(x1)))))))))))) -> 2^1(1(2(4(5(2(0(x1)))))))
   3^1(0(0(5(1(1(1(4(4(1(1(0(x1)))))))))))) -> 1^1(2(4(5(2(0(x1))))))
   3^1(0(0(5(1(1(1(4(4(1(1(0(x1)))))))))))) -> 2^1(4(5(2(0(x1)))))
   3^1(0(0(5(1(1(1(4(4(1(1(0(x1)))))))))))) -> 4^1(5(2(0(x1))))
   3^1(0(0(5(1(1(1(4(4(1(1(0(x1)))))))))))) -> 5^1(2(0(x1)))
   3^1(0(0(5(1(1(1(4(4(1(1(0(x1)))))))))))) -> 2^1(0(x1))
   1^1(1(1(5(0(0(5(1(3(3(1(0(x1)))))))))))) -> 4^1(1(2(4(0(1(2(2(5(4(2(3(2(3(2(3(2(x1)))))))))))))))))
   1^1(1(1(5(0(0(5(1(3(3(1(0(x1)))))))))))) -> 1^1(2(4(0(1(2(2(5(4(2(3(2(3(2(3(2(x1))))))))))))))))
   1^1(1(1(5(0(0(5(1(3(3(1(0(x1)))))))))))) -> 2^1(4(0(1(2(2(5(4(2(3(2(3(2(3(2(x1)))))))))))))))
   1^1(1(1(5(0(0(5(1(3(3(1(0(x1)))))))))))) -> 4^1(0(1(2(2(5(4(2(3(2(3(2(3(2(x1))))))))))))))
   1^1(1(1(5(0(0(5(1(3(3(1(0(x1)))))))))))) -> 0^1(1(2(2(5(4(2(3(2(3(2(3(2(x1)))))))))))))
   1^1(1(1(5(0(0(5(1(3(3(1(0(x1)))))))))))) -> 1^1(2(2(5(4(2(3(2(3(2(3(2(x1))))))))))))
   1^1(1(1(5(0(0(5(1(3(3(1(0(x1)))))))))))) -> 2^1(2(5(4(2(3(2(3(2(3(2(x1)))))))))))
   1^1(1(1(5(0(0(5(1(3(3(1(0(x1)))))))))))) -> 2^1(5(4(2(3(2(3(2(3(2(x1))))))))))
   1^1(1(1(5(0(0(5(1(3(3(1(0(x1)))))))))))) -> 5^1(4(2(3(2(3(2(3(2(x1)))))))))
   1^1(1(1(5(0(0(5(1(3(3(1(0(x1)))))))))))) -> 4^1(2(3(2(3(2(3(2(x1))))))))
   1^1(1(1(5(0(0(5(1(3(3(1(0(x1)))))))))))) -> 2^1(3(2(3(2(3(2(x1)))))))
   1^1(1(1(5(0(0(5(1(3(3(1(0(x1)))))))))))) -> 3^1(2(3(2(3(2(x1))))))
   1^1(1(1(5(0(0(5(1(3(3(1(0(x1)))))))))))) -> 2^1(3(2(3(2(x1)))))
   1^1(1(1(5(0(0(5(1(3(3(1(0(x1)))))))))))) -> 3^1(2(3(2(x1))))
   1^1(1(1(5(0(0(5(1(3(3(1(0(x1)))))))))))) -> 2^1(3(2(x1)))
   1^1(1(1(5(0(0(5(1(3(3(1(0(x1)))))))))))) -> 3^1(2(x1))
   1^1(1(1(5(0(0(5(1(3(3(1(0(x1)))))))))))) -> 2^1(x1)
   1^1(4(1(0(0(5(1(5(0(4(2(0(x1)))))))))))) -> 1^1(1(0(3(3(2(2(3(2(2(2(2(2(2(1(5(2(1(x1))))))))))))))))))
   1^1(4(1(0(0(5(1(5(0(4(2(0(x1)))))))))))) -> 1^1(0(3(3(2(2(3(2(2(2(2(2(2(1(5(2(1(x1)))))))))))))))))
   1^1(4(1(0(0(5(1(5(0(4(2(0(x1)))))))))))) -> 0^1(3(3(2(2(3(2(2(2(2(2(2(1(5(2(1(x1))))))))))))))))
   1^1(4(1(0(0(5(1(5(0(4(2(0(x1)))))))))))) -> 3^1(3(2(2(3(2(2(2(2(2(2(1(5(2(1(x1)))))))))))))))
   1^1(4(1(0(0(5(1(5(0(4(2(0(x1)))))))))))) -> 3^1(2(2(3(2(2(2(2(2(2(1(5(2(1(x1))))))))))))))
   1^1(4(1(0(0(5(1(5(0(4(2(0(x1)))))))))))) -> 2^1(2(3(2(2(2(2(2(2(1(5(2(1(x1)))))))))))))
   1^1(4(1(0(0(5(1(5(0(4(2(0(x1)))))))))))) -> 2^1(3(2(2(2(2(2(2(1(5(2(1(x1))))))))))))
   1^1(4(1(0(0(5(1(5(0(4(2(0(x1)))))))))))) -> 3^1(2(2(2(2(2(2(1(5(2(1(x1)))))))))))
   1^1(4(1(0(0(5(1(5(0(4(2(0(x1)))))))))))) -> 2^1(2(2(2(2(2(1(5(2(1(x1))))))))))
   1^1(4(1(0(0(5(1(5(0(4(2(0(x1)))))))))))) -> 2^1(2(2(2(2(1(5(2(1(x1)))))))))
   1^1(4(1(0(0(5(1(5(0(4(2(0(x1)))))))))))) -> 2^1(2(2(2(1(5(2(1(x1))))))))
   1^1(4(1(0(0(5(1(5(0(4(2(0(x1)))))))))))) -> 2^1(2(2(1(5(2(1(x1)))))))
   1^1(4(1(0(0(5(1(5(0(4(2(0(x1)))))))))))) -> 2^1(2(1(5(2(1(x1))))))
   1^1(4(1(0(0(5(1(5(0(4(2(0(x1)))))))))))) -> 2^1(1(5(2(1(x1)))))
   1^1(4(1(0(0(5(1(5(0(4(2(0(x1)))))))))))) -> 1^1(5(2(1(x1))))
   1^1(4(1(0(0(5(1(5(0(4(2(0(x1)))))))))))) -> 5^1(2(1(x1)))
   1^1(4(1(0(0(5(1(5(0(4(2(0(x1)))))))))))) -> 2^1(1(x1))
   1^1(4(1(0(0(5(1(5(0(4(2(0(x1)))))))))))) -> 1^1(x1)
   0^1(3(5(3(3(0(4(0(0(1(3(0(x1)))))))))))) -> 2^1(1(4(2(3(2(4(2(2(2(5(5(0(2(4(3(x1))))))))))))))))
   0^1(3(5(3(3(0(4(0(0(1(3(0(x1)))))))))))) -> 1^1(4(2(3(2(4(2(2(2(5(5(0(2(4(3(x1)))))))))))))))
   0^1(3(5(3(3(0(4(0(0(1(3(0(x1)))))))))))) -> 4^1(2(3(2(4(2(2(2(5(5(0(2(4(3(x1))))))))))))))
   0^1(3(5(3(3(0(4(0(0(1(3(0(x1)))))))))))) -> 2^1(3(2(4(2(2(2(5(5(0(2(4(3(x1)))))))))))))
   0^1(3(5(3(3(0(4(0(0(1(3(0(x1)))))))))))) -> 3^1(2(4(2(2(2(5(5(0(2(4(3(x1))))))))))))
   0^1(3(5(3(3(0(4(0(0(1(3(0(x1)))))))))))) -> 2^1(4(2(2(2(5(5(0(2(4(3(x1)))))))))))
   0^1(3(5(3(3(0(4(0(0(1(3(0(x1)))))))))))) -> 4^1(2(2(2(5(5(0(2(4(3(x1))))))))))
   0^1(3(5(3(3(0(4(0(0(1(3(0(x1)))))))))))) -> 2^1(2(2(5(5(0(2(4(3(x1)))))))))
   0^1(3(5(3(3(0(4(0(0(1(3(0(x1)))))))))))) -> 2^1(2(5(5(0(2(4(3(x1))))))))
   0^1(3(5(3(3(0(4(0(0(1(3(0(x1)))))))))))) -> 2^1(5(5(0(2(4(3(x1)))))))
   0^1(3(5(3(3(0(4(0(0(1(3(0(x1)))))))))))) -> 5^1(5(0(2(4(3(x1))))))
   0^1(3(5(3(3(0(4(0(0(1(3(0(x1)))))))))))) -> 5^1(0(2(4(3(x1)))))
   0^1(3(5(3(3(0(4(0(0(1(3(0(x1)))))))))))) -> 0^1(2(4(3(x1))))
   0^1(3(5(3(3(0(4(0(0(1(3(0(x1)))))))))))) -> 2^1(4(3(x1)))
   0^1(3(5(3(3(0(4(0(0(1(3(0(x1)))))))))))) -> 4^1(3(x1))
   0^1(3(5(3(3(0(4(0(0(1(3(0(x1)))))))))))) -> 3^1(x1)
   5^1(4(4(1(5(1(5(5(5(1(3(0(x1)))))))))))) -> 5^1(3(2(4(4(2(1(0(2(3(2(0(5(2(2(0(2(1(x1))))))))))))))))))
   5^1(4(4(1(5(1(5(5(5(1(3(0(x1)))))))))))) -> 3^1(2(4(4(2(1(0(2(3(2(0(5(2(2(0(2(1(x1)))))))))))))))))
   5^1(4(4(1(5(1(5(5(5(1(3(0(x1)))))))))))) -> 2^1(4(4(2(1(0(2(3(2(0(5(2(2(0(2(1(x1))))))))))))))))
   5^1(4(4(1(5(1(5(5(5(1(3(0(x1)))))))))))) -> 4^1(4(2(1(0(2(3(2(0(5(2(2(0(2(1(x1)))))))))))))))
   5^1(4(4(1(5(1(5(5(5(1(3(0(x1)))))))))))) -> 4^1(2(1(0(2(3(2(0(5(2(2(0(2(1(x1))))))))))))))
   5^1(4(4(1(5(1(5(5(5(1(3(0(x1)))))))))))) -> 2^1(1(0(2(3(2(0(5(2(2(0(2(1(x1)))))))))))))
   5^1(4(4(1(5(1(5(5(5(1(3(0(x1)))))))))))) -> 1^1(0(2(3(2(0(5(2(2(0(2(1(x1))))))))))))
   5^1(4(4(1(5(1(5(5(5(1(3(0(x1)))))))))))) -> 0^1(2(3(2(0(5(2(2(0(2(1(x1)))))))))))
   5^1(4(4(1(5(1(5(5(5(1(3(0(x1)))))))))))) -> 2^1(3(2(0(5(2(2(0(2(1(x1))))))))))
   5^1(4(4(1(5(1(5(5(5(1(3(0(x1)))))))))))) -> 3^1(2(0(5(2(2(0(2(1(x1)))))))))
   5^1(4(4(1(5(1(5(5(5(1(3(0(x1)))))))))))) -> 2^1(0(5(2(2(0(2(1(x1))))))))
   5^1(4(4(1(5(1(5(5(5(1(3(0(x1)))))))))))) -> 0^1(5(2(2(0(2(1(x1)))))))
   5^1(4(4(1(5(1(5(5(5(1(3(0(x1)))))))))))) -> 5^1(2(2(0(2(1(x1))))))
   5^1(4(4(1(5(1(5(5(5(1(3(0(x1)))))))))))) -> 2^1(2(0(2(1(x1)))))
   5^1(4(4(1(5(1(5(5(5(1(3(0(x1)))))))))))) -> 2^1(0(2(1(x1))))
   5^1(4(4(1(5(1(5(5(5(1(3(0(x1)))))))))))) -> 0^1(2(1(x1)))
   5^1(4(4(1(5(1(5(5(5(1(3(0(x1)))))))))))) -> 2^1(1(x1))
   5^1(4(4(1(5(1(5(5(5(1(3(0(x1)))))))))))) -> 1^1(x1)
   3^1(0(5(4(5(1(0(0(5(5(3(0(x1)))))))))))) -> 0^1(0(5(5(3(2(4(0(2(3(2(2(2(1(5(1(x1))))))))))))))))
   3^1(0(5(4(5(1(0(0(5(5(3(0(x1)))))))))))) -> 0^1(5(5(3(2(4(0(2(3(2(2(2(1(5(1(x1)))))))))))))))
   3^1(0(5(4(5(1(0(0(5(5(3(0(x1)))))))))))) -> 5^1(5(3(2(4(0(2(3(2(2(2(1(5(1(x1))))))))))))))
   3^1(0(5(4(5(1(0(0(5(5(3(0(x1)))))))))))) -> 5^1(3(2(4(0(2(3(2(2(2(1(5(1(x1)))))))))))))
   3^1(0(5(4(5(1(0(0(5(5(3(0(x1)))))))))))) -> 3^1(2(4(0(2(3(2(2(2(1(5(1(x1))))))))))))
   3^1(0(5(4(5(1(0(0(5(5(3(0(x1)))))))))))) -> 2^1(4(0(2(3(2(2(2(1(5(1(x1)))))))))))
   3^1(0(5(4(5(1(0(0(5(5(3(0(x1)))))))))))) -> 4^1(0(2(3(2(2(2(1(5(1(x1))))))))))
   3^1(0(5(4(5(1(0(0(5(5(3(0(x1)))))))))))) -> 0^1(2(3(2(2(2(1(5(1(x1)))))))))
   3^1(0(5(4(5(1(0(0(5(5(3(0(x1)))))))))))) -> 2^1(3(2(2(2(1(5(1(x1))))))))
   3^1(0(5(4(5(1(0(0(5(5(3(0(x1)))))))))))) -> 3^1(2(2(2(1(5(1(x1)))))))
   3^1(0(5(4(5(1(0(0(5(5(3(0(x1)))))))))))) -> 2^1(2(2(1(5(1(x1))))))
   3^1(0(5(4(5(1(0(0(5(5(3(0(x1)))))))))))) -> 2^1(2(1(5(1(x1)))))
   3^1(0(5(4(5(1(0(0(5(5(3(0(x1)))))))))))) -> 2^1(1(5(1(x1))))
   3^1(0(5(4(5(1(0(0(5(5(3(0(x1)))))))))))) -> 1^1(5(1(x1)))
   3^1(0(5(4(5(1(0(0(5(5(3(0(x1)))))))))))) -> 5^1(1(x1))
   3^1(0(5(4(5(1(0(0(5(5(3(0(x1)))))))))))) -> 1^1(x1)
   1^1(1(5(4(3(3(1(4(0(0(4(0(x1)))))))))))) -> 2^1(4(2(1(2(2(2(2(5(3(3(0(1(2(3(0(2(x1)))))))))))))))))
   1^1(1(5(4(3(3(1(4(0(0(4(0(x1)))))))))))) -> 4^1(2(1(2(2(2(2(5(3(3(0(1(2(3(0(2(x1))))))))))))))))
   1^1(1(5(4(3(3(1(4(0(0(4(0(x1)))))))))))) -> 2^1(1(2(2(2(2(5(3(3(0(1(2(3(0(2(x1)))))))))))))))
   1^1(1(5(4(3(3(1(4(0(0(4(0(x1)))))))))))) -> 1^1(2(2(2(2(5(3(3(0(1(2(3(0(2(x1))))))))))))))
   1^1(1(5(4(3(3(1(4(0(0(4(0(x1)))))))))))) -> 2^1(2(2(2(5(3(3(0(1(2(3(0(2(x1)))))))))))))
   1^1(1(5(4(3(3(1(4(0(0(4(0(x1)))))))))))) -> 2^1(2(2(5(3(3(0(1(2(3(0(2(x1))))))))))))
   1^1(1(5(4(3(3(1(4(0(0(4(0(x1)))))))))))) -> 2^1(2(5(3(3(0(1(2(3(0(2(x1)))))))))))
   1^1(1(5(4(3(3(1(4(0(0(4(0(x1)))))))))))) -> 2^1(5(3(3(0(1(2(3(0(2(x1))))))))))
   1^1(1(5(4(3(3(1(4(0(0(4(0(x1)))))))))))) -> 5^1(3(3(0(1(2(3(0(2(x1)))))))))
   1^1(1(5(4(3(3(1(4(0(0(4(0(x1)))))))))))) -> 3^1(3(0(1(2(3(0(2(x1))))))))
   1^1(1(5(4(3(3(1(4(0(0(4(0(x1)))))))))))) -> 3^1(0(1(2(3(0(2(x1)))))))
   1^1(1(5(4(3(3(1(4(0(0(4(0(x1)))))))))))) -> 0^1(1(2(3(0(2(x1))))))
   1^1(1(5(4(3(3(1(4(0(0(4(0(x1)))))))))))) -> 1^1(2(3(0(2(x1)))))
   1^1(1(5(4(3(3(1(4(0(0(4(0(x1)))))))))))) -> 2^1(3(0(2(x1))))
   1^1(1(5(4(3(3(1(4(0(0(4(0(x1)))))))))))) -> 3^1(0(2(x1)))
   1^1(1(5(4(3(3(1(4(0(0(4(0(x1)))))))))))) -> 0^1(2(x1))
   1^1(1(5(4(3(3(1(4(0(0(4(0(x1)))))))))))) -> 2^1(x1)
   5^1(5(5(1(0(0(2(5(0(0(4(0(x1)))))))))))) -> 3^1(2(2(4(0(0(2(4(0(1(2(1(2(4(0(3(x1))))))))))))))))
   5^1(5(5(1(0(0(2(5(0(0(4(0(x1)))))))))))) -> 2^1(2(4(0(0(2(4(0(1(2(1(2(4(0(3(x1)))))))))))))))
   5^1(5(5(1(0(0(2(5(0(0(4(0(x1)))))))))))) -> 2^1(4(0(0(2(4(0(1(2(1(2(4(0(3(x1))))))))))))))
   5^1(5(5(1(0(0(2(5(0(0(4(0(x1)))))))))))) -> 4^1(0(0(2(4(0(1(2(1(2(4(0(3(x1)))))))))))))
   5^1(5(5(1(0(0(2(5(0(0(4(0(x1)))))))))))) -> 0^1(0(2(4(0(1(2(1(2(4(0(3(x1))))))))))))
   5^1(5(5(1(0(0(2(5(0(0(4(0(x1)))))))))))) -> 0^1(2(4(0(1(2(1(2(4(0(3(x1)))))))))))
   5^1(5(5(1(0(0(2(5(0(0(4(0(x1)))))))))))) -> 2^1(4(0(1(2(1(2(4(0(3(x1))))))))))
   5^1(5(5(1(0(0(2(5(0(0(4(0(x1)))))))))))) -> 4^1(0(1(2(1(2(4(0(3(x1)))))))))
   5^1(5(5(1(0(0(2(5(0(0(4(0(x1)))))))))))) -> 0^1(1(2(1(2(4(0(3(x1))))))))
   5^1(5(5(1(0(0(2(5(0(0(4(0(x1)))))))))))) -> 1^1(2(1(2(4(0(3(x1)))))))
   5^1(5(5(1(0(0(2(5(0(0(4(0(x1)))))))))))) -> 2^1(1(2(4(0(3(x1))))))
   5^1(5(5(1(0(0(2(5(0(0(4(0(x1)))))))))))) -> 1^1(2(4(0(3(x1)))))
   5^1(5(5(1(0(0(2(5(0(0(4(0(x1)))))))))))) -> 2^1(4(0(3(x1))))
   5^1(5(5(1(0(0(2(5(0(0(4(0(x1)))))))))))) -> 4^1(0(3(x1)))
   5^1(5(5(1(0(0(2(5(0(0(4(0(x1)))))))))))) -> 0^1(3(x1))
   5^1(5(5(1(0(0(2(5(0(0(4(0(x1)))))))))))) -> 3^1(x1)
   0^1(3(1(4(5(0(4(3(3(0(4(0(x1)))))))))))) -> 2^1(1(4(2(2(2(0(1(1(2(1(2(0(4(2(x1)))))))))))))))
   0^1(3(1(4(5(0(4(3(3(0(4(0(x1)))))))))))) -> 1^1(4(2(2(2(0(1(1(2(1(2(0(4(2(x1))))))))))))))
   0^1(3(1(4(5(0(4(3(3(0(4(0(x1)))))))))))) -> 4^1(2(2(2(0(1(1(2(1(2(0(4(2(x1)))))))))))))
   0^1(3(1(4(5(0(4(3(3(0(4(0(x1)))))))))))) -> 2^1(2(2(0(1(1(2(1(2(0(4(2(x1))))))))))))
   0^1(3(1(4(5(0(4(3(3(0(4(0(x1)))))))))))) -> 2^1(2(0(1(1(2(1(2(0(4(2(x1)))))))))))
   0^1(3(1(4(5(0(4(3(3(0(4(0(x1)))))))))))) -> 2^1(0(1(1(2(1(2(0(4(2(x1))))))))))
   0^1(3(1(4(5(0(4(3(3(0(4(0(x1)))))))))))) -> 0^1(1(1(2(1(2(0(4(2(x1)))))))))
   0^1(3(1(4(5(0(4(3(3(0(4(0(x1)))))))))))) -> 1^1(1(2(1(2(0(4(2(x1))))))))
   0^1(3(1(4(5(0(4(3(3(0(4(0(x1)))))))))))) -> 1^1(2(1(2(0(4(2(x1)))))))
   0^1(3(1(4(5(0(4(3(3(0(4(0(x1)))))))))))) -> 2^1(1(2(0(4(2(x1))))))
   0^1(3(1(4(5(0(4(3(3(0(4(0(x1)))))))))))) -> 1^1(2(0(4(2(x1)))))
   0^1(3(1(4(5(0(4(3(3(0(4(0(x1)))))))))))) -> 2^1(0(4(2(x1))))
   0^1(3(1(4(5(0(4(3(3(0(4(0(x1)))))))))))) -> 0^1(4(2(x1)))
   0^1(3(1(4(5(0(4(3(3(0(4(0(x1)))))))))))) -> 4^1(2(x1))
   0^1(3(1(4(5(0(4(3(3(0(4(0(x1)))))))))))) -> 2^1(x1)
   0^1(0(0(4(0(0(3(0(4(3(4(0(x1)))))))))))) -> 0^1(0(1(2(2(2(0(5(1(2(1(2(2(2(5(2(1(0(x1))))))))))))))))))
   0^1(0(0(4(0(0(3(0(4(3(4(0(x1)))))))))))) -> 0^1(1(2(2(2(0(5(1(2(1(2(2(2(5(2(1(0(x1)))))))))))))))))
   0^1(0(0(4(0(0(3(0(4(3(4(0(x1)))))))))))) -> 1^1(2(2(2(0(5(1(2(1(2(2(2(5(2(1(0(x1))))))))))))))))
   0^1(0(0(4(0(0(3(0(4(3(4(0(x1)))))))))))) -> 2^1(2(2(0(5(1(2(1(2(2(2(5(2(1(0(x1)))))))))))))))
   0^1(0(0(4(0(0(3(0(4(3(4(0(x1)))))))))))) -> 2^1(2(0(5(1(2(1(2(2(2(5(2(1(0(x1))))))))))))))
   0^1(0(0(4(0(0(3(0(4(3(4(0(x1)))))))))))) -> 2^1(0(5(1(2(1(2(2(2(5(2(1(0(x1)))))))))))))
   0^1(0(0(4(0(0(3(0(4(3(4(0(x1)))))))))))) -> 0^1(5(1(2(1(2(2(2(5(2(1(0(x1))))))))))))
   0^1(0(0(4(0(0(3(0(4(3(4(0(x1)))))))))))) -> 5^1(1(2(1(2(2(2(5(2(1(0(x1)))))))))))
   0^1(0(0(4(0(0(3(0(4(3(4(0(x1)))))))))))) -> 1^1(2(1(2(2(2(5(2(1(0(x1))))))))))
   0^1(0(0(4(0(0(3(0(4(3(4(0(x1)))))))))))) -> 2^1(1(2(2(2(5(2(1(0(x1)))))))))
   0^1(0(0(4(0(0(3(0(4(3(4(0(x1)))))))))))) -> 1^1(2(2(2(5(2(1(0(x1))))))))
   0^1(0(0(4(0(0(3(0(4(3(4(0(x1)))))))))))) -> 2^1(2(2(5(2(1(0(x1)))))))
   0^1(0(0(4(0(0(3(0(4(3(4(0(x1)))))))))))) -> 2^1(2(5(2(1(0(x1))))))
   0^1(0(0(4(0(0(3(0(4(3(4(0(x1)))))))))))) -> 2^1(5(2(1(0(x1)))))
   0^1(0(0(4(0(0(3(0(4(3(4(0(x1)))))))))))) -> 5^1(2(1(0(x1))))
   0^1(0(0(4(0(0(3(0(4(3(4(0(x1)))))))))))) -> 2^1(1(0(x1)))
   0^1(0(0(4(0(0(3(0(4(3(4(0(x1)))))))))))) -> 1^1(0(x1))
   2^1(0(5(0(0(3(1(5(0(5(4(0(x1)))))))))))) -> 0^1(2(1(2(4(1(1(2(1(5(1(2(4(1(x1))))))))))))))
   2^1(0(5(0(0(3(1(5(0(5(4(0(x1)))))))))))) -> 2^1(1(2(4(1(1(2(1(5(1(2(4(1(x1)))))))))))))
   2^1(0(5(0(0(3(1(5(0(5(4(0(x1)))))))))))) -> 1^1(2(4(1(1(2(1(5(1(2(4(1(x1))))))))))))
   2^1(0(5(0(0(3(1(5(0(5(4(0(x1)))))))))))) -> 2^1(4(1(1(2(1(5(1(2(4(1(x1)))))))))))
   2^1(0(5(0(0(3(1(5(0(5(4(0(x1)))))))))))) -> 4^1(1(1(2(1(5(1(2(4(1(x1))))))))))
   2^1(0(5(0(0(3(1(5(0(5(4(0(x1)))))))))))) -> 1^1(1(2(1(5(1(2(4(1(x1)))))))))
   2^1(0(5(0(0(3(1(5(0(5(4(0(x1)))))))))))) -> 1^1(2(1(5(1(2(4(1(x1))))))))
   2^1(0(5(0(0(3(1(5(0(5(4(0(x1)))))))))))) -> 2^1(1(5(1(2(4(1(x1)))))))
   2^1(0(5(0(0(3(1(5(0(5(4(0(x1)))))))))))) -> 1^1(5(1(2(4(1(x1))))))
   2^1(0(5(0(0(3(1(5(0(5(4(0(x1)))))))))))) -> 5^1(1(2(4(1(x1)))))
   2^1(0(5(0(0(3(1(5(0(5(4(0(x1)))))))))))) -> 1^1(2(4(1(x1))))
   2^1(0(5(0(0(3(1(5(0(5(4(0(x1)))))))))))) -> 2^1(4(1(x1)))
   2^1(0(5(0(0(3(1(5(0(5(4(0(x1)))))))))))) -> 4^1(1(x1))
   2^1(0(5(0(0(3(1(5(0(5(4(0(x1)))))))))))) -> 1^1(x1)
   4^1(4(0(4(3(3(0(4(1(5(4(0(x1)))))))))))) -> 4^1(1(3(1(2(5(3(3(1(2(4(2(1(2(2(5(x1))))))))))))))))
   4^1(4(0(4(3(3(0(4(1(5(4(0(x1)))))))))))) -> 1^1(3(1(2(5(3(3(1(2(4(2(1(2(2(5(x1)))))))))))))))
   4^1(4(0(4(3(3(0(4(1(5(4(0(x1)))))))))))) -> 3^1(1(2(5(3(3(1(2(4(2(1(2(2(5(x1))))))))))))))
   4^1(4(0(4(3(3(0(4(1(5(4(0(x1)))))))))))) -> 1^1(2(5(3(3(1(2(4(2(1(2(2(5(x1)))))))))))))
   4^1(4(0(4(3(3(0(4(1(5(4(0(x1)))))))))))) -> 2^1(5(3(3(1(2(4(2(1(2(2(5(x1))))))))))))
   4^1(4(0(4(3(3(0(4(1(5(4(0(x1)))))))))))) -> 5^1(3(3(1(2(4(2(1(2(2(5(x1)))))))))))
   4^1(4(0(4(3(3(0(4(1(5(4(0(x1)))))))))))) -> 3^1(3(1(2(4(2(1(2(2(5(x1))))))))))
   4^1(4(0(4(3(3(0(4(1(5(4(0(x1)))))))))))) -> 3^1(1(2(4(2(1(2(2(5(x1)))))))))
   4^1(4(0(4(3(3(0(4(1(5(4(0(x1)))))))))))) -> 1^1(2(4(2(1(2(2(5(x1))))))))
   4^1(4(0(4(3(3(0(4(1(5(4(0(x1)))))))))))) -> 2^1(4(2(1(2(2(5(x1)))))))
   4^1(4(0(4(3(3(0(4(1(5(4(0(x1)))))))))))) -> 4^1(2(1(2(2(5(x1))))))
   4^1(4(0(4(3(3(0(4(1(5(4(0(x1)))))))))))) -> 2^1(1(2(2(5(x1)))))
   4^1(4(0(4(3(3(0(4(1(5(4(0(x1)))))))))))) -> 1^1(2(2(5(x1))))
   4^1(4(0(4(3(3(0(4(1(5(4(0(x1)))))))))))) -> 2^1(2(5(x1)))
   4^1(4(0(4(3(3(0(4(1(5(4(0(x1)))))))))))) -> 2^1(5(x1))
   4^1(4(0(4(3(3(0(4(1(5(4(0(x1)))))))))))) -> 5^1(x1)
   3^1(5(5(3(5(0(5(1(1(0(5(0(x1)))))))))))) -> 2^1(3(2(1(3(3(0(2(3(1(0(2(0(2(1(x1)))))))))))))))
   3^1(5(5(3(5(0(5(1(1(0(5(0(x1)))))))))))) -> 3^1(2(1(3(3(0(2(3(1(0(2(0(2(1(x1))))))))))))))
   3^1(5(5(3(5(0(5(1(1(0(5(0(x1)))))))))))) -> 2^1(1(3(3(0(2(3(1(0(2(0(2(1(x1)))))))))))))
   3^1(5(5(3(5(0(5(1(1(0(5(0(x1)))))))))))) -> 1^1(3(3(0(2(3(1(0(2(0(2(1(x1))))))))))))
   3^1(5(5(3(5(0(5(1(1(0(5(0(x1)))))))))))) -> 3^1(3(0(2(3(1(0(2(0(2(1(x1)))))))))))
   3^1(5(5(3(5(0(5(1(1(0(5(0(x1)))))))))))) -> 3^1(0(2(3(1(0(2(0(2(1(x1))))))))))
   3^1(5(5(3(5(0(5(1(1(0(5(0(x1)))))))))))) -> 0^1(2(3(1(0(2(0(2(1(x1)))))))))
   3^1(5(5(3(5(0(5(1(1(0(5(0(x1)))))))))))) -> 2^1(3(1(0(2(0(2(1(x1))))))))
   3^1(5(5(3(5(0(5(1(1(0(5(0(x1)))))))))))) -> 3^1(1(0(2(0(2(1(x1)))))))
   3^1(5(5(3(5(0(5(1(1(0(5(0(x1)))))))))))) -> 1^1(0(2(0(2(1(x1))))))
   3^1(5(5(3(5(0(5(1(1(0(5(0(x1)))))))))))) -> 0^1(2(0(2(1(x1)))))
   3^1(5(5(3(5(0(5(1(1(0(5(0(x1)))))))))))) -> 2^1(0(2(1(x1))))
   3^1(5(5(3(5(0(5(1(1(0(5(0(x1)))))))))))) -> 0^1(2(1(x1)))
   3^1(5(5(3(5(0(5(1(1(0(5(0(x1)))))))))))) -> 2^1(1(x1))
   3^1(5(5(3(5(0(5(1(1(0(5(0(x1)))))))))))) -> 1^1(x1)
   2^1(3(1(4(4(5(3(2(1(0(5(0(x1)))))))))))) -> 3^1(5(2(2(2(2(5(0(2(2(1(1(4(2(1(x1)))))))))))))))
   2^1(3(1(4(4(5(3(2(1(0(5(0(x1)))))))))))) -> 5^1(2(2(2(2(5(0(2(2(1(1(4(2(1(x1))))))))))))))
   2^1(3(1(4(4(5(3(2(1(0(5(0(x1)))))))))))) -> 2^1(2(2(2(5(0(2(2(1(1(4(2(1(x1)))))))))))))
   2^1(3(1(4(4(5(3(2(1(0(5(0(x1)))))))))))) -> 2^1(2(2(5(0(2(2(1(1(4(2(1(x1))))))))))))
   2^1(3(1(4(4(5(3(2(1(0(5(0(x1)))))))))))) -> 2^1(2(5(0(2(2(1(1(4(2(1(x1)))))))))))
   2^1(3(1(4(4(5(3(2(1(0(5(0(x1)))))))))))) -> 2^1(5(0(2(2(1(1(4(2(1(x1))))))))))
   2^1(3(1(4(4(5(3(2(1(0(5(0(x1)))))))))))) -> 5^1(0(2(2(1(1(4(2(1(x1)))))))))
   2^1(3(1(4(4(5(3(2(1(0(5(0(x1)))))))))))) -> 0^1(2(2(1(1(4(2(1(x1))))))))
   2^1(3(1(4(4(5(3(2(1(0(5(0(x1)))))))))))) -> 2^1(2(1(1(4(2(1(x1)))))))
   2^1(3(1(4(4(5(3(2(1(0(5(0(x1)))))))))))) -> 2^1(1(1(4(2(1(x1))))))
   2^1(3(1(4(4(5(3(2(1(0(5(0(x1)))))))))))) -> 1^1(1(4(2(1(x1)))))
   2^1(3(1(4(4(5(3(2(1(0(5(0(x1)))))))))))) -> 1^1(4(2(1(x1))))
   2^1(3(1(4(4(5(3(2(1(0(5(0(x1)))))))))))) -> 4^1(2(1(x1)))
   2^1(3(1(4(4(5(3(2(1(0(5(0(x1)))))))))))) -> 2^1(1(x1))
   2^1(3(1(4(4(5(3(2(1(0(5(0(x1)))))))))))) -> 1^1(x1)
   2^1(0(4(4(0(3(0(0(3(0(5(0(x1)))))))))))) -> 2^1(3(2(0(2(1(2(1(4(2(2(2(3(2(2(1(0(2(x1))))))))))))))))))
   2^1(0(4(4(0(3(0(0(3(0(5(0(x1)))))))))))) -> 3^1(2(0(2(1(2(1(4(2(2(2(3(2(2(1(0(2(x1)))))))))))))))))
   2^1(0(4(4(0(3(0(0(3(0(5(0(x1)))))))))))) -> 2^1(0(2(1(2(1(4(2(2(2(3(2(2(1(0(2(x1))))))))))))))))
   2^1(0(4(4(0(3(0(0(3(0(5(0(x1)))))))))))) -> 0^1(2(1(2(1(4(2(2(2(3(2(2(1(0(2(x1)))))))))))))))
   2^1(0(4(4(0(3(0(0(3(0(5(0(x1)))))))))))) -> 2^1(1(2(1(4(2(2(2(3(2(2(1(0(2(x1))))))))))))))
   2^1(0(4(4(0(3(0(0(3(0(5(0(x1)))))))))))) -> 1^1(2(1(4(2(2(2(3(2(2(1(0(2(x1)))))))))))))
   2^1(0(4(4(0(3(0(0(3(0(5(0(x1)))))))))))) -> 2^1(1(4(2(2(2(3(2(2(1(0(2(x1))))))))))))
   2^1(0(4(4(0(3(0(0(3(0(5(0(x1)))))))))))) -> 1^1(4(2(2(2(3(2(2(1(0(2(x1)))))))))))
   2^1(0(4(4(0(3(0(0(3(0(5(0(x1)))))))))))) -> 4^1(2(2(2(3(2(2(1(0(2(x1))))))))))
   2^1(0(4(4(0(3(0(0(3(0(5(0(x1)))))))))))) -> 2^1(2(2(3(2(2(1(0(2(x1)))))))))
   2^1(0(4(4(0(3(0(0(3(0(5(0(x1)))))))))))) -> 2^1(2(3(2(2(1(0(2(x1))))))))
   2^1(0(4(4(0(3(0(0(3(0(5(0(x1)))))))))))) -> 2^1(3(2(2(1(0(2(x1)))))))
   2^1(0(4(4(0(3(0(0(3(0(5(0(x1)))))))))))) -> 3^1(2(2(1(0(2(x1))))))
   2^1(0(4(4(0(3(0(0(3(0(5(0(x1)))))))))))) -> 2^1(2(1(0(2(x1)))))
   2^1(0(4(4(0(3(0(0(3(0(5(0(x1)))))))))))) -> 2^1(1(0(2(x1))))
   2^1(0(4(4(0(3(0(0(3(0(5(0(x1)))))))))))) -> 1^1(0(2(x1)))
   2^1(0(4(4(0(3(0(0(3(0(5(0(x1)))))))))))) -> 0^1(2(x1))
   2^1(0(4(4(0(3(0(0(3(0(5(0(x1)))))))))))) -> 2^1(x1)
   3^1(4(5(5(5(0(0(5(4(0(5(0(x1)))))))))))) -> 3^1(5(5(3(2(4(5(2(4(3(2(5(1(2(2(2(2(2(x1))))))))))))))))))
   3^1(4(5(5(5(0(0(5(4(0(5(0(x1)))))))))))) -> 5^1(5(3(2(4(5(2(4(3(2(5(1(2(2(2(2(2(x1)))))))))))))))))
   3^1(4(5(5(5(0(0(5(4(0(5(0(x1)))))))))))) -> 5^1(3(2(4(5(2(4(3(2(5(1(2(2(2(2(2(x1))))))))))))))))
   3^1(4(5(5(5(0(0(5(4(0(5(0(x1)))))))))))) -> 3^1(2(4(5(2(4(3(2(5(1(2(2(2(2(2(x1)))))))))))))))
   3^1(4(5(5(5(0(0(5(4(0(5(0(x1)))))))))))) -> 2^1(4(5(2(4(3(2(5(1(2(2(2(2(2(x1))))))))))))))
   3^1(4(5(5(5(0(0(5(4(0(5(0(x1)))))))))))) -> 4^1(5(2(4(3(2(5(1(2(2(2(2(2(x1)))))))))))))
   3^1(4(5(5(5(0(0(5(4(0(5(0(x1)))))))))))) -> 5^1(2(4(3(2(5(1(2(2(2(2(2(x1))))))))))))
   3^1(4(5(5(5(0(0(5(4(0(5(0(x1)))))))))))) -> 2^1(4(3(2(5(1(2(2(2(2(2(x1)))))))))))
   3^1(4(5(5(5(0(0(5(4(0(5(0(x1)))))))))))) -> 4^1(3(2(5(1(2(2(2(2(2(x1))))))))))
   3^1(4(5(5(5(0(0(5(4(0(5(0(x1)))))))))))) -> 3^1(2(5(1(2(2(2(2(2(x1)))))))))
   3^1(4(5(5(5(0(0(5(4(0(5(0(x1)))))))))))) -> 2^1(5(1(2(2(2(2(2(x1))))))))
   3^1(4(5(5(5(0(0(5(4(0(5(0(x1)))))))))))) -> 5^1(1(2(2(2(2(2(x1)))))))
   3^1(4(5(5(5(0(0(5(4(0(5(0(x1)))))))))))) -> 1^1(2(2(2(2(2(x1))))))
   3^1(4(5(5(5(0(0(5(4(0(5(0(x1)))))))))))) -> 2^1(2(2(2(2(x1)))))
   3^1(4(5(5(5(0(0(5(4(0(5(0(x1)))))))))))) -> 2^1(2(2(2(x1))))
   3^1(4(5(5(5(0(0(5(4(0(5(0(x1)))))))))))) -> 2^1(2(2(x1)))
   3^1(4(5(5(5(0(0(5(4(0(5(0(x1)))))))))))) -> 2^1(2(x1))
   3^1(4(5(5(5(0(0(5(4(0(5(0(x1)))))))))))) -> 2^1(x1)
   5^1(4(5(0(5(1(3(1(1(1(5(0(x1)))))))))))) -> 4^1(0(5(2(2(0(2(4(2(2(1(2(1(3(3(x1)))))))))))))))
   5^1(4(5(0(5(1(3(1(1(1(5(0(x1)))))))))))) -> 0^1(5(2(2(0(2(4(2(2(1(2(1(3(3(x1))))))))))))))
   5^1(4(5(0(5(1(3(1(1(1(5(0(x1)))))))))))) -> 5^1(2(2(0(2(4(2(2(1(2(1(3(3(x1)))))))))))))
   5^1(4(5(0(5(1(3(1(1(1(5(0(x1)))))))))))) -> 2^1(2(0(2(4(2(2(1(2(1(3(3(x1))))))))))))
   5^1(4(5(0(5(1(3(1(1(1(5(0(x1)))))))))))) -> 2^1(0(2(4(2(2(1(2(1(3(3(x1)))))))))))
   5^1(4(5(0(5(1(3(1(1(1(5(0(x1)))))))))))) -> 0^1(2(4(2(2(1(2(1(3(3(x1))))))))))
   5^1(4(5(0(5(1(3(1(1(1(5(0(x1)))))))))))) -> 2^1(4(2(2(1(2(1(3(3(x1)))))))))
   5^1(4(5(0(5(1(3(1(1(1(5(0(x1)))))))))))) -> 4^1(2(2(1(2(1(3(3(x1))))))))
   5^1(4(5(0(5(1(3(1(1(1(5(0(x1)))))))))))) -> 2^1(2(1(2(1(3(3(x1)))))))
   5^1(4(5(0(5(1(3(1(1(1(5(0(x1)))))))))))) -> 2^1(1(2(1(3(3(x1))))))
   5^1(4(5(0(5(1(3(1(1(1(5(0(x1)))))))))))) -> 1^1(2(1(3(3(x1)))))
   5^1(4(5(0(5(1(3(1(1(1(5(0(x1)))))))))))) -> 2^1(1(3(3(x1))))
   5^1(4(5(0(5(1(3(1(1(1(5(0(x1)))))))))))) -> 1^1(3(3(x1)))
   5^1(4(5(0(5(1(3(1(1(1(5(0(x1)))))))))))) -> 3^1(3(x1))
   5^1(4(5(0(5(1(3(1(1(1(5(0(x1)))))))))))) -> 3^1(x1)
   4^1(4(4(5(5(3(2(5(1(3(5(0(x1)))))))))))) -> 5^1(5(2(4(2(4(4(2(2(1(2(5(5(3(1(2(5(x1)))))))))))))))))
   4^1(4(4(5(5(3(2(5(1(3(5(0(x1)))))))))))) -> 5^1(2(4(2(4(4(2(2(1(2(5(5(3(1(2(5(x1))))))))))))))))
   4^1(4(4(5(5(3(2(5(1(3(5(0(x1)))))))))))) -> 2^1(4(2(4(4(2(2(1(2(5(5(3(1(2(5(x1)))))))))))))))
   4^1(4(4(5(5(3(2(5(1(3(5(0(x1)))))))))))) -> 4^1(2(4(4(2(2(1(2(5(5(3(1(2(5(x1))))))))))))))
   4^1(4(4(5(5(3(2(5(1(3(5(0(x1)))))))))))) -> 2^1(4(4(2(2(1(2(5(5(3(1(2(5(x1)))))))))))))
   4^1(4(4(5(5(3(2(5(1(3(5(0(x1)))))))))))) -> 4^1(4(2(2(1(2(5(5(3(1(2(5(x1))))))))))))
   4^1(4(4(5(5(3(2(5(1(3(5(0(x1)))))))))))) -> 4^1(2(2(1(2(5(5(3(1(2(5(x1)))))))))))
   4^1(4(4(5(5(3(2(5(1(3(5(0(x1)))))))))))) -> 2^1(2(1(2(5(5(3(1(2(5(x1))))))))))
   4^1(4(4(5(5(3(2(5(1(3(5(0(x1)))))))))))) -> 2^1(1(2(5(5(3(1(2(5(x1)))))))))
   4^1(4(4(5(5(3(2(5(1(3(5(0(x1)))))))))))) -> 1^1(2(5(5(3(1(2(5(x1))))))))
   4^1(4(4(5(5(3(2(5(1(3(5(0(x1)))))))))))) -> 2^1(5(5(3(1(2(5(x1)))))))
   4^1(4(4(5(5(3(2(5(1(3(5(0(x1)))))))))))) -> 5^1(5(3(1(2(5(x1))))))
   4^1(4(4(5(5(3(2(5(1(3(5(0(x1)))))))))))) -> 5^1(3(1(2(5(x1)))))
   4^1(4(4(5(5(3(2(5(1(3(5(0(x1)))))))))))) -> 3^1(1(2(5(x1))))
   4^1(4(4(5(5(3(2(5(1(3(5(0(x1)))))))))))) -> 1^1(2(5(x1)))
   4^1(4(4(5(5(3(2(5(1(3(5(0(x1)))))))))))) -> 2^1(5(x1))
   4^1(4(4(5(5(3(2(5(1(3(5(0(x1)))))))))))) -> 5^1(x1)
   4^1(3(4(5(4(1(2(2(1(4(5(0(x1)))))))))))) -> 1^1(2(0(3(3(3(1(2(3(1(2(2(0(1(x1))))))))))))))
   4^1(3(4(5(4(1(2(2(1(4(5(0(x1)))))))))))) -> 2^1(0(3(3(3(1(2(3(1(2(2(0(1(x1)))))))))))))
   4^1(3(4(5(4(1(2(2(1(4(5(0(x1)))))))))))) -> 0^1(3(3(3(1(2(3(1(2(2(0(1(x1))))))))))))
   4^1(3(4(5(4(1(2(2(1(4(5(0(x1)))))))))))) -> 3^1(3(3(1(2(3(1(2(2(0(1(x1)))))))))))
   4^1(3(4(5(4(1(2(2(1(4(5(0(x1)))))))))))) -> 3^1(3(1(2(3(1(2(2(0(1(x1))))))))))
   4^1(3(4(5(4(1(2(2(1(4(5(0(x1)))))))))))) -> 3^1(1(2(3(1(2(2(0(1(x1)))))))))
   4^1(3(4(5(4(1(2(2(1(4(5(0(x1)))))))))))) -> 1^1(2(3(1(2(2(0(1(x1))))))))
   4^1(3(4(5(4(1(2(2(1(4(5(0(x1)))))))))))) -> 2^1(3(1(2(2(0(1(x1)))))))
   4^1(3(4(5(4(1(2(2(1(4(5(0(x1)))))))))))) -> 3^1(1(2(2(0(1(x1))))))
   4^1(3(4(5(4(1(2(2(1(4(5(0(x1)))))))))))) -> 1^1(2(2(0(1(x1)))))
   4^1(3(4(5(4(1(2(2(1(4(5(0(x1)))))))))))) -> 2^1(2(0(1(x1))))
   4^1(3(4(5(4(1(2(2(1(4(5(0(x1)))))))))))) -> 2^1(0(1(x1)))
   4^1(3(4(5(4(1(2(2(1(4(5(0(x1)))))))))))) -> 0^1(1(x1))
   4^1(3(4(5(4(1(2(2(1(4(5(0(x1)))))))))))) -> 1^1(x1)
   3^1(3(0(1(4(4(0(0(4(4(5(0(x1)))))))))))) -> 2^1(2(2(4(1(4(2(1(2(1(3(2(5(4(4(4(x1))))))))))))))))
   3^1(3(0(1(4(4(0(0(4(4(5(0(x1)))))))))))) -> 2^1(2(4(1(4(2(1(2(1(3(2(5(4(4(4(x1)))))))))))))))
   3^1(3(0(1(4(4(0(0(4(4(5(0(x1)))))))))))) -> 2^1(4(1(4(2(1(2(1(3(2(5(4(4(4(x1))))))))))))))
   3^1(3(0(1(4(4(0(0(4(4(5(0(x1)))))))))))) -> 4^1(1(4(2(1(2(1(3(2(5(4(4(4(x1)))))))))))))
   3^1(3(0(1(4(4(0(0(4(4(5(0(x1)))))))))))) -> 1^1(4(2(1(2(1(3(2(5(4(4(4(x1))))))))))))
   3^1(3(0(1(4(4(0(0(4(4(5(0(x1)))))))))))) -> 4^1(2(1(2(1(3(2(5(4(4(4(x1)))))))))))
   3^1(3(0(1(4(4(0(0(4(4(5(0(x1)))))))))))) -> 2^1(1(2(1(3(2(5(4(4(4(x1))))))))))
   3^1(3(0(1(4(4(0(0(4(4(5(0(x1)))))))))))) -> 1^1(2(1(3(2(5(4(4(4(x1)))))))))
   3^1(3(0(1(4(4(0(0(4(4(5(0(x1)))))))))))) -> 2^1(1(3(2(5(4(4(4(x1))))))))
   3^1(3(0(1(4(4(0(0(4(4(5(0(x1)))))))))))) -> 1^1(3(2(5(4(4(4(x1)))))))
   3^1(3(0(1(4(4(0(0(4(4(5(0(x1)))))))))))) -> 3^1(2(5(4(4(4(x1))))))
   3^1(3(0(1(4(4(0(0(4(4(5(0(x1)))))))))))) -> 2^1(5(4(4(4(x1)))))
   3^1(3(0(1(4(4(0(0(4(4(5(0(x1)))))))))))) -> 5^1(4(4(4(x1))))
   3^1(3(0(1(4(4(0(0(4(4(5(0(x1)))))))))))) -> 4^1(4(4(x1)))
   3^1(3(0(1(4(4(0(0(4(4(5(0(x1)))))))))))) -> 4^1(4(x1))
   3^1(3(0(1(4(4(0(0(4(4(5(0(x1)))))))))))) -> 4^1(x1)
   2^1(1(3(0(1(4(5(1(4(5(0(1(x1)))))))))))) -> 2^1(1(5(0(0(2(5(0(2(2(2(3(2(2(3(1(1(2(x1))))))))))))))))))
   2^1(1(3(0(1(4(5(1(4(5(0(1(x1)))))))))))) -> 1^1(5(0(0(2(5(0(2(2(2(3(2(2(3(1(1(2(x1)))))))))))))))))
   2^1(1(3(0(1(4(5(1(4(5(0(1(x1)))))))))))) -> 5^1(0(0(2(5(0(2(2(2(3(2(2(3(1(1(2(x1))))))))))))))))
   2^1(1(3(0(1(4(5(1(4(5(0(1(x1)))))))))))) -> 0^1(0(2(5(0(2(2(2(3(2(2(3(1(1(2(x1)))))))))))))))
   2^1(1(3(0(1(4(5(1(4(5(0(1(x1)))))))))))) -> 0^1(2(5(0(2(2(2(3(2(2(3(1(1(2(x1))))))))))))))
   2^1(1(3(0(1(4(5(1(4(5(0(1(x1)))))))))))) -> 2^1(5(0(2(2(2(3(2(2(3(1(1(2(x1)))))))))))))
   2^1(1(3(0(1(4(5(1(4(5(0(1(x1)))))))))))) -> 5^1(0(2(2(2(3(2(2(3(1(1(2(x1))))))))))))
   2^1(1(3(0(1(4(5(1(4(5(0(1(x1)))))))))))) -> 0^1(2(2(2(3(2(2(3(1(1(2(x1)))))))))))
   2^1(1(3(0(1(4(5(1(4(5(0(1(x1)))))))))))) -> 2^1(2(2(3(2(2(3(1(1(2(x1))))))))))
   2^1(1(3(0(1(4(5(1(4(5(0(1(x1)))))))))))) -> 2^1(2(3(2(2(3(1(1(2(x1)))))))))
   2^1(1(3(0(1(4(5(1(4(5(0(1(x1)))))))))))) -> 2^1(3(2(2(3(1(1(2(x1))))))))
   2^1(1(3(0(1(4(5(1(4(5(0(1(x1)))))))))))) -> 3^1(2(2(3(1(1(2(x1)))))))
   2^1(1(3(0(1(4(5(1(4(5(0(1(x1)))))))))))) -> 2^1(2(3(1(1(2(x1))))))
   2^1(1(3(0(1(4(5(1(4(5(0(1(x1)))))))))))) -> 2^1(3(1(1(2(x1)))))
   2^1(1(3(0(1(4(5(1(4(5(0(1(x1)))))))))))) -> 3^1(1(1(2(x1))))
   2^1(1(3(0(1(4(5(1(4(5(0(1(x1)))))))))))) -> 1^1(1(2(x1)))
   2^1(1(3(0(1(4(5(1(4(5(0(1(x1)))))))))))) -> 1^1(2(x1))
   2^1(1(3(0(1(4(5(1(4(5(0(1(x1)))))))))))) -> 2^1(x1)
   4^1(0(1(4(0(0(1(1(5(5(2(1(x1)))))))))))) -> 4^1(5(2(4(2(1(5(1(2(3(5(3(1(2(2(x1)))))))))))))))
   4^1(0(1(4(0(0(1(1(5(5(2(1(x1)))))))))))) -> 5^1(2(4(2(1(5(1(2(3(5(3(1(2(2(x1))))))))))))))
   4^1(0(1(4(0(0(1(1(5(5(2(1(x1)))))))))))) -> 2^1(4(2(1(5(1(2(3(5(3(1(2(2(x1)))))))))))))
   4^1(0(1(4(0(0(1(1(5(5(2(1(x1)))))))))))) -> 4^1(2(1(5(1(2(3(5(3(1(2(2(x1))))))))))))
   4^1(0(1(4(0(0(1(1(5(5(2(1(x1)))))))))))) -> 2^1(1(5(1(2(3(5(3(1(2(2(x1)))))))))))
   4^1(0(1(4(0(0(1(1(5(5(2(1(x1)))))))))))) -> 1^1(5(1(2(3(5(3(1(2(2(x1))))))))))
   4^1(0(1(4(0(0(1(1(5(5(2(1(x1)))))))))))) -> 5^1(1(2(3(5(3(1(2(2(x1)))))))))
   4^1(0(1(4(0(0(1(1(5(5(2(1(x1)))))))))))) -> 1^1(2(3(5(3(1(2(2(x1))))))))
   4^1(0(1(4(0(0(1(1(5(5(2(1(x1)))))))))))) -> 2^1(3(5(3(1(2(2(x1)))))))
   4^1(0(1(4(0(0(1(1(5(5(2(1(x1)))))))))))) -> 3^1(5(3(1(2(2(x1))))))
   4^1(0(1(4(0(0(1(1(5(5(2(1(x1)))))))))))) -> 5^1(3(1(2(2(x1)))))
   4^1(0(1(4(0(0(1(1(5(5(2(1(x1)))))))))))) -> 3^1(1(2(2(x1))))
   4^1(0(1(4(0(0(1(1(5(5(2(1(x1)))))))))))) -> 1^1(2(2(x1)))
   4^1(0(1(4(0(0(1(1(5(5(2(1(x1)))))))))))) -> 2^1(2(x1))
   4^1(0(1(4(0(0(1(1(5(5(2(1(x1)))))))))))) -> 2^1(x1)
   4^1(1(1(3(1(0(3(5(0(0(3(1(x1)))))))))))) -> 4^1(2(4(2(2(3(5(0(2(3(2(2(2(2(2(x1)))))))))))))))
   4^1(1(1(3(1(0(3(5(0(0(3(1(x1)))))))))))) -> 2^1(4(2(2(3(5(0(2(3(2(2(2(2(2(x1))))))))))))))
   4^1(1(1(3(1(0(3(5(0(0(3(1(x1)))))))))))) -> 4^1(2(2(3(5(0(2(3(2(2(2(2(2(x1)))))))))))))
   4^1(1(1(3(1(0(3(5(0(0(3(1(x1)))))))))))) -> 2^1(2(3(5(0(2(3(2(2(2(2(2(x1))))))))))))
   4^1(1(1(3(1(0(3(5(0(0(3(1(x1)))))))))))) -> 2^1(3(5(0(2(3(2(2(2(2(2(x1)))))))))))
   4^1(1(1(3(1(0(3(5(0(0(3(1(x1)))))))))))) -> 3^1(5(0(2(3(2(2(2(2(2(x1))))))))))
   4^1(1(1(3(1(0(3(5(0(0(3(1(x1)))))))))))) -> 5^1(0(2(3(2(2(2(2(2(x1)))))))))
   4^1(1(1(3(1(0(3(5(0(0(3(1(x1)))))))))))) -> 0^1(2(3(2(2(2(2(2(x1))))))))
   4^1(1(1(3(1(0(3(5(0(0(3(1(x1)))))))))))) -> 2^1(3(2(2(2(2(2(x1)))))))
   4^1(1(1(3(1(0(3(5(0(0(3(1(x1)))))))))))) -> 3^1(2(2(2(2(2(x1))))))
   4^1(1(1(3(1(0(3(5(0(0(3(1(x1)))))))))))) -> 2^1(2(2(2(2(x1)))))
   4^1(1(1(3(1(0(3(5(0(0(3(1(x1)))))))))))) -> 2^1(2(2(2(x1))))
   4^1(1(1(3(1(0(3(5(0(0(3(1(x1)))))))))))) -> 2^1(2(2(x1)))
   4^1(1(1(3(1(0(3(5(0(0(3(1(x1)))))))))))) -> 2^1(2(x1))
   4^1(1(1(3(1(0(3(5(0(0(3(1(x1)))))))))))) -> 2^1(x1)
   4^1(3(3(4(3(1(5(1(4(1(3(1(x1)))))))))))) -> 2^1(2(5(2(1(2(1(2(3(4(2(1(4(2(1(2(1(x1)))))))))))))))))
   4^1(3(3(4(3(1(5(1(4(1(3(1(x1)))))))))))) -> 2^1(5(2(1(2(1(2(3(4(2(1(4(2(1(2(1(x1))))))))))))))))
   4^1(3(3(4(3(1(5(1(4(1(3(1(x1)))))))))))) -> 5^1(2(1(2(1(2(3(4(2(1(4(2(1(2(1(x1)))))))))))))))
   4^1(3(3(4(3(1(5(1(4(1(3(1(x1)))))))))))) -> 2^1(1(2(1(2(3(4(2(1(4(2(1(2(1(x1))))))))))))))
   4^1(3(3(4(3(1(5(1(4(1(3(1(x1)))))))))))) -> 1^1(2(1(2(3(4(2(1(4(2(1(2(1(x1)))))))))))))
   4^1(3(3(4(3(1(5(1(4(1(3(1(x1)))))))))))) -> 2^1(1(2(3(4(2(1(4(2(1(2(1(x1))))))))))))
   4^1(3(3(4(3(1(5(1(4(1(3(1(x1)))))))))))) -> 1^1(2(3(4(2(1(4(2(1(2(1(x1)))))))))))
   4^1(3(3(4(3(1(5(1(4(1(3(1(x1)))))))))))) -> 2^1(3(4(2(1(4(2(1(2(1(x1))))))))))
   4^1(3(3(4(3(1(5(1(4(1(3(1(x1)))))))))))) -> 3^1(4(2(1(4(2(1(2(1(x1)))))))))
   4^1(3(3(4(3(1(5(1(4(1(3(1(x1)))))))))))) -> 4^1(2(1(4(2(1(2(1(x1))))))))
   4^1(3(3(4(3(1(5(1(4(1(3(1(x1)))))))))))) -> 2^1(1(4(2(1(2(1(x1)))))))
   4^1(3(3(4(3(1(5(1(4(1(3(1(x1)))))))))))) -> 1^1(4(2(1(2(1(x1))))))
   4^1(3(3(4(3(1(5(1(4(1(3(1(x1)))))))))))) -> 4^1(2(1(2(1(x1)))))
   4^1(3(3(4(3(1(5(1(4(1(3(1(x1)))))))))))) -> 2^1(1(2(1(x1))))
   4^1(3(3(4(3(1(5(1(4(1(3(1(x1)))))))))))) -> 1^1(2(1(x1)))
   4^1(3(3(4(3(1(5(1(4(1(3(1(x1)))))))))))) -> 2^1(1(x1))
   5^1(3(3(3(3(0(1(3(1(4(3(1(x1)))))))))))) -> 4^1(4(3(3(4(2(2(5(2(2(1(2(2(1(2(x1)))))))))))))))
   5^1(3(3(3(3(0(1(3(1(4(3(1(x1)))))))))))) -> 4^1(3(3(4(2(2(5(2(2(1(2(2(1(2(x1))))))))))))))
   5^1(3(3(3(3(0(1(3(1(4(3(1(x1)))))))))))) -> 3^1(3(4(2(2(5(2(2(1(2(2(1(2(x1)))))))))))))
   5^1(3(3(3(3(0(1(3(1(4(3(1(x1)))))))))))) -> 3^1(4(2(2(5(2(2(1(2(2(1(2(x1))))))))))))
   5^1(3(3(3(3(0(1(3(1(4(3(1(x1)))))))))))) -> 4^1(2(2(5(2(2(1(2(2(1(2(x1)))))))))))
   5^1(3(3(3(3(0(1(3(1(4(3(1(x1)))))))))))) -> 2^1(2(5(2(2(1(2(2(1(2(x1))))))))))
   5^1(3(3(3(3(0(1(3(1(4(3(1(x1)))))))))))) -> 2^1(5(2(2(1(2(2(1(2(x1)))))))))
   5^1(3(3(3(3(0(1(3(1(4(3(1(x1)))))))))))) -> 5^1(2(2(1(2(2(1(2(x1))))))))
   5^1(3(3(3(3(0(1(3(1(4(3(1(x1)))))))))))) -> 2^1(2(1(2(2(1(2(x1)))))))
   5^1(3(3(3(3(0(1(3(1(4(3(1(x1)))))))))))) -> 2^1(1(2(2(1(2(x1))))))
   5^1(3(3(3(3(0(1(3(1(4(3(1(x1)))))))))))) -> 1^1(2(2(1(2(x1)))))
   5^1(3(3(3(3(0(1(3(1(4(3(1(x1)))))))))))) -> 2^1(2(1(2(x1))))
   5^1(3(3(3(3(0(1(3(1(4(3(1(x1)))))))))))) -> 2^1(1(2(x1)))
   5^1(3(3(3(3(0(1(3(1(4(3(1(x1)))))))))))) -> 1^1(2(x1))
   5^1(3(3(3(3(0(1(3(1(4(3(1(x1)))))))))))) -> 2^1(x1)
   0^1(1(3(4(3(3(1(4(4(3(4(1(x1)))))))))))) -> 0^1(4(1(2(5(0(1(2(2(0(2(4(2(2(2(2(1(x1)))))))))))))))))
   0^1(1(3(4(3(3(1(4(4(3(4(1(x1)))))))))))) -> 4^1(1(2(5(0(1(2(2(0(2(4(2(2(2(2(1(x1))))))))))))))))
   0^1(1(3(4(3(3(1(4(4(3(4(1(x1)))))))))))) -> 1^1(2(5(0(1(2(2(0(2(4(2(2(2(2(1(x1)))))))))))))))
   0^1(1(3(4(3(3(1(4(4(3(4(1(x1)))))))))))) -> 2^1(5(0(1(2(2(0(2(4(2(2(2(2(1(x1))))))))))))))
   0^1(1(3(4(3(3(1(4(4(3(4(1(x1)))))))))))) -> 5^1(0(1(2(2(0(2(4(2(2(2(2(1(x1)))))))))))))
   0^1(1(3(4(3(3(1(4(4(3(4(1(x1)))))))))))) -> 0^1(1(2(2(0(2(4(2(2(2(2(1(x1))))))))))))
   0^1(1(3(4(3(3(1(4(4(3(4(1(x1)))))))))))) -> 1^1(2(2(0(2(4(2(2(2(2(1(x1)))))))))))
   0^1(1(3(4(3(3(1(4(4(3(4(1(x1)))))))))))) -> 2^1(2(0(2(4(2(2(2(2(1(x1))))))))))
   0^1(1(3(4(3(3(1(4(4(3(4(1(x1)))))))))))) -> 2^1(0(2(4(2(2(2(2(1(x1)))))))))
   0^1(1(3(4(3(3(1(4(4(3(4(1(x1)))))))))))) -> 0^1(2(4(2(2(2(2(1(x1))))))))
   0^1(1(3(4(3(3(1(4(4(3(4(1(x1)))))))))))) -> 2^1(4(2(2(2(2(1(x1)))))))
   0^1(1(3(4(3(3(1(4(4(3(4(1(x1)))))))))))) -> 4^1(2(2(2(2(1(x1))))))
   0^1(1(3(4(3(3(1(4(4(3(4(1(x1)))))))))))) -> 2^1(2(2(2(1(x1)))))
   0^1(1(3(4(3(3(1(4(4(3(4(1(x1)))))))))))) -> 2^1(2(2(1(x1))))
   0^1(1(3(4(3(3(1(4(4(3(4(1(x1)))))))))))) -> 2^1(2(1(x1)))
   0^1(1(3(4(3(3(1(4(4(3(4(1(x1)))))))))))) -> 2^1(1(x1))
   3^1(2(1(1(5(4(1(1(4(5(4(1(x1)))))))))))) -> 5^1(2(2(2(2(3(2(2(4(4(3(0(4(3(x1))))))))))))))
   3^1(2(1(1(5(4(1(1(4(5(4(1(x1)))))))))))) -> 2^1(2(2(2(3(2(2(4(4(3(0(4(3(x1)))))))))))))
   3^1(2(1(1(5(4(1(1(4(5(4(1(x1)))))))))))) -> 2^1(2(2(3(2(2(4(4(3(0(4(3(x1))))))))))))
   3^1(2(1(1(5(4(1(1(4(5(4(1(x1)))))))))))) -> 2^1(2(3(2(2(4(4(3(0(4(3(x1)))))))))))
   3^1(2(1(1(5(4(1(1(4(5(4(1(x1)))))))))))) -> 2^1(3(2(2(4(4(3(0(4(3(x1))))))))))
   3^1(2(1(1(5(4(1(1(4(5(4(1(x1)))))))))))) -> 3^1(2(2(4(4(3(0(4(3(x1)))))))))
   3^1(2(1(1(5(4(1(1(4(5(4(1(x1)))))))))))) -> 2^1(2(4(4(3(0(4(3(x1))))))))
   3^1(2(1(1(5(4(1(1(4(5(4(1(x1)))))))))))) -> 2^1(4(4(3(0(4(3(x1)))))))
   3^1(2(1(1(5(4(1(1(4(5(4(1(x1)))))))))))) -> 4^1(4(3(0(4(3(x1))))))
   3^1(2(1(1(5(4(1(1(4(5(4(1(x1)))))))))))) -> 4^1(3(0(4(3(x1)))))
   3^1(2(1(1(5(4(1(1(4(5(4(1(x1)))))))))))) -> 3^1(0(4(3(x1))))
   3^1(2(1(1(5(4(1(1(4(5(4(1(x1)))))))))))) -> 0^1(4(3(x1)))
   3^1(2(1(1(5(4(1(1(4(5(4(1(x1)))))))))))) -> 4^1(3(x1))
   3^1(2(1(1(5(4(1(1(4(5(4(1(x1)))))))))))) -> 3^1(x1)
   5^1(2(4(5(3(2(5(3(3(5(5(1(x1)))))))))))) -> 4^1(3(3(2(3(4(2(2(2(1(0(2(2(0(x1))))))))))))))
   5^1(2(4(5(3(2(5(3(3(5(5(1(x1)))))))))))) -> 3^1(3(2(3(4(2(2(2(1(0(2(2(0(x1)))))))))))))
   5^1(2(4(5(3(2(5(3(3(5(5(1(x1)))))))))))) -> 3^1(2(3(4(2(2(2(1(0(2(2(0(x1))))))))))))
   5^1(2(4(5(3(2(5(3(3(5(5(1(x1)))))))))))) -> 2^1(3(4(2(2(2(1(0(2(2(0(x1)))))))))))
   5^1(2(4(5(3(2(5(3(3(5(5(1(x1)))))))))))) -> 3^1(4(2(2(2(1(0(2(2(0(x1))))))))))
   5^1(2(4(5(3(2(5(3(3(5(5(1(x1)))))))))))) -> 4^1(2(2(2(1(0(2(2(0(x1)))))))))
   5^1(2(4(5(3(2(5(3(3(5(5(1(x1)))))))))))) -> 2^1(2(2(1(0(2(2(0(x1))))))))
   5^1(2(4(5(3(2(5(3(3(5(5(1(x1)))))))))))) -> 2^1(2(1(0(2(2(0(x1)))))))
   5^1(2(4(5(3(2(5(3(3(5(5(1(x1)))))))))))) -> 2^1(1(0(2(2(0(x1))))))
   5^1(2(4(5(3(2(5(3(3(5(5(1(x1)))))))))))) -> 1^1(0(2(2(0(x1)))))
   5^1(2(4(5(3(2(5(3(3(5(5(1(x1)))))))))))) -> 0^1(2(2(0(x1))))
   5^1(2(4(5(3(2(5(3(3(5(5(1(x1)))))))))))) -> 2^1(2(0(x1)))
   5^1(2(4(5(3(2(5(3(3(5(5(1(x1)))))))))))) -> 2^1(0(x1))
   5^1(2(4(5(3(2(5(3(3(5(5(1(x1)))))))))))) -> 0^1(x1)
   4^1(1(3(1(0(1(1(4(5(3(0(2(x1)))))))))))) -> 0^1(2(2(5(1(2(3(3(3(4(2(5(4(2(1(3(x1))))))))))))))))
   4^1(1(3(1(0(1(1(4(5(3(0(2(x1)))))))))))) -> 2^1(2(5(1(2(3(3(3(4(2(5(4(2(1(3(x1)))))))))))))))
   4^1(1(3(1(0(1(1(4(5(3(0(2(x1)))))))))))) -> 2^1(5(1(2(3(3(3(4(2(5(4(2(1(3(x1))))))))))))))
   4^1(1(3(1(0(1(1(4(5(3(0(2(x1)))))))))))) -> 5^1(1(2(3(3(3(4(2(5(4(2(1(3(x1)))))))))))))
   4^1(1(3(1(0(1(1(4(5(3(0(2(x1)))))))))))) -> 1^1(2(3(3(3(4(2(5(4(2(1(3(x1))))))))))))
   4^1(1(3(1(0(1(1(4(5(3(0(2(x1)))))))))))) -> 2^1(3(3(3(4(2(5(4(2(1(3(x1)))))))))))
   4^1(1(3(1(0(1(1(4(5(3(0(2(x1)))))))))))) -> 3^1(3(3(4(2(5(4(2(1(3(x1))))))))))
   4^1(1(3(1(0(1(1(4(5(3(0(2(x1)))))))))))) -> 3^1(3(4(2(5(4(2(1(3(x1)))))))))
   4^1(1(3(1(0(1(1(4(5(3(0(2(x1)))))))))))) -> 3^1(4(2(5(4(2(1(3(x1))))))))
   4^1(1(3(1(0(1(1(4(5(3(0(2(x1)))))))))))) -> 4^1(2(5(4(2(1(3(x1)))))))
   4^1(1(3(1(0(1(1(4(5(3(0(2(x1)))))))))))) -> 2^1(5(4(2(1(3(x1))))))
   4^1(1(3(1(0(1(1(4(5(3(0(2(x1)))))))))))) -> 5^1(4(2(1(3(x1)))))
   4^1(1(3(1(0(1(1(4(5(3(0(2(x1)))))))))))) -> 4^1(2(1(3(x1))))
   4^1(1(3(1(0(1(1(4(5(3(0(2(x1)))))))))))) -> 2^1(1(3(x1)))
   4^1(1(3(1(0(1(1(4(5(3(0(2(x1)))))))))))) -> 1^1(3(x1))
   4^1(1(3(1(0(1(1(4(5(3(0(2(x1)))))))))))) -> 3^1(x1)
   4^1(0(0(4(3(2(4(0(0(4(1(2(x1)))))))))))) -> 1^1(1(2(3(1(2(3(2(4(5(2(5(5(4(x1))))))))))))))
   4^1(0(0(4(3(2(4(0(0(4(1(2(x1)))))))))))) -> 1^1(2(3(1(2(3(2(4(5(2(5(5(4(x1)))))))))))))
   4^1(0(0(4(3(2(4(0(0(4(1(2(x1)))))))))))) -> 2^1(3(1(2(3(2(4(5(2(5(5(4(x1))))))))))))
   4^1(0(0(4(3(2(4(0(0(4(1(2(x1)))))))))))) -> 3^1(1(2(3(2(4(5(2(5(5(4(x1)))))))))))
   4^1(0(0(4(3(2(4(0(0(4(1(2(x1)))))))))))) -> 1^1(2(3(2(4(5(2(5(5(4(x1))))))))))
   4^1(0(0(4(3(2(4(0(0(4(1(2(x1)))))))))))) -> 2^1(3(2(4(5(2(5(5(4(x1)))))))))
   4^1(0(0(4(3(2(4(0(0(4(1(2(x1)))))))))))) -> 3^1(2(4(5(2(5(5(4(x1))))))))
   4^1(0(0(4(3(2(4(0(0(4(1(2(x1)))))))))))) -> 2^1(4(5(2(5(5(4(x1)))))))
   4^1(0(0(4(3(2(4(0(0(4(1(2(x1)))))))))))) -> 4^1(5(2(5(5(4(x1))))))
   4^1(0(0(4(3(2(4(0(0(4(1(2(x1)))))))))))) -> 5^1(2(5(5(4(x1)))))
   4^1(0(0(4(3(2(4(0(0(4(1(2(x1)))))))))))) -> 2^1(5(5(4(x1))))
   4^1(0(0(4(3(2(4(0(0(4(1(2(x1)))))))))))) -> 5^1(5(4(x1)))
   4^1(0(0(4(3(2(4(0(0(4(1(2(x1)))))))))))) -> 5^1(4(x1))
   4^1(0(0(4(3(2(4(0(0(4(1(2(x1)))))))))))) -> 4^1(x1)
   5^1(1(1(0(2(0(0(1(0(0(3(2(x1)))))))))))) -> 2^1(4(5(5(2(1(2(5(4(4(1(2(5(3(2(x1)))))))))))))))
   5^1(1(1(0(2(0(0(1(0(0(3(2(x1)))))))))))) -> 4^1(5(5(2(1(2(5(4(4(1(2(5(3(2(x1))))))))))))))
   5^1(1(1(0(2(0(0(1(0(0(3(2(x1)))))))))))) -> 5^1(5(2(1(2(5(4(4(1(2(5(3(2(x1)))))))))))))
   5^1(1(1(0(2(0(0(1(0(0(3(2(x1)))))))))))) -> 5^1(2(1(2(5(4(4(1(2(5(3(2(x1))))))))))))
   5^1(1(1(0(2(0(0(1(0(0(3(2(x1)))))))))))) -> 2^1(1(2(5(4(4(1(2(5(3(2(x1)))))))))))
   5^1(1(1(0(2(0(0(1(0(0(3(2(x1)))))))))))) -> 1^1(2(5(4(4(1(2(5(3(2(x1))))))))))
   5^1(1(1(0(2(0(0(1(0(0(3(2(x1)))))))))))) -> 2^1(5(4(4(1(2(5(3(2(x1)))))))))
   5^1(1(1(0(2(0(0(1(0(0(3(2(x1)))))))))))) -> 5^1(4(4(1(2(5(3(2(x1))))))))
   5^1(1(1(0(2(0(0(1(0(0(3(2(x1)))))))))))) -> 4^1(4(1(2(5(3(2(x1)))))))
   5^1(1(1(0(2(0(0(1(0(0(3(2(x1)))))))))))) -> 4^1(1(2(5(3(2(x1))))))
   5^1(1(1(0(2(0(0(1(0(0(3(2(x1)))))))))))) -> 1^1(2(5(3(2(x1)))))
   5^1(1(1(0(2(0(0(1(0(0(3(2(x1)))))))))))) -> 2^1(5(3(2(x1))))
   5^1(1(1(0(2(0(0(1(0(0(3(2(x1)))))))))))) -> 5^1(3(2(x1)))
   3^1(5(2(5(1(4(3(0(1(0(3(2(x1)))))))))))) -> 1^1(5(2(2(2(2(4(2(2(4(1(2(1(5(4(0(x1))))))))))))))))
   3^1(5(2(5(1(4(3(0(1(0(3(2(x1)))))))))))) -> 5^1(2(2(2(2(4(2(2(4(1(2(1(5(4(0(x1)))))))))))))))
   3^1(5(2(5(1(4(3(0(1(0(3(2(x1)))))))))))) -> 2^1(2(2(2(4(2(2(4(1(2(1(5(4(0(x1))))))))))))))
   3^1(5(2(5(1(4(3(0(1(0(3(2(x1)))))))))))) -> 2^1(2(2(4(2(2(4(1(2(1(5(4(0(x1)))))))))))))
   3^1(5(2(5(1(4(3(0(1(0(3(2(x1)))))))))))) -> 2^1(2(4(2(2(4(1(2(1(5(4(0(x1))))))))))))
   3^1(5(2(5(1(4(3(0(1(0(3(2(x1)))))))))))) -> 2^1(4(2(2(4(1(2(1(5(4(0(x1)))))))))))
   3^1(5(2(5(1(4(3(0(1(0(3(2(x1)))))))))))) -> 4^1(2(2(4(1(2(1(5(4(0(x1))))))))))
   3^1(5(2(5(1(4(3(0(1(0(3(2(x1)))))))))))) -> 2^1(2(4(1(2(1(5(4(0(x1)))))))))
   3^1(5(2(5(1(4(3(0(1(0(3(2(x1)))))))))))) -> 2^1(4(1(2(1(5(4(0(x1))))))))
   3^1(5(2(5(1(4(3(0(1(0(3(2(x1)))))))))))) -> 1^1(2(1(5(4(0(x1))))))
   3^1(5(2(5(1(4(3(0(1(0(3(2(x1)))))))))))) -> 2^1(1(5(4(0(x1)))))
   3^1(5(2(5(1(4(3(0(1(0(3(2(x1)))))))))))) -> 5^1(4(0(x1)))
   3^1(5(2(5(1(4(3(0(1(0(3(2(x1)))))))))))) -> 4^1(0(x1))
   3^1(5(2(5(1(4(3(0(1(0(3(2(x1)))))))))))) -> 0^1(x1)
   0^1(1(0(4(5(5(1(5(1(3(3(2(x1)))))))))))) -> 2^1(4(2(2(4(1(2(3(4(5(0(4(2(1(x1))))))))))))))
   0^1(1(0(4(5(5(1(5(1(3(3(2(x1)))))))))))) -> 4^1(2(2(4(1(2(3(4(5(0(4(2(1(x1)))))))))))))
   0^1(1(0(4(5(5(1(5(1(3(3(2(x1)))))))))))) -> 2^1(2(4(1(2(3(4(5(0(4(2(1(x1))))))))))))
   0^1(1(0(4(5(5(1(5(1(3(3(2(x1)))))))))))) -> 2^1(4(1(2(3(4(5(0(4(2(1(x1)))))))))))
   0^1(1(0(4(5(5(1(5(1(3(3(2(x1)))))))))))) -> 4^1(1(2(3(4(5(0(4(2(1(x1))))))))))
   0^1(1(0(4(5(5(1(5(1(3(3(2(x1)))))))))))) -> 1^1(2(3(4(5(0(4(2(1(x1)))))))))
   0^1(1(0(4(5(5(1(5(1(3(3(2(x1)))))))))))) -> 2^1(3(4(5(0(4(2(1(x1))))))))
   0^1(1(0(4(5(5(1(5(1(3(3(2(x1)))))))))))) -> 3^1(4(5(0(4(2(1(x1)))))))
   0^1(1(0(4(5(5(1(5(1(3(3(2(x1)))))))))))) -> 4^1(5(0(4(2(1(x1))))))
   0^1(1(0(4(5(5(1(5(1(3(3(2(x1)))))))))))) -> 5^1(0(4(2(1(x1)))))
   0^1(1(0(4(5(5(1(5(1(3(3(2(x1)))))))))))) -> 0^1(4(2(1(x1))))
   0^1(1(0(4(5(5(1(5(1(3(3(2(x1)))))))))))) -> 4^1(2(1(x1)))
   0^1(1(0(4(5(5(1(5(1(3(3(2(x1)))))))))))) -> 2^1(1(x1))
   0^1(1(0(4(5(5(1(5(1(3(3(2(x1)))))))))))) -> 1^1(x1)
   4^1(5(0(5(5(0(0(5(5(5(3(2(x1)))))))))))) -> 4^1(0(5(2(5(2(2(2(2(1(5(0(2(0(5(x1)))))))))))))))
   4^1(5(0(5(5(0(0(5(5(5(3(2(x1)))))))))))) -> 0^1(5(2(5(2(2(2(2(1(5(0(2(0(5(x1))))))))))))))
   4^1(5(0(5(5(0(0(5(5(5(3(2(x1)))))))))))) -> 5^1(2(5(2(2(2(2(1(5(0(2(0(5(x1)))))))))))))
   4^1(5(0(5(5(0(0(5(5(5(3(2(x1)))))))))))) -> 2^1(5(2(2(2(2(1(5(0(2(0(5(x1))))))))))))
   4^1(5(0(5(5(0(0(5(5(5(3(2(x1)))))))))))) -> 5^1(2(2(2(2(1(5(0(2(0(5(x1)))))))))))
   4^1(5(0(5(5(0(0(5(5(5(3(2(x1)))))))))))) -> 2^1(2(2(2(1(5(0(2(0(5(x1))))))))))
   4^1(5(0(5(5(0(0(5(5(5(3(2(x1)))))))))))) -> 2^1(2(2(1(5(0(2(0(5(x1)))))))))
   4^1(5(0(5(5(0(0(5(5(5(3(2(x1)))))))))))) -> 2^1(2(1(5(0(2(0(5(x1))))))))
   4^1(5(0(5(5(0(0(5(5(5(3(2(x1)))))))))))) -> 2^1(1(5(0(2(0(5(x1)))))))
   4^1(5(0(5(5(0(0(5(5(5(3(2(x1)))))))))))) -> 1^1(5(0(2(0(5(x1))))))
   4^1(5(0(5(5(0(0(5(5(5(3(2(x1)))))))))))) -> 5^1(0(2(0(5(x1)))))
   4^1(5(0(5(5(0(0(5(5(5(3(2(x1)))))))))))) -> 0^1(2(0(5(x1))))
   4^1(5(0(5(5(0(0(5(5(5(3(2(x1)))))))))))) -> 2^1(0(5(x1)))
   4^1(5(0(5(5(0(0(5(5(5(3(2(x1)))))))))))) -> 0^1(5(x1))
   4^1(5(0(5(5(0(0(5(5(5(3(2(x1)))))))))))) -> 5^1(x1)
   4^1(3(3(5(1(5(0(5(3(5(4(2(x1)))))))))))) -> 2^1(2(2(4(2(5(3(1(3(1(0(5(2(2(x1))))))))))))))
   4^1(3(3(5(1(5(0(5(3(5(4(2(x1)))))))))))) -> 2^1(2(4(2(5(3(1(3(1(0(5(2(2(x1)))))))))))))
   4^1(3(3(5(1(5(0(5(3(5(4(2(x1)))))))))))) -> 2^1(4(2(5(3(1(3(1(0(5(2(2(x1))))))))))))
   4^1(3(3(5(1(5(0(5(3(5(4(2(x1)))))))))))) -> 4^1(2(5(3(1(3(1(0(5(2(2(x1)))))))))))
   4^1(3(3(5(1(5(0(5(3(5(4(2(x1)))))))))))) -> 2^1(5(3(1(3(1(0(5(2(2(x1))))))))))
   4^1(3(3(5(1(5(0(5(3(5(4(2(x1)))))))))))) -> 5^1(3(1(3(1(0(5(2(2(x1)))))))))
   4^1(3(3(5(1(5(0(5(3(5(4(2(x1)))))))))))) -> 3^1(1(3(1(0(5(2(2(x1))))))))
   4^1(3(3(5(1(5(0(5(3(5(4(2(x1)))))))))))) -> 1^1(3(1(0(5(2(2(x1)))))))
   4^1(3(3(5(1(5(0(5(3(5(4(2(x1)))))))))))) -> 3^1(1(0(5(2(2(x1))))))
   4^1(3(3(5(1(5(0(5(3(5(4(2(x1)))))))))))) -> 1^1(0(5(2(2(x1)))))
   4^1(3(3(5(1(5(0(5(3(5(4(2(x1)))))))))))) -> 0^1(5(2(2(x1))))
   4^1(3(3(5(1(5(0(5(3(5(4(2(x1)))))))))))) -> 5^1(2(2(x1)))
   4^1(3(3(5(1(5(0(5(3(5(4(2(x1)))))))))))) -> 2^1(2(x1))
   5^1(2(5(0(3(3(0(1(5(0(5(2(x1)))))))))))) -> 5^1(2(2(0(2(0(5(2(2(1(1(2(3(2(3(3(x1))))))))))))))))
   5^1(2(5(0(3(3(0(1(5(0(5(2(x1)))))))))))) -> 2^1(2(0(2(0(5(2(2(1(1(2(3(2(3(3(x1)))))))))))))))
   5^1(2(5(0(3(3(0(1(5(0(5(2(x1)))))))))))) -> 2^1(0(2(0(5(2(2(1(1(2(3(2(3(3(x1))))))))))))))
   5^1(2(5(0(3(3(0(1(5(0(5(2(x1)))))))))))) -> 0^1(2(0(5(2(2(1(1(2(3(2(3(3(x1)))))))))))))
   5^1(2(5(0(3(3(0(1(5(0(5(2(x1)))))))))))) -> 2^1(0(5(2(2(1(1(2(3(2(3(3(x1))))))))))))
   5^1(2(5(0(3(3(0(1(5(0(5(2(x1)))))))))))) -> 0^1(5(2(2(1(1(2(3(2(3(3(x1)))))))))))
   5^1(2(5(0(3(3(0(1(5(0(5(2(x1)))))))))))) -> 5^1(2(2(1(1(2(3(2(3(3(x1))))))))))
   5^1(2(5(0(3(3(0(1(5(0(5(2(x1)))))))))))) -> 2^1(2(1(1(2(3(2(3(3(x1)))))))))
   5^1(2(5(0(3(3(0(1(5(0(5(2(x1)))))))))))) -> 2^1(1(1(2(3(2(3(3(x1))))))))
   5^1(2(5(0(3(3(0(1(5(0(5(2(x1)))))))))))) -> 1^1(1(2(3(2(3(3(x1)))))))
   5^1(2(5(0(3(3(0(1(5(0(5(2(x1)))))))))))) -> 1^1(2(3(2(3(3(x1))))))
   5^1(2(5(0(3(3(0(1(5(0(5(2(x1)))))))))))) -> 2^1(3(2(3(3(x1)))))
   5^1(2(5(0(3(3(0(1(5(0(5(2(x1)))))))))))) -> 3^1(2(3(3(x1))))
   5^1(2(5(0(3(3(0(1(5(0(5(2(x1)))))))))))) -> 2^1(3(3(x1)))
   5^1(2(5(0(3(3(0(1(5(0(5(2(x1)))))))))))) -> 3^1(3(x1))
   5^1(2(5(0(3(3(0(1(5(0(5(2(x1)))))))))))) -> 3^1(x1)
   3^1(0(3(0(4(3(0(1(4(3(5(2(x1)))))))))))) -> 4^1(3(5(0(3(4(2(2(2(0(5(2(1(2(1(x1)))))))))))))))
   3^1(0(3(0(4(3(0(1(4(3(5(2(x1)))))))))))) -> 3^1(5(0(3(4(2(2(2(0(5(2(1(2(1(x1))))))))))))))
   3^1(0(3(0(4(3(0(1(4(3(5(2(x1)))))))))))) -> 5^1(0(3(4(2(2(2(0(5(2(1(2(1(x1)))))))))))))
   3^1(0(3(0(4(3(0(1(4(3(5(2(x1)))))))))))) -> 0^1(3(4(2(2(2(0(5(2(1(2(1(x1))))))))))))
   3^1(0(3(0(4(3(0(1(4(3(5(2(x1)))))))))))) -> 3^1(4(2(2(2(0(5(2(1(2(1(x1)))))))))))
   3^1(0(3(0(4(3(0(1(4(3(5(2(x1)))))))))))) -> 4^1(2(2(2(0(5(2(1(2(1(x1))))))))))
   3^1(0(3(0(4(3(0(1(4(3(5(2(x1)))))))))))) -> 2^1(2(2(0(5(2(1(2(1(x1)))))))))
   3^1(0(3(0(4(3(0(1(4(3(5(2(x1)))))))))))) -> 2^1(2(0(5(2(1(2(1(x1))))))))
   3^1(0(3(0(4(3(0(1(4(3(5(2(x1)))))))))))) -> 2^1(0(5(2(1(2(1(x1)))))))
   3^1(0(3(0(4(3(0(1(4(3(5(2(x1)))))))))))) -> 0^1(5(2(1(2(1(x1))))))
   3^1(0(3(0(4(3(0(1(4(3(5(2(x1)))))))))))) -> 5^1(2(1(2(1(x1)))))
   3^1(0(3(0(4(3(0(1(4(3(5(2(x1)))))))))))) -> 2^1(1(2(1(x1))))
   3^1(0(3(0(4(3(0(1(4(3(5(2(x1)))))))))))) -> 1^1(2(1(x1)))
   3^1(0(3(0(4(3(0(1(4(3(5(2(x1)))))))))))) -> 2^1(1(x1))
   3^1(0(3(0(4(3(0(1(4(3(5(2(x1)))))))))))) -> 1^1(x1)
   4^1(5(0(0(5(2(5(1(5(0(0(3(x1)))))))))))) -> 3^1(3(4(0(3(5(4(1(2(1(1(2(1(1(2(3(3(x1)))))))))))))))))
   4^1(5(0(0(5(2(5(1(5(0(0(3(x1)))))))))))) -> 3^1(4(0(3(5(4(1(2(1(1(2(1(1(2(3(3(x1))))))))))))))))
   4^1(5(0(0(5(2(5(1(5(0(0(3(x1)))))))))))) -> 4^1(0(3(5(4(1(2(1(1(2(1(1(2(3(3(x1)))))))))))))))
   4^1(5(0(0(5(2(5(1(5(0(0(3(x1)))))))))))) -> 0^1(3(5(4(1(2(1(1(2(1(1(2(3(3(x1))))))))))))))
   4^1(5(0(0(5(2(5(1(5(0(0(3(x1)))))))))))) -> 3^1(5(4(1(2(1(1(2(1(1(2(3(3(x1)))))))))))))
   4^1(5(0(0(5(2(5(1(5(0(0(3(x1)))))))))))) -> 5^1(4(1(2(1(1(2(1(1(2(3(3(x1))))))))))))
   4^1(5(0(0(5(2(5(1(5(0(0(3(x1)))))))))))) -> 4^1(1(2(1(1(2(1(1(2(3(3(x1)))))))))))
   4^1(5(0(0(5(2(5(1(5(0(0(3(x1)))))))))))) -> 1^1(2(1(1(2(1(1(2(3(3(x1))))))))))
   4^1(5(0(0(5(2(5(1(5(0(0(3(x1)))))))))))) -> 2^1(1(1(2(1(1(2(3(3(x1)))))))))
   4^1(5(0(0(5(2(5(1(5(0(0(3(x1)))))))))))) -> 1^1(1(2(1(1(2(3(3(x1))))))))
   4^1(5(0(0(5(2(5(1(5(0(0(3(x1)))))))))))) -> 1^1(2(1(1(2(3(3(x1)))))))
   4^1(5(0(0(5(2(5(1(5(0(0(3(x1)))))))))))) -> 2^1(1(1(2(3(3(x1))))))
   4^1(5(0(0(5(2(5(1(5(0(0(3(x1)))))))))))) -> 1^1(1(2(3(3(x1)))))
   4^1(5(0(0(5(2(5(1(5(0(0(3(x1)))))))))))) -> 1^1(2(3(3(x1))))
   4^1(5(0(0(5(2(5(1(5(0(0(3(x1)))))))))))) -> 2^1(3(3(x1)))
   4^1(5(0(0(5(2(5(1(5(0(0(3(x1)))))))))))) -> 3^1(3(x1))
   5^1(4(1(1(1(1(4(3(0(4(0(3(x1)))))))))))) -> 2^1(2(0(2(3(2(4(4(0(5(1(4(2(2(4(4(2(x1)))))))))))))))))
   5^1(4(1(1(1(1(4(3(0(4(0(3(x1)))))))))))) -> 2^1(0(2(3(2(4(4(0(5(1(4(2(2(4(4(2(x1))))))))))))))))
   5^1(4(1(1(1(1(4(3(0(4(0(3(x1)))))))))))) -> 0^1(2(3(2(4(4(0(5(1(4(2(2(4(4(2(x1)))))))))))))))
   5^1(4(1(1(1(1(4(3(0(4(0(3(x1)))))))))))) -> 2^1(3(2(4(4(0(5(1(4(2(2(4(4(2(x1))))))))))))))
   5^1(4(1(1(1(1(4(3(0(4(0(3(x1)))))))))))) -> 3^1(2(4(4(0(5(1(4(2(2(4(4(2(x1)))))))))))))
   5^1(4(1(1(1(1(4(3(0(4(0(3(x1)))))))))))) -> 2^1(4(4(0(5(1(4(2(2(4(4(2(x1))))))))))))
   5^1(4(1(1(1(1(4(3(0(4(0(3(x1)))))))))))) -> 4^1(4(0(5(1(4(2(2(4(4(2(x1)))))))))))
   5^1(4(1(1(1(1(4(3(0(4(0(3(x1)))))))))))) -> 4^1(0(5(1(4(2(2(4(4(2(x1))))))))))
   5^1(4(1(1(1(1(4(3(0(4(0(3(x1)))))))))))) -> 0^1(5(1(4(2(2(4(4(2(x1)))))))))
   5^1(4(1(1(1(1(4(3(0(4(0(3(x1)))))))))))) -> 5^1(1(4(2(2(4(4(2(x1))))))))
   5^1(4(1(1(1(1(4(3(0(4(0(3(x1)))))))))))) -> 1^1(4(2(2(4(4(2(x1)))))))
   5^1(4(1(1(1(1(4(3(0(4(0(3(x1)))))))))))) -> 4^1(2(2(4(4(2(x1))))))
   5^1(4(1(1(1(1(4(3(0(4(0(3(x1)))))))))))) -> 2^1(2(4(4(2(x1)))))
   5^1(4(1(1(1(1(4(3(0(4(0(3(x1)))))))))))) -> 2^1(4(4(2(x1))))
   5^1(4(1(1(1(1(4(3(0(4(0(3(x1)))))))))))) -> 4^1(4(2(x1)))
   5^1(4(1(1(1(1(4(3(0(4(0(3(x1)))))))))))) -> 4^1(2(x1))
   5^1(4(1(1(1(1(4(3(0(4(0(3(x1)))))))))))) -> 2^1(x1)
   3^1(4(1(1(4(5(0(0(1(4(0(3(x1)))))))))))) -> 4^1(3(5(2(3(0(2(1(5(4(2(2(2(3(3(x1)))))))))))))))
   3^1(4(1(1(4(5(0(0(1(4(0(3(x1)))))))))))) -> 3^1(5(2(3(0(2(1(5(4(2(2(2(3(3(x1))))))))))))))
   3^1(4(1(1(4(5(0(0(1(4(0(3(x1)))))))))))) -> 5^1(2(3(0(2(1(5(4(2(2(2(3(3(x1)))))))))))))
   3^1(4(1(1(4(5(0(0(1(4(0(3(x1)))))))))))) -> 2^1(3(0(2(1(5(4(2(2(2(3(3(x1))))))))))))
   3^1(4(1(1(4(5(0(0(1(4(0(3(x1)))))))))))) -> 3^1(0(2(1(5(4(2(2(2(3(3(x1)))))))))))
   3^1(4(1(1(4(5(0(0(1(4(0(3(x1)))))))))))) -> 0^1(2(1(5(4(2(2(2(3(3(x1))))))))))
   3^1(4(1(1(4(5(0(0(1(4(0(3(x1)))))))))))) -> 2^1(1(5(4(2(2(2(3(3(x1)))))))))
   3^1(4(1(1(4(5(0(0(1(4(0(3(x1)))))))))))) -> 1^1(5(4(2(2(2(3(3(x1))))))))
   3^1(4(1(1(4(5(0(0(1(4(0(3(x1)))))))))))) -> 5^1(4(2(2(2(3(3(x1)))))))
   3^1(4(1(1(4(5(0(0(1(4(0(3(x1)))))))))))) -> 4^1(2(2(2(3(3(x1))))))
   3^1(4(1(1(4(5(0(0(1(4(0(3(x1)))))))))))) -> 2^1(2(2(3(3(x1)))))
   3^1(4(1(1(4(5(0(0(1(4(0(3(x1)))))))))))) -> 2^1(2(3(3(x1))))
   3^1(4(1(1(4(5(0(0(1(4(0(3(x1)))))))))))) -> 2^1(3(3(x1)))
   3^1(4(1(1(4(5(0(0(1(4(0(3(x1)))))))))))) -> 3^1(3(x1))
   0^1(3(0(0(5(2(5(4(4(5(0(3(x1)))))))))))) -> 3^1(4(0(2(1(5(2(4(2(1(2(3(1(0(1(x1)))))))))))))))
   0^1(3(0(0(5(2(5(4(4(5(0(3(x1)))))))))))) -> 4^1(0(2(1(5(2(4(2(1(2(3(1(0(1(x1))))))))))))))
   0^1(3(0(0(5(2(5(4(4(5(0(3(x1)))))))))))) -> 0^1(2(1(5(2(4(2(1(2(3(1(0(1(x1)))))))))))))
   0^1(3(0(0(5(2(5(4(4(5(0(3(x1)))))))))))) -> 2^1(1(5(2(4(2(1(2(3(1(0(1(x1))))))))))))
   0^1(3(0(0(5(2(5(4(4(5(0(3(x1)))))))))))) -> 1^1(5(2(4(2(1(2(3(1(0(1(x1)))))))))))
   0^1(3(0(0(5(2(5(4(4(5(0(3(x1)))))))))))) -> 5^1(2(4(2(1(2(3(1(0(1(x1))))))))))
   0^1(3(0(0(5(2(5(4(4(5(0(3(x1)))))))))))) -> 2^1(4(2(1(2(3(1(0(1(x1)))))))))
   0^1(3(0(0(5(2(5(4(4(5(0(3(x1)))))))))))) -> 4^1(2(1(2(3(1(0(1(x1))))))))
   0^1(3(0(0(5(2(5(4(4(5(0(3(x1)))))))))))) -> 2^1(1(2(3(1(0(1(x1)))))))
   0^1(3(0(0(5(2(5(4(4(5(0(3(x1)))))))))))) -> 1^1(2(3(1(0(1(x1))))))
   0^1(3(0(0(5(2(5(4(4(5(0(3(x1)))))))))))) -> 2^1(3(1(0(1(x1)))))
   0^1(3(0(0(5(2(5(4(4(5(0(3(x1)))))))))))) -> 3^1(1(0(1(x1))))
   0^1(3(0(0(5(2(5(4(4(5(0(3(x1)))))))))))) -> 1^1(0(1(x1)))
   0^1(3(0(0(5(2(5(4(4(5(0(3(x1)))))))))))) -> 0^1(1(x1))
   0^1(3(0(0(5(2(5(4(4(5(0(3(x1)))))))))))) -> 1^1(x1)
   4^1(4(0(0(5(0(2(2(4(1(1(3(x1)))))))))))) -> 0^1(2(1(5(2(3(1(5(3(3(3(4(5(2(x1))))))))))))))
   4^1(4(0(0(5(0(2(2(4(1(1(3(x1)))))))))))) -> 2^1(1(5(2(3(1(5(3(3(3(4(5(2(x1)))))))))))))
   4^1(4(0(0(5(0(2(2(4(1(1(3(x1)))))))))))) -> 5^1(2(3(1(5(3(3(3(4(5(2(x1)))))))))))
   4^1(4(0(0(5(0(2(2(4(1(1(3(x1)))))))))))) -> 2^1(3(1(5(3(3(3(4(5(2(x1))))))))))
   4^1(4(0(0(5(0(2(2(4(1(1(3(x1)))))))))))) -> 3^1(1(5(3(3(3(4(5(2(x1)))))))))
   4^1(4(0(0(5(0(2(2(4(1(1(3(x1)))))))))))) -> 1^1(5(3(3(3(4(5(2(x1))))))))
   4^1(4(0(0(5(0(2(2(4(1(1(3(x1)))))))))))) -> 5^1(3(3(3(4(5(2(x1)))))))
   4^1(4(0(0(5(0(2(2(4(1(1(3(x1)))))))))))) -> 3^1(3(3(4(5(2(x1))))))
   4^1(4(0(0(5(0(2(2(4(1(1(3(x1)))))))))))) -> 3^1(3(4(5(2(x1)))))
   4^1(4(0(0(5(0(2(2(4(1(1(3(x1)))))))))))) -> 3^1(4(5(2(x1))))
   4^1(4(0(0(5(0(2(2(4(1(1(3(x1)))))))))))) -> 4^1(5(2(x1)))
   4^1(4(0(0(5(0(2(2(4(1(1(3(x1)))))))))))) -> 5^1(2(x1))
   4^1(4(0(0(5(0(2(2(4(1(1(3(x1)))))))))))) -> 2^1(x1)
   2^1(2(3(0(3(0(1(1(4(0(3(3(x1)))))))))))) -> 2^1(2(2(0(2(2(1(3(1(5(2(4(2(2(4(5(3(x1)))))))))))))))))
   2^1(2(3(0(3(0(1(1(4(0(3(3(x1)))))))))))) -> 2^1(2(0(2(2(1(3(1(5(2(4(2(2(4(5(3(x1))))))))))))))))
   2^1(2(3(0(3(0(1(1(4(0(3(3(x1)))))))))))) -> 2^1(0(2(2(1(3(1(5(2(4(2(2(4(5(3(x1)))))))))))))))
   2^1(2(3(0(3(0(1(1(4(0(3(3(x1)))))))))))) -> 0^1(2(2(1(3(1(5(2(4(2(2(4(5(3(x1))))))))))))))
   2^1(2(3(0(3(0(1(1(4(0(3(3(x1)))))))))))) -> 2^1(2(1(3(1(5(2(4(2(2(4(5(3(x1)))))))))))))
   2^1(2(3(0(3(0(1(1(4(0(3(3(x1)))))))))))) -> 2^1(1(3(1(5(2(4(2(2(4(5(3(x1))))))))))))
   2^1(2(3(0(3(0(1(1(4(0(3(3(x1)))))))))))) -> 1^1(3(1(5(2(4(2(2(4(5(3(x1)))))))))))
   2^1(2(3(0(3(0(1(1(4(0(3(3(x1)))))))))))) -> 3^1(1(5(2(4(2(2(4(5(3(x1))))))))))
   2^1(2(3(0(3(0(1(1(4(0(3(3(x1)))))))))))) -> 1^1(5(2(4(2(2(4(5(3(x1)))))))))
   2^1(2(3(0(3(0(1(1(4(0(3(3(x1)))))))))))) -> 5^1(2(4(2(2(4(5(3(x1))))))))
   2^1(2(3(0(3(0(1(1(4(0(3(3(x1)))))))))))) -> 2^1(4(2(2(4(5(3(x1)))))))
   2^1(2(3(0(3(0(1(1(4(0(3(3(x1)))))))))))) -> 4^1(2(2(4(5(3(x1))))))
   2^1(2(3(0(3(0(1(1(4(0(3(3(x1)))))))))))) -> 2^1(2(4(5(3(x1)))))
   2^1(2(3(0(3(0(1(1(4(0(3(3(x1)))))))))))) -> 2^1(4(5(3(x1))))
   2^1(2(3(0(3(0(1(1(4(0(3(3(x1)))))))))))) -> 4^1(5(3(x1)))
   2^1(2(3(0(3(0(1(1(4(0(3(3(x1)))))))))))) -> 5^1(3(x1))
   5^1(3(0(3(2(5(0(2(3(4(3(3(x1)))))))))))) -> 1^1(2(1(2(1(2(1(4(1(2(1(0(2(2(2(4(x1))))))))))))))))
   5^1(3(0(3(2(5(0(2(3(4(3(3(x1)))))))))))) -> 2^1(1(2(1(2(1(4(1(2(1(0(2(2(2(4(x1)))))))))))))))
   5^1(3(0(3(2(5(0(2(3(4(3(3(x1)))))))))))) -> 1^1(2(1(2(1(4(1(2(1(0(2(2(2(4(x1))))))))))))))
   5^1(3(0(3(2(5(0(2(3(4(3(3(x1)))))))))))) -> 2^1(1(2(1(4(1(2(1(0(2(2(2(4(x1)))))))))))))
   5^1(3(0(3(2(5(0(2(3(4(3(3(x1)))))))))))) -> 1^1(2(1(4(1(2(1(0(2(2(2(4(x1))))))))))))
   5^1(3(0(3(2(5(0(2(3(4(3(3(x1)))))))))))) -> 2^1(1(4(1(2(1(0(2(2(2(4(x1)))))))))))
   5^1(3(0(3(2(5(0(2(3(4(3(3(x1)))))))))))) -> 1^1(4(1(2(1(0(2(2(2(4(x1))))))))))
   5^1(3(0(3(2(5(0(2(3(4(3(3(x1)))))))))))) -> 4^1(1(2(1(0(2(2(2(4(x1)))))))))
   5^1(3(0(3(2(5(0(2(3(4(3(3(x1)))))))))))) -> 1^1(2(1(0(2(2(2(4(x1))))))))
   5^1(3(0(3(2(5(0(2(3(4(3(3(x1)))))))))))) -> 2^1(1(0(2(2(2(4(x1)))))))
   5^1(3(0(3(2(5(0(2(3(4(3(3(x1)))))))))))) -> 1^1(0(2(2(2(4(x1))))))
   5^1(3(0(3(2(5(0(2(3(4(3(3(x1)))))))))))) -> 0^1(2(2(2(4(x1)))))
   5^1(3(0(3(2(5(0(2(3(4(3(3(x1)))))))))))) -> 2^1(2(2(4(x1))))
   5^1(3(0(3(2(5(0(2(3(4(3(3(x1)))))))))))) -> 2^1(2(4(x1)))
   5^1(3(0(3(2(5(0(2(3(4(3(3(x1)))))))))))) -> 2^1(4(x1))
   5^1(3(0(3(2(5(0(2(3(4(3(3(x1)))))))))))) -> 4^1(x1)
   0^1(2(2(4(0(0(1(3(3(4(3(3(x1)))))))))))) -> 1^1(0(1(2(3(3(2(2(3(2(2(3(1(2(2(5(x1))))))))))))))))
   0^1(2(2(4(0(0(1(3(3(4(3(3(x1)))))))))))) -> 0^1(1(2(3(3(2(2(3(2(2(3(1(2(2(5(x1)))))))))))))))
   0^1(2(2(4(0(0(1(3(3(4(3(3(x1)))))))))))) -> 1^1(2(3(3(2(2(3(2(2(3(1(2(2(5(x1))))))))))))))
   0^1(2(2(4(0(0(1(3(3(4(3(3(x1)))))))))))) -> 2^1(3(3(2(2(3(2(2(3(1(2(2(5(x1)))))))))))))
   0^1(2(2(4(0(0(1(3(3(4(3(3(x1)))))))))))) -> 3^1(3(2(2(3(2(2(3(1(2(2(5(x1))))))))))))
   0^1(2(2(4(0(0(1(3(3(4(3(3(x1)))))))))))) -> 3^1(2(2(3(2(2(3(1(2(2(5(x1)))))))))))
   0^1(2(2(4(0(0(1(3(3(4(3(3(x1)))))))))))) -> 2^1(2(3(2(2(3(1(2(2(5(x1))))))))))
   0^1(2(2(4(0(0(1(3(3(4(3(3(x1)))))))))))) -> 2^1(3(2(2(3(1(2(2(5(x1)))))))))
   0^1(2(2(4(0(0(1(3(3(4(3(3(x1)))))))))))) -> 3^1(2(2(3(1(2(2(5(x1))))))))
   0^1(2(2(4(0(0(1(3(3(4(3(3(x1)))))))))))) -> 2^1(2(3(1(2(2(5(x1)))))))
   0^1(2(2(4(0(0(1(3(3(4(3(3(x1)))))))))))) -> 2^1(3(1(2(2(5(x1))))))
   0^1(2(2(4(0(0(1(3(3(4(3(3(x1)))))))))))) -> 3^1(1(2(2(5(x1)))))
   0^1(2(2(4(0(0(1(3(3(4(3(3(x1)))))))))))) -> 1^1(2(2(5(x1))))
   0^1(2(2(4(0(0(1(3(3(4(3(3(x1)))))))))))) -> 2^1(2(5(x1)))
   0^1(2(2(4(0(0(1(3(3(4(3(3(x1)))))))))))) -> 2^1(5(x1))
   0^1(2(2(4(0(0(1(3(3(4(3(3(x1)))))))))))) -> 5^1(x1)
   0^1(2(3(5(5(1(1(1(5(0(4(3(x1)))))))))))) -> 1^1(5(2(2(5(1(2(4(1(2(5(2(2(2(0(2(3(3(x1))))))))))))))))))
   0^1(2(3(5(5(1(1(1(5(0(4(3(x1)))))))))))) -> 5^1(2(2(5(1(2(4(1(2(5(2(2(2(0(2(3(3(x1)))))))))))))))))
   0^1(2(3(5(5(1(1(1(5(0(4(3(x1)))))))))))) -> 2^1(2(5(1(2(4(1(2(5(2(2(2(0(2(3(3(x1))))))))))))))))
   0^1(2(3(5(5(1(1(1(5(0(4(3(x1)))))))))))) -> 2^1(5(1(2(4(1(2(5(2(2(2(0(2(3(3(x1)))))))))))))))
   0^1(2(3(5(5(1(1(1(5(0(4(3(x1)))))))))))) -> 5^1(1(2(4(1(2(5(2(2(2(0(2(3(3(x1))))))))))))))
   0^1(2(3(5(5(1(1(1(5(0(4(3(x1)))))))))))) -> 1^1(2(4(1(2(5(2(2(2(0(2(3(3(x1)))))))))))))
   0^1(2(3(5(5(1(1(1(5(0(4(3(x1)))))))))))) -> 2^1(4(1(2(5(2(2(2(0(2(3(3(x1))))))))))))
   0^1(2(3(5(5(1(1(1(5(0(4(3(x1)))))))))))) -> 4^1(1(2(5(2(2(2(0(2(3(3(x1)))))))))))
   0^1(2(3(5(5(1(1(1(5(0(4(3(x1)))))))))))) -> 1^1(2(5(2(2(2(0(2(3(3(x1))))))))))
   0^1(2(3(5(5(1(1(1(5(0(4(3(x1)))))))))))) -> 2^1(5(2(2(2(0(2(3(3(x1)))))))))
   0^1(2(3(5(5(1(1(1(5(0(4(3(x1)))))))))))) -> 5^1(2(2(2(0(2(3(3(x1))))))))
   0^1(2(3(5(5(1(1(1(5(0(4(3(x1)))))))))))) -> 2^1(2(2(0(2(3(3(x1)))))))
   0^1(2(3(5(5(1(1(1(5(0(4(3(x1)))))))))))) -> 2^1(2(0(2(3(3(x1))))))
   0^1(2(3(5(5(1(1(1(5(0(4(3(x1)))))))))))) -> 2^1(0(2(3(3(x1)))))
   0^1(2(3(5(5(1(1(1(5(0(4(3(x1)))))))))))) -> 0^1(2(3(3(x1))))
   0^1(2(3(5(5(1(1(1(5(0(4(3(x1)))))))))))) -> 2^1(3(3(x1)))
   0^1(2(3(5(5(1(1(1(5(0(4(3(x1)))))))))))) -> 3^1(3(x1))
   5^1(3(0(3(3(3(5(4(4(1(4(3(x1)))))))))))) -> 3^1(2(4(1(2(4(2(2(4(2(1(5(2(1(4(2(x1))))))))))))))))
   5^1(3(0(3(3(3(5(4(4(1(4(3(x1)))))))))))) -> 2^1(4(1(2(4(2(2(4(2(1(5(2(1(4(2(x1)))))))))))))))
   5^1(3(0(3(3(3(5(4(4(1(4(3(x1)))))))))))) -> 4^1(1(2(4(2(2(4(2(1(5(2(1(4(2(x1))))))))))))))
   5^1(3(0(3(3(3(5(4(4(1(4(3(x1)))))))))))) -> 1^1(2(4(2(2(4(2(1(5(2(1(4(2(x1)))))))))))))
   5^1(3(0(3(3(3(5(4(4(1(4(3(x1)))))))))))) -> 2^1(4(2(2(4(2(1(5(2(1(4(2(x1))))))))))))
   5^1(3(0(3(3(3(5(4(4(1(4(3(x1)))))))))))) -> 4^1(2(2(4(2(1(5(2(1(4(2(x1)))))))))))
   5^1(3(0(3(3(3(5(4(4(1(4(3(x1)))))))))))) -> 2^1(2(4(2(1(5(2(1(4(2(x1))))))))))
   5^1(3(0(3(3(3(5(4(4(1(4(3(x1)))))))))))) -> 2^1(4(2(1(5(2(1(4(2(x1)))))))))
   5^1(3(0(3(3(3(5(4(4(1(4(3(x1)))))))))))) -> 4^1(2(1(5(2(1(4(2(x1))))))))
   5^1(3(0(3(3(3(5(4(4(1(4(3(x1)))))))))))) -> 2^1(1(5(2(1(4(2(x1)))))))
   5^1(3(0(3(3(3(5(4(4(1(4(3(x1)))))))))))) -> 1^1(5(2(1(4(2(x1))))))
   5^1(3(0(3(3(3(5(4(4(1(4(3(x1)))))))))))) -> 5^1(2(1(4(2(x1)))))
   5^1(3(0(3(3(3(5(4(4(1(4(3(x1)))))))))))) -> 2^1(1(4(2(x1))))
   5^1(3(0(3(3(3(5(4(4(1(4(3(x1)))))))))))) -> 1^1(4(2(x1)))
   5^1(3(0(3(3(3(5(4(4(1(4(3(x1)))))))))))) -> 4^1(2(x1))
   5^1(3(0(3(3(3(5(4(4(1(4(3(x1)))))))))))) -> 2^1(x1)
   4^1(4(5(4(1(4(5(1(5(3(4(3(x1)))))))))))) -> 1^1(5(4(4(2(3(3(2(3(2(1(2(4(2(4(2(1(x1)))))))))))))))))
   4^1(4(5(4(1(4(5(1(5(3(4(3(x1)))))))))))) -> 5^1(4(4(2(3(3(2(3(2(1(2(4(2(4(2(1(x1))))))))))))))))
   4^1(4(5(4(1(4(5(1(5(3(4(3(x1)))))))))))) -> 4^1(4(2(3(3(2(3(2(1(2(4(2(4(2(1(x1)))))))))))))))
   4^1(4(5(4(1(4(5(1(5(3(4(3(x1)))))))))))) -> 4^1(2(3(3(2(3(2(1(2(4(2(4(2(1(x1))))))))))))))
   4^1(4(5(4(1(4(5(1(5(3(4(3(x1)))))))))))) -> 2^1(3(3(2(3(2(1(2(4(2(4(2(1(x1)))))))))))))
   4^1(4(5(4(1(4(5(1(5(3(4(3(x1)))))))))))) -> 3^1(3(2(3(2(1(2(4(2(4(2(1(x1))))))))))))
   4^1(4(5(4(1(4(5(1(5(3(4(3(x1)))))))))))) -> 3^1(2(3(2(1(2(4(2(4(2(1(x1)))))))))))
   4^1(4(5(4(1(4(5(1(5(3(4(3(x1)))))))))))) -> 2^1(3(2(1(2(4(2(4(2(1(x1))))))))))
   4^1(4(5(4(1(4(5(1(5(3(4(3(x1)))))))))))) -> 3^1(2(1(2(4(2(4(2(1(x1)))))))))
   4^1(4(5(4(1(4(5(1(5(3(4(3(x1)))))))))))) -> 2^1(1(2(4(2(4(2(1(x1))))))))
   4^1(4(5(4(1(4(5(1(5(3(4(3(x1)))))))))))) -> 1^1(2(4(2(4(2(1(x1)))))))
   4^1(4(5(4(1(4(5(1(5(3(4(3(x1)))))))))))) -> 2^1(4(2(4(2(1(x1))))))
   4^1(4(5(4(1(4(5(1(5(3(4(3(x1)))))))))))) -> 4^1(2(4(2(1(x1)))))
   4^1(4(5(4(1(4(5(1(5(3(4(3(x1)))))))))))) -> 2^1(4(2(1(x1))))
   4^1(4(5(4(1(4(5(1(5(3(4(3(x1)))))))))))) -> 4^1(2(1(x1)))
   4^1(4(5(4(1(4(5(1(5(3(4(3(x1)))))))))))) -> 2^1(1(x1))
   4^1(4(5(4(1(4(5(1(5(3(4(3(x1)))))))))))) -> 1^1(x1)
   0^1(5(4(5(0(4(4(4(0(0(5(3(x1)))))))))))) -> 3^1(1(2(3(3(2(2(3(5(4(3(4(0(1(4(x1)))))))))))))))
   0^1(5(4(5(0(4(4(4(0(0(5(3(x1)))))))))))) -> 1^1(2(3(3(2(2(3(5(4(3(4(0(1(4(x1))))))))))))))
   0^1(5(4(5(0(4(4(4(0(0(5(3(x1)))))))))))) -> 2^1(3(3(2(2(3(5(4(3(4(0(1(4(x1)))))))))))))
   0^1(5(4(5(0(4(4(4(0(0(5(3(x1)))))))))))) -> 3^1(3(2(2(3(5(4(3(4(0(1(4(x1))))))))))))
   0^1(5(4(5(0(4(4(4(0(0(5(3(x1)))))))))))) -> 3^1(2(2(3(5(4(3(4(0(1(4(x1)))))))))))
   0^1(5(4(5(0(4(4(4(0(0(5(3(x1)))))))))))) -> 2^1(2(3(5(4(3(4(0(1(4(x1))))))))))
   0^1(5(4(5(0(4(4(4(0(0(5(3(x1)))))))))))) -> 2^1(3(5(4(3(4(0(1(4(x1)))))))))
   0^1(5(4(5(0(4(4(4(0(0(5(3(x1)))))))))))) -> 3^1(5(4(3(4(0(1(4(x1))))))))
   0^1(5(4(5(0(4(4(4(0(0(5(3(x1)))))))))))) -> 5^1(4(3(4(0(1(4(x1)))))))
   0^1(5(4(5(0(4(4(4(0(0(5(3(x1)))))))))))) -> 4^1(3(4(0(1(4(x1))))))
   0^1(5(4(5(0(4(4(4(0(0(5(3(x1)))))))))))) -> 3^1(4(0(1(4(x1)))))
   0^1(5(4(5(0(4(4(4(0(0(5(3(x1)))))))))))) -> 4^1(0(1(4(x1))))
   0^1(5(4(5(0(4(4(4(0(0(5(3(x1)))))))))))) -> 0^1(1(4(x1)))
   0^1(5(4(5(0(4(4(4(0(0(5(3(x1)))))))))))) -> 1^1(4(x1))
   0^1(5(4(5(0(4(4(4(0(0(5(3(x1)))))))))))) -> 4^1(x1)
   3^1(0(5(0(5(0(0(5(5(1(5(3(x1)))))))))))) -> 1^1(2(2(1(1(0(1(2(2(2(0(5(5(3(2(0(x1))))))))))))))))
   3^1(0(5(0(5(0(0(5(5(1(5(3(x1)))))))))))) -> 2^1(2(1(1(0(1(2(2(2(0(5(5(3(2(0(x1)))))))))))))))
   3^1(0(5(0(5(0(0(5(5(1(5(3(x1)))))))))))) -> 2^1(1(1(0(1(2(2(2(0(5(5(3(2(0(x1))))))))))))))
   3^1(0(5(0(5(0(0(5(5(1(5(3(x1)))))))))))) -> 1^1(1(0(1(2(2(2(0(5(5(3(2(0(x1)))))))))))))
   3^1(0(5(0(5(0(0(5(5(1(5(3(x1)))))))))))) -> 1^1(0(1(2(2(2(0(5(5(3(2(0(x1))))))))))))
   3^1(0(5(0(5(0(0(5(5(1(5(3(x1)))))))))))) -> 0^1(1(2(2(2(0(5(5(3(2(0(x1)))))))))))
   3^1(0(5(0(5(0(0(5(5(1(5(3(x1)))))))))))) -> 1^1(2(2(2(0(5(5(3(2(0(x1))))))))))
   3^1(0(5(0(5(0(0(5(5(1(5(3(x1)))))))))))) -> 2^1(2(2(0(5(5(3(2(0(x1)))))))))
   3^1(0(5(0(5(0(0(5(5(1(5(3(x1)))))))))))) -> 2^1(2(0(5(5(3(2(0(x1))))))))
   3^1(0(5(0(5(0(0(5(5(1(5(3(x1)))))))))))) -> 2^1(0(5(5(3(2(0(x1)))))))
   3^1(0(5(0(5(0(0(5(5(1(5(3(x1)))))))))))) -> 0^1(5(5(3(2(0(x1))))))
   3^1(0(5(0(5(0(0(5(5(1(5(3(x1)))))))))))) -> 5^1(5(3(2(0(x1)))))
   3^1(0(5(0(5(0(0(5(5(1(5(3(x1)))))))))))) -> 5^1(3(2(0(x1))))
   3^1(0(5(0(5(0(0(5(5(1(5(3(x1)))))))))))) -> 3^1(2(0(x1)))
   3^1(0(5(0(5(0(0(5(5(1(5(3(x1)))))))))))) -> 2^1(0(x1))
   3^1(0(5(0(5(0(0(5(5(1(5(3(x1)))))))))))) -> 0^1(x1)
   0^1(0(4(1(3(0(5(5(5(3(5(3(x1)))))))))))) -> 2^1(1(2(4(0(0(2(2(2(2(2(0(1(4(5(2(5(x1)))))))))))))))))
   0^1(0(4(1(3(0(5(5(5(3(5(3(x1)))))))))))) -> 1^1(2(4(0(0(2(2(2(2(2(0(1(4(5(2(5(x1))))))))))))))))
   0^1(0(4(1(3(0(5(5(5(3(5(3(x1)))))))))))) -> 2^1(4(0(0(2(2(2(2(2(0(1(4(5(2(5(x1)))))))))))))))
   0^1(0(4(1(3(0(5(5(5(3(5(3(x1)))))))))))) -> 4^1(0(0(2(2(2(2(2(0(1(4(5(2(5(x1))))))))))))))
   0^1(0(4(1(3(0(5(5(5(3(5(3(x1)))))))))))) -> 0^1(0(2(2(2(2(2(0(1(4(5(2(5(x1)))))))))))))
   0^1(0(4(1(3(0(5(5(5(3(5(3(x1)))))))))))) -> 0^1(2(2(2(2(2(0(1(4(5(2(5(x1))))))))))))
   0^1(0(4(1(3(0(5(5(5(3(5(3(x1)))))))))))) -> 2^1(2(2(2(2(0(1(4(5(2(5(x1)))))))))))
   0^1(0(4(1(3(0(5(5(5(3(5(3(x1)))))))))))) -> 2^1(2(2(2(0(1(4(5(2(5(x1))))))))))
   0^1(0(4(1(3(0(5(5(5(3(5(3(x1)))))))))))) -> 2^1(2(2(0(1(4(5(2(5(x1)))))))))
   0^1(0(4(1(3(0(5(5(5(3(5(3(x1)))))))))))) -> 2^1(2(0(1(4(5(2(5(x1))))))))
   0^1(0(4(1(3(0(5(5(5(3(5(3(x1)))))))))))) -> 2^1(0(1(4(5(2(5(x1)))))))
   0^1(0(4(1(3(0(5(5(5(3(5(3(x1)))))))))))) -> 0^1(1(4(5(2(5(x1))))))
   0^1(0(4(1(3(0(5(5(5(3(5(3(x1)))))))))))) -> 1^1(4(5(2(5(x1)))))
   0^1(0(4(1(3(0(5(5(5(3(5(3(x1)))))))))))) -> 4^1(5(2(5(x1))))
   0^1(0(4(1(3(0(5(5(5(3(5(3(x1)))))))))))) -> 5^1(2(5(x1)))
   0^1(0(4(1(3(0(5(5(5(3(5(3(x1)))))))))))) -> 2^1(5(x1))
   0^1(0(4(1(3(0(5(5(5(3(5(3(x1)))))))))))) -> 5^1(x1)
   1^1(1(1(3(0(0(4(3(3(5(5(3(x1)))))))))))) -> 0^1(2(4(2(2(1(5(2(2(3(0(2(1(2(1(x1)))))))))))))))
   1^1(1(1(3(0(0(4(3(3(5(5(3(x1)))))))))))) -> 2^1(4(2(2(1(5(2(2(3(0(2(1(2(1(x1))))))))))))))
   1^1(1(1(3(0(0(4(3(3(5(5(3(x1)))))))))))) -> 4^1(2(2(1(5(2(2(3(0(2(1(2(1(x1)))))))))))))
   1^1(1(1(3(0(0(4(3(3(5(5(3(x1)))))))))))) -> 2^1(2(1(5(2(2(3(0(2(1(2(1(x1))))))))))))
   1^1(1(1(3(0(0(4(3(3(5(5(3(x1)))))))))))) -> 2^1(1(5(2(2(3(0(2(1(2(1(x1)))))))))))
   1^1(1(1(3(0(0(4(3(3(5(5(3(x1)))))))))))) -> 1^1(5(2(2(3(0(2(1(2(1(x1))))))))))
   1^1(1(1(3(0(0(4(3(3(5(5(3(x1)))))))))))) -> 5^1(2(2(3(0(2(1(2(1(x1)))))))))
   1^1(1(1(3(0(0(4(3(3(5(5(3(x1)))))))))))) -> 2^1(2(3(0(2(1(2(1(x1))))))))
   1^1(1(1(3(0(0(4(3(3(5(5(3(x1)))))))))))) -> 2^1(3(0(2(1(2(1(x1)))))))
   1^1(1(1(3(0(0(4(3(3(5(5(3(x1)))))))))))) -> 3^1(0(2(1(2(1(x1))))))
   1^1(1(1(3(0(0(4(3(3(5(5(3(x1)))))))))))) -> 0^1(2(1(2(1(x1)))))
   1^1(1(1(3(0(0(4(3(3(5(5(3(x1)))))))))))) -> 2^1(1(2(1(x1))))
   1^1(1(1(3(0(0(4(3(3(5(5(3(x1)))))))))))) -> 1^1(2(1(x1)))
   1^1(1(1(3(0(0(4(3(3(5(5(3(x1)))))))))))) -> 2^1(1(x1))
   1^1(1(1(3(0(0(4(3(3(5(5(3(x1)))))))))))) -> 1^1(x1)
   2^1(2(4(1(5(1(5(1(4(5(5(3(x1)))))))))))) -> 2^1(2(2(3(4(1(3(2(2(1(3(2(4(4(2(4(x1))))))))))))))))
   2^1(2(4(1(5(1(5(1(4(5(5(3(x1)))))))))))) -> 2^1(2(3(4(1(3(2(2(1(3(2(4(4(2(4(x1)))))))))))))))
   2^1(2(4(1(5(1(5(1(4(5(5(3(x1)))))))))))) -> 2^1(3(4(1(3(2(2(1(3(2(4(4(2(4(x1))))))))))))))
   2^1(2(4(1(5(1(5(1(4(5(5(3(x1)))))))))))) -> 3^1(4(1(3(2(2(1(3(2(4(4(2(4(x1)))))))))))))
   2^1(2(4(1(5(1(5(1(4(5(5(3(x1)))))))))))) -> 4^1(1(3(2(2(1(3(2(4(4(2(4(x1))))))))))))
   2^1(2(4(1(5(1(5(1(4(5(5(3(x1)))))))))))) -> 1^1(3(2(2(1(3(2(4(4(2(4(x1)))))))))))
   2^1(2(4(1(5(1(5(1(4(5(5(3(x1)))))))))))) -> 3^1(2(2(1(3(2(4(4(2(4(x1))))))))))
   2^1(2(4(1(5(1(5(1(4(5(5(3(x1)))))))))))) -> 2^1(2(1(3(2(4(4(2(4(x1)))))))))
   2^1(2(4(1(5(1(5(1(4(5(5(3(x1)))))))))))) -> 2^1(1(3(2(4(4(2(4(x1))))))))
   2^1(2(4(1(5(1(5(1(4(5(5(3(x1)))))))))))) -> 1^1(3(2(4(4(2(4(x1)))))))
   2^1(2(4(1(5(1(5(1(4(5(5(3(x1)))))))))))) -> 3^1(2(4(4(2(4(x1))))))
   2^1(2(4(1(5(1(5(1(4(5(5(3(x1)))))))))))) -> 2^1(4(4(2(4(x1)))))
   2^1(2(4(1(5(1(5(1(4(5(5(3(x1)))))))))))) -> 4^1(4(2(4(x1))))
   2^1(2(4(1(5(1(5(1(4(5(5(3(x1)))))))))))) -> 4^1(2(4(x1)))
   2^1(2(4(1(5(1(5(1(4(5(5(3(x1)))))))))))) -> 2^1(4(x1))
   2^1(2(4(1(5(1(5(1(4(5(5(3(x1)))))))))))) -> 4^1(x1)
   0^1(1(5(5(3(0(1(1(3(0(0(4(x1)))))))))))) -> 1^1(2(2(1(5(3(2(5(0(1(2(1(2(2(4(5(2(x1)))))))))))))))))
   0^1(1(5(5(3(0(1(1(3(0(0(4(x1)))))))))))) -> 2^1(2(1(5(3(2(5(0(1(2(1(2(2(4(5(2(x1))))))))))))))))
   0^1(1(5(5(3(0(1(1(3(0(0(4(x1)))))))))))) -> 2^1(1(5(3(2(5(0(1(2(1(2(2(4(5(2(x1)))))))))))))))
   0^1(1(5(5(3(0(1(1(3(0(0(4(x1)))))))))))) -> 1^1(5(3(2(5(0(1(2(1(2(2(4(5(2(x1))))))))))))))
   0^1(1(5(5(3(0(1(1(3(0(0(4(x1)))))))))))) -> 5^1(3(2(5(0(1(2(1(2(2(4(5(2(x1)))))))))))))
   0^1(1(5(5(3(0(1(1(3(0(0(4(x1)))))))))))) -> 3^1(2(5(0(1(2(1(2(2(4(5(2(x1))))))))))))
   0^1(1(5(5(3(0(1(1(3(0(0(4(x1)))))))))))) -> 2^1(5(0(1(2(1(2(2(4(5(2(x1)))))))))))
   0^1(1(5(5(3(0(1(1(3(0(0(4(x1)))))))))))) -> 5^1(0(1(2(1(2(2(4(5(2(x1))))))))))
   0^1(1(5(5(3(0(1(1(3(0(0(4(x1)))))))))))) -> 0^1(1(2(1(2(2(4(5(2(x1)))))))))
   0^1(1(5(5(3(0(1(1(3(0(0(4(x1)))))))))))) -> 1^1(2(1(2(2(4(5(2(x1))))))))
   0^1(1(5(5(3(0(1(1(3(0(0(4(x1)))))))))))) -> 2^1(1(2(2(4(5(2(x1)))))))
   0^1(1(5(5(3(0(1(1(3(0(0(4(x1)))))))))))) -> 1^1(2(2(4(5(2(x1))))))
   0^1(1(5(5(3(0(1(1(3(0(0(4(x1)))))))))))) -> 2^1(2(4(5(2(x1)))))
   0^1(1(5(5(3(0(1(1(3(0(0(4(x1)))))))))))) -> 2^1(4(5(2(x1))))
   0^1(1(5(5(3(0(1(1(3(0(0(4(x1)))))))))))) -> 4^1(5(2(x1)))
   0^1(1(5(5(3(0(1(1(3(0(0(4(x1)))))))))))) -> 5^1(2(x1))
   0^1(1(5(5(3(0(1(1(3(0(0(4(x1)))))))))))) -> 2^1(x1)
   4^1(0(5(3(1(0(1(4(5(2(1(4(x1)))))))))))) -> 3^1(1(2(4(1(2(3(2(2(4(5(4(2(5(2(2(x1))))))))))))))))
   4^1(0(5(3(1(0(1(4(5(2(1(4(x1)))))))))))) -> 1^1(2(4(1(2(3(2(2(4(5(4(2(5(2(2(x1)))))))))))))))
   4^1(0(5(3(1(0(1(4(5(2(1(4(x1)))))))))))) -> 2^1(4(1(2(3(2(2(4(5(4(2(5(2(2(x1))))))))))))))
   4^1(0(5(3(1(0(1(4(5(2(1(4(x1)))))))))))) -> 4^1(1(2(3(2(2(4(5(4(2(5(2(2(x1)))))))))))))
   4^1(0(5(3(1(0(1(4(5(2(1(4(x1)))))))))))) -> 1^1(2(3(2(2(4(5(4(2(5(2(2(x1))))))))))))
   4^1(0(5(3(1(0(1(4(5(2(1(4(x1)))))))))))) -> 2^1(3(2(2(4(5(4(2(5(2(2(x1)))))))))))
   4^1(0(5(3(1(0(1(4(5(2(1(4(x1)))))))))))) -> 3^1(2(2(4(5(4(2(5(2(2(x1))))))))))
   4^1(0(5(3(1(0(1(4(5(2(1(4(x1)))))))))))) -> 2^1(2(4(5(4(2(5(2(2(x1)))))))))
   4^1(0(5(3(1(0(1(4(5(2(1(4(x1)))))))))))) -> 2^1(4(5(4(2(5(2(2(x1))))))))
   4^1(0(5(3(1(0(1(4(5(2(1(4(x1)))))))))))) -> 4^1(5(4(2(5(2(2(x1)))))))
   4^1(0(5(3(1(0(1(4(5(2(1(4(x1)))))))))))) -> 5^1(4(2(5(2(2(x1))))))
   4^1(0(5(3(1(0(1(4(5(2(1(4(x1)))))))))))) -> 4^1(2(5(2(2(x1)))))
   4^1(0(5(3(1(0(1(4(5(2(1(4(x1)))))))))))) -> 2^1(5(2(2(x1))))
   4^1(0(5(3(1(0(1(4(5(2(1(4(x1)))))))))))) -> 5^1(2(2(x1)))
   4^1(0(5(3(1(0(1(4(5(2(1(4(x1)))))))))))) -> 2^1(2(x1))
   4^1(0(5(3(1(0(1(4(5(2(1(4(x1)))))))))))) -> 2^1(x1)
   3^1(3(0(3(0(5(4(1(3(4(1(4(x1)))))))))))) -> 2^1(2(2(2(3(1(2(2(5(5(4(1(1(4(2(3(1(x1)))))))))))))))))
   3^1(3(0(3(0(5(4(1(3(4(1(4(x1)))))))))))) -> 2^1(2(2(3(1(2(2(5(5(4(1(1(4(2(3(1(x1))))))))))))))))
   3^1(3(0(3(0(5(4(1(3(4(1(4(x1)))))))))))) -> 2^1(2(3(1(2(2(5(5(4(1(1(4(2(3(1(x1)))))))))))))))
   3^1(3(0(3(0(5(4(1(3(4(1(4(x1)))))))))))) -> 2^1(3(1(2(2(5(5(4(1(1(4(2(3(1(x1))))))))))))))
   3^1(3(0(3(0(5(4(1(3(4(1(4(x1)))))))))))) -> 3^1(1(2(2(5(5(4(1(1(4(2(3(1(x1)))))))))))))
   3^1(3(0(3(0(5(4(1(3(4(1(4(x1)))))))))))) -> 1^1(2(2(5(5(4(1(1(4(2(3(1(x1))))))))))))
   3^1(3(0(3(0(5(4(1(3(4(1(4(x1)))))))))))) -> 2^1(2(5(5(4(1(1(4(2(3(1(x1)))))))))))
   3^1(3(0(3(0(5(4(1(3(4(1(4(x1)))))))))))) -> 2^1(5(5(4(1(1(4(2(3(1(x1))))))))))
   3^1(3(0(3(0(5(4(1(3(4(1(4(x1)))))))))))) -> 5^1(5(4(1(1(4(2(3(1(x1)))))))))
   3^1(3(0(3(0(5(4(1(3(4(1(4(x1)))))))))))) -> 5^1(4(1(1(4(2(3(1(x1))))))))
   3^1(3(0(3(0(5(4(1(3(4(1(4(x1)))))))))))) -> 4^1(1(1(4(2(3(1(x1)))))))
   3^1(3(0(3(0(5(4(1(3(4(1(4(x1)))))))))))) -> 1^1(1(4(2(3(1(x1))))))
   3^1(3(0(3(0(5(4(1(3(4(1(4(x1)))))))))))) -> 1^1(4(2(3(1(x1)))))
   3^1(3(0(3(0(5(4(1(3(4(1(4(x1)))))))))))) -> 4^1(2(3(1(x1))))
   3^1(3(0(3(0(5(4(1(3(4(1(4(x1)))))))))))) -> 2^1(3(1(x1)))
   3^1(3(0(3(0(5(4(1(3(4(1(4(x1)))))))))))) -> 3^1(1(x1))
   3^1(3(0(3(0(5(4(1(3(4(1(4(x1)))))))))))) -> 1^1(x1)
   1^1(1(5(4(4(3(0(0(4(4(1(4(x1)))))))))))) -> 1^1(3(2(1(1(2(2(2(3(3(4(0(0(2(3(1(x1))))))))))))))))
   1^1(1(5(4(4(3(0(0(4(4(1(4(x1)))))))))))) -> 3^1(2(1(1(2(2(2(3(3(4(0(0(2(3(1(x1)))))))))))))))
   1^1(1(5(4(4(3(0(0(4(4(1(4(x1)))))))))))) -> 2^1(1(1(2(2(2(3(3(4(0(0(2(3(1(x1))))))))))))))
   1^1(1(5(4(4(3(0(0(4(4(1(4(x1)))))))))))) -> 1^1(1(2(2(2(3(3(4(0(0(2(3(1(x1)))))))))))))
   1^1(1(5(4(4(3(0(0(4(4(1(4(x1)))))))))))) -> 1^1(2(2(2(3(3(4(0(0(2(3(1(x1))))))))))))
   1^1(1(5(4(4(3(0(0(4(4(1(4(x1)))))))))))) -> 2^1(2(2(3(3(4(0(0(2(3(1(x1)))))))))))
   1^1(1(5(4(4(3(0(0(4(4(1(4(x1)))))))))))) -> 2^1(2(3(3(4(0(0(2(3(1(x1))))))))))
   1^1(1(5(4(4(3(0(0(4(4(1(4(x1)))))))))))) -> 2^1(3(3(4(0(0(2(3(1(x1)))))))))
   1^1(1(5(4(4(3(0(0(4(4(1(4(x1)))))))))))) -> 3^1(3(4(0(0(2(3(1(x1))))))))
   1^1(1(5(4(4(3(0(0(4(4(1(4(x1)))))))))))) -> 3^1(4(0(0(2(3(1(x1)))))))
   1^1(1(5(4(4(3(0(0(4(4(1(4(x1)))))))))))) -> 4^1(0(0(2(3(1(x1))))))
   1^1(1(5(4(4(3(0(0(4(4(1(4(x1)))))))))))) -> 0^1(0(2(3(1(x1)))))
   1^1(1(5(4(4(3(0(0(4(4(1(4(x1)))))))))))) -> 0^1(2(3(1(x1))))
   1^1(1(5(4(4(3(0(0(4(4(1(4(x1)))))))))))) -> 2^1(3(1(x1)))
   1^1(1(5(4(4(3(0(0(4(4(1(4(x1)))))))))))) -> 3^1(1(x1))
   1^1(1(5(4(4(3(0(0(4(4(1(4(x1)))))))))))) -> 1^1(x1)
   3^1(0(1(4(4(1(1(4(1(5(1(4(x1)))))))))))) -> 1^1(3(1(4(2(3(2(2(3(2(3(3(3(5(2(1(3(x1)))))))))))))))))
   3^1(0(1(4(4(1(1(4(1(5(1(4(x1)))))))))))) -> 3^1(1(4(2(3(2(2(3(2(3(3(3(5(2(1(3(x1))))))))))))))))
   3^1(0(1(4(4(1(1(4(1(5(1(4(x1)))))))))))) -> 1^1(4(2(3(2(2(3(2(3(3(3(5(2(1(3(x1)))))))))))))))
   3^1(0(1(4(4(1(1(4(1(5(1(4(x1)))))))))))) -> 4^1(2(3(2(2(3(2(3(3(3(5(2(1(3(x1))))))))))))))
   3^1(0(1(4(4(1(1(4(1(5(1(4(x1)))))))))))) -> 2^1(3(2(2(3(2(3(3(3(5(2(1(3(x1)))))))))))))
   3^1(0(1(4(4(1(1(4(1(5(1(4(x1)))))))))))) -> 3^1(2(2(3(2(3(3(3(5(2(1(3(x1))))))))))))
   3^1(0(1(4(4(1(1(4(1(5(1(4(x1)))))))))))) -> 2^1(2(3(2(3(3(3(5(2(1(3(x1)))))))))))
   3^1(0(1(4(4(1(1(4(1(5(1(4(x1)))))))))))) -> 2^1(3(2(3(3(3(5(2(1(3(x1))))))))))
   3^1(0(1(4(4(1(1(4(1(5(1(4(x1)))))))))))) -> 3^1(2(3(3(3(5(2(1(3(x1)))))))))
   3^1(0(1(4(4(1(1(4(1(5(1(4(x1)))))))))))) -> 2^1(3(3(3(5(2(1(3(x1))))))))
   3^1(0(1(4(4(1(1(4(1(5(1(4(x1)))))))))))) -> 3^1(3(3(5(2(1(3(x1)))))))
   3^1(0(1(4(4(1(1(4(1(5(1(4(x1)))))))))))) -> 3^1(3(5(2(1(3(x1))))))
   3^1(0(1(4(4(1(1(4(1(5(1(4(x1)))))))))))) -> 3^1(5(2(1(3(x1)))))
   3^1(0(1(4(4(1(1(4(1(5(1(4(x1)))))))))))) -> 5^1(2(1(3(x1))))
   3^1(0(1(4(4(1(1(4(1(5(1(4(x1)))))))))))) -> 2^1(1(3(x1)))
   3^1(0(1(4(4(1(1(4(1(5(1(4(x1)))))))))))) -> 1^1(3(x1))
   3^1(0(1(4(4(1(1(4(1(5(1(4(x1)))))))))))) -> 3^1(x1)
   5^1(4(5(5(4(3(2(1(1(4(2(4(x1)))))))))))) -> 4^1(1(2(3(1(0(0(3(3(5(2(3(2(2(2(x1)))))))))))))))
   5^1(4(5(5(4(3(2(1(1(4(2(4(x1)))))))))))) -> 1^1(2(3(1(0(0(3(3(5(2(3(2(2(2(x1))))))))))))))
   5^1(4(5(5(4(3(2(1(1(4(2(4(x1)))))))))))) -> 2^1(3(1(0(0(3(3(5(2(3(2(2(2(x1)))))))))))))
   5^1(4(5(5(4(3(2(1(1(4(2(4(x1)))))))))))) -> 3^1(1(0(0(3(3(5(2(3(2(2(2(x1))))))))))))
   5^1(4(5(5(4(3(2(1(1(4(2(4(x1)))))))))))) -> 1^1(0(0(3(3(5(2(3(2(2(2(x1)))))))))))
   5^1(4(5(5(4(3(2(1(1(4(2(4(x1)))))))))))) -> 0^1(0(3(3(5(2(3(2(2(2(x1))))))))))
   5^1(4(5(5(4(3(2(1(1(4(2(4(x1)))))))))))) -> 0^1(3(3(5(2(3(2(2(2(x1)))))))))
   5^1(4(5(5(4(3(2(1(1(4(2(4(x1)))))))))))) -> 3^1(3(5(2(3(2(2(2(x1))))))))
   5^1(4(5(5(4(3(2(1(1(4(2(4(x1)))))))))))) -> 3^1(5(2(3(2(2(2(x1)))))))
   5^1(4(5(5(4(3(2(1(1(4(2(4(x1)))))))))))) -> 5^1(2(3(2(2(2(x1))))))
   5^1(4(5(5(4(3(2(1(1(4(2(4(x1)))))))))))) -> 2^1(3(2(2(2(x1)))))
   5^1(4(5(5(4(3(2(1(1(4(2(4(x1)))))))))))) -> 3^1(2(2(2(x1))))
   5^1(4(5(5(4(3(2(1(1(4(2(4(x1)))))))))))) -> 2^1(2(2(x1)))
   5^1(4(5(5(4(3(2(1(1(4(2(4(x1)))))))))))) -> 2^1(2(x1))
   5^1(4(5(5(4(3(2(1(1(4(2(4(x1)))))))))))) -> 2^1(x1)
   0^1(1(0(5(5(4(3(0(4(4(2(4(x1)))))))))))) -> 4^1(1(2(2(1(2(0(2(4(1(1(2(5(1(3(x1)))))))))))))))
   0^1(1(0(5(5(4(3(0(4(4(2(4(x1)))))))))))) -> 1^1(2(2(1(2(0(2(4(1(1(2(5(1(3(x1))))))))))))))
   0^1(1(0(5(5(4(3(0(4(4(2(4(x1)))))))))))) -> 2^1(2(1(2(0(2(4(1(1(2(5(1(3(x1)))))))))))))
   0^1(1(0(5(5(4(3(0(4(4(2(4(x1)))))))))))) -> 2^1(1(2(0(2(4(1(1(2(5(1(3(x1))))))))))))
   0^1(1(0(5(5(4(3(0(4(4(2(4(x1)))))))))))) -> 1^1(2(0(2(4(1(1(2(5(1(3(x1)))))))))))
   0^1(1(0(5(5(4(3(0(4(4(2(4(x1)))))))))))) -> 2^1(0(2(4(1(1(2(5(1(3(x1))))))))))
   0^1(1(0(5(5(4(3(0(4(4(2(4(x1)))))))))))) -> 0^1(2(4(1(1(2(5(1(3(x1)))))))))
   0^1(1(0(5(5(4(3(0(4(4(2(4(x1)))))))))))) -> 2^1(4(1(1(2(5(1(3(x1))))))))
   0^1(1(0(5(5(4(3(0(4(4(2(4(x1)))))))))))) -> 4^1(1(1(2(5(1(3(x1)))))))
   0^1(1(0(5(5(4(3(0(4(4(2(4(x1)))))))))))) -> 1^1(1(2(5(1(3(x1))))))
   0^1(1(0(5(5(4(3(0(4(4(2(4(x1)))))))))))) -> 1^1(2(5(1(3(x1)))))
   0^1(1(0(5(5(4(3(0(4(4(2(4(x1)))))))))))) -> 2^1(5(1(3(x1))))
   0^1(1(0(5(5(4(3(0(4(4(2(4(x1)))))))))))) -> 5^1(1(3(x1)))
   0^1(1(0(5(5(4(3(0(4(4(2(4(x1)))))))))))) -> 1^1(3(x1))
   0^1(1(0(5(5(4(3(0(4(4(2(4(x1)))))))))))) -> 3^1(x1)
   5^1(3(0(1(1(0(3(3(5(3(3(4(x1)))))))))))) -> 2^1(2(3(2(3(0(0(2(4(1(1(2(4(2(x1))))))))))))))
   5^1(3(0(1(1(0(3(3(5(3(3(4(x1)))))))))))) -> 2^1(3(2(3(0(0(2(4(1(1(2(4(2(x1)))))))))))))
   5^1(3(0(1(1(0(3(3(5(3(3(4(x1)))))))))))) -> 3^1(2(3(0(0(2(4(1(1(2(4(2(x1))))))))))))
   5^1(3(0(1(1(0(3(3(5(3(3(4(x1)))))))))))) -> 2^1(3(0(0(2(4(1(1(2(4(2(x1)))))))))))
   5^1(3(0(1(1(0(3(3(5(3(3(4(x1)))))))))))) -> 3^1(0(0(2(4(1(1(2(4(2(x1))))))))))
   5^1(3(0(1(1(0(3(3(5(3(3(4(x1)))))))))))) -> 0^1(0(2(4(1(1(2(4(2(x1)))))))))
   5^1(3(0(1(1(0(3(3(5(3(3(4(x1)))))))))))) -> 0^1(2(4(1(1(2(4(2(x1))))))))
   5^1(3(0(1(1(0(3(3(5(3(3(4(x1)))))))))))) -> 2^1(4(1(1(2(4(2(x1)))))))
   5^1(3(0(1(1(0(3(3(5(3(3(4(x1)))))))))))) -> 4^1(1(1(2(4(2(x1))))))
   5^1(3(0(1(1(0(3(3(5(3(3(4(x1)))))))))))) -> 1^1(1(2(4(2(x1)))))
   5^1(3(0(1(1(0(3(3(5(3(3(4(x1)))))))))))) -> 1^1(2(4(2(x1))))
   5^1(3(0(1(1(0(3(3(5(3(3(4(x1)))))))))))) -> 2^1(4(2(x1)))
   5^1(3(0(1(1(0(3(3(5(3(3(4(x1)))))))))))) -> 4^1(2(x1))
   5^1(3(0(1(1(0(3(3(5(3(3(4(x1)))))))))))) -> 2^1(x1)
   5^1(4(0(1(3(0(5(5(5(4(3(4(x1)))))))))))) -> 3^1(2(2(1(2(3(2(5(0(3(2(4(4(4(5(4(2(x1)))))))))))))))))
   5^1(4(0(1(3(0(5(5(5(4(3(4(x1)))))))))))) -> 2^1(2(1(2(3(2(5(0(3(2(4(4(4(5(4(2(x1))))))))))))))))
   5^1(4(0(1(3(0(5(5(5(4(3(4(x1)))))))))))) -> 2^1(1(2(3(2(5(0(3(2(4(4(4(5(4(2(x1)))))))))))))))
   5^1(4(0(1(3(0(5(5(5(4(3(4(x1)))))))))))) -> 1^1(2(3(2(5(0(3(2(4(4(4(5(4(2(x1))))))))))))))
   5^1(4(0(1(3(0(5(5(5(4(3(4(x1)))))))))))) -> 2^1(3(2(5(0(3(2(4(4(4(5(4(2(x1)))))))))))))
   5^1(4(0(1(3(0(5(5(5(4(3(4(x1)))))))))))) -> 3^1(2(5(0(3(2(4(4(4(5(4(2(x1))))))))))))
   5^1(4(0(1(3(0(5(5(5(4(3(4(x1)))))))))))) -> 2^1(5(0(3(2(4(4(4(5(4(2(x1)))))))))))
   5^1(4(0(1(3(0(5(5(5(4(3(4(x1)))))))))))) -> 5^1(0(3(2(4(4(4(5(4(2(x1))))))))))
   5^1(4(0(1(3(0(5(5(5(4(3(4(x1)))))))))))) -> 0^1(3(2(4(4(4(5(4(2(x1)))))))))
   5^1(4(0(1(3(0(5(5(5(4(3(4(x1)))))))))))) -> 3^1(2(4(4(4(5(4(2(x1))))))))
   5^1(4(0(1(3(0(5(5(5(4(3(4(x1)))))))))))) -> 2^1(4(4(4(5(4(2(x1)))))))
   5^1(4(0(1(3(0(5(5(5(4(3(4(x1)))))))))))) -> 4^1(4(4(5(4(2(x1))))))
   5^1(4(0(1(3(0(5(5(5(4(3(4(x1)))))))))))) -> 4^1(4(5(4(2(x1)))))
   5^1(4(0(1(3(0(5(5(5(4(3(4(x1)))))))))))) -> 4^1(5(4(2(x1))))
   5^1(4(0(1(3(0(5(5(5(4(3(4(x1)))))))))))) -> 5^1(4(2(x1)))
   5^1(4(0(1(3(0(5(5(5(4(3(4(x1)))))))))))) -> 4^1(2(x1))
   5^1(4(0(1(3(0(5(5(5(4(3(4(x1)))))))))))) -> 2^1(x1)
   0^1(0(2(4(4(5(3(1(0(5(3(4(x1)))))))))))) -> 1^1(2(3(2(4(1(2(2(0(5(2(5(2(2(2(2(2(4(x1))))))))))))))))))
   0^1(0(2(4(4(5(3(1(0(5(3(4(x1)))))))))))) -> 2^1(3(2(4(1(2(2(0(5(2(5(2(2(2(2(2(4(x1)))))))))))))))))
   0^1(0(2(4(4(5(3(1(0(5(3(4(x1)))))))))))) -> 3^1(2(4(1(2(2(0(5(2(5(2(2(2(2(2(4(x1))))))))))))))))
   0^1(0(2(4(4(5(3(1(0(5(3(4(x1)))))))))))) -> 2^1(4(1(2(2(0(5(2(5(2(2(2(2(2(4(x1)))))))))))))))
   0^1(0(2(4(4(5(3(1(0(5(3(4(x1)))))))))))) -> 4^1(1(2(2(0(5(2(5(2(2(2(2(2(4(x1))))))))))))))
   0^1(0(2(4(4(5(3(1(0(5(3(4(x1)))))))))))) -> 1^1(2(2(0(5(2(5(2(2(2(2(2(4(x1)))))))))))))
   0^1(0(2(4(4(5(3(1(0(5(3(4(x1)))))))))))) -> 2^1(2(0(5(2(5(2(2(2(2(2(4(x1))))))))))))
   0^1(0(2(4(4(5(3(1(0(5(3(4(x1)))))))))))) -> 2^1(0(5(2(5(2(2(2(2(2(4(x1)))))))))))
   0^1(0(2(4(4(5(3(1(0(5(3(4(x1)))))))))))) -> 0^1(5(2(5(2(2(2(2(2(4(x1))))))))))
   0^1(0(2(4(4(5(3(1(0(5(3(4(x1)))))))))))) -> 5^1(2(5(2(2(2(2(2(4(x1)))))))))
   0^1(0(2(4(4(5(3(1(0(5(3(4(x1)))))))))))) -> 2^1(5(2(2(2(2(2(4(x1))))))))
   0^1(0(2(4(4(5(3(1(0(5(3(4(x1)))))))))))) -> 5^1(2(2(2(2(2(4(x1)))))))
   0^1(0(2(4(4(5(3(1(0(5(3(4(x1)))))))))))) -> 2^1(2(2(2(2(4(x1))))))
   0^1(0(2(4(4(5(3(1(0(5(3(4(x1)))))))))))) -> 2^1(2(2(2(4(x1)))))
   0^1(0(2(4(4(5(3(1(0(5(3(4(x1)))))))))))) -> 2^1(2(2(4(x1))))
   0^1(0(2(4(4(5(3(1(0(5(3(4(x1)))))))))))) -> 2^1(2(4(x1)))
   0^1(0(2(4(4(5(3(1(0(5(3(4(x1)))))))))))) -> 2^1(4(x1))
   1^1(2(3(3(0(1(0(5(3(3(4(4(x1)))))))))))) -> 3^1(1(2(2(3(4(0(1(2(5(2(2(1(2(1(2(2(x1)))))))))))))))))
   1^1(2(3(3(0(1(0(5(3(3(4(4(x1)))))))))))) -> 1^1(2(2(3(4(0(1(2(5(2(2(1(2(1(2(2(x1))))))))))))))))
   1^1(2(3(3(0(1(0(5(3(3(4(4(x1)))))))))))) -> 2^1(2(3(4(0(1(2(5(2(2(1(2(1(2(2(x1)))))))))))))))
   1^1(2(3(3(0(1(0(5(3(3(4(4(x1)))))))))))) -> 2^1(3(4(0(1(2(5(2(2(1(2(1(2(2(x1))))))))))))))
   1^1(2(3(3(0(1(0(5(3(3(4(4(x1)))))))))))) -> 3^1(4(0(1(2(5(2(2(1(2(1(2(2(x1)))))))))))))
   1^1(2(3(3(0(1(0(5(3(3(4(4(x1)))))))))))) -> 4^1(0(1(2(5(2(2(1(2(1(2(2(x1))))))))))))
   1^1(2(3(3(0(1(0(5(3(3(4(4(x1)))))))))))) -> 0^1(1(2(5(2(2(1(2(1(2(2(x1)))))))))))
   1^1(2(3(3(0(1(0(5(3(3(4(4(x1)))))))))))) -> 1^1(2(5(2(2(1(2(1(2(2(x1))))))))))
   1^1(2(3(3(0(1(0(5(3(3(4(4(x1)))))))))))) -> 2^1(5(2(2(1(2(1(2(2(x1)))))))))
   1^1(2(3(3(0(1(0(5(3(3(4(4(x1)))))))))))) -> 5^1(2(2(1(2(1(2(2(x1))))))))
   1^1(2(3(3(0(1(0(5(3(3(4(4(x1)))))))))))) -> 2^1(2(1(2(1(2(2(x1)))))))
   1^1(2(3(3(0(1(0(5(3(3(4(4(x1)))))))))))) -> 2^1(1(2(1(2(2(x1))))))
   1^1(2(3(3(0(1(0(5(3(3(4(4(x1)))))))))))) -> 1^1(2(1(2(2(x1)))))
   1^1(2(3(3(0(1(0(5(3(3(4(4(x1)))))))))))) -> 2^1(1(2(2(x1))))
   1^1(2(3(3(0(1(0(5(3(3(4(4(x1)))))))))))) -> 1^1(2(2(x1)))
   1^1(2(3(3(0(1(0(5(3(3(4(4(x1)))))))))))) -> 2^1(2(x1))
   1^1(2(3(3(0(1(0(5(3(3(4(4(x1)))))))))))) -> 2^1(x1)
   4^1(0(4(4(1(0(0(0(1(0(5(4(x1)))))))))))) -> 3^1(5(4(2(1(5(2(4(2(3(3(2(2(2(5(2(3(x1)))))))))))))))))
   4^1(0(4(4(1(0(0(0(1(0(5(4(x1)))))))))))) -> 5^1(4(2(1(5(2(4(2(3(3(2(2(2(5(2(3(x1))))))))))))))))
   4^1(0(4(4(1(0(0(0(1(0(5(4(x1)))))))))))) -> 4^1(2(1(5(2(4(2(3(3(2(2(2(5(2(3(x1)))))))))))))))
   4^1(0(4(4(1(0(0(0(1(0(5(4(x1)))))))))))) -> 2^1(1(5(2(4(2(3(3(2(2(2(5(2(3(x1))))))))))))))
   4^1(0(4(4(1(0(0(0(1(0(5(4(x1)))))))))))) -> 1^1(5(2(4(2(3(3(2(2(2(5(2(3(x1)))))))))))))
   4^1(0(4(4(1(0(0(0(1(0(5(4(x1)))))))))))) -> 5^1(2(4(2(3(3(2(2(2(5(2(3(x1))))))))))))
   4^1(0(4(4(1(0(0(0(1(0(5(4(x1)))))))))))) -> 2^1(4(2(3(3(2(2(2(5(2(3(x1)))))))))))
   4^1(0(4(4(1(0(0(0(1(0(5(4(x1)))))))))))) -> 4^1(2(3(3(2(2(2(5(2(3(x1))))))))))
   4^1(0(4(4(1(0(0(0(1(0(5(4(x1)))))))))))) -> 2^1(3(3(2(2(2(5(2(3(x1)))))))))
   4^1(0(4(4(1(0(0(0(1(0(5(4(x1)))))))))))) -> 3^1(3(2(2(2(5(2(3(x1))))))))
   4^1(0(4(4(1(0(0(0(1(0(5(4(x1)))))))))))) -> 3^1(2(2(2(5(2(3(x1)))))))
   4^1(0(4(4(1(0(0(0(1(0(5(4(x1)))))))))))) -> 2^1(2(2(5(2(3(x1))))))
   4^1(0(4(4(1(0(0(0(1(0(5(4(x1)))))))))))) -> 2^1(2(5(2(3(x1)))))
   4^1(0(4(4(1(0(0(0(1(0(5(4(x1)))))))))))) -> 2^1(5(2(3(x1))))
   4^1(0(4(4(1(0(0(0(1(0(5(4(x1)))))))))))) -> 5^1(2(3(x1)))
   4^1(0(4(4(1(0(0(0(1(0(5(4(x1)))))))))))) -> 2^1(3(x1))
   4^1(0(4(4(1(0(0(0(1(0(5(4(x1)))))))))))) -> 3^1(x1)
   4^1(3(5(0(0(4(1(3(4(0(5(4(x1)))))))))))) -> 0^1(4(0(4(1(2(5(2(2(2(4(2(2(1(2(3(1(4(x1))))))))))))))))))
   4^1(3(5(0(0(4(1(3(4(0(5(4(x1)))))))))))) -> 4^1(0(4(1(2(5(2(2(2(4(2(2(1(2(3(1(4(x1)))))))))))))))))
   4^1(3(5(0(0(4(1(3(4(0(5(4(x1)))))))))))) -> 0^1(4(1(2(5(2(2(2(4(2(2(1(2(3(1(4(x1))))))))))))))))
   4^1(3(5(0(0(4(1(3(4(0(5(4(x1)))))))))))) -> 4^1(1(2(5(2(2(2(4(2(2(1(2(3(1(4(x1)))))))))))))))
   4^1(3(5(0(0(4(1(3(4(0(5(4(x1)))))))))))) -> 1^1(2(5(2(2(2(4(2(2(1(2(3(1(4(x1))))))))))))))
   4^1(3(5(0(0(4(1(3(4(0(5(4(x1)))))))))))) -> 2^1(5(2(2(2(4(2(2(1(2(3(1(4(x1)))))))))))))
   4^1(3(5(0(0(4(1(3(4(0(5(4(x1)))))))))))) -> 5^1(2(2(2(4(2(2(1(2(3(1(4(x1))))))))))))
   4^1(3(5(0(0(4(1(3(4(0(5(4(x1)))))))))))) -> 2^1(2(2(4(2(2(1(2(3(1(4(x1)))))))))))
   4^1(3(5(0(0(4(1(3(4(0(5(4(x1)))))))))))) -> 2^1(2(4(2(2(1(2(3(1(4(x1))))))))))
   4^1(3(5(0(0(4(1(3(4(0(5(4(x1)))))))))))) -> 2^1(4(2(2(1(2(3(1(4(x1)))))))))
   4^1(3(5(0(0(4(1(3(4(0(5(4(x1)))))))))))) -> 4^1(2(2(1(2(3(1(4(x1))))))))
   4^1(3(5(0(0(4(1(3(4(0(5(4(x1)))))))))))) -> 2^1(2(1(2(3(1(4(x1)))))))
   4^1(3(5(0(0(4(1(3(4(0(5(4(x1)))))))))))) -> 2^1(1(2(3(1(4(x1))))))
   4^1(3(5(0(0(4(1(3(4(0(5(4(x1)))))))))))) -> 1^1(2(3(1(4(x1)))))
   4^1(3(5(0(0(4(1(3(4(0(5(4(x1)))))))))))) -> 2^1(3(1(4(x1))))
   4^1(3(5(0(0(4(1(3(4(0(5(4(x1)))))))))))) -> 3^1(1(4(x1)))
   4^1(3(5(0(0(4(1(3(4(0(5(4(x1)))))))))))) -> 1^1(4(x1))
   0^1(3(1(4(4(4(5(4(1(1(0(5(x1)))))))))))) -> 1^1(2(0(2(5(2(2(5(2(3(1(1(4(1(2(5(0(x1)))))))))))))))))
   0^1(3(1(4(4(4(5(4(1(1(0(5(x1)))))))))))) -> 2^1(0(2(5(2(2(5(2(3(1(1(4(1(2(5(0(x1))))))))))))))))
   0^1(3(1(4(4(4(5(4(1(1(0(5(x1)))))))))))) -> 0^1(2(5(2(2(5(2(3(1(1(4(1(2(5(0(x1)))))))))))))))
   0^1(3(1(4(4(4(5(4(1(1(0(5(x1)))))))))))) -> 2^1(5(2(2(5(2(3(1(1(4(1(2(5(0(x1))))))))))))))
   0^1(3(1(4(4(4(5(4(1(1(0(5(x1)))))))))))) -> 5^1(2(2(5(2(3(1(1(4(1(2(5(0(x1)))))))))))))
   0^1(3(1(4(4(4(5(4(1(1(0(5(x1)))))))))))) -> 2^1(2(5(2(3(1(1(4(1(2(5(0(x1))))))))))))
   0^1(3(1(4(4(4(5(4(1(1(0(5(x1)))))))))))) -> 2^1(5(2(3(1(1(4(1(2(5(0(x1)))))))))))
   0^1(3(1(4(4(4(5(4(1(1(0(5(x1)))))))))))) -> 5^1(2(3(1(1(4(1(2(5(0(x1))))))))))
   0^1(3(1(4(4(4(5(4(1(1(0(5(x1)))))))))))) -> 2^1(3(1(1(4(1(2(5(0(x1)))))))))
   0^1(3(1(4(4(4(5(4(1(1(0(5(x1)))))))))))) -> 3^1(1(1(4(1(2(5(0(x1))))))))
   0^1(3(1(4(4(4(5(4(1(1(0(5(x1)))))))))))) -> 1^1(1(4(1(2(5(0(x1)))))))
   0^1(3(1(4(4(4(5(4(1(1(0(5(x1)))))))))))) -> 1^1(4(1(2(5(0(x1))))))
   0^1(3(1(4(4(4(5(4(1(1(0(5(x1)))))))))))) -> 4^1(1(2(5(0(x1)))))
   0^1(3(1(4(4(4(5(4(1(1(0(5(x1)))))))))))) -> 1^1(2(5(0(x1))))
   0^1(3(1(4(4(4(5(4(1(1(0(5(x1)))))))))))) -> 2^1(5(0(x1)))
   0^1(3(1(4(4(4(5(4(1(1(0(5(x1)))))))))))) -> 5^1(0(x1))
   0^1(3(1(4(4(4(5(4(1(1(0(5(x1)))))))))))) -> 0^1(x1)
   0^1(0(0(4(5(0(5(1(4(1(0(5(x1)))))))))))) -> 2^1(1(0(3(2(4(2(2(2(1(5(3(1(4(2(2(5(x1)))))))))))))))))
   0^1(0(0(4(5(0(5(1(4(1(0(5(x1)))))))))))) -> 1^1(0(3(2(4(2(2(2(1(5(3(1(4(2(2(5(x1))))))))))))))))
   0^1(0(0(4(5(0(5(1(4(1(0(5(x1)))))))))))) -> 0^1(3(2(4(2(2(2(1(5(3(1(4(2(2(5(x1)))))))))))))))
   0^1(0(0(4(5(0(5(1(4(1(0(5(x1)))))))))))) -> 3^1(2(4(2(2(2(1(5(3(1(4(2(2(5(x1))))))))))))))
   0^1(0(0(4(5(0(5(1(4(1(0(5(x1)))))))))))) -> 2^1(4(2(2(2(1(5(3(1(4(2(2(5(x1)))))))))))))
   0^1(0(0(4(5(0(5(1(4(1(0(5(x1)))))))))))) -> 4^1(2(2(2(1(5(3(1(4(2(2(5(x1))))))))))))
   0^1(0(0(4(5(0(5(1(4(1(0(5(x1)))))))))))) -> 2^1(2(2(1(5(3(1(4(2(2(5(x1)))))))))))
   0^1(0(0(4(5(0(5(1(4(1(0(5(x1)))))))))))) -> 2^1(2(1(5(3(1(4(2(2(5(x1))))))))))
   0^1(0(0(4(5(0(5(1(4(1(0(5(x1)))))))))))) -> 2^1(1(5(3(1(4(2(2(5(x1)))))))))
   0^1(0(0(4(5(0(5(1(4(1(0(5(x1)))))))))))) -> 1^1(5(3(1(4(2(2(5(x1))))))))
   0^1(0(0(4(5(0(5(1(4(1(0(5(x1)))))))))))) -> 5^1(3(1(4(2(2(5(x1)))))))
   0^1(0(0(4(5(0(5(1(4(1(0(5(x1)))))))))))) -> 3^1(1(4(2(2(5(x1))))))
   0^1(0(0(4(5(0(5(1(4(1(0(5(x1)))))))))))) -> 1^1(4(2(2(5(x1)))))
   0^1(0(0(4(5(0(5(1(4(1(0(5(x1)))))))))))) -> 4^1(2(2(5(x1))))
   0^1(0(0(4(5(0(5(1(4(1(0(5(x1)))))))))))) -> 2^1(2(5(x1)))
   0^1(0(0(4(5(0(5(1(4(1(0(5(x1)))))))))))) -> 2^1(5(x1))
   2^1(5(1(1(5(4(1(1(1(3(0(5(x1)))))))))))) -> 4^1(2(5(0(4(0(4(0(3(1(2(2(2(2(3(2(2(x1)))))))))))))))))
   2^1(5(1(1(5(4(1(1(1(3(0(5(x1)))))))))))) -> 2^1(5(0(4(0(4(0(3(1(2(2(2(2(3(2(2(x1))))))))))))))))
   2^1(5(1(1(5(4(1(1(1(3(0(5(x1)))))))))))) -> 5^1(0(4(0(4(0(3(1(2(2(2(2(3(2(2(x1)))))))))))))))
   2^1(5(1(1(5(4(1(1(1(3(0(5(x1)))))))))))) -> 0^1(4(0(4(0(3(1(2(2(2(2(3(2(2(x1))))))))))))))
   2^1(5(1(1(5(4(1(1(1(3(0(5(x1)))))))))))) -> 4^1(0(4(0(3(1(2(2(2(2(3(2(2(x1)))))))))))))
   2^1(5(1(1(5(4(1(1(1(3(0(5(x1)))))))))))) -> 0^1(4(0(3(1(2(2(2(2(3(2(2(x1))))))))))))
   2^1(5(1(1(5(4(1(1(1(3(0(5(x1)))))))))))) -> 4^1(0(3(1(2(2(2(2(3(2(2(x1)))))))))))
   2^1(5(1(1(5(4(1(1(1(3(0(5(x1)))))))))))) -> 0^1(3(1(2(2(2(2(3(2(2(x1))))))))))
   2^1(5(1(1(5(4(1(1(1(3(0(5(x1)))))))))))) -> 3^1(1(2(2(2(2(3(2(2(x1)))))))))
   2^1(5(1(1(5(4(1(1(1(3(0(5(x1)))))))))))) -> 1^1(2(2(2(2(3(2(2(x1))))))))
   2^1(5(1(1(5(4(1(1(1(3(0(5(x1)))))))))))) -> 2^1(2(2(2(3(2(2(x1)))))))
   2^1(5(1(1(5(4(1(1(1(3(0(5(x1)))))))))))) -> 2^1(2(2(3(2(2(x1))))))
   2^1(5(1(1(5(4(1(1(1(3(0(5(x1)))))))))))) -> 2^1(2(3(2(2(x1)))))
   2^1(5(1(1(5(4(1(1(1(3(0(5(x1)))))))))))) -> 2^1(3(2(2(x1))))
   2^1(5(1(1(5(4(1(1(1(3(0(5(x1)))))))))))) -> 3^1(2(2(x1)))
   2^1(5(1(1(5(4(1(1(1(3(0(5(x1)))))))))))) -> 2^1(2(x1))
   2^1(5(1(1(5(4(1(1(1(3(0(5(x1)))))))))))) -> 2^1(x1)
   5^1(0(4(1(4(4(5(1(3(4(0(5(x1)))))))))))) -> 2^1(2(3(5(4(3(3(1(1(2(4(1(2(1(2(2(0(x1)))))))))))))))))
   5^1(0(4(1(4(4(5(1(3(4(0(5(x1)))))))))))) -> 2^1(3(5(4(3(3(1(1(2(4(1(2(1(2(2(0(x1))))))))))))))))
   5^1(0(4(1(4(4(5(1(3(4(0(5(x1)))))))))))) -> 3^1(5(4(3(3(1(1(2(4(1(2(1(2(2(0(x1)))))))))))))))
   5^1(0(4(1(4(4(5(1(3(4(0(5(x1)))))))))))) -> 5^1(4(3(3(1(1(2(4(1(2(1(2(2(0(x1))))))))))))))
   5^1(0(4(1(4(4(5(1(3(4(0(5(x1)))))))))))) -> 4^1(3(3(1(1(2(4(1(2(1(2(2(0(x1)))))))))))))
   5^1(0(4(1(4(4(5(1(3(4(0(5(x1)))))))))))) -> 3^1(3(1(1(2(4(1(2(1(2(2(0(x1))))))))))))
   5^1(0(4(1(4(4(5(1(3(4(0(5(x1)))))))))))) -> 3^1(1(1(2(4(1(2(1(2(2(0(x1)))))))))))
   5^1(0(4(1(4(4(5(1(3(4(0(5(x1)))))))))))) -> 1^1(1(2(4(1(2(1(2(2(0(x1))))))))))
   5^1(0(4(1(4(4(5(1(3(4(0(5(x1)))))))))))) -> 1^1(2(4(1(2(1(2(2(0(x1)))))))))
   5^1(0(4(1(4(4(5(1(3(4(0(5(x1)))))))))))) -> 2^1(4(1(2(1(2(2(0(x1))))))))
   5^1(0(4(1(4(4(5(1(3(4(0(5(x1)))))))))))) -> 4^1(1(2(1(2(2(0(x1)))))))
   5^1(0(4(1(4(4(5(1(3(4(0(5(x1)))))))))))) -> 1^1(2(1(2(2(0(x1))))))
   5^1(0(4(1(4(4(5(1(3(4(0(5(x1)))))))))))) -> 2^1(1(2(2(0(x1)))))
   5^1(0(4(1(4(4(5(1(3(4(0(5(x1)))))))))))) -> 1^1(2(2(0(x1))))
   5^1(0(4(1(4(4(5(1(3(4(0(5(x1)))))))))))) -> 2^1(2(0(x1)))
   5^1(0(4(1(4(4(5(1(3(4(0(5(x1)))))))))))) -> 2^1(0(x1))
   5^1(0(4(1(4(4(5(1(3(4(0(5(x1)))))))))))) -> 0^1(x1)
   3^1(0(0(0(4(5(5(4(4(5(0(5(x1)))))))))))) -> 2^1(3(2(1(3(1(1(2(1(0(2(0(1(2(1(2(3(4(x1))))))))))))))))))
   3^1(0(0(0(4(5(5(4(4(5(0(5(x1)))))))))))) -> 3^1(2(1(3(1(1(2(1(0(2(0(1(2(1(2(3(4(x1)))))))))))))))))
   3^1(0(0(0(4(5(5(4(4(5(0(5(x1)))))))))))) -> 2^1(1(3(1(1(2(1(0(2(0(1(2(1(2(3(4(x1))))))))))))))))
   3^1(0(0(0(4(5(5(4(4(5(0(5(x1)))))))))))) -> 1^1(3(1(1(2(1(0(2(0(1(2(1(2(3(4(x1)))))))))))))))
   3^1(0(0(0(4(5(5(4(4(5(0(5(x1)))))))))))) -> 3^1(1(1(2(1(0(2(0(1(2(1(2(3(4(x1))))))))))))))
   3^1(0(0(0(4(5(5(4(4(5(0(5(x1)))))))))))) -> 1^1(1(2(1(0(2(0(1(2(1(2(3(4(x1)))))))))))))
   3^1(0(0(0(4(5(5(4(4(5(0(5(x1)))))))))))) -> 1^1(2(1(0(2(0(1(2(1(2(3(4(x1))))))))))))
   3^1(0(0(0(4(5(5(4(4(5(0(5(x1)))))))))))) -> 2^1(1(0(2(0(1(2(1(2(3(4(x1)))))))))))
   3^1(0(0(0(4(5(5(4(4(5(0(5(x1)))))))))))) -> 1^1(0(2(0(1(2(1(2(3(4(x1))))))))))
   3^1(0(0(0(4(5(5(4(4(5(0(5(x1)))))))))))) -> 0^1(2(0(1(2(1(2(3(4(x1)))))))))
   3^1(0(0(0(4(5(5(4(4(5(0(5(x1)))))))))))) -> 2^1(0(1(2(1(2(3(4(x1))))))))
   3^1(0(0(0(4(5(5(4(4(5(0(5(x1)))))))))))) -> 0^1(1(2(1(2(3(4(x1)))))))
   3^1(0(0(0(4(5(5(4(4(5(0(5(x1)))))))))))) -> 1^1(2(1(2(3(4(x1))))))
   3^1(0(0(0(4(5(5(4(4(5(0(5(x1)))))))))))) -> 2^1(1(2(3(4(x1)))))
   3^1(0(0(0(4(5(5(4(4(5(0(5(x1)))))))))))) -> 1^1(2(3(4(x1))))
   3^1(0(0(0(4(5(5(4(4(5(0(5(x1)))))))))))) -> 2^1(3(4(x1)))
   3^1(0(0(0(4(5(5(4(4(5(0(5(x1)))))))))))) -> 3^1(4(x1))
   3^1(0(0(0(4(5(5(4(4(5(0(5(x1)))))))))))) -> 4^1(x1)
   3^1(0(0(2(5(1(0(0(5(5(0(5(x1)))))))))))) -> 1^1(1(2(4(4(4(1(2(3(3(4(4(2(0(5(2(2(x1)))))))))))))))))
   3^1(0(0(2(5(1(0(0(5(5(0(5(x1)))))))))))) -> 1^1(2(4(4(4(1(2(3(3(4(4(2(0(5(2(2(x1))))))))))))))))
   3^1(0(0(2(5(1(0(0(5(5(0(5(x1)))))))))))) -> 2^1(4(4(4(1(2(3(3(4(4(2(0(5(2(2(x1)))))))))))))))
   3^1(0(0(2(5(1(0(0(5(5(0(5(x1)))))))))))) -> 4^1(4(4(1(2(3(3(4(4(2(0(5(2(2(x1))))))))))))))
   3^1(0(0(2(5(1(0(0(5(5(0(5(x1)))))))))))) -> 4^1(4(1(2(3(3(4(4(2(0(5(2(2(x1)))))))))))))
   3^1(0(0(2(5(1(0(0(5(5(0(5(x1)))))))))))) -> 4^1(1(2(3(3(4(4(2(0(5(2(2(x1))))))))))))
   3^1(0(0(2(5(1(0(0(5(5(0(5(x1)))))))))))) -> 1^1(2(3(3(4(4(2(0(5(2(2(x1)))))))))))
   3^1(0(0(2(5(1(0(0(5(5(0(5(x1)))))))))))) -> 2^1(3(3(4(4(2(0(5(2(2(x1))))))))))
   3^1(0(0(2(5(1(0(0(5(5(0(5(x1)))))))))))) -> 3^1(3(4(4(2(0(5(2(2(x1)))))))))
   3^1(0(0(2(5(1(0(0(5(5(0(5(x1)))))))))))) -> 3^1(4(4(2(0(5(2(2(x1))))))))
   3^1(0(0(2(5(1(0(0(5(5(0(5(x1)))))))))))) -> 4^1(4(2(0(5(2(2(x1)))))))
   3^1(0(0(2(5(1(0(0(5(5(0(5(x1)))))))))))) -> 4^1(2(0(5(2(2(x1))))))
   3^1(0(0(2(5(1(0(0(5(5(0(5(x1)))))))))))) -> 2^1(0(5(2(2(x1)))))
   3^1(0(0(2(5(1(0(0(5(5(0(5(x1)))))))))))) -> 0^1(5(2(2(x1))))
   3^1(0(0(2(5(1(0(0(5(5(0(5(x1)))))))))))) -> 5^1(2(2(x1)))
   3^1(0(0(2(5(1(0(0(5(5(0(5(x1)))))))))))) -> 2^1(2(x1))
   3^1(0(0(2(5(1(0(0(5(5(0(5(x1)))))))))))) -> 2^1(x1)
   4^1(2(4(0(0(4(4(1(1(1(1(5(x1)))))))))))) -> 0^1(1(2(1(0(4(3(4(2(2(2(5(4(4(5(x1)))))))))))))))
   4^1(2(4(0(0(4(4(1(1(1(1(5(x1)))))))))))) -> 1^1(2(1(0(4(3(4(2(2(2(5(4(4(5(x1))))))))))))))
   4^1(2(4(0(0(4(4(1(1(1(1(5(x1)))))))))))) -> 2^1(1(0(4(3(4(2(2(2(5(4(4(5(x1)))))))))))))
   4^1(2(4(0(0(4(4(1(1(1(1(5(x1)))))))))))) -> 1^1(0(4(3(4(2(2(2(5(4(4(5(x1))))))))))))
   4^1(2(4(0(0(4(4(1(1(1(1(5(x1)))))))))))) -> 0^1(4(3(4(2(2(2(5(4(4(5(x1)))))))))))
   4^1(2(4(0(0(4(4(1(1(1(1(5(x1)))))))))))) -> 4^1(3(4(2(2(2(5(4(4(5(x1))))))))))
   4^1(2(4(0(0(4(4(1(1(1(1(5(x1)))))))))))) -> 3^1(4(2(2(2(5(4(4(5(x1)))))))))
   4^1(2(4(0(0(4(4(1(1(1(1(5(x1)))))))))))) -> 4^1(2(2(2(5(4(4(5(x1))))))))
   4^1(2(4(0(0(4(4(1(1(1(1(5(x1)))))))))))) -> 2^1(2(2(5(4(4(5(x1)))))))
   4^1(2(4(0(0(4(4(1(1(1(1(5(x1)))))))))))) -> 2^1(2(5(4(4(5(x1))))))
   4^1(2(4(0(0(4(4(1(1(1(1(5(x1)))))))))))) -> 2^1(5(4(4(5(x1)))))
   4^1(2(4(0(0(4(4(1(1(1(1(5(x1)))))))))))) -> 5^1(4(4(5(x1))))
   4^1(2(4(0(0(4(4(1(1(1(1(5(x1)))))))))))) -> 4^1(4(5(x1)))
   4^1(2(4(0(0(4(4(1(1(1(1(5(x1)))))))))))) -> 4^1(5(x1))
   4^1(0(0(5(4(1(0(2(1(5(1(5(x1)))))))))))) -> 3^1(2(1(0(1(4(4(2(5(5(1(2(1(5(2(2(2(x1)))))))))))))))))
   4^1(0(0(5(4(1(0(2(1(5(1(5(x1)))))))))))) -> 2^1(1(0(1(4(4(2(5(5(1(2(1(5(2(2(2(x1))))))))))))))))
   4^1(0(0(5(4(1(0(2(1(5(1(5(x1)))))))))))) -> 1^1(0(1(4(4(2(5(5(1(2(1(5(2(2(2(x1)))))))))))))))
   4^1(0(0(5(4(1(0(2(1(5(1(5(x1)))))))))))) -> 0^1(1(4(4(2(5(5(1(2(1(5(2(2(2(x1))))))))))))))
   4^1(0(0(5(4(1(0(2(1(5(1(5(x1)))))))))))) -> 1^1(4(4(2(5(5(1(2(1(5(2(2(2(x1)))))))))))))
   4^1(0(0(5(4(1(0(2(1(5(1(5(x1)))))))))))) -> 4^1(4(2(5(5(1(2(1(5(2(2(2(x1))))))))))))
   4^1(0(0(5(4(1(0(2(1(5(1(5(x1)))))))))))) -> 4^1(2(5(5(1(2(1(5(2(2(2(x1)))))))))))
   4^1(0(0(5(4(1(0(2(1(5(1(5(x1)))))))))))) -> 2^1(5(5(1(2(1(5(2(2(2(x1))))))))))
   4^1(0(0(5(4(1(0(2(1(5(1(5(x1)))))))))))) -> 5^1(5(1(2(1(5(2(2(2(x1)))))))))
   4^1(0(0(5(4(1(0(2(1(5(1(5(x1)))))))))))) -> 5^1(1(2(1(5(2(2(2(x1))))))))
   4^1(0(0(5(4(1(0(2(1(5(1(5(x1)))))))))))) -> 1^1(2(1(5(2(2(2(x1)))))))
   4^1(0(0(5(4(1(0(2(1(5(1(5(x1)))))))))))) -> 2^1(1(5(2(2(2(x1))))))
   4^1(0(0(5(4(1(0(2(1(5(1(5(x1)))))))))))) -> 1^1(5(2(2(2(x1)))))
   4^1(0(0(5(4(1(0(2(1(5(1(5(x1)))))))))))) -> 5^1(2(2(2(x1))))
   4^1(0(0(5(4(1(0(2(1(5(1(5(x1)))))))))))) -> 2^1(2(2(x1)))
   4^1(0(0(5(4(1(0(2(1(5(1(5(x1)))))))))))) -> 2^1(2(x1))
   4^1(0(0(5(4(1(0(2(1(5(1(5(x1)))))))))))) -> 2^1(x1)
   4^1(4(4(3(0(0(1(2(1(5(1(5(x1)))))))))))) -> 2^1(2(1(3(1(2(1(2(5(0(4(2(2(5(2(x1)))))))))))))))
   4^1(4(4(3(0(0(1(2(1(5(1(5(x1)))))))))))) -> 2^1(1(3(1(2(1(2(5(0(4(2(2(5(2(x1))))))))))))))
   4^1(4(4(3(0(0(1(2(1(5(1(5(x1)))))))))))) -> 1^1(3(1(2(1(2(5(0(4(2(2(5(2(x1)))))))))))))
   4^1(4(4(3(0(0(1(2(1(5(1(5(x1)))))))))))) -> 3^1(1(2(1(2(5(0(4(2(2(5(2(x1))))))))))))
   4^1(4(4(3(0(0(1(2(1(5(1(5(x1)))))))))))) -> 1^1(2(1(2(5(0(4(2(2(5(2(x1)))))))))))
   4^1(4(4(3(0(0(1(2(1(5(1(5(x1)))))))))))) -> 2^1(1(2(5(0(4(2(2(5(2(x1))))))))))
   4^1(4(4(3(0(0(1(2(1(5(1(5(x1)))))))))))) -> 1^1(2(5(0(4(2(2(5(2(x1)))))))))
   4^1(4(4(3(0(0(1(2(1(5(1(5(x1)))))))))))) -> 2^1(5(0(4(2(2(5(2(x1))))))))
   4^1(4(4(3(0(0(1(2(1(5(1(5(x1)))))))))))) -> 5^1(0(4(2(2(5(2(x1)))))))
   4^1(4(4(3(0(0(1(2(1(5(1(5(x1)))))))))))) -> 0^1(4(2(2(5(2(x1))))))
   4^1(4(4(3(0(0(1(2(1(5(1(5(x1)))))))))))) -> 4^1(2(2(5(2(x1)))))
   4^1(4(4(3(0(0(1(2(1(5(1(5(x1)))))))))))) -> 2^1(2(5(2(x1))))
   4^1(4(4(3(0(0(1(2(1(5(1(5(x1)))))))))))) -> 2^1(5(2(x1)))
   4^1(4(4(3(0(0(1(2(1(5(1(5(x1)))))))))))) -> 5^1(2(x1))
   4^1(4(4(3(0(0(1(2(1(5(1(5(x1)))))))))))) -> 2^1(x1)
   3^1(1(0(5(5(3(5(0(5(5(1(5(x1)))))))))))) -> 0^1(3(0(2(2(2(3(3(2(1(2(3(2(4(3(x1)))))))))))))))
   3^1(1(0(5(5(3(5(0(5(5(1(5(x1)))))))))))) -> 3^1(0(2(2(2(3(3(2(1(2(3(2(4(3(x1))))))))))))))
   3^1(1(0(5(5(3(5(0(5(5(1(5(x1)))))))))))) -> 0^1(2(2(2(3(3(2(1(2(3(2(4(3(x1)))))))))))))
   3^1(1(0(5(5(3(5(0(5(5(1(5(x1)))))))))))) -> 2^1(2(2(3(3(2(1(2(3(2(4(3(x1))))))))))))
   3^1(1(0(5(5(3(5(0(5(5(1(5(x1)))))))))))) -> 2^1(2(3(3(2(1(2(3(2(4(3(x1)))))))))))
   3^1(1(0(5(5(3(5(0(5(5(1(5(x1)))))))))))) -> 2^1(3(3(2(1(2(3(2(4(3(x1))))))))))
   3^1(1(0(5(5(3(5(0(5(5(1(5(x1)))))))))))) -> 3^1(3(2(1(2(3(2(4(3(x1)))))))))
   3^1(1(0(5(5(3(5(0(5(5(1(5(x1)))))))))))) -> 3^1(2(1(2(3(2(4(3(x1))))))))
   3^1(1(0(5(5(3(5(0(5(5(1(5(x1)))))))))))) -> 2^1(1(2(3(2(4(3(x1)))))))
   3^1(1(0(5(5(3(5(0(5(5(1(5(x1)))))))))))) -> 1^1(2(3(2(4(3(x1))))))
   3^1(1(0(5(5(3(5(0(5(5(1(5(x1)))))))))))) -> 2^1(3(2(4(3(x1)))))
   3^1(1(0(5(5(3(5(0(5(5(1(5(x1)))))))))))) -> 3^1(2(4(3(x1))))
   3^1(1(0(5(5(3(5(0(5(5(1(5(x1)))))))))))) -> 2^1(4(3(x1)))
   3^1(1(0(5(5(3(5(0(5(5(1(5(x1)))))))))))) -> 4^1(3(x1))
   3^1(1(0(5(5(3(5(0(5(5(1(5(x1)))))))))))) -> 3^1(x1)
   4^1(4(4(2(0(0(2(5(5(5(1(5(x1)))))))))))) -> 5^1(3(3(5(0(2(2(5(2(4(4(2(4(1(5(x1)))))))))))))))
   4^1(4(4(2(0(0(2(5(5(5(1(5(x1)))))))))))) -> 3^1(3(5(0(2(2(5(2(4(4(2(4(1(5(x1))))))))))))))
   4^1(4(4(2(0(0(2(5(5(5(1(5(x1)))))))))))) -> 3^1(5(0(2(2(5(2(4(4(2(4(1(5(x1)))))))))))))
   4^1(4(4(2(0(0(2(5(5(5(1(5(x1)))))))))))) -> 5^1(0(2(2(5(2(4(4(2(4(1(5(x1))))))))))))
   4^1(4(4(2(0(0(2(5(5(5(1(5(x1)))))))))))) -> 0^1(2(2(5(2(4(4(2(4(1(5(x1)))))))))))
   4^1(4(4(2(0(0(2(5(5(5(1(5(x1)))))))))))) -> 2^1(2(5(2(4(4(2(4(1(5(x1))))))))))
   4^1(4(4(2(0(0(2(5(5(5(1(5(x1)))))))))))) -> 2^1(5(2(4(4(2(4(1(5(x1)))))))))
   4^1(4(4(2(0(0(2(5(5(5(1(5(x1)))))))))))) -> 5^1(2(4(4(2(4(1(5(x1))))))))
   4^1(4(4(2(0(0(2(5(5(5(1(5(x1)))))))))))) -> 2^1(4(4(2(4(1(5(x1)))))))
   4^1(4(4(2(0(0(2(5(5(5(1(5(x1)))))))))))) -> 4^1(4(2(4(1(5(x1))))))
   4^1(4(4(2(0(0(2(5(5(5(1(5(x1)))))))))))) -> 4^1(2(4(1(5(x1)))))
   4^1(4(4(2(0(0(2(5(5(5(1(5(x1)))))))))))) -> 2^1(4(1(5(x1))))
   4^1(4(4(2(0(0(2(5(5(5(1(5(x1)))))))))))) -> 4^1(1(5(x1)))
   5^1(4(5(2(1(1(4(5(5(5(1(5(x1)))))))))))) -> 2^1(2(0(2(5(2(1(2(2(3(1(2(4(4(2(5(5(5(x1))))))))))))))))))
   5^1(4(5(2(1(1(4(5(5(5(1(5(x1)))))))))))) -> 2^1(0(2(5(2(1(2(2(3(1(2(4(4(2(5(5(5(x1)))))))))))))))))
   5^1(4(5(2(1(1(4(5(5(5(1(5(x1)))))))))))) -> 0^1(2(5(2(1(2(2(3(1(2(4(4(2(5(5(5(x1))))))))))))))))
   5^1(4(5(2(1(1(4(5(5(5(1(5(x1)))))))))))) -> 2^1(5(2(1(2(2(3(1(2(4(4(2(5(5(5(x1)))))))))))))))
   5^1(4(5(2(1(1(4(5(5(5(1(5(x1)))))))))))) -> 5^1(2(1(2(2(3(1(2(4(4(2(5(5(5(x1))))))))))))))
   5^1(4(5(2(1(1(4(5(5(5(1(5(x1)))))))))))) -> 2^1(1(2(2(3(1(2(4(4(2(5(5(5(x1)))))))))))))
   5^1(4(5(2(1(1(4(5(5(5(1(5(x1)))))))))))) -> 1^1(2(2(3(1(2(4(4(2(5(5(5(x1))))))))))))
   5^1(4(5(2(1(1(4(5(5(5(1(5(x1)))))))))))) -> 2^1(2(3(1(2(4(4(2(5(5(5(x1)))))))))))
   5^1(4(5(2(1(1(4(5(5(5(1(5(x1)))))))))))) -> 2^1(3(1(2(4(4(2(5(5(5(x1))))))))))
   5^1(4(5(2(1(1(4(5(5(5(1(5(x1)))))))))))) -> 3^1(1(2(4(4(2(5(5(5(x1)))))))))
   5^1(4(5(2(1(1(4(5(5(5(1(5(x1)))))))))))) -> 1^1(2(4(4(2(5(5(5(x1))))))))
   5^1(4(5(2(1(1(4(5(5(5(1(5(x1)))))))))))) -> 2^1(4(4(2(5(5(5(x1)))))))
   5^1(4(5(2(1(1(4(5(5(5(1(5(x1)))))))))))) -> 4^1(4(2(5(5(5(x1))))))
   5^1(4(5(2(1(1(4(5(5(5(1(5(x1)))))))))))) -> 4^1(2(5(5(5(x1)))))
   5^1(4(5(2(1(1(4(5(5(5(1(5(x1)))))))))))) -> 2^1(5(5(5(x1))))
   5^1(4(5(2(1(1(4(5(5(5(1(5(x1)))))))))))) -> 5^1(5(5(x1)))
   5^1(4(5(2(1(1(4(5(5(5(1(5(x1)))))))))))) -> 5^1(5(x1))
   3^1(0(1(5(5(4(0(1(5(5(2(5(x1)))))))))))) -> 1^1(3(2(1(2(4(1(2(2(3(5(1(3(2(x1))))))))))))))
   3^1(0(1(5(5(4(0(1(5(5(2(5(x1)))))))))))) -> 3^1(2(1(2(4(1(2(2(3(5(1(3(2(x1)))))))))))))
   3^1(0(1(5(5(4(0(1(5(5(2(5(x1)))))))))))) -> 2^1(1(2(4(1(2(2(3(5(1(3(2(x1))))))))))))
   3^1(0(1(5(5(4(0(1(5(5(2(5(x1)))))))))))) -> 1^1(2(4(1(2(2(3(5(1(3(2(x1)))))))))))
   3^1(0(1(5(5(4(0(1(5(5(2(5(x1)))))))))))) -> 2^1(4(1(2(2(3(5(1(3(2(x1))))))))))
   3^1(0(1(5(5(4(0(1(5(5(2(5(x1)))))))))))) -> 4^1(1(2(2(3(5(1(3(2(x1)))))))))
   3^1(0(1(5(5(4(0(1(5(5(2(5(x1)))))))))))) -> 1^1(2(2(3(5(1(3(2(x1))))))))
   3^1(0(1(5(5(4(0(1(5(5(2(5(x1)))))))))))) -> 2^1(2(3(5(1(3(2(x1)))))))
   3^1(0(1(5(5(4(0(1(5(5(2(5(x1)))))))))))) -> 2^1(3(5(1(3(2(x1))))))
   3^1(0(1(5(5(4(0(1(5(5(2(5(x1)))))))))))) -> 3^1(5(1(3(2(x1)))))
   3^1(0(1(5(5(4(0(1(5(5(2(5(x1)))))))))))) -> 5^1(1(3(2(x1))))
   3^1(0(1(5(5(4(0(1(5(5(2(5(x1)))))))))))) -> 1^1(3(2(x1)))
   3^1(0(1(5(5(4(0(1(5(5(2(5(x1)))))))))))) -> 3^1(2(x1))
   3^1(0(1(5(5(4(0(1(5(5(2(5(x1)))))))))))) -> 2^1(x1)
   3^1(0(5(5(5(0(0(1(5(1(3(5(x1)))))))))))) -> 1^1(4(2(1(4(0(2(3(1(4(2(1(2(4(2(2(3(5(x1))))))))))))))))))
   3^1(0(5(5(5(0(0(1(5(1(3(5(x1)))))))))))) -> 4^1(2(1(4(0(2(3(1(4(2(1(2(4(2(2(3(5(x1)))))))))))))))))
   3^1(0(5(5(5(0(0(1(5(1(3(5(x1)))))))))))) -> 2^1(1(4(0(2(3(1(4(2(1(2(4(2(2(3(5(x1))))))))))))))))
   3^1(0(5(5(5(0(0(1(5(1(3(5(x1)))))))))))) -> 1^1(4(0(2(3(1(4(2(1(2(4(2(2(3(5(x1)))))))))))))))
   3^1(0(5(5(5(0(0(1(5(1(3(5(x1)))))))))))) -> 4^1(0(2(3(1(4(2(1(2(4(2(2(3(5(x1))))))))))))))
   3^1(0(5(5(5(0(0(1(5(1(3(5(x1)))))))))))) -> 0^1(2(3(1(4(2(1(2(4(2(2(3(5(x1)))))))))))))
   3^1(0(5(5(5(0(0(1(5(1(3(5(x1)))))))))))) -> 2^1(3(1(4(2(1(2(4(2(2(3(5(x1))))))))))))
   3^1(0(5(5(5(0(0(1(5(1(3(5(x1)))))))))))) -> 3^1(1(4(2(1(2(4(2(2(3(5(x1)))))))))))
   3^1(0(5(5(5(0(0(1(5(1(3(5(x1)))))))))))) -> 1^1(4(2(1(2(4(2(2(3(5(x1))))))))))
   3^1(0(5(5(5(0(0(1(5(1(3(5(x1)))))))))))) -> 4^1(2(1(2(4(2(2(3(5(x1)))))))))
   3^1(0(5(5(5(0(0(1(5(1(3(5(x1)))))))))))) -> 2^1(1(2(4(2(2(3(5(x1))))))))
   3^1(0(5(5(5(0(0(1(5(1(3(5(x1)))))))))))) -> 1^1(2(4(2(2(3(5(x1)))))))
   3^1(0(5(5(5(0(0(1(5(1(3(5(x1)))))))))))) -> 2^1(4(2(2(3(5(x1))))))
   3^1(0(5(5(5(0(0(1(5(1(3(5(x1)))))))))))) -> 4^1(2(2(3(5(x1)))))
   3^1(0(5(5(5(0(0(1(5(1(3(5(x1)))))))))))) -> 2^1(2(3(5(x1))))
   3^1(0(5(5(5(0(0(1(5(1(3(5(x1)))))))))))) -> 2^1(3(5(x1)))
   3^1(5(4(4(4(5(2(1(3(4(3(5(x1)))))))))))) -> 2^1(2(2(2(2(3(3(1(2(5(2(3(0(4(x1))))))))))))))
   3^1(5(4(4(4(5(2(1(3(4(3(5(x1)))))))))))) -> 2^1(2(2(2(3(3(1(2(5(2(3(0(4(x1)))))))))))))
   3^1(5(4(4(4(5(2(1(3(4(3(5(x1)))))))))))) -> 2^1(2(2(3(3(1(2(5(2(3(0(4(x1))))))))))))
   3^1(5(4(4(4(5(2(1(3(4(3(5(x1)))))))))))) -> 2^1(2(3(3(1(2(5(2(3(0(4(x1)))))))))))
   3^1(5(4(4(4(5(2(1(3(4(3(5(x1)))))))))))) -> 2^1(3(3(1(2(5(2(3(0(4(x1))))))))))
   3^1(5(4(4(4(5(2(1(3(4(3(5(x1)))))))))))) -> 3^1(3(1(2(5(2(3(0(4(x1)))))))))
   3^1(5(4(4(4(5(2(1(3(4(3(5(x1)))))))))))) -> 3^1(1(2(5(2(3(0(4(x1))))))))
   3^1(5(4(4(4(5(2(1(3(4(3(5(x1)))))))))))) -> 1^1(2(5(2(3(0(4(x1)))))))
   3^1(5(4(4(4(5(2(1(3(4(3(5(x1)))))))))))) -> 2^1(5(2(3(0(4(x1))))))
   3^1(5(4(4(4(5(2(1(3(4(3(5(x1)))))))))))) -> 5^1(2(3(0(4(x1)))))
   3^1(5(4(4(4(5(2(1(3(4(3(5(x1)))))))))))) -> 2^1(3(0(4(x1))))
   3^1(5(4(4(4(5(2(1(3(4(3(5(x1)))))))))))) -> 3^1(0(4(x1)))
   3^1(5(4(4(4(5(2(1(3(4(3(5(x1)))))))))))) -> 0^1(4(x1))
   3^1(5(4(4(4(5(2(1(3(4(3(5(x1)))))))))))) -> 4^1(x1)
   1^1(5(1(5(5(4(1(0(0(0(4(5(x1)))))))))))) -> 4^1(3(3(4(1(0(2(2(3(5(2(2(4(0(2(2(x1))))))))))))))))
   1^1(5(1(5(5(4(1(0(0(0(4(5(x1)))))))))))) -> 3^1(3(4(1(0(2(2(3(5(2(2(4(0(2(2(x1)))))))))))))))
   1^1(5(1(5(5(4(1(0(0(0(4(5(x1)))))))))))) -> 3^1(4(1(0(2(2(3(5(2(2(4(0(2(2(x1))))))))))))))
   1^1(5(1(5(5(4(1(0(0(0(4(5(x1)))))))))))) -> 4^1(1(0(2(2(3(5(2(2(4(0(2(2(x1)))))))))))))
   1^1(5(1(5(5(4(1(0(0(0(4(5(x1)))))))))))) -> 1^1(0(2(2(3(5(2(2(4(0(2(2(x1))))))))))))
   1^1(5(1(5(5(4(1(0(0(0(4(5(x1)))))))))))) -> 0^1(2(2(3(5(2(2(4(0(2(2(x1)))))))))))
   1^1(5(1(5(5(4(1(0(0(0(4(5(x1)))))))))))) -> 2^1(2(3(5(2(2(4(0(2(2(x1))))))))))
   1^1(5(1(5(5(4(1(0(0(0(4(5(x1)))))))))))) -> 2^1(3(5(2(2(4(0(2(2(x1)))))))))
   1^1(5(1(5(5(4(1(0(0(0(4(5(x1)))))))))))) -> 3^1(5(2(2(4(0(2(2(x1))))))))
   1^1(5(1(5(5(4(1(0(0(0(4(5(x1)))))))))))) -> 5^1(2(2(4(0(2(2(x1)))))))
   1^1(5(1(5(5(4(1(0(0(0(4(5(x1)))))))))))) -> 2^1(2(4(0(2(2(x1))))))
   1^1(5(1(5(5(4(1(0(0(0(4(5(x1)))))))))))) -> 2^1(4(0(2(2(x1)))))
   1^1(5(1(5(5(4(1(0(0(0(4(5(x1)))))))))))) -> 4^1(0(2(2(x1))))
   1^1(5(1(5(5(4(1(0(0(0(4(5(x1)))))))))))) -> 0^1(2(2(x1)))
   1^1(5(1(5(5(4(1(0(0(0(4(5(x1)))))))))))) -> 2^1(2(x1))
   1^1(5(1(5(5(4(1(0(0(0(4(5(x1)))))))))))) -> 2^1(x1)
   1^1(2(1(1(1(5(5(5(4(1(4(5(x1)))))))))))) -> 2^1(0(2(1(2(0(2(1(5(2(2(2(0(5(3(3(2(4(x1))))))))))))))))))
   1^1(2(1(1(1(5(5(5(4(1(4(5(x1)))))))))))) -> 0^1(2(1(2(0(2(1(5(2(2(2(0(5(3(3(2(4(x1)))))))))))))))))
   1^1(2(1(1(1(5(5(5(4(1(4(5(x1)))))))))))) -> 2^1(1(2(0(2(1(5(2(2(2(0(5(3(3(2(4(x1))))))))))))))))
   1^1(2(1(1(1(5(5(5(4(1(4(5(x1)))))))))))) -> 1^1(2(0(2(1(5(2(2(2(0(5(3(3(2(4(x1)))))))))))))))
   1^1(2(1(1(1(5(5(5(4(1(4(5(x1)))))))))))) -> 2^1(0(2(1(5(2(2(2(0(5(3(3(2(4(x1))))))))))))))
   1^1(2(1(1(1(5(5(5(4(1(4(5(x1)))))))))))) -> 0^1(2(1(5(2(2(2(0(5(3(3(2(4(x1)))))))))))))
   1^1(2(1(1(1(5(5(5(4(1(4(5(x1)))))))))))) -> 2^1(1(5(2(2(2(0(5(3(3(2(4(x1))))))))))))
   1^1(2(1(1(1(5(5(5(4(1(4(5(x1)))))))))))) -> 1^1(5(2(2(2(0(5(3(3(2(4(x1)))))))))))
   1^1(2(1(1(1(5(5(5(4(1(4(5(x1)))))))))))) -> 5^1(2(2(2(0(5(3(3(2(4(x1))))))))))
   1^1(2(1(1(1(5(5(5(4(1(4(5(x1)))))))))))) -> 2^1(2(2(0(5(3(3(2(4(x1)))))))))
   1^1(2(1(1(1(5(5(5(4(1(4(5(x1)))))))))))) -> 2^1(2(0(5(3(3(2(4(x1))))))))
   1^1(2(1(1(1(5(5(5(4(1(4(5(x1)))))))))))) -> 2^1(0(5(3(3(2(4(x1)))))))
   1^1(2(1(1(1(5(5(5(4(1(4(5(x1)))))))))))) -> 0^1(5(3(3(2(4(x1))))))
   1^1(2(1(1(1(5(5(5(4(1(4(5(x1)))))))))))) -> 5^1(3(3(2(4(x1)))))
   1^1(2(1(1(1(5(5(5(4(1(4(5(x1)))))))))))) -> 3^1(3(2(4(x1))))
   1^1(2(1(1(1(5(5(5(4(1(4(5(x1)))))))))))) -> 3^1(2(4(x1)))
   1^1(2(1(1(1(5(5(5(4(1(4(5(x1)))))))))))) -> 2^1(4(x1))
   1^1(2(1(1(1(5(5(5(4(1(4(5(x1)))))))))))) -> 4^1(x1)
   0^1(0(2(5(4(3(0(1(5(1(4(5(x1)))))))))))) -> 0^1(1(0(4(2(5(2(2(0(3(0(2(2(2(2(1(2(0(x1))))))))))))))))))
   0^1(0(2(5(4(3(0(1(5(1(4(5(x1)))))))))))) -> 1^1(0(4(2(5(2(2(0(3(0(2(2(2(2(1(2(0(x1)))))))))))))))))
   0^1(0(2(5(4(3(0(1(5(1(4(5(x1)))))))))))) -> 0^1(4(2(5(2(2(0(3(0(2(2(2(2(1(2(0(x1))))))))))))))))
   0^1(0(2(5(4(3(0(1(5(1(4(5(x1)))))))))))) -> 4^1(2(5(2(2(0(3(0(2(2(2(2(1(2(0(x1)))))))))))))))
   0^1(0(2(5(4(3(0(1(5(1(4(5(x1)))))))))))) -> 2^1(5(2(2(0(3(0(2(2(2(2(1(2(0(x1))))))))))))))
   0^1(0(2(5(4(3(0(1(5(1(4(5(x1)))))))))))) -> 5^1(2(2(0(3(0(2(2(2(2(1(2(0(x1)))))))))))))
   0^1(0(2(5(4(3(0(1(5(1(4(5(x1)))))))))))) -> 2^1(2(0(3(0(2(2(2(2(1(2(0(x1))))))))))))
   0^1(0(2(5(4(3(0(1(5(1(4(5(x1)))))))))))) -> 2^1(0(3(0(2(2(2(2(1(2(0(x1)))))))))))
   0^1(0(2(5(4(3(0(1(5(1(4(5(x1)))))))))))) -> 0^1(3(0(2(2(2(2(1(2(0(x1))))))))))
   0^1(0(2(5(4(3(0(1(5(1(4(5(x1)))))))))))) -> 3^1(0(2(2(2(2(1(2(0(x1)))))))))
   0^1(0(2(5(4(3(0(1(5(1(4(5(x1)))))))))))) -> 0^1(2(2(2(2(1(2(0(x1))))))))
   0^1(0(2(5(4(3(0(1(5(1(4(5(x1)))))))))))) -> 2^1(2(2(2(1(2(0(x1)))))))
   0^1(0(2(5(4(3(0(1(5(1(4(5(x1)))))))))))) -> 2^1(2(2(1(2(0(x1))))))
   0^1(0(2(5(4(3(0(1(5(1(4(5(x1)))))))))))) -> 2^1(2(1(2(0(x1)))))
   0^1(0(2(5(4(3(0(1(5(1(4(5(x1)))))))))))) -> 2^1(1(2(0(x1))))
   0^1(0(2(5(4(3(0(1(5(1(4(5(x1)))))))))))) -> 1^1(2(0(x1)))
   0^1(0(2(5(4(3(0(1(5(1(4(5(x1)))))))))))) -> 2^1(0(x1))
   0^1(0(2(5(4(3(0(1(5(1(4(5(x1)))))))))))) -> 0^1(x1)
   5^1(4(0(5(0(0(4(4(1(3(4(5(x1)))))))))))) -> 3^1(3(2(2(0(3(2(5(4(3(4(1(5(2(2(x1)))))))))))))))
   5^1(4(0(5(0(0(4(4(1(3(4(5(x1)))))))))))) -> 3^1(2(2(0(3(2(5(4(3(4(1(5(2(2(x1))))))))))))))
   5^1(4(0(5(0(0(4(4(1(3(4(5(x1)))))))))))) -> 2^1(2(0(3(2(5(4(3(4(1(5(2(2(x1)))))))))))))
   5^1(4(0(5(0(0(4(4(1(3(4(5(x1)))))))))))) -> 2^1(0(3(2(5(4(3(4(1(5(2(2(x1))))))))))))
   5^1(4(0(5(0(0(4(4(1(3(4(5(x1)))))))))))) -> 0^1(3(2(5(4(3(4(1(5(2(2(x1)))))))))))
   5^1(4(0(5(0(0(4(4(1(3(4(5(x1)))))))))))) -> 3^1(2(5(4(3(4(1(5(2(2(x1))))))))))
   5^1(4(0(5(0(0(4(4(1(3(4(5(x1)))))))))))) -> 2^1(5(4(3(4(1(5(2(2(x1)))))))))
   5^1(4(0(5(0(0(4(4(1(3(4(5(x1)))))))))))) -> 5^1(4(3(4(1(5(2(2(x1))))))))
   5^1(4(0(5(0(0(4(4(1(3(4(5(x1)))))))))))) -> 4^1(3(4(1(5(2(2(x1)))))))
   5^1(4(0(5(0(0(4(4(1(3(4(5(x1)))))))))))) -> 3^1(4(1(5(2(2(x1))))))
   5^1(4(0(5(0(0(4(4(1(3(4(5(x1)))))))))))) -> 4^1(1(5(2(2(x1)))))
   5^1(4(0(5(0(0(4(4(1(3(4(5(x1)))))))))))) -> 1^1(5(2(2(x1))))
   5^1(4(0(5(0(0(4(4(1(3(4(5(x1)))))))))))) -> 5^1(2(2(x1)))
   5^1(4(0(5(0(0(4(4(1(3(4(5(x1)))))))))))) -> 2^1(2(x1))
   5^1(4(0(5(0(0(4(4(1(3(4(5(x1)))))))))))) -> 2^1(x1)
   1^1(4(4(1(5(2(2(2(0(5(4(5(x1)))))))))))) -> 0^1(5(2(2(2(2(2(2(2(0(1(4(2(4(4(x1)))))))))))))))
   1^1(4(4(1(5(2(2(2(0(5(4(5(x1)))))))))))) -> 5^1(2(2(2(2(2(2(2(0(1(4(2(4(4(x1))))))))))))))
   1^1(4(4(1(5(2(2(2(0(5(4(5(x1)))))))))))) -> 2^1(2(2(2(2(2(2(0(1(4(2(4(4(x1)))))))))))))
   1^1(4(4(1(5(2(2(2(0(5(4(5(x1)))))))))))) -> 2^1(2(2(2(2(2(0(1(4(2(4(4(x1))))))))))))
   1^1(4(4(1(5(2(2(2(0(5(4(5(x1)))))))))))) -> 2^1(2(2(2(2(0(1(4(2(4(4(x1)))))))))))
   1^1(4(4(1(5(2(2(2(0(5(4(5(x1)))))))))))) -> 2^1(2(2(2(0(1(4(2(4(4(x1))))))))))
   1^1(4(4(1(5(2(2(2(0(5(4(5(x1)))))))))))) -> 2^1(2(2(0(1(4(2(4(4(x1)))))))))
   1^1(4(4(1(5(2(2(2(0(5(4(5(x1)))))))))))) -> 2^1(2(0(1(4(2(4(4(x1))))))))
   1^1(4(4(1(5(2(2(2(0(5(4(5(x1)))))))))))) -> 2^1(0(1(4(2(4(4(x1)))))))
   1^1(4(4(1(5(2(2(2(0(5(4(5(x1)))))))))))) -> 0^1(1(4(2(4(4(x1))))))
   1^1(4(4(1(5(2(2(2(0(5(4(5(x1)))))))))))) -> 1^1(4(2(4(4(x1)))))
   1^1(4(4(1(5(2(2(2(0(5(4(5(x1)))))))))))) -> 4^1(2(4(4(x1))))
   1^1(4(4(1(5(2(2(2(0(5(4(5(x1)))))))))))) -> 2^1(4(4(x1)))
   1^1(4(4(1(5(2(2(2(0(5(4(5(x1)))))))))))) -> 4^1(4(x1))
   1^1(4(4(1(5(2(2(2(0(5(4(5(x1)))))))))))) -> 4^1(x1)
   3^1(4(4(1(5(0(3(0(0(0(5(5(x1)))))))))))) -> 3^1(4(0(1(5(1(2(1(1(2(2(2(4(2(2(3(2(4(x1))))))))))))))))))
   3^1(4(4(1(5(0(3(0(0(0(5(5(x1)))))))))))) -> 4^1(0(1(5(1(2(1(1(2(2(2(4(2(2(3(2(4(x1)))))))))))))))))
   3^1(4(4(1(5(0(3(0(0(0(5(5(x1)))))))))))) -> 0^1(1(5(1(2(1(1(2(2(2(4(2(2(3(2(4(x1))))))))))))))))
   3^1(4(4(1(5(0(3(0(0(0(5(5(x1)))))))))))) -> 1^1(5(1(2(1(1(2(2(2(4(2(2(3(2(4(x1)))))))))))))))
   3^1(4(4(1(5(0(3(0(0(0(5(5(x1)))))))))))) -> 5^1(1(2(1(1(2(2(2(4(2(2(3(2(4(x1))))))))))))))
   3^1(4(4(1(5(0(3(0(0(0(5(5(x1)))))))))))) -> 1^1(2(1(1(2(2(2(4(2(2(3(2(4(x1)))))))))))))
   3^1(4(4(1(5(0(3(0(0(0(5(5(x1)))))))))))) -> 2^1(1(1(2(2(2(4(2(2(3(2(4(x1))))))))))))
   3^1(4(4(1(5(0(3(0(0(0(5(5(x1)))))))))))) -> 1^1(1(2(2(2(4(2(2(3(2(4(x1)))))))))))
   3^1(4(4(1(5(0(3(0(0(0(5(5(x1)))))))))))) -> 1^1(2(2(2(4(2(2(3(2(4(x1))))))))))
   3^1(4(4(1(5(0(3(0(0(0(5(5(x1)))))))))))) -> 2^1(2(2(4(2(2(3(2(4(x1)))))))))
   3^1(4(4(1(5(0(3(0(0(0(5(5(x1)))))))))))) -> 2^1(2(4(2(2(3(2(4(x1))))))))
   3^1(4(4(1(5(0(3(0(0(0(5(5(x1)))))))))))) -> 2^1(4(2(2(3(2(4(x1)))))))
   3^1(4(4(1(5(0(3(0(0(0(5(5(x1)))))))))))) -> 4^1(2(2(3(2(4(x1))))))
   3^1(4(4(1(5(0(3(0(0(0(5(5(x1)))))))))))) -> 2^1(2(3(2(4(x1)))))
   3^1(4(4(1(5(0(3(0(0(0(5(5(x1)))))))))))) -> 2^1(3(2(4(x1))))
   3^1(4(4(1(5(0(3(0(0(0(5(5(x1)))))))))))) -> 3^1(2(4(x1)))
   3^1(4(4(1(5(0(3(0(0(0(5(5(x1)))))))))))) -> 2^1(4(x1))
   3^1(4(4(1(5(0(3(0(0(0(5(5(x1)))))))))))) -> 4^1(x1)
   3^1(3(5(3(4(4(5(4(1(0(5(5(x1)))))))))))) -> 2^1(3(0(2(1(2(1(5(2(1(2(4(1(1(5(x1)))))))))))))))
   3^1(3(5(3(4(4(5(4(1(0(5(5(x1)))))))))))) -> 3^1(0(2(1(2(1(5(2(1(2(4(1(1(5(x1))))))))))))))
   3^1(3(5(3(4(4(5(4(1(0(5(5(x1)))))))))))) -> 0^1(2(1(2(1(5(2(1(2(4(1(1(5(x1)))))))))))))
   3^1(3(5(3(4(4(5(4(1(0(5(5(x1)))))))))))) -> 2^1(1(2(1(5(2(1(2(4(1(1(5(x1))))))))))))
   3^1(3(5(3(4(4(5(4(1(0(5(5(x1)))))))))))) -> 1^1(2(1(5(2(1(2(4(1(1(5(x1)))))))))))
   3^1(3(5(3(4(4(5(4(1(0(5(5(x1)))))))))))) -> 2^1(1(5(2(1(2(4(1(1(5(x1))))))))))
   3^1(3(5(3(4(4(5(4(1(0(5(5(x1)))))))))))) -> 1^1(5(2(1(2(4(1(1(5(x1)))))))))
   3^1(3(5(3(4(4(5(4(1(0(5(5(x1)))))))))))) -> 5^1(2(1(2(4(1(1(5(x1))))))))
   3^1(3(5(3(4(4(5(4(1(0(5(5(x1)))))))))))) -> 2^1(1(2(4(1(1(5(x1)))))))
   3^1(3(5(3(4(4(5(4(1(0(5(5(x1)))))))))))) -> 1^1(2(4(1(1(5(x1))))))
   3^1(3(5(3(4(4(5(4(1(0(5(5(x1)))))))))))) -> 2^1(4(1(1(5(x1)))))
   3^1(3(5(3(4(4(5(4(1(0(5(5(x1)))))))))))) -> 4^1(1(1(5(x1))))
   3^1(3(5(3(4(4(5(4(1(0(5(5(x1)))))))))))) -> 1^1(1(5(x1)))
   3^1(3(5(3(4(4(5(4(1(0(5(5(x1)))))))))))) -> 1^1(5(x1))
   0^1(4(5(2(0(0(1(0(0(3(5(5(x1)))))))))))) -> 5^1(2(5(2(2(5(2(5(2(1(4(1(3(3(5(x1)))))))))))))))
   0^1(4(5(2(0(0(1(0(0(3(5(5(x1)))))))))))) -> 2^1(5(2(2(5(2(5(2(1(4(1(3(3(5(x1))))))))))))))
   0^1(4(5(2(0(0(1(0(0(3(5(5(x1)))))))))))) -> 5^1(2(2(5(2(5(2(1(4(1(3(3(5(x1)))))))))))))
   0^1(4(5(2(0(0(1(0(0(3(5(5(x1)))))))))))) -> 2^1(2(5(2(5(2(1(4(1(3(3(5(x1))))))))))))
   0^1(4(5(2(0(0(1(0(0(3(5(5(x1)))))))))))) -> 2^1(5(2(5(2(1(4(1(3(3(5(x1)))))))))))
   0^1(4(5(2(0(0(1(0(0(3(5(5(x1)))))))))))) -> 5^1(2(5(2(1(4(1(3(3(5(x1))))))))))
   0^1(4(5(2(0(0(1(0(0(3(5(5(x1)))))))))))) -> 2^1(5(2(1(4(1(3(3(5(x1)))))))))
   0^1(4(5(2(0(0(1(0(0(3(5(5(x1)))))))))))) -> 5^1(2(1(4(1(3(3(5(x1))))))))
   0^1(4(5(2(0(0(1(0(0(3(5(5(x1)))))))))))) -> 2^1(1(4(1(3(3(5(x1)))))))
   0^1(4(5(2(0(0(1(0(0(3(5(5(x1)))))))))))) -> 1^1(4(1(3(3(5(x1))))))
   0^1(4(5(2(0(0(1(0(0(3(5(5(x1)))))))))))) -> 4^1(1(3(3(5(x1)))))
   0^1(4(5(2(0(0(1(0(0(3(5(5(x1)))))))))))) -> 1^1(3(3(5(x1))))
   0^1(4(5(2(0(0(1(0(0(3(5(5(x1)))))))))))) -> 3^1(3(5(x1)))
   0^1(4(5(2(0(0(1(0(0(3(5(5(x1)))))))))))) -> 3^1(5(x1))
   3^1(5(5(1(5(1(4(0(0(4(5(5(x1)))))))))))) -> 3^1(4(5(1(3(3(2(1(2(3(3(5(5(4(2(1(x1))))))))))))))))
   3^1(5(5(1(5(1(4(0(0(4(5(5(x1)))))))))))) -> 4^1(5(1(3(3(2(1(2(3(3(5(5(4(2(1(x1)))))))))))))))
   3^1(5(5(1(5(1(4(0(0(4(5(5(x1)))))))))))) -> 5^1(1(3(3(2(1(2(3(3(5(5(4(2(1(x1))))))))))))))
   3^1(5(5(1(5(1(4(0(0(4(5(5(x1)))))))))))) -> 1^1(3(3(2(1(2(3(3(5(5(4(2(1(x1)))))))))))))
   3^1(5(5(1(5(1(4(0(0(4(5(5(x1)))))))))))) -> 3^1(3(2(1(2(3(3(5(5(4(2(1(x1))))))))))))
   3^1(5(5(1(5(1(4(0(0(4(5(5(x1)))))))))))) -> 3^1(2(1(2(3(3(5(5(4(2(1(x1)))))))))))
   3^1(5(5(1(5(1(4(0(0(4(5(5(x1)))))))))))) -> 2^1(1(2(3(3(5(5(4(2(1(x1))))))))))
   3^1(5(5(1(5(1(4(0(0(4(5(5(x1)))))))))))) -> 1^1(2(3(3(5(5(4(2(1(x1)))))))))
   3^1(5(5(1(5(1(4(0(0(4(5(5(x1)))))))))))) -> 2^1(3(3(5(5(4(2(1(x1))))))))
   3^1(5(5(1(5(1(4(0(0(4(5(5(x1)))))))))))) -> 3^1(3(5(5(4(2(1(x1)))))))
   3^1(5(5(1(5(1(4(0(0(4(5(5(x1)))))))))))) -> 3^1(5(5(4(2(1(x1))))))
   3^1(5(5(1(5(1(4(0(0(4(5(5(x1)))))))))))) -> 5^1(5(4(2(1(x1)))))
   3^1(5(5(1(5(1(4(0(0(4(5(5(x1)))))))))))) -> 5^1(4(2(1(x1))))
   3^1(5(5(1(5(1(4(0(0(4(5(5(x1)))))))))))) -> 4^1(2(1(x1)))
   3^1(5(5(1(5(1(4(0(0(4(5(5(x1)))))))))))) -> 2^1(1(x1))
   3^1(5(5(1(5(1(4(0(0(4(5(5(x1)))))))))))) -> 1^1(x1)
The remaining pairs can at least be oriented weakly.
Used ordering:  Polynomial Order [NEGPOLO,POLO] with Interpretation:

POL( 0^1_1(x_1) ) = x_1 + 2
POL( 1^1_1(x_1) ) = x_1 + 2
POL( 2^1_1(x_1) ) = max{0, x_1 - 1}
POL( 3^1_1(x_1) ) = max{0, x_1 - 2}
POL( 4^1_1(x_1) ) = x_1 + 2
POL( 5^1_1(x_1) ) = x_1 + 2
POL( 1_1(x_1) ) = x_1 + 1
POL( 5_1(x_1) ) = x_1 + 2
POL( 0_1(x_1) ) = x_1 + 2
POL( 3_1(x_1) ) = x_1 + 1
POL( 4_1(x_1) ) = x_1 + 2
POL( 2_1(x_1) ) = max{0, x_1 - 2}

The following usable rules [FROCOS05] with respect to the argument filtering of the ordering [JAR06] were oriented:

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


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

(6)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

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

The TRS R consists of the following rules:

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

Q is empty.
We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(7) DependencyGraphProof (EQUIVALENT)
The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 4 less nodes.
----------------------------------------

(8)
TRUE