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


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


YES
proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished


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, 1497 ms]
(4) QDP
(5) SemLabProof [SOUND, 1959 ms]
(6) QDP
(7) DependencyGraphProof [EQUIVALENT, 13 ms]
(8) QDP
(9) MRRProof [EQUIVALENT, 396 ms]
(10) QDP
(11) DependencyGraphProof [EQUIVALENT, 0 ms]
(12) TRUE


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

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

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

The TRS R consists of the following rules:

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

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

(5) SemLabProof (SOUND)
We found the following model for the rules of the TRSs R and P.
Interpretation over the domain with elements from 0 to 1.
5: 0
3^1: 0
2^1: 0
0^1: 0
5^1: 0
4^1: 0
1^1: 0
0: 0
1: 0
2: 0
3: 0
4: 1
By semantic labelling [SEMLAB] we obtain the following labelled QDP problem.
----------------------------------------

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

   2^1.0(1.0(0.0(0.0(x1)))) -> 3^1.0(0.0(0.0(3.0(5.1(4.1(4.0(5.1(4.0(3.0(x1))))))))))
   3^1.0(2.0(2.0(5.0(2.0(1.0(x1)))))) -> 3^1.0(3.1(4.0(3.1(4.0(5.1(4.0(2.1(4.0(0.0(x1))))))))))
   3^1.0(2.0(2.0(5.0(2.0(1.1(x1)))))) -> 3^1.0(3.1(4.0(3.1(4.0(5.1(4.0(2.1(4.0(0.1(x1))))))))))
   2^1.0(1.0(0.0(0.1(x1)))) -> 3^1.0(0.0(0.0(3.0(5.1(4.1(4.0(5.1(4.0(3.1(x1))))))))))
   3^1.0(2.0(2.0(5.0(2.0(1.0(x1)))))) -> 3^1.1(4.0(3.1(4.0(5.1(4.0(2.1(4.0(0.0(x1)))))))))
   3^1.0(2.0(2.0(5.0(2.0(1.1(x1)))))) -> 3^1.1(4.0(3.1(4.0(5.1(4.0(2.1(4.0(0.1(x1)))))))))
   3^1.0(2.0(2.0(5.0(2.0(1.0(x1)))))) -> 4^1.0(3.1(4.0(5.1(4.0(2.1(4.0(0.0(x1))))))))
   3^1.0(2.0(2.0(5.0(2.0(1.1(x1)))))) -> 4^1.0(3.1(4.0(5.1(4.0(2.1(4.0(0.1(x1))))))))
   3^1.0(2.0(2.0(5.0(2.0(1.0(x1)))))) -> 3^1.1(4.0(5.1(4.0(2.1(4.0(0.0(x1)))))))
   3^1.0(2.0(2.0(5.0(2.0(1.1(x1)))))) -> 3^1.1(4.0(5.1(4.0(2.1(4.0(0.1(x1)))))))
   3^1.0(2.0(2.0(5.0(2.0(1.0(x1)))))) -> 4^1.0(5.1(4.0(2.1(4.0(0.0(x1))))))
   3^1.0(2.0(2.0(5.0(2.0(1.1(x1)))))) -> 4^1.0(5.1(4.0(2.1(4.0(0.1(x1))))))
   3^1.0(2.0(2.0(5.0(2.0(1.0(x1)))))) -> 5^1.1(4.0(2.1(4.0(0.0(x1)))))
   3^1.0(2.0(2.0(5.0(2.0(1.1(x1)))))) -> 5^1.1(4.0(2.1(4.0(0.1(x1)))))
   3^1.0(2.0(2.0(5.0(2.0(1.0(x1)))))) -> 4^1.0(2.1(4.0(0.0(x1))))
   3^1.0(2.0(2.0(5.0(2.0(1.1(x1)))))) -> 4^1.0(2.1(4.0(0.1(x1))))
   3^1.0(2.0(2.0(5.0(2.0(1.0(x1)))))) -> 2^1.1(4.0(0.0(x1)))
   3^1.0(2.0(2.0(5.0(2.0(1.1(x1)))))) -> 2^1.1(4.0(0.1(x1)))
   3^1.0(2.0(2.0(5.0(2.0(1.0(x1)))))) -> 4^1.0(0.0(x1))
   3^1.0(2.0(2.0(5.0(2.0(1.1(x1)))))) -> 4^1.0(0.1(x1))
   3^1.0(2.0(2.0(5.0(2.0(1.0(x1)))))) -> 0^1.0(x1)
   3^1.0(2.0(2.0(5.0(2.0(1.1(x1)))))) -> 0^1.1(x1)
   3^1.0(2.0(1.0(0.0(0.0(2.0(x1)))))) -> 3^1.1(4.1(4.1(4.0(3.0(1.0(3.0(3.0(3.0(1.0(x1))))))))))
   3^1.0(2.0(1.0(0.0(0.0(2.1(x1)))))) -> 3^1.1(4.1(4.1(4.0(3.0(1.0(3.0(3.0(3.0(1.1(x1))))))))))
   3^1.0(2.0(1.0(0.0(0.0(2.0(x1)))))) -> 4^1.1(4.1(4.0(3.0(1.0(3.0(3.0(3.0(1.0(x1)))))))))
   3^1.0(2.0(1.0(0.0(0.0(2.1(x1)))))) -> 4^1.1(4.1(4.0(3.0(1.0(3.0(3.0(3.0(1.1(x1)))))))))
   3^1.0(2.0(1.0(0.0(0.0(2.0(x1)))))) -> 4^1.1(4.0(3.0(1.0(3.0(3.0(3.0(1.0(x1))))))))
   3^1.0(2.0(1.0(0.0(0.0(2.1(x1)))))) -> 4^1.1(4.0(3.0(1.0(3.0(3.0(3.0(1.1(x1))))))))
   3^1.0(2.0(1.0(0.0(0.0(2.0(x1)))))) -> 4^1.0(3.0(1.0(3.0(3.0(3.0(1.0(x1)))))))
   3^1.0(2.0(1.0(0.0(0.0(2.1(x1)))))) -> 4^1.0(3.0(1.0(3.0(3.0(3.0(1.1(x1)))))))
   3^1.0(2.0(1.0(0.0(0.0(2.0(x1)))))) -> 3^1.0(1.0(3.0(3.0(3.0(1.0(x1))))))
   3^1.0(2.0(1.0(0.0(0.0(2.1(x1)))))) -> 3^1.0(1.0(3.0(3.0(3.0(1.1(x1))))))
   3^1.0(2.0(1.0(0.0(0.0(2.0(x1)))))) -> 1^1.0(3.0(3.0(3.0(1.0(x1)))))
   3^1.0(2.0(1.0(0.0(0.0(2.1(x1)))))) -> 1^1.0(3.0(3.0(3.0(1.1(x1)))))
   3^1.0(2.0(1.0(0.0(0.0(2.0(x1)))))) -> 3^1.0(3.0(3.0(1.0(x1))))
   3^1.0(2.0(1.0(0.0(0.0(2.1(x1)))))) -> 3^1.0(3.0(3.0(1.1(x1))))
   3^1.0(2.0(1.0(0.0(0.0(2.0(x1)))))) -> 3^1.0(3.0(1.0(x1)))
   3^1.0(2.0(1.0(0.0(0.0(2.1(x1)))))) -> 3^1.0(3.0(1.1(x1)))
   3^1.0(2.0(1.0(0.0(0.0(2.0(x1)))))) -> 3^1.0(1.0(x1))
   3^1.0(2.0(1.0(0.0(0.0(2.1(x1)))))) -> 3^1.0(1.1(x1))
   3^1.0(2.0(1.0(0.0(0.0(2.0(x1)))))) -> 1^1.0(x1)
   3^1.0(2.0(1.0(0.0(0.0(2.1(x1)))))) -> 1^1.1(x1)
   3^1.0(2.0(2.0(1.1(4.0(3.0(x1)))))) -> 5^1.1(4.1(4.1(4.1(4.1(4.0(1.1(4.0(5.0(3.0(x1))))))))))
   3^1.0(2.0(2.0(1.1(4.0(3.1(x1)))))) -> 5^1.1(4.1(4.1(4.1(4.1(4.0(1.1(4.0(5.0(3.1(x1))))))))))
   3^1.0(2.0(2.0(1.1(4.0(3.0(x1)))))) -> 4^1.1(4.1(4.1(4.1(4.0(1.1(4.0(5.0(3.0(x1)))))))))
   3^1.0(2.0(2.0(1.1(4.0(3.1(x1)))))) -> 4^1.1(4.1(4.1(4.1(4.0(1.1(4.0(5.0(3.1(x1)))))))))
   3^1.0(2.0(2.0(1.1(4.0(3.0(x1)))))) -> 4^1.1(4.1(4.1(4.0(1.1(4.0(5.0(3.0(x1))))))))
   3^1.0(2.0(2.0(1.1(4.0(3.1(x1)))))) -> 4^1.1(4.1(4.1(4.0(1.1(4.0(5.0(3.1(x1))))))))
   3^1.0(2.0(2.0(1.1(4.0(3.0(x1)))))) -> 4^1.1(4.1(4.0(1.1(4.0(5.0(3.0(x1)))))))
   3^1.0(2.0(2.0(1.1(4.0(3.1(x1)))))) -> 4^1.1(4.1(4.0(1.1(4.0(5.0(3.1(x1)))))))
   3^1.0(2.0(2.0(1.1(4.0(3.0(x1)))))) -> 4^1.1(4.0(1.1(4.0(5.0(3.0(x1))))))
   3^1.0(2.0(2.0(1.1(4.0(3.1(x1)))))) -> 4^1.1(4.0(1.1(4.0(5.0(3.1(x1))))))
   3^1.0(2.0(2.0(1.1(4.0(3.0(x1)))))) -> 4^1.0(1.1(4.0(5.0(3.0(x1)))))
   3^1.0(2.0(2.0(1.1(4.0(3.1(x1)))))) -> 4^1.0(1.1(4.0(5.0(3.1(x1)))))
   3^1.0(2.0(2.0(1.1(4.0(3.0(x1)))))) -> 1^1.1(4.0(5.0(3.0(x1))))
   3^1.0(2.0(2.0(1.1(4.0(3.1(x1)))))) -> 1^1.1(4.0(5.0(3.1(x1))))
   3^1.0(2.0(2.0(1.1(4.0(3.0(x1)))))) -> 4^1.0(5.0(3.0(x1)))
   3^1.0(2.0(2.0(1.1(4.0(3.1(x1)))))) -> 4^1.0(5.0(3.1(x1)))
   3^1.0(2.0(2.0(1.1(4.0(3.0(x1)))))) -> 5^1.0(3.0(x1))
   3^1.0(2.0(2.0(1.1(4.0(3.1(x1)))))) -> 5^1.0(3.1(x1))
   3^1.0(3.0(1.0(0.0(3.0(5.0(x1)))))) -> 3^1.0(3.0(1.0(3.1(4.1(4.0(1.1(4.1(4.0(2.0(x1))))))))))
   3^1.0(3.0(1.0(0.0(3.0(5.1(x1)))))) -> 3^1.0(3.0(1.0(3.1(4.1(4.0(1.1(4.1(4.0(2.1(x1))))))))))
   3^1.0(3.0(1.0(0.0(3.0(5.0(x1)))))) -> 3^1.0(1.0(3.1(4.1(4.0(1.1(4.1(4.0(2.0(x1)))))))))
   3^1.0(3.0(1.0(0.0(3.0(5.1(x1)))))) -> 3^1.0(1.0(3.1(4.1(4.0(1.1(4.1(4.0(2.1(x1)))))))))
   3^1.0(3.0(1.0(0.0(3.0(5.0(x1)))))) -> 1^1.0(3.1(4.1(4.0(1.1(4.1(4.0(2.0(x1))))))))
   3^1.0(3.0(1.0(0.0(3.0(5.1(x1)))))) -> 1^1.0(3.1(4.1(4.0(1.1(4.1(4.0(2.1(x1))))))))
   3^1.0(3.0(1.0(0.0(3.0(5.0(x1)))))) -> 3^1.1(4.1(4.0(1.1(4.1(4.0(2.0(x1)))))))
   3^1.0(3.0(1.0(0.0(3.0(5.1(x1)))))) -> 3^1.1(4.1(4.0(1.1(4.1(4.0(2.1(x1)))))))
   3^1.0(3.0(1.0(0.0(3.0(5.0(x1)))))) -> 4^1.1(4.0(1.1(4.1(4.0(2.0(x1))))))
   3^1.0(3.0(1.0(0.0(3.0(5.1(x1)))))) -> 4^1.1(4.0(1.1(4.1(4.0(2.1(x1))))))
   3^1.0(3.0(1.0(0.0(3.0(5.0(x1)))))) -> 4^1.0(1.1(4.1(4.0(2.0(x1)))))
   3^1.0(3.0(1.0(0.0(3.0(5.1(x1)))))) -> 4^1.0(1.1(4.1(4.0(2.1(x1)))))
   3^1.0(3.0(1.0(0.0(3.0(5.0(x1)))))) -> 1^1.1(4.1(4.0(2.0(x1))))
   3^1.0(3.0(1.0(0.0(3.0(5.1(x1)))))) -> 1^1.1(4.1(4.0(2.1(x1))))
   3^1.0(3.0(1.0(0.0(3.0(5.0(x1)))))) -> 4^1.1(4.0(2.0(x1)))
   3^1.0(3.0(1.0(0.0(3.0(5.1(x1)))))) -> 4^1.1(4.0(2.1(x1)))
   3^1.0(3.0(1.0(0.0(3.0(5.0(x1)))))) -> 4^1.0(2.0(x1))
   3^1.0(3.0(1.0(0.0(3.0(5.1(x1)))))) -> 4^1.0(2.1(x1))
   3^1.0(3.0(1.0(0.0(3.0(5.0(x1)))))) -> 2^1.0(x1)
   3^1.0(3.0(1.0(0.0(3.0(5.1(x1)))))) -> 2^1.1(x1)
   3^1.0(5.0(5.0(5.1(4.0(5.0(x1)))))) -> 3^1.0(0.1(4.0(3.1(4.0(2.1(4.1(4.0(5.0(3.0(x1))))))))))
   3^1.0(5.0(5.0(5.1(4.0(5.1(x1)))))) -> 3^1.0(0.1(4.0(3.1(4.0(2.1(4.1(4.0(5.0(3.1(x1))))))))))
   3^1.0(5.0(5.0(5.1(4.0(5.0(x1)))))) -> 0^1.1(4.0(3.1(4.0(2.1(4.1(4.0(5.0(3.0(x1)))))))))
   3^1.0(5.0(5.0(5.1(4.0(5.1(x1)))))) -> 0^1.1(4.0(3.1(4.0(2.1(4.1(4.0(5.0(3.1(x1)))))))))
   3^1.0(5.0(5.0(5.1(4.0(5.0(x1)))))) -> 4^1.0(3.1(4.0(2.1(4.1(4.0(5.0(3.0(x1))))))))
   3^1.0(5.0(5.0(5.1(4.0(5.1(x1)))))) -> 4^1.0(3.1(4.0(2.1(4.1(4.0(5.0(3.1(x1))))))))
   3^1.0(5.0(5.0(5.1(4.0(5.0(x1)))))) -> 3^1.1(4.0(2.1(4.1(4.0(5.0(3.0(x1)))))))
   3^1.0(5.0(5.0(5.1(4.0(5.1(x1)))))) -> 3^1.1(4.0(2.1(4.1(4.0(5.0(3.1(x1)))))))
   3^1.0(5.0(5.0(5.1(4.0(5.0(x1)))))) -> 4^1.0(2.1(4.1(4.0(5.0(3.0(x1))))))
   3^1.0(5.0(5.0(5.1(4.0(5.1(x1)))))) -> 4^1.0(2.1(4.1(4.0(5.0(3.1(x1))))))
   3^1.0(5.0(5.0(5.1(4.0(5.0(x1)))))) -> 2^1.1(4.1(4.0(5.0(3.0(x1)))))
   3^1.0(5.0(5.0(5.1(4.0(5.1(x1)))))) -> 2^1.1(4.1(4.0(5.0(3.1(x1)))))
   3^1.0(5.0(5.0(5.1(4.0(5.0(x1)))))) -> 4^1.1(4.0(5.0(3.0(x1))))
   3^1.0(5.0(5.0(5.1(4.0(5.1(x1)))))) -> 4^1.1(4.0(5.0(3.1(x1))))
   3^1.0(5.0(5.0(5.1(4.0(5.0(x1)))))) -> 4^1.0(5.0(3.0(x1)))
   3^1.0(5.0(5.0(5.1(4.0(5.1(x1)))))) -> 4^1.0(5.0(3.1(x1)))
   3^1.0(5.0(5.0(5.1(4.0(5.0(x1)))))) -> 5^1.0(3.0(x1))
   3^1.0(5.0(5.0(5.1(4.0(5.1(x1)))))) -> 5^1.0(3.1(x1))
   3^1.0(5.0(5.0(5.1(4.0(5.0(x1)))))) -> 3^1.0(x1)
   3^1.0(5.0(5.0(5.1(4.0(5.1(x1)))))) -> 3^1.1(x1)
   3^1.0(5.0(1.0(0.0(5.0(5.0(x1)))))) -> 3^1.1(4.0(5.0(0.0(3.0(1.1(4.1(4.1(4.0(5.0(x1))))))))))
   3^1.0(5.0(1.0(0.0(5.0(5.1(x1)))))) -> 3^1.1(4.0(5.0(0.0(3.0(1.1(4.1(4.1(4.0(5.1(x1))))))))))
   3^1.0(5.0(1.0(0.0(5.0(5.0(x1)))))) -> 4^1.0(5.0(0.0(3.0(1.1(4.1(4.1(4.0(5.0(x1)))))))))
   3^1.0(5.0(1.0(0.0(5.0(5.1(x1)))))) -> 4^1.0(5.0(0.0(3.0(1.1(4.1(4.1(4.0(5.1(x1)))))))))
   3^1.0(5.0(1.0(0.0(5.0(5.0(x1)))))) -> 5^1.0(0.0(3.0(1.1(4.1(4.1(4.0(5.0(x1))))))))
   3^1.0(5.0(1.0(0.0(5.0(5.1(x1)))))) -> 5^1.0(0.0(3.0(1.1(4.1(4.1(4.0(5.1(x1))))))))
   3^1.0(5.0(1.0(0.0(5.0(5.0(x1)))))) -> 0^1.0(3.0(1.1(4.1(4.1(4.0(5.0(x1)))))))
   3^1.0(5.0(1.0(0.0(5.0(5.1(x1)))))) -> 0^1.0(3.0(1.1(4.1(4.1(4.0(5.1(x1)))))))
   3^1.0(5.0(1.0(0.0(5.0(5.0(x1)))))) -> 3^1.0(1.1(4.1(4.1(4.0(5.0(x1))))))
   3^1.0(5.0(1.0(0.0(5.0(5.1(x1)))))) -> 3^1.0(1.1(4.1(4.1(4.0(5.1(x1))))))
   3^1.0(5.0(1.0(0.0(5.0(5.0(x1)))))) -> 1^1.1(4.1(4.1(4.0(5.0(x1)))))
   3^1.0(5.0(1.0(0.0(5.0(5.1(x1)))))) -> 1^1.1(4.1(4.1(4.0(5.1(x1)))))
   3^1.0(5.0(1.0(0.0(5.0(5.0(x1)))))) -> 4^1.1(4.1(4.0(5.0(x1))))
   3^1.0(5.0(1.0(0.0(5.0(5.1(x1)))))) -> 4^1.1(4.1(4.0(5.1(x1))))
   3^1.0(5.0(1.0(0.0(5.0(5.0(x1)))))) -> 4^1.1(4.0(5.0(x1)))
   3^1.0(5.0(1.0(0.0(5.0(5.1(x1)))))) -> 4^1.1(4.0(5.1(x1)))
   3^1.0(5.0(1.0(0.0(5.0(5.0(x1)))))) -> 4^1.0(5.0(x1))
   3^1.0(5.0(1.0(0.0(5.0(5.1(x1)))))) -> 4^1.0(5.1(x1))
   3^1.0(2.0(5.0(5.0(5.0(5.0(x1)))))) -> 3^1.1(4.1(4.0(2.1(4.0(1.1(4.0(0.0(3.0(3.0(x1))))))))))
   3^1.0(2.0(5.0(5.0(5.0(5.1(x1)))))) -> 3^1.1(4.1(4.0(2.1(4.0(1.1(4.0(0.0(3.0(3.1(x1))))))))))
   3^1.0(2.0(5.0(5.0(5.0(5.0(x1)))))) -> 4^1.1(4.0(2.1(4.0(1.1(4.0(0.0(3.0(3.0(x1)))))))))
   3^1.0(2.0(5.0(5.0(5.0(5.1(x1)))))) -> 4^1.1(4.0(2.1(4.0(1.1(4.0(0.0(3.0(3.1(x1)))))))))
   3^1.0(2.0(5.0(5.0(5.0(5.0(x1)))))) -> 4^1.0(2.1(4.0(1.1(4.0(0.0(3.0(3.0(x1))))))))
   3^1.0(2.0(5.0(5.0(5.0(5.1(x1)))))) -> 4^1.0(2.1(4.0(1.1(4.0(0.0(3.0(3.1(x1))))))))
   3^1.0(2.0(5.0(5.0(5.0(5.0(x1)))))) -> 2^1.1(4.0(1.1(4.0(0.0(3.0(3.0(x1)))))))
   3^1.0(2.0(5.0(5.0(5.0(5.1(x1)))))) -> 2^1.1(4.0(1.1(4.0(0.0(3.0(3.1(x1)))))))
   3^1.0(2.0(5.0(5.0(5.0(5.0(x1)))))) -> 4^1.0(1.1(4.0(0.0(3.0(3.0(x1))))))
   3^1.0(2.0(5.0(5.0(5.0(5.1(x1)))))) -> 4^1.0(1.1(4.0(0.0(3.0(3.1(x1))))))
   3^1.0(2.0(5.0(5.0(5.0(5.0(x1)))))) -> 1^1.1(4.0(0.0(3.0(3.0(x1)))))
   3^1.0(2.0(5.0(5.0(5.0(5.1(x1)))))) -> 1^1.1(4.0(0.0(3.0(3.1(x1)))))
   3^1.0(2.0(5.0(5.0(5.0(5.0(x1)))))) -> 4^1.0(0.0(3.0(3.0(x1))))
   3^1.0(2.0(5.0(5.0(5.0(5.1(x1)))))) -> 4^1.0(0.0(3.0(3.1(x1))))
   3^1.0(2.0(5.0(5.0(5.0(5.0(x1)))))) -> 0^1.0(3.0(3.0(x1)))
   3^1.0(2.0(5.0(5.0(5.0(5.1(x1)))))) -> 0^1.0(3.0(3.1(x1)))
   3^1.0(2.0(5.0(5.0(5.0(5.0(x1)))))) -> 3^1.0(3.0(x1))
   3^1.0(2.0(5.0(5.0(5.0(5.1(x1)))))) -> 3^1.0(3.1(x1))
   3^1.0(2.0(5.0(5.0(5.0(5.0(x1)))))) -> 3^1.0(x1)
   3^1.0(2.0(5.0(5.0(5.0(5.1(x1)))))) -> 3^1.1(x1)
   3^1.0(2.0(2.0(5.1(4.0(2.0(0.0(x1))))))) -> 3^1.0(5.0(1.0(3.0(1.1(4.1(4.0(1.0(5.0(0.0(x1))))))))))
   3^1.0(2.0(2.0(5.1(4.0(2.0(0.1(x1))))))) -> 3^1.0(5.0(1.0(3.0(1.1(4.1(4.0(1.0(5.0(0.1(x1))))))))))
   3^1.0(2.0(2.0(5.1(4.0(2.0(0.0(x1))))))) -> 5^1.0(1.0(3.0(1.1(4.1(4.0(1.0(5.0(0.0(x1)))))))))
   3^1.0(2.0(2.0(5.1(4.0(2.0(0.1(x1))))))) -> 5^1.0(1.0(3.0(1.1(4.1(4.0(1.0(5.0(0.1(x1)))))))))
   3^1.0(2.0(2.0(5.1(4.0(2.0(0.0(x1))))))) -> 1^1.0(3.0(1.1(4.1(4.0(1.0(5.0(0.0(x1))))))))
   3^1.0(2.0(2.0(5.1(4.0(2.0(0.1(x1))))))) -> 1^1.0(3.0(1.1(4.1(4.0(1.0(5.0(0.1(x1))))))))
   3^1.0(2.0(2.0(5.1(4.0(2.0(0.0(x1))))))) -> 3^1.0(1.1(4.1(4.0(1.0(5.0(0.0(x1)))))))
   3^1.0(2.0(2.0(5.1(4.0(2.0(0.1(x1))))))) -> 3^1.0(1.1(4.1(4.0(1.0(5.0(0.1(x1)))))))
   3^1.0(2.0(2.0(5.1(4.0(2.0(0.0(x1))))))) -> 1^1.1(4.1(4.0(1.0(5.0(0.0(x1))))))
   3^1.0(2.0(2.0(5.1(4.0(2.0(0.1(x1))))))) -> 1^1.1(4.1(4.0(1.0(5.0(0.1(x1))))))
   3^1.0(2.0(2.0(5.1(4.0(2.0(0.0(x1))))))) -> 4^1.1(4.0(1.0(5.0(0.0(x1)))))
   3^1.0(2.0(2.0(5.1(4.0(2.0(0.1(x1))))))) -> 4^1.1(4.0(1.0(5.0(0.1(x1)))))
   3^1.0(2.0(2.0(5.1(4.0(2.0(0.0(x1))))))) -> 4^1.0(1.0(5.0(0.0(x1))))
   3^1.0(2.0(2.0(5.1(4.0(2.0(0.1(x1))))))) -> 4^1.0(1.0(5.0(0.1(x1))))
   3^1.0(2.0(2.0(5.1(4.0(2.0(0.0(x1))))))) -> 1^1.0(5.0(0.0(x1)))
   3^1.0(2.0(2.0(5.1(4.0(2.0(0.1(x1))))))) -> 1^1.0(5.0(0.1(x1)))
   3^1.0(2.0(2.0(5.1(4.0(2.0(0.0(x1))))))) -> 5^1.0(0.0(x1))
   3^1.0(2.0(2.0(5.1(4.0(2.0(0.1(x1))))))) -> 5^1.0(0.1(x1))
   3^1.0(5.0(1.1(4.0(0.0(3.0(0.0(x1))))))) -> 5^1.0(0.0(0.0(3.1(4.1(4.0(3.0(3.0(0.0(0.0(x1))))))))))
   3^1.0(5.0(1.1(4.0(0.0(3.0(0.1(x1))))))) -> 5^1.0(0.0(0.0(3.1(4.1(4.0(3.0(3.0(0.0(0.1(x1))))))))))
   3^1.0(5.0(1.1(4.0(0.0(3.0(0.0(x1))))))) -> 0^1.0(0.0(3.1(4.1(4.0(3.0(3.0(0.0(0.0(x1)))))))))
   3^1.0(5.0(1.1(4.0(0.0(3.0(0.1(x1))))))) -> 0^1.0(0.0(3.1(4.1(4.0(3.0(3.0(0.0(0.1(x1)))))))))
   3^1.0(5.0(1.1(4.0(0.0(3.0(0.0(x1))))))) -> 0^1.0(3.1(4.1(4.0(3.0(3.0(0.0(0.0(x1))))))))
   3^1.0(5.0(1.1(4.0(0.0(3.0(0.1(x1))))))) -> 0^1.0(3.1(4.1(4.0(3.0(3.0(0.0(0.1(x1))))))))
   3^1.0(5.0(1.1(4.0(0.0(3.0(0.0(x1))))))) -> 3^1.1(4.1(4.0(3.0(3.0(0.0(0.0(x1)))))))
   3^1.0(5.0(1.1(4.0(0.0(3.0(0.1(x1))))))) -> 3^1.1(4.1(4.0(3.0(3.0(0.0(0.1(x1)))))))
   3^1.0(5.0(1.1(4.0(0.0(3.0(0.0(x1))))))) -> 4^1.1(4.0(3.0(3.0(0.0(0.0(x1))))))
   3^1.0(5.0(1.1(4.0(0.0(3.0(0.1(x1))))))) -> 4^1.1(4.0(3.0(3.0(0.0(0.1(x1))))))
   3^1.0(5.0(1.1(4.0(0.0(3.0(0.0(x1))))))) -> 4^1.0(3.0(3.0(0.0(0.0(x1)))))
   3^1.0(5.0(1.1(4.0(0.0(3.0(0.1(x1))))))) -> 4^1.0(3.0(3.0(0.0(0.1(x1)))))
   3^1.0(5.0(1.1(4.0(0.0(3.0(0.0(x1))))))) -> 3^1.0(3.0(0.0(0.0(x1))))
   3^1.0(5.0(1.1(4.0(0.0(3.0(0.1(x1))))))) -> 3^1.0(3.0(0.0(0.1(x1))))
   3^1.0(5.0(1.1(4.0(0.0(3.0(0.0(x1))))))) -> 3^1.0(0.0(0.0(x1)))
   3^1.0(5.0(1.1(4.0(0.0(3.0(0.1(x1))))))) -> 3^1.0(0.0(0.1(x1)))
   3^1.0(5.0(1.1(4.0(0.0(3.0(0.0(x1))))))) -> 0^1.0(0.0(x1))
   3^1.0(5.0(1.1(4.0(0.0(3.0(0.1(x1))))))) -> 0^1.0(0.1(x1))
   3^1.0(2.0(2.0(0.0(2.0(3.0(1.0(x1))))))) -> 3^1.0(2.0(1.0(1.0(1.0(5.0(3.1(4.0(3.0(1.0(x1))))))))))
   3^1.0(2.0(2.0(0.0(2.0(3.0(1.1(x1))))))) -> 3^1.0(2.0(1.0(1.0(1.0(5.0(3.1(4.0(3.0(1.1(x1))))))))))
   3^1.0(2.0(2.0(0.0(2.0(3.0(1.0(x1))))))) -> 2^1.0(1.0(1.0(1.0(5.0(3.1(4.0(3.0(1.0(x1)))))))))
   3^1.0(2.0(2.0(0.0(2.0(3.0(1.1(x1))))))) -> 2^1.0(1.0(1.0(1.0(5.0(3.1(4.0(3.0(1.1(x1)))))))))
   3^1.0(2.0(2.0(0.0(2.0(3.0(1.0(x1))))))) -> 1^1.0(1.0(1.0(5.0(3.1(4.0(3.0(1.0(x1))))))))
   3^1.0(2.0(2.0(0.0(2.0(3.0(1.1(x1))))))) -> 1^1.0(1.0(1.0(5.0(3.1(4.0(3.0(1.1(x1))))))))
   3^1.0(2.0(2.0(0.0(2.0(3.0(1.0(x1))))))) -> 1^1.0(1.0(5.0(3.1(4.0(3.0(1.0(x1)))))))
   3^1.0(2.0(2.0(0.0(2.0(3.0(1.1(x1))))))) -> 1^1.0(1.0(5.0(3.1(4.0(3.0(1.1(x1)))))))
   3^1.0(2.0(2.0(0.0(2.0(3.0(1.0(x1))))))) -> 1^1.0(5.0(3.1(4.0(3.0(1.0(x1))))))
   3^1.0(2.0(2.0(0.0(2.0(3.0(1.1(x1))))))) -> 1^1.0(5.0(3.1(4.0(3.0(1.1(x1))))))
   3^1.0(2.0(2.0(0.0(2.0(3.0(1.0(x1))))))) -> 5^1.0(3.1(4.0(3.0(1.0(x1)))))
   3^1.0(2.0(2.0(0.0(2.0(3.0(1.1(x1))))))) -> 5^1.0(3.1(4.0(3.0(1.1(x1)))))
   3^1.0(2.0(2.0(0.0(2.0(3.0(1.0(x1))))))) -> 3^1.1(4.0(3.0(1.0(x1))))
   3^1.0(2.0(2.0(0.0(2.0(3.0(1.1(x1))))))) -> 3^1.1(4.0(3.0(1.1(x1))))
   3^1.0(2.0(2.0(0.0(2.0(3.0(1.0(x1))))))) -> 4^1.0(3.0(1.0(x1)))
   3^1.0(2.0(2.0(0.0(2.0(3.0(1.1(x1))))))) -> 4^1.0(3.0(1.1(x1)))
   3^1.0(1.0(2.0(0.1(4.0(5.0(1.0(x1))))))) -> 3^1.0(0.1(4.1(4.0(3.0(3.0(5.0(1.0(1.0(0.0(x1))))))))))
   3^1.0(1.0(2.0(0.1(4.0(5.0(1.1(x1))))))) -> 3^1.0(0.1(4.1(4.0(3.0(3.0(5.0(1.0(1.0(0.1(x1))))))))))
   3^1.0(1.0(2.0(0.1(4.0(5.0(1.0(x1))))))) -> 0^1.1(4.1(4.0(3.0(3.0(5.0(1.0(1.0(0.0(x1)))))))))
   3^1.0(1.0(2.0(0.1(4.0(5.0(1.1(x1))))))) -> 0^1.1(4.1(4.0(3.0(3.0(5.0(1.0(1.0(0.1(x1)))))))))
   3^1.0(1.0(2.0(0.1(4.0(5.0(1.0(x1))))))) -> 4^1.1(4.0(3.0(3.0(5.0(1.0(1.0(0.0(x1))))))))
   3^1.0(1.0(2.0(0.1(4.0(5.0(1.1(x1))))))) -> 4^1.1(4.0(3.0(3.0(5.0(1.0(1.0(0.1(x1))))))))
   3^1.0(1.0(2.0(0.1(4.0(5.0(1.0(x1))))))) -> 4^1.0(3.0(3.0(5.0(1.0(1.0(0.0(x1)))))))
   3^1.0(1.0(2.0(0.1(4.0(5.0(1.1(x1))))))) -> 4^1.0(3.0(3.0(5.0(1.0(1.0(0.1(x1)))))))
   3^1.0(1.0(2.0(0.1(4.0(5.0(1.0(x1))))))) -> 3^1.0(3.0(5.0(1.0(1.0(0.0(x1))))))
   3^1.0(1.0(2.0(0.1(4.0(5.0(1.1(x1))))))) -> 3^1.0(3.0(5.0(1.0(1.0(0.1(x1))))))
   3^1.0(1.0(2.0(0.1(4.0(5.0(1.0(x1))))))) -> 3^1.0(5.0(1.0(1.0(0.0(x1)))))
   3^1.0(1.0(2.0(0.1(4.0(5.0(1.1(x1))))))) -> 3^1.0(5.0(1.0(1.0(0.1(x1)))))
   3^1.0(1.0(2.0(0.1(4.0(5.0(1.0(x1))))))) -> 5^1.0(1.0(1.0(0.0(x1))))
   3^1.0(1.0(2.0(0.1(4.0(5.0(1.1(x1))))))) -> 5^1.0(1.0(1.0(0.1(x1))))
   3^1.0(1.0(2.0(0.1(4.0(5.0(1.0(x1))))))) -> 1^1.0(1.0(0.0(x1)))
   3^1.0(1.0(2.0(0.1(4.0(5.0(1.1(x1))))))) -> 1^1.0(1.0(0.1(x1)))
   3^1.0(1.0(2.0(0.1(4.0(5.0(1.0(x1))))))) -> 1^1.0(0.0(x1))
   3^1.0(1.0(2.0(0.1(4.0(5.0(1.1(x1))))))) -> 1^1.0(0.1(x1))
   3^1.0(1.0(2.0(0.1(4.0(5.0(1.0(x1))))))) -> 0^1.0(x1)
   3^1.0(1.0(2.0(0.1(4.0(5.0(1.1(x1))))))) -> 0^1.1(x1)
   3^1.0(1.0(0.0(5.0(0.0(3.0(2.0(x1))))))) -> 3^1.0(1.0(3.0(0.0(1.0(5.0(0.0(1.0(3.0(2.0(x1))))))))))
   3^1.0(1.0(0.0(5.0(0.0(3.0(2.1(x1))))))) -> 3^1.0(1.0(3.0(0.0(1.0(5.0(0.0(1.0(3.0(2.1(x1))))))))))
   3^1.0(1.0(0.0(5.0(0.0(3.0(2.0(x1))))))) -> 1^1.0(3.0(0.0(1.0(5.0(0.0(1.0(3.0(2.0(x1)))))))))
   3^1.0(1.0(0.0(5.0(0.0(3.0(2.1(x1))))))) -> 1^1.0(3.0(0.0(1.0(5.0(0.0(1.0(3.0(2.1(x1)))))))))
   3^1.0(1.0(0.0(5.0(0.0(3.0(2.0(x1))))))) -> 3^1.0(0.0(1.0(5.0(0.0(1.0(3.0(2.0(x1))))))))
   3^1.0(1.0(0.0(5.0(0.0(3.0(2.1(x1))))))) -> 3^1.0(0.0(1.0(5.0(0.0(1.0(3.0(2.1(x1))))))))
   3^1.0(1.0(0.0(5.0(0.0(3.0(2.0(x1))))))) -> 0^1.0(1.0(5.0(0.0(1.0(3.0(2.0(x1)))))))
   3^1.0(1.0(0.0(5.0(0.0(3.0(2.1(x1))))))) -> 0^1.0(1.0(5.0(0.0(1.0(3.0(2.1(x1)))))))
   3^1.0(1.0(0.0(5.0(0.0(3.0(2.0(x1))))))) -> 1^1.0(5.0(0.0(1.0(3.0(2.0(x1))))))
   3^1.0(1.0(0.0(5.0(0.0(3.0(2.1(x1))))))) -> 1^1.0(5.0(0.0(1.0(3.0(2.1(x1))))))
   3^1.0(1.0(0.0(5.0(0.0(3.0(2.0(x1))))))) -> 5^1.0(0.0(1.0(3.0(2.0(x1)))))
   3^1.0(1.0(0.0(5.0(0.0(3.0(2.1(x1))))))) -> 5^1.0(0.0(1.0(3.0(2.1(x1)))))
   3^1.0(1.0(0.0(5.0(0.0(3.0(2.0(x1))))))) -> 0^1.0(1.0(3.0(2.0(x1))))
   3^1.0(1.0(0.0(5.0(0.0(3.0(2.1(x1))))))) -> 0^1.0(1.0(3.0(2.1(x1))))
   3^1.0(1.0(0.0(5.0(0.0(3.0(2.0(x1))))))) -> 1^1.0(3.0(2.0(x1)))
   3^1.0(1.0(0.0(5.0(0.0(3.0(2.1(x1))))))) -> 1^1.0(3.0(2.1(x1)))
   3^1.0(2.0(3.0(5.0(5.0(2.0(3.0(x1))))))) -> 3^1.0(3.1(4.0(2.0(3.0(0.0(5.0(0.0(1.0(3.0(x1))))))))))
   3^1.0(2.0(3.0(5.0(5.0(2.0(3.1(x1))))))) -> 3^1.0(3.1(4.0(2.0(3.0(0.0(5.0(0.0(1.0(3.1(x1))))))))))
   3^1.0(2.0(3.0(5.0(5.0(2.0(3.0(x1))))))) -> 3^1.1(4.0(2.0(3.0(0.0(5.0(0.0(1.0(3.0(x1)))))))))
   3^1.0(2.0(3.0(5.0(5.0(2.0(3.1(x1))))))) -> 3^1.1(4.0(2.0(3.0(0.0(5.0(0.0(1.0(3.1(x1)))))))))
   3^1.0(2.0(3.0(5.0(5.0(2.0(3.0(x1))))))) -> 4^1.0(2.0(3.0(0.0(5.0(0.0(1.0(3.0(x1))))))))
   3^1.0(2.0(3.0(5.0(5.0(2.0(3.1(x1))))))) -> 4^1.0(2.0(3.0(0.0(5.0(0.0(1.0(3.1(x1))))))))
   3^1.0(2.0(3.0(5.0(5.0(2.0(3.0(x1))))))) -> 2^1.0(3.0(0.0(5.0(0.0(1.0(3.0(x1)))))))
   3^1.0(2.0(3.0(5.0(5.0(2.0(3.1(x1))))))) -> 2^1.0(3.0(0.0(5.0(0.0(1.0(3.1(x1)))))))
   3^1.0(2.0(3.0(5.0(5.0(2.0(3.0(x1))))))) -> 3^1.0(0.0(5.0(0.0(1.0(3.0(x1))))))
   3^1.0(2.0(3.0(5.0(5.0(2.0(3.1(x1))))))) -> 3^1.0(0.0(5.0(0.0(1.0(3.1(x1))))))
   3^1.0(2.0(3.0(5.0(5.0(2.0(3.0(x1))))))) -> 0^1.0(5.0(0.0(1.0(3.0(x1)))))
   3^1.0(2.0(3.0(5.0(5.0(2.0(3.1(x1))))))) -> 0^1.0(5.0(0.0(1.0(3.1(x1)))))
   3^1.0(2.0(3.0(5.0(5.0(2.0(3.0(x1))))))) -> 5^1.0(0.0(1.0(3.0(x1))))
   3^1.0(2.0(3.0(5.0(5.0(2.0(3.1(x1))))))) -> 5^1.0(0.0(1.0(3.1(x1))))
   3^1.0(2.0(3.0(5.0(5.0(2.0(3.0(x1))))))) -> 0^1.0(1.0(3.0(x1)))
   3^1.0(2.0(3.0(5.0(5.0(2.0(3.1(x1))))))) -> 0^1.0(1.0(3.1(x1)))
   3^1.0(2.0(3.0(5.0(5.0(2.0(3.0(x1))))))) -> 1^1.0(3.0(x1))
   3^1.0(2.0(3.0(5.0(5.0(2.0(3.1(x1))))))) -> 1^1.0(3.1(x1))
   2^1.0(1.0(0.0(0.0(x1)))) -> 0^1.0(0.0(3.0(5.1(4.1(4.0(5.1(4.0(3.0(x1)))))))))
   0^1.0(2.0(1.1(4.0(5.0(x1))))) -> 0^1.0(3.0(1.1(4.0(0.0(3.1(4.1(4.0(0.0(0.0(x1))))))))))
   0^1.0(2.0(1.1(4.0(5.1(x1))))) -> 0^1.0(3.0(1.1(4.0(0.0(3.1(4.1(4.0(0.0(0.1(x1))))))))))
   2^1.0(1.0(0.0(0.1(x1)))) -> 0^1.0(0.0(3.0(5.1(4.1(4.0(5.1(4.0(3.1(x1)))))))))
   0^1.0(2.0(1.1(4.0(5.0(x1))))) -> 3^1.0(1.1(4.0(0.0(3.1(4.1(4.0(0.0(0.0(x1)))))))))
   0^1.0(2.0(1.1(4.0(5.1(x1))))) -> 3^1.0(1.1(4.0(0.0(3.1(4.1(4.0(0.0(0.1(x1)))))))))
   0^1.0(2.0(1.1(4.0(5.0(x1))))) -> 1^1.1(4.0(0.0(3.1(4.1(4.0(0.0(0.0(x1))))))))
   0^1.0(2.0(1.1(4.0(5.1(x1))))) -> 1^1.1(4.0(0.0(3.1(4.1(4.0(0.0(0.1(x1))))))))
   0^1.0(2.0(1.1(4.0(5.0(x1))))) -> 4^1.0(0.0(3.1(4.1(4.0(0.0(0.0(x1)))))))
   0^1.0(2.0(1.1(4.0(5.1(x1))))) -> 4^1.0(0.0(3.1(4.1(4.0(0.0(0.1(x1)))))))
   0^1.0(2.0(1.1(4.0(5.0(x1))))) -> 0^1.0(3.1(4.1(4.0(0.0(0.0(x1))))))
   0^1.0(2.0(1.1(4.0(5.1(x1))))) -> 0^1.0(3.1(4.1(4.0(0.0(0.1(x1))))))
   0^1.0(2.0(1.1(4.0(5.0(x1))))) -> 3^1.1(4.1(4.0(0.0(0.0(x1)))))
   0^1.0(2.0(1.1(4.0(5.1(x1))))) -> 3^1.1(4.1(4.0(0.0(0.1(x1)))))
   0^1.0(2.0(1.1(4.0(5.0(x1))))) -> 4^1.1(4.0(0.0(0.0(x1))))
   0^1.0(2.0(1.1(4.0(5.1(x1))))) -> 4^1.1(4.0(0.0(0.1(x1))))
   0^1.0(2.0(1.1(4.0(5.0(x1))))) -> 4^1.0(0.0(0.0(x1)))
   0^1.0(2.0(1.1(4.0(5.1(x1))))) -> 4^1.0(0.0(0.1(x1)))
   0^1.0(2.0(1.1(4.0(5.0(x1))))) -> 0^1.0(0.0(x1))
   0^1.0(2.0(1.1(4.0(5.1(x1))))) -> 0^1.0(0.1(x1))
   0^1.0(2.0(1.1(4.0(5.0(x1))))) -> 0^1.0(x1)
   0^1.0(2.0(1.1(4.0(5.1(x1))))) -> 0^1.1(x1)
   0^1.0(5.0(1.0(1.0(5.0(0.0(x1)))))) -> 0^1.0(3.0(1.0(3.0(3.0(1.0(3.0(0.0(0.0(0.0(x1))))))))))
   0^1.0(5.0(1.0(1.0(5.0(0.1(x1)))))) -> 0^1.0(3.0(1.0(3.0(3.0(1.0(3.0(0.0(0.0(0.1(x1))))))))))
   0^1.0(5.0(1.0(1.0(5.0(0.0(x1)))))) -> 3^1.0(1.0(3.0(3.0(1.0(3.0(0.0(0.0(0.0(x1)))))))))
   0^1.0(5.0(1.0(1.0(5.0(0.1(x1)))))) -> 3^1.0(1.0(3.0(3.0(1.0(3.0(0.0(0.0(0.1(x1)))))))))
   0^1.0(5.0(1.0(1.0(5.0(0.0(x1)))))) -> 1^1.0(3.0(3.0(1.0(3.0(0.0(0.0(0.0(x1))))))))
   0^1.0(5.0(1.0(1.0(5.0(0.1(x1)))))) -> 1^1.0(3.0(3.0(1.0(3.0(0.0(0.0(0.1(x1))))))))
   0^1.0(5.0(1.0(1.0(5.0(0.0(x1)))))) -> 3^1.0(3.0(1.0(3.0(0.0(0.0(0.0(x1)))))))
   0^1.0(5.0(1.0(1.0(5.0(0.1(x1)))))) -> 3^1.0(3.0(1.0(3.0(0.0(0.0(0.1(x1)))))))
   0^1.0(5.0(1.0(1.0(5.0(0.0(x1)))))) -> 3^1.0(1.0(3.0(0.0(0.0(0.0(x1))))))
   0^1.0(5.0(1.0(1.0(5.0(0.1(x1)))))) -> 3^1.0(1.0(3.0(0.0(0.0(0.1(x1))))))
   0^1.0(5.0(1.0(1.0(5.0(0.0(x1)))))) -> 1^1.0(3.0(0.0(0.0(0.0(x1)))))
   0^1.0(5.0(1.0(1.0(5.0(0.1(x1)))))) -> 1^1.0(3.0(0.0(0.0(0.1(x1)))))
   0^1.0(5.0(1.0(1.0(5.0(0.0(x1)))))) -> 3^1.0(0.0(0.0(0.0(x1))))
   0^1.0(5.0(1.0(1.0(5.0(0.1(x1)))))) -> 3^1.0(0.0(0.0(0.1(x1))))
   0^1.0(5.0(1.0(1.0(5.0(0.0(x1)))))) -> 0^1.0(0.0(0.0(x1)))
   0^1.0(5.0(1.0(1.0(5.0(0.1(x1)))))) -> 0^1.0(0.0(0.1(x1)))
   0^1.0(5.0(1.0(1.0(5.0(0.0(x1)))))) -> 0^1.0(0.0(x1))
   0^1.0(5.0(1.0(1.0(5.0(0.1(x1)))))) -> 0^1.0(0.1(x1))
   0^1.0(5.0(5.0(1.0(2.0(3.0(x1)))))) -> 0^1.0(3.0(3.1(4.0(0.1(4.0(3.0(3.0(1.1(4.0(x1))))))))))
   0^1.0(5.0(5.0(1.0(2.0(3.1(x1)))))) -> 0^1.0(3.0(3.1(4.0(0.1(4.0(3.0(3.0(1.1(4.1(x1))))))))))
   0^1.0(5.0(5.0(1.0(2.0(3.0(x1)))))) -> 3^1.0(3.1(4.0(0.1(4.0(3.0(3.0(1.1(4.0(x1)))))))))
   0^1.0(5.0(5.0(1.0(2.0(3.1(x1)))))) -> 3^1.0(3.1(4.0(0.1(4.0(3.0(3.0(1.1(4.1(x1)))))))))
   0^1.0(5.0(5.0(1.0(2.0(3.0(x1)))))) -> 3^1.1(4.0(0.1(4.0(3.0(3.0(1.1(4.0(x1))))))))
   0^1.0(5.0(5.0(1.0(2.0(3.1(x1)))))) -> 3^1.1(4.0(0.1(4.0(3.0(3.0(1.1(4.1(x1))))))))
   0^1.0(5.0(5.0(1.0(2.0(3.0(x1)))))) -> 4^1.0(0.1(4.0(3.0(3.0(1.1(4.0(x1)))))))
   0^1.0(5.0(5.0(1.0(2.0(3.1(x1)))))) -> 4^1.0(0.1(4.0(3.0(3.0(1.1(4.1(x1)))))))
   0^1.0(5.0(5.0(1.0(2.0(3.0(x1)))))) -> 0^1.1(4.0(3.0(3.0(1.1(4.0(x1))))))
   0^1.0(5.0(5.0(1.0(2.0(3.1(x1)))))) -> 0^1.1(4.0(3.0(3.0(1.1(4.1(x1))))))
   0^1.0(5.0(5.0(1.0(2.0(3.0(x1)))))) -> 4^1.0(3.0(3.0(1.1(4.0(x1)))))
   0^1.0(5.0(5.0(1.0(2.0(3.1(x1)))))) -> 4^1.0(3.0(3.0(1.1(4.1(x1)))))
   0^1.0(5.0(5.0(1.0(2.0(3.0(x1)))))) -> 3^1.0(3.0(1.1(4.0(x1))))
   0^1.0(5.0(5.0(1.0(2.0(3.1(x1)))))) -> 3^1.0(3.0(1.1(4.1(x1))))
   0^1.0(5.0(5.0(1.0(2.0(3.0(x1)))))) -> 3^1.0(1.1(4.0(x1)))
   0^1.0(5.0(5.0(1.0(2.0(3.1(x1)))))) -> 3^1.0(1.1(4.1(x1)))
   0^1.0(5.0(5.0(1.0(2.0(3.0(x1)))))) -> 1^1.1(4.0(x1))
   0^1.0(5.0(5.0(1.0(2.0(3.1(x1)))))) -> 1^1.1(4.1(x1))
   0^1.0(5.0(5.0(1.0(2.0(3.0(x1)))))) -> 4^1.0(x1)
   0^1.0(5.0(5.0(1.0(2.0(3.1(x1)))))) -> 4^1.1(x1)
   0^1.0(2.0(2.0(5.0(2.0(3.0(x1)))))) -> 0^1.0(3.0(5.0(3.0(1.0(2.0(0.1(4.1(4.0(3.0(x1))))))))))
   0^1.0(2.0(2.0(5.0(2.0(3.1(x1)))))) -> 0^1.0(3.0(5.0(3.0(1.0(2.0(0.1(4.1(4.0(3.1(x1))))))))))
   0^1.0(2.0(2.0(5.0(2.0(3.0(x1)))))) -> 3^1.0(5.0(3.0(1.0(2.0(0.1(4.1(4.0(3.0(x1)))))))))
   0^1.0(2.0(2.0(5.0(2.0(3.1(x1)))))) -> 3^1.0(5.0(3.0(1.0(2.0(0.1(4.1(4.0(3.1(x1)))))))))
   0^1.0(2.0(2.0(5.0(2.0(3.0(x1)))))) -> 5^1.0(3.0(1.0(2.0(0.1(4.1(4.0(3.0(x1))))))))
   0^1.0(2.0(2.0(5.0(2.0(3.1(x1)))))) -> 5^1.0(3.0(1.0(2.0(0.1(4.1(4.0(3.1(x1))))))))
   0^1.0(2.0(2.0(5.0(2.0(3.0(x1)))))) -> 3^1.0(1.0(2.0(0.1(4.1(4.0(3.0(x1)))))))
   0^1.0(2.0(2.0(5.0(2.0(3.1(x1)))))) -> 3^1.0(1.0(2.0(0.1(4.1(4.0(3.1(x1)))))))
   0^1.0(2.0(2.0(5.0(2.0(3.0(x1)))))) -> 1^1.0(2.0(0.1(4.1(4.0(3.0(x1))))))
   0^1.0(2.0(2.0(5.0(2.0(3.1(x1)))))) -> 1^1.0(2.0(0.1(4.1(4.0(3.1(x1))))))
   0^1.0(2.0(2.0(5.0(2.0(3.0(x1)))))) -> 2^1.0(0.1(4.1(4.0(3.0(x1)))))
   0^1.0(2.0(2.0(5.0(2.0(3.1(x1)))))) -> 2^1.0(0.1(4.1(4.0(3.1(x1)))))
   0^1.0(2.0(2.0(5.0(2.0(3.0(x1)))))) -> 0^1.1(4.1(4.0(3.0(x1))))
   0^1.0(2.0(2.0(5.0(2.0(3.1(x1)))))) -> 0^1.1(4.1(4.0(3.1(x1))))
   0^1.0(2.0(2.0(5.0(2.0(3.0(x1)))))) -> 4^1.1(4.0(3.0(x1)))
   0^1.0(2.0(2.0(5.0(2.0(3.1(x1)))))) -> 4^1.1(4.0(3.1(x1)))
   0^1.0(2.0(2.0(5.0(2.0(3.0(x1)))))) -> 4^1.0(3.0(x1))
   0^1.0(2.0(2.0(5.0(2.0(3.1(x1)))))) -> 4^1.0(3.1(x1))
   0^1.0(5.0(3.0(2.0(1.0(5.0(x1)))))) -> 0^1.0(3.0(3.1(4.1(4.0(2.1(4.1(4.0(2.0(2.0(x1))))))))))
   0^1.0(5.0(3.0(2.0(1.0(5.1(x1)))))) -> 0^1.0(3.0(3.1(4.1(4.0(2.1(4.1(4.0(2.0(2.1(x1))))))))))
   0^1.0(5.0(3.0(2.0(1.0(5.0(x1)))))) -> 3^1.0(3.1(4.1(4.0(2.1(4.1(4.0(2.0(2.0(x1)))))))))
   0^1.0(5.0(3.0(2.0(1.0(5.1(x1)))))) -> 3^1.0(3.1(4.1(4.0(2.1(4.1(4.0(2.0(2.1(x1)))))))))
   0^1.0(5.0(3.0(2.0(1.0(5.0(x1)))))) -> 3^1.1(4.1(4.0(2.1(4.1(4.0(2.0(2.0(x1))))))))
   0^1.0(5.0(3.0(2.0(1.0(5.1(x1)))))) -> 3^1.1(4.1(4.0(2.1(4.1(4.0(2.0(2.1(x1))))))))
   0^1.0(5.0(3.0(2.0(1.0(5.0(x1)))))) -> 4^1.1(4.0(2.1(4.1(4.0(2.0(2.0(x1)))))))
   0^1.0(5.0(3.0(2.0(1.0(5.1(x1)))))) -> 4^1.1(4.0(2.1(4.1(4.0(2.0(2.1(x1)))))))
   0^1.0(5.0(3.0(2.0(1.0(5.0(x1)))))) -> 4^1.0(2.1(4.1(4.0(2.0(2.0(x1))))))
   0^1.0(5.0(3.0(2.0(1.0(5.1(x1)))))) -> 4^1.0(2.1(4.1(4.0(2.0(2.1(x1))))))
   0^1.0(5.0(3.0(2.0(1.0(5.0(x1)))))) -> 2^1.1(4.1(4.0(2.0(2.0(x1)))))
   0^1.0(5.0(3.0(2.0(1.0(5.1(x1)))))) -> 2^1.1(4.1(4.0(2.0(2.1(x1)))))
   0^1.0(5.0(3.0(2.0(1.0(5.0(x1)))))) -> 4^1.1(4.0(2.0(2.0(x1))))
   0^1.0(5.0(3.0(2.0(1.0(5.1(x1)))))) -> 4^1.1(4.0(2.0(2.1(x1))))
   0^1.0(5.0(3.0(2.0(1.0(5.0(x1)))))) -> 4^1.0(2.0(2.0(x1)))
   0^1.0(5.0(3.0(2.0(1.0(5.1(x1)))))) -> 4^1.0(2.0(2.1(x1)))
   0^1.0(5.0(3.0(2.0(1.0(5.0(x1)))))) -> 2^1.0(2.0(x1))
   0^1.0(5.0(3.0(2.0(1.0(5.1(x1)))))) -> 2^1.0(2.1(x1))
   0^1.0(5.0(3.0(2.0(1.0(5.0(x1)))))) -> 2^1.0(x1)
   0^1.0(5.0(3.0(2.0(1.0(5.1(x1)))))) -> 2^1.1(x1)
   0^1.0(2.0(2.0(5.0(5.1(4.0(1.0(x1))))))) -> 0^1.0(3.0(0.0(5.1(4.1(4.0(3.0(1.0(2.0(3.0(x1))))))))))
   0^1.0(2.0(2.0(5.0(5.1(4.0(1.1(x1))))))) -> 0^1.0(3.0(0.0(5.1(4.1(4.0(3.0(1.0(2.0(3.1(x1))))))))))
   0^1.0(2.0(2.0(5.0(5.1(4.0(1.0(x1))))))) -> 3^1.0(0.0(5.1(4.1(4.0(3.0(1.0(2.0(3.0(x1)))))))))
   0^1.0(2.0(2.0(5.0(5.1(4.0(1.1(x1))))))) -> 3^1.0(0.0(5.1(4.1(4.0(3.0(1.0(2.0(3.1(x1)))))))))
   0^1.0(2.0(2.0(5.0(5.1(4.0(1.0(x1))))))) -> 0^1.0(5.1(4.1(4.0(3.0(1.0(2.0(3.0(x1))))))))
   0^1.0(2.0(2.0(5.0(5.1(4.0(1.1(x1))))))) -> 0^1.0(5.1(4.1(4.0(3.0(1.0(2.0(3.1(x1))))))))
   0^1.0(2.0(2.0(5.0(5.1(4.0(1.0(x1))))))) -> 5^1.1(4.1(4.0(3.0(1.0(2.0(3.0(x1)))))))
   0^1.0(2.0(2.0(5.0(5.1(4.0(1.1(x1))))))) -> 5^1.1(4.1(4.0(3.0(1.0(2.0(3.1(x1)))))))
   0^1.0(2.0(2.0(5.0(5.1(4.0(1.0(x1))))))) -> 4^1.1(4.0(3.0(1.0(2.0(3.0(x1))))))
   0^1.0(2.0(2.0(5.0(5.1(4.0(1.1(x1))))))) -> 4^1.1(4.0(3.0(1.0(2.0(3.1(x1))))))
   0^1.0(2.0(2.0(5.0(5.1(4.0(1.0(x1))))))) -> 4^1.0(3.0(1.0(2.0(3.0(x1)))))
   0^1.0(2.0(2.0(5.0(5.1(4.0(1.1(x1))))))) -> 4^1.0(3.0(1.0(2.0(3.1(x1)))))
   0^1.0(2.0(2.0(5.0(5.1(4.0(1.0(x1))))))) -> 3^1.0(1.0(2.0(3.0(x1))))
   0^1.0(2.0(2.0(5.0(5.1(4.0(1.1(x1))))))) -> 3^1.0(1.0(2.0(3.1(x1))))
   0^1.0(2.0(2.0(5.0(5.1(4.0(1.0(x1))))))) -> 1^1.0(2.0(3.0(x1)))
   0^1.0(2.0(2.0(5.0(5.1(4.0(1.1(x1))))))) -> 1^1.0(2.0(3.1(x1)))
   0^1.0(2.0(2.0(5.0(5.1(4.0(1.0(x1))))))) -> 2^1.0(3.0(x1))
   0^1.0(2.0(2.0(5.0(5.1(4.0(1.1(x1))))))) -> 2^1.0(3.1(x1))
   0^1.0(2.0(2.0(5.0(5.1(4.0(1.0(x1))))))) -> 3^1.0(x1)
   0^1.0(2.0(2.0(5.0(5.1(4.0(1.1(x1))))))) -> 3^1.1(x1)
   0^1.0(5.0(2.0(2.0(0.1(4.0(2.0(x1))))))) -> 0^1.0(3.0(0.1(4.1(4.0(5.1(4.0(0.0(3.0(1.0(x1))))))))))
   0^1.0(5.0(2.0(2.0(0.1(4.0(2.1(x1))))))) -> 0^1.0(3.0(0.1(4.1(4.0(5.1(4.0(0.0(3.0(1.1(x1))))))))))
   0^1.0(5.0(2.0(2.0(0.1(4.0(2.0(x1))))))) -> 3^1.0(0.1(4.1(4.0(5.1(4.0(0.0(3.0(1.0(x1)))))))))
   0^1.0(5.0(2.0(2.0(0.1(4.0(2.1(x1))))))) -> 3^1.0(0.1(4.1(4.0(5.1(4.0(0.0(3.0(1.1(x1)))))))))
   0^1.0(5.0(2.0(2.0(0.1(4.0(2.0(x1))))))) -> 0^1.1(4.1(4.0(5.1(4.0(0.0(3.0(1.0(x1))))))))
   0^1.0(5.0(2.0(2.0(0.1(4.0(2.1(x1))))))) -> 0^1.1(4.1(4.0(5.1(4.0(0.0(3.0(1.1(x1))))))))
   0^1.0(5.0(2.0(2.0(0.1(4.0(2.0(x1))))))) -> 4^1.1(4.0(5.1(4.0(0.0(3.0(1.0(x1)))))))
   0^1.0(5.0(2.0(2.0(0.1(4.0(2.1(x1))))))) -> 4^1.1(4.0(5.1(4.0(0.0(3.0(1.1(x1)))))))
   0^1.0(5.0(2.0(2.0(0.1(4.0(2.0(x1))))))) -> 4^1.0(5.1(4.0(0.0(3.0(1.0(x1))))))
   0^1.0(5.0(2.0(2.0(0.1(4.0(2.1(x1))))))) -> 4^1.0(5.1(4.0(0.0(3.0(1.1(x1))))))
   0^1.0(5.0(2.0(2.0(0.1(4.0(2.0(x1))))))) -> 5^1.1(4.0(0.0(3.0(1.0(x1)))))
   0^1.0(5.0(2.0(2.0(0.1(4.0(2.1(x1))))))) -> 5^1.1(4.0(0.0(3.0(1.1(x1)))))
   0^1.0(5.0(2.0(2.0(0.1(4.0(2.0(x1))))))) -> 4^1.0(0.0(3.0(1.0(x1))))
   0^1.0(5.0(2.0(2.0(0.1(4.0(2.1(x1))))))) -> 4^1.0(0.0(3.0(1.1(x1))))
   0^1.0(5.0(2.0(2.0(0.1(4.0(2.0(x1))))))) -> 0^1.0(3.0(1.0(x1)))
   0^1.0(5.0(2.0(2.0(0.1(4.0(2.1(x1))))))) -> 0^1.0(3.0(1.1(x1)))
   0^1.0(5.0(2.0(2.0(0.1(4.0(2.0(x1))))))) -> 3^1.0(1.0(x1))
   0^1.0(5.0(2.0(2.0(0.1(4.0(2.1(x1))))))) -> 3^1.0(1.1(x1))
   0^1.0(5.0(2.0(2.0(0.1(4.0(2.0(x1))))))) -> 1^1.0(x1)
   0^1.0(5.0(2.0(2.0(0.1(4.0(2.1(x1))))))) -> 1^1.1(x1)
   0^1.0(5.0(2.0(0.0(5.1(4.0(2.0(x1))))))) -> 1^1.0(1.0(5.0(0.1(4.0(3.0(1.0(3.1(4.1(4.0(x1))))))))))
   0^1.0(5.0(2.0(0.0(5.1(4.0(2.1(x1))))))) -> 1^1.0(1.0(5.0(0.1(4.0(3.0(1.0(3.1(4.1(4.1(x1))))))))))
   0^1.0(5.0(2.0(0.0(5.1(4.0(2.0(x1))))))) -> 1^1.0(5.0(0.1(4.0(3.0(1.0(3.1(4.1(4.0(x1)))))))))
   0^1.0(5.0(2.0(0.0(5.1(4.0(2.1(x1))))))) -> 1^1.0(5.0(0.1(4.0(3.0(1.0(3.1(4.1(4.1(x1)))))))))
   0^1.0(5.0(2.0(0.0(5.1(4.0(2.0(x1))))))) -> 5^1.0(0.1(4.0(3.0(1.0(3.1(4.1(4.0(x1))))))))
   0^1.0(5.0(2.0(0.0(5.1(4.0(2.1(x1))))))) -> 5^1.0(0.1(4.0(3.0(1.0(3.1(4.1(4.1(x1))))))))
   0^1.0(5.0(2.0(0.0(5.1(4.0(2.0(x1))))))) -> 0^1.1(4.0(3.0(1.0(3.1(4.1(4.0(x1)))))))
   0^1.0(5.0(2.0(0.0(5.1(4.0(2.1(x1))))))) -> 0^1.1(4.0(3.0(1.0(3.1(4.1(4.1(x1)))))))
   0^1.0(5.0(2.0(0.0(5.1(4.0(2.0(x1))))))) -> 4^1.0(3.0(1.0(3.1(4.1(4.0(x1))))))
   0^1.0(5.0(2.0(0.0(5.1(4.0(2.1(x1))))))) -> 4^1.0(3.0(1.0(3.1(4.1(4.1(x1))))))
   0^1.0(5.0(2.0(0.0(5.1(4.0(2.0(x1))))))) -> 3^1.0(1.0(3.1(4.1(4.0(x1)))))
   0^1.0(5.0(2.0(0.0(5.1(4.0(2.1(x1))))))) -> 3^1.0(1.0(3.1(4.1(4.1(x1)))))
   0^1.0(5.0(2.0(0.0(5.1(4.0(2.0(x1))))))) -> 1^1.0(3.1(4.1(4.0(x1))))
   0^1.0(5.0(2.0(0.0(5.1(4.0(2.1(x1))))))) -> 1^1.0(3.1(4.1(4.1(x1))))
   0^1.0(5.0(2.0(0.0(5.1(4.0(2.0(x1))))))) -> 3^1.1(4.1(4.0(x1)))
   0^1.0(5.0(2.0(0.0(5.1(4.0(2.1(x1))))))) -> 3^1.1(4.1(4.1(x1)))
   0^1.0(5.0(2.0(0.0(5.1(4.0(2.0(x1))))))) -> 4^1.1(4.0(x1))
   0^1.0(5.0(2.0(0.0(5.1(4.0(2.1(x1))))))) -> 4^1.1(4.1(x1))
   0^1.0(5.0(2.0(0.0(5.1(4.0(2.0(x1))))))) -> 4^1.0(x1)
   0^1.0(5.0(2.0(0.0(5.1(4.0(2.1(x1))))))) -> 4^1.1(x1)
   0^1.0(5.0(2.0(5.0(2.0(3.0(5.0(x1))))))) -> 1^1.0(3.0(0.0(3.1(4.1(4.0(2.0(2.1(4.0(5.0(x1))))))))))
   0^1.0(5.0(2.0(5.0(2.0(3.0(5.1(x1))))))) -> 1^1.0(3.0(0.0(3.1(4.1(4.0(2.0(2.1(4.0(5.1(x1))))))))))
   0^1.0(5.0(2.0(5.0(2.0(3.0(5.0(x1))))))) -> 3^1.0(0.0(3.1(4.1(4.0(2.0(2.1(4.0(5.0(x1)))))))))
   0^1.0(5.0(2.0(5.0(2.0(3.0(5.1(x1))))))) -> 3^1.0(0.0(3.1(4.1(4.0(2.0(2.1(4.0(5.1(x1)))))))))
   0^1.0(5.0(2.0(5.0(2.0(3.0(5.0(x1))))))) -> 0^1.0(3.1(4.1(4.0(2.0(2.1(4.0(5.0(x1))))))))
   0^1.0(5.0(2.0(5.0(2.0(3.0(5.1(x1))))))) -> 0^1.0(3.1(4.1(4.0(2.0(2.1(4.0(5.1(x1))))))))
   0^1.0(5.0(2.0(5.0(2.0(3.0(5.0(x1))))))) -> 3^1.1(4.1(4.0(2.0(2.1(4.0(5.0(x1)))))))
   0^1.0(5.0(2.0(5.0(2.0(3.0(5.1(x1))))))) -> 3^1.1(4.1(4.0(2.0(2.1(4.0(5.1(x1)))))))
   0^1.0(5.0(2.0(5.0(2.0(3.0(5.0(x1))))))) -> 4^1.1(4.0(2.0(2.1(4.0(5.0(x1))))))
   0^1.0(5.0(2.0(5.0(2.0(3.0(5.1(x1))))))) -> 4^1.1(4.0(2.0(2.1(4.0(5.1(x1))))))
   0^1.0(5.0(2.0(5.0(2.0(3.0(5.0(x1))))))) -> 4^1.0(2.0(2.1(4.0(5.0(x1)))))
   0^1.0(5.0(2.0(5.0(2.0(3.0(5.1(x1))))))) -> 4^1.0(2.0(2.1(4.0(5.1(x1)))))
   0^1.0(5.0(2.0(5.0(2.0(3.0(5.0(x1))))))) -> 2^1.0(2.1(4.0(5.0(x1))))
   0^1.0(5.0(2.0(5.0(2.0(3.0(5.1(x1))))))) -> 2^1.0(2.1(4.0(5.1(x1))))
   0^1.0(5.0(2.0(5.0(2.0(3.0(5.0(x1))))))) -> 2^1.1(4.0(5.0(x1)))
   0^1.0(5.0(2.0(5.0(2.0(3.0(5.1(x1))))))) -> 2^1.1(4.0(5.1(x1)))
   0^1.0(5.0(2.0(5.0(2.0(3.0(5.0(x1))))))) -> 4^1.0(5.0(x1))
   0^1.0(5.0(2.0(5.0(2.0(3.0(5.1(x1))))))) -> 4^1.0(5.1(x1))
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.0(x1))))))) -> 0^1.0(3.0(0.0(1.0(3.0(1.0(5.0(3.0(5.0(0.0(x1))))))))))
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.1(x1))))))) -> 0^1.0(3.0(0.0(1.0(3.0(1.0(5.0(3.0(5.0(0.1(x1))))))))))
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.0(x1))))))) -> 3^1.0(0.0(1.0(3.0(1.0(5.0(3.0(5.0(0.0(x1)))))))))
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.1(x1))))))) -> 3^1.0(0.0(1.0(3.0(1.0(5.0(3.0(5.0(0.1(x1)))))))))
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.0(x1))))))) -> 0^1.0(1.0(3.0(1.0(5.0(3.0(5.0(0.0(x1))))))))
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.1(x1))))))) -> 0^1.0(1.0(3.0(1.0(5.0(3.0(5.0(0.1(x1))))))))
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.0(x1))))))) -> 1^1.0(3.0(1.0(5.0(3.0(5.0(0.0(x1)))))))
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.1(x1))))))) -> 1^1.0(3.0(1.0(5.0(3.0(5.0(0.1(x1)))))))
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.0(x1))))))) -> 3^1.0(1.0(5.0(3.0(5.0(0.0(x1))))))
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.1(x1))))))) -> 3^1.0(1.0(5.0(3.0(5.0(0.1(x1))))))
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.0(x1))))))) -> 1^1.0(5.0(3.0(5.0(0.0(x1)))))
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.1(x1))))))) -> 1^1.0(5.0(3.0(5.0(0.1(x1)))))
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.0(x1))))))) -> 5^1.0(3.0(5.0(0.0(x1))))
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.1(x1))))))) -> 5^1.0(3.0(5.0(0.1(x1))))
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.0(x1))))))) -> 3^1.0(5.0(0.0(x1)))
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.1(x1))))))) -> 3^1.0(5.0(0.1(x1)))
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.0(x1))))))) -> 5^1.0(0.0(x1))
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.1(x1))))))) -> 5^1.0(0.1(x1))
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.0(x1))))))) -> 0^1.0(x1)
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.1(x1))))))) -> 0^1.1(x1)
   0^1.0(1.0(1.0(2.0(5.0(5.0(5.0(x1))))))) -> 1^1.0(3.0(3.0(2.1(4.0(5.1(4.0(2.0(2.1(4.0(x1))))))))))
   0^1.0(1.0(1.0(2.0(5.0(5.0(5.1(x1))))))) -> 1^1.0(3.0(3.0(2.1(4.0(5.1(4.0(2.0(2.1(4.1(x1))))))))))
   0^1.0(1.0(1.0(2.0(5.0(5.0(5.0(x1))))))) -> 3^1.0(3.0(2.1(4.0(5.1(4.0(2.0(2.1(4.0(x1)))))))))
   0^1.0(1.0(1.0(2.0(5.0(5.0(5.1(x1))))))) -> 3^1.0(3.0(2.1(4.0(5.1(4.0(2.0(2.1(4.1(x1)))))))))
   0^1.0(1.0(1.0(2.0(5.0(5.0(5.0(x1))))))) -> 3^1.0(2.1(4.0(5.1(4.0(2.0(2.1(4.0(x1))))))))
   0^1.0(1.0(1.0(2.0(5.0(5.0(5.1(x1))))))) -> 3^1.0(2.1(4.0(5.1(4.0(2.0(2.1(4.1(x1))))))))
   0^1.0(1.0(1.0(2.0(5.0(5.0(5.0(x1))))))) -> 2^1.1(4.0(5.1(4.0(2.0(2.1(4.0(x1)))))))
   0^1.0(1.0(1.0(2.0(5.0(5.0(5.1(x1))))))) -> 2^1.1(4.0(5.1(4.0(2.0(2.1(4.1(x1)))))))
   0^1.0(1.0(1.0(2.0(5.0(5.0(5.0(x1))))))) -> 4^1.0(5.1(4.0(2.0(2.1(4.0(x1))))))
   0^1.0(1.0(1.0(2.0(5.0(5.0(5.1(x1))))))) -> 4^1.0(5.1(4.0(2.0(2.1(4.1(x1))))))
   0^1.0(1.0(1.0(2.0(5.0(5.0(5.0(x1))))))) -> 5^1.1(4.0(2.0(2.1(4.0(x1)))))
   0^1.0(1.0(1.0(2.0(5.0(5.0(5.1(x1))))))) -> 5^1.1(4.0(2.0(2.1(4.1(x1)))))
   0^1.0(1.0(1.0(2.0(5.0(5.0(5.0(x1))))))) -> 4^1.0(2.0(2.1(4.0(x1))))
   0^1.0(1.0(1.0(2.0(5.0(5.0(5.1(x1))))))) -> 4^1.0(2.0(2.1(4.1(x1))))
   0^1.0(1.0(1.0(2.0(5.0(5.0(5.0(x1))))))) -> 2^1.0(2.1(4.0(x1)))
   0^1.0(1.0(1.0(2.0(5.0(5.0(5.1(x1))))))) -> 2^1.0(2.1(4.1(x1)))
   0^1.0(1.0(1.0(2.0(5.0(5.0(5.0(x1))))))) -> 2^1.1(4.0(x1))
   0^1.0(1.0(1.0(2.0(5.0(5.0(5.1(x1))))))) -> 2^1.1(4.1(x1))
   0^1.0(1.0(1.0(2.0(5.0(5.0(5.0(x1))))))) -> 4^1.0(x1)
   0^1.0(1.0(1.0(2.0(5.0(5.0(5.1(x1))))))) -> 4^1.1(x1)
   0^1.0(0.0(2.0(2.0(5.0(5.0(5.0(x1))))))) -> 1^1.0(3.0(3.0(2.1(4.0(3.0(3.0(0.1(4.0(1.0(x1))))))))))
   0^1.0(0.0(2.0(2.0(5.0(5.0(5.1(x1))))))) -> 1^1.0(3.0(3.0(2.1(4.0(3.0(3.0(0.1(4.0(1.1(x1))))))))))
   0^1.0(0.0(2.0(2.0(5.0(5.0(5.0(x1))))))) -> 3^1.0(3.0(2.1(4.0(3.0(3.0(0.1(4.0(1.0(x1)))))))))
   0^1.0(0.0(2.0(2.0(5.0(5.0(5.1(x1))))))) -> 3^1.0(3.0(2.1(4.0(3.0(3.0(0.1(4.0(1.1(x1)))))))))
   0^1.0(0.0(2.0(2.0(5.0(5.0(5.0(x1))))))) -> 3^1.0(2.1(4.0(3.0(3.0(0.1(4.0(1.0(x1))))))))
   0^1.0(0.0(2.0(2.0(5.0(5.0(5.1(x1))))))) -> 3^1.0(2.1(4.0(3.0(3.0(0.1(4.0(1.1(x1))))))))
   0^1.0(0.0(2.0(2.0(5.0(5.0(5.0(x1))))))) -> 2^1.1(4.0(3.0(3.0(0.1(4.0(1.0(x1)))))))
   0^1.0(0.0(2.0(2.0(5.0(5.0(5.1(x1))))))) -> 2^1.1(4.0(3.0(3.0(0.1(4.0(1.1(x1)))))))
   0^1.0(0.0(2.0(2.0(5.0(5.0(5.0(x1))))))) -> 4^1.0(3.0(3.0(0.1(4.0(1.0(x1))))))
   0^1.0(0.0(2.0(2.0(5.0(5.0(5.1(x1))))))) -> 4^1.0(3.0(3.0(0.1(4.0(1.1(x1))))))
   0^1.0(0.0(2.0(2.0(5.0(5.0(5.0(x1))))))) -> 3^1.0(3.0(0.1(4.0(1.0(x1)))))
   0^1.0(0.0(2.0(2.0(5.0(5.0(5.1(x1))))))) -> 3^1.0(3.0(0.1(4.0(1.1(x1)))))
   0^1.0(0.0(2.0(2.0(5.0(5.0(5.0(x1))))))) -> 3^1.0(0.1(4.0(1.0(x1))))
   0^1.0(0.0(2.0(2.0(5.0(5.0(5.1(x1))))))) -> 3^1.0(0.1(4.0(1.1(x1))))
   0^1.0(0.0(2.0(2.0(5.0(5.0(5.0(x1))))))) -> 0^1.1(4.0(1.0(x1)))
   0^1.0(0.0(2.0(2.0(5.0(5.0(5.1(x1))))))) -> 0^1.1(4.0(1.1(x1)))
   0^1.0(0.0(2.0(2.0(5.0(5.0(5.0(x1))))))) -> 4^1.0(1.0(x1))
   0^1.0(0.0(2.0(2.0(5.0(5.0(5.1(x1))))))) -> 4^1.0(1.1(x1))
   0^1.0(0.0(2.0(2.0(5.0(5.0(5.0(x1))))))) -> 1^1.0(x1)
   0^1.0(0.0(2.0(2.0(5.0(5.0(5.1(x1))))))) -> 1^1.1(x1)
   2^1.0(1.0(0.0(0.0(x1)))) -> 0^1.0(3.0(5.1(4.1(4.0(5.1(4.0(3.0(x1))))))))
   2^1.0(1.0(0.0(0.1(x1)))) -> 0^1.0(3.0(5.1(4.1(4.0(5.1(4.0(3.1(x1))))))))
   2^1.0(1.0(0.0(0.0(x1)))) -> 3^1.0(5.1(4.1(4.0(5.1(4.0(3.0(x1)))))))
   2^1.0(1.0(0.0(0.1(x1)))) -> 3^1.0(5.1(4.1(4.0(5.1(4.0(3.1(x1)))))))
   2^1.0(1.0(0.0(0.0(x1)))) -> 5^1.1(4.1(4.0(5.1(4.0(3.0(x1))))))
   5^1.0(3.0(5.0(2.0(3.0(0.0(x1)))))) -> 5^1.0(3.0(3.1(4.0(3.1(4.1(4.0(3.0(1.0(3.0(x1))))))))))
   5^1.0(3.0(5.0(2.0(3.0(0.1(x1)))))) -> 5^1.0(3.0(3.1(4.0(3.1(4.1(4.0(3.0(1.0(3.1(x1))))))))))
   2^1.0(1.0(0.0(0.1(x1)))) -> 5^1.1(4.1(4.0(5.1(4.0(3.1(x1))))))
   5^1.0(3.0(5.0(2.0(3.0(0.0(x1)))))) -> 3^1.0(3.1(4.0(3.1(4.1(4.0(3.0(1.0(3.0(x1)))))))))
   5^1.0(3.0(5.0(2.0(3.0(0.1(x1)))))) -> 3^1.0(3.1(4.0(3.1(4.1(4.0(3.0(1.0(3.1(x1)))))))))
   5^1.0(3.0(5.0(2.0(3.0(0.0(x1)))))) -> 3^1.1(4.0(3.1(4.1(4.0(3.0(1.0(3.0(x1))))))))
   5^1.0(3.0(5.0(2.0(3.0(0.1(x1)))))) -> 3^1.1(4.0(3.1(4.1(4.0(3.0(1.0(3.1(x1))))))))
   5^1.0(3.0(5.0(2.0(3.0(0.0(x1)))))) -> 4^1.0(3.1(4.1(4.0(3.0(1.0(3.0(x1)))))))
   5^1.0(3.0(5.0(2.0(3.0(0.1(x1)))))) -> 4^1.0(3.1(4.1(4.0(3.0(1.0(3.1(x1)))))))
   5^1.0(3.0(5.0(2.0(3.0(0.0(x1)))))) -> 3^1.1(4.1(4.0(3.0(1.0(3.0(x1))))))
   5^1.0(3.0(5.0(2.0(3.0(0.1(x1)))))) -> 3^1.1(4.1(4.0(3.0(1.0(3.1(x1))))))
   5^1.0(3.0(5.0(2.0(3.0(0.0(x1)))))) -> 4^1.1(4.0(3.0(1.0(3.0(x1)))))
   5^1.0(3.0(5.0(2.0(3.0(0.1(x1)))))) -> 4^1.1(4.0(3.0(1.0(3.1(x1)))))
   5^1.0(3.0(5.0(2.0(3.0(0.0(x1)))))) -> 4^1.0(3.0(1.0(3.0(x1))))
   5^1.0(3.0(5.0(2.0(3.0(0.1(x1)))))) -> 4^1.0(3.0(1.0(3.1(x1))))
   5^1.0(3.0(5.0(2.0(3.0(0.0(x1)))))) -> 3^1.0(1.0(3.0(x1)))
   5^1.0(3.0(5.0(2.0(3.0(0.1(x1)))))) -> 3^1.0(1.0(3.1(x1)))
   5^1.0(3.0(5.0(2.0(3.0(0.0(x1)))))) -> 1^1.0(3.0(x1))
   5^1.0(3.0(5.0(2.0(3.0(0.1(x1)))))) -> 1^1.0(3.1(x1))
   5^1.0(3.0(5.0(2.0(3.0(0.0(x1)))))) -> 3^1.0(x1)
   5^1.0(3.0(5.0(2.0(3.0(0.1(x1)))))) -> 3^1.1(x1)
   5^1.0(3.0(0.0(2.0(5.0(3.0(x1)))))) -> 5^1.0(2.1(4.1(4.0(3.1(4.0(3.1(4.0(3.0(3.0(x1))))))))))
   5^1.0(3.0(0.0(2.0(5.0(3.1(x1)))))) -> 5^1.0(2.1(4.1(4.0(3.1(4.0(3.1(4.0(3.0(3.1(x1))))))))))
   5^1.0(3.0(0.0(2.0(5.0(3.0(x1)))))) -> 2^1.1(4.1(4.0(3.1(4.0(3.1(4.0(3.0(3.0(x1)))))))))
   5^1.0(3.0(0.0(2.0(5.0(3.1(x1)))))) -> 2^1.1(4.1(4.0(3.1(4.0(3.1(4.0(3.0(3.1(x1)))))))))
   5^1.0(3.0(0.0(2.0(5.0(3.0(x1)))))) -> 4^1.1(4.0(3.1(4.0(3.1(4.0(3.0(3.0(x1))))))))
   5^1.0(3.0(0.0(2.0(5.0(3.1(x1)))))) -> 4^1.1(4.0(3.1(4.0(3.1(4.0(3.0(3.1(x1))))))))
   5^1.0(3.0(0.0(2.0(5.0(3.0(x1)))))) -> 4^1.0(3.1(4.0(3.1(4.0(3.0(3.0(x1)))))))
   5^1.0(3.0(0.0(2.0(5.0(3.1(x1)))))) -> 4^1.0(3.1(4.0(3.1(4.0(3.0(3.1(x1)))))))
   5^1.0(3.0(0.0(2.0(5.0(3.0(x1)))))) -> 3^1.1(4.0(3.1(4.0(3.0(3.0(x1))))))
   5^1.0(3.0(0.0(2.0(5.0(3.1(x1)))))) -> 3^1.1(4.0(3.1(4.0(3.0(3.1(x1))))))
   5^1.0(3.0(0.0(2.0(5.0(3.0(x1)))))) -> 4^1.0(3.1(4.0(3.0(3.0(x1)))))
   5^1.0(3.0(0.0(2.0(5.0(3.1(x1)))))) -> 4^1.0(3.1(4.0(3.0(3.1(x1)))))
   5^1.0(3.0(0.0(2.0(5.0(3.0(x1)))))) -> 3^1.1(4.0(3.0(3.0(x1))))
   5^1.0(3.0(0.0(2.0(5.0(3.1(x1)))))) -> 3^1.1(4.0(3.0(3.1(x1))))
   5^1.0(3.0(0.0(2.0(5.0(3.0(x1)))))) -> 4^1.0(3.0(3.0(x1)))
   5^1.0(3.0(0.0(2.0(5.0(3.1(x1)))))) -> 4^1.0(3.0(3.1(x1)))
   5^1.0(3.0(0.0(2.0(5.0(3.0(x1)))))) -> 3^1.0(3.0(x1))
   5^1.0(3.0(0.0(2.0(5.0(3.1(x1)))))) -> 3^1.0(3.1(x1))
   5^1.0(0.0(2.0(5.0(1.0(0.0(2.0(x1))))))) -> 5^1.0(2.0(0.0(3.0(1.0(3.0(0.0(0.1(4.0(3.0(x1))))))))))
   5^1.0(0.0(2.0(5.0(1.0(0.0(2.1(x1))))))) -> 5^1.0(2.0(0.0(3.0(1.0(3.0(0.0(0.1(4.0(3.1(x1))))))))))
   5^1.0(0.0(2.0(5.0(1.0(0.0(2.0(x1))))))) -> 2^1.0(0.0(3.0(1.0(3.0(0.0(0.1(4.0(3.0(x1)))))))))
   5^1.0(0.0(2.0(5.0(1.0(0.0(2.1(x1))))))) -> 2^1.0(0.0(3.0(1.0(3.0(0.0(0.1(4.0(3.1(x1)))))))))
   5^1.0(0.0(2.0(5.0(1.0(0.0(2.0(x1))))))) -> 0^1.0(3.0(1.0(3.0(0.0(0.1(4.0(3.0(x1))))))))
   5^1.0(0.0(2.0(5.0(1.0(0.0(2.1(x1))))))) -> 0^1.0(3.0(1.0(3.0(0.0(0.1(4.0(3.1(x1))))))))
   5^1.0(0.0(2.0(5.0(1.0(0.0(2.0(x1))))))) -> 3^1.0(1.0(3.0(0.0(0.1(4.0(3.0(x1)))))))
   5^1.0(0.0(2.0(5.0(1.0(0.0(2.1(x1))))))) -> 3^1.0(1.0(3.0(0.0(0.1(4.0(3.1(x1)))))))
   5^1.0(0.0(2.0(5.0(1.0(0.0(2.0(x1))))))) -> 1^1.0(3.0(0.0(0.1(4.0(3.0(x1))))))
   5^1.0(0.0(2.0(5.0(1.0(0.0(2.1(x1))))))) -> 1^1.0(3.0(0.0(0.1(4.0(3.1(x1))))))
   5^1.0(0.0(2.0(5.0(1.0(0.0(2.0(x1))))))) -> 3^1.0(0.0(0.1(4.0(3.0(x1)))))
   5^1.0(0.0(2.0(5.0(1.0(0.0(2.1(x1))))))) -> 3^1.0(0.0(0.1(4.0(3.1(x1)))))
   5^1.0(0.0(2.0(5.0(1.0(0.0(2.0(x1))))))) -> 0^1.0(0.1(4.0(3.0(x1))))
   5^1.0(0.0(2.0(5.0(1.0(0.0(2.1(x1))))))) -> 0^1.0(0.1(4.0(3.1(x1))))
   5^1.0(0.0(2.0(5.0(1.0(0.0(2.0(x1))))))) -> 0^1.1(4.0(3.0(x1)))
   5^1.0(0.0(2.0(5.0(1.0(0.0(2.1(x1))))))) -> 0^1.1(4.0(3.1(x1)))
   5^1.0(0.0(2.0(5.0(1.0(0.0(2.0(x1))))))) -> 4^1.0(3.0(x1))
   5^1.0(0.0(2.0(5.0(1.0(0.0(2.1(x1))))))) -> 4^1.0(3.1(x1))
   5^1.0(0.0(2.0(5.0(1.0(0.0(2.0(x1))))))) -> 3^1.0(x1)
   5^1.0(0.0(2.0(5.0(1.0(0.0(2.1(x1))))))) -> 3^1.1(x1)
   5^1.1(4.0(2.0(5.0(5.0(2.0(3.0(x1))))))) -> 5^1.1(4.0(3.1(4.0(2.0(3.0(0.0(0.0(0.0(3.0(x1))))))))))
   5^1.1(4.0(2.0(5.0(5.0(2.0(3.1(x1))))))) -> 5^1.1(4.0(3.1(4.0(2.0(3.0(0.0(0.0(0.0(3.1(x1))))))))))
   5^1.1(4.0(2.0(5.0(5.0(2.0(3.0(x1))))))) -> 4^1.0(3.1(4.0(2.0(3.0(0.0(0.0(0.0(3.0(x1)))))))))
   5^1.1(4.0(2.0(5.0(5.0(2.0(3.1(x1))))))) -> 4^1.0(3.1(4.0(2.0(3.0(0.0(0.0(0.0(3.1(x1)))))))))
   5^1.1(4.0(2.0(5.0(5.0(2.0(3.0(x1))))))) -> 3^1.1(4.0(2.0(3.0(0.0(0.0(0.0(3.0(x1))))))))
   5^1.1(4.0(2.0(5.0(5.0(2.0(3.1(x1))))))) -> 3^1.1(4.0(2.0(3.0(0.0(0.0(0.0(3.1(x1))))))))
   5^1.1(4.0(2.0(5.0(5.0(2.0(3.0(x1))))))) -> 4^1.0(2.0(3.0(0.0(0.0(0.0(3.0(x1)))))))
   5^1.1(4.0(2.0(5.0(5.0(2.0(3.1(x1))))))) -> 4^1.0(2.0(3.0(0.0(0.0(0.0(3.1(x1)))))))
   5^1.1(4.0(2.0(5.0(5.0(2.0(3.0(x1))))))) -> 2^1.0(3.0(0.0(0.0(0.0(3.0(x1))))))
   5^1.1(4.0(2.0(5.0(5.0(2.0(3.1(x1))))))) -> 2^1.0(3.0(0.0(0.0(0.0(3.1(x1))))))
   5^1.1(4.0(2.0(5.0(5.0(2.0(3.0(x1))))))) -> 3^1.0(0.0(0.0(0.0(3.0(x1)))))
   5^1.1(4.0(2.0(5.0(5.0(2.0(3.1(x1))))))) -> 3^1.0(0.0(0.0(0.0(3.1(x1)))))
   5^1.1(4.0(2.0(5.0(5.0(2.0(3.0(x1))))))) -> 0^1.0(0.0(0.0(3.0(x1))))
   5^1.1(4.0(2.0(5.0(5.0(2.0(3.1(x1))))))) -> 0^1.0(0.0(0.0(3.1(x1))))
   5^1.1(4.0(2.0(5.0(5.0(2.0(3.0(x1))))))) -> 0^1.0(0.0(3.0(x1)))
   5^1.1(4.0(2.0(5.0(5.0(2.0(3.1(x1))))))) -> 0^1.0(0.0(3.1(x1)))
   5^1.1(4.0(2.0(5.0(5.0(2.0(3.0(x1))))))) -> 0^1.0(3.0(x1))
   5^1.1(4.0(2.0(5.0(5.0(2.0(3.1(x1))))))) -> 0^1.0(3.1(x1))
   2^1.0(1.0(0.0(0.0(x1)))) -> 4^1.1(4.0(5.1(4.0(3.0(x1)))))
   4^1.0(1.0(0.0(0.0(0.1(4.0(x1)))))) -> 4^1.0(1.0(3.0(1.1(4.0(3.0(3.0(0.0(3.0(2.0(x1))))))))))
   4^1.0(1.0(0.0(0.0(0.1(4.1(x1)))))) -> 4^1.0(1.0(3.0(1.1(4.0(3.0(3.0(0.0(3.0(2.1(x1))))))))))
   2^1.0(1.0(0.0(0.1(x1)))) -> 4^1.1(4.0(5.1(4.0(3.1(x1)))))
   4^1.0(1.0(0.0(0.0(0.1(4.0(x1)))))) -> 1^1.0(3.0(1.1(4.0(3.0(3.0(0.0(3.0(2.0(x1)))))))))
   4^1.0(1.0(0.0(0.0(0.1(4.1(x1)))))) -> 1^1.0(3.0(1.1(4.0(3.0(3.0(0.0(3.0(2.1(x1)))))))))
   4^1.0(1.0(0.0(0.0(0.1(4.0(x1)))))) -> 3^1.0(1.1(4.0(3.0(3.0(0.0(3.0(2.0(x1))))))))
   4^1.0(1.0(0.0(0.0(0.1(4.1(x1)))))) -> 3^1.0(1.1(4.0(3.0(3.0(0.0(3.0(2.1(x1))))))))
   4^1.0(1.0(0.0(0.0(0.1(4.0(x1)))))) -> 1^1.1(4.0(3.0(3.0(0.0(3.0(2.0(x1)))))))
   4^1.0(1.0(0.0(0.0(0.1(4.1(x1)))))) -> 1^1.1(4.0(3.0(3.0(0.0(3.0(2.1(x1)))))))
   4^1.0(1.0(0.0(0.0(0.1(4.0(x1)))))) -> 4^1.0(3.0(3.0(0.0(3.0(2.0(x1))))))
   4^1.0(1.0(0.0(0.0(0.1(4.1(x1)))))) -> 4^1.0(3.0(3.0(0.0(3.0(2.1(x1))))))
   4^1.0(1.0(0.0(0.0(0.1(4.0(x1)))))) -> 3^1.0(3.0(0.0(3.0(2.0(x1)))))
   4^1.0(1.0(0.0(0.0(0.1(4.1(x1)))))) -> 3^1.0(3.0(0.0(3.0(2.1(x1)))))
   4^1.0(1.0(0.0(0.0(0.1(4.0(x1)))))) -> 3^1.0(0.0(3.0(2.0(x1))))
   4^1.0(1.0(0.0(0.0(0.1(4.1(x1)))))) -> 3^1.0(0.0(3.0(2.1(x1))))
   4^1.0(1.0(0.0(0.0(0.1(4.0(x1)))))) -> 0^1.0(3.0(2.0(x1)))
   4^1.0(1.0(0.0(0.0(0.1(4.1(x1)))))) -> 0^1.0(3.0(2.1(x1)))
   4^1.0(1.0(0.0(0.0(0.1(4.0(x1)))))) -> 3^1.0(2.0(x1))
   4^1.0(1.0(0.0(0.0(0.1(4.1(x1)))))) -> 3^1.0(2.1(x1))
   4^1.0(1.0(0.0(0.0(0.1(4.0(x1)))))) -> 2^1.0(x1)
   4^1.0(1.0(0.0(0.0(0.1(4.1(x1)))))) -> 2^1.1(x1)
   4^1.0(2.0(3.0(1.0(0.1(4.0(x1)))))) -> 4^1.0(1.1(4.0(1.0(3.0(3.0(1.1(4.0(1.1(4.0(x1))))))))))
   4^1.0(2.0(3.0(1.0(0.1(4.1(x1)))))) -> 4^1.0(1.1(4.0(1.0(3.0(3.0(1.1(4.0(1.1(4.1(x1))))))))))
   4^1.0(2.0(3.0(1.0(0.1(4.0(x1)))))) -> 1^1.1(4.0(1.0(3.0(3.0(1.1(4.0(1.1(4.0(x1)))))))))
   4^1.0(2.0(3.0(1.0(0.1(4.1(x1)))))) -> 1^1.1(4.0(1.0(3.0(3.0(1.1(4.0(1.1(4.1(x1)))))))))
   4^1.0(2.0(3.0(1.0(0.1(4.0(x1)))))) -> 4^1.0(1.0(3.0(3.0(1.1(4.0(1.1(4.0(x1))))))))
   4^1.0(2.0(3.0(1.0(0.1(4.1(x1)))))) -> 4^1.0(1.0(3.0(3.0(1.1(4.0(1.1(4.1(x1))))))))
   4^1.0(2.0(3.0(1.0(0.1(4.0(x1)))))) -> 1^1.0(3.0(3.0(1.1(4.0(1.1(4.0(x1)))))))
   4^1.0(2.0(3.0(1.0(0.1(4.1(x1)))))) -> 1^1.0(3.0(3.0(1.1(4.0(1.1(4.1(x1)))))))
   4^1.0(2.0(3.0(1.0(0.1(4.0(x1)))))) -> 3^1.0(3.0(1.1(4.0(1.1(4.0(x1))))))
   4^1.0(2.0(3.0(1.0(0.1(4.1(x1)))))) -> 3^1.0(3.0(1.1(4.0(1.1(4.1(x1))))))
   4^1.0(2.0(3.0(1.0(0.1(4.0(x1)))))) -> 3^1.0(1.1(4.0(1.1(4.0(x1)))))
   4^1.0(2.0(3.0(1.0(0.1(4.1(x1)))))) -> 3^1.0(1.1(4.0(1.1(4.1(x1)))))
   4^1.0(2.0(3.0(1.0(0.1(4.0(x1)))))) -> 1^1.1(4.0(1.1(4.0(x1))))
   4^1.0(2.0(3.0(1.0(0.1(4.1(x1)))))) -> 1^1.1(4.0(1.1(4.1(x1))))
   4^1.0(2.0(3.0(1.0(0.1(4.0(x1)))))) -> 4^1.0(1.1(4.0(x1)))
   4^1.0(2.0(3.0(1.0(0.1(4.1(x1)))))) -> 4^1.0(1.1(4.1(x1)))
   4^1.0(2.0(3.0(1.0(0.1(4.0(x1)))))) -> 1^1.1(4.0(x1))
   4^1.0(2.0(3.0(1.0(0.1(4.1(x1)))))) -> 1^1.1(4.1(x1))
   4^1.1(4.0(5.0(0.0(3.1(4.0(x1)))))) -> 4^1.0(2.1(4.1(4.0(1.0(3.0(5.1(4.0(3.1(4.0(x1))))))))))
   4^1.1(4.0(5.0(0.0(3.1(4.1(x1)))))) -> 4^1.0(2.1(4.1(4.0(1.0(3.0(5.1(4.0(3.1(4.1(x1))))))))))
   4^1.1(4.0(5.0(0.0(3.1(4.0(x1)))))) -> 2^1.1(4.1(4.0(1.0(3.0(5.1(4.0(3.1(4.0(x1)))))))))
   4^1.1(4.0(5.0(0.0(3.1(4.1(x1)))))) -> 2^1.1(4.1(4.0(1.0(3.0(5.1(4.0(3.1(4.1(x1)))))))))
   4^1.1(4.0(5.0(0.0(3.1(4.0(x1)))))) -> 4^1.1(4.0(1.0(3.0(5.1(4.0(3.1(4.0(x1))))))))
   4^1.1(4.0(5.0(0.0(3.1(4.1(x1)))))) -> 4^1.1(4.0(1.0(3.0(5.1(4.0(3.1(4.1(x1))))))))
   4^1.1(4.0(5.0(0.0(3.1(4.0(x1)))))) -> 4^1.0(1.0(3.0(5.1(4.0(3.1(4.0(x1)))))))
   4^1.1(4.0(5.0(0.0(3.1(4.1(x1)))))) -> 4^1.0(1.0(3.0(5.1(4.0(3.1(4.1(x1)))))))
   4^1.1(4.0(5.0(0.0(3.1(4.0(x1)))))) -> 1^1.0(3.0(5.1(4.0(3.1(4.0(x1))))))
   4^1.1(4.0(5.0(0.0(3.1(4.1(x1)))))) -> 1^1.0(3.0(5.1(4.0(3.1(4.1(x1))))))
   4^1.1(4.0(5.0(0.0(3.1(4.0(x1)))))) -> 3^1.0(5.1(4.0(3.1(4.0(x1)))))
   4^1.1(4.0(5.0(0.0(3.1(4.1(x1)))))) -> 3^1.0(5.1(4.0(3.1(4.1(x1)))))
   4^1.1(4.0(5.0(0.0(3.1(4.0(x1)))))) -> 5^1.1(4.0(3.1(4.0(x1))))
   4^1.1(4.0(5.0(0.0(3.1(4.1(x1)))))) -> 5^1.1(4.0(3.1(4.1(x1))))
   4^1.1(4.0(5.0(0.0(3.1(4.0(x1)))))) -> 4^1.0(3.1(4.0(x1)))
   4^1.1(4.0(5.0(0.0(3.1(4.1(x1)))))) -> 4^1.0(3.1(4.1(x1)))
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.0(x1))))))) -> 4^1.0(1.0(3.0(3.1(4.0(5.0(3.0(1.0(5.0(0.0(x1))))))))))
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.1(x1))))))) -> 4^1.0(1.0(3.0(3.1(4.0(5.0(3.0(1.0(5.0(0.1(x1))))))))))
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.0(x1))))))) -> 1^1.0(3.0(3.1(4.0(5.0(3.0(1.0(5.0(0.0(x1)))))))))
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.1(x1))))))) -> 1^1.0(3.0(3.1(4.0(5.0(3.0(1.0(5.0(0.1(x1)))))))))
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.0(x1))))))) -> 3^1.0(3.1(4.0(5.0(3.0(1.0(5.0(0.0(x1))))))))
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.1(x1))))))) -> 3^1.0(3.1(4.0(5.0(3.0(1.0(5.0(0.1(x1))))))))
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.0(x1))))))) -> 3^1.1(4.0(5.0(3.0(1.0(5.0(0.0(x1)))))))
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.1(x1))))))) -> 3^1.1(4.0(5.0(3.0(1.0(5.0(0.1(x1)))))))
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.0(x1))))))) -> 4^1.0(5.0(3.0(1.0(5.0(0.0(x1))))))
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.1(x1))))))) -> 4^1.0(5.0(3.0(1.0(5.0(0.1(x1))))))
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.0(x1))))))) -> 5^1.0(3.0(1.0(5.0(0.0(x1)))))
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.1(x1))))))) -> 5^1.0(3.0(1.0(5.0(0.1(x1)))))
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.0(x1))))))) -> 3^1.0(1.0(5.0(0.0(x1))))
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.1(x1))))))) -> 3^1.0(1.0(5.0(0.1(x1))))
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.0(x1))))))) -> 1^1.0(5.0(0.0(x1)))
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.1(x1))))))) -> 1^1.0(5.0(0.1(x1)))
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.0(x1))))))) -> 5^1.0(0.0(x1))
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.1(x1))))))) -> 5^1.0(0.1(x1))
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.0(x1))))))) -> 0^1.0(x1)
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.1(x1))))))) -> 0^1.1(x1)
   4^1.0(2.0(2.0(0.0(0.0(2.0(2.0(x1))))))) -> 4^1.1(4.1(4.1(4.0(5.1(4.1(4.0(1.0(1.0(2.0(x1))))))))))
   4^1.0(2.0(2.0(0.0(0.0(2.0(2.1(x1))))))) -> 4^1.1(4.1(4.1(4.0(5.1(4.1(4.0(1.0(1.0(2.1(x1))))))))))
   4^1.0(2.0(2.0(0.0(0.0(2.0(2.0(x1))))))) -> 4^1.1(4.1(4.0(5.1(4.1(4.0(1.0(1.0(2.0(x1)))))))))
   4^1.0(2.0(2.0(0.0(0.0(2.0(2.1(x1))))))) -> 4^1.1(4.1(4.0(5.1(4.1(4.0(1.0(1.0(2.1(x1)))))))))
   4^1.0(2.0(2.0(0.0(0.0(2.0(2.0(x1))))))) -> 4^1.1(4.0(5.1(4.1(4.0(1.0(1.0(2.0(x1))))))))
   4^1.0(2.0(2.0(0.0(0.0(2.0(2.1(x1))))))) -> 4^1.1(4.0(5.1(4.1(4.0(1.0(1.0(2.1(x1))))))))
   4^1.0(2.0(2.0(0.0(0.0(2.0(2.0(x1))))))) -> 4^1.0(5.1(4.1(4.0(1.0(1.0(2.0(x1)))))))
   4^1.0(2.0(2.0(0.0(0.0(2.0(2.1(x1))))))) -> 4^1.0(5.1(4.1(4.0(1.0(1.0(2.1(x1)))))))
   4^1.0(2.0(2.0(0.0(0.0(2.0(2.0(x1))))))) -> 5^1.1(4.1(4.0(1.0(1.0(2.0(x1))))))
   4^1.0(2.0(2.0(0.0(0.0(2.0(2.1(x1))))))) -> 5^1.1(4.1(4.0(1.0(1.0(2.1(x1))))))
   4^1.0(2.0(2.0(0.0(0.0(2.0(2.0(x1))))))) -> 4^1.1(4.0(1.0(1.0(2.0(x1)))))
   4^1.0(2.0(2.0(0.0(0.0(2.0(2.1(x1))))))) -> 4^1.1(4.0(1.0(1.0(2.1(x1)))))
   4^1.0(2.0(2.0(0.0(0.0(2.0(2.0(x1))))))) -> 4^1.0(1.0(1.0(2.0(x1))))
   4^1.0(2.0(2.0(0.0(0.0(2.0(2.1(x1))))))) -> 4^1.0(1.0(1.0(2.1(x1))))
   4^1.0(2.0(2.0(0.0(0.0(2.0(2.0(x1))))))) -> 1^1.0(1.0(2.0(x1)))
   4^1.0(2.0(2.0(0.0(0.0(2.0(2.1(x1))))))) -> 1^1.0(1.0(2.1(x1)))
   4^1.0(2.0(2.0(0.0(0.0(2.0(2.0(x1))))))) -> 1^1.0(2.0(x1))
   4^1.0(2.0(2.0(0.0(0.0(2.0(2.1(x1))))))) -> 1^1.0(2.1(x1))
   4^1.0(2.0(5.0(2.0(2.0(5.0(2.0(x1))))))) -> 4^1.1(4.0(0.1(4.0(0.0(3.0(1.1(4.0(3.1(4.0(x1))))))))))
   4^1.0(2.0(5.0(2.0(2.0(5.0(2.1(x1))))))) -> 4^1.1(4.0(0.1(4.0(0.0(3.0(1.1(4.0(3.1(4.1(x1))))))))))
   4^1.0(2.0(5.0(2.0(2.0(5.0(2.0(x1))))))) -> 4^1.0(0.1(4.0(0.0(3.0(1.1(4.0(3.1(4.0(x1)))))))))
   4^1.0(2.0(5.0(2.0(2.0(5.0(2.1(x1))))))) -> 4^1.0(0.1(4.0(0.0(3.0(1.1(4.0(3.1(4.1(x1)))))))))
   4^1.0(2.0(5.0(2.0(2.0(5.0(2.0(x1))))))) -> 0^1.1(4.0(0.0(3.0(1.1(4.0(3.1(4.0(x1))))))))
   4^1.0(2.0(5.0(2.0(2.0(5.0(2.1(x1))))))) -> 0^1.1(4.0(0.0(3.0(1.1(4.0(3.1(4.1(x1))))))))
   4^1.0(2.0(5.0(2.0(2.0(5.0(2.0(x1))))))) -> 4^1.0(0.0(3.0(1.1(4.0(3.1(4.0(x1)))))))
   4^1.0(2.0(5.0(2.0(2.0(5.0(2.1(x1))))))) -> 4^1.0(0.0(3.0(1.1(4.0(3.1(4.1(x1)))))))
   4^1.0(2.0(5.0(2.0(2.0(5.0(2.0(x1))))))) -> 0^1.0(3.0(1.1(4.0(3.1(4.0(x1))))))
   4^1.0(2.0(5.0(2.0(2.0(5.0(2.1(x1))))))) -> 0^1.0(3.0(1.1(4.0(3.1(4.1(x1))))))
   4^1.0(2.0(5.0(2.0(2.0(5.0(2.0(x1))))))) -> 3^1.0(1.1(4.0(3.1(4.0(x1)))))
   4^1.0(2.0(5.0(2.0(2.0(5.0(2.1(x1))))))) -> 3^1.0(1.1(4.0(3.1(4.1(x1)))))
   4^1.0(2.0(5.0(2.0(2.0(5.0(2.0(x1))))))) -> 1^1.1(4.0(3.1(4.0(x1))))
   4^1.0(2.0(5.0(2.0(2.0(5.0(2.1(x1))))))) -> 1^1.1(4.0(3.1(4.1(x1))))
   4^1.0(2.0(5.0(2.0(2.0(5.0(2.0(x1))))))) -> 4^1.0(3.1(4.0(x1)))
   4^1.0(2.0(5.0(2.0(2.0(5.0(2.1(x1))))))) -> 4^1.0(3.1(4.1(x1)))
   4^1.0(2.0(5.0(2.0(2.0(5.0(2.0(x1))))))) -> 3^1.1(4.0(x1))
   4^1.0(2.0(5.0(2.0(2.0(5.0(2.1(x1))))))) -> 3^1.1(4.1(x1))
   4^1.0(2.0(5.0(2.0(2.0(5.0(2.0(x1))))))) -> 4^1.0(x1)
   4^1.0(2.0(5.0(2.0(2.0(5.0(2.1(x1))))))) -> 4^1.1(x1)
   4^1.0(5.0(1.0(3.0(3.0(0.1(4.0(x1))))))) -> 4^1.1(4.1(4.0(3.0(0.0(0.0(0.0(1.0(3.0(1.0(x1))))))))))
   4^1.0(5.0(1.0(3.0(3.0(0.1(4.1(x1))))))) -> 4^1.1(4.1(4.0(3.0(0.0(0.0(0.0(1.0(3.0(1.1(x1))))))))))
   4^1.0(5.0(1.0(3.0(3.0(0.1(4.0(x1))))))) -> 4^1.1(4.0(3.0(0.0(0.0(0.0(1.0(3.0(1.0(x1)))))))))
   4^1.0(5.0(1.0(3.0(3.0(0.1(4.1(x1))))))) -> 4^1.1(4.0(3.0(0.0(0.0(0.0(1.0(3.0(1.1(x1)))))))))
   4^1.0(5.0(1.0(3.0(3.0(0.1(4.0(x1))))))) -> 4^1.0(3.0(0.0(0.0(0.0(1.0(3.0(1.0(x1))))))))
   4^1.0(5.0(1.0(3.0(3.0(0.1(4.1(x1))))))) -> 4^1.0(3.0(0.0(0.0(0.0(1.0(3.0(1.1(x1))))))))
   4^1.0(5.0(1.0(3.0(3.0(0.1(4.0(x1))))))) -> 3^1.0(0.0(0.0(0.0(1.0(3.0(1.0(x1)))))))
   4^1.0(5.0(1.0(3.0(3.0(0.1(4.1(x1))))))) -> 3^1.0(0.0(0.0(0.0(1.0(3.0(1.1(x1)))))))
   4^1.0(5.0(1.0(3.0(3.0(0.1(4.0(x1))))))) -> 0^1.0(0.0(0.0(1.0(3.0(1.0(x1))))))
   4^1.0(5.0(1.0(3.0(3.0(0.1(4.1(x1))))))) -> 0^1.0(0.0(0.0(1.0(3.0(1.1(x1))))))
   4^1.0(5.0(1.0(3.0(3.0(0.1(4.0(x1))))))) -> 0^1.0(0.0(1.0(3.0(1.0(x1)))))
   4^1.0(5.0(1.0(3.0(3.0(0.1(4.1(x1))))))) -> 0^1.0(0.0(1.0(3.0(1.1(x1)))))
   4^1.0(5.0(1.0(3.0(3.0(0.1(4.0(x1))))))) -> 0^1.0(1.0(3.0(1.0(x1))))
   4^1.0(5.0(1.0(3.0(3.0(0.1(4.1(x1))))))) -> 0^1.0(1.0(3.0(1.1(x1))))
   4^1.0(5.0(1.0(3.0(3.0(0.1(4.0(x1))))))) -> 1^1.0(3.0(1.0(x1)))
   4^1.0(5.0(1.0(3.0(3.0(0.1(4.1(x1))))))) -> 1^1.0(3.0(1.1(x1)))
   4^1.0(5.0(1.0(3.0(3.0(0.1(4.0(x1))))))) -> 3^1.0(1.0(x1))
   4^1.0(5.0(1.0(3.0(3.0(0.1(4.1(x1))))))) -> 3^1.0(1.1(x1))
   4^1.0(5.0(1.0(3.0(3.0(0.1(4.0(x1))))))) -> 1^1.0(x1)
   4^1.0(5.0(1.0(3.0(3.0(0.1(4.1(x1))))))) -> 1^1.1(x1)
   2^1.0(1.0(0.0(0.0(x1)))) -> 4^1.0(5.1(4.0(3.0(x1))))
   2^1.0(1.0(0.0(0.1(x1)))) -> 4^1.0(5.1(4.0(3.1(x1))))
   2^1.0(1.0(0.0(0.0(x1)))) -> 5^1.1(4.0(3.0(x1)))
   2^1.0(1.0(0.0(0.1(x1)))) -> 5^1.1(4.0(3.1(x1)))
   2^1.0(1.0(0.0(0.0(x1)))) -> 4^1.0(3.0(x1))
   2^1.0(1.0(0.0(0.1(x1)))) -> 4^1.0(3.1(x1))
   2^1.0(1.0(0.0(0.0(x1)))) -> 3^1.0(x1)
   2^1.0(1.0(0.0(0.1(x1)))) -> 3^1.1(x1)
   2^1.0(2.0(2.0(3.0(x1)))) -> 3^1.0(5.0(3.0(1.1(4.1(4.1(4.0(2.0(3.0(0.0(x1))))))))))
   2^1.0(2.0(2.0(3.1(x1)))) -> 3^1.0(5.0(3.0(1.1(4.1(4.1(4.0(2.0(3.0(0.1(x1))))))))))
   2^1.0(2.0(2.0(3.0(x1)))) -> 5^1.0(3.0(1.1(4.1(4.1(4.0(2.0(3.0(0.0(x1)))))))))
   2^1.0(2.0(2.0(3.1(x1)))) -> 5^1.0(3.0(1.1(4.1(4.1(4.0(2.0(3.0(0.1(x1)))))))))
   2^1.0(2.0(2.0(3.0(x1)))) -> 3^1.0(1.1(4.1(4.1(4.0(2.0(3.0(0.0(x1))))))))
   2^1.0(2.0(2.0(3.1(x1)))) -> 3^1.0(1.1(4.1(4.1(4.0(2.0(3.0(0.1(x1))))))))
   2^1.0(2.0(2.0(3.0(x1)))) -> 1^1.1(4.1(4.1(4.0(2.0(3.0(0.0(x1)))))))
   1^1.0(5.0(0.1(4.0(1.0(x1))))) -> 0^1.0(3.0(3.0(3.1(4.0(5.1(4.1(4.1(4.0(5.0(x1))))))))))
   1^1.0(5.0(0.1(4.0(1.1(x1))))) -> 0^1.0(3.0(3.0(3.1(4.0(5.1(4.1(4.1(4.0(5.1(x1))))))))))
   2^1.0(2.0(2.0(3.1(x1)))) -> 1^1.1(4.1(4.1(4.0(2.0(3.0(0.1(x1)))))))
   1^1.0(5.0(0.1(4.0(1.0(x1))))) -> 3^1.0(3.0(3.1(4.0(5.1(4.1(4.1(4.0(5.0(x1)))))))))
   1^1.0(5.0(0.1(4.0(1.1(x1))))) -> 3^1.0(3.0(3.1(4.0(5.1(4.1(4.1(4.0(5.1(x1)))))))))
   1^1.0(5.0(0.1(4.0(1.0(x1))))) -> 3^1.0(3.1(4.0(5.1(4.1(4.1(4.0(5.0(x1))))))))
   1^1.0(5.0(0.1(4.0(1.1(x1))))) -> 3^1.0(3.1(4.0(5.1(4.1(4.1(4.0(5.1(x1))))))))
   1^1.0(5.0(0.1(4.0(1.0(x1))))) -> 3^1.1(4.0(5.1(4.1(4.1(4.0(5.0(x1)))))))
   1^1.0(5.0(0.1(4.0(1.1(x1))))) -> 3^1.1(4.0(5.1(4.1(4.1(4.0(5.1(x1)))))))
   1^1.0(5.0(0.1(4.0(1.0(x1))))) -> 4^1.0(5.1(4.1(4.1(4.0(5.0(x1))))))
   1^1.0(5.0(0.1(4.0(1.1(x1))))) -> 4^1.0(5.1(4.1(4.1(4.0(5.1(x1))))))
   1^1.0(5.0(0.1(4.0(1.0(x1))))) -> 5^1.1(4.1(4.1(4.0(5.0(x1)))))
   1^1.0(5.0(0.1(4.0(1.1(x1))))) -> 5^1.1(4.1(4.1(4.0(5.1(x1)))))
   1^1.0(5.0(0.1(4.0(1.0(x1))))) -> 4^1.1(4.1(4.0(5.0(x1))))
   1^1.0(5.0(0.1(4.0(1.1(x1))))) -> 4^1.1(4.1(4.0(5.1(x1))))
   1^1.0(5.0(0.1(4.0(1.0(x1))))) -> 4^1.1(4.0(5.0(x1)))
   1^1.0(5.0(0.1(4.0(1.1(x1))))) -> 4^1.1(4.0(5.1(x1)))
   1^1.0(5.0(0.1(4.0(1.0(x1))))) -> 4^1.0(5.0(x1))
   1^1.0(5.0(0.1(4.0(1.1(x1))))) -> 4^1.0(5.1(x1))
   1^1.0(5.0(0.1(4.0(1.0(x1))))) -> 5^1.0(x1)
   1^1.0(5.0(0.1(4.0(1.1(x1))))) -> 5^1.1(x1)
   1^1.0(5.0(3.0(1.0(0.0(2.0(x1)))))) -> 1^1.0(0.0(3.0(5.1(4.0(5.1(4.0(3.0(0.0(0.0(x1))))))))))
   1^1.0(5.0(3.0(1.0(0.0(2.1(x1)))))) -> 1^1.0(0.0(3.0(5.1(4.0(5.1(4.0(3.0(0.0(0.1(x1))))))))))
   1^1.0(5.0(3.0(1.0(0.0(2.0(x1)))))) -> 0^1.0(3.0(5.1(4.0(5.1(4.0(3.0(0.0(0.0(x1)))))))))
   1^1.0(5.0(3.0(1.0(0.0(2.1(x1)))))) -> 0^1.0(3.0(5.1(4.0(5.1(4.0(3.0(0.0(0.1(x1)))))))))
   1^1.0(5.0(3.0(1.0(0.0(2.0(x1)))))) -> 3^1.0(5.1(4.0(5.1(4.0(3.0(0.0(0.0(x1))))))))
   1^1.0(5.0(3.0(1.0(0.0(2.1(x1)))))) -> 3^1.0(5.1(4.0(5.1(4.0(3.0(0.0(0.1(x1))))))))
   1^1.0(5.0(3.0(1.0(0.0(2.0(x1)))))) -> 5^1.1(4.0(5.1(4.0(3.0(0.0(0.0(x1)))))))
   1^1.0(5.0(3.0(1.0(0.0(2.1(x1)))))) -> 5^1.1(4.0(5.1(4.0(3.0(0.0(0.1(x1)))))))
   1^1.0(5.0(3.0(1.0(0.0(2.0(x1)))))) -> 4^1.0(5.1(4.0(3.0(0.0(0.0(x1))))))
   1^1.0(5.0(3.0(1.0(0.0(2.1(x1)))))) -> 4^1.0(5.1(4.0(3.0(0.0(0.1(x1))))))
   1^1.0(5.0(3.0(1.0(0.0(2.0(x1)))))) -> 5^1.1(4.0(3.0(0.0(0.0(x1)))))
   1^1.0(5.0(3.0(1.0(0.0(2.1(x1)))))) -> 5^1.1(4.0(3.0(0.0(0.1(x1)))))
   1^1.0(5.0(3.0(1.0(0.0(2.0(x1)))))) -> 4^1.0(3.0(0.0(0.0(x1))))
   1^1.0(5.0(3.0(1.0(0.0(2.1(x1)))))) -> 4^1.0(3.0(0.0(0.1(x1))))
   1^1.0(5.0(3.0(1.0(0.0(2.0(x1)))))) -> 3^1.0(0.0(0.0(x1)))
   1^1.0(5.0(3.0(1.0(0.0(2.1(x1)))))) -> 3^1.0(0.0(0.1(x1)))
   1^1.0(5.0(3.0(1.0(0.0(2.0(x1)))))) -> 0^1.0(0.0(x1))
   1^1.0(5.0(3.0(1.0(0.0(2.1(x1)))))) -> 0^1.0(0.1(x1))
   1^1.0(5.0(3.0(1.0(0.0(2.0(x1)))))) -> 0^1.0(x1)
   1^1.0(5.0(3.0(1.0(0.0(2.1(x1)))))) -> 0^1.1(x1)
   1^1.0(0.0(0.0(5.0(5.0(2.0(x1)))))) -> 0^1.0(3.0(5.0(1.0(3.1(4.0(3.0(0.0(1.1(4.0(x1))))))))))
   1^1.0(0.0(0.0(5.0(5.0(2.1(x1)))))) -> 0^1.0(3.0(5.0(1.0(3.1(4.0(3.0(0.0(1.1(4.1(x1))))))))))
   1^1.0(0.0(0.0(5.0(5.0(2.0(x1)))))) -> 3^1.0(5.0(1.0(3.1(4.0(3.0(0.0(1.1(4.0(x1)))))))))
   1^1.0(0.0(0.0(5.0(5.0(2.1(x1)))))) -> 3^1.0(5.0(1.0(3.1(4.0(3.0(0.0(1.1(4.1(x1)))))))))
   1^1.0(0.0(0.0(5.0(5.0(2.0(x1)))))) -> 5^1.0(1.0(3.1(4.0(3.0(0.0(1.1(4.0(x1))))))))
   1^1.0(0.0(0.0(5.0(5.0(2.1(x1)))))) -> 5^1.0(1.0(3.1(4.0(3.0(0.0(1.1(4.1(x1))))))))
   1^1.0(0.0(0.0(5.0(5.0(2.0(x1)))))) -> 1^1.0(3.1(4.0(3.0(0.0(1.1(4.0(x1)))))))
   1^1.0(0.0(0.0(5.0(5.0(2.1(x1)))))) -> 1^1.0(3.1(4.0(3.0(0.0(1.1(4.1(x1)))))))
   1^1.0(0.0(0.0(5.0(5.0(2.0(x1)))))) -> 3^1.1(4.0(3.0(0.0(1.1(4.0(x1))))))
   1^1.0(0.0(0.0(5.0(5.0(2.1(x1)))))) -> 3^1.1(4.0(3.0(0.0(1.1(4.1(x1))))))
   1^1.0(0.0(0.0(5.0(5.0(2.0(x1)))))) -> 4^1.0(3.0(0.0(1.1(4.0(x1)))))
   1^1.0(0.0(0.0(5.0(5.0(2.1(x1)))))) -> 4^1.0(3.0(0.0(1.1(4.1(x1)))))
   1^1.0(0.0(0.0(5.0(5.0(2.0(x1)))))) -> 3^1.0(0.0(1.1(4.0(x1))))
   1^1.0(0.0(0.0(5.0(5.0(2.1(x1)))))) -> 3^1.0(0.0(1.1(4.1(x1))))
   1^1.0(0.0(0.0(5.0(5.0(2.0(x1)))))) -> 0^1.0(1.1(4.0(x1)))
   1^1.0(0.0(0.0(5.0(5.0(2.1(x1)))))) -> 0^1.0(1.1(4.1(x1)))
   1^1.0(0.0(0.0(5.0(5.0(2.0(x1)))))) -> 1^1.1(4.0(x1))
   1^1.0(0.0(0.0(5.0(5.0(2.1(x1)))))) -> 1^1.1(4.1(x1))
   1^1.0(0.0(0.0(5.0(5.0(2.0(x1)))))) -> 4^1.0(x1)
   1^1.0(0.0(0.0(5.0(5.0(2.1(x1)))))) -> 4^1.1(x1)
   1^1.0(3.0(0.1(4.0(0.0(3.0(x1)))))) -> 1^1.0(3.0(0.0(1.0(0.0(3.0(5.1(4.1(4.1(4.0(x1))))))))))
   1^1.0(3.0(0.1(4.0(0.0(3.1(x1)))))) -> 1^1.0(3.0(0.0(1.0(0.0(3.0(5.1(4.1(4.1(4.1(x1))))))))))
   1^1.0(3.0(0.1(4.0(0.0(3.0(x1)))))) -> 3^1.0(0.0(1.0(0.0(3.0(5.1(4.1(4.1(4.0(x1)))))))))
   1^1.0(3.0(0.1(4.0(0.0(3.1(x1)))))) -> 3^1.0(0.0(1.0(0.0(3.0(5.1(4.1(4.1(4.1(x1)))))))))
   1^1.0(3.0(0.1(4.0(0.0(3.0(x1)))))) -> 0^1.0(1.0(0.0(3.0(5.1(4.1(4.1(4.0(x1))))))))
   1^1.0(3.0(0.1(4.0(0.0(3.1(x1)))))) -> 0^1.0(1.0(0.0(3.0(5.1(4.1(4.1(4.1(x1))))))))
   1^1.0(3.0(0.1(4.0(0.0(3.0(x1)))))) -> 1^1.0(0.0(3.0(5.1(4.1(4.1(4.0(x1)))))))
   1^1.0(3.0(0.1(4.0(0.0(3.1(x1)))))) -> 1^1.0(0.0(3.0(5.1(4.1(4.1(4.1(x1)))))))
   1^1.0(3.0(0.1(4.0(0.0(3.0(x1)))))) -> 0^1.0(3.0(5.1(4.1(4.1(4.0(x1))))))
   1^1.0(3.0(0.1(4.0(0.0(3.1(x1)))))) -> 0^1.0(3.0(5.1(4.1(4.1(4.1(x1))))))
   1^1.0(3.0(0.1(4.0(0.0(3.0(x1)))))) -> 3^1.0(5.1(4.1(4.1(4.0(x1)))))
   1^1.0(3.0(0.1(4.0(0.0(3.1(x1)))))) -> 3^1.0(5.1(4.1(4.1(4.1(x1)))))
   1^1.0(3.0(0.1(4.0(0.0(3.0(x1)))))) -> 5^1.1(4.1(4.1(4.0(x1))))
   1^1.0(3.0(0.1(4.0(0.0(3.1(x1)))))) -> 5^1.1(4.1(4.1(4.1(x1))))
   1^1.0(3.0(0.1(4.0(0.0(3.0(x1)))))) -> 4^1.1(4.1(4.0(x1)))
   1^1.0(3.0(0.1(4.0(0.0(3.1(x1)))))) -> 4^1.1(4.1(4.1(x1)))
   1^1.0(3.0(0.1(4.0(0.0(3.0(x1)))))) -> 4^1.1(4.0(x1))
   1^1.0(3.0(0.1(4.0(0.0(3.1(x1)))))) -> 4^1.1(4.1(x1))
   1^1.0(3.0(0.1(4.0(0.0(3.0(x1)))))) -> 4^1.0(x1)
   1^1.0(3.0(0.1(4.0(0.0(3.1(x1)))))) -> 4^1.1(x1)
   2^1.0(2.0(2.0(3.0(x1)))) -> 4^1.1(4.1(4.0(2.0(3.0(0.0(x1))))))
   2^1.0(2.0(2.0(3.1(x1)))) -> 4^1.1(4.1(4.0(2.0(3.0(0.1(x1))))))
   2^1.0(2.0(2.0(3.0(x1)))) -> 4^1.1(4.0(2.0(3.0(0.0(x1)))))
   2^1.0(2.0(2.0(3.1(x1)))) -> 4^1.1(4.0(2.0(3.0(0.1(x1)))))
   2^1.0(2.0(2.0(3.0(x1)))) -> 4^1.0(2.0(3.0(0.0(x1))))
   2^1.0(2.0(2.0(3.1(x1)))) -> 4^1.0(2.0(3.0(0.1(x1))))
   2^1.0(2.0(2.0(3.0(x1)))) -> 2^1.0(3.0(0.0(x1)))
   2^1.0(2.0(2.0(3.1(x1)))) -> 2^1.0(3.0(0.1(x1)))
   2^1.0(2.0(2.0(3.0(x1)))) -> 3^1.0(0.0(x1))
   2^1.0(2.0(2.0(3.1(x1)))) -> 3^1.0(0.1(x1))
   2^1.0(2.0(2.0(3.0(x1)))) -> 0^1.0(x1)
   2^1.0(2.0(2.0(3.1(x1)))) -> 0^1.1(x1)
   2^1.0(5.1(4.0(2.0(0.0(x1))))) -> 3^1.0(1.0(3.0(0.0(0.0(0.0(0.1(4.0(3.0(0.0(x1))))))))))
   2^1.0(5.1(4.0(2.0(0.1(x1))))) -> 3^1.0(1.0(3.0(0.0(0.0(0.0(0.1(4.0(3.0(0.1(x1))))))))))
   2^1.0(5.1(4.0(2.0(0.0(x1))))) -> 1^1.0(3.0(0.0(0.0(0.0(0.1(4.0(3.0(0.0(x1)))))))))
   2^1.0(5.1(4.0(2.0(0.1(x1))))) -> 1^1.0(3.0(0.0(0.0(0.0(0.1(4.0(3.0(0.1(x1)))))))))
   2^1.0(5.1(4.0(2.0(0.0(x1))))) -> 3^1.0(0.0(0.0(0.0(0.1(4.0(3.0(0.0(x1))))))))
   2^1.0(5.1(4.0(2.0(0.1(x1))))) -> 3^1.0(0.0(0.0(0.0(0.1(4.0(3.0(0.1(x1))))))))
   2^1.0(5.1(4.0(2.0(0.0(x1))))) -> 0^1.0(0.0(0.0(0.1(4.0(3.0(0.0(x1)))))))
   2^1.0(5.1(4.0(2.0(0.1(x1))))) -> 0^1.0(0.0(0.0(0.1(4.0(3.0(0.1(x1)))))))
   2^1.0(5.1(4.0(2.0(0.0(x1))))) -> 0^1.0(0.0(0.1(4.0(3.0(0.0(x1))))))
   2^1.0(5.1(4.0(2.0(0.1(x1))))) -> 0^1.0(0.0(0.1(4.0(3.0(0.1(x1))))))
   2^1.0(5.1(4.0(2.0(0.0(x1))))) -> 0^1.0(0.1(4.0(3.0(0.0(x1)))))
   2^1.0(5.1(4.0(2.0(0.1(x1))))) -> 0^1.0(0.1(4.0(3.0(0.1(x1)))))
   2^1.0(5.1(4.0(2.0(0.0(x1))))) -> 0^1.1(4.0(3.0(0.0(x1))))
   2^1.0(5.1(4.0(2.0(0.1(x1))))) -> 0^1.1(4.0(3.0(0.1(x1))))
   2^1.0(5.1(4.0(2.0(0.0(x1))))) -> 4^1.0(3.0(0.0(x1)))
   2^1.0(5.1(4.0(2.0(0.1(x1))))) -> 4^1.0(3.0(0.1(x1)))
   2^1.0(5.1(4.0(2.0(0.0(x1))))) -> 3^1.0(0.0(x1))
   2^1.0(5.1(4.0(2.0(0.1(x1))))) -> 3^1.0(0.1(x1))
   2^1.0(2.0(1.1(4.0(2.0(3.0(x1)))))) -> 2^1.1(4.0(3.0(0.0(2.1(4.0(5.1(4.1(4.1(4.0(x1))))))))))
   2^1.0(2.0(1.1(4.0(2.0(3.1(x1)))))) -> 2^1.1(4.0(3.0(0.0(2.1(4.0(5.1(4.1(4.1(4.1(x1))))))))))
   2^1.0(2.0(1.1(4.0(2.0(3.0(x1)))))) -> 4^1.0(3.0(0.0(2.1(4.0(5.1(4.1(4.1(4.0(x1)))))))))
   2^1.0(2.0(1.1(4.0(2.0(3.1(x1)))))) -> 4^1.0(3.0(0.0(2.1(4.0(5.1(4.1(4.1(4.1(x1)))))))))
   2^1.0(2.0(1.1(4.0(2.0(3.0(x1)))))) -> 3^1.0(0.0(2.1(4.0(5.1(4.1(4.1(4.0(x1))))))))
   2^1.0(2.0(1.1(4.0(2.0(3.1(x1)))))) -> 3^1.0(0.0(2.1(4.0(5.1(4.1(4.1(4.1(x1))))))))
   2^1.0(2.0(1.1(4.0(2.0(3.0(x1)))))) -> 0^1.0(2.1(4.0(5.1(4.1(4.1(4.0(x1)))))))
   2^1.0(2.0(1.1(4.0(2.0(3.1(x1)))))) -> 0^1.0(2.1(4.0(5.1(4.1(4.1(4.1(x1)))))))
   2^1.0(2.0(1.1(4.0(2.0(3.0(x1)))))) -> 2^1.1(4.0(5.1(4.1(4.1(4.0(x1))))))
   2^1.0(2.0(1.1(4.0(2.0(3.1(x1)))))) -> 2^1.1(4.0(5.1(4.1(4.1(4.1(x1))))))
   2^1.0(2.0(1.1(4.0(2.0(3.0(x1)))))) -> 4^1.0(5.1(4.1(4.1(4.0(x1)))))
   2^1.0(2.0(1.1(4.0(2.0(3.1(x1)))))) -> 4^1.0(5.1(4.1(4.1(4.1(x1)))))
   2^1.0(2.0(1.1(4.0(2.0(3.0(x1)))))) -> 5^1.1(4.1(4.1(4.0(x1))))
   2^1.0(2.0(1.1(4.0(2.0(3.1(x1)))))) -> 5^1.1(4.1(4.1(4.1(x1))))
   2^1.0(2.0(1.1(4.0(2.0(3.0(x1)))))) -> 4^1.1(4.1(4.0(x1)))
   2^1.0(2.0(1.1(4.0(2.0(3.1(x1)))))) -> 4^1.1(4.1(4.1(x1)))
   2^1.0(2.0(1.1(4.0(2.0(3.0(x1)))))) -> 4^1.1(4.0(x1))
   2^1.0(2.0(1.1(4.0(2.0(3.1(x1)))))) -> 4^1.1(4.1(x1))
   2^1.0(2.0(1.1(4.0(2.0(3.0(x1)))))) -> 4^1.0(x1)
   2^1.0(2.0(1.1(4.0(2.0(3.1(x1)))))) -> 4^1.1(x1)
   2^1.0(2.0(0.0(5.0(5.0(5.0(x1)))))) -> 3^1.1(4.1(4.0(3.1(4.0(3.1(4.0(1.1(4.0(2.0(x1))))))))))
   2^1.0(2.0(0.0(5.0(5.0(5.1(x1)))))) -> 3^1.1(4.1(4.0(3.1(4.0(3.1(4.0(1.1(4.0(2.1(x1))))))))))
   2^1.0(2.0(0.0(5.0(5.0(5.0(x1)))))) -> 4^1.1(4.0(3.1(4.0(3.1(4.0(1.1(4.0(2.0(x1)))))))))
   2^1.0(2.0(0.0(5.0(5.0(5.1(x1)))))) -> 4^1.1(4.0(3.1(4.0(3.1(4.0(1.1(4.0(2.1(x1)))))))))
   2^1.0(2.0(0.0(5.0(5.0(5.0(x1)))))) -> 4^1.0(3.1(4.0(3.1(4.0(1.1(4.0(2.0(x1))))))))
   2^1.0(2.0(0.0(5.0(5.0(5.1(x1)))))) -> 4^1.0(3.1(4.0(3.1(4.0(1.1(4.0(2.1(x1))))))))
   2^1.0(2.0(0.0(5.0(5.0(5.0(x1)))))) -> 3^1.1(4.0(3.1(4.0(1.1(4.0(2.0(x1)))))))
   2^1.0(2.0(0.0(5.0(5.0(5.1(x1)))))) -> 3^1.1(4.0(3.1(4.0(1.1(4.0(2.1(x1)))))))
   2^1.0(2.0(0.0(5.0(5.0(5.0(x1)))))) -> 4^1.0(3.1(4.0(1.1(4.0(2.0(x1))))))
   2^1.0(2.0(0.0(5.0(5.0(5.1(x1)))))) -> 4^1.0(3.1(4.0(1.1(4.0(2.1(x1))))))
   2^1.0(2.0(0.0(5.0(5.0(5.0(x1)))))) -> 3^1.1(4.0(1.1(4.0(2.0(x1)))))
   2^1.0(2.0(0.0(5.0(5.0(5.1(x1)))))) -> 3^1.1(4.0(1.1(4.0(2.1(x1)))))
   2^1.0(2.0(0.0(5.0(5.0(5.0(x1)))))) -> 4^1.0(1.1(4.0(2.0(x1))))
   2^1.0(2.0(0.0(5.0(5.0(5.1(x1)))))) -> 4^1.0(1.1(4.0(2.1(x1))))
   2^1.0(2.0(0.0(5.0(5.0(5.0(x1)))))) -> 1^1.1(4.0(2.0(x1)))
   2^1.0(2.0(0.0(5.0(5.0(5.1(x1)))))) -> 1^1.1(4.0(2.1(x1)))
   2^1.0(2.0(0.0(5.0(5.0(5.0(x1)))))) -> 4^1.0(2.0(x1))
   2^1.0(2.0(0.0(5.0(5.0(5.1(x1)))))) -> 4^1.0(2.1(x1))
   2^1.0(2.0(0.0(5.0(5.0(5.0(x1)))))) -> 2^1.0(x1)
   2^1.0(2.0(0.0(5.0(5.0(5.1(x1)))))) -> 2^1.1(x1)
   2^1.0(2.0(5.1(4.0(3.1(4.0(0.0(x1))))))) -> 2^1.0(3.0(3.0(2.1(4.0(3.0(5.1(4.0(0.0(0.0(x1))))))))))
   2^1.0(2.0(5.1(4.0(3.1(4.0(0.1(x1))))))) -> 2^1.0(3.0(3.0(2.1(4.0(3.0(5.1(4.0(0.0(0.1(x1))))))))))
   2^1.0(2.0(5.1(4.0(3.1(4.0(0.0(x1))))))) -> 3^1.0(3.0(2.1(4.0(3.0(5.1(4.0(0.0(0.0(x1)))))))))
   2^1.0(2.0(5.1(4.0(3.1(4.0(0.1(x1))))))) -> 3^1.0(3.0(2.1(4.0(3.0(5.1(4.0(0.0(0.1(x1)))))))))
   2^1.0(2.0(5.1(4.0(3.1(4.0(0.0(x1))))))) -> 3^1.0(2.1(4.0(3.0(5.1(4.0(0.0(0.0(x1))))))))
   2^1.0(2.0(5.1(4.0(3.1(4.0(0.1(x1))))))) -> 3^1.0(2.1(4.0(3.0(5.1(4.0(0.0(0.1(x1))))))))
   2^1.0(2.0(5.1(4.0(3.1(4.0(0.0(x1))))))) -> 2^1.1(4.0(3.0(5.1(4.0(0.0(0.0(x1)))))))
   2^1.0(2.0(5.1(4.0(3.1(4.0(0.1(x1))))))) -> 2^1.1(4.0(3.0(5.1(4.0(0.0(0.1(x1)))))))
   2^1.0(2.0(5.1(4.0(3.1(4.0(0.0(x1))))))) -> 4^1.0(3.0(5.1(4.0(0.0(0.0(x1))))))
   2^1.0(2.0(5.1(4.0(3.1(4.0(0.1(x1))))))) -> 4^1.0(3.0(5.1(4.0(0.0(0.1(x1))))))
   2^1.0(2.0(5.1(4.0(3.1(4.0(0.0(x1))))))) -> 3^1.0(5.1(4.0(0.0(0.0(x1)))))
   2^1.0(2.0(5.1(4.0(3.1(4.0(0.1(x1))))))) -> 3^1.0(5.1(4.0(0.0(0.1(x1)))))
   2^1.0(2.0(5.1(4.0(3.1(4.0(0.0(x1))))))) -> 5^1.1(4.0(0.0(0.0(x1))))
   2^1.0(2.0(5.1(4.0(3.1(4.0(0.1(x1))))))) -> 5^1.1(4.0(0.0(0.1(x1))))
   2^1.0(2.0(5.1(4.0(3.1(4.0(0.0(x1))))))) -> 4^1.0(0.0(0.0(x1)))
   2^1.0(2.0(5.1(4.0(3.1(4.0(0.1(x1))))))) -> 4^1.0(0.0(0.1(x1)))
   2^1.0(2.0(5.1(4.0(3.1(4.0(0.0(x1))))))) -> 0^1.0(0.0(x1))
   2^1.0(2.0(5.1(4.0(3.1(4.0(0.1(x1))))))) -> 0^1.0(0.1(x1))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.0(x1))))))) -> 5^1.0(0.0(5.0(3.0(2.0(3.0(1.0(3.0(5.1(4.0(x1))))))))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.1(x1))))))) -> 5^1.0(0.0(5.0(3.0(2.0(3.0(1.0(3.0(5.1(4.1(x1))))))))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.0(x1))))))) -> 0^1.0(5.0(3.0(2.0(3.0(1.0(3.0(5.1(4.0(x1)))))))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.1(x1))))))) -> 0^1.0(5.0(3.0(2.0(3.0(1.0(3.0(5.1(4.1(x1)))))))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.0(x1))))))) -> 5^1.0(3.0(2.0(3.0(1.0(3.0(5.1(4.0(x1))))))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.1(x1))))))) -> 5^1.0(3.0(2.0(3.0(1.0(3.0(5.1(4.1(x1))))))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.0(x1))))))) -> 3^1.0(2.0(3.0(1.0(3.0(5.1(4.0(x1)))))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.1(x1))))))) -> 3^1.0(2.0(3.0(1.0(3.0(5.1(4.1(x1)))))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.0(x1))))))) -> 2^1.0(3.0(1.0(3.0(5.1(4.0(x1))))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.1(x1))))))) -> 2^1.0(3.0(1.0(3.0(5.1(4.1(x1))))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.0(x1))))))) -> 3^1.0(1.0(3.0(5.1(4.0(x1)))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.1(x1))))))) -> 3^1.0(1.0(3.0(5.1(4.1(x1)))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.0(x1))))))) -> 1^1.0(3.0(5.1(4.0(x1))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.1(x1))))))) -> 1^1.0(3.0(5.1(4.1(x1))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.0(x1))))))) -> 3^1.0(5.1(4.0(x1)))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.1(x1))))))) -> 3^1.0(5.1(4.1(x1)))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.0(x1))))))) -> 5^1.1(4.0(x1))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.1(x1))))))) -> 5^1.1(4.1(x1))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.0(x1))))))) -> 4^1.0(x1)
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.1(x1))))))) -> 4^1.1(x1)
   2^1.0(2.0(2.0(0.0(5.0(3.0(3.0(x1))))))) -> 5^1.0(3.0(5.0(3.0(3.1(4.0(0.0(3.1(4.1(4.0(x1))))))))))
   2^1.0(2.0(2.0(0.0(5.0(3.0(3.1(x1))))))) -> 5^1.0(3.0(5.0(3.0(3.1(4.0(0.0(3.1(4.1(4.1(x1))))))))))
   2^1.0(2.0(2.0(0.0(5.0(3.0(3.0(x1))))))) -> 3^1.0(5.0(3.0(3.1(4.0(0.0(3.1(4.1(4.0(x1)))))))))
   2^1.0(2.0(2.0(0.0(5.0(3.0(3.1(x1))))))) -> 3^1.0(5.0(3.0(3.1(4.0(0.0(3.1(4.1(4.1(x1)))))))))
   2^1.0(2.0(2.0(0.0(5.0(3.0(3.0(x1))))))) -> 5^1.0(3.0(3.1(4.0(0.0(3.1(4.1(4.0(x1))))))))
   2^1.0(2.0(2.0(0.0(5.0(3.0(3.1(x1))))))) -> 5^1.0(3.0(3.1(4.0(0.0(3.1(4.1(4.1(x1))))))))
   2^1.0(2.0(2.0(0.0(5.0(3.0(3.0(x1))))))) -> 3^1.0(3.1(4.0(0.0(3.1(4.1(4.0(x1)))))))
   2^1.0(2.0(2.0(0.0(5.0(3.0(3.1(x1))))))) -> 3^1.0(3.1(4.0(0.0(3.1(4.1(4.1(x1)))))))
   2^1.0(2.0(2.0(0.0(5.0(3.0(3.0(x1))))))) -> 3^1.1(4.0(0.0(3.1(4.1(4.0(x1))))))
   2^1.0(2.0(2.0(0.0(5.0(3.0(3.1(x1))))))) -> 3^1.1(4.0(0.0(3.1(4.1(4.1(x1))))))
   2^1.0(2.0(2.0(0.0(5.0(3.0(3.0(x1))))))) -> 4^1.0(0.0(3.1(4.1(4.0(x1)))))
   2^1.0(2.0(2.0(0.0(5.0(3.0(3.1(x1))))))) -> 4^1.0(0.0(3.1(4.1(4.1(x1)))))
   2^1.0(2.0(2.0(0.0(5.0(3.0(3.0(x1))))))) -> 0^1.0(3.1(4.1(4.0(x1))))
   2^1.0(2.0(2.0(0.0(5.0(3.0(3.1(x1))))))) -> 0^1.0(3.1(4.1(4.1(x1))))
   2^1.0(2.0(2.0(0.0(5.0(3.0(3.0(x1))))))) -> 3^1.1(4.1(4.0(x1)))
   2^1.0(2.0(2.0(0.0(5.0(3.0(3.1(x1))))))) -> 3^1.1(4.1(4.1(x1)))
   2^1.0(2.0(2.0(0.0(5.0(3.0(3.0(x1))))))) -> 4^1.1(4.0(x1))
   2^1.0(2.0(2.0(0.0(5.0(3.0(3.1(x1))))))) -> 4^1.1(4.1(x1))
   2^1.0(2.0(2.0(0.0(5.0(3.0(3.0(x1))))))) -> 4^1.0(x1)
   2^1.0(2.0(2.0(0.0(5.0(3.0(3.1(x1))))))) -> 4^1.1(x1)
   2^1.0(1.0(1.0(2.0(5.1(4.0(3.0(x1))))))) -> 5^1.0(0.0(2.1(4.1(4.0(5.0(3.0(5.1(4.0(3.0(x1))))))))))
   2^1.0(1.0(1.0(2.0(5.1(4.0(3.1(x1))))))) -> 5^1.0(0.0(2.1(4.1(4.0(5.0(3.0(5.1(4.0(3.1(x1))))))))))
   2^1.0(1.0(1.0(2.0(5.1(4.0(3.0(x1))))))) -> 0^1.0(2.1(4.1(4.0(5.0(3.0(5.1(4.0(3.0(x1)))))))))
   2^1.0(1.0(1.0(2.0(5.1(4.0(3.1(x1))))))) -> 0^1.0(2.1(4.1(4.0(5.0(3.0(5.1(4.0(3.1(x1)))))))))
   2^1.0(1.0(1.0(2.0(5.1(4.0(3.0(x1))))))) -> 2^1.1(4.1(4.0(5.0(3.0(5.1(4.0(3.0(x1))))))))
   2^1.0(1.0(1.0(2.0(5.1(4.0(3.1(x1))))))) -> 2^1.1(4.1(4.0(5.0(3.0(5.1(4.0(3.1(x1))))))))
   2^1.0(1.0(1.0(2.0(5.1(4.0(3.0(x1))))))) -> 4^1.1(4.0(5.0(3.0(5.1(4.0(3.0(x1)))))))
   2^1.0(1.0(1.0(2.0(5.1(4.0(3.1(x1))))))) -> 4^1.1(4.0(5.0(3.0(5.1(4.0(3.1(x1)))))))
   2^1.0(1.0(1.0(2.0(5.1(4.0(3.0(x1))))))) -> 4^1.0(5.0(3.0(5.1(4.0(3.0(x1))))))
   2^1.0(1.0(1.0(2.0(5.1(4.0(3.1(x1))))))) -> 4^1.0(5.0(3.0(5.1(4.0(3.1(x1))))))
   2^1.0(1.0(1.0(2.0(5.1(4.0(3.0(x1))))))) -> 5^1.0(3.0(5.1(4.0(3.0(x1)))))
   2^1.0(1.0(1.0(2.0(5.1(4.0(3.1(x1))))))) -> 5^1.0(3.0(5.1(4.0(3.1(x1)))))
   2^1.0(1.0(1.0(2.0(5.1(4.0(3.0(x1))))))) -> 3^1.0(5.1(4.0(3.0(x1))))
   2^1.0(1.0(1.0(2.0(5.1(4.0(3.1(x1))))))) -> 3^1.0(5.1(4.0(3.1(x1))))
   2^1.0(2.0(1.1(4.0(2.0(1.1(4.0(x1))))))) -> 5^1.0(0.1(4.1(4.0(1.0(1.0(3.0(5.1(4.0(3.0(x1))))))))))
   2^1.0(2.0(1.1(4.0(2.0(1.1(4.1(x1))))))) -> 5^1.0(0.1(4.1(4.0(1.0(1.0(3.0(5.1(4.0(3.1(x1))))))))))
   2^1.0(2.0(1.1(4.0(2.0(1.1(4.0(x1))))))) -> 0^1.1(4.1(4.0(1.0(1.0(3.0(5.1(4.0(3.0(x1)))))))))
   2^1.0(2.0(1.1(4.0(2.0(1.1(4.1(x1))))))) -> 0^1.1(4.1(4.0(1.0(1.0(3.0(5.1(4.0(3.1(x1)))))))))
   2^1.0(2.0(1.1(4.0(2.0(1.1(4.0(x1))))))) -> 4^1.1(4.0(1.0(1.0(3.0(5.1(4.0(3.0(x1))))))))
   2^1.0(2.0(1.1(4.0(2.0(1.1(4.1(x1))))))) -> 4^1.1(4.0(1.0(1.0(3.0(5.1(4.0(3.1(x1))))))))
   2^1.0(2.0(1.1(4.0(2.0(1.1(4.0(x1))))))) -> 4^1.0(1.0(1.0(3.0(5.1(4.0(3.0(x1)))))))
   2^1.0(2.0(1.1(4.0(2.0(1.1(4.1(x1))))))) -> 4^1.0(1.0(1.0(3.0(5.1(4.0(3.1(x1)))))))
   2^1.0(2.0(1.1(4.0(2.0(1.1(4.0(x1))))))) -> 1^1.0(1.0(3.0(5.1(4.0(3.0(x1))))))
   2^1.0(2.0(1.1(4.0(2.0(1.1(4.1(x1))))))) -> 1^1.0(1.0(3.0(5.1(4.0(3.1(x1))))))
   2^1.0(2.0(1.1(4.0(2.0(1.1(4.0(x1))))))) -> 1^1.0(3.0(5.1(4.0(3.0(x1)))))
   2^1.0(2.0(1.1(4.0(2.0(1.1(4.1(x1))))))) -> 1^1.0(3.0(5.1(4.0(3.1(x1)))))
   2^1.0(2.0(1.1(4.0(2.0(1.1(4.0(x1))))))) -> 3^1.0(5.1(4.0(3.0(x1))))
   2^1.0(2.0(1.1(4.0(2.0(1.1(4.1(x1))))))) -> 3^1.0(5.1(4.0(3.1(x1))))
   2^1.0(2.0(1.1(4.0(2.0(1.1(4.0(x1))))))) -> 5^1.1(4.0(3.0(x1)))
   2^1.0(2.0(1.1(4.0(2.0(1.1(4.1(x1))))))) -> 5^1.1(4.0(3.1(x1)))
   2^1.0(2.0(1.1(4.0(2.0(1.1(4.0(x1))))))) -> 4^1.0(3.0(x1))
   2^1.0(2.0(1.1(4.0(2.0(1.1(4.1(x1))))))) -> 4^1.0(3.1(x1))
   2^1.0(2.0(1.1(4.0(2.0(1.1(4.0(x1))))))) -> 3^1.0(x1)
   2^1.0(2.0(1.1(4.0(2.0(1.1(4.1(x1))))))) -> 3^1.1(x1)
   2^1.0(3.0(3.0(2.0(5.0(2.0(5.0(x1))))))) -> 3^1.0(5.0(2.0(3.0(1.0(3.0(0.0(1.0(3.1(4.0(x1))))))))))
   2^1.0(3.0(3.0(2.0(5.0(2.0(5.1(x1))))))) -> 3^1.0(5.0(2.0(3.0(1.0(3.0(0.0(1.0(3.1(4.1(x1))))))))))
   2^1.0(3.0(3.0(2.0(5.0(2.0(5.0(x1))))))) -> 5^1.0(2.0(3.0(1.0(3.0(0.0(1.0(3.1(4.0(x1)))))))))
   2^1.0(3.0(3.0(2.0(5.0(2.0(5.1(x1))))))) -> 5^1.0(2.0(3.0(1.0(3.0(0.0(1.0(3.1(4.1(x1)))))))))
   2^1.0(3.0(3.0(2.0(5.0(2.0(5.0(x1))))))) -> 2^1.0(3.0(1.0(3.0(0.0(1.0(3.1(4.0(x1))))))))
   2^1.0(3.0(3.0(2.0(5.0(2.0(5.1(x1))))))) -> 2^1.0(3.0(1.0(3.0(0.0(1.0(3.1(4.1(x1))))))))
   2^1.0(3.0(3.0(2.0(5.0(2.0(5.0(x1))))))) -> 3^1.0(1.0(3.0(0.0(1.0(3.1(4.0(x1)))))))
   2^1.0(3.0(3.0(2.0(5.0(2.0(5.1(x1))))))) -> 3^1.0(1.0(3.0(0.0(1.0(3.1(4.1(x1)))))))
   2^1.0(3.0(3.0(2.0(5.0(2.0(5.0(x1))))))) -> 1^1.0(3.0(0.0(1.0(3.1(4.0(x1))))))
   2^1.0(3.0(3.0(2.0(5.0(2.0(5.1(x1))))))) -> 1^1.0(3.0(0.0(1.0(3.1(4.1(x1))))))
   2^1.0(3.0(3.0(2.0(5.0(2.0(5.0(x1))))))) -> 3^1.0(0.0(1.0(3.1(4.0(x1)))))
   2^1.0(3.0(3.0(2.0(5.0(2.0(5.1(x1))))))) -> 3^1.0(0.0(1.0(3.1(4.1(x1)))))
   2^1.0(3.0(3.0(2.0(5.0(2.0(5.0(x1))))))) -> 0^1.0(1.0(3.1(4.0(x1))))
   2^1.0(3.0(3.0(2.0(5.0(2.0(5.1(x1))))))) -> 0^1.0(1.0(3.1(4.1(x1))))
   2^1.0(3.0(3.0(2.0(5.0(2.0(5.0(x1))))))) -> 1^1.0(3.1(4.0(x1)))
   2^1.0(3.0(3.0(2.0(5.0(2.0(5.1(x1))))))) -> 1^1.0(3.1(4.1(x1)))
   2^1.0(3.0(3.0(2.0(5.0(2.0(5.0(x1))))))) -> 3^1.1(4.0(x1))
   2^1.0(3.0(3.0(2.0(5.0(2.0(5.1(x1))))))) -> 3^1.1(4.1(x1))
   2^1.0(3.0(3.0(2.0(5.0(2.0(5.0(x1))))))) -> 4^1.0(x1)
   2^1.0(3.0(3.0(2.0(5.0(2.0(5.1(x1))))))) -> 4^1.1(x1)
   2^1.0(0.0(3.0(2.0(2.0(3.0(5.0(x1))))))) -> 2^1.0(0.0(5.0(0.0(1.0(3.0(3.1(4.0(5.1(4.0(x1))))))))))
   2^1.0(0.0(3.0(2.0(2.0(3.0(5.1(x1))))))) -> 2^1.0(0.0(5.0(0.0(1.0(3.0(3.1(4.0(5.1(4.1(x1))))))))))
   2^1.0(0.0(3.0(2.0(2.0(3.0(5.0(x1))))))) -> 0^1.0(5.0(0.0(1.0(3.0(3.1(4.0(5.1(4.0(x1)))))))))
   2^1.0(0.0(3.0(2.0(2.0(3.0(5.1(x1))))))) -> 0^1.0(5.0(0.0(1.0(3.0(3.1(4.0(5.1(4.1(x1)))))))))
   2^1.0(0.0(3.0(2.0(2.0(3.0(5.0(x1))))))) -> 5^1.0(0.0(1.0(3.0(3.1(4.0(5.1(4.0(x1))))))))
   2^1.0(0.0(3.0(2.0(2.0(3.0(5.1(x1))))))) -> 5^1.0(0.0(1.0(3.0(3.1(4.0(5.1(4.1(x1))))))))
   2^1.0(0.0(3.0(2.0(2.0(3.0(5.0(x1))))))) -> 0^1.0(1.0(3.0(3.1(4.0(5.1(4.0(x1)))))))
   2^1.0(0.0(3.0(2.0(2.0(3.0(5.1(x1))))))) -> 0^1.0(1.0(3.0(3.1(4.0(5.1(4.1(x1)))))))
   2^1.0(0.0(3.0(2.0(2.0(3.0(5.0(x1))))))) -> 1^1.0(3.0(3.1(4.0(5.1(4.0(x1))))))
   2^1.0(0.0(3.0(2.0(2.0(3.0(5.1(x1))))))) -> 1^1.0(3.0(3.1(4.0(5.1(4.1(x1))))))
   2^1.0(0.0(3.0(2.0(2.0(3.0(5.0(x1))))))) -> 3^1.0(3.1(4.0(5.1(4.0(x1)))))
   2^1.0(0.0(3.0(2.0(2.0(3.0(5.1(x1))))))) -> 3^1.0(3.1(4.0(5.1(4.1(x1)))))
   2^1.0(0.0(3.0(2.0(2.0(3.0(5.0(x1))))))) -> 3^1.1(4.0(5.1(4.0(x1))))
   2^1.0(0.0(3.0(2.0(2.0(3.0(5.1(x1))))))) -> 3^1.1(4.0(5.1(4.1(x1))))
   2^1.0(0.0(3.0(2.0(2.0(3.0(5.0(x1))))))) -> 4^1.0(5.1(4.0(x1)))
   2^1.0(0.0(3.0(2.0(2.0(3.0(5.1(x1))))))) -> 4^1.0(5.1(4.1(x1)))
   2^1.0(0.0(3.0(2.0(2.0(3.0(5.0(x1))))))) -> 5^1.1(4.0(x1))
   2^1.0(0.0(3.0(2.0(2.0(3.0(5.1(x1))))))) -> 5^1.1(4.1(x1))
   2^1.0(0.0(3.0(2.0(2.0(3.0(5.0(x1))))))) -> 4^1.0(x1)
   2^1.0(0.0(3.0(2.0(2.0(3.0(5.1(x1))))))) -> 4^1.1(x1)

The TRS R consists of the following rules:

   2.0(1.0(0.0(0.0(x1)))) -> 3.0(0.0(0.0(3.0(5.1(4.1(4.0(5.1(4.0(3.0(x1))))))))))
   2.0(1.0(0.0(0.1(x1)))) -> 3.0(0.0(0.0(3.0(5.1(4.1(4.0(5.1(4.0(3.1(x1))))))))))
   2.0(2.0(2.0(3.0(x1)))) -> 3.0(5.0(3.0(1.1(4.1(4.1(4.0(2.0(3.0(0.0(x1))))))))))
   2.0(2.0(2.0(3.1(x1)))) -> 3.0(5.0(3.0(1.1(4.1(4.1(4.0(2.0(3.0(0.1(x1))))))))))
   2.0(5.1(4.0(2.0(0.0(x1))))) -> 3.0(1.0(3.0(0.0(0.0(0.0(0.1(4.0(3.0(0.0(x1))))))))))
   2.0(5.1(4.0(2.0(0.1(x1))))) -> 3.0(1.0(3.0(0.0(0.0(0.0(0.1(4.0(3.0(0.1(x1))))))))))
   1.0(5.0(0.1(4.0(1.0(x1))))) -> 0.0(3.0(3.0(3.1(4.0(5.1(4.1(4.1(4.0(5.0(x1))))))))))
   1.0(5.0(0.1(4.0(1.1(x1))))) -> 0.0(3.0(3.0(3.1(4.0(5.1(4.1(4.1(4.0(5.1(x1))))))))))
   0.0(2.0(1.1(4.0(5.0(x1))))) -> 0.0(3.0(1.1(4.0(0.0(3.1(4.1(4.0(0.0(0.0(x1))))))))))
   0.0(2.0(1.1(4.0(5.1(x1))))) -> 0.0(3.0(1.1(4.0(0.0(3.1(4.1(4.0(0.0(0.1(x1))))))))))
   5.0(3.0(5.0(2.0(3.0(0.0(x1)))))) -> 5.0(3.0(3.1(4.0(3.1(4.1(4.0(3.0(1.0(3.0(x1))))))))))
   5.0(3.0(5.0(2.0(3.0(0.1(x1)))))) -> 5.0(3.0(3.1(4.0(3.1(4.1(4.0(3.0(1.0(3.1(x1))))))))))
   0.0(5.0(1.0(1.0(5.0(0.0(x1)))))) -> 0.0(3.0(1.0(3.0(3.0(1.0(3.0(0.0(0.0(0.0(x1))))))))))
   0.0(5.0(1.0(1.0(5.0(0.1(x1)))))) -> 0.0(3.0(1.0(3.0(3.0(1.0(3.0(0.0(0.0(0.1(x1))))))))))
   3.0(2.0(2.0(5.0(2.0(1.0(x1)))))) -> 3.0(3.1(4.0(3.1(4.0(5.1(4.0(2.1(4.0(0.0(x1))))))))))
   3.0(2.0(2.0(5.0(2.0(1.1(x1)))))) -> 3.0(3.1(4.0(3.1(4.0(5.1(4.0(2.1(4.0(0.1(x1))))))))))
   3.0(2.0(1.0(0.0(0.0(2.0(x1)))))) -> 3.1(4.1(4.1(4.0(3.0(1.0(3.0(3.0(3.0(1.0(x1))))))))))
   3.0(2.0(1.0(0.0(0.0(2.1(x1)))))) -> 3.1(4.1(4.1(4.0(3.0(1.0(3.0(3.0(3.0(1.1(x1))))))))))
   1.0(5.0(3.0(1.0(0.0(2.0(x1)))))) -> 1.0(0.0(3.0(5.1(4.0(5.1(4.0(3.0(0.0(0.0(x1))))))))))
   1.0(5.0(3.0(1.0(0.0(2.1(x1)))))) -> 1.0(0.0(3.0(5.1(4.0(5.1(4.0(3.0(0.0(0.1(x1))))))))))
   1.0(0.0(0.0(5.0(5.0(2.0(x1)))))) -> 0.0(3.0(5.0(1.0(3.1(4.0(3.0(0.0(1.1(4.0(x1))))))))))
   1.0(0.0(0.0(5.0(5.0(2.1(x1)))))) -> 0.0(3.0(5.0(1.0(3.1(4.0(3.0(0.0(1.1(4.1(x1))))))))))
   1.0(3.0(0.1(4.0(0.0(3.0(x1)))))) -> 1.0(3.0(0.0(1.0(0.0(3.0(5.1(4.1(4.1(4.0(x1))))))))))
   1.0(3.0(0.1(4.0(0.0(3.1(x1)))))) -> 1.0(3.0(0.0(1.0(0.0(3.0(5.1(4.1(4.1(4.1(x1))))))))))
   0.0(5.0(5.0(1.0(2.0(3.0(x1)))))) -> 0.0(3.0(3.1(4.0(0.1(4.0(3.0(3.0(1.1(4.0(x1))))))))))
   0.0(5.0(5.0(1.0(2.0(3.1(x1)))))) -> 0.0(3.0(3.1(4.0(0.1(4.0(3.0(3.0(1.1(4.1(x1))))))))))
   2.0(2.0(1.1(4.0(2.0(3.0(x1)))))) -> 2.1(4.0(3.0(0.0(2.1(4.0(5.1(4.1(4.1(4.0(x1))))))))))
   2.0(2.0(1.1(4.0(2.0(3.1(x1)))))) -> 2.1(4.0(3.0(0.0(2.1(4.0(5.1(4.1(4.1(4.1(x1))))))))))
   0.0(2.0(2.0(5.0(2.0(3.0(x1)))))) -> 0.0(3.0(5.0(3.0(1.0(2.0(0.1(4.1(4.0(3.0(x1))))))))))
   0.0(2.0(2.0(5.0(2.0(3.1(x1)))))) -> 0.0(3.0(5.0(3.0(1.0(2.0(0.1(4.1(4.0(3.1(x1))))))))))
   3.0(2.0(2.0(1.1(4.0(3.0(x1)))))) -> 5.1(4.1(4.1(4.1(4.1(4.0(1.1(4.0(5.0(3.0(x1))))))))))
   3.0(2.0(2.0(1.1(4.0(3.1(x1)))))) -> 5.1(4.1(4.1(4.1(4.1(4.0(1.1(4.0(5.0(3.1(x1))))))))))
   5.0(3.0(0.0(2.0(5.0(3.0(x1)))))) -> 5.0(2.1(4.1(4.0(3.1(4.0(3.1(4.0(3.0(3.0(x1))))))))))
   5.0(3.0(0.0(2.0(5.0(3.1(x1)))))) -> 5.0(2.1(4.1(4.0(3.1(4.0(3.1(4.0(3.0(3.1(x1))))))))))
   4.0(1.0(0.0(0.0(0.1(4.0(x1)))))) -> 4.0(1.0(3.0(1.1(4.0(3.0(3.0(0.0(3.0(2.0(x1))))))))))
   4.0(1.0(0.0(0.0(0.1(4.1(x1)))))) -> 4.0(1.0(3.0(1.1(4.0(3.0(3.0(0.0(3.0(2.1(x1))))))))))
   4.0(2.0(3.0(1.0(0.1(4.0(x1)))))) -> 4.0(1.1(4.0(1.0(3.0(3.0(1.1(4.0(1.1(4.0(x1))))))))))
   4.0(2.0(3.0(1.0(0.1(4.1(x1)))))) -> 4.0(1.1(4.0(1.0(3.0(3.0(1.1(4.0(1.1(4.1(x1))))))))))
   4.1(4.0(5.0(0.0(3.1(4.0(x1)))))) -> 4.0(2.1(4.1(4.0(1.0(3.0(5.1(4.0(3.1(4.0(x1))))))))))
   4.1(4.0(5.0(0.0(3.1(4.1(x1)))))) -> 4.0(2.1(4.1(4.0(1.0(3.0(5.1(4.0(3.1(4.1(x1))))))))))
   0.0(5.0(3.0(2.0(1.0(5.0(x1)))))) -> 0.0(3.0(3.1(4.1(4.0(2.1(4.1(4.0(2.0(2.0(x1))))))))))
   0.0(5.0(3.0(2.0(1.0(5.1(x1)))))) -> 0.0(3.0(3.1(4.1(4.0(2.1(4.1(4.0(2.0(2.1(x1))))))))))
   3.0(3.0(1.0(0.0(3.0(5.0(x1)))))) -> 3.0(3.0(1.0(3.1(4.1(4.0(1.1(4.1(4.0(2.0(x1))))))))))
   3.0(3.0(1.0(0.0(3.0(5.1(x1)))))) -> 3.0(3.0(1.0(3.1(4.1(4.0(1.1(4.1(4.0(2.1(x1))))))))))
   3.0(5.0(5.0(5.1(4.0(5.0(x1)))))) -> 3.0(0.1(4.0(3.1(4.0(2.1(4.1(4.0(5.0(3.0(x1))))))))))
   3.0(5.0(5.0(5.1(4.0(5.1(x1)))))) -> 3.0(0.1(4.0(3.1(4.0(2.1(4.1(4.0(5.0(3.1(x1))))))))))
   3.0(5.0(1.0(0.0(5.0(5.0(x1)))))) -> 3.1(4.0(5.0(0.0(3.0(1.1(4.1(4.1(4.0(5.0(x1))))))))))
   3.0(5.0(1.0(0.0(5.0(5.1(x1)))))) -> 3.1(4.0(5.0(0.0(3.0(1.1(4.1(4.1(4.0(5.1(x1))))))))))
   2.0(2.0(0.0(5.0(5.0(5.0(x1)))))) -> 3.1(4.1(4.0(3.1(4.0(3.1(4.0(1.1(4.0(2.0(x1))))))))))
   2.0(2.0(0.0(5.0(5.0(5.1(x1)))))) -> 3.1(4.1(4.0(3.1(4.0(3.1(4.0(1.1(4.0(2.1(x1))))))))))
   3.0(2.0(5.0(5.0(5.0(5.0(x1)))))) -> 3.1(4.1(4.0(2.1(4.0(1.1(4.0(0.0(3.0(3.0(x1))))))))))
   3.0(2.0(5.0(5.0(5.0(5.1(x1)))))) -> 3.1(4.1(4.0(2.1(4.0(1.1(4.0(0.0(3.0(3.1(x1))))))))))
   3.0(2.0(2.0(5.1(4.0(2.0(0.0(x1))))))) -> 3.0(5.0(1.0(3.0(1.1(4.1(4.0(1.0(5.0(0.0(x1))))))))))
   3.0(2.0(2.0(5.1(4.0(2.0(0.1(x1))))))) -> 3.0(5.0(1.0(3.0(1.1(4.1(4.0(1.0(5.0(0.1(x1))))))))))
   3.0(5.0(1.1(4.0(0.0(3.0(0.0(x1))))))) -> 5.0(0.0(0.0(3.1(4.1(4.0(3.0(3.0(0.0(0.0(x1))))))))))
   3.0(5.0(1.1(4.0(0.0(3.0(0.1(x1))))))) -> 5.0(0.0(0.0(3.1(4.1(4.0(3.0(3.0(0.0(0.1(x1))))))))))
   2.0(2.0(5.1(4.0(3.1(4.0(0.0(x1))))))) -> 2.0(3.0(3.0(2.1(4.0(3.0(5.1(4.0(0.0(0.0(x1))))))))))
   2.0(2.0(5.1(4.0(3.1(4.0(0.1(x1))))))) -> 2.0(3.0(3.0(2.1(4.0(3.0(5.1(4.0(0.0(0.1(x1))))))))))
   3.0(2.0(2.0(0.0(2.0(3.0(1.0(x1))))))) -> 3.0(2.0(1.0(1.0(1.0(5.0(3.1(4.0(3.0(1.0(x1))))))))))
   3.0(2.0(2.0(0.0(2.0(3.0(1.1(x1))))))) -> 3.0(2.0(1.0(1.0(1.0(5.0(3.1(4.0(3.0(1.1(x1))))))))))
   0.0(2.0(2.0(5.0(5.1(4.0(1.0(x1))))))) -> 0.0(3.0(0.0(5.1(4.1(4.0(3.0(1.0(2.0(3.0(x1))))))))))
   0.0(2.0(2.0(5.0(5.1(4.0(1.1(x1))))))) -> 0.0(3.0(0.0(5.1(4.1(4.0(3.0(1.0(2.0(3.1(x1))))))))))
   4.0(2.0(2.0(2.0(0.0(5.0(1.0(x1))))))) -> 4.0(1.0(3.0(3.1(4.0(5.0(3.0(1.0(5.0(0.0(x1))))))))))
   4.0(2.0(2.0(2.0(0.0(5.0(1.1(x1))))))) -> 4.0(1.0(3.0(3.1(4.0(5.0(3.0(1.0(5.0(0.1(x1))))))))))
   3.0(1.0(2.0(0.1(4.0(5.0(1.0(x1))))))) -> 3.0(0.1(4.1(4.0(3.0(3.0(5.0(1.0(1.0(0.0(x1))))))))))
   3.0(1.0(2.0(0.1(4.0(5.0(1.1(x1))))))) -> 3.0(0.1(4.1(4.0(3.0(3.0(5.0(1.0(1.0(0.1(x1))))))))))
   5.0(0.0(2.0(5.0(1.0(0.0(2.0(x1))))))) -> 5.0(2.0(0.0(3.0(1.0(3.0(0.0(0.1(4.0(3.0(x1))))))))))
   5.0(0.0(2.0(5.0(1.0(0.0(2.1(x1))))))) -> 5.0(2.0(0.0(3.0(1.0(3.0(0.0(0.1(4.0(3.1(x1))))))))))
   4.0(2.0(2.0(0.0(0.0(2.0(2.0(x1))))))) -> 4.1(4.1(4.1(4.0(5.1(4.1(4.0(1.0(1.0(2.0(x1))))))))))
   4.0(2.0(2.0(0.0(0.0(2.0(2.1(x1))))))) -> 4.1(4.1(4.1(4.0(5.1(4.1(4.0(1.0(1.0(2.1(x1))))))))))
   3.0(1.0(0.0(5.0(0.0(3.0(2.0(x1))))))) -> 3.0(1.0(3.0(0.0(1.0(5.0(0.0(1.0(3.0(2.0(x1))))))))))
   3.0(1.0(0.0(5.0(0.0(3.0(2.1(x1))))))) -> 3.0(1.0(3.0(0.0(1.0(5.0(0.0(1.0(3.0(2.1(x1))))))))))
   0.0(5.0(2.0(2.0(0.1(4.0(2.0(x1))))))) -> 0.0(3.0(0.1(4.1(4.0(5.1(4.0(0.0(3.0(1.0(x1))))))))))
   0.0(5.0(2.0(2.0(0.1(4.0(2.1(x1))))))) -> 0.0(3.0(0.1(4.1(4.0(5.1(4.0(0.0(3.0(1.1(x1))))))))))
   0.0(5.0(2.0(0.0(5.1(4.0(2.0(x1))))))) -> 1.0(1.0(5.0(0.1(4.0(3.0(1.0(3.1(4.1(4.0(x1))))))))))
   0.0(5.0(2.0(0.0(5.1(4.0(2.1(x1))))))) -> 1.0(1.0(5.0(0.1(4.0(3.0(1.0(3.1(4.1(4.1(x1))))))))))
   4.0(2.0(5.0(2.0(2.0(5.0(2.0(x1))))))) -> 4.1(4.0(0.1(4.0(0.0(3.0(1.1(4.0(3.1(4.0(x1))))))))))
   4.0(2.0(5.0(2.0(2.0(5.0(2.1(x1))))))) -> 4.1(4.0(0.1(4.0(0.0(3.0(1.1(4.0(3.1(4.1(x1))))))))))
   2.0(2.0(2.0(2.0(0.0(2.0(3.0(x1))))))) -> 5.0(0.0(5.0(3.0(2.0(3.0(1.0(3.0(5.1(4.0(x1))))))))))
   2.0(2.0(2.0(2.0(0.0(2.0(3.1(x1))))))) -> 5.0(0.0(5.0(3.0(2.0(3.0(1.0(3.0(5.1(4.1(x1))))))))))
   5.1(4.0(2.0(5.0(5.0(2.0(3.0(x1))))))) -> 5.1(4.0(3.1(4.0(2.0(3.0(0.0(0.0(0.0(3.0(x1))))))))))
   5.1(4.0(2.0(5.0(5.0(2.0(3.1(x1))))))) -> 5.1(4.0(3.1(4.0(2.0(3.0(0.0(0.0(0.0(3.1(x1))))))))))
   3.0(2.0(3.0(5.0(5.0(2.0(3.0(x1))))))) -> 3.0(3.1(4.0(2.0(3.0(0.0(5.0(0.0(1.0(3.0(x1))))))))))
   3.0(2.0(3.0(5.0(5.0(2.0(3.1(x1))))))) -> 3.0(3.1(4.0(2.0(3.0(0.0(5.0(0.0(1.0(3.1(x1))))))))))
   2.0(2.0(2.0(0.0(5.0(3.0(3.0(x1))))))) -> 5.0(3.0(5.0(3.0(3.1(4.0(0.0(3.1(4.1(4.0(x1))))))))))
   2.0(2.0(2.0(0.0(5.0(3.0(3.1(x1))))))) -> 5.0(3.0(5.0(3.0(3.1(4.0(0.0(3.1(4.1(4.1(x1))))))))))
   2.0(1.0(1.0(2.0(5.1(4.0(3.0(x1))))))) -> 5.0(0.0(2.1(4.1(4.0(5.0(3.0(5.1(4.0(3.0(x1))))))))))
   2.0(1.0(1.0(2.0(5.1(4.0(3.1(x1))))))) -> 5.0(0.0(2.1(4.1(4.0(5.0(3.0(5.1(4.0(3.1(x1))))))))))
   4.0(5.0(1.0(3.0(3.0(0.1(4.0(x1))))))) -> 4.1(4.1(4.0(3.0(0.0(0.0(0.0(1.0(3.0(1.0(x1))))))))))
   4.0(5.0(1.0(3.0(3.0(0.1(4.1(x1))))))) -> 4.1(4.1(4.0(3.0(0.0(0.0(0.0(1.0(3.0(1.1(x1))))))))))
   2.0(2.0(1.1(4.0(2.0(1.1(4.0(x1))))))) -> 5.0(0.1(4.1(4.0(1.0(1.0(3.0(5.1(4.0(3.0(x1))))))))))
   2.0(2.0(1.1(4.0(2.0(1.1(4.1(x1))))))) -> 5.0(0.1(4.1(4.0(1.0(1.0(3.0(5.1(4.0(3.1(x1))))))))))
   2.0(3.0(3.0(2.0(5.0(2.0(5.0(x1))))))) -> 3.0(5.0(2.0(3.0(1.0(3.0(0.0(1.0(3.1(4.0(x1))))))))))
   2.0(3.0(3.0(2.0(5.0(2.0(5.1(x1))))))) -> 3.0(5.0(2.0(3.0(1.0(3.0(0.0(1.0(3.1(4.1(x1))))))))))
   2.0(0.0(3.0(2.0(2.0(3.0(5.0(x1))))))) -> 2.0(0.0(5.0(0.0(1.0(3.0(3.1(4.0(5.1(4.0(x1))))))))))
   2.0(0.0(3.0(2.0(2.0(3.0(5.1(x1))))))) -> 2.0(0.0(5.0(0.0(1.0(3.0(3.1(4.0(5.1(4.1(x1))))))))))
   0.0(5.0(2.0(5.0(2.0(3.0(5.0(x1))))))) -> 1.0(3.0(0.0(3.1(4.1(4.0(2.0(2.1(4.0(5.0(x1))))))))))
   0.0(5.0(2.0(5.0(2.0(3.0(5.1(x1))))))) -> 1.0(3.0(0.0(3.1(4.1(4.0(2.0(2.1(4.0(5.1(x1))))))))))
   0.0(2.0(2.0(2.0(2.0(5.0(5.0(x1))))))) -> 0.0(3.0(0.0(1.0(3.0(1.0(5.0(3.0(5.0(0.0(x1))))))))))
   0.0(2.0(2.0(2.0(2.0(5.0(5.1(x1))))))) -> 0.0(3.0(0.0(1.0(3.0(1.0(5.0(3.0(5.0(0.1(x1))))))))))
   0.0(1.0(1.0(2.0(5.0(5.0(5.0(x1))))))) -> 1.0(3.0(3.0(2.1(4.0(5.1(4.0(2.0(2.1(4.0(x1))))))))))
   0.0(1.0(1.0(2.0(5.0(5.0(5.1(x1))))))) -> 1.0(3.0(3.0(2.1(4.0(5.1(4.0(2.0(2.1(4.1(x1))))))))))
   0.0(0.0(2.0(2.0(5.0(5.0(5.0(x1))))))) -> 1.0(3.0(3.0(2.1(4.0(3.0(3.0(0.1(4.0(1.0(x1))))))))))
   0.0(0.0(2.0(2.0(5.0(5.0(5.1(x1))))))) -> 1.0(3.0(3.0(2.1(4.0(3.0(3.0(0.1(4.0(1.1(x1))))))))))

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

(7) DependencyGraphProof (EQUIVALENT)
The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 1 SCC with 747 less nodes.
----------------------------------------

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

   3^1.0(2.0(2.0(5.0(2.0(1.0(x1)))))) -> 4^1.0(0.0(x1))
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.0(x1))))))) -> 4^1.0(5.0(3.0(1.0(5.0(0.0(x1))))))
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.0(x1))))))) -> 5^1.0(3.0(1.0(5.0(0.0(x1)))))
   5^1.0(3.0(5.0(2.0(3.0(0.0(x1)))))) -> 4^1.0(3.0(1.0(3.0(x1))))
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.0(x1))))))) -> 3^1.0(1.0(5.0(0.0(x1))))
   3^1.0(2.0(2.0(5.0(2.0(1.0(x1)))))) -> 0^1.0(x1)
   0^1.0(2.0(1.1(4.0(5.0(x1))))) -> 4^1.0(0.0(0.0(x1)))
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.0(x1))))))) -> 1^1.0(5.0(0.0(x1)))
   1^1.0(5.0(0.1(4.0(1.0(x1))))) -> 4^1.0(5.1(4.1(4.1(4.0(5.0(x1))))))
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.0(x1))))))) -> 5^1.0(0.0(x1))
   5^1.0(3.0(5.0(2.0(3.0(0.0(x1)))))) -> 3^1.0(1.0(3.0(x1)))
   3^1.0(2.0(1.0(0.0(0.0(2.0(x1)))))) -> 4^1.0(3.0(1.0(3.0(3.0(3.0(1.0(x1)))))))
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.0(x1))))))) -> 0^1.0(x1)
   0^1.0(2.0(1.1(4.0(5.0(x1))))) -> 0^1.0(0.0(x1))
   0^1.0(5.0(1.0(1.0(5.0(0.0(x1)))))) -> 0^1.0(3.0(1.0(3.0(3.0(1.0(3.0(0.0(0.0(0.0(x1))))))))))
   0^1.0(5.0(1.0(1.0(5.0(0.0(x1)))))) -> 3^1.0(1.0(3.0(3.0(1.0(3.0(0.0(0.0(0.0(x1)))))))))
   3^1.0(2.0(1.0(0.0(0.0(2.0(x1)))))) -> 3^1.0(1.0(3.0(3.0(3.0(1.0(x1))))))
   3^1.0(2.0(1.0(0.0(0.0(2.0(x1)))))) -> 1^1.0(3.0(3.0(3.0(1.0(x1)))))
   1^1.0(5.0(0.1(4.0(1.1(x1))))) -> 4^1.0(5.1(4.1(4.1(4.0(5.1(x1))))))
   4^1.0(2.0(2.0(0.0(0.0(2.0(2.0(x1))))))) -> 4^1.0(5.1(4.1(4.0(1.0(1.0(2.0(x1)))))))
   4^1.0(2.0(2.0(0.0(0.0(2.0(2.0(x1))))))) -> 5^1.1(4.1(4.0(1.0(1.0(2.0(x1))))))
   5^1.1(4.0(2.0(5.0(5.0(2.0(3.0(x1))))))) -> 4^1.0(2.0(3.0(0.0(0.0(0.0(3.0(x1)))))))
   4^1.0(2.0(2.0(0.0(0.0(2.0(2.0(x1))))))) -> 4^1.0(1.0(1.0(2.0(x1))))
   4^1.0(2.0(2.0(0.0(0.0(2.0(2.0(x1))))))) -> 1^1.0(1.0(2.0(x1)))
   1^1.0(5.0(0.1(4.0(1.0(x1))))) -> 5^1.1(4.1(4.1(4.0(5.0(x1)))))
   5^1.1(4.0(2.0(5.0(5.0(2.0(3.0(x1))))))) -> 2^1.0(3.0(0.0(0.0(0.0(3.0(x1))))))
   2^1.0(1.0(0.0(0.0(x1)))) -> 3^1.0(0.0(0.0(3.0(5.1(4.1(4.0(5.1(4.0(3.0(x1))))))))))
   3^1.0(2.0(1.0(0.0(0.0(2.0(x1)))))) -> 3^1.0(3.0(3.0(1.0(x1))))
   3^1.0(2.0(1.0(0.0(0.0(2.0(x1)))))) -> 3^1.0(3.0(1.0(x1)))
   3^1.0(2.0(1.0(0.0(0.0(2.0(x1)))))) -> 3^1.0(1.0(x1))
   3^1.0(2.0(1.0(0.0(0.0(2.0(x1)))))) -> 1^1.0(x1)
   1^1.0(5.0(0.1(4.0(1.1(x1))))) -> 5^1.1(4.1(4.1(4.0(5.1(x1)))))
   5^1.1(4.0(2.0(5.0(5.0(2.0(3.0(x1))))))) -> 3^1.0(0.0(0.0(0.0(3.0(x1)))))
   3^1.0(3.0(1.0(0.0(3.0(5.0(x1)))))) -> 4^1.0(2.0(x1))
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.1(x1))))))) -> 4^1.0(5.0(3.0(1.0(5.0(0.1(x1))))))
   4^1.0(2.0(2.0(0.0(0.0(2.0(2.0(x1))))))) -> 1^1.0(2.0(x1))
   1^1.0(5.0(0.1(4.0(1.0(x1))))) -> 4^1.0(5.0(x1))
   4^1.0(2.0(5.0(2.0(2.0(5.0(2.0(x1))))))) -> 4^1.0(x1)
   4^1.0(1.0(0.0(0.0(0.1(4.0(x1)))))) -> 4^1.0(3.0(3.0(0.0(3.0(2.0(x1))))))
   4^1.0(5.0(1.0(3.0(3.0(0.1(4.0(x1))))))) -> 4^1.0(3.0(0.0(0.0(0.0(1.0(3.0(1.0(x1))))))))
   4^1.0(5.0(1.0(3.0(3.0(0.1(4.0(x1))))))) -> 3^1.0(0.0(0.0(0.0(1.0(3.0(1.0(x1)))))))
   3^1.0(3.0(1.0(0.0(3.0(5.0(x1)))))) -> 2^1.0(x1)
   2^1.0(1.0(0.0(0.0(x1)))) -> 0^1.0(0.0(3.0(5.1(4.1(4.0(5.1(4.0(3.0(x1)))))))))
   0^1.0(5.0(1.0(1.0(5.0(0.0(x1)))))) -> 1^1.0(3.0(3.0(1.0(3.0(0.0(0.0(0.0(x1))))))))
   1^1.0(5.0(0.1(4.0(1.1(x1))))) -> 4^1.0(5.1(x1))
   4^1.0(5.0(1.0(3.0(3.0(0.1(4.0(x1))))))) -> 0^1.0(0.0(0.0(1.0(3.0(1.0(x1))))))
   0^1.0(5.0(1.0(1.0(5.0(0.0(x1)))))) -> 3^1.0(3.0(1.0(3.0(0.0(0.0(0.0(x1)))))))
   3^1.0(5.0(5.0(5.1(4.0(5.0(x1)))))) -> 4^1.0(5.0(3.0(x1)))
   4^1.0(5.0(1.0(3.0(3.0(0.1(4.0(x1))))))) -> 0^1.0(0.0(1.0(3.0(1.0(x1)))))
   0^1.0(5.0(1.0(1.0(5.0(0.0(x1)))))) -> 3^1.0(1.0(3.0(0.0(0.0(0.0(x1))))))
   3^1.0(5.0(5.0(5.1(4.0(5.0(x1)))))) -> 5^1.0(3.0(x1))
   5^1.0(3.0(5.0(2.0(3.0(0.0(x1)))))) -> 1^1.0(3.0(x1))
   1^1.0(5.0(0.1(4.0(1.0(x1))))) -> 5^1.0(x1)
   5^1.0(3.0(5.0(2.0(3.0(0.0(x1)))))) -> 3^1.0(x1)
   3^1.0(2.0(2.0(1.1(4.0(3.0(x1)))))) -> 4^1.0(5.0(3.0(x1)))
   4^1.0(5.0(1.0(3.0(3.0(0.1(4.0(x1))))))) -> 0^1.0(1.0(3.0(1.0(x1))))
   0^1.0(5.0(1.0(1.0(5.0(0.0(x1)))))) -> 1^1.0(3.0(0.0(0.0(0.0(x1)))))
   1^1.0(5.0(0.1(4.0(1.1(x1))))) -> 5^1.1(x1)
   5^1.1(4.0(2.0(5.0(5.0(2.0(3.0(x1))))))) -> 0^1.0(0.0(0.0(3.0(x1))))
   0^1.0(5.0(1.0(1.0(5.0(0.0(x1)))))) -> 3^1.0(0.0(0.0(0.0(x1))))
   3^1.0(5.0(5.0(5.1(4.0(5.0(x1)))))) -> 3^1.0(x1)
   3^1.0(2.0(2.0(1.1(4.0(3.0(x1)))))) -> 5^1.0(3.0(x1))
   5^1.0(3.0(0.0(2.0(5.0(3.0(x1)))))) -> 4^1.0(3.0(3.0(x1)))
   4^1.0(5.0(1.0(3.0(3.0(0.1(4.0(x1))))))) -> 1^1.0(3.0(1.0(x1)))
   1^1.0(5.0(3.0(1.0(0.0(2.0(x1)))))) -> 1^1.0(0.0(3.0(5.1(4.0(5.1(4.0(3.0(0.0(0.0(x1))))))))))
   1^1.0(5.0(3.0(1.0(0.0(2.0(x1)))))) -> 0^1.0(3.0(5.1(4.0(5.1(4.0(3.0(0.0(0.0(x1)))))))))
   0^1.0(5.0(1.0(1.0(5.0(0.0(x1)))))) -> 0^1.0(0.0(0.0(x1)))
   0^1.0(5.0(1.0(1.0(5.0(0.0(x1)))))) -> 0^1.0(0.0(x1))
   0^1.0(5.0(5.0(1.0(2.0(3.0(x1)))))) -> 4^1.0(x1)
   4^1.0(1.0(0.0(0.0(0.1(4.0(x1)))))) -> 3^1.0(3.0(0.0(3.0(2.0(x1)))))
   3^1.0(5.0(1.0(0.0(5.0(5.0(x1)))))) -> 4^1.0(5.0(x1))
   4^1.0(5.0(1.0(3.0(3.0(0.1(4.0(x1))))))) -> 3^1.0(1.0(x1))
   3^1.0(5.0(1.0(0.0(5.0(5.1(x1)))))) -> 4^1.0(5.1(x1))
   4^1.0(5.0(1.0(3.0(3.0(0.1(4.0(x1))))))) -> 1^1.0(x1)
   1^1.0(5.0(3.0(1.0(0.0(2.0(x1)))))) -> 3^1.0(5.1(4.0(5.1(4.0(3.0(0.0(0.0(x1))))))))
   3^1.0(2.0(5.0(5.0(5.0(5.0(x1)))))) -> 4^1.0(0.0(3.0(3.0(x1))))
   3^1.0(2.0(5.0(5.0(5.0(5.0(x1)))))) -> 0^1.0(3.0(3.0(x1)))
   0^1.0(2.0(2.0(5.0(2.0(3.0(x1)))))) -> 0^1.0(3.0(5.0(3.0(1.0(2.0(0.1(4.1(4.0(3.0(x1))))))))))
   0^1.0(2.0(2.0(5.0(2.0(3.0(x1)))))) -> 3^1.0(5.0(3.0(1.0(2.0(0.1(4.1(4.0(3.0(x1)))))))))
   3^1.0(2.0(5.0(5.0(5.0(5.0(x1)))))) -> 3^1.0(3.0(x1))
   3^1.0(2.0(5.0(5.0(5.0(5.0(x1)))))) -> 3^1.0(x1)
   3^1.0(2.0(2.0(5.1(4.0(2.0(0.0(x1))))))) -> 4^1.0(1.0(5.0(0.0(x1))))
   3^1.0(2.0(2.0(5.1(4.0(2.0(0.1(x1))))))) -> 4^1.0(1.0(5.0(0.1(x1))))
   3^1.0(2.0(2.0(5.1(4.0(2.0(0.0(x1))))))) -> 1^1.0(5.0(0.0(x1)))
   1^1.0(5.0(3.0(1.0(0.0(2.0(x1)))))) -> 5^1.1(4.0(5.1(4.0(3.0(0.0(0.0(x1)))))))
   5^1.1(4.0(2.0(5.0(5.0(2.0(3.0(x1))))))) -> 0^1.0(0.0(3.0(x1)))
   0^1.0(2.0(2.0(5.0(2.0(3.0(x1)))))) -> 5^1.0(3.0(1.0(2.0(0.1(4.1(4.0(3.0(x1))))))))
   5^1.0(3.0(0.0(2.0(5.0(3.0(x1)))))) -> 3^1.0(3.0(x1))
   3^1.0(2.0(2.0(5.1(4.0(2.0(0.0(x1))))))) -> 5^1.0(0.0(x1))
   5^1.0(0.0(2.0(5.0(1.0(0.0(2.0(x1))))))) -> 4^1.0(3.0(x1))
   5^1.0(0.0(2.0(5.0(1.0(0.0(2.0(x1))))))) -> 3^1.0(x1)
   3^1.0(2.0(2.0(5.1(4.0(2.0(0.1(x1))))))) -> 1^1.0(5.0(0.1(x1)))
   3^1.0(5.0(1.1(4.0(0.0(3.0(0.0(x1))))))) -> 4^1.0(3.0(3.0(0.0(0.0(x1)))))
   3^1.0(5.0(1.1(4.0(0.0(3.0(0.0(x1))))))) -> 3^1.0(3.0(0.0(0.0(x1))))
   3^1.0(2.0(2.0(0.0(2.0(3.0(1.0(x1))))))) -> 4^1.0(3.0(1.0(x1)))
   3^1.0(1.0(0.0(5.0(0.0(3.0(2.0(x1))))))) -> 3^1.0(1.0(3.0(0.0(1.0(5.0(0.0(1.0(3.0(2.0(x1))))))))))
   3^1.0(1.0(0.0(5.0(0.0(3.0(2.0(x1))))))) -> 1^1.0(3.0(0.0(1.0(5.0(0.0(1.0(3.0(2.0(x1)))))))))
   1^1.0(5.0(3.0(1.0(0.0(2.0(x1)))))) -> 4^1.0(5.1(4.0(3.0(0.0(0.0(x1))))))
   1^1.0(5.0(3.0(1.0(0.0(2.0(x1)))))) -> 5^1.1(4.0(3.0(0.0(0.0(x1)))))
   5^1.1(4.0(2.0(5.0(5.0(2.0(3.0(x1))))))) -> 0^1.0(3.0(x1))
   0^1.0(2.0(2.0(5.0(2.0(3.0(x1)))))) -> 3^1.0(1.0(2.0(0.1(4.1(4.0(3.0(x1)))))))
   3^1.0(1.0(2.0(0.1(4.0(5.0(1.0(x1))))))) -> 4^1.0(3.0(3.0(5.0(1.0(1.0(0.0(x1)))))))
   3^1.0(1.0(2.0(0.1(4.0(5.0(1.0(x1))))))) -> 3^1.0(3.0(5.0(1.0(1.0(0.0(x1))))))
   3^1.0(1.0(0.0(5.0(0.0(3.0(2.0(x1))))))) -> 3^1.0(0.0(1.0(5.0(0.0(1.0(3.0(2.0(x1))))))))
   3^1.0(1.0(0.0(5.0(0.0(3.0(2.0(x1))))))) -> 0^1.0(1.0(5.0(0.0(1.0(3.0(2.0(x1)))))))
   0^1.0(2.0(2.0(5.0(2.0(3.0(x1)))))) -> 4^1.0(3.0(x1))
   0^1.0(5.0(3.0(2.0(1.0(5.0(x1)))))) -> 4^1.0(2.0(2.0(x1)))
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.1(x1))))))) -> 5^1.0(3.0(1.0(5.0(0.1(x1)))))
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.1(x1))))))) -> 3^1.0(1.0(5.0(0.1(x1))))
   3^1.0(1.0(0.0(5.0(0.0(3.0(2.0(x1))))))) -> 1^1.0(5.0(0.0(1.0(3.0(2.0(x1))))))
   1^1.0(5.0(3.0(1.0(0.0(2.0(x1)))))) -> 4^1.0(3.0(0.0(0.0(x1))))
   1^1.0(5.0(3.0(1.0(0.0(2.0(x1)))))) -> 3^1.0(0.0(0.0(x1)))
   3^1.0(1.0(0.0(5.0(0.0(3.0(2.0(x1))))))) -> 5^1.0(0.0(1.0(3.0(2.0(x1)))))
   3^1.0(1.0(0.0(5.0(0.0(3.0(2.0(x1))))))) -> 0^1.0(1.0(3.0(2.0(x1))))
   0^1.0(5.0(3.0(2.0(1.0(5.0(x1)))))) -> 2^1.0(2.0(x1))
   2^1.0(1.0(0.0(0.0(x1)))) -> 0^1.0(3.0(5.1(4.1(4.0(5.1(4.0(3.0(x1))))))))
   0^1.0(5.0(3.0(2.0(1.0(5.0(x1)))))) -> 2^1.0(x1)
   2^1.0(1.0(0.0(0.0(x1)))) -> 3^1.0(5.1(4.1(4.0(5.1(4.0(3.0(x1)))))))
   3^1.0(1.0(0.0(5.0(0.0(3.0(2.0(x1))))))) -> 1^1.0(3.0(2.0(x1)))
   1^1.0(5.0(3.0(1.0(0.0(2.0(x1)))))) -> 0^1.0(0.0(x1))
   0^1.0(2.0(2.0(5.0(5.1(4.0(1.0(x1))))))) -> 0^1.0(3.0(0.0(5.1(4.1(4.0(3.0(1.0(2.0(3.0(x1))))))))))
   0^1.0(2.0(2.0(5.0(5.1(4.0(1.0(x1))))))) -> 3^1.0(0.0(5.1(4.1(4.0(3.0(1.0(2.0(3.0(x1)))))))))
   3^1.0(2.0(3.0(5.0(5.0(2.0(3.0(x1))))))) -> 4^1.0(2.0(3.0(0.0(5.0(0.0(1.0(3.0(x1))))))))
   3^1.0(2.0(3.0(5.0(5.0(2.0(3.0(x1))))))) -> 2^1.0(3.0(0.0(5.0(0.0(1.0(3.0(x1)))))))
   2^1.0(1.0(0.0(0.0(x1)))) -> 5^1.1(4.1(4.0(5.1(4.0(3.0(x1))))))
   2^1.0(1.0(0.0(0.0(x1)))) -> 4^1.0(5.1(4.0(3.0(x1))))
   2^1.0(1.0(0.0(0.0(x1)))) -> 5^1.1(4.0(3.0(x1)))
   2^1.0(1.0(0.0(0.0(x1)))) -> 4^1.0(3.0(x1))
   2^1.0(1.0(0.0(0.0(x1)))) -> 3^1.0(x1)
   3^1.0(5.0(1.1(4.0(0.0(3.0(0.0(x1))))))) -> 3^1.0(0.0(0.0(x1)))
   3^1.0(2.0(3.0(5.0(5.0(2.0(3.0(x1))))))) -> 3^1.0(0.0(5.0(0.0(1.0(3.0(x1))))))
   3^1.0(2.0(3.0(5.0(5.0(2.0(3.0(x1))))))) -> 0^1.0(5.0(0.0(1.0(3.0(x1)))))
   0^1.0(2.0(2.0(5.0(5.1(4.0(1.0(x1))))))) -> 0^1.0(5.1(4.1(4.0(3.0(1.0(2.0(3.0(x1))))))))
   0^1.0(2.0(2.0(5.0(5.1(4.0(1.0(x1))))))) -> 5^1.1(4.1(4.0(3.0(1.0(2.0(3.0(x1)))))))
   0^1.0(2.0(2.0(5.0(5.1(4.0(1.0(x1))))))) -> 4^1.0(3.0(1.0(2.0(3.0(x1)))))
   0^1.0(2.0(2.0(5.0(5.1(4.0(1.0(x1))))))) -> 3^1.0(1.0(2.0(3.0(x1))))
   3^1.0(2.0(3.0(5.0(5.0(2.0(3.0(x1))))))) -> 5^1.0(0.0(1.0(3.0(x1))))
   3^1.0(2.0(3.0(5.0(5.0(2.0(3.0(x1))))))) -> 0^1.0(1.0(3.0(x1)))
   0^1.0(2.0(2.0(5.0(5.1(4.0(1.0(x1))))))) -> 1^1.0(2.0(3.0(x1)))
   1^1.0(5.0(3.0(1.0(0.0(2.0(x1)))))) -> 0^1.0(x1)
   0^1.0(2.0(1.1(4.0(5.0(x1))))) -> 0^1.0(x1)
   0^1.0(2.0(2.0(5.0(5.1(4.0(1.0(x1))))))) -> 2^1.0(3.0(x1))
   2^1.0(2.0(2.0(3.0(x1)))) -> 4^1.0(2.0(3.0(0.0(x1))))
   2^1.0(2.0(2.0(3.0(x1)))) -> 2^1.0(3.0(0.0(x1)))
   2^1.0(2.0(2.0(3.0(x1)))) -> 3^1.0(0.0(x1))
   3^1.0(2.0(3.0(5.0(5.0(2.0(3.0(x1))))))) -> 1^1.0(3.0(x1))
   1^1.0(0.0(0.0(5.0(5.0(2.0(x1)))))) -> 4^1.0(x1)
   4^1.0(1.0(0.0(0.0(0.1(4.0(x1)))))) -> 3^1.0(0.0(3.0(2.0(x1))))
   4^1.0(1.0(0.0(0.0(0.1(4.0(x1)))))) -> 0^1.0(3.0(2.0(x1)))
   0^1.0(2.0(2.0(5.0(5.1(4.0(1.0(x1))))))) -> 3^1.0(x1)
   3^1.0(5.0(1.1(4.0(0.0(3.0(0.0(x1))))))) -> 0^1.0(0.0(x1))
   0^1.0(5.0(2.0(0.0(5.1(4.0(2.0(x1))))))) -> 4^1.0(x1)
   4^1.0(1.0(0.0(0.0(0.1(4.0(x1)))))) -> 3^1.0(2.0(x1))
   4^1.0(1.0(0.0(0.0(0.1(4.0(x1)))))) -> 2^1.0(x1)
   2^1.0(2.0(2.0(3.0(x1)))) -> 0^1.0(x1)
   0^1.0(5.0(2.0(2.0(0.1(4.0(2.0(x1))))))) -> 4^1.0(5.1(4.0(0.0(3.0(1.0(x1))))))
   0^1.0(5.0(2.0(2.0(0.1(4.0(2.0(x1))))))) -> 5^1.1(4.0(0.0(3.0(1.0(x1)))))
   0^1.0(5.0(2.0(2.0(0.1(4.0(2.0(x1))))))) -> 4^1.0(0.0(3.0(1.0(x1))))
   0^1.0(5.0(2.0(2.0(0.1(4.0(2.0(x1))))))) -> 0^1.0(3.0(1.0(x1)))
   0^1.0(5.0(2.0(5.0(2.0(3.0(5.0(x1))))))) -> 4^1.0(5.0(x1))
   0^1.0(5.0(2.0(5.0(2.0(3.0(5.1(x1))))))) -> 4^1.0(5.1(x1))
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.0(x1))))))) -> 0^1.0(3.0(0.0(1.0(3.0(1.0(5.0(3.0(5.0(0.0(x1))))))))))
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.0(x1))))))) -> 3^1.0(0.0(1.0(3.0(1.0(5.0(3.0(5.0(0.0(x1)))))))))
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.0(x1))))))) -> 0^1.0(1.0(3.0(1.0(5.0(3.0(5.0(0.0(x1))))))))
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.0(x1))))))) -> 1^1.0(3.0(1.0(5.0(3.0(5.0(0.0(x1)))))))
   1^1.0(3.0(0.1(4.0(0.0(3.0(x1)))))) -> 1^1.0(3.0(0.0(1.0(0.0(3.0(5.1(4.1(4.1(4.0(x1))))))))))
   1^1.0(3.0(0.1(4.0(0.0(3.0(x1)))))) -> 3^1.0(0.0(1.0(0.0(3.0(5.1(4.1(4.1(4.0(x1)))))))))
   1^1.0(3.0(0.1(4.0(0.0(3.1(x1)))))) -> 3^1.0(0.0(1.0(0.0(3.0(5.1(4.1(4.1(4.1(x1)))))))))
   1^1.0(3.0(0.1(4.0(0.0(3.0(x1)))))) -> 0^1.0(1.0(0.0(3.0(5.1(4.1(4.1(4.0(x1))))))))
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.0(x1))))))) -> 3^1.0(1.0(5.0(3.0(5.0(0.0(x1))))))
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.0(x1))))))) -> 1^1.0(5.0(3.0(5.0(0.0(x1)))))
   1^1.0(3.0(0.1(4.0(0.0(3.1(x1)))))) -> 1^1.0(3.0(0.0(1.0(0.0(3.0(5.1(4.1(4.1(4.1(x1))))))))))
   1^1.0(3.0(0.1(4.0(0.0(3.1(x1)))))) -> 0^1.0(1.0(0.0(3.0(5.1(4.1(4.1(4.1(x1))))))))
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.0(x1))))))) -> 5^1.0(3.0(5.0(0.0(x1))))
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.0(x1))))))) -> 3^1.0(5.0(0.0(x1)))
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.0(x1))))))) -> 5^1.0(0.0(x1))
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.0(x1))))))) -> 0^1.0(x1)
   0^1.0(5.0(2.0(2.0(0.1(4.0(2.0(x1))))))) -> 3^1.0(1.0(x1))
   3^1.0(1.0(2.0(0.1(4.0(5.0(1.0(x1))))))) -> 3^1.0(5.0(1.0(1.0(0.0(x1)))))
   3^1.0(1.0(2.0(0.1(4.0(5.0(1.0(x1))))))) -> 5^1.0(1.0(1.0(0.0(x1))))
   3^1.0(1.0(2.0(0.1(4.0(5.0(1.0(x1))))))) -> 1^1.0(1.0(0.0(x1)))
   1^1.0(3.0(0.1(4.0(0.0(3.0(x1)))))) -> 1^1.0(0.0(3.0(5.1(4.1(4.1(4.0(x1)))))))
   1^1.0(3.0(0.1(4.0(0.0(3.0(x1)))))) -> 0^1.0(3.0(5.1(4.1(4.1(4.0(x1))))))
   0^1.0(1.0(1.0(2.0(5.0(5.0(5.0(x1))))))) -> 4^1.0(x1)
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.1(x1))))))) -> 1^1.0(5.0(0.1(x1)))
   0^1.0(0.0(2.0(2.0(5.0(5.0(5.0(x1))))))) -> 4^1.0(1.0(x1))
   0^1.0(0.0(2.0(2.0(5.0(5.0(5.0(x1))))))) -> 1^1.0(x1)
   1^1.0(3.0(0.1(4.0(0.0(3.1(x1)))))) -> 1^1.0(0.0(3.0(5.1(4.1(4.1(4.1(x1)))))))
   1^1.0(3.0(0.1(4.0(0.0(3.1(x1)))))) -> 0^1.0(3.0(5.1(4.1(4.1(4.1(x1))))))
   1^1.0(3.0(0.1(4.0(0.0(3.0(x1)))))) -> 3^1.0(5.1(4.1(4.1(4.0(x1)))))
   1^1.0(3.0(0.1(4.0(0.0(3.1(x1)))))) -> 3^1.0(5.1(4.1(4.1(4.1(x1)))))
   1^1.0(3.0(0.1(4.0(0.0(3.0(x1)))))) -> 5^1.1(4.1(4.1(4.0(x1))))
   1^1.0(3.0(0.1(4.0(0.0(3.1(x1)))))) -> 5^1.1(4.1(4.1(4.1(x1))))
   1^1.0(3.0(0.1(4.0(0.0(3.0(x1)))))) -> 4^1.0(x1)
   3^1.0(1.0(2.0(0.1(4.0(5.0(1.0(x1))))))) -> 1^1.0(0.0(x1))
   3^1.0(1.0(2.0(0.1(4.0(5.0(1.0(x1))))))) -> 0^1.0(x1)
   0^1.0(5.0(2.0(2.0(0.1(4.0(2.0(x1))))))) -> 1^1.0(x1)
   2^1.0(5.1(4.0(2.0(0.0(x1))))) -> 4^1.0(3.0(0.0(x1)))
   2^1.0(5.1(4.0(2.0(0.0(x1))))) -> 3^1.0(0.0(x1))
   2^1.0(2.0(1.1(4.0(2.0(3.0(x1)))))) -> 4^1.0(5.1(4.1(4.1(4.0(x1)))))
   2^1.0(2.0(1.1(4.0(2.0(3.1(x1)))))) -> 4^1.0(5.1(4.1(4.1(4.1(x1)))))
   2^1.0(2.0(1.1(4.0(2.0(3.0(x1)))))) -> 5^1.1(4.1(4.1(4.0(x1))))
   2^1.0(2.0(1.1(4.0(2.0(3.1(x1)))))) -> 5^1.1(4.1(4.1(4.1(x1))))
   2^1.0(2.0(1.1(4.0(2.0(3.0(x1)))))) -> 4^1.0(x1)
   2^1.0(2.0(0.0(5.0(5.0(5.0(x1)))))) -> 4^1.0(2.0(x1))
   2^1.0(2.0(0.0(5.0(5.0(5.0(x1)))))) -> 2^1.0(x1)
   2^1.0(2.0(5.1(4.0(3.1(4.0(0.0(x1))))))) -> 4^1.0(3.0(5.1(4.0(0.0(0.0(x1))))))
   2^1.0(2.0(5.1(4.0(3.1(4.0(0.0(x1))))))) -> 3^1.0(5.1(4.0(0.0(0.0(x1)))))
   2^1.0(2.0(5.1(4.0(3.1(4.0(0.0(x1))))))) -> 5^1.1(4.0(0.0(0.0(x1))))
   2^1.0(2.0(5.1(4.0(3.1(4.0(0.0(x1))))))) -> 4^1.0(0.0(0.0(x1)))
   2^1.0(2.0(5.1(4.0(3.1(4.0(0.0(x1))))))) -> 0^1.0(0.0(x1))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.0(x1))))))) -> 5^1.0(0.0(5.0(3.0(2.0(3.0(1.0(3.0(5.1(4.0(x1))))))))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.1(x1))))))) -> 5^1.0(0.0(5.0(3.0(2.0(3.0(1.0(3.0(5.1(4.1(x1))))))))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.0(x1))))))) -> 0^1.0(5.0(3.0(2.0(3.0(1.0(3.0(5.1(4.0(x1)))))))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.1(x1))))))) -> 0^1.0(5.0(3.0(2.0(3.0(1.0(3.0(5.1(4.1(x1)))))))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.0(x1))))))) -> 5^1.0(3.0(2.0(3.0(1.0(3.0(5.1(4.0(x1))))))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.1(x1))))))) -> 5^1.0(3.0(2.0(3.0(1.0(3.0(5.1(4.1(x1))))))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.0(x1))))))) -> 3^1.0(2.0(3.0(1.0(3.0(5.1(4.0(x1)))))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.1(x1))))))) -> 3^1.0(2.0(3.0(1.0(3.0(5.1(4.1(x1)))))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.0(x1))))))) -> 2^1.0(3.0(1.0(3.0(5.1(4.0(x1))))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.0(x1))))))) -> 3^1.0(1.0(3.0(5.1(4.0(x1)))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.1(x1))))))) -> 3^1.0(1.0(3.0(5.1(4.1(x1)))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.0(x1))))))) -> 1^1.0(3.0(5.1(4.0(x1))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.1(x1))))))) -> 1^1.0(3.0(5.1(4.1(x1))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.0(x1))))))) -> 3^1.0(5.1(4.0(x1)))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.1(x1))))))) -> 3^1.0(5.1(4.1(x1)))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.0(x1))))))) -> 5^1.1(4.0(x1))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.1(x1))))))) -> 5^1.1(4.1(x1))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.0(x1))))))) -> 4^1.0(x1)
   2^1.0(2.0(2.0(0.0(5.0(3.0(3.0(x1))))))) -> 4^1.0(x1)
   2^1.0(1.0(1.0(2.0(5.1(4.0(3.0(x1))))))) -> 4^1.0(5.0(3.0(5.1(4.0(3.0(x1))))))
   2^1.0(1.0(1.0(2.0(5.1(4.0(3.0(x1))))))) -> 5^1.0(3.0(5.1(4.0(3.0(x1)))))
   2^1.0(1.0(1.0(2.0(5.1(4.0(3.0(x1))))))) -> 3^1.0(5.1(4.0(3.0(x1))))
   2^1.0(3.0(3.0(2.0(5.0(2.0(5.0(x1))))))) -> 4^1.0(x1)
   2^1.0(0.0(3.0(2.0(2.0(3.0(5.0(x1))))))) -> 4^1.0(5.1(4.0(x1)))
   2^1.0(0.0(3.0(2.0(2.0(3.0(5.1(x1))))))) -> 4^1.0(5.1(4.1(x1)))
   2^1.0(0.0(3.0(2.0(2.0(3.0(5.0(x1))))))) -> 5^1.1(4.0(x1))
   2^1.0(0.0(3.0(2.0(2.0(3.0(5.1(x1))))))) -> 5^1.1(4.1(x1))
   2^1.0(0.0(3.0(2.0(2.0(3.0(5.0(x1))))))) -> 4^1.0(x1)
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.1(x1))))))) -> 2^1.0(3.0(1.0(3.0(5.1(4.1(x1))))))
   2^1.0(2.0(1.1(4.0(2.0(1.1(4.0(x1))))))) -> 4^1.0(1.0(1.0(3.0(5.1(4.0(3.0(x1)))))))
   2^1.0(2.0(1.1(4.0(2.0(1.1(4.0(x1))))))) -> 1^1.0(1.0(3.0(5.1(4.0(3.0(x1))))))
   2^1.0(2.0(1.1(4.0(2.0(1.1(4.0(x1))))))) -> 1^1.0(3.0(5.1(4.0(3.0(x1)))))
   2^1.0(2.0(1.1(4.0(2.0(1.1(4.0(x1))))))) -> 3^1.0(5.1(4.0(3.0(x1))))
   2^1.0(2.0(1.1(4.0(2.0(1.1(4.0(x1))))))) -> 5^1.1(4.0(3.0(x1)))
   2^1.0(2.0(1.1(4.0(2.0(1.1(4.0(x1))))))) -> 4^1.0(3.0(x1))
   2^1.0(2.0(1.1(4.0(2.0(1.1(4.0(x1))))))) -> 3^1.0(x1)

The TRS R consists of the following rules:

   2.0(1.0(0.0(0.0(x1)))) -> 3.0(0.0(0.0(3.0(5.1(4.1(4.0(5.1(4.0(3.0(x1))))))))))
   2.0(1.0(0.0(0.1(x1)))) -> 3.0(0.0(0.0(3.0(5.1(4.1(4.0(5.1(4.0(3.1(x1))))))))))
   2.0(2.0(2.0(3.0(x1)))) -> 3.0(5.0(3.0(1.1(4.1(4.1(4.0(2.0(3.0(0.0(x1))))))))))
   2.0(2.0(2.0(3.1(x1)))) -> 3.0(5.0(3.0(1.1(4.1(4.1(4.0(2.0(3.0(0.1(x1))))))))))
   2.0(5.1(4.0(2.0(0.0(x1))))) -> 3.0(1.0(3.0(0.0(0.0(0.0(0.1(4.0(3.0(0.0(x1))))))))))
   2.0(5.1(4.0(2.0(0.1(x1))))) -> 3.0(1.0(3.0(0.0(0.0(0.0(0.1(4.0(3.0(0.1(x1))))))))))
   1.0(5.0(0.1(4.0(1.0(x1))))) -> 0.0(3.0(3.0(3.1(4.0(5.1(4.1(4.1(4.0(5.0(x1))))))))))
   1.0(5.0(0.1(4.0(1.1(x1))))) -> 0.0(3.0(3.0(3.1(4.0(5.1(4.1(4.1(4.0(5.1(x1))))))))))
   0.0(2.0(1.1(4.0(5.0(x1))))) -> 0.0(3.0(1.1(4.0(0.0(3.1(4.1(4.0(0.0(0.0(x1))))))))))
   0.0(2.0(1.1(4.0(5.1(x1))))) -> 0.0(3.0(1.1(4.0(0.0(3.1(4.1(4.0(0.0(0.1(x1))))))))))
   5.0(3.0(5.0(2.0(3.0(0.0(x1)))))) -> 5.0(3.0(3.1(4.0(3.1(4.1(4.0(3.0(1.0(3.0(x1))))))))))
   5.0(3.0(5.0(2.0(3.0(0.1(x1)))))) -> 5.0(3.0(3.1(4.0(3.1(4.1(4.0(3.0(1.0(3.1(x1))))))))))
   0.0(5.0(1.0(1.0(5.0(0.0(x1)))))) -> 0.0(3.0(1.0(3.0(3.0(1.0(3.0(0.0(0.0(0.0(x1))))))))))
   0.0(5.0(1.0(1.0(5.0(0.1(x1)))))) -> 0.0(3.0(1.0(3.0(3.0(1.0(3.0(0.0(0.0(0.1(x1))))))))))
   3.0(2.0(2.0(5.0(2.0(1.0(x1)))))) -> 3.0(3.1(4.0(3.1(4.0(5.1(4.0(2.1(4.0(0.0(x1))))))))))
   3.0(2.0(2.0(5.0(2.0(1.1(x1)))))) -> 3.0(3.1(4.0(3.1(4.0(5.1(4.0(2.1(4.0(0.1(x1))))))))))
   3.0(2.0(1.0(0.0(0.0(2.0(x1)))))) -> 3.1(4.1(4.1(4.0(3.0(1.0(3.0(3.0(3.0(1.0(x1))))))))))
   3.0(2.0(1.0(0.0(0.0(2.1(x1)))))) -> 3.1(4.1(4.1(4.0(3.0(1.0(3.0(3.0(3.0(1.1(x1))))))))))
   1.0(5.0(3.0(1.0(0.0(2.0(x1)))))) -> 1.0(0.0(3.0(5.1(4.0(5.1(4.0(3.0(0.0(0.0(x1))))))))))
   1.0(5.0(3.0(1.0(0.0(2.1(x1)))))) -> 1.0(0.0(3.0(5.1(4.0(5.1(4.0(3.0(0.0(0.1(x1))))))))))
   1.0(0.0(0.0(5.0(5.0(2.0(x1)))))) -> 0.0(3.0(5.0(1.0(3.1(4.0(3.0(0.0(1.1(4.0(x1))))))))))
   1.0(0.0(0.0(5.0(5.0(2.1(x1)))))) -> 0.0(3.0(5.0(1.0(3.1(4.0(3.0(0.0(1.1(4.1(x1))))))))))
   1.0(3.0(0.1(4.0(0.0(3.0(x1)))))) -> 1.0(3.0(0.0(1.0(0.0(3.0(5.1(4.1(4.1(4.0(x1))))))))))
   1.0(3.0(0.1(4.0(0.0(3.1(x1)))))) -> 1.0(3.0(0.0(1.0(0.0(3.0(5.1(4.1(4.1(4.1(x1))))))))))
   0.0(5.0(5.0(1.0(2.0(3.0(x1)))))) -> 0.0(3.0(3.1(4.0(0.1(4.0(3.0(3.0(1.1(4.0(x1))))))))))
   0.0(5.0(5.0(1.0(2.0(3.1(x1)))))) -> 0.0(3.0(3.1(4.0(0.1(4.0(3.0(3.0(1.1(4.1(x1))))))))))
   2.0(2.0(1.1(4.0(2.0(3.0(x1)))))) -> 2.1(4.0(3.0(0.0(2.1(4.0(5.1(4.1(4.1(4.0(x1))))))))))
   2.0(2.0(1.1(4.0(2.0(3.1(x1)))))) -> 2.1(4.0(3.0(0.0(2.1(4.0(5.1(4.1(4.1(4.1(x1))))))))))
   0.0(2.0(2.0(5.0(2.0(3.0(x1)))))) -> 0.0(3.0(5.0(3.0(1.0(2.0(0.1(4.1(4.0(3.0(x1))))))))))
   0.0(2.0(2.0(5.0(2.0(3.1(x1)))))) -> 0.0(3.0(5.0(3.0(1.0(2.0(0.1(4.1(4.0(3.1(x1))))))))))
   3.0(2.0(2.0(1.1(4.0(3.0(x1)))))) -> 5.1(4.1(4.1(4.1(4.1(4.0(1.1(4.0(5.0(3.0(x1))))))))))
   3.0(2.0(2.0(1.1(4.0(3.1(x1)))))) -> 5.1(4.1(4.1(4.1(4.1(4.0(1.1(4.0(5.0(3.1(x1))))))))))
   5.0(3.0(0.0(2.0(5.0(3.0(x1)))))) -> 5.0(2.1(4.1(4.0(3.1(4.0(3.1(4.0(3.0(3.0(x1))))))))))
   5.0(3.0(0.0(2.0(5.0(3.1(x1)))))) -> 5.0(2.1(4.1(4.0(3.1(4.0(3.1(4.0(3.0(3.1(x1))))))))))
   4.0(1.0(0.0(0.0(0.1(4.0(x1)))))) -> 4.0(1.0(3.0(1.1(4.0(3.0(3.0(0.0(3.0(2.0(x1))))))))))
   4.0(1.0(0.0(0.0(0.1(4.1(x1)))))) -> 4.0(1.0(3.0(1.1(4.0(3.0(3.0(0.0(3.0(2.1(x1))))))))))
   4.0(2.0(3.0(1.0(0.1(4.0(x1)))))) -> 4.0(1.1(4.0(1.0(3.0(3.0(1.1(4.0(1.1(4.0(x1))))))))))
   4.0(2.0(3.0(1.0(0.1(4.1(x1)))))) -> 4.0(1.1(4.0(1.0(3.0(3.0(1.1(4.0(1.1(4.1(x1))))))))))
   4.1(4.0(5.0(0.0(3.1(4.0(x1)))))) -> 4.0(2.1(4.1(4.0(1.0(3.0(5.1(4.0(3.1(4.0(x1))))))))))
   4.1(4.0(5.0(0.0(3.1(4.1(x1)))))) -> 4.0(2.1(4.1(4.0(1.0(3.0(5.1(4.0(3.1(4.1(x1))))))))))
   0.0(5.0(3.0(2.0(1.0(5.0(x1)))))) -> 0.0(3.0(3.1(4.1(4.0(2.1(4.1(4.0(2.0(2.0(x1))))))))))
   0.0(5.0(3.0(2.0(1.0(5.1(x1)))))) -> 0.0(3.0(3.1(4.1(4.0(2.1(4.1(4.0(2.0(2.1(x1))))))))))
   3.0(3.0(1.0(0.0(3.0(5.0(x1)))))) -> 3.0(3.0(1.0(3.1(4.1(4.0(1.1(4.1(4.0(2.0(x1))))))))))
   3.0(3.0(1.0(0.0(3.0(5.1(x1)))))) -> 3.0(3.0(1.0(3.1(4.1(4.0(1.1(4.1(4.0(2.1(x1))))))))))
   3.0(5.0(5.0(5.1(4.0(5.0(x1)))))) -> 3.0(0.1(4.0(3.1(4.0(2.1(4.1(4.0(5.0(3.0(x1))))))))))
   3.0(5.0(5.0(5.1(4.0(5.1(x1)))))) -> 3.0(0.1(4.0(3.1(4.0(2.1(4.1(4.0(5.0(3.1(x1))))))))))
   3.0(5.0(1.0(0.0(5.0(5.0(x1)))))) -> 3.1(4.0(5.0(0.0(3.0(1.1(4.1(4.1(4.0(5.0(x1))))))))))
   3.0(5.0(1.0(0.0(5.0(5.1(x1)))))) -> 3.1(4.0(5.0(0.0(3.0(1.1(4.1(4.1(4.0(5.1(x1))))))))))
   2.0(2.0(0.0(5.0(5.0(5.0(x1)))))) -> 3.1(4.1(4.0(3.1(4.0(3.1(4.0(1.1(4.0(2.0(x1))))))))))
   2.0(2.0(0.0(5.0(5.0(5.1(x1)))))) -> 3.1(4.1(4.0(3.1(4.0(3.1(4.0(1.1(4.0(2.1(x1))))))))))
   3.0(2.0(5.0(5.0(5.0(5.0(x1)))))) -> 3.1(4.1(4.0(2.1(4.0(1.1(4.0(0.0(3.0(3.0(x1))))))))))
   3.0(2.0(5.0(5.0(5.0(5.1(x1)))))) -> 3.1(4.1(4.0(2.1(4.0(1.1(4.0(0.0(3.0(3.1(x1))))))))))
   3.0(2.0(2.0(5.1(4.0(2.0(0.0(x1))))))) -> 3.0(5.0(1.0(3.0(1.1(4.1(4.0(1.0(5.0(0.0(x1))))))))))
   3.0(2.0(2.0(5.1(4.0(2.0(0.1(x1))))))) -> 3.0(5.0(1.0(3.0(1.1(4.1(4.0(1.0(5.0(0.1(x1))))))))))
   3.0(5.0(1.1(4.0(0.0(3.0(0.0(x1))))))) -> 5.0(0.0(0.0(3.1(4.1(4.0(3.0(3.0(0.0(0.0(x1))))))))))
   3.0(5.0(1.1(4.0(0.0(3.0(0.1(x1))))))) -> 5.0(0.0(0.0(3.1(4.1(4.0(3.0(3.0(0.0(0.1(x1))))))))))
   2.0(2.0(5.1(4.0(3.1(4.0(0.0(x1))))))) -> 2.0(3.0(3.0(2.1(4.0(3.0(5.1(4.0(0.0(0.0(x1))))))))))
   2.0(2.0(5.1(4.0(3.1(4.0(0.1(x1))))))) -> 2.0(3.0(3.0(2.1(4.0(3.0(5.1(4.0(0.0(0.1(x1))))))))))
   3.0(2.0(2.0(0.0(2.0(3.0(1.0(x1))))))) -> 3.0(2.0(1.0(1.0(1.0(5.0(3.1(4.0(3.0(1.0(x1))))))))))
   3.0(2.0(2.0(0.0(2.0(3.0(1.1(x1))))))) -> 3.0(2.0(1.0(1.0(1.0(5.0(3.1(4.0(3.0(1.1(x1))))))))))
   0.0(2.0(2.0(5.0(5.1(4.0(1.0(x1))))))) -> 0.0(3.0(0.0(5.1(4.1(4.0(3.0(1.0(2.0(3.0(x1))))))))))
   0.0(2.0(2.0(5.0(5.1(4.0(1.1(x1))))))) -> 0.0(3.0(0.0(5.1(4.1(4.0(3.0(1.0(2.0(3.1(x1))))))))))
   4.0(2.0(2.0(2.0(0.0(5.0(1.0(x1))))))) -> 4.0(1.0(3.0(3.1(4.0(5.0(3.0(1.0(5.0(0.0(x1))))))))))
   4.0(2.0(2.0(2.0(0.0(5.0(1.1(x1))))))) -> 4.0(1.0(3.0(3.1(4.0(5.0(3.0(1.0(5.0(0.1(x1))))))))))
   3.0(1.0(2.0(0.1(4.0(5.0(1.0(x1))))))) -> 3.0(0.1(4.1(4.0(3.0(3.0(5.0(1.0(1.0(0.0(x1))))))))))
   3.0(1.0(2.0(0.1(4.0(5.0(1.1(x1))))))) -> 3.0(0.1(4.1(4.0(3.0(3.0(5.0(1.0(1.0(0.1(x1))))))))))
   5.0(0.0(2.0(5.0(1.0(0.0(2.0(x1))))))) -> 5.0(2.0(0.0(3.0(1.0(3.0(0.0(0.1(4.0(3.0(x1))))))))))
   5.0(0.0(2.0(5.0(1.0(0.0(2.1(x1))))))) -> 5.0(2.0(0.0(3.0(1.0(3.0(0.0(0.1(4.0(3.1(x1))))))))))
   4.0(2.0(2.0(0.0(0.0(2.0(2.0(x1))))))) -> 4.1(4.1(4.1(4.0(5.1(4.1(4.0(1.0(1.0(2.0(x1))))))))))
   4.0(2.0(2.0(0.0(0.0(2.0(2.1(x1))))))) -> 4.1(4.1(4.1(4.0(5.1(4.1(4.0(1.0(1.0(2.1(x1))))))))))
   3.0(1.0(0.0(5.0(0.0(3.0(2.0(x1))))))) -> 3.0(1.0(3.0(0.0(1.0(5.0(0.0(1.0(3.0(2.0(x1))))))))))
   3.0(1.0(0.0(5.0(0.0(3.0(2.1(x1))))))) -> 3.0(1.0(3.0(0.0(1.0(5.0(0.0(1.0(3.0(2.1(x1))))))))))
   0.0(5.0(2.0(2.0(0.1(4.0(2.0(x1))))))) -> 0.0(3.0(0.1(4.1(4.0(5.1(4.0(0.0(3.0(1.0(x1))))))))))
   0.0(5.0(2.0(2.0(0.1(4.0(2.1(x1))))))) -> 0.0(3.0(0.1(4.1(4.0(5.1(4.0(0.0(3.0(1.1(x1))))))))))
   0.0(5.0(2.0(0.0(5.1(4.0(2.0(x1))))))) -> 1.0(1.0(5.0(0.1(4.0(3.0(1.0(3.1(4.1(4.0(x1))))))))))
   0.0(5.0(2.0(0.0(5.1(4.0(2.1(x1))))))) -> 1.0(1.0(5.0(0.1(4.0(3.0(1.0(3.1(4.1(4.1(x1))))))))))
   4.0(2.0(5.0(2.0(2.0(5.0(2.0(x1))))))) -> 4.1(4.0(0.1(4.0(0.0(3.0(1.1(4.0(3.1(4.0(x1))))))))))
   4.0(2.0(5.0(2.0(2.0(5.0(2.1(x1))))))) -> 4.1(4.0(0.1(4.0(0.0(3.0(1.1(4.0(3.1(4.1(x1))))))))))
   2.0(2.0(2.0(2.0(0.0(2.0(3.0(x1))))))) -> 5.0(0.0(5.0(3.0(2.0(3.0(1.0(3.0(5.1(4.0(x1))))))))))
   2.0(2.0(2.0(2.0(0.0(2.0(3.1(x1))))))) -> 5.0(0.0(5.0(3.0(2.0(3.0(1.0(3.0(5.1(4.1(x1))))))))))
   5.1(4.0(2.0(5.0(5.0(2.0(3.0(x1))))))) -> 5.1(4.0(3.1(4.0(2.0(3.0(0.0(0.0(0.0(3.0(x1))))))))))
   5.1(4.0(2.0(5.0(5.0(2.0(3.1(x1))))))) -> 5.1(4.0(3.1(4.0(2.0(3.0(0.0(0.0(0.0(3.1(x1))))))))))
   3.0(2.0(3.0(5.0(5.0(2.0(3.0(x1))))))) -> 3.0(3.1(4.0(2.0(3.0(0.0(5.0(0.0(1.0(3.0(x1))))))))))
   3.0(2.0(3.0(5.0(5.0(2.0(3.1(x1))))))) -> 3.0(3.1(4.0(2.0(3.0(0.0(5.0(0.0(1.0(3.1(x1))))))))))
   2.0(2.0(2.0(0.0(5.0(3.0(3.0(x1))))))) -> 5.0(3.0(5.0(3.0(3.1(4.0(0.0(3.1(4.1(4.0(x1))))))))))
   2.0(2.0(2.0(0.0(5.0(3.0(3.1(x1))))))) -> 5.0(3.0(5.0(3.0(3.1(4.0(0.0(3.1(4.1(4.1(x1))))))))))
   2.0(1.0(1.0(2.0(5.1(4.0(3.0(x1))))))) -> 5.0(0.0(2.1(4.1(4.0(5.0(3.0(5.1(4.0(3.0(x1))))))))))
   2.0(1.0(1.0(2.0(5.1(4.0(3.1(x1))))))) -> 5.0(0.0(2.1(4.1(4.0(5.0(3.0(5.1(4.0(3.1(x1))))))))))
   4.0(5.0(1.0(3.0(3.0(0.1(4.0(x1))))))) -> 4.1(4.1(4.0(3.0(0.0(0.0(0.0(1.0(3.0(1.0(x1))))))))))
   4.0(5.0(1.0(3.0(3.0(0.1(4.1(x1))))))) -> 4.1(4.1(4.0(3.0(0.0(0.0(0.0(1.0(3.0(1.1(x1))))))))))
   2.0(2.0(1.1(4.0(2.0(1.1(4.0(x1))))))) -> 5.0(0.1(4.1(4.0(1.0(1.0(3.0(5.1(4.0(3.0(x1))))))))))
   2.0(2.0(1.1(4.0(2.0(1.1(4.1(x1))))))) -> 5.0(0.1(4.1(4.0(1.0(1.0(3.0(5.1(4.0(3.1(x1))))))))))
   2.0(3.0(3.0(2.0(5.0(2.0(5.0(x1))))))) -> 3.0(5.0(2.0(3.0(1.0(3.0(0.0(1.0(3.1(4.0(x1))))))))))
   2.0(3.0(3.0(2.0(5.0(2.0(5.1(x1))))))) -> 3.0(5.0(2.0(3.0(1.0(3.0(0.0(1.0(3.1(4.1(x1))))))))))
   2.0(0.0(3.0(2.0(2.0(3.0(5.0(x1))))))) -> 2.0(0.0(5.0(0.0(1.0(3.0(3.1(4.0(5.1(4.0(x1))))))))))
   2.0(0.0(3.0(2.0(2.0(3.0(5.1(x1))))))) -> 2.0(0.0(5.0(0.0(1.0(3.0(3.1(4.0(5.1(4.1(x1))))))))))
   0.0(5.0(2.0(5.0(2.0(3.0(5.0(x1))))))) -> 1.0(3.0(0.0(3.1(4.1(4.0(2.0(2.1(4.0(5.0(x1))))))))))
   0.0(5.0(2.0(5.0(2.0(3.0(5.1(x1))))))) -> 1.0(3.0(0.0(3.1(4.1(4.0(2.0(2.1(4.0(5.1(x1))))))))))
   0.0(2.0(2.0(2.0(2.0(5.0(5.0(x1))))))) -> 0.0(3.0(0.0(1.0(3.0(1.0(5.0(3.0(5.0(0.0(x1))))))))))
   0.0(2.0(2.0(2.0(2.0(5.0(5.1(x1))))))) -> 0.0(3.0(0.0(1.0(3.0(1.0(5.0(3.0(5.0(0.1(x1))))))))))
   0.0(1.0(1.0(2.0(5.0(5.0(5.0(x1))))))) -> 1.0(3.0(3.0(2.1(4.0(5.1(4.0(2.0(2.1(4.0(x1))))))))))
   0.0(1.0(1.0(2.0(5.0(5.0(5.1(x1))))))) -> 1.0(3.0(3.0(2.1(4.0(5.1(4.0(2.0(2.1(4.1(x1))))))))))
   0.0(0.0(2.0(2.0(5.0(5.0(5.0(x1))))))) -> 1.0(3.0(3.0(2.1(4.0(3.0(3.0(0.1(4.0(1.0(x1))))))))))
   0.0(0.0(2.0(2.0(5.0(5.0(5.1(x1))))))) -> 1.0(3.0(3.0(2.1(4.0(3.0(3.0(0.1(4.0(1.1(x1))))))))))

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

(9) MRRProof (EQUIVALENT)
By using the rule removal processor [LPAR04] with the following ordering, at least one Dependency Pair or term rewrite system rule of this QDP problem can be strictly oriented.

Strictly oriented dependency pairs:

   3^1.0(2.0(2.0(5.0(2.0(1.0(x1)))))) -> 4^1.0(0.0(x1))
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.0(x1))))))) -> 4^1.0(5.0(3.0(1.0(5.0(0.0(x1))))))
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.0(x1))))))) -> 5^1.0(3.0(1.0(5.0(0.0(x1)))))
   5^1.0(3.0(5.0(2.0(3.0(0.0(x1)))))) -> 4^1.0(3.0(1.0(3.0(x1))))
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.0(x1))))))) -> 3^1.0(1.0(5.0(0.0(x1))))
   3^1.0(2.0(2.0(5.0(2.0(1.0(x1)))))) -> 0^1.0(x1)
   0^1.0(2.0(1.1(4.0(5.0(x1))))) -> 4^1.0(0.0(0.0(x1)))
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.0(x1))))))) -> 1^1.0(5.0(0.0(x1)))
   1^1.0(5.0(0.1(4.0(1.0(x1))))) -> 4^1.0(5.1(4.1(4.1(4.0(5.0(x1))))))
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.0(x1))))))) -> 5^1.0(0.0(x1))
   5^1.0(3.0(5.0(2.0(3.0(0.0(x1)))))) -> 3^1.0(1.0(3.0(x1)))
   3^1.0(2.0(1.0(0.0(0.0(2.0(x1)))))) -> 4^1.0(3.0(1.0(3.0(3.0(3.0(1.0(x1)))))))
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.0(x1))))))) -> 0^1.0(x1)
   0^1.0(2.0(1.1(4.0(5.0(x1))))) -> 0^1.0(0.0(x1))
   0^1.0(5.0(1.0(1.0(5.0(0.0(x1)))))) -> 0^1.0(3.0(1.0(3.0(3.0(1.0(3.0(0.0(0.0(0.0(x1))))))))))
   0^1.0(5.0(1.0(1.0(5.0(0.0(x1)))))) -> 3^1.0(1.0(3.0(3.0(1.0(3.0(0.0(0.0(0.0(x1)))))))))
   3^1.0(2.0(1.0(0.0(0.0(2.0(x1)))))) -> 3^1.0(1.0(3.0(3.0(3.0(1.0(x1))))))
   3^1.0(2.0(1.0(0.0(0.0(2.0(x1)))))) -> 1^1.0(3.0(3.0(3.0(1.0(x1)))))
   1^1.0(5.0(0.1(4.0(1.1(x1))))) -> 4^1.0(5.1(4.1(4.1(4.0(5.1(x1))))))
   4^1.0(2.0(2.0(0.0(0.0(2.0(2.0(x1))))))) -> 4^1.0(5.1(4.1(4.0(1.0(1.0(2.0(x1)))))))
   4^1.0(2.0(2.0(0.0(0.0(2.0(2.0(x1))))))) -> 5^1.1(4.1(4.0(1.0(1.0(2.0(x1))))))
   5^1.1(4.0(2.0(5.0(5.0(2.0(3.0(x1))))))) -> 4^1.0(2.0(3.0(0.0(0.0(0.0(3.0(x1)))))))
   4^1.0(2.0(2.0(0.0(0.0(2.0(2.0(x1))))))) -> 4^1.0(1.0(1.0(2.0(x1))))
   4^1.0(2.0(2.0(0.0(0.0(2.0(2.0(x1))))))) -> 1^1.0(1.0(2.0(x1)))
   1^1.0(5.0(0.1(4.0(1.0(x1))))) -> 5^1.1(4.1(4.1(4.0(5.0(x1)))))
   5^1.1(4.0(2.0(5.0(5.0(2.0(3.0(x1))))))) -> 2^1.0(3.0(0.0(0.0(0.0(3.0(x1))))))
   3^1.0(2.0(1.0(0.0(0.0(2.0(x1)))))) -> 3^1.0(3.0(3.0(1.0(x1))))
   3^1.0(2.0(1.0(0.0(0.0(2.0(x1)))))) -> 3^1.0(3.0(1.0(x1)))
   3^1.0(2.0(1.0(0.0(0.0(2.0(x1)))))) -> 3^1.0(1.0(x1))
   3^1.0(2.0(1.0(0.0(0.0(2.0(x1)))))) -> 1^1.0(x1)
   1^1.0(5.0(0.1(4.0(1.1(x1))))) -> 5^1.1(4.1(4.1(4.0(5.1(x1)))))
   5^1.1(4.0(2.0(5.0(5.0(2.0(3.0(x1))))))) -> 3^1.0(0.0(0.0(0.0(3.0(x1)))))
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.1(x1))))))) -> 4^1.0(5.0(3.0(1.0(5.0(0.1(x1))))))
   4^1.0(2.0(2.0(0.0(0.0(2.0(2.0(x1))))))) -> 1^1.0(2.0(x1))
   1^1.0(5.0(0.1(4.0(1.0(x1))))) -> 4^1.0(5.0(x1))
   4^1.0(2.0(5.0(2.0(2.0(5.0(2.0(x1))))))) -> 4^1.0(x1)
   4^1.0(5.0(1.0(3.0(3.0(0.1(4.0(x1))))))) -> 4^1.0(3.0(0.0(0.0(0.0(1.0(3.0(1.0(x1))))))))
   4^1.0(5.0(1.0(3.0(3.0(0.1(4.0(x1))))))) -> 3^1.0(0.0(0.0(0.0(1.0(3.0(1.0(x1)))))))
   3^1.0(3.0(1.0(0.0(3.0(5.0(x1)))))) -> 2^1.0(x1)
   0^1.0(5.0(1.0(1.0(5.0(0.0(x1)))))) -> 1^1.0(3.0(3.0(1.0(3.0(0.0(0.0(0.0(x1))))))))
   1^1.0(5.0(0.1(4.0(1.1(x1))))) -> 4^1.0(5.1(x1))
   4^1.0(5.0(1.0(3.0(3.0(0.1(4.0(x1))))))) -> 0^1.0(0.0(0.0(1.0(3.0(1.0(x1))))))
   0^1.0(5.0(1.0(1.0(5.0(0.0(x1)))))) -> 3^1.0(3.0(1.0(3.0(0.0(0.0(0.0(x1)))))))
   3^1.0(5.0(5.0(5.1(4.0(5.0(x1)))))) -> 4^1.0(5.0(3.0(x1)))
   4^1.0(5.0(1.0(3.0(3.0(0.1(4.0(x1))))))) -> 0^1.0(0.0(1.0(3.0(1.0(x1)))))
   0^1.0(5.0(1.0(1.0(5.0(0.0(x1)))))) -> 3^1.0(1.0(3.0(0.0(0.0(0.0(x1))))))
   3^1.0(5.0(5.0(5.1(4.0(5.0(x1)))))) -> 5^1.0(3.0(x1))
   5^1.0(3.0(5.0(2.0(3.0(0.0(x1)))))) -> 1^1.0(3.0(x1))
   1^1.0(5.0(0.1(4.0(1.0(x1))))) -> 5^1.0(x1)
   5^1.0(3.0(5.0(2.0(3.0(0.0(x1)))))) -> 3^1.0(x1)
   3^1.0(2.0(2.0(1.1(4.0(3.0(x1)))))) -> 4^1.0(5.0(3.0(x1)))
   4^1.0(5.0(1.0(3.0(3.0(0.1(4.0(x1))))))) -> 0^1.0(1.0(3.0(1.0(x1))))
   0^1.0(5.0(1.0(1.0(5.0(0.0(x1)))))) -> 1^1.0(3.0(0.0(0.0(0.0(x1)))))
   1^1.0(5.0(0.1(4.0(1.1(x1))))) -> 5^1.1(x1)
   5^1.1(4.0(2.0(5.0(5.0(2.0(3.0(x1))))))) -> 0^1.0(0.0(0.0(3.0(x1))))
   0^1.0(5.0(1.0(1.0(5.0(0.0(x1)))))) -> 3^1.0(0.0(0.0(0.0(x1))))
   3^1.0(5.0(5.0(5.1(4.0(5.0(x1)))))) -> 3^1.0(x1)
   3^1.0(2.0(2.0(1.1(4.0(3.0(x1)))))) -> 5^1.0(3.0(x1))
   5^1.0(3.0(0.0(2.0(5.0(3.0(x1)))))) -> 4^1.0(3.0(3.0(x1)))
   4^1.0(5.0(1.0(3.0(3.0(0.1(4.0(x1))))))) -> 1^1.0(3.0(1.0(x1)))
   1^1.0(5.0(3.0(1.0(0.0(2.0(x1)))))) -> 1^1.0(0.0(3.0(5.1(4.0(5.1(4.0(3.0(0.0(0.0(x1))))))))))
   1^1.0(5.0(3.0(1.0(0.0(2.0(x1)))))) -> 0^1.0(3.0(5.1(4.0(5.1(4.0(3.0(0.0(0.0(x1)))))))))
   0^1.0(5.0(1.0(1.0(5.0(0.0(x1)))))) -> 0^1.0(0.0(0.0(x1)))
   0^1.0(5.0(1.0(1.0(5.0(0.0(x1)))))) -> 0^1.0(0.0(x1))
   0^1.0(5.0(5.0(1.0(2.0(3.0(x1)))))) -> 4^1.0(x1)
   3^1.0(5.0(1.0(0.0(5.0(5.0(x1)))))) -> 4^1.0(5.0(x1))
   4^1.0(5.0(1.0(3.0(3.0(0.1(4.0(x1))))))) -> 3^1.0(1.0(x1))
   3^1.0(5.0(1.0(0.0(5.0(5.1(x1)))))) -> 4^1.0(5.1(x1))
   4^1.0(5.0(1.0(3.0(3.0(0.1(4.0(x1))))))) -> 1^1.0(x1)
   1^1.0(5.0(3.0(1.0(0.0(2.0(x1)))))) -> 3^1.0(5.1(4.0(5.1(4.0(3.0(0.0(0.0(x1))))))))
   3^1.0(2.0(5.0(5.0(5.0(5.0(x1)))))) -> 4^1.0(0.0(3.0(3.0(x1))))
   3^1.0(2.0(5.0(5.0(5.0(5.0(x1)))))) -> 0^1.0(3.0(3.0(x1)))
   0^1.0(2.0(2.0(5.0(2.0(3.0(x1)))))) -> 0^1.0(3.0(5.0(3.0(1.0(2.0(0.1(4.1(4.0(3.0(x1))))))))))
   0^1.0(2.0(2.0(5.0(2.0(3.0(x1)))))) -> 3^1.0(5.0(3.0(1.0(2.0(0.1(4.1(4.0(3.0(x1)))))))))
   3^1.0(2.0(5.0(5.0(5.0(5.0(x1)))))) -> 3^1.0(3.0(x1))
   3^1.0(2.0(5.0(5.0(5.0(5.0(x1)))))) -> 3^1.0(x1)
   3^1.0(2.0(2.0(5.1(4.0(2.0(0.0(x1))))))) -> 4^1.0(1.0(5.0(0.0(x1))))
   3^1.0(2.0(2.0(5.1(4.0(2.0(0.1(x1))))))) -> 4^1.0(1.0(5.0(0.1(x1))))
   3^1.0(2.0(2.0(5.1(4.0(2.0(0.0(x1))))))) -> 1^1.0(5.0(0.0(x1)))
   1^1.0(5.0(3.0(1.0(0.0(2.0(x1)))))) -> 5^1.1(4.0(5.1(4.0(3.0(0.0(0.0(x1)))))))
   5^1.1(4.0(2.0(5.0(5.0(2.0(3.0(x1))))))) -> 0^1.0(0.0(3.0(x1)))
   0^1.0(2.0(2.0(5.0(2.0(3.0(x1)))))) -> 5^1.0(3.0(1.0(2.0(0.1(4.1(4.0(3.0(x1))))))))
   5^1.0(3.0(0.0(2.0(5.0(3.0(x1)))))) -> 3^1.0(3.0(x1))
   3^1.0(2.0(2.0(5.1(4.0(2.0(0.0(x1))))))) -> 5^1.0(0.0(x1))
   5^1.0(0.0(2.0(5.0(1.0(0.0(2.0(x1))))))) -> 4^1.0(3.0(x1))
   5^1.0(0.0(2.0(5.0(1.0(0.0(2.0(x1))))))) -> 3^1.0(x1)
   3^1.0(2.0(2.0(5.1(4.0(2.0(0.1(x1))))))) -> 1^1.0(5.0(0.1(x1)))
   3^1.0(5.0(1.1(4.0(0.0(3.0(0.0(x1))))))) -> 4^1.0(3.0(3.0(0.0(0.0(x1)))))
   3^1.0(5.0(1.1(4.0(0.0(3.0(0.0(x1))))))) -> 3^1.0(3.0(0.0(0.0(x1))))
   3^1.0(2.0(2.0(0.0(2.0(3.0(1.0(x1))))))) -> 4^1.0(3.0(1.0(x1)))
   1^1.0(5.0(3.0(1.0(0.0(2.0(x1)))))) -> 4^1.0(5.1(4.0(3.0(0.0(0.0(x1))))))
   1^1.0(5.0(3.0(1.0(0.0(2.0(x1)))))) -> 5^1.1(4.0(3.0(0.0(0.0(x1)))))
   5^1.1(4.0(2.0(5.0(5.0(2.0(3.0(x1))))))) -> 0^1.0(3.0(x1))
   0^1.0(2.0(2.0(5.0(2.0(3.0(x1)))))) -> 3^1.0(1.0(2.0(0.1(4.1(4.0(3.0(x1)))))))
   3^1.0(1.0(2.0(0.1(4.0(5.0(1.0(x1))))))) -> 4^1.0(3.0(3.0(5.0(1.0(1.0(0.0(x1)))))))
   3^1.0(1.0(2.0(0.1(4.0(5.0(1.0(x1))))))) -> 3^1.0(3.0(5.0(1.0(1.0(0.0(x1))))))
   0^1.0(2.0(2.0(5.0(2.0(3.0(x1)))))) -> 4^1.0(3.0(x1))
   0^1.0(5.0(3.0(2.0(1.0(5.0(x1)))))) -> 4^1.0(2.0(2.0(x1)))
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.1(x1))))))) -> 5^1.0(3.0(1.0(5.0(0.1(x1)))))
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.1(x1))))))) -> 3^1.0(1.0(5.0(0.1(x1))))
   1^1.0(5.0(3.0(1.0(0.0(2.0(x1)))))) -> 4^1.0(3.0(0.0(0.0(x1))))
   1^1.0(5.0(3.0(1.0(0.0(2.0(x1)))))) -> 3^1.0(0.0(0.0(x1)))
   3^1.0(1.0(0.0(5.0(0.0(3.0(2.0(x1))))))) -> 0^1.0(1.0(3.0(2.0(x1))))
   0^1.0(5.0(3.0(2.0(1.0(5.0(x1)))))) -> 2^1.0(2.0(x1))
   0^1.0(5.0(3.0(2.0(1.0(5.0(x1)))))) -> 2^1.0(x1)
   3^1.0(1.0(0.0(5.0(0.0(3.0(2.0(x1))))))) -> 1^1.0(3.0(2.0(x1)))
   1^1.0(5.0(3.0(1.0(0.0(2.0(x1)))))) -> 0^1.0(0.0(x1))
   0^1.0(2.0(2.0(5.0(5.1(4.0(1.0(x1))))))) -> 0^1.0(3.0(0.0(5.1(4.1(4.0(3.0(1.0(2.0(3.0(x1))))))))))
   0^1.0(2.0(2.0(5.0(5.1(4.0(1.0(x1))))))) -> 3^1.0(0.0(5.1(4.1(4.0(3.0(1.0(2.0(3.0(x1)))))))))
   3^1.0(2.0(3.0(5.0(5.0(2.0(3.0(x1))))))) -> 4^1.0(2.0(3.0(0.0(5.0(0.0(1.0(3.0(x1))))))))
   3^1.0(2.0(3.0(5.0(5.0(2.0(3.0(x1))))))) -> 2^1.0(3.0(0.0(5.0(0.0(1.0(3.0(x1)))))))
   3^1.0(5.0(1.1(4.0(0.0(3.0(0.0(x1))))))) -> 3^1.0(0.0(0.0(x1)))
   3^1.0(2.0(3.0(5.0(5.0(2.0(3.0(x1))))))) -> 3^1.0(0.0(5.0(0.0(1.0(3.0(x1))))))
   3^1.0(2.0(3.0(5.0(5.0(2.0(3.0(x1))))))) -> 0^1.0(5.0(0.0(1.0(3.0(x1)))))
   0^1.0(2.0(2.0(5.0(5.1(4.0(1.0(x1))))))) -> 0^1.0(5.1(4.1(4.0(3.0(1.0(2.0(3.0(x1))))))))
   0^1.0(2.0(2.0(5.0(5.1(4.0(1.0(x1))))))) -> 5^1.1(4.1(4.0(3.0(1.0(2.0(3.0(x1)))))))
   0^1.0(2.0(2.0(5.0(5.1(4.0(1.0(x1))))))) -> 4^1.0(3.0(1.0(2.0(3.0(x1)))))
   0^1.0(2.0(2.0(5.0(5.1(4.0(1.0(x1))))))) -> 3^1.0(1.0(2.0(3.0(x1))))
   3^1.0(2.0(3.0(5.0(5.0(2.0(3.0(x1))))))) -> 5^1.0(0.0(1.0(3.0(x1))))
   3^1.0(2.0(3.0(5.0(5.0(2.0(3.0(x1))))))) -> 0^1.0(1.0(3.0(x1)))
   0^1.0(2.0(2.0(5.0(5.1(4.0(1.0(x1))))))) -> 1^1.0(2.0(3.0(x1)))
   1^1.0(5.0(3.0(1.0(0.0(2.0(x1)))))) -> 0^1.0(x1)
   0^1.0(2.0(1.1(4.0(5.0(x1))))) -> 0^1.0(x1)
   0^1.0(2.0(2.0(5.0(5.1(4.0(1.0(x1))))))) -> 2^1.0(3.0(x1))
   2^1.0(2.0(2.0(3.0(x1)))) -> 4^1.0(2.0(3.0(0.0(x1))))
   2^1.0(2.0(2.0(3.0(x1)))) -> 2^1.0(3.0(0.0(x1)))
   2^1.0(2.0(2.0(3.0(x1)))) -> 3^1.0(0.0(x1))
   3^1.0(2.0(3.0(5.0(5.0(2.0(3.0(x1))))))) -> 1^1.0(3.0(x1))
   1^1.0(0.0(0.0(5.0(5.0(2.0(x1)))))) -> 4^1.0(x1)
   0^1.0(2.0(2.0(5.0(5.1(4.0(1.0(x1))))))) -> 3^1.0(x1)
   3^1.0(5.0(1.1(4.0(0.0(3.0(0.0(x1))))))) -> 0^1.0(0.0(x1))
   0^1.0(5.0(2.0(0.0(5.1(4.0(2.0(x1))))))) -> 4^1.0(x1)
   4^1.0(1.0(0.0(0.0(0.1(4.0(x1)))))) -> 2^1.0(x1)
   2^1.0(2.0(2.0(3.0(x1)))) -> 0^1.0(x1)
   0^1.0(5.0(2.0(2.0(0.1(4.0(2.0(x1))))))) -> 4^1.0(5.1(4.0(0.0(3.0(1.0(x1))))))
   0^1.0(5.0(2.0(2.0(0.1(4.0(2.0(x1))))))) -> 5^1.1(4.0(0.0(3.0(1.0(x1)))))
   0^1.0(5.0(2.0(2.0(0.1(4.0(2.0(x1))))))) -> 4^1.0(0.0(3.0(1.0(x1))))
   0^1.0(5.0(2.0(2.0(0.1(4.0(2.0(x1))))))) -> 0^1.0(3.0(1.0(x1)))
   0^1.0(5.0(2.0(5.0(2.0(3.0(5.0(x1))))))) -> 4^1.0(5.0(x1))
   0^1.0(5.0(2.0(5.0(2.0(3.0(5.1(x1))))))) -> 4^1.0(5.1(x1))
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.0(x1))))))) -> 0^1.0(3.0(0.0(1.0(3.0(1.0(5.0(3.0(5.0(0.0(x1))))))))))
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.0(x1))))))) -> 3^1.0(0.0(1.0(3.0(1.0(5.0(3.0(5.0(0.0(x1)))))))))
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.0(x1))))))) -> 0^1.0(1.0(3.0(1.0(5.0(3.0(5.0(0.0(x1))))))))
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.0(x1))))))) -> 1^1.0(3.0(1.0(5.0(3.0(5.0(0.0(x1)))))))
   1^1.0(3.0(0.1(4.0(0.0(3.0(x1)))))) -> 1^1.0(3.0(0.0(1.0(0.0(3.0(5.1(4.1(4.1(4.0(x1))))))))))
   1^1.0(3.0(0.1(4.0(0.0(3.0(x1)))))) -> 3^1.0(0.0(1.0(0.0(3.0(5.1(4.1(4.1(4.0(x1)))))))))
   1^1.0(3.0(0.1(4.0(0.0(3.1(x1)))))) -> 3^1.0(0.0(1.0(0.0(3.0(5.1(4.1(4.1(4.1(x1)))))))))
   1^1.0(3.0(0.1(4.0(0.0(3.0(x1)))))) -> 0^1.0(1.0(0.0(3.0(5.1(4.1(4.1(4.0(x1))))))))
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.0(x1))))))) -> 3^1.0(1.0(5.0(3.0(5.0(0.0(x1))))))
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.0(x1))))))) -> 1^1.0(5.0(3.0(5.0(0.0(x1)))))
   1^1.0(3.0(0.1(4.0(0.0(3.1(x1)))))) -> 1^1.0(3.0(0.0(1.0(0.0(3.0(5.1(4.1(4.1(4.1(x1))))))))))
   1^1.0(3.0(0.1(4.0(0.0(3.1(x1)))))) -> 0^1.0(1.0(0.0(3.0(5.1(4.1(4.1(4.1(x1))))))))
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.0(x1))))))) -> 5^1.0(3.0(5.0(0.0(x1))))
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.0(x1))))))) -> 3^1.0(5.0(0.0(x1)))
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.0(x1))))))) -> 5^1.0(0.0(x1))
   0^1.0(2.0(2.0(2.0(2.0(5.0(5.0(x1))))))) -> 0^1.0(x1)
   0^1.0(5.0(2.0(2.0(0.1(4.0(2.0(x1))))))) -> 3^1.0(1.0(x1))
   3^1.0(1.0(2.0(0.1(4.0(5.0(1.0(x1))))))) -> 3^1.0(5.0(1.0(1.0(0.0(x1)))))
   3^1.0(1.0(2.0(0.1(4.0(5.0(1.0(x1))))))) -> 5^1.0(1.0(1.0(0.0(x1))))
   3^1.0(1.0(2.0(0.1(4.0(5.0(1.0(x1))))))) -> 1^1.0(1.0(0.0(x1)))
   1^1.0(3.0(0.1(4.0(0.0(3.0(x1)))))) -> 1^1.0(0.0(3.0(5.1(4.1(4.1(4.0(x1)))))))
   1^1.0(3.0(0.1(4.0(0.0(3.0(x1)))))) -> 0^1.0(3.0(5.1(4.1(4.1(4.0(x1))))))
   0^1.0(1.0(1.0(2.0(5.0(5.0(5.0(x1))))))) -> 4^1.0(x1)
   4^1.0(2.0(2.0(2.0(0.0(5.0(1.1(x1))))))) -> 1^1.0(5.0(0.1(x1)))
   0^1.0(0.0(2.0(2.0(5.0(5.0(5.0(x1))))))) -> 4^1.0(1.0(x1))
   0^1.0(0.0(2.0(2.0(5.0(5.0(5.0(x1))))))) -> 1^1.0(x1)
   1^1.0(3.0(0.1(4.0(0.0(3.1(x1)))))) -> 1^1.0(0.0(3.0(5.1(4.1(4.1(4.1(x1)))))))
   1^1.0(3.0(0.1(4.0(0.0(3.1(x1)))))) -> 0^1.0(3.0(5.1(4.1(4.1(4.1(x1))))))
   1^1.0(3.0(0.1(4.0(0.0(3.0(x1)))))) -> 3^1.0(5.1(4.1(4.1(4.0(x1)))))
   1^1.0(3.0(0.1(4.0(0.0(3.1(x1)))))) -> 3^1.0(5.1(4.1(4.1(4.1(x1)))))
   1^1.0(3.0(0.1(4.0(0.0(3.0(x1)))))) -> 5^1.1(4.1(4.1(4.0(x1))))
   1^1.0(3.0(0.1(4.0(0.0(3.1(x1)))))) -> 5^1.1(4.1(4.1(4.1(x1))))
   1^1.0(3.0(0.1(4.0(0.0(3.0(x1)))))) -> 4^1.0(x1)
   3^1.0(1.0(2.0(0.1(4.0(5.0(1.0(x1))))))) -> 1^1.0(0.0(x1))
   3^1.0(1.0(2.0(0.1(4.0(5.0(1.0(x1))))))) -> 0^1.0(x1)
   0^1.0(5.0(2.0(2.0(0.1(4.0(2.0(x1))))))) -> 1^1.0(x1)
   2^1.0(5.1(4.0(2.0(0.0(x1))))) -> 4^1.0(3.0(0.0(x1)))
   2^1.0(5.1(4.0(2.0(0.0(x1))))) -> 3^1.0(0.0(x1))
   2^1.0(2.0(1.1(4.0(2.0(3.0(x1)))))) -> 4^1.0(5.1(4.1(4.1(4.0(x1)))))
   2^1.0(2.0(1.1(4.0(2.0(3.1(x1)))))) -> 4^1.0(5.1(4.1(4.1(4.1(x1)))))
   2^1.0(2.0(1.1(4.0(2.0(3.0(x1)))))) -> 5^1.1(4.1(4.1(4.0(x1))))
   2^1.0(2.0(1.1(4.0(2.0(3.1(x1)))))) -> 5^1.1(4.1(4.1(4.1(x1))))
   2^1.0(2.0(1.1(4.0(2.0(3.0(x1)))))) -> 4^1.0(x1)
   2^1.0(2.0(0.0(5.0(5.0(5.0(x1)))))) -> 4^1.0(2.0(x1))
   2^1.0(2.0(0.0(5.0(5.0(5.0(x1)))))) -> 2^1.0(x1)
   2^1.0(2.0(5.1(4.0(3.1(4.0(0.0(x1))))))) -> 4^1.0(3.0(5.1(4.0(0.0(0.0(x1))))))
   2^1.0(2.0(5.1(4.0(3.1(4.0(0.0(x1))))))) -> 3^1.0(5.1(4.0(0.0(0.0(x1)))))
   2^1.0(2.0(5.1(4.0(3.1(4.0(0.0(x1))))))) -> 5^1.1(4.0(0.0(0.0(x1))))
   2^1.0(2.0(5.1(4.0(3.1(4.0(0.0(x1))))))) -> 4^1.0(0.0(0.0(x1)))
   2^1.0(2.0(5.1(4.0(3.1(4.0(0.0(x1))))))) -> 0^1.0(0.0(x1))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.0(x1))))))) -> 5^1.0(0.0(5.0(3.0(2.0(3.0(1.0(3.0(5.1(4.0(x1))))))))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.1(x1))))))) -> 5^1.0(0.0(5.0(3.0(2.0(3.0(1.0(3.0(5.1(4.1(x1))))))))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.0(x1))))))) -> 0^1.0(5.0(3.0(2.0(3.0(1.0(3.0(5.1(4.0(x1)))))))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.1(x1))))))) -> 0^1.0(5.0(3.0(2.0(3.0(1.0(3.0(5.1(4.1(x1)))))))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.0(x1))))))) -> 5^1.0(3.0(2.0(3.0(1.0(3.0(5.1(4.0(x1))))))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.1(x1))))))) -> 5^1.0(3.0(2.0(3.0(1.0(3.0(5.1(4.1(x1))))))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.0(x1))))))) -> 3^1.0(2.0(3.0(1.0(3.0(5.1(4.0(x1)))))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.1(x1))))))) -> 3^1.0(2.0(3.0(1.0(3.0(5.1(4.1(x1)))))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.0(x1))))))) -> 2^1.0(3.0(1.0(3.0(5.1(4.0(x1))))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.0(x1))))))) -> 3^1.0(1.0(3.0(5.1(4.0(x1)))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.1(x1))))))) -> 3^1.0(1.0(3.0(5.1(4.1(x1)))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.0(x1))))))) -> 1^1.0(3.0(5.1(4.0(x1))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.1(x1))))))) -> 1^1.0(3.0(5.1(4.1(x1))))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.0(x1))))))) -> 3^1.0(5.1(4.0(x1)))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.1(x1))))))) -> 3^1.0(5.1(4.1(x1)))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.0(x1))))))) -> 5^1.1(4.0(x1))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.1(x1))))))) -> 5^1.1(4.1(x1))
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.0(x1))))))) -> 4^1.0(x1)
   2^1.0(2.0(2.0(0.0(5.0(3.0(3.0(x1))))))) -> 4^1.0(x1)
   2^1.0(1.0(1.0(2.0(5.1(4.0(3.0(x1))))))) -> 3^1.0(5.1(4.0(3.0(x1))))
   2^1.0(3.0(3.0(2.0(5.0(2.0(5.0(x1))))))) -> 4^1.0(x1)
   2^1.0(0.0(3.0(2.0(2.0(3.0(5.0(x1))))))) -> 4^1.0(5.1(4.0(x1)))
   2^1.0(0.0(3.0(2.0(2.0(3.0(5.1(x1))))))) -> 4^1.0(5.1(4.1(x1)))
   2^1.0(0.0(3.0(2.0(2.0(3.0(5.0(x1))))))) -> 5^1.1(4.0(x1))
   2^1.0(0.0(3.0(2.0(2.0(3.0(5.1(x1))))))) -> 5^1.1(4.1(x1))
   2^1.0(0.0(3.0(2.0(2.0(3.0(5.0(x1))))))) -> 4^1.0(x1)
   2^1.0(2.0(2.0(2.0(0.0(2.0(3.1(x1))))))) -> 2^1.0(3.0(1.0(3.0(5.1(4.1(x1))))))
   2^1.0(2.0(1.1(4.0(2.0(1.1(4.0(x1))))))) -> 4^1.0(1.0(1.0(3.0(5.1(4.0(3.0(x1)))))))
   2^1.0(2.0(1.1(4.0(2.0(1.1(4.0(x1))))))) -> 1^1.0(1.0(3.0(5.1(4.0(3.0(x1))))))
   2^1.0(2.0(1.1(4.0(2.0(1.1(4.0(x1))))))) -> 1^1.0(3.0(5.1(4.0(3.0(x1)))))
   2^1.0(2.0(1.1(4.0(2.0(1.1(4.0(x1))))))) -> 3^1.0(5.1(4.0(3.0(x1))))
   2^1.0(2.0(1.1(4.0(2.0(1.1(4.0(x1))))))) -> 5^1.1(4.0(3.0(x1)))
   2^1.0(2.0(1.1(4.0(2.0(1.1(4.0(x1))))))) -> 4^1.0(3.0(x1))
   2^1.0(2.0(1.1(4.0(2.0(1.1(4.0(x1))))))) -> 3^1.0(x1)

Strictly oriented rules of the TRS R:

   2.0(1.0(0.0(0.0(x1)))) -> 3.0(0.0(0.0(3.0(5.1(4.1(4.0(5.1(4.0(3.0(x1))))))))))
   2.0(1.0(0.0(0.1(x1)))) -> 3.0(0.0(0.0(3.0(5.1(4.1(4.0(5.1(4.0(3.1(x1))))))))))
   2.0(2.0(2.0(3.0(x1)))) -> 3.0(5.0(3.0(1.1(4.1(4.1(4.0(2.0(3.0(0.0(x1))))))))))
   2.0(5.1(4.0(2.0(0.0(x1))))) -> 3.0(1.0(3.0(0.0(0.0(0.0(0.1(4.0(3.0(0.0(x1))))))))))
   2.0(5.1(4.0(2.0(0.1(x1))))) -> 3.0(1.0(3.0(0.0(0.0(0.0(0.1(4.0(3.0(0.1(x1))))))))))
   1.0(5.0(0.1(4.0(1.0(x1))))) -> 0.0(3.0(3.0(3.1(4.0(5.1(4.1(4.1(4.0(5.0(x1))))))))))
   1.0(5.0(0.1(4.0(1.1(x1))))) -> 0.0(3.0(3.0(3.1(4.0(5.1(4.1(4.1(4.0(5.1(x1))))))))))
   0.0(2.0(1.1(4.0(5.0(x1))))) -> 0.0(3.0(1.1(4.0(0.0(3.1(4.1(4.0(0.0(0.0(x1))))))))))
   5.0(3.0(5.0(2.0(3.0(0.0(x1)))))) -> 5.0(3.0(3.1(4.0(3.1(4.1(4.0(3.0(1.0(3.0(x1))))))))))
   5.0(3.0(5.0(2.0(3.0(0.1(x1)))))) -> 5.0(3.0(3.1(4.0(3.1(4.1(4.0(3.0(1.0(3.1(x1))))))))))
   0.0(5.0(1.0(1.0(5.0(0.0(x1)))))) -> 0.0(3.0(1.0(3.0(3.0(1.0(3.0(0.0(0.0(0.0(x1))))))))))
   0.0(5.0(1.0(1.0(5.0(0.1(x1)))))) -> 0.0(3.0(1.0(3.0(3.0(1.0(3.0(0.0(0.0(0.1(x1))))))))))
   3.0(2.0(2.0(5.0(2.0(1.0(x1)))))) -> 3.0(3.1(4.0(3.1(4.0(5.1(4.0(2.1(4.0(0.0(x1))))))))))
   3.0(2.0(2.0(5.0(2.0(1.1(x1)))))) -> 3.0(3.1(4.0(3.1(4.0(5.1(4.0(2.1(4.0(0.1(x1))))))))))
   3.0(2.0(1.0(0.0(0.0(2.0(x1)))))) -> 3.1(4.1(4.1(4.0(3.0(1.0(3.0(3.0(3.0(1.0(x1))))))))))
   3.0(2.0(1.0(0.0(0.0(2.1(x1)))))) -> 3.1(4.1(4.1(4.0(3.0(1.0(3.0(3.0(3.0(1.1(x1))))))))))
   1.0(5.0(3.0(1.0(0.0(2.0(x1)))))) -> 1.0(0.0(3.0(5.1(4.0(5.1(4.0(3.0(0.0(0.0(x1))))))))))
   1.0(0.0(0.0(5.0(5.0(2.0(x1)))))) -> 0.0(3.0(5.0(1.0(3.1(4.0(3.0(0.0(1.1(4.0(x1))))))))))
   1.0(0.0(0.0(5.0(5.0(2.1(x1)))))) -> 0.0(3.0(5.0(1.0(3.1(4.0(3.0(0.0(1.1(4.1(x1))))))))))
   1.0(3.0(0.1(4.0(0.0(3.0(x1)))))) -> 1.0(3.0(0.0(1.0(0.0(3.0(5.1(4.1(4.1(4.0(x1))))))))))
   1.0(3.0(0.1(4.0(0.0(3.1(x1)))))) -> 1.0(3.0(0.0(1.0(0.0(3.0(5.1(4.1(4.1(4.1(x1))))))))))
   0.0(5.0(5.0(1.0(2.0(3.0(x1)))))) -> 0.0(3.0(3.1(4.0(0.1(4.0(3.0(3.0(1.1(4.0(x1))))))))))
   0.0(5.0(5.0(1.0(2.0(3.1(x1)))))) -> 0.0(3.0(3.1(4.0(0.1(4.0(3.0(3.0(1.1(4.1(x1))))))))))
   2.0(2.0(1.1(4.0(2.0(3.0(x1)))))) -> 2.1(4.0(3.0(0.0(2.1(4.0(5.1(4.1(4.1(4.0(x1))))))))))
   2.0(2.0(1.1(4.0(2.0(3.1(x1)))))) -> 2.1(4.0(3.0(0.0(2.1(4.0(5.1(4.1(4.1(4.1(x1))))))))))
   0.0(2.0(2.0(5.0(2.0(3.0(x1)))))) -> 0.0(3.0(5.0(3.0(1.0(2.0(0.1(4.1(4.0(3.0(x1))))))))))
   0.0(2.0(2.0(5.0(2.0(3.1(x1)))))) -> 0.0(3.0(5.0(3.0(1.0(2.0(0.1(4.1(4.0(3.1(x1))))))))))
   3.0(2.0(2.0(1.1(4.0(3.0(x1)))))) -> 5.1(4.1(4.1(4.1(4.1(4.0(1.1(4.0(5.0(3.0(x1))))))))))
   3.0(2.0(2.0(1.1(4.0(3.1(x1)))))) -> 5.1(4.1(4.1(4.1(4.1(4.0(1.1(4.0(5.0(3.1(x1))))))))))
   5.0(3.0(0.0(2.0(5.0(3.0(x1)))))) -> 5.0(2.1(4.1(4.0(3.1(4.0(3.1(4.0(3.0(3.0(x1))))))))))
   5.0(3.0(0.0(2.0(5.0(3.1(x1)))))) -> 5.0(2.1(4.1(4.0(3.1(4.0(3.1(4.0(3.0(3.1(x1))))))))))
   4.0(1.0(0.0(0.0(0.1(4.1(x1)))))) -> 4.0(1.0(3.0(1.1(4.0(3.0(3.0(0.0(3.0(2.1(x1))))))))))
   4.0(2.0(3.0(1.0(0.1(4.0(x1)))))) -> 4.0(1.1(4.0(1.0(3.0(3.0(1.1(4.0(1.1(4.0(x1))))))))))
   4.0(2.0(3.0(1.0(0.1(4.1(x1)))))) -> 4.0(1.1(4.0(1.0(3.0(3.0(1.1(4.0(1.1(4.1(x1))))))))))
   4.1(4.0(5.0(0.0(3.1(4.0(x1)))))) -> 4.0(2.1(4.1(4.0(1.0(3.0(5.1(4.0(3.1(4.0(x1))))))))))
   4.1(4.0(5.0(0.0(3.1(4.1(x1)))))) -> 4.0(2.1(4.1(4.0(1.0(3.0(5.1(4.0(3.1(4.1(x1))))))))))
   0.0(5.0(3.0(2.0(1.0(5.0(x1)))))) -> 0.0(3.0(3.1(4.1(4.0(2.1(4.1(4.0(2.0(2.0(x1))))))))))
   0.0(5.0(3.0(2.0(1.0(5.1(x1)))))) -> 0.0(3.0(3.1(4.1(4.0(2.1(4.1(4.0(2.0(2.1(x1))))))))))
   3.0(5.0(5.0(5.1(4.0(5.0(x1)))))) -> 3.0(0.1(4.0(3.1(4.0(2.1(4.1(4.0(5.0(3.0(x1))))))))))
   3.0(5.0(1.0(0.0(5.0(5.0(x1)))))) -> 3.1(4.0(5.0(0.0(3.0(1.1(4.1(4.1(4.0(5.0(x1))))))))))
   3.0(5.0(1.0(0.0(5.0(5.1(x1)))))) -> 3.1(4.0(5.0(0.0(3.0(1.1(4.1(4.1(4.0(5.1(x1))))))))))
   2.0(2.0(0.0(5.0(5.0(5.0(x1)))))) -> 3.1(4.1(4.0(3.1(4.0(3.1(4.0(1.1(4.0(2.0(x1))))))))))
   2.0(2.0(0.0(5.0(5.0(5.1(x1)))))) -> 3.1(4.1(4.0(3.1(4.0(3.1(4.0(1.1(4.0(2.1(x1))))))))))
   3.0(2.0(5.0(5.0(5.0(5.0(x1)))))) -> 3.1(4.1(4.0(2.1(4.0(1.1(4.0(0.0(3.0(3.0(x1))))))))))
   3.0(2.0(5.0(5.0(5.0(5.1(x1)))))) -> 3.1(4.1(4.0(2.1(4.0(1.1(4.0(0.0(3.0(3.1(x1))))))))))
   3.0(2.0(2.0(5.1(4.0(2.0(0.0(x1))))))) -> 3.0(5.0(1.0(3.0(1.1(4.1(4.0(1.0(5.0(0.0(x1))))))))))
   3.0(2.0(2.0(5.1(4.0(2.0(0.1(x1))))))) -> 3.0(5.0(1.0(3.0(1.1(4.1(4.0(1.0(5.0(0.1(x1))))))))))
   2.0(2.0(5.1(4.0(3.1(4.0(0.0(x1))))))) -> 2.0(3.0(3.0(2.1(4.0(3.0(5.1(4.0(0.0(0.0(x1))))))))))
   2.0(2.0(5.1(4.0(3.1(4.0(0.1(x1))))))) -> 2.0(3.0(3.0(2.1(4.0(3.0(5.1(4.0(0.0(0.1(x1))))))))))
   3.0(2.0(2.0(0.0(2.0(3.0(1.0(x1))))))) -> 3.0(2.0(1.0(1.0(1.0(5.0(3.1(4.0(3.0(1.0(x1))))))))))
   3.0(2.0(2.0(0.0(2.0(3.0(1.1(x1))))))) -> 3.0(2.0(1.0(1.0(1.0(5.0(3.1(4.0(3.0(1.1(x1))))))))))
   0.0(2.0(2.0(5.0(5.1(4.0(1.0(x1))))))) -> 0.0(3.0(0.0(5.1(4.1(4.0(3.0(1.0(2.0(3.0(x1))))))))))
   0.0(2.0(2.0(5.0(5.1(4.0(1.1(x1))))))) -> 0.0(3.0(0.0(5.1(4.1(4.0(3.0(1.0(2.0(3.1(x1))))))))))
   4.0(2.0(2.0(2.0(0.0(5.0(1.0(x1))))))) -> 4.0(1.0(3.0(3.1(4.0(5.0(3.0(1.0(5.0(0.0(x1))))))))))
   4.0(2.0(2.0(2.0(0.0(5.0(1.1(x1))))))) -> 4.0(1.0(3.0(3.1(4.0(5.0(3.0(1.0(5.0(0.1(x1))))))))))
   3.0(1.0(2.0(0.1(4.0(5.0(1.0(x1))))))) -> 3.0(0.1(4.1(4.0(3.0(3.0(5.0(1.0(1.0(0.0(x1))))))))))
   5.0(0.0(2.0(5.0(1.0(0.0(2.0(x1))))))) -> 5.0(2.0(0.0(3.0(1.0(3.0(0.0(0.1(4.0(3.0(x1))))))))))
   4.0(2.0(2.0(0.0(0.0(2.0(2.0(x1))))))) -> 4.1(4.1(4.1(4.0(5.1(4.1(4.0(1.0(1.0(2.0(x1))))))))))
   4.0(2.0(2.0(0.0(0.0(2.0(2.1(x1))))))) -> 4.1(4.1(4.1(4.0(5.1(4.1(4.0(1.0(1.0(2.1(x1))))))))))
   0.0(5.0(2.0(2.0(0.1(4.0(2.0(x1))))))) -> 0.0(3.0(0.1(4.1(4.0(5.1(4.0(0.0(3.0(1.0(x1))))))))))
   0.0(5.0(2.0(2.0(0.1(4.0(2.1(x1))))))) -> 0.0(3.0(0.1(4.1(4.0(5.1(4.0(0.0(3.0(1.1(x1))))))))))
   0.0(5.0(2.0(0.0(5.1(4.0(2.0(x1))))))) -> 1.0(1.0(5.0(0.1(4.0(3.0(1.0(3.1(4.1(4.0(x1))))))))))
   4.0(2.0(5.0(2.0(2.0(5.0(2.0(x1))))))) -> 4.1(4.0(0.1(4.0(0.0(3.0(1.1(4.0(3.1(4.0(x1))))))))))
   4.0(2.0(5.0(2.0(2.0(5.0(2.1(x1))))))) -> 4.1(4.0(0.1(4.0(0.0(3.0(1.1(4.0(3.1(4.1(x1))))))))))
   2.0(2.0(2.0(2.0(0.0(2.0(3.0(x1))))))) -> 5.0(0.0(5.0(3.0(2.0(3.0(1.0(3.0(5.1(4.0(x1))))))))))
   2.0(2.0(2.0(2.0(0.0(2.0(3.1(x1))))))) -> 5.0(0.0(5.0(3.0(2.0(3.0(1.0(3.0(5.1(4.1(x1))))))))))
   5.1(4.0(2.0(5.0(5.0(2.0(3.0(x1))))))) -> 5.1(4.0(3.1(4.0(2.0(3.0(0.0(0.0(0.0(3.0(x1))))))))))
   5.1(4.0(2.0(5.0(5.0(2.0(3.1(x1))))))) -> 5.1(4.0(3.1(4.0(2.0(3.0(0.0(0.0(0.0(3.1(x1))))))))))
   3.0(2.0(3.0(5.0(5.0(2.0(3.0(x1))))))) -> 3.0(3.1(4.0(2.0(3.0(0.0(5.0(0.0(1.0(3.0(x1))))))))))
   3.0(2.0(3.0(5.0(5.0(2.0(3.1(x1))))))) -> 3.0(3.1(4.0(2.0(3.0(0.0(5.0(0.0(1.0(3.1(x1))))))))))
   2.0(2.0(2.0(0.0(5.0(3.0(3.0(x1))))))) -> 5.0(3.0(5.0(3.0(3.1(4.0(0.0(3.1(4.1(4.0(x1))))))))))
   2.0(2.0(2.0(0.0(5.0(3.0(3.1(x1))))))) -> 5.0(3.0(5.0(3.0(3.1(4.0(0.0(3.1(4.1(4.1(x1))))))))))
   4.0(5.0(1.0(3.0(3.0(0.1(4.0(x1))))))) -> 4.1(4.1(4.0(3.0(0.0(0.0(0.0(1.0(3.0(1.0(x1))))))))))
   4.0(5.0(1.0(3.0(3.0(0.1(4.1(x1))))))) -> 4.1(4.1(4.0(3.0(0.0(0.0(0.0(1.0(3.0(1.1(x1))))))))))
   2.0(2.0(1.1(4.0(2.0(1.1(4.0(x1))))))) -> 5.0(0.1(4.1(4.0(1.0(1.0(3.0(5.1(4.0(3.0(x1))))))))))
   2.0(2.0(1.1(4.0(2.0(1.1(4.1(x1))))))) -> 5.0(0.1(4.1(4.0(1.0(1.0(3.0(5.1(4.0(3.1(x1))))))))))
   2.0(3.0(3.0(2.0(5.0(2.0(5.0(x1))))))) -> 3.0(5.0(2.0(3.0(1.0(3.0(0.0(1.0(3.1(4.0(x1))))))))))
   2.0(3.0(3.0(2.0(5.0(2.0(5.1(x1))))))) -> 3.0(5.0(2.0(3.0(1.0(3.0(0.0(1.0(3.1(4.1(x1))))))))))
   2.0(0.0(3.0(2.0(2.0(3.0(5.0(x1))))))) -> 2.0(0.0(5.0(0.0(1.0(3.0(3.1(4.0(5.1(4.0(x1))))))))))
   2.0(0.0(3.0(2.0(2.0(3.0(5.1(x1))))))) -> 2.0(0.0(5.0(0.0(1.0(3.0(3.1(4.0(5.1(4.1(x1))))))))))
   0.0(5.0(2.0(5.0(2.0(3.0(5.0(x1))))))) -> 1.0(3.0(0.0(3.1(4.1(4.0(2.0(2.1(4.0(5.0(x1))))))))))
   0.0(5.0(2.0(5.0(2.0(3.0(5.1(x1))))))) -> 1.0(3.0(0.0(3.1(4.1(4.0(2.0(2.1(4.0(5.1(x1))))))))))
   0.0(2.0(2.0(2.0(2.0(5.0(5.0(x1))))))) -> 0.0(3.0(0.0(1.0(3.0(1.0(5.0(3.0(5.0(0.0(x1))))))))))
   0.0(2.0(2.0(2.0(2.0(5.0(5.1(x1))))))) -> 0.0(3.0(0.0(1.0(3.0(1.0(5.0(3.0(5.0(0.1(x1))))))))))
   0.0(1.0(1.0(2.0(5.0(5.0(5.0(x1))))))) -> 1.0(3.0(3.0(2.1(4.0(5.1(4.0(2.0(2.1(4.0(x1))))))))))
   0.0(1.0(1.0(2.0(5.0(5.0(5.1(x1))))))) -> 1.0(3.0(3.0(2.1(4.0(5.1(4.0(2.0(2.1(4.1(x1))))))))))
   0.0(0.0(2.0(2.0(5.0(5.0(5.0(x1))))))) -> 1.0(3.0(3.0(2.1(4.0(3.0(3.0(0.1(4.0(1.0(x1))))))))))
   0.0(0.0(2.0(2.0(5.0(5.0(5.1(x1))))))) -> 1.0(3.0(3.0(2.1(4.0(3.0(3.0(0.1(4.0(1.1(x1))))))))))

Used ordering: Polynomial interpretation [POLO]:

   POL(0.0(x_1)) = x_1
   POL(0.1(x_1)) = 1 + x_1
   POL(0^1.0(x_1)) = x_1
   POL(1.0(x_1)) = x_1
   POL(1.1(x_1)) = x_1
   POL(1^1.0(x_1)) = x_1
   POL(2.0(x_1)) = 1 + x_1
   POL(2.1(x_1)) = x_1
   POL(2^1.0(x_1)) = x_1
   POL(3.0(x_1)) = x_1
   POL(3.1(x_1)) = x_1
   POL(3^1.0(x_1)) = x_1
   POL(4.0(x_1)) = x_1
   POL(4.1(x_1)) = x_1
   POL(4^1.0(x_1)) = x_1
   POL(5.0(x_1)) = 1 + x_1
   POL(5.1(x_1)) = x_1
   POL(5^1.0(x_1)) = 1 + x_1
   POL(5^1.1(x_1)) = x_1


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

(10)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   2^1.0(1.0(0.0(0.0(x1)))) -> 3^1.0(0.0(0.0(3.0(5.1(4.1(4.0(5.1(4.0(3.0(x1))))))))))
   3^1.0(3.0(1.0(0.0(3.0(5.0(x1)))))) -> 4^1.0(2.0(x1))
   4^1.0(1.0(0.0(0.0(0.1(4.0(x1)))))) -> 4^1.0(3.0(3.0(0.0(3.0(2.0(x1))))))
   2^1.0(1.0(0.0(0.0(x1)))) -> 0^1.0(0.0(3.0(5.1(4.1(4.0(5.1(4.0(3.0(x1)))))))))
   4^1.0(1.0(0.0(0.0(0.1(4.0(x1)))))) -> 3^1.0(3.0(0.0(3.0(2.0(x1)))))
   3^1.0(1.0(0.0(5.0(0.0(3.0(2.0(x1))))))) -> 3^1.0(1.0(3.0(0.0(1.0(5.0(0.0(1.0(3.0(2.0(x1))))))))))
   3^1.0(1.0(0.0(5.0(0.0(3.0(2.0(x1))))))) -> 1^1.0(3.0(0.0(1.0(5.0(0.0(1.0(3.0(2.0(x1)))))))))
   3^1.0(1.0(0.0(5.0(0.0(3.0(2.0(x1))))))) -> 3^1.0(0.0(1.0(5.0(0.0(1.0(3.0(2.0(x1))))))))
   3^1.0(1.0(0.0(5.0(0.0(3.0(2.0(x1))))))) -> 0^1.0(1.0(5.0(0.0(1.0(3.0(2.0(x1)))))))
   3^1.0(1.0(0.0(5.0(0.0(3.0(2.0(x1))))))) -> 1^1.0(5.0(0.0(1.0(3.0(2.0(x1))))))
   3^1.0(1.0(0.0(5.0(0.0(3.0(2.0(x1))))))) -> 5^1.0(0.0(1.0(3.0(2.0(x1)))))
   2^1.0(1.0(0.0(0.0(x1)))) -> 0^1.0(3.0(5.1(4.1(4.0(5.1(4.0(3.0(x1))))))))
   2^1.0(1.0(0.0(0.0(x1)))) -> 3^1.0(5.1(4.1(4.0(5.1(4.0(3.0(x1)))))))
   2^1.0(1.0(0.0(0.0(x1)))) -> 5^1.1(4.1(4.0(5.1(4.0(3.0(x1))))))
   2^1.0(1.0(0.0(0.0(x1)))) -> 4^1.0(5.1(4.0(3.0(x1))))
   2^1.0(1.0(0.0(0.0(x1)))) -> 5^1.1(4.0(3.0(x1)))
   2^1.0(1.0(0.0(0.0(x1)))) -> 4^1.0(3.0(x1))
   2^1.0(1.0(0.0(0.0(x1)))) -> 3^1.0(x1)
   4^1.0(1.0(0.0(0.0(0.1(4.0(x1)))))) -> 3^1.0(0.0(3.0(2.0(x1))))
   4^1.0(1.0(0.0(0.0(0.1(4.0(x1)))))) -> 0^1.0(3.0(2.0(x1)))
   4^1.0(1.0(0.0(0.0(0.1(4.0(x1)))))) -> 3^1.0(2.0(x1))
   2^1.0(1.0(1.0(2.0(5.1(4.0(3.0(x1))))))) -> 4^1.0(5.0(3.0(5.1(4.0(3.0(x1))))))
   2^1.0(1.0(1.0(2.0(5.1(4.0(3.0(x1))))))) -> 5^1.0(3.0(5.1(4.0(3.0(x1)))))

The TRS R consists of the following rules:

   2.0(2.0(2.0(3.1(x1)))) -> 3.0(5.0(3.0(1.1(4.1(4.1(4.0(2.0(3.0(0.1(x1))))))))))
   0.0(2.0(1.1(4.0(5.1(x1))))) -> 0.0(3.0(1.1(4.0(0.0(3.1(4.1(4.0(0.0(0.1(x1))))))))))
   1.0(5.0(3.0(1.0(0.0(2.1(x1)))))) -> 1.0(0.0(3.0(5.1(4.0(5.1(4.0(3.0(0.0(0.1(x1))))))))))
   4.0(1.0(0.0(0.0(0.1(4.0(x1)))))) -> 4.0(1.0(3.0(1.1(4.0(3.0(3.0(0.0(3.0(2.0(x1))))))))))
   3.0(3.0(1.0(0.0(3.0(5.0(x1)))))) -> 3.0(3.0(1.0(3.1(4.1(4.0(1.1(4.1(4.0(2.0(x1))))))))))
   3.0(3.0(1.0(0.0(3.0(5.1(x1)))))) -> 3.0(3.0(1.0(3.1(4.1(4.0(1.1(4.1(4.0(2.1(x1))))))))))
   3.0(5.0(5.0(5.1(4.0(5.1(x1)))))) -> 3.0(0.1(4.0(3.1(4.0(2.1(4.1(4.0(5.0(3.1(x1))))))))))
   3.0(5.0(1.1(4.0(0.0(3.0(0.0(x1))))))) -> 5.0(0.0(0.0(3.1(4.1(4.0(3.0(3.0(0.0(0.0(x1))))))))))
   3.0(5.0(1.1(4.0(0.0(3.0(0.1(x1))))))) -> 5.0(0.0(0.0(3.1(4.1(4.0(3.0(3.0(0.0(0.1(x1))))))))))
   3.0(1.0(2.0(0.1(4.0(5.0(1.1(x1))))))) -> 3.0(0.1(4.1(4.0(3.0(3.0(5.0(1.0(1.0(0.1(x1))))))))))
   5.0(0.0(2.0(5.0(1.0(0.0(2.1(x1))))))) -> 5.0(2.0(0.0(3.0(1.0(3.0(0.0(0.1(4.0(3.1(x1))))))))))
   3.0(1.0(0.0(5.0(0.0(3.0(2.0(x1))))))) -> 3.0(1.0(3.0(0.0(1.0(5.0(0.0(1.0(3.0(2.0(x1))))))))))
   3.0(1.0(0.0(5.0(0.0(3.0(2.1(x1))))))) -> 3.0(1.0(3.0(0.0(1.0(5.0(0.0(1.0(3.0(2.1(x1))))))))))
   0.0(5.0(2.0(0.0(5.1(4.0(2.1(x1))))))) -> 1.0(1.0(5.0(0.1(4.0(3.0(1.0(3.1(4.1(4.1(x1))))))))))
   2.0(1.0(1.0(2.0(5.1(4.0(3.0(x1))))))) -> 5.0(0.0(2.1(4.1(4.0(5.0(3.0(5.1(4.0(3.0(x1))))))))))
   2.0(1.0(1.0(2.0(5.1(4.0(3.1(x1))))))) -> 5.0(0.0(2.1(4.1(4.0(5.0(3.0(5.1(4.0(3.1(x1))))))))))

Q is empty.
We have to consider all minimal (P,Q,R)-chains.
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(11) DependencyGraphProof (EQUIVALENT)
The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 23 less nodes.
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(12)
TRUE