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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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, 7619 ms]
(4) QDP
(5) DependencyGraphProof [EQUIVALENT, 5 ms]
(6) QDP
(7) QDPOrderProof [EQUIVALENT, 1461 ms]
(8) QDP
(9) PisEmptyProof [EQUIVALENT, 0 ms]
(10) YES


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

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

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

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

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

The TRS R consists of the following rules:

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

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

(5) DependencyGraphProof (EQUIVALENT)
The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 1 SCC with 788 less nodes.
----------------------------------------

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

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

The TRS R consists of the following rules:

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

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

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


The following pairs can be oriented strictly and are deleted.

   2^1(4(4(2(1(1(4(1(0(1(2(1(0(1(4(0(1(1(1(0(x1)))))))))))))))))))) -> 2^1(1(4(4(x1))))
   2^1(1(4(4(0(3(1(2(2(0(2(2(0(2(1(1(0(1(2(2(x1)))))))))))))))))))) -> 2^1(1(2(1(x1))))
   2^1(1(2(1(0(3(1(3(0(2(1(1(0(4(3(3(1(2(0(2(x1)))))))))))))))))))) -> 2^1(2(2(x1)))
   2^1(2(2(2(4(4(4(2(4(1(0(4(2(3(3(0(4(4(0(2(x1)))))))))))))))))))) -> 2^1(0(x1))
   2^1(0(3(2(4(3(1(1(1(1(2(3(1(1(3(0(2(2(1(0(x1)))))))))))))))))))) -> 2^1(0(1(4(2(3(2(3(3(4(2(4(x1))))))))))))
   2^1(0(2(4(0(2(2(0(1(2(0(2(3(2(4(2(4(3(2(1(x1)))))))))))))))))))) -> 1^1(1(1(x1)))
   1^1(1(1(2(0(2(0(0(3(4(0(0(0(0(1(1(3(1(4(1(x1)))))))))))))))))))) -> 1^1(2(x1))
   1^1(2(2(1(3(4(4(3(0(0(2(2(0(1(1(2(1(0(2(0(x1)))))))))))))))))))) -> 2^1(0(3(x1)))
   2^1(0(3(2(4(3(1(1(1(1(2(3(1(1(3(0(2(2(1(0(x1)))))))))))))))))))) -> 2^1(4(x1))
   2^1(4(3(2(1(4(3(3(4(0(3(4(0(4(4(1(3(0(1(2(x1)))))))))))))))))))) -> 2^1(0(2(2(4(4(1(4(1(x1)))))))))
   2^1(0(2(4(0(2(2(0(1(2(0(2(3(2(4(2(4(3(2(1(x1)))))))))))))))))))) -> 1^1(1(x1))
   1^1(1(2(1(4(0(0(3(3(3(4(0(4(4(3(3(1(1(2(0(x1)))))))))))))))))))) -> 1^1(2(2(x1)))
   1^1(2(2(2(2(3(3(2(4(0(3(2(3(2(4(1(4(3(3(0(x1)))))))))))))))))))) -> 2^1(4(0(x1)))
   2^1(4(0(1(0(2(1(0(1(0(0(2(4(3(3(1(4(3(1(2(x1)))))))))))))))))))) -> 1^1(1(2(x1)))
   1^1(1(2(1(4(0(0(3(3(3(4(0(4(4(3(3(1(1(2(0(x1)))))))))))))))))))) -> 2^1(2(x1))
   2^1(2(4(0(1(3(2(1(1(4(3(4(2(3(2(1(1(3(1(0(x1)))))))))))))))))))) -> 2^1(2(x1))
   2^1(2(4(0(1(3(2(1(1(4(3(4(2(3(2(1(1(3(1(0(x1)))))))))))))))))))) -> 2^1(x1)
   2^1(1(0(3(4(0(2(3(2(2(0(3(0(2(0(4(0(2(1(0(x1)))))))))))))))))))) -> 1^1(x1)
   1^1(1(2(1(4(0(0(3(3(3(4(0(4(4(3(3(1(1(2(0(x1)))))))))))))))))))) -> 2^1(x1)
   2^1(0(0(1(3(4(4(4(0(0(2(1(1(0(3(3(3(3(1(0(x1)))))))))))))))))))) -> 2^1(0(2(x1)))
   2^1(0(2(1(1(2(2(2(3(1(3(3(0(1(1(2(2(0(4(3(x1)))))))))))))))))))) -> 2^1(0(2(4(3(2(0(3(x1))))))))
   2^1(0(2(1(1(2(2(2(3(1(3(3(0(1(1(2(2(0(4(3(x1)))))))))))))))))))) -> 2^1(0(3(x1)))
   2^1(0(0(1(3(4(4(4(0(0(2(1(1(0(3(3(3(3(1(0(x1)))))))))))))))))))) -> 2^1(x1)
   2^1(3(2(2(2(3(3(4(4(2(2(1(3(0(4(0(0(0(2(0(x1)))))))))))))))))))) -> 2^1(1(3(x1)))
   2^1(1(3(3(0(1(3(3(4(1(3(4(1(2(1(0(2(0(4(0(x1)))))))))))))))))))) -> 2^1(0(1(2(x1))))
   2^1(0(1(2(0(1(0(4(0(1(4(1(3(0(4(4(2(2(4(3(x1)))))))))))))))))))) -> 2^1(0(x1))
   2^1(0(0(1(1(3(0(4(2(2(2(0(3(1(0(0(2(0(3(3(x1)))))))))))))))))))) -> 1^1(2(0(4(x1))))
   1^1(2(0(4(4(1(3(3(4(2(1(0(2(0(2(3(3(2(0(3(x1)))))))))))))))))))) -> 1^1(1(1(2(0(2(x1))))))
   1^1(1(1(2(0(2(0(0(3(4(0(0(0(0(1(1(3(1(4(1(x1)))))))))))))))))))) -> 2^1(x1)
   2^1(3(2(1(1(3(1(2(3(3(2(0(1(1(0(2(3(4(3(0(x1)))))))))))))))))))) -> 2^1(2(1(x1)))
   2^1(2(1(2(1(0(1(3(2(3(3(1(4(3(4(4(2(3(4(0(x1)))))))))))))))))))) -> 1^1(1(x1))
   1^1(1(1(2(0(1(2(4(0(2(0(3(4(2(2(3(2(0(1(3(x1)))))))))))))))))))) -> 1^1(x1)
   1^1(2(2(0(0(2(0(2(2(3(2(1(2(0(3(4(0(4(4(0(x1)))))))))))))))))))) -> 1^1(2(0(x1)))
   1^1(2(0(4(4(1(3(3(4(2(1(0(2(0(2(3(3(2(0(3(x1)))))))))))))))))))) -> 2^1(0(2(x1)))
   1^1(2(0(4(4(1(3(3(4(2(1(0(2(0(2(3(3(2(0(3(x1)))))))))))))))))))) -> 2^1(x1)
   2^1(3(2(1(1(3(1(2(3(3(2(0(1(1(0(2(3(4(3(0(x1)))))))))))))))))))) -> 2^1(1(x1))
   2^1(1(3(3(0(1(3(3(4(1(3(4(1(2(1(0(2(0(4(0(x1)))))))))))))))))))) -> 1^1(2(x1))
   1^1(2(2(0(0(2(0(2(2(3(2(1(2(0(3(4(0(4(4(0(x1)))))))))))))))))))) -> 2^1(0(x1))
   1^1(2(1(0(3(4(2(2(3(4(0(2(2(3(1(0(2(1(0(2(x1)))))))))))))))))))) -> 2^1(0(x1))
   1^1(2(3(4(0(2(4(4(1(1(0(3(2(4(1(3(0(2(1(2(x1)))))))))))))))))))) -> 2^1(1(x1))
   2^1(1(3(3(0(1(3(3(4(1(3(4(1(2(1(0(2(0(4(0(x1)))))))))))))))))))) -> 2^1(x1)
   2^1(3(2(1(1(3(1(2(3(3(2(0(1(1(0(2(3(4(3(0(x1)))))))))))))))))))) -> 1^1(x1)
   1^1(2(3(4(0(2(4(4(1(1(0(3(2(4(1(3(0(2(1(2(x1)))))))))))))))))))) -> 1^1(x1)
   1^1(2(2(4(0(1(4(0(4(0(4(2(3(0(3(4(1(2(2(2(x1)))))))))))))))))))) -> 1^1(1(x1))
   1^1(1(2(1(1(3(4(3(4(0(0(4(0(2(3(0(2(1(1(3(x1)))))))))))))))))))) -> 2^1(4(x1))
   2^1(4(3(2(1(4(3(3(4(0(3(4(0(4(4(1(3(0(1(2(x1)))))))))))))))))))) -> 1^1(x1)
   1^1(2(2(4(0(1(4(0(4(0(4(2(3(0(3(4(1(2(2(2(x1)))))))))))))))))))) -> 1^1(x1)
   1^1(2(2(4(1(1(0(0(2(0(1(3(2(2(4(2(0(4(4(2(x1)))))))))))))))))))) -> 2^1(0(x1))
   1^1(2(3(3(4(3(3(3(2(0(2(2(2(1(0(3(2(1(0(3(x1)))))))))))))))))))) -> 2^1(0(x1))
   1^1(2(4(1(3(1(0(1(0(1(0(3(2(3(3(2(3(4(0(3(x1)))))))))))))))))))) -> 2^1(3(1(4(x1))))
   2^1(3(1(4(1(2(0(1(2(0(2(3(4(3(3(2(2(4(3(2(x1)))))))))))))))))))) -> 1^1(x1)
   1^1(2(4(1(3(1(0(1(0(1(0(3(2(3(3(2(3(4(0(3(x1)))))))))))))))))))) -> 1^1(4(x1))
   1^1(4(2(4(1(0(0(0(3(0(2(3(1(1(3(4(3(0(2(3(x1)))))))))))))))))))) -> 2^1(0(2(3(3(x1)))))
   1^1(4(2(4(1(0(0(0(3(0(2(3(1(1(3(4(3(0(2(3(x1)))))))))))))))))))) -> 2^1(3(3(x1)))
   2^1(3(3(3(2(1(1(0(4(0(0(0(2(2(1(4(1(4(0(1(x1)))))))))))))))))))) -> 2^1(2(2(2(x1))))
   2^1(3(3(3(2(1(1(0(4(0(0(0(2(2(1(4(1(4(0(1(x1)))))))))))))))))))) -> 2^1(2(2(x1)))
   2^1(2(2(3(0(2(1(0(4(2(2(1(0(2(0(0(0(3(0(3(x1)))))))))))))))))))) -> 2^1(4(4(x1)))
   2^1(3(3(3(2(1(1(0(4(0(0(0(2(2(1(4(1(4(0(1(x1)))))))))))))))))))) -> 2^1(2(x1))
   2^1(2(1(2(1(0(1(3(2(3(3(1(4(3(4(4(2(3(4(0(x1)))))))))))))))))))) -> 1^1(x1)
   1^1(2(3(3(0(0(0(2(0(3(1(3(0(1(4(2(2(3(1(3(x1)))))))))))))))))))) -> 1^1(x1)
   1^1(2(0(0(4(3(3(2(0(0(4(1(0(1(0(4(3(3(4(4(x1)))))))))))))))))))) -> 1^1(x1)
   2^1(2(3(2(0(2(2(4(0(3(1(1(1(2(4(0(1(0(1(2(x1)))))))))))))))))))) -> 2^1(3(x1))
   2^1(3(3(3(2(1(1(0(4(0(0(0(2(2(1(4(1(4(0(1(x1)))))))))))))))))))) -> 2^1(x1)
   2^1(3(4(4(4(3(2(3(0(4(2(1(2(4(3(0(3(2(1(1(x1)))))))))))))))))))) -> 2^1(4(3(x1)))
   2^1(4(3(2(3(0(0(3(1(4(1(3(3(0(1(0(0(2(3(2(x1)))))))))))))))))))) -> 2^1(1(x1))
   2^1(1(2(1(0(3(1(3(0(2(1(1(0(4(3(3(1(2(0(2(x1)))))))))))))))))))) -> 2^1(2(x1))
   2^1(2(4(2(4(4(4(2(3(0(2(3(2(0(4(4(3(2(1(2(x1)))))))))))))))))))) -> 1^1(1(x1))
   2^1(2(4(2(4(4(4(2(3(0(2(3(2(0(4(4(3(2(1(2(x1)))))))))))))))))))) -> 1^1(x1)
   2^1(2(4(0(3(0(2(2(3(4(2(4(3(3(1(1(2(3(3(3(x1)))))))))))))))))))) -> 1^1(x1)
   2^1(2(4(4(1(1(2(3(3(4(2(4(3(1(2(1(4(1(0(4(x1)))))))))))))))))))) -> 2^1(4(x1))
   2^1(4(3(2(3(0(0(3(1(4(1(3(3(0(1(0(0(2(3(2(x1)))))))))))))))))))) -> 1^1(x1)
   2^1(4(0(3(0(3(4(0(1(0(4(3(2(0(2(2(3(4(2(3(x1)))))))))))))))))))) -> 2^1(1(0(x1)))
   2^1(1(0(4(1(4(3(2(3(4(3(0(2(2(1(4(0(1(2(3(x1)))))))))))))))))))) -> 2^1(0(x1))
   2^1(4(1(4(3(2(1(4(4(3(0(3(2(4(1(1(4(3(3(3(x1)))))))))))))))))))) -> 2^1(0(x1))
   2^1(4(3(4(3(1(1(4(0(3(2(1(1(2(2(3(4(3(1(4(x1)))))))))))))))))))) -> 2^1(x1)
   2^1(3(2(0(3(1(4(4(2(3(0(0(0(3(4(1(4(0(2(1(x1)))))))))))))))))))) -> 2^1(3(1(x1)))
   2^1(3(1(1(2(2(0(1(0(0(1(4(4(0(0(3(2(0(4(1(x1)))))))))))))))))))) -> 1^1(4(2(4(x1))))
   2^1(3(1(1(2(2(0(1(0(0(1(4(4(0(0(3(2(0(4(1(x1)))))))))))))))))))) -> 2^1(4(x1))
   2^1(3(3(2(0(4(4(4(1(3(4(0(1(0(1(0(2(1(0(2(x1)))))))))))))))))))) -> 1^1(4(x1))
   2^1(3(2(4(1(3(3(2(0(0(2(3(3(3(1(2(4(4(0(2(x1)))))))))))))))))))) -> 2^1(0(2(1(2(1(2(0(0(x1)))))))))
   2^1(3(2(4(1(3(3(2(0(0(2(3(3(3(1(2(4(4(0(2(x1)))))))))))))))))))) -> 1^1(2(0(0(x1))))
   2^1(3(2(4(1(3(3(2(0(0(2(3(3(3(1(2(4(4(0(2(x1)))))))))))))))))))) -> 2^1(0(0(x1)))
   2^1(1(4(4(0(3(1(2(2(0(2(2(0(2(1(1(0(1(2(2(x1)))))))))))))))))))) -> 1^1(2(1(x1)))
   2^1(1(4(4(0(3(1(2(2(0(2(2(0(2(1(1(0(1(2(2(x1)))))))))))))))))))) -> 2^1(1(x1))
   2^1(1(4(4(0(3(1(2(2(0(2(2(0(2(1(1(0(1(2(2(x1)))))))))))))))))))) -> 1^1(x1)
   2^1(1(4(3(3(1(3(2(2(4(4(3(1(0(3(3(1(1(1(3(x1)))))))))))))))))))) -> 1^1(x1)
   2^1(1(1(1(2(4(1(0(3(2(2(0(2(0(3(4(1(0(2(3(x1)))))))))))))))))))) -> 2^1(1(3(0(x1))))
   2^1(1(3(0(2(2(3(3(3(0(3(4(3(4(1(1(2(4(4(3(x1)))))))))))))))))))) -> 2^1(x1)
   2^1(3(3(1(3(1(0(1(0(3(2(2(1(2(1(3(4(0(4(2(x1)))))))))))))))))))) -> 2^1(0(x1))
   2^1(3(3(2(4(3(2(1(0(0(2(3(3(4(2(3(3(1(0(4(x1)))))))))))))))))))) -> 2^1(x1)
   2^1(3(4(3(0(2(0(2(4(0(4(3(2(0(0(0(2(0(1(4(x1)))))))))))))))))))) -> 1^1(1(1(2(x1))))
   2^1(3(4(3(0(2(0(2(4(0(4(3(2(0(0(0(2(0(1(4(x1)))))))))))))))))))) -> 1^1(1(2(x1)))
   2^1(3(4(3(0(2(0(2(4(0(4(3(2(0(0(0(2(0(1(4(x1)))))))))))))))))))) -> 1^1(2(x1))
   2^1(3(4(3(0(2(0(2(4(0(4(3(2(0(0(0(2(0(1(4(x1)))))))))))))))))))) -> 2^1(x1)
   2^1(2(4(4(3(1(1(1(4(0(1(1(1(1(4(3(0(3(2(4(x1)))))))))))))))))))) -> 2^1(x1)
The remaining pairs can at least be oriented weakly.
Used ordering:  Polynomial interpretation [POLO]:

   POL(0(x_1)) = 1 + x_1
   POL(1(x_1)) = 1 + x_1
   POL(1^1(x_1)) = 1 + x_1
   POL(2(x_1)) = 1 + x_1
   POL(2^1(x_1)) = x_1
   POL(3(x_1)) = 1 + x_1
   POL(4(x_1)) = 1 + x_1

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

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


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

(8)
Obligation:
Q DP problem:
P is empty.
The TRS R consists of the following rules:

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

Q is empty.
We have to consider all minimal (P,Q,R)-chains.
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(9) PisEmptyProof (EQUIVALENT)
The TRS P is empty. Hence, there is no (P,Q,R) chain.
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(10)
YES