75.74/20.03	YES
76.13/20.12	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
76.13/20.12	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
76.13/20.12	
76.13/20.12	
76.13/20.12	Termination w.r.t. Q of the given QTRS could be proven:
76.13/20.12	
76.13/20.12	(0) QTRS
76.13/20.12	(1) QTRS Reverse [EQUIVALENT, 0 ms]
76.13/20.12	(2) QTRS
76.13/20.12	(3) FlatCCProof [EQUIVALENT, 0 ms]
76.13/20.12	(4) QTRS
76.13/20.12	(5) RootLabelingProof [EQUIVALENT, 45 ms]
76.13/20.12	(6) QTRS
76.13/20.12	(7) QTRSRRRProof [EQUIVALENT, 3559 ms]
76.13/20.12	(8) QTRS
76.13/20.12	(9) QTRSRRRProof [EQUIVALENT, 72 ms]
76.13/20.12	(10) QTRS
76.13/20.12	(11) QTRSRRRProof [EQUIVALENT, 67 ms]
76.13/20.12	(12) QTRS
76.13/20.12	(13) QTRSRRRProof [EQUIVALENT, 67 ms]
76.13/20.12	(14) QTRS
76.13/20.12	(15) QTRSRRRProof [EQUIVALENT, 54 ms]
76.13/20.12	(16) QTRS
76.13/20.12	(17) QTRSRRRProof [EQUIVALENT, 45 ms]
76.13/20.12	(18) QTRS
76.13/20.12	(19) QTRSRRRProof [EQUIVALENT, 16 ms]
76.13/20.12	(20) QTRS
76.13/20.12	(21) QTRSRRRProof [EQUIVALENT, 43 ms]
76.13/20.12	(22) QTRS
76.13/20.12	(23) QTRSRRRProof [EQUIVALENT, 24 ms]
76.13/20.12	(24) QTRS
76.13/20.12	(25) QTRSRRRProof [EQUIVALENT, 3 ms]
76.13/20.12	(26) QTRS
76.13/20.12	(27) QTRSRRRProof [EQUIVALENT, 9 ms]
76.13/20.12	(28) QTRS
76.13/20.12	(29) QTRSRRRProof [EQUIVALENT, 2 ms]
76.13/20.12	(30) QTRS
76.13/20.12	(31) QTRSRRRProof [EQUIVALENT, 2 ms]
76.13/20.12	(32) QTRS
76.13/20.12	(33) QTRSRRRProof [EQUIVALENT, 3 ms]
76.13/20.12	(34) QTRS
76.13/20.15	(35) RisEmptyProof [EQUIVALENT, 0 ms]
76.13/20.15	(36) YES
76.13/20.15	
76.13/20.15	
76.13/20.15	----------------------------------------
76.13/20.15	
76.13/20.15	(0)
76.13/20.15	Obligation:
76.13/20.15	Q restricted rewrite system:
76.13/20.15	The TRS R consists of the following rules:
76.13/20.15	
76.13/20.15	   0(1(2(x1))) -> 0(1(3(2(x1))))
76.13/20.15	   0(1(2(x1))) -> 0(2(1(0(x1))))
76.13/20.15	   0(1(2(x1))) -> 0(2(1(3(x1))))
76.13/20.15	   0(1(2(x1))) -> 0(2(2(1(x1))))
76.13/20.15	   0(1(2(x1))) -> 0(2(2(1(4(x1)))))
76.13/20.15	   0(1(2(x1))) -> 5(1(0(5(2(3(x1))))))
76.13/20.15	   0(2(4(x1))) -> 0(2(1(4(3(x1)))))
76.13/20.15	   0(4(2(x1))) -> 4(0(2(3(x1))))
76.13/20.15	   0(4(2(x1))) -> 4(0(5(5(2(x1)))))
76.13/20.15	   0(0(4(2(x1)))) -> 0(0(2(2(3(4(x1))))))
76.13/20.15	   0(1(2(2(x1)))) -> 0(2(1(0(2(x1)))))
76.13/20.15	   0(1(2(2(x1)))) -> 1(3(0(2(2(x1)))))
76.13/20.15	   0(1(2(4(x1)))) -> 0(1(4(2(3(x1)))))
76.13/20.15	   0(1(2(4(x1)))) -> 4(0(2(2(1(1(x1))))))
76.13/20.15	   0(1(2(4(x1)))) -> 4(0(5(5(2(1(x1))))))
76.13/20.15	   0(1(2(5(x1)))) -> 3(5(5(2(1(0(x1))))))
76.13/20.15	   0(1(4(2(x1)))) -> 0(5(2(1(4(x1)))))
76.13/20.15	   0(1(5(2(x1)))) -> 1(5(0(2(3(x1)))))
76.13/20.15	   0(1(5(2(x1)))) -> 0(2(2(1(0(5(x1))))))
76.13/20.15	   0(1(5(2(x1)))) -> 5(5(0(2(1(3(x1))))))
76.13/20.15	   0(2(4(2(x1)))) -> 0(5(4(3(2(2(x1))))))
76.13/20.15	   0(3(1(2(x1)))) -> 0(2(1(3(2(x1)))))
76.13/20.15	   0(3(1(2(x1)))) -> 1(0(2(5(3(x1)))))
76.13/20.15	   0(3(1(2(x1)))) -> 1(5(0(2(3(x1)))))
76.13/20.15	   0(3(1(2(x1)))) -> 3(0(2(2(1(x1)))))
76.13/20.15	   0(3(1(2(x1)))) -> 3(2(2(1(0(x1)))))
76.13/20.15	   0(3(1(2(x1)))) -> 0(3(2(3(1(3(x1))))))
76.13/20.15	   0(3(4(2(x1)))) -> 0(2(2(3(4(x1)))))
76.13/20.15	   5(0(1(2(x1)))) -> 1(3(2(5(0(x1)))))
76.13/20.15	   5(0(1(2(x1)))) -> 5(0(2(1(3(3(x1))))))
76.13/20.15	   0(1(1(2(5(x1))))) -> 5(0(2(5(1(1(x1))))))
76.13/20.15	   0(2(3(4(2(x1))))) -> 3(2(2(3(4(0(x1))))))
76.13/20.15	   0(3(1(2(5(x1))))) -> 2(3(1(3(0(5(x1))))))
76.13/20.15	   0(3(1(5(2(x1))))) -> 0(3(2(5(1(2(x1))))))
76.13/20.15	   0(3(4(1(4(x1))))) -> 0(5(3(1(4(4(x1))))))
76.13/20.15	   0(3(5(1(2(x1))))) -> 5(5(3(2(1(0(x1))))))
76.13/20.15	   0(4(0(4(2(x1))))) -> 4(4(0(0(2(2(x1))))))
76.13/20.15	   0(4(1(1(2(x1))))) -> 3(1(4(0(2(1(x1))))))
76.13/20.15	   0(4(1(2(2(x1))))) -> 4(1(0(2(2(3(x1))))))
76.13/20.15	   0(4(1(2(5(x1))))) -> 3(4(1(0(2(5(x1))))))
76.13/20.15	   0(4(2(1(2(x1))))) -> 4(1(3(2(0(2(x1))))))
76.13/20.15	   0(4(2(1(4(x1))))) -> 0(2(1(4(4(4(x1))))))
76.13/20.15	   0(4(2(5(2(x1))))) -> 5(4(3(2(2(0(x1))))))
76.13/20.15	   0(4(5(1(2(x1))))) -> 1(4(2(0(5(5(x1))))))
76.13/20.15	   0(4(5(1(2(x1))))) -> 4(0(2(5(1(1(x1))))))
76.13/20.15	   5(0(1(2(2(x1))))) -> 5(0(2(2(1(2(x1))))))
76.13/20.15	   5(0(2(4(2(x1))))) -> 0(2(2(5(1(4(x1))))))
76.13/20.15	   5(0(4(4(2(x1))))) -> 0(5(2(5(4(4(x1))))))
76.13/20.15	
76.13/20.15	Q is empty.
76.13/20.15	
76.13/20.15	----------------------------------------
76.13/20.15	
76.13/20.15	(1) QTRS Reverse (EQUIVALENT)
76.13/20.15	We applied the QTRS Reverse Processor [REVERSE].
76.13/20.15	----------------------------------------
76.13/20.15	
76.13/20.15	(2)
76.13/20.15	Obligation:
76.13/20.15	Q restricted rewrite system:
76.13/20.15	The TRS R consists of the following rules:
76.13/20.15	
76.13/20.15	   2(1(0(x1))) -> 2(3(1(0(x1))))
76.13/20.15	   2(1(0(x1))) -> 0(1(2(0(x1))))
76.13/20.15	   2(1(0(x1))) -> 3(1(2(0(x1))))
76.13/20.15	   2(1(0(x1))) -> 1(2(2(0(x1))))
76.13/20.15	   2(1(0(x1))) -> 4(1(2(2(0(x1)))))
76.13/20.15	   2(1(0(x1))) -> 3(2(5(0(1(5(x1))))))
76.13/20.15	   4(2(0(x1))) -> 3(4(1(2(0(x1)))))
76.13/20.15	   2(4(0(x1))) -> 3(2(0(4(x1))))
76.13/20.15	   2(4(0(x1))) -> 2(5(5(0(4(x1)))))
76.13/20.15	   2(4(0(0(x1)))) -> 4(3(2(2(0(0(x1))))))
76.13/20.15	   2(2(1(0(x1)))) -> 2(0(1(2(0(x1)))))
76.13/20.15	   2(2(1(0(x1)))) -> 2(2(0(3(1(x1)))))
76.13/20.15	   4(2(1(0(x1)))) -> 3(2(4(1(0(x1)))))
76.13/20.15	   4(2(1(0(x1)))) -> 1(1(2(2(0(4(x1))))))
76.13/20.15	   4(2(1(0(x1)))) -> 1(2(5(5(0(4(x1))))))
76.13/20.15	   5(2(1(0(x1)))) -> 0(1(2(5(5(3(x1))))))
76.13/20.15	   2(4(1(0(x1)))) -> 4(1(2(5(0(x1)))))
76.13/20.15	   2(5(1(0(x1)))) -> 3(2(0(5(1(x1)))))
76.13/20.15	   2(5(1(0(x1)))) -> 5(0(1(2(2(0(x1))))))
76.13/20.15	   2(5(1(0(x1)))) -> 3(1(2(0(5(5(x1))))))
76.13/20.15	   2(4(2(0(x1)))) -> 2(2(3(4(5(0(x1))))))
76.13/20.15	   2(1(3(0(x1)))) -> 2(3(1(2(0(x1)))))
76.13/20.15	   2(1(3(0(x1)))) -> 3(5(2(0(1(x1)))))
76.13/20.15	   2(1(3(0(x1)))) -> 3(2(0(5(1(x1)))))
76.13/20.15	   2(1(3(0(x1)))) -> 1(2(2(0(3(x1)))))
76.13/20.15	   2(1(3(0(x1)))) -> 0(1(2(2(3(x1)))))
76.13/20.15	   2(1(3(0(x1)))) -> 3(1(3(2(3(0(x1))))))
76.13/20.15	   2(4(3(0(x1)))) -> 4(3(2(2(0(x1)))))
76.13/20.15	   2(1(0(5(x1)))) -> 0(5(2(3(1(x1)))))
76.13/20.15	   2(1(0(5(x1)))) -> 3(3(1(2(0(5(x1))))))
76.13/20.15	   5(2(1(1(0(x1))))) -> 1(1(5(2(0(5(x1))))))
76.13/20.15	   2(4(3(2(0(x1))))) -> 0(4(3(2(2(3(x1))))))
76.13/20.15	   5(2(1(3(0(x1))))) -> 5(0(3(1(3(2(x1))))))
76.13/20.15	   2(5(1(3(0(x1))))) -> 2(1(5(2(3(0(x1))))))
76.13/20.15	   4(1(4(3(0(x1))))) -> 4(4(1(3(5(0(x1))))))
76.13/20.15	   2(1(5(3(0(x1))))) -> 0(1(2(3(5(5(x1))))))
76.13/20.15	   2(4(0(4(0(x1))))) -> 2(2(0(0(4(4(x1))))))
76.13/20.15	   2(1(1(4(0(x1))))) -> 1(2(0(4(1(3(x1))))))
76.13/20.15	   2(2(1(4(0(x1))))) -> 3(2(2(0(1(4(x1))))))
76.13/20.15	   5(2(1(4(0(x1))))) -> 5(2(0(1(4(3(x1))))))
76.13/20.15	   2(1(2(4(0(x1))))) -> 2(0(2(3(1(4(x1))))))
76.13/20.15	   4(1(2(4(0(x1))))) -> 4(4(4(1(2(0(x1))))))
76.13/20.15	   2(5(2(4(0(x1))))) -> 0(2(2(3(4(5(x1))))))
76.13/20.15	   2(1(5(4(0(x1))))) -> 5(5(0(2(4(1(x1))))))
76.13/20.15	   2(1(5(4(0(x1))))) -> 1(1(5(2(0(4(x1))))))
76.13/20.15	   2(2(1(0(5(x1))))) -> 2(1(2(2(0(5(x1))))))
76.13/20.15	   2(4(2(0(5(x1))))) -> 4(1(5(2(2(0(x1))))))
76.13/20.15	   2(4(4(0(5(x1))))) -> 4(4(5(2(5(0(x1))))))
76.13/20.15	
76.13/20.15	Q is empty.
76.13/20.15	
76.13/20.15	----------------------------------------
76.13/20.15	
76.13/20.15	(3) FlatCCProof (EQUIVALENT)
76.13/20.15	We used flat context closure [ROOTLAB]
76.13/20.15	As Q is empty the flat context closure was sound AND complete.
76.13/20.15	
76.13/20.15	----------------------------------------
76.13/20.15	
76.13/20.15	(4)
76.13/20.15	Obligation:
76.13/20.15	Q restricted rewrite system:
76.13/20.15	The TRS R consists of the following rules:
76.13/20.15	
76.13/20.15	   2(1(0(x1))) -> 2(3(1(0(x1))))
76.13/20.15	   2(4(0(x1))) -> 2(5(5(0(4(x1)))))
76.13/20.15	   2(2(1(0(x1)))) -> 2(0(1(2(0(x1)))))
76.13/20.15	   2(2(1(0(x1)))) -> 2(2(0(3(1(x1)))))
76.13/20.15	   2(4(2(0(x1)))) -> 2(2(3(4(5(0(x1))))))
76.13/20.15	   2(1(3(0(x1)))) -> 2(3(1(2(0(x1)))))
76.13/20.15	   5(2(1(3(0(x1))))) -> 5(0(3(1(3(2(x1))))))
76.13/20.15	   2(5(1(3(0(x1))))) -> 2(1(5(2(3(0(x1))))))
76.13/20.15	   4(1(4(3(0(x1))))) -> 4(4(1(3(5(0(x1))))))
76.13/20.15	   2(4(0(4(0(x1))))) -> 2(2(0(0(4(4(x1))))))
76.13/20.15	   5(2(1(4(0(x1))))) -> 5(2(0(1(4(3(x1))))))
76.13/20.15	   2(1(2(4(0(x1))))) -> 2(0(2(3(1(4(x1))))))
76.13/20.15	   4(1(2(4(0(x1))))) -> 4(4(4(1(2(0(x1))))))
76.13/20.15	   2(2(1(0(5(x1))))) -> 2(1(2(2(0(5(x1))))))
76.13/20.15	   1(2(1(0(x1)))) -> 1(0(1(2(0(x1)))))
76.13/20.15	   0(2(1(0(x1)))) -> 0(0(1(2(0(x1)))))
76.13/20.15	   3(2(1(0(x1)))) -> 3(0(1(2(0(x1)))))
76.13/20.15	   4(2(1(0(x1)))) -> 4(0(1(2(0(x1)))))
76.13/20.15	   5(2(1(0(x1)))) -> 5(0(1(2(0(x1)))))
76.13/20.15	   2(2(1(0(x1)))) -> 2(3(1(2(0(x1)))))
76.13/20.15	   1(2(1(0(x1)))) -> 1(3(1(2(0(x1)))))
76.13/20.15	   0(2(1(0(x1)))) -> 0(3(1(2(0(x1)))))
76.13/20.15	   3(2(1(0(x1)))) -> 3(3(1(2(0(x1)))))
76.13/20.15	   4(2(1(0(x1)))) -> 4(3(1(2(0(x1)))))
76.13/20.15	   5(2(1(0(x1)))) -> 5(3(1(2(0(x1)))))
76.13/20.15	   2(2(1(0(x1)))) -> 2(1(2(2(0(x1)))))
76.13/20.15	   1(2(1(0(x1)))) -> 1(1(2(2(0(x1)))))
76.13/20.15	   0(2(1(0(x1)))) -> 0(1(2(2(0(x1)))))
76.13/20.15	   3(2(1(0(x1)))) -> 3(1(2(2(0(x1)))))
76.13/20.15	   4(2(1(0(x1)))) -> 4(1(2(2(0(x1)))))
76.13/20.15	   5(2(1(0(x1)))) -> 5(1(2(2(0(x1)))))
76.13/20.15	   2(2(1(0(x1)))) -> 2(4(1(2(2(0(x1))))))
76.13/20.15	   1(2(1(0(x1)))) -> 1(4(1(2(2(0(x1))))))
76.13/20.15	   0(2(1(0(x1)))) -> 0(4(1(2(2(0(x1))))))
76.13/20.15	   3(2(1(0(x1)))) -> 3(4(1(2(2(0(x1))))))
76.13/20.15	   4(2(1(0(x1)))) -> 4(4(1(2(2(0(x1))))))
76.13/20.15	   5(2(1(0(x1)))) -> 5(4(1(2(2(0(x1))))))
76.13/20.15	   2(2(1(0(x1)))) -> 2(3(2(5(0(1(5(x1)))))))
76.13/20.15	   1(2(1(0(x1)))) -> 1(3(2(5(0(1(5(x1)))))))
76.13/20.15	   0(2(1(0(x1)))) -> 0(3(2(5(0(1(5(x1)))))))
76.13/20.15	   3(2(1(0(x1)))) -> 3(3(2(5(0(1(5(x1)))))))
76.13/20.15	   4(2(1(0(x1)))) -> 4(3(2(5(0(1(5(x1)))))))
76.13/20.15	   5(2(1(0(x1)))) -> 5(3(2(5(0(1(5(x1)))))))
76.13/20.15	   2(4(2(0(x1)))) -> 2(3(4(1(2(0(x1))))))
76.13/20.15	   1(4(2(0(x1)))) -> 1(3(4(1(2(0(x1))))))
76.13/20.15	   0(4(2(0(x1)))) -> 0(3(4(1(2(0(x1))))))
76.13/20.15	   3(4(2(0(x1)))) -> 3(3(4(1(2(0(x1))))))
76.13/20.15	   4(4(2(0(x1)))) -> 4(3(4(1(2(0(x1))))))
76.13/20.15	   5(4(2(0(x1)))) -> 5(3(4(1(2(0(x1))))))
76.13/20.15	   2(2(4(0(x1)))) -> 2(3(2(0(4(x1)))))
76.13/20.15	   1(2(4(0(x1)))) -> 1(3(2(0(4(x1)))))
76.13/20.15	   0(2(4(0(x1)))) -> 0(3(2(0(4(x1)))))
76.13/20.15	   3(2(4(0(x1)))) -> 3(3(2(0(4(x1)))))
76.13/20.15	   4(2(4(0(x1)))) -> 4(3(2(0(4(x1)))))
76.13/20.15	   5(2(4(0(x1)))) -> 5(3(2(0(4(x1)))))
76.13/20.15	   2(2(4(0(0(x1))))) -> 2(4(3(2(2(0(0(x1)))))))
76.13/20.15	   1(2(4(0(0(x1))))) -> 1(4(3(2(2(0(0(x1)))))))
76.13/20.15	   0(2(4(0(0(x1))))) -> 0(4(3(2(2(0(0(x1)))))))
76.13/20.15	   3(2(4(0(0(x1))))) -> 3(4(3(2(2(0(0(x1)))))))
76.13/20.15	   4(2(4(0(0(x1))))) -> 4(4(3(2(2(0(0(x1)))))))
76.13/20.15	   5(2(4(0(0(x1))))) -> 5(4(3(2(2(0(0(x1)))))))
76.13/20.15	   2(4(2(1(0(x1))))) -> 2(3(2(4(1(0(x1))))))
76.13/20.15	   1(4(2(1(0(x1))))) -> 1(3(2(4(1(0(x1))))))
76.13/20.15	   0(4(2(1(0(x1))))) -> 0(3(2(4(1(0(x1))))))
76.13/20.15	   3(4(2(1(0(x1))))) -> 3(3(2(4(1(0(x1))))))
76.13/20.15	   4(4(2(1(0(x1))))) -> 4(3(2(4(1(0(x1))))))
76.13/20.15	   5(4(2(1(0(x1))))) -> 5(3(2(4(1(0(x1))))))
76.13/20.15	   2(4(2(1(0(x1))))) -> 2(1(1(2(2(0(4(x1)))))))
76.13/20.15	   1(4(2(1(0(x1))))) -> 1(1(1(2(2(0(4(x1)))))))
76.13/20.15	   0(4(2(1(0(x1))))) -> 0(1(1(2(2(0(4(x1)))))))
76.13/20.15	   3(4(2(1(0(x1))))) -> 3(1(1(2(2(0(4(x1)))))))
76.13/20.15	   4(4(2(1(0(x1))))) -> 4(1(1(2(2(0(4(x1)))))))
76.13/20.15	   5(4(2(1(0(x1))))) -> 5(1(1(2(2(0(4(x1)))))))
76.13/20.15	   2(4(2(1(0(x1))))) -> 2(1(2(5(5(0(4(x1)))))))
76.13/20.15	   1(4(2(1(0(x1))))) -> 1(1(2(5(5(0(4(x1)))))))
76.13/20.15	   0(4(2(1(0(x1))))) -> 0(1(2(5(5(0(4(x1)))))))
76.13/20.15	   3(4(2(1(0(x1))))) -> 3(1(2(5(5(0(4(x1)))))))
76.13/20.15	   4(4(2(1(0(x1))))) -> 4(1(2(5(5(0(4(x1)))))))
76.13/20.15	   5(4(2(1(0(x1))))) -> 5(1(2(5(5(0(4(x1)))))))
76.13/20.15	   2(5(2(1(0(x1))))) -> 2(0(1(2(5(5(3(x1)))))))
76.13/20.15	   1(5(2(1(0(x1))))) -> 1(0(1(2(5(5(3(x1)))))))
76.13/20.15	   0(5(2(1(0(x1))))) -> 0(0(1(2(5(5(3(x1)))))))
76.13/20.15	   3(5(2(1(0(x1))))) -> 3(0(1(2(5(5(3(x1)))))))
76.13/20.15	   4(5(2(1(0(x1))))) -> 4(0(1(2(5(5(3(x1)))))))
76.13/20.15	   5(5(2(1(0(x1))))) -> 5(0(1(2(5(5(3(x1)))))))
76.13/20.15	   2(2(4(1(0(x1))))) -> 2(4(1(2(5(0(x1))))))
76.13/20.15	   1(2(4(1(0(x1))))) -> 1(4(1(2(5(0(x1))))))
76.13/20.15	   0(2(4(1(0(x1))))) -> 0(4(1(2(5(0(x1))))))
76.13/20.15	   3(2(4(1(0(x1))))) -> 3(4(1(2(5(0(x1))))))
76.13/20.15	   4(2(4(1(0(x1))))) -> 4(4(1(2(5(0(x1))))))
76.13/20.15	   5(2(4(1(0(x1))))) -> 5(4(1(2(5(0(x1))))))
76.13/20.15	   2(2(5(1(0(x1))))) -> 2(3(2(0(5(1(x1))))))
76.13/20.15	   1(2(5(1(0(x1))))) -> 1(3(2(0(5(1(x1))))))
76.13/20.15	   0(2(5(1(0(x1))))) -> 0(3(2(0(5(1(x1))))))
76.13/20.15	   3(2(5(1(0(x1))))) -> 3(3(2(0(5(1(x1))))))
76.13/20.15	   4(2(5(1(0(x1))))) -> 4(3(2(0(5(1(x1))))))
76.13/20.15	   5(2(5(1(0(x1))))) -> 5(3(2(0(5(1(x1))))))
76.13/20.15	   2(2(5(1(0(x1))))) -> 2(5(0(1(2(2(0(x1)))))))
76.13/20.15	   1(2(5(1(0(x1))))) -> 1(5(0(1(2(2(0(x1)))))))
76.13/20.15	   0(2(5(1(0(x1))))) -> 0(5(0(1(2(2(0(x1)))))))
76.13/20.15	   3(2(5(1(0(x1))))) -> 3(5(0(1(2(2(0(x1)))))))
76.13/20.15	   4(2(5(1(0(x1))))) -> 4(5(0(1(2(2(0(x1)))))))
76.13/20.15	   5(2(5(1(0(x1))))) -> 5(5(0(1(2(2(0(x1)))))))
76.13/20.15	   2(2(5(1(0(x1))))) -> 2(3(1(2(0(5(5(x1)))))))
76.13/20.15	   1(2(5(1(0(x1))))) -> 1(3(1(2(0(5(5(x1)))))))
76.13/20.15	   0(2(5(1(0(x1))))) -> 0(3(1(2(0(5(5(x1)))))))
76.13/20.15	   3(2(5(1(0(x1))))) -> 3(3(1(2(0(5(5(x1)))))))
76.13/20.15	   4(2(5(1(0(x1))))) -> 4(3(1(2(0(5(5(x1)))))))
76.13/20.15	   5(2(5(1(0(x1))))) -> 5(3(1(2(0(5(5(x1)))))))
76.13/20.15	   2(2(1(3(0(x1))))) -> 2(3(5(2(0(1(x1))))))
76.13/20.15	   1(2(1(3(0(x1))))) -> 1(3(5(2(0(1(x1))))))
76.13/20.15	   0(2(1(3(0(x1))))) -> 0(3(5(2(0(1(x1))))))
76.13/20.15	   3(2(1(3(0(x1))))) -> 3(3(5(2(0(1(x1))))))
76.13/20.15	   4(2(1(3(0(x1))))) -> 4(3(5(2(0(1(x1))))))
76.13/20.15	   5(2(1(3(0(x1))))) -> 5(3(5(2(0(1(x1))))))
76.13/20.15	   2(2(1(3(0(x1))))) -> 2(3(2(0(5(1(x1))))))
76.13/20.15	   1(2(1(3(0(x1))))) -> 1(3(2(0(5(1(x1))))))
76.13/20.15	   0(2(1(3(0(x1))))) -> 0(3(2(0(5(1(x1))))))
76.13/20.15	   3(2(1(3(0(x1))))) -> 3(3(2(0(5(1(x1))))))
76.13/20.15	   4(2(1(3(0(x1))))) -> 4(3(2(0(5(1(x1))))))
76.13/20.15	   5(2(1(3(0(x1))))) -> 5(3(2(0(5(1(x1))))))
76.13/20.15	   2(2(1(3(0(x1))))) -> 2(1(2(2(0(3(x1))))))
76.13/20.15	   1(2(1(3(0(x1))))) -> 1(1(2(2(0(3(x1))))))
76.13/20.15	   0(2(1(3(0(x1))))) -> 0(1(2(2(0(3(x1))))))
76.13/20.15	   3(2(1(3(0(x1))))) -> 3(1(2(2(0(3(x1))))))
76.13/20.15	   4(2(1(3(0(x1))))) -> 4(1(2(2(0(3(x1))))))
76.13/20.15	   5(2(1(3(0(x1))))) -> 5(1(2(2(0(3(x1))))))
76.13/20.15	   2(2(1(3(0(x1))))) -> 2(0(1(2(2(3(x1))))))
76.13/20.15	   1(2(1(3(0(x1))))) -> 1(0(1(2(2(3(x1))))))
76.13/20.15	   0(2(1(3(0(x1))))) -> 0(0(1(2(2(3(x1))))))
76.13/20.15	   3(2(1(3(0(x1))))) -> 3(0(1(2(2(3(x1))))))
76.13/20.15	   4(2(1(3(0(x1))))) -> 4(0(1(2(2(3(x1))))))
76.13/20.15	   5(2(1(3(0(x1))))) -> 5(0(1(2(2(3(x1))))))
76.13/20.15	   2(2(1(3(0(x1))))) -> 2(3(1(3(2(3(0(x1)))))))
76.13/20.15	   1(2(1(3(0(x1))))) -> 1(3(1(3(2(3(0(x1)))))))
76.13/20.15	   0(2(1(3(0(x1))))) -> 0(3(1(3(2(3(0(x1)))))))
76.13/20.15	   3(2(1(3(0(x1))))) -> 3(3(1(3(2(3(0(x1)))))))
76.13/20.15	   4(2(1(3(0(x1))))) -> 4(3(1(3(2(3(0(x1)))))))
76.13/20.15	   5(2(1(3(0(x1))))) -> 5(3(1(3(2(3(0(x1)))))))
76.13/20.15	   2(2(4(3(0(x1))))) -> 2(4(3(2(2(0(x1))))))
76.13/20.15	   1(2(4(3(0(x1))))) -> 1(4(3(2(2(0(x1))))))
76.13/20.15	   0(2(4(3(0(x1))))) -> 0(4(3(2(2(0(x1))))))
76.13/20.15	   3(2(4(3(0(x1))))) -> 3(4(3(2(2(0(x1))))))
76.13/20.15	   4(2(4(3(0(x1))))) -> 4(4(3(2(2(0(x1))))))
76.13/20.15	   5(2(4(3(0(x1))))) -> 5(4(3(2(2(0(x1))))))
76.13/20.15	   2(2(1(0(5(x1))))) -> 2(0(5(2(3(1(x1))))))
76.13/20.15	   1(2(1(0(5(x1))))) -> 1(0(5(2(3(1(x1))))))
76.13/20.15	   0(2(1(0(5(x1))))) -> 0(0(5(2(3(1(x1))))))
76.13/20.15	   3(2(1(0(5(x1))))) -> 3(0(5(2(3(1(x1))))))
76.13/20.15	   4(2(1(0(5(x1))))) -> 4(0(5(2(3(1(x1))))))
76.13/20.15	   5(2(1(0(5(x1))))) -> 5(0(5(2(3(1(x1))))))
76.13/20.15	   2(2(1(0(5(x1))))) -> 2(3(3(1(2(0(5(x1)))))))
76.13/20.15	   1(2(1(0(5(x1))))) -> 1(3(3(1(2(0(5(x1)))))))
76.13/20.15	   0(2(1(0(5(x1))))) -> 0(3(3(1(2(0(5(x1)))))))
76.13/20.15	   3(2(1(0(5(x1))))) -> 3(3(3(1(2(0(5(x1)))))))
76.13/20.15	   4(2(1(0(5(x1))))) -> 4(3(3(1(2(0(5(x1)))))))
76.13/20.15	   5(2(1(0(5(x1))))) -> 5(3(3(1(2(0(5(x1)))))))
76.13/20.15	   2(5(2(1(1(0(x1)))))) -> 2(1(1(5(2(0(5(x1)))))))
76.13/20.15	   1(5(2(1(1(0(x1)))))) -> 1(1(1(5(2(0(5(x1)))))))
76.13/20.15	   0(5(2(1(1(0(x1)))))) -> 0(1(1(5(2(0(5(x1)))))))
76.13/20.15	   3(5(2(1(1(0(x1)))))) -> 3(1(1(5(2(0(5(x1)))))))
76.13/20.15	   4(5(2(1(1(0(x1)))))) -> 4(1(1(5(2(0(5(x1)))))))
76.13/20.15	   5(5(2(1(1(0(x1)))))) -> 5(1(1(5(2(0(5(x1)))))))
76.13/20.15	   2(2(4(3(2(0(x1)))))) -> 2(0(4(3(2(2(3(x1)))))))
76.13/20.15	   1(2(4(3(2(0(x1)))))) -> 1(0(4(3(2(2(3(x1)))))))
76.13/20.15	   0(2(4(3(2(0(x1)))))) -> 0(0(4(3(2(2(3(x1)))))))
76.13/20.15	   3(2(4(3(2(0(x1)))))) -> 3(0(4(3(2(2(3(x1)))))))
76.13/20.15	   4(2(4(3(2(0(x1)))))) -> 4(0(4(3(2(2(3(x1)))))))
76.13/20.15	   5(2(4(3(2(0(x1)))))) -> 5(0(4(3(2(2(3(x1)))))))
76.13/20.15	   2(2(1(5(3(0(x1)))))) -> 2(0(1(2(3(5(5(x1)))))))
76.13/20.15	   1(2(1(5(3(0(x1)))))) -> 1(0(1(2(3(5(5(x1)))))))
76.13/20.15	   0(2(1(5(3(0(x1)))))) -> 0(0(1(2(3(5(5(x1)))))))
76.13/20.15	   3(2(1(5(3(0(x1)))))) -> 3(0(1(2(3(5(5(x1)))))))
76.13/20.15	   4(2(1(5(3(0(x1)))))) -> 4(0(1(2(3(5(5(x1)))))))
76.13/20.15	   5(2(1(5(3(0(x1)))))) -> 5(0(1(2(3(5(5(x1)))))))
76.13/20.15	   2(2(1(1(4(0(x1)))))) -> 2(1(2(0(4(1(3(x1)))))))
76.13/20.15	   1(2(1(1(4(0(x1)))))) -> 1(1(2(0(4(1(3(x1)))))))
76.13/20.15	   0(2(1(1(4(0(x1)))))) -> 0(1(2(0(4(1(3(x1)))))))
76.13/20.15	   3(2(1(1(4(0(x1)))))) -> 3(1(2(0(4(1(3(x1)))))))
76.13/20.15	   4(2(1(1(4(0(x1)))))) -> 4(1(2(0(4(1(3(x1)))))))
76.13/20.15	   5(2(1(1(4(0(x1)))))) -> 5(1(2(0(4(1(3(x1)))))))
76.13/20.15	   2(2(2(1(4(0(x1)))))) -> 2(3(2(2(0(1(4(x1)))))))
76.13/20.15	   1(2(2(1(4(0(x1)))))) -> 1(3(2(2(0(1(4(x1)))))))
76.13/20.15	   0(2(2(1(4(0(x1)))))) -> 0(3(2(2(0(1(4(x1)))))))
76.13/20.15	   3(2(2(1(4(0(x1)))))) -> 3(3(2(2(0(1(4(x1)))))))
76.13/20.15	   4(2(2(1(4(0(x1)))))) -> 4(3(2(2(0(1(4(x1)))))))
76.13/20.15	   5(2(2(1(4(0(x1)))))) -> 5(3(2(2(0(1(4(x1)))))))
76.13/20.15	   2(2(5(2(4(0(x1)))))) -> 2(0(2(2(3(4(5(x1)))))))
76.13/20.15	   1(2(5(2(4(0(x1)))))) -> 1(0(2(2(3(4(5(x1)))))))
76.13/20.15	   0(2(5(2(4(0(x1)))))) -> 0(0(2(2(3(4(5(x1)))))))
76.13/20.15	   3(2(5(2(4(0(x1)))))) -> 3(0(2(2(3(4(5(x1)))))))
76.13/20.15	   4(2(5(2(4(0(x1)))))) -> 4(0(2(2(3(4(5(x1)))))))
76.13/20.15	   5(2(5(2(4(0(x1)))))) -> 5(0(2(2(3(4(5(x1)))))))
76.13/20.15	   2(2(1(5(4(0(x1)))))) -> 2(5(5(0(2(4(1(x1)))))))
76.13/20.15	   1(2(1(5(4(0(x1)))))) -> 1(5(5(0(2(4(1(x1)))))))
76.13/20.15	   0(2(1(5(4(0(x1)))))) -> 0(5(5(0(2(4(1(x1)))))))
76.13/20.15	   3(2(1(5(4(0(x1)))))) -> 3(5(5(0(2(4(1(x1)))))))
76.13/20.15	   4(2(1(5(4(0(x1)))))) -> 4(5(5(0(2(4(1(x1)))))))
76.13/20.15	   5(2(1(5(4(0(x1)))))) -> 5(5(5(0(2(4(1(x1)))))))
76.13/20.15	   2(2(1(5(4(0(x1)))))) -> 2(1(1(5(2(0(4(x1)))))))
76.13/20.15	   1(2(1(5(4(0(x1)))))) -> 1(1(1(5(2(0(4(x1)))))))
76.13/20.15	   0(2(1(5(4(0(x1)))))) -> 0(1(1(5(2(0(4(x1)))))))
76.13/20.15	   3(2(1(5(4(0(x1)))))) -> 3(1(1(5(2(0(4(x1)))))))
76.13/20.15	   4(2(1(5(4(0(x1)))))) -> 4(1(1(5(2(0(4(x1)))))))
76.13/20.15	   5(2(1(5(4(0(x1)))))) -> 5(1(1(5(2(0(4(x1)))))))
76.13/20.15	   2(2(4(2(0(5(x1)))))) -> 2(4(1(5(2(2(0(x1)))))))
76.13/20.15	   1(2(4(2(0(5(x1)))))) -> 1(4(1(5(2(2(0(x1)))))))
76.13/20.15	   0(2(4(2(0(5(x1)))))) -> 0(4(1(5(2(2(0(x1)))))))
76.13/20.15	   3(2(4(2(0(5(x1)))))) -> 3(4(1(5(2(2(0(x1)))))))
76.13/20.15	   4(2(4(2(0(5(x1)))))) -> 4(4(1(5(2(2(0(x1)))))))
76.13/20.15	   5(2(4(2(0(5(x1)))))) -> 5(4(1(5(2(2(0(x1)))))))
76.13/20.15	   2(2(4(4(0(5(x1)))))) -> 2(4(4(5(2(5(0(x1)))))))
76.13/20.15	   1(2(4(4(0(5(x1)))))) -> 1(4(4(5(2(5(0(x1)))))))
76.13/20.15	   0(2(4(4(0(5(x1)))))) -> 0(4(4(5(2(5(0(x1)))))))
76.13/20.15	   3(2(4(4(0(5(x1)))))) -> 3(4(4(5(2(5(0(x1)))))))
76.13/20.15	   4(2(4(4(0(5(x1)))))) -> 4(4(4(5(2(5(0(x1)))))))
76.13/20.15	   5(2(4(4(0(5(x1)))))) -> 5(4(4(5(2(5(0(x1)))))))
76.13/20.15	
76.13/20.15	Q is empty.
76.13/20.15	
76.13/20.15	----------------------------------------
76.13/20.15	
76.13/20.15	(5) RootLabelingProof (EQUIVALENT)
76.13/20.15	We used plain root labeling [ROOTLAB] with the following heuristic:
76.13/20.15	LabelAll: All function symbols get labeled
76.13/20.15	
76.13/20.15	As Q is empty the root labeling was sound AND complete.
76.13/20.15	
76.13/20.15	----------------------------------------
76.13/20.15	
76.13/20.15	(6)
76.13/20.15	Obligation:
76.13/20.15	Q restricted rewrite system:
76.13/20.15	The TRS R consists of the following rules:
76.13/20.15	
76.13/20.15	   2_{1_1}(1_{0_1}(0_{2_1}(x1))) -> 2_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(x1))))
76.13/20.15	   2_{1_1}(1_{0_1}(0_{1_1}(x1))) -> 2_{3_1}(3_{1_1}(1_{0_1}(0_{1_1}(x1))))
76.13/20.15	   2_{1_1}(1_{0_1}(0_{0_1}(x1))) -> 2_{3_1}(3_{1_1}(1_{0_1}(0_{0_1}(x1))))
76.13/20.15	   2_{1_1}(1_{0_1}(0_{3_1}(x1))) -> 2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(x1))))
76.13/20.15	   2_{1_1}(1_{0_1}(0_{4_1}(x1))) -> 2_{3_1}(3_{1_1}(1_{0_1}(0_{4_1}(x1))))
76.13/20.15	   2_{1_1}(1_{0_1}(0_{5_1}(x1))) -> 2_{3_1}(3_{1_1}(1_{0_1}(0_{5_1}(x1))))
76.13/20.15	   2_{4_1}(4_{0_1}(0_{2_1}(x1))) -> 2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))))
76.13/20.15	   2_{4_1}(4_{0_1}(0_{1_1}(x1))) -> 2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))))
76.13/20.15	   2_{4_1}(4_{0_1}(0_{0_1}(x1))) -> 2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))))
76.13/20.15	   2_{4_1}(4_{0_1}(0_{3_1}(x1))) -> 2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))))
76.13/20.15	   2_{4_1}(4_{0_1}(0_{4_1}(x1))) -> 2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))))
76.13/20.15	   2_{4_1}(4_{0_1}(0_{5_1}(x1))) -> 2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1)))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1)))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1)))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 2_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(x1)))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 2_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{1_1}(x1)))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 2_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(x1)))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 2_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(x1)))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 2_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{4_1}(x1)))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 2_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{5_1}(x1)))))
76.13/20.15	   2_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))) -> 2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(0_{2_1}(x1))))))
76.13/20.15	   2_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))) -> 2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(0_{1_1}(x1))))))
76.13/20.15	   2_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))) -> 2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(0_{0_1}(x1))))))
76.13/20.15	   2_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))) -> 2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(x1))))))
76.13/20.15	   2_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))) -> 2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(x1))))))
76.13/20.15	   2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))) -> 2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(x1))))))
76.13/20.15	   2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1)))) -> 2_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
76.13/20.15	   2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1)))) -> 2_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
76.13/20.15	   2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1)))) -> 2_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
76.13/20.15	   2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1)))) -> 2_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1)))))
76.13/20.15	   2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1)))) -> 2_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1)))))
76.13/20.15	   2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1)))) -> 2_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1)))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 5_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{2_1}(x1))))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 5_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(x1))))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 5_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(x1))))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 5_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(x1))))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 5_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{4_1}(x1))))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 5_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{5_1}(x1))))))
76.13/20.15	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(x1))))))
76.13/20.15	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{1_1}(x1))))))
76.13/20.15	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(x1))))))
76.13/20.15	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(x1))))))
76.13/20.15	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(x1))))))
76.13/20.15	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(x1))))))
76.13/20.15	   4_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{0_1}(0_{2_1}(x1))))))
76.13/20.15	   4_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(x1))))))
76.13/20.15	   4_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(x1))))))
76.13/20.15	   4_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{0_1}(0_{3_1}(x1))))))
76.13/20.15	   4_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{0_1}(0_{4_1}(x1))))))
76.13/20.15	   4_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(x1))))))
76.13/20.15	   2_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{2_1}(x1))))))
76.13/20.15	   2_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{1_1}(x1))))))
76.13/20.15	   2_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(x1))))))
76.13/20.15	   2_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(x1))))))
76.13/20.15	   2_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{4_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{4_1}(x1))))))
76.13/20.15	   2_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(x1))))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))))
76.13/20.15	   2_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(x1))))))
76.13/20.15	   2_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{4_1}(4_{1_1}(x1))))))
76.13/20.15	   2_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(x1))))))
76.13/20.15	   2_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(x1))))))
76.13/20.15	   2_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(x1))))))
76.13/20.15	   2_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{4_1}(4_{5_1}(x1))))))
76.13/20.15	   4_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1))))) -> 4_{4_1}(4_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1))))))
76.13/20.15	   4_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1))))) -> 4_{4_1}(4_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1))))))
76.13/20.15	   4_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1))))) -> 4_{4_1}(4_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1))))))
76.13/20.15	   4_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1))))) -> 4_{4_1}(4_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1))))))
76.13/20.15	   4_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1))))) -> 4_{4_1}(4_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1))))))
76.13/20.15	   4_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1))))) -> 4_{4_1}(4_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1))))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1))))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1))))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1))))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1))))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1))))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1))))))
76.13/20.15	   1_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
76.13/20.15	   1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
76.13/20.15	   1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
76.13/20.15	   1_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1)))))
76.13/20.15	   1_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1)))))
76.13/20.15	   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1)))))
76.13/20.15	   0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
76.13/20.15	   0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
76.13/20.15	   0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
76.13/20.15	   0_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1)))))
76.13/20.15	   0_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1)))))
76.13/20.15	   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1)))))
76.13/20.15	   3_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
76.13/20.15	   3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
76.13/20.15	   3_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
76.13/20.15	   3_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1)))))
76.13/20.15	   3_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1)))))
76.13/20.15	   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1)))))
76.13/20.15	   4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
76.13/20.15	   4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
76.13/20.15	   4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
76.13/20.15	   4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1)))))
76.13/20.15	   4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1)))))
76.13/20.15	   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1)))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1)))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1)))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1)))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 2_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 2_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 2_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 2_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1)))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 2_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1)))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 2_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1)))))
76.13/20.15	   1_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 1_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
76.13/20.15	   1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 1_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
76.13/20.15	   1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 1_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
76.13/20.15	   1_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 1_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1)))))
76.13/20.15	   1_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 1_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1)))))
76.13/20.15	   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 1_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1)))))
76.13/20.15	   0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 0_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
76.13/20.15	   0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 0_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
76.13/20.15	   0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 0_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
76.13/20.15	   0_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 0_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1)))))
76.13/20.15	   0_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 0_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1)))))
76.13/20.15	   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 0_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1)))))
76.13/20.15	   3_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
76.13/20.15	   3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
76.13/20.15	   3_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
76.13/20.15	   3_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1)))))
76.13/20.15	   3_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1)))))
76.13/20.15	   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1)))))
76.13/20.15	   4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 4_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
76.13/20.15	   4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 4_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
76.13/20.15	   4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 4_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
76.13/20.15	   4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 4_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1)))))
76.13/20.15	   4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 4_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1)))))
76.13/20.15	   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 4_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1)))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 5_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 5_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 5_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 5_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1)))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 5_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1)))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 5_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1)))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))
76.13/20.15	   1_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))
76.13/20.15	   1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))
76.13/20.15	   1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))
76.13/20.15	   1_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))
76.13/20.15	   1_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))
76.13/20.15	   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))
76.13/20.15	   0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))
76.13/20.15	   0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))
76.13/20.15	   0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))
76.13/20.15	   0_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))
76.13/20.15	   0_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))
76.13/20.15	   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))
76.13/20.15	   3_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 3_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))
76.13/20.15	   3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 3_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))
76.13/20.15	   3_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 3_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))
76.13/20.15	   3_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 3_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))
76.13/20.15	   3_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 3_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))
76.13/20.15	   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 3_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))
76.13/20.15	   4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))
76.13/20.15	   4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))
76.13/20.15	   4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))
76.13/20.15	   4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))
76.13/20.15	   4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))
76.13/20.15	   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 5_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 5_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 5_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 5_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 5_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 5_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
76.13/20.15	   1_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
76.13/20.15	   1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
76.13/20.15	   1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
76.13/20.15	   1_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
76.13/20.15	   1_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
76.13/20.15	   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
76.13/20.15	   0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
76.13/20.15	   0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
76.13/20.15	   0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
76.13/20.15	   0_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
76.13/20.15	   0_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
76.13/20.15	   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
76.13/20.15	   3_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 3_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
76.13/20.15	   3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 3_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
76.13/20.15	   3_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 3_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
76.13/20.15	   3_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 3_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
76.13/20.15	   3_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 3_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
76.13/20.15	   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 3_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
76.13/20.15	   4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 4_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
76.13/20.15	   4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 4_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
76.13/20.15	   4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 4_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
76.13/20.15	   4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 4_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
76.13/20.15	   4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 4_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
76.13/20.15	   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 4_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 2_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{2_1}(x1)))))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 2_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(x1)))))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 2_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(x1)))))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 2_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(x1)))))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 2_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(x1)))))))
76.13/20.15	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 2_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{5_1}(x1)))))))
76.13/20.15	   1_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 1_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{2_1}(x1)))))))
76.13/20.15	   1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 1_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(x1)))))))
76.13/20.15	   1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 1_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(x1)))))))
76.13/20.15	   1_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 1_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(x1)))))))
76.13/20.15	   1_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 1_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(x1)))))))
76.13/20.15	   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 1_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{5_1}(x1)))))))
76.13/20.15	   0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 0_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{2_1}(x1)))))))
76.13/20.15	   0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 0_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(x1)))))))
76.13/20.15	   0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 0_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(x1)))))))
76.13/20.15	   0_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 0_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(x1)))))))
76.13/20.15	   0_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 0_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(x1)))))))
76.13/20.15	   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 0_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{5_1}(x1)))))))
76.13/20.15	   3_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 3_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{2_1}(x1)))))))
76.13/20.15	   3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 3_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(x1)))))))
76.13/20.15	   3_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 3_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(x1)))))))
76.13/20.15	   3_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 3_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(x1)))))))
76.13/20.15	   3_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 3_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(x1)))))))
76.13/20.15	   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 3_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{5_1}(x1)))))))
76.13/20.15	   4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 4_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{2_1}(x1)))))))
76.13/20.15	   4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 4_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(x1)))))))
76.13/20.15	   4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 4_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(x1)))))))
76.13/20.15	   4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 4_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(x1)))))))
76.13/20.15	   4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 4_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(x1)))))))
76.13/20.15	   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 4_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{5_1}(x1)))))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 5_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{2_1}(x1)))))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 5_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(x1)))))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 5_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(x1)))))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 5_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(x1)))))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 5_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(x1)))))))
76.13/20.15	   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 5_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{5_1}(x1)))))))
76.13/20.15	   2_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))) -> 2_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1))))))
76.13/20.15	   2_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))) -> 2_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1))))))
76.13/20.15	   2_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))) -> 2_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1))))))
76.13/20.15	   2_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))) -> 2_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1))))))
76.13/20.15	   2_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))) -> 2_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1))))))
76.13/20.15	   2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))) -> 2_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1))))))
76.13/20.15	   1_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))) -> 1_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1))))))
76.13/20.15	   1_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))) -> 1_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1))))))
76.13/20.15	   1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))) -> 1_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1))))))
76.13/20.15	   1_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))) -> 1_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1))))))
76.13/20.15	   1_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))) -> 1_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1))))))
76.13/20.15	   1_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))) -> 1_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1))))))
76.13/20.15	   0_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))) -> 0_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1))))))
76.13/20.15	   0_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))) -> 0_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1))))))
76.13/20.15	   0_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))) -> 0_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1))))))
76.13/20.15	   0_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))) -> 0_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1))))))
76.13/20.15	   0_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))) -> 0_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1))))))
76.13/20.15	   0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))) -> 0_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1))))))
76.13/20.15	   3_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1))))))
76.13/20.15	   3_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1))))))
76.13/20.15	   3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1))))))
76.13/20.15	   3_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1))))))
76.13/20.15	   3_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1))))))
76.13/20.15	   3_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1))))))
76.13/20.15	   4_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1))))))
76.13/20.15	   4_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1))))))
76.13/20.15	   4_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1))))))
76.13/20.15	   4_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1))))))
76.13/20.15	   4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1))))))
76.13/20.15	   4_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1))))))
76.13/20.15	   5_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))) -> 5_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1))))))
76.13/20.15	   5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))) -> 5_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1))))))
76.13/20.15	   5_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))) -> 5_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1))))))
76.13/20.15	   5_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))) -> 5_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1))))))
76.13/20.15	   5_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))) -> 5_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1))))))
76.13/20.15	   5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))) -> 5_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1))))))
76.13/20.15	   2_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1)))) -> 2_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))
76.13/20.15	   2_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1)))) -> 2_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))
76.13/20.15	   2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1)))) -> 2_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))
76.13/20.15	   2_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1)))) -> 2_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))
76.13/20.15	   2_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1)))) -> 2_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))
76.13/20.15	   2_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1)))) -> 2_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))
76.13/20.15	   1_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1)))) -> 1_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))
76.13/20.15	   1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1)))) -> 1_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))
76.13/20.15	   1_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1)))) -> 1_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))
76.13/20.15	   1_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1)))) -> 1_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))
76.13/20.15	   1_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1)))) -> 1_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))
76.13/20.15	   1_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1)))) -> 1_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))
76.13/20.15	   0_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1)))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))
76.13/20.15	   0_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1)))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))
76.13/20.15	   0_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1)))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))
76.13/20.15	   0_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1)))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))
76.13/20.15	   0_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1)))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))
76.13/20.15	   0_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1)))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))
76.13/20.15	   3_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1)))) -> 3_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))
76.13/20.15	   3_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1)))) -> 3_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))
76.13/20.15	   3_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1)))) -> 3_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))
76.13/20.15	   3_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1)))) -> 3_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))
76.13/20.15	   3_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1)))) -> 3_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))
76.13/20.15	   3_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1)))) -> 3_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))
76.13/20.15	   4_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1)))) -> 4_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))
76.13/20.15	   4_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1)))) -> 4_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))
76.13/20.15	   4_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1)))) -> 4_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))
76.13/20.15	   4_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1)))) -> 4_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))
76.13/20.15	   4_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1)))) -> 4_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))
76.13/20.15	   4_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1)))) -> 4_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))
76.13/20.15	   5_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1)))) -> 5_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))
76.13/20.15	   5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1)))) -> 5_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))
76.13/20.15	   5_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1)))) -> 5_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))
76.13/20.15	   5_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1)))) -> 5_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))
76.13/20.15	   5_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1)))) -> 5_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))
76.13/20.15	   5_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1)))) -> 5_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))
76.13/20.15	   2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
76.13/20.15	   2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
76.13/20.15	   2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
76.13/20.15	   2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
76.13/20.15	   2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
76.13/20.15	   2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
76.13/20.15	   1_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 1_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
76.13/20.15	   1_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 1_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
76.13/20.15	   1_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 1_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
76.13/20.15	   1_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1))))) -> 1_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
76.13/20.15	   1_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1))))) -> 1_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
76.13/20.15	   1_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1))))) -> 1_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
76.13/20.15	   0_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
76.13/20.15	   0_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
76.13/20.15	   0_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
76.13/20.15	   0_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
76.13/20.15	   0_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
76.13/20.15	   0_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
76.13/20.15	   3_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 3_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
76.13/20.15	   3_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 3_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
76.13/20.15	   3_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 3_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
76.13/20.15	   3_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1))))) -> 3_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
76.13/20.15	   3_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1))))) -> 3_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
76.13/20.15	   3_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1))))) -> 3_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
76.13/20.15	   4_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
76.13/20.15	   4_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
76.13/20.15	   4_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
76.13/20.15	   4_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1))))) -> 4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
76.13/20.15	   4_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1))))) -> 4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
76.13/20.15	   4_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1))))) -> 4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
76.13/20.15	   5_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
76.13/20.15	   5_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
76.13/20.15	   5_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
76.13/20.15	   5_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
76.13/20.15	   5_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
76.13/20.15	   5_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
76.13/20.15	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1))))))
76.13/20.15	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1))))))
76.13/20.15	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1))))))
76.13/20.15	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1))))))
76.13/20.15	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1))))))
76.13/20.15	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1))))))
76.13/20.15	   1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1))))))
76.13/20.15	   1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1))))))
76.13/20.15	   1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1))))))
76.13/20.15	   1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1))))))
76.13/20.15	   1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1))))))
76.13/20.15	   1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1))))))
76.13/20.15	   0_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1))))))
76.13/20.15	   0_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1))))))
76.13/20.15	   0_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1))))))
76.13/20.15	   0_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1))))))
76.13/20.15	   0_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1))))))
76.13/20.15	   0_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1))))))
76.13/20.15	   3_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1))))))
76.13/20.15	   3_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1))))))
76.13/20.15	   3_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1))))))
76.13/20.15	   3_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1))))))
76.13/20.15	   3_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1))))))
76.13/20.15	   3_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1))))))
76.13/20.15	   4_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1))))))
76.13/20.15	   4_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1))))))
76.13/20.15	   4_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1))))))
76.13/20.15	   4_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1))))))
76.13/20.15	   4_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1))))))
76.13/20.15	   4_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1))))))
76.13/20.15	   5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1))))))
76.13/20.15	   5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1))))))
76.13/20.15	   5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1))))))
76.13/20.15	   5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1))))))
76.13/20.15	   5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1))))))
76.13/20.15	   5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1))))))
76.13/20.15	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
76.13/20.15	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))
76.13/20.15	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))))
76.13/20.15	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))))
76.13/20.15	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))
76.13/20.15	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))))
76.13/20.15	   1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
76.13/20.15	   1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))
76.13/20.15	   1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))))
76.13/20.15	   1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))))
76.13/20.15	   1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))
76.13/20.15	   1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))))
76.13/20.15	   0_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
76.13/20.15	   0_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))
76.13/20.15	   0_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))))
76.13/20.15	   0_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))))
76.13/20.15	   0_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))
76.13/20.15	   0_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))))
76.13/20.15	   3_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 3_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
76.13/20.15	   3_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 3_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))
76.13/20.15	   3_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 3_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))))
76.13/20.15	   3_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 3_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))))
76.13/20.15	   3_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 3_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))
76.13/20.15	   3_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 3_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))))
76.13/20.15	   4_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 4_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
76.13/20.15	   4_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 4_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))
76.13/20.15	   4_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 4_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))))
76.13/20.15	   4_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 4_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))))
76.13/20.15	   4_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 4_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))
76.13/20.15	   4_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 4_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))))
76.13/20.15	   5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
76.13/20.15	   5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))
76.13/20.15	   5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))))
76.13/20.15	   5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))))
76.13/20.15	   5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))
76.13/20.15	   5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))))
76.13/20.15	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
76.13/20.15	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))))))
76.13/20.15	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))))))
76.13/20.15	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))))))
76.13/20.15	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))))))
76.13/20.15	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))))))
76.13/20.15	   1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 1_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
76.13/20.15	   1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 1_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))))))
76.13/20.15	   1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 1_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))))))
76.13/20.15	   1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 1_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))))))
76.13/20.15	   1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 1_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))))))
76.13/20.15	   1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 1_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))))))
76.13/20.15	   0_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
76.13/20.15	   0_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))))))
76.13/20.15	   0_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))))))
76.13/20.15	   0_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))))))
76.13/20.15	   0_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))))))
76.13/20.15	   0_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))))))
76.13/20.15	   3_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 3_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
76.13/20.15	   3_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 3_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))))))
76.13/20.15	   3_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 3_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))))))
76.13/20.15	   3_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 3_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))))))
76.13/20.15	   3_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 3_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))))))
76.13/20.15	   3_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 3_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))))))
76.13/20.15	   4_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
76.13/20.15	   4_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))))))
76.13/20.15	   4_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))))))
76.13/20.15	   4_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))))))
76.13/20.15	   4_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))))))
76.13/20.15	   4_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))))))
76.13/20.15	   5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 5_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
76.13/20.15	   5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 5_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))))))
76.13/20.15	   5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 5_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))))))
76.13/20.15	   5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 5_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))))))
76.13/20.15	   5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 5_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))))))
76.13/20.15	   5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 5_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))))))
76.13/20.15	   2_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
76.13/20.15	   2_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
76.13/20.15	   2_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
76.13/20.15	   2_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
76.13/20.15	   2_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
76.13/20.15	   2_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
76.13/20.15	   1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
76.13/20.15	   1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
76.13/20.15	   1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
76.13/20.15	   1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
76.13/20.15	   1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
76.13/20.15	   1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
76.13/20.15	   0_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
76.13/20.15	   0_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
76.13/20.15	   0_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
76.13/20.15	   0_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
76.13/20.15	   0_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
76.13/20.15	   0_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
76.13/20.15	   3_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
76.13/20.15	   3_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
76.13/20.15	   3_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
76.13/20.15	   3_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
76.13/20.15	   3_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
76.13/20.15	   3_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
76.13/20.15	   4_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
76.13/20.15	   4_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
76.13/20.15	   4_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
76.13/20.15	   4_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
76.13/20.15	   4_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
76.13/20.15	   4_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
76.13/20.15	   5_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
76.13/20.15	   5_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
76.13/20.15	   5_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
76.13/20.15	   5_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
76.13/20.15	   5_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
76.13/20.15	   5_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
76.13/20.15	   2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(x1))))))
76.13/20.15	   2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(x1))))))
76.13/20.15	   2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(x1))))))
76.13/20.15	   2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(x1))))))
76.13/20.15	   2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{4_1}(x1))))))
76.13/20.15	   2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(x1))))))
76.13/20.15	   1_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(x1))))))
76.13/20.15	   1_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(x1))))))
76.13/20.15	   1_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(x1))))))
76.13/20.15	   1_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(x1))))))
76.13/20.15	   1_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{4_1}(x1))))))
76.13/20.15	   1_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(x1))))))
76.13/20.15	   0_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(x1))))))
76.13/20.15	   0_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(x1))))))
76.13/20.15	   0_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(x1))))))
76.13/20.15	   0_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(x1))))))
76.13/20.15	   0_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{4_1}(x1))))))
76.13/20.15	   0_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(x1))))))
76.13/20.15	   3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 3_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(x1))))))
76.13/20.15	   3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 3_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(x1))))))
76.13/20.15	   3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 3_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(x1))))))
76.13/20.15	   3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 3_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(x1))))))
76.13/20.15	   3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 3_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{4_1}(x1))))))
76.13/20.15	   3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 3_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(x1))))))
76.13/20.15	   4_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(x1))))))
76.13/20.15	   4_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(x1))))))
76.13/20.15	   4_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(x1))))))
76.13/20.15	   4_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(x1))))))
76.13/20.15	   4_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{4_1}(x1))))))
76.13/20.15	   4_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(x1))))))
76.13/20.15	   5_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(x1))))))
76.13/20.15	   5_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(x1))))))
77.63/20.48	   5_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(x1))))))
77.63/20.48	   5_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(x1))))))
77.63/20.48	   5_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{4_1}(x1))))))
77.63/20.48	   5_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(x1))))))
77.63/20.48	   2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(x1))))))
77.63/20.48	   2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(x1))))))
77.63/20.48	   2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(x1))))))
77.63/20.48	   2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(x1))))))
77.63/20.48	   2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{4_1}(x1))))))
77.63/20.48	   2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(x1))))))
77.63/20.48	   1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(x1))))))
77.63/20.48	   1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(x1))))))
77.63/20.48	   1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(x1))))))
77.63/20.48	   1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(x1))))))
77.63/20.48	   1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{4_1}(x1))))))
77.63/20.48	   1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(x1))))))
77.63/20.48	   0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(x1))))))
77.63/20.48	   0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(x1))))))
77.63/20.48	   0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(x1))))))
77.63/20.48	   0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(x1))))))
77.63/20.48	   0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{4_1}(x1))))))
77.63/20.48	   0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(x1))))))
77.63/20.48	   3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(x1))))))
77.63/20.48	   3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(x1))))))
77.63/20.48	   3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(x1))))))
77.63/20.48	   3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(x1))))))
77.63/20.48	   3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{4_1}(x1))))))
77.63/20.48	   3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(x1))))))
77.63/20.48	   4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(x1))))))
77.63/20.48	   4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(x1))))))
77.63/20.48	   4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(x1))))))
77.63/20.48	   4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(x1))))))
77.63/20.48	   4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{4_1}(x1))))))
77.63/20.48	   4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(x1))))))
77.63/20.48	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(x1))))))
77.63/20.48	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(x1))))))
77.63/20.48	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(x1))))))
77.63/20.48	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(x1))))))
77.63/20.48	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{4_1}(x1))))))
77.63/20.48	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(x1))))))
77.63/20.48	   2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.48	   2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
77.63/20.48	   2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.48	   2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 2_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
77.63/20.48	   2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 2_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.48	   2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 2_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
77.63/20.48	   1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 1_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.48	   1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 1_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
77.63/20.48	   1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 1_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.48	   1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 1_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
77.63/20.48	   1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 1_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.48	   1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 1_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
77.63/20.48	   0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 0_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.48	   0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 0_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
77.63/20.48	   0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 0_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.48	   0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 0_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
77.63/20.48	   0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 0_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.48	   0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 0_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
77.63/20.48	   3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.48	   3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
77.63/20.48	   3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.48	   3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
77.63/20.48	   3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.48	   3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
77.63/20.48	   4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 4_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.48	   4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 4_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
77.63/20.48	   4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 4_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.48	   4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 4_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
77.63/20.48	   4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 4_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.48	   4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 4_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
77.63/20.48	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.48	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
77.63/20.48	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.48	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
77.63/20.48	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.48	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
77.63/20.48	   2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{2_1}(x1)))))))
77.63/20.48	   2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(x1)))))))
77.63/20.48	   2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{0_1}(x1)))))))
77.63/20.48	   2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 2_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(x1)))))))
77.63/20.48	   2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 2_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{4_1}(x1)))))))
77.63/20.48	   2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 2_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{5_1}(x1)))))))
77.63/20.48	   1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 1_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{2_1}(x1)))))))
77.63/20.48	   1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 1_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(x1)))))))
77.63/20.48	   1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 1_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{0_1}(x1)))))))
77.63/20.48	   1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 1_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(x1)))))))
77.63/20.48	   1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 1_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{4_1}(x1)))))))
77.63/20.48	   1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 1_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{5_1}(x1)))))))
77.63/20.48	   0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{2_1}(x1)))))))
77.63/20.48	   0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(x1)))))))
77.63/20.48	   0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{0_1}(x1)))))))
77.63/20.48	   0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(x1)))))))
77.63/20.48	   0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{4_1}(x1)))))))
77.63/20.48	   0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{5_1}(x1)))))))
77.63/20.48	   3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{2_1}(x1)))))))
77.63/20.48	   3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(x1)))))))
77.63/20.48	   3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{0_1}(x1)))))))
77.63/20.48	   3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(x1)))))))
77.63/20.48	   3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{4_1}(x1)))))))
77.63/20.48	   3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{5_1}(x1)))))))
77.63/20.48	   4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 4_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{2_1}(x1)))))))
77.63/20.48	   4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 4_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(x1)))))))
77.63/20.48	   4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 4_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{0_1}(x1)))))))
77.63/20.48	   4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 4_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(x1)))))))
77.63/20.48	   4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 4_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{4_1}(x1)))))))
77.63/20.48	   4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 4_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{5_1}(x1)))))))
77.63/20.48	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 5_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{2_1}(x1)))))))
77.63/20.48	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 5_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(x1)))))))
77.63/20.48	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 5_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{0_1}(x1)))))))
77.63/20.48	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 5_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(x1)))))))
77.63/20.48	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 5_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{4_1}(x1)))))))
77.63/20.48	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 5_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{5_1}(x1)))))))
77.63/20.48	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 2_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
77.63/20.48	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 2_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
77.63/20.48	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 2_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
77.63/20.48	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 2_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(x1))))))
77.63/20.48	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 2_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(x1))))))
77.63/20.48	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 2_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(x1))))))
77.63/20.48	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 1_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
77.63/20.48	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 1_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
77.63/20.48	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 1_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
77.63/20.48	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 1_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(x1))))))
77.63/20.48	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 1_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(x1))))))
77.63/20.48	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 1_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(x1))))))
77.63/20.48	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 0_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
77.63/20.48	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 0_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
77.63/20.48	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 0_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
77.63/20.48	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 0_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(x1))))))
77.63/20.48	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 0_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(x1))))))
77.63/20.48	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 0_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(x1))))))
77.63/20.48	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 3_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
77.63/20.48	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 3_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
77.63/20.48	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 3_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
77.63/20.48	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 3_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(x1))))))
77.63/20.48	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 3_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(x1))))))
77.63/20.48	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 3_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(x1))))))
77.63/20.48	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
77.63/20.48	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
77.63/20.48	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
77.63/20.48	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(x1))))))
77.63/20.48	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(x1))))))
77.63/20.48	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(x1))))))
77.63/20.48	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 5_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
77.63/20.48	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 5_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
77.63/20.48	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 5_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
77.63/20.48	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 5_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(x1))))))
77.63/20.48	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 5_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(x1))))))
77.63/20.48	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 5_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(x1))))))
77.63/20.48	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(x1))))))
77.63/20.48	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(x1))))))
77.63/20.48	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(x1))))))
77.63/20.48	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(x1))))))
77.63/20.48	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{4_1}(x1))))))
77.63/20.48	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(x1))))))
77.63/20.48	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(x1))))))
77.63/20.48	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(x1))))))
77.63/20.48	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(x1))))))
77.63/20.48	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(x1))))))
77.63/20.48	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{4_1}(x1))))))
77.63/20.48	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(x1))))))
77.63/20.48	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(x1))))))
77.63/20.48	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(x1))))))
77.63/20.48	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(x1))))))
77.63/20.48	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(x1))))))
77.63/20.48	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{4_1}(x1))))))
77.63/20.48	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(x1))))))
77.63/20.48	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(x1))))))
77.63/20.48	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(x1))))))
77.63/20.48	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(x1))))))
77.63/20.48	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(x1))))))
77.63/20.48	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{4_1}(x1))))))
77.63/20.48	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(x1))))))
77.63/20.48	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(x1))))))
77.63/20.48	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(x1))))))
77.63/20.48	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(x1))))))
77.63/20.48	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(x1))))))
77.63/20.48	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{4_1}(x1))))))
77.63/20.48	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(x1))))))
77.63/20.48	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(x1))))))
77.63/20.48	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(x1))))))
77.63/20.48	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(x1))))))
77.63/20.48	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(x1))))))
77.63/20.48	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{4_1}(x1))))))
77.63/20.48	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(x1))))))
77.63/20.48	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(x1))))))
77.63/20.48	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(x1))))))
77.63/20.48	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{0_1}(x1))))))
77.63/20.48	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(x1))))))
77.63/20.48	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(x1))))))
77.63/20.48	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{5_1}(x1))))))
77.63/20.48	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(x1))))))
77.63/20.48	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(x1))))))
77.63/20.48	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{0_1}(x1))))))
77.63/20.48	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(x1))))))
77.63/20.48	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(x1))))))
77.63/20.48	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{5_1}(x1))))))
77.63/20.48	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(x1))))))
77.63/20.48	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(x1))))))
77.63/20.48	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{0_1}(x1))))))
77.63/20.48	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(x1))))))
77.63/20.48	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(x1))))))
77.63/20.48	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{5_1}(x1))))))
77.63/20.48	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 3_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(x1))))))
77.63/20.48	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 3_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(x1))))))
77.63/20.48	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 3_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{0_1}(x1))))))
77.63/20.48	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 3_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(x1))))))
77.63/20.48	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 3_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(x1))))))
77.63/20.48	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 3_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{5_1}(x1))))))
77.63/20.48	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(x1))))))
77.63/20.48	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(x1))))))
77.63/20.48	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{0_1}(x1))))))
77.63/20.48	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(x1))))))
77.63/20.48	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(x1))))))
77.63/20.48	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{5_1}(x1))))))
77.63/20.48	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 5_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(x1))))))
77.63/20.48	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 5_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 5_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{0_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 5_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 5_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 5_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{5_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{1_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{3_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{1_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{3_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{1_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{3_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{1_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{3_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{1_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{3_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{1_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{3_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{1_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 1_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 1_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{1_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 1_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 1_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 1_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 1_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{1_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 3_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 3_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{1_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 3_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 3_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 3_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 3_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 4_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 4_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{1_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 4_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 4_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 4_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 4_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 5_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 5_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{1_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 5_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 5_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 5_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 5_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 1_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 1_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 1_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 1_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 1_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 1_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 3_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 3_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 3_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 3_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 3_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 3_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1))))) -> 2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1))))) -> 2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1))))) -> 2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1))))) -> 2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1))))) -> 2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{4_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1))))) -> 2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1))))) -> 1_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1))))) -> 1_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1))))) -> 1_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1))))) -> 1_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1))))) -> 1_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{4_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1))))) -> 1_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1))))) -> 0_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1))))) -> 0_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1))))) -> 0_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1))))) -> 0_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1))))) -> 0_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{4_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1))))) -> 0_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1))))) -> 3_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1))))) -> 3_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1))))) -> 3_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1))))) -> 3_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1))))) -> 3_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{4_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1))))) -> 3_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1))))) -> 4_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1))))) -> 4_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1))))) -> 4_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1))))) -> 4_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1))))) -> 4_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{4_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1))))) -> 4_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1))))) -> 5_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1))))) -> 5_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1))))) -> 5_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1))))) -> 5_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1))))) -> 5_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{4_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1))))) -> 5_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1))))) -> 2_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1))))) -> 2_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1))))) -> 2_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1))))) -> 2_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1))))) -> 2_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1))))) -> 2_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1))))) -> 1_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1))))) -> 1_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1))))) -> 1_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1))))) -> 1_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1))))) -> 1_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1))))) -> 1_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1))))) -> 0_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1))))) -> 0_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1))))) -> 0_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1))))) -> 0_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1))))) -> 0_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1))))) -> 0_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1))))) -> 3_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1))))) -> 3_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1))))) -> 3_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1))))) -> 3_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1))))) -> 3_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1))))) -> 3_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1))))) -> 4_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1))))) -> 4_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1))))) -> 4_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1))))) -> 4_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1))))) -> 4_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1))))) -> 4_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1))))) -> 5_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1))))) -> 5_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1))))) -> 5_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1))))) -> 5_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1))))) -> 5_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1))))) -> 5_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(x1)))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(x1)))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(x1)))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   1_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   1_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   1_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   1_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(x1)))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   1_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(x1)))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   1_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(x1)))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   0_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   0_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   0_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   0_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(x1)))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   0_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(x1)))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   0_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(x1)))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   3_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   3_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   3_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   3_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(x1)))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   3_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(x1)))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   3_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(x1)))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   4_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   4_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   4_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   4_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(x1)))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   4_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(x1)))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   4_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(x1)))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   5_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   5_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   5_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   5_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(x1)))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   5_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(x1)))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   5_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(x1)))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 2_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))) -> 2_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 2_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(x1)))))) -> 2_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(x1)))))) -> 2_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 2_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))) -> 1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(x1)))))) -> 1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(x1)))))) -> 1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 0_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))) -> 0_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 0_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(x1)))))) -> 0_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(x1)))))) -> 0_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 0_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 3_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))) -> 3_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 3_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(x1)))))) -> 3_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(x1)))))) -> 3_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 3_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 4_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))) -> 4_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 4_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(x1)))))) -> 4_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(x1)))))) -> 4_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 4_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 5_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))) -> 5_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 5_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(x1)))))) -> 5_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(x1)))))) -> 5_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 5_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1)))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1)))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1)))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1)))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1)))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1)))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1)))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1)))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1)))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1)))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1)))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1)))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1)))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1)))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1)))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1)))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1)))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1)))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 1_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 1_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 1_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 1_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 1_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 1_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 5_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 5_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 5_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 5_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 5_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 5_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 2_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 2_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 2_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 2_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 2_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 2_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{5_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 1_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 1_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 1_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 1_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 1_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 1_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{5_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 0_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 0_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 0_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 0_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 0_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 0_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{5_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 3_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 3_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 3_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 3_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 3_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 3_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{5_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{5_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 5_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 5_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 5_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 5_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 5_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 5_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{5_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 3_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 3_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 3_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 3_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 3_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 3_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 4_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 4_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 4_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 4_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 4_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 4_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 5_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 5_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 5_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 5_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 5_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 5_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 2_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{2_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 2_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 2_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 2_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 2_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{4_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 2_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 1_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{2_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 1_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 1_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 1_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 1_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{4_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 1_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 0_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{2_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 0_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 0_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 0_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 0_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{4_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 0_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 3_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{2_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 3_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 3_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 3_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 3_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{4_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 3_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 4_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{2_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 4_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 4_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 4_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 4_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{4_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 4_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 5_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{2_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 5_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 5_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 5_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 5_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{4_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 5_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))) -> 2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))) -> 2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))) -> 2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 1_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))) -> 1_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 1_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))) -> 1_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 1_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))) -> 1_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 3_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))) -> 3_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 3_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))) -> 3_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 3_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))) -> 3_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 4_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))) -> 4_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 4_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))) -> 4_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 4_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))) -> 4_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))) -> 5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))) -> 5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))) -> 5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 2_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(x1)))))) -> 2_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 2_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(x1)))))) -> 2_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 2_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{4_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{5_1}(x1)))))) -> 2_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 1_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(x1)))))) -> 1_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 1_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(x1)))))) -> 1_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 1_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{4_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{5_1}(x1)))))) -> 1_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 0_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(x1)))))) -> 0_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 0_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(x1)))))) -> 0_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 0_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{4_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{5_1}(x1)))))) -> 0_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 3_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(x1)))))) -> 3_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 3_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(x1)))))) -> 3_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 3_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{4_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{5_1}(x1)))))) -> 3_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 4_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(x1)))))) -> 4_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 4_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(x1)))))) -> 4_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 4_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{4_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{5_1}(x1)))))) -> 4_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 5_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(x1)))))) -> 5_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 5_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(x1)))))) -> 5_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 5_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{4_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{5_1}(x1)))))) -> 5_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(x1)))))))
77.63/20.49	
77.63/20.49	Q is empty.
77.63/20.49	
77.63/20.49	----------------------------------------
77.63/20.49	
77.63/20.49	(7) QTRSRRRProof (EQUIVALENT)
77.63/20.49	Used ordering:
77.63/20.49	Polynomial interpretation [POLO]:
77.63/20.49	
77.63/20.49	   POL(0_{0_1}(x_1)) = x_1
77.63/20.49	   POL(0_{1_1}(x_1)) = 17 + x_1
77.63/20.49	   POL(0_{2_1}(x_1)) = x_1
77.63/20.49	   POL(0_{3_1}(x_1)) = 2 + x_1
77.63/20.49	   POL(0_{4_1}(x_1)) = 5 + x_1
77.63/20.49	   POL(0_{5_1}(x_1)) = x_1
77.63/20.49	   POL(1_{0_1}(x_1)) = 1 + x_1
77.63/20.49	   POL(1_{1_1}(x_1)) = x_1
77.63/20.49	   POL(1_{2_1}(x_1)) = 1 + x_1
77.63/20.49	   POL(1_{3_1}(x_1)) = 5 + x_1
77.63/20.49	   POL(1_{4_1}(x_1)) = 5 + x_1
77.63/20.49	   POL(1_{5_1}(x_1)) = 1 + x_1
77.63/20.49	   POL(2_{0_1}(x_1)) = x_1
77.63/20.49	   POL(2_{1_1}(x_1)) = 32 + x_1
77.63/20.49	   POL(2_{2_1}(x_1)) = 10 + x_1
77.63/20.49	   POL(2_{3_1}(x_1)) = x_1
77.63/20.49	   POL(2_{4_1}(x_1)) = 15 + x_1
77.63/20.49	   POL(2_{5_1}(x_1)) = 7 + x_1
77.63/20.49	   POL(3_{0_1}(x_1)) = x_1
77.63/20.49	   POL(3_{1_1}(x_1)) = 15 + x_1
77.63/20.49	   POL(3_{2_1}(x_1)) = x_1
77.63/20.49	   POL(3_{3_1}(x_1)) = x_1
77.63/20.49	   POL(3_{4_1}(x_1)) = x_1
77.63/20.49	   POL(3_{5_1}(x_1)) = x_1
77.63/20.49	   POL(4_{0_1}(x_1)) = 17 + x_1
77.63/20.49	   POL(4_{1_1}(x_1)) = 17 + x_1
77.63/20.49	   POL(4_{2_1}(x_1)) = 18 + x_1
77.63/20.49	   POL(4_{3_1}(x_1)) = 16 + x_1
77.63/20.49	   POL(4_{4_1}(x_1)) = 16 + x_1
77.63/20.49	   POL(4_{5_1}(x_1)) = 17 + x_1
77.63/20.49	   POL(5_{0_1}(x_1)) = x_1
77.63/20.49	   POL(5_{1_1}(x_1)) = 21 + x_1
77.63/20.49	   POL(5_{2_1}(x_1)) = x_1
77.63/20.49	   POL(5_{3_1}(x_1)) = 3 + x_1
77.63/20.49	   POL(5_{4_1}(x_1)) = 5 + x_1
77.63/20.49	   POL(5_{5_1}(x_1)) = 1 + x_1
77.63/20.49	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
77.63/20.49	
77.63/20.49	   2_{1_1}(1_{0_1}(0_{2_1}(x1))) -> 2_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(x1))))
77.63/20.49	   2_{1_1}(1_{0_1}(0_{1_1}(x1))) -> 2_{3_1}(3_{1_1}(1_{0_1}(0_{1_1}(x1))))
77.63/20.49	   2_{1_1}(1_{0_1}(0_{0_1}(x1))) -> 2_{3_1}(3_{1_1}(1_{0_1}(0_{0_1}(x1))))
77.63/20.49	   2_{1_1}(1_{0_1}(0_{3_1}(x1))) -> 2_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(x1))))
77.63/20.49	   2_{1_1}(1_{0_1}(0_{4_1}(x1))) -> 2_{3_1}(3_{1_1}(1_{0_1}(0_{4_1}(x1))))
77.63/20.49	   2_{1_1}(1_{0_1}(0_{5_1}(x1))) -> 2_{3_1}(3_{1_1}(1_{0_1}(0_{5_1}(x1))))
77.63/20.49	   2_{4_1}(4_{0_1}(0_{2_1}(x1))) -> 2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))))
77.63/20.49	   2_{4_1}(4_{0_1}(0_{1_1}(x1))) -> 2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))))
77.63/20.49	   2_{4_1}(4_{0_1}(0_{0_1}(x1))) -> 2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))))
77.63/20.49	   2_{4_1}(4_{0_1}(0_{3_1}(x1))) -> 2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))))
77.63/20.49	   2_{4_1}(4_{0_1}(0_{4_1}(x1))) -> 2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))))
77.63/20.49	   2_{4_1}(4_{0_1}(0_{5_1}(x1))) -> 2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1)))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1)))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1)))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 2_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{2_1}(x1)))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 2_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{1_1}(x1)))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 2_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{0_1}(x1)))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 2_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(x1)))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 2_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{4_1}(x1)))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 2_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(1_{5_1}(x1)))))
77.63/20.49	   2_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))) -> 2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(0_{2_1}(x1))))))
77.63/20.49	   2_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))) -> 2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(0_{1_1}(x1))))))
77.63/20.49	   2_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))) -> 2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(0_{0_1}(x1))))))
77.63/20.49	   2_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))) -> 2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(x1))))))
77.63/20.49	   2_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))) -> 2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(0_{4_1}(x1))))))
77.63/20.49	   2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))) -> 2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(0_{5_1}(x1))))))
77.63/20.49	   2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1)))) -> 2_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
77.63/20.49	   2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1)))) -> 2_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
77.63/20.49	   2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1)))) -> 2_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
77.63/20.49	   2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1)))) -> 2_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1)))))
77.63/20.49	   2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1)))) -> 2_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1)))))
77.63/20.49	   2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1)))) -> 2_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1)))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 5_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{2_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 5_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 5_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 5_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{4_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 5_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{5_1}(x1))))))
77.63/20.49	   2_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{2_1}(x1))))))
77.63/20.49	   2_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{1_1}(x1))))))
77.63/20.49	   2_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(x1))))))
77.63/20.49	   2_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(x1))))))
77.63/20.49	   2_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{4_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{4_1}(x1))))))
77.63/20.49	   2_{4_1}(4_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))))
77.63/20.49	   2_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(x1))))))
77.63/20.49	   2_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{4_1}(4_{1_1}(x1))))))
77.63/20.49	   2_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{4_1}(4_{0_1}(x1))))))
77.63/20.49	   2_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(x1))))))
77.63/20.49	   2_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(x1))))))
77.63/20.49	   2_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{4_1}(4_{5_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1)))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1)))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1)))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1)))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1)))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1)))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1)))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1)))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1)))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1)))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1)))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1)))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1)))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1)))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1)))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 2_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 2_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 2_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 2_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1)))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 2_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1)))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 2_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1)))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 1_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 1_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 1_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 1_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1)))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 1_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1)))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 1_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1)))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 0_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 0_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 0_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 0_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1)))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 0_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1)))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 0_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1)))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1)))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1)))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1)))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 4_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 4_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 4_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 4_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1)))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 4_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1)))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 4_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1)))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 5_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 5_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 5_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 5_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1)))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 5_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1)))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 5_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1)))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 3_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 3_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 3_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 3_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 3_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 3_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 5_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 5_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 5_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 5_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 5_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 5_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 1_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 3_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 3_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 3_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 3_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 3_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 3_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 4_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 4_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 4_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 4_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 4_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 4_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 2_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 2_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 2_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 2_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 2_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 2_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 1_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 1_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 1_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 1_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 1_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 0_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 0_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 0_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 0_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 0_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 0_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 3_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 3_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 3_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 3_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 3_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 3_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 4_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 4_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 4_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 4_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 4_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 4_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 5_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 5_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 5_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 5_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 5_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 5_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   2_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))) -> 2_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.49	   2_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))) -> 2_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.49	   2_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))) -> 2_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.49	   2_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))) -> 2_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.49	   2_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))) -> 2_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.49	   2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))) -> 2_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.49	   0_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))) -> 0_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.49	   0_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))) -> 0_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.49	   0_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))) -> 0_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.49	   0_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))) -> 0_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.49	   0_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))) -> 0_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.49	   0_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))) -> 0_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.49	   5_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))) -> 5_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.49	   5_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))) -> 5_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.49	   5_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))) -> 5_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.49	   5_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))) -> 5_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.49	   5_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))) -> 5_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.49	   5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))) -> 5_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1)))) -> 2_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1)))) -> 2_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1)))) -> 2_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1)))) -> 2_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1)))) -> 2_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1)))) -> 2_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1)))) -> 1_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1)))) -> 1_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1)))) -> 1_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1)))) -> 1_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1)))) -> 1_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1)))) -> 1_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1)))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1)))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1)))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1)))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1)))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1)))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1)))) -> 3_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1)))) -> 3_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1)))) -> 3_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1)))) -> 3_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1)))) -> 3_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1)))) -> 3_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1)))) -> 4_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1)))) -> 4_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1)))) -> 4_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1)))) -> 4_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1)))) -> 4_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1)))) -> 4_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1)))) -> 5_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1)))) -> 5_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1)))) -> 5_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1)))) -> 5_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1)))) -> 5_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1)))) -> 5_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 1_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 1_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 1_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1))))) -> 1_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1))))) -> 1_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1))))) -> 1_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 3_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 3_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 3_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1))))) -> 3_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1))))) -> 3_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1))))) -> 3_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1))))) -> 4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1))))) -> 4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1))))) -> 4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
77.63/20.49	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1))))))
77.63/20.49	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1))))))
77.63/20.49	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1))))))
77.63/20.49	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1))))))
77.63/20.49	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1))))))
77.63/20.49	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1))))))
77.63/20.49	   1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1))))))
77.63/20.49	   1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1))))))
77.63/20.49	   1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1))))))
77.63/20.49	   1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1))))))
77.63/20.49	   1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1))))))
77.63/20.49	   1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1))))))
77.63/20.49	   0_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1))))))
77.63/20.49	   0_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1))))))
77.63/20.49	   0_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1))))))
77.63/20.49	   0_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1))))))
77.63/20.49	   0_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1))))))
77.63/20.49	   0_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1))))))
77.63/20.49	   3_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1))))))
77.63/20.49	   3_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1))))))
77.63/20.49	   3_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1))))))
77.63/20.49	   3_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1))))))
77.63/20.49	   3_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1))))))
77.63/20.49	   3_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1))))))
77.63/20.49	   4_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1))))))
77.63/20.49	   4_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1))))))
77.63/20.49	   4_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1))))))
77.63/20.49	   4_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1))))))
77.63/20.49	   4_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1))))))
77.63/20.49	   4_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1))))))
77.63/20.49	   5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1))))))
77.63/20.49	   5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1))))))
77.63/20.49	   5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1))))))
77.63/20.49	   5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1))))))
77.63/20.49	   5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1))))))
77.63/20.49	   5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1))))))
77.63/20.49	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))
77.63/20.49	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))))
77.63/20.49	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))))
77.63/20.49	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))
77.63/20.49	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))))
77.63/20.49	   1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
77.63/20.49	   1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))
77.63/20.49	   1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))))
77.63/20.49	   1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))))
77.63/20.49	   1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))
77.63/20.49	   1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))))
77.63/20.49	   0_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
77.63/20.49	   0_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))
77.63/20.49	   0_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))))
77.63/20.49	   0_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))))
77.63/20.49	   0_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))
77.63/20.49	   0_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))))
77.63/20.49	   3_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 3_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
77.63/20.49	   3_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 3_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))
77.63/20.49	   3_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 3_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))))
77.63/20.49	   3_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 3_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))))
77.63/20.49	   3_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 3_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))
77.63/20.49	   3_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 3_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))))
77.63/20.49	   4_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 4_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
77.63/20.49	   4_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 4_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))
77.63/20.49	   4_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 4_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))))
77.63/20.49	   4_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 4_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))))
77.63/20.49	   4_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 4_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))
77.63/20.49	   4_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 4_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))))
77.63/20.49	   5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
77.63/20.49	   5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))
77.63/20.49	   5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))))
77.63/20.49	   5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))))
77.63/20.49	   5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))
77.63/20.49	   5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))))
77.63/20.49	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
77.63/20.49	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))))))
77.63/20.49	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))))))
77.63/20.49	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))))))
77.63/20.49	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))))))
77.63/20.49	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))))))
77.63/20.49	   1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 1_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
77.63/20.49	   1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 1_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))))))
77.63/20.49	   1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 1_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))))))
77.63/20.49	   1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 1_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))))))
77.63/20.49	   1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 1_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))))))
77.63/20.49	   1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 1_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))))))
77.63/20.49	   0_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
77.63/20.49	   0_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))))))
77.63/20.49	   0_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))))))
77.63/20.49	   0_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))))))
77.63/20.49	   0_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))))))
77.63/20.49	   0_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))))))
77.63/20.49	   3_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 3_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
77.63/20.49	   3_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 3_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))))))
77.63/20.49	   3_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 3_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))))))
77.63/20.49	   3_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 3_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))))))
77.63/20.49	   3_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 3_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))))))
77.63/20.49	   3_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 3_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))))))
77.63/20.49	   4_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
77.63/20.49	   4_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))))))
77.63/20.49	   4_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))))))
77.63/20.49	   4_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))))))
77.63/20.49	   4_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))))))
77.63/20.49	   4_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))))))
77.63/20.49	   5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 5_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
77.63/20.49	   5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 5_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))))))
77.63/20.49	   5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 5_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))))))
77.63/20.49	   5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 5_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))))))
77.63/20.49	   5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 5_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))))))
77.63/20.49	   5_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 5_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))))))
77.63/20.49	   2_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
77.63/20.49	   2_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
77.63/20.49	   2_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
77.63/20.49	   2_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
77.63/20.49	   2_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
77.63/20.49	   2_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
77.63/20.49	   1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
77.63/20.49	   1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
77.63/20.49	   1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
77.63/20.49	   1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
77.63/20.49	   1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
77.63/20.49	   1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
77.63/20.49	   0_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
77.63/20.49	   0_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
77.63/20.49	   0_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
77.63/20.49	   0_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
77.63/20.49	   0_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
77.63/20.49	   0_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
77.63/20.49	   3_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
77.63/20.49	   3_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
77.63/20.49	   3_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
77.63/20.49	   3_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
77.63/20.49	   3_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
77.63/20.49	   3_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
77.63/20.49	   4_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
77.63/20.49	   4_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
77.63/20.49	   4_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
77.63/20.49	   4_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
77.63/20.49	   4_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
77.63/20.49	   4_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
77.63/20.49	   5_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
77.63/20.49	   5_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
77.63/20.49	   5_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
77.63/20.49	   5_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
77.63/20.49	   5_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
77.63/20.49	   5_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{4_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{4_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 1_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{4_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 3_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 3_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 3_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 3_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 3_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{4_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 3_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{4_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{4_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{4_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{4_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{4_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{4_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{4_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{4_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 2_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 2_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 2_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 1_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 1_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 1_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 1_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 1_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 1_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 0_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 0_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 0_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 0_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 0_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 0_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 4_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 4_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 4_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 4_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 4_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 4_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 2_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 2_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 2_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 1_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 1_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 1_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 1_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 1_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 1_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 4_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 4_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 4_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 4_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 4_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 4_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 5_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 5_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 5_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 5_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 5_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 5_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 2_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 2_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 2_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 2_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 2_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 2_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 1_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 1_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 1_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 1_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 1_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 1_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 0_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 0_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 0_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 0_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 0_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 0_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 3_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 3_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 3_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 3_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 3_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 3_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 5_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 5_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 5_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 5_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{3_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 5_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 5_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{5_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{4_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 2_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{4_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{4_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 0_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{4_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 3_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{4_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{0_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{4_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 5_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{0_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{5_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{0_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{5_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{0_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{5_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 3_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 3_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 3_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{0_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 3_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 3_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 3_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{5_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{0_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{5_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 5_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 5_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 5_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{0_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 5_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 5_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 5_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(3_{5_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{1_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{3_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{1_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{3_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{1_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{3_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{1_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{3_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{1_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{3_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{1_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{3_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{1_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 1_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 1_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{1_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 1_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 1_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 1_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 1_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{1_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 3_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 3_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{1_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 3_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 3_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 3_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 3_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 4_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 4_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{1_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 4_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 4_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 4_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 4_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 5_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 5_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{1_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 5_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 5_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 5_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 5_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 1_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 1_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 1_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 1_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 1_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 1_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 3_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 3_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 3_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 3_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 3_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 3_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 4_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1))))) -> 2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1))))) -> 2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1))))) -> 2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1))))) -> 2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1))))) -> 2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{4_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1))))) -> 2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1))))) -> 1_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1))))) -> 1_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1))))) -> 1_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1))))) -> 1_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1))))) -> 1_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{4_1}(x1))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1))))) -> 1_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1))))) -> 0_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1))))) -> 0_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1))))) -> 0_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1))))) -> 0_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1))))) -> 0_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{4_1}(x1))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1))))) -> 0_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1))))) -> 3_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1))))) -> 3_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1))))) -> 3_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1))))) -> 3_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1))))) -> 3_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{4_1}(x1))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1))))) -> 3_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1))))) -> 4_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1))))) -> 4_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1))))) -> 4_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1))))) -> 4_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1))))) -> 4_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{4_1}(x1))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1))))) -> 4_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1))))) -> 5_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1))))) -> 5_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{1_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1))))) -> 5_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{0_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1))))) -> 5_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1))))) -> 5_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{4_1}(x1))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1))))) -> 5_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{5_1}(x1))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1))))) -> 2_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1))))) -> 2_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1))))) -> 2_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1))))) -> 2_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1))))) -> 2_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1))))) -> 2_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1))))) -> 1_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1))))) -> 1_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1))))) -> 1_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1))))) -> 1_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1))))) -> 1_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1))))) -> 1_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1))))) -> 0_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1))))) -> 0_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1))))) -> 0_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1))))) -> 0_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1))))) -> 0_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1))))) -> 0_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1))))) -> 3_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1))))) -> 3_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1))))) -> 3_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1))))) -> 3_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1))))) -> 3_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1))))) -> 3_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1))))) -> 4_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1))))) -> 4_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1))))) -> 4_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1))))) -> 4_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1))))) -> 4_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1))))) -> 4_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1))))) -> 5_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1))))) -> 5_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1))))) -> 5_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1))))) -> 5_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1))))) -> 5_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1))))) -> 5_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(x1)))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(x1)))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(x1)))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   1_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   1_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   1_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   1_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(x1)))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   1_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(x1)))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   1_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(x1)))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   0_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   0_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   0_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   0_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(x1)))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   0_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(x1)))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   0_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(x1)))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   3_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   3_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   3_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   3_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(x1)))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   3_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(x1)))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   3_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(x1)))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   4_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   4_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   4_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   4_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(x1)))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   4_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(x1)))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   4_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(x1)))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   5_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   5_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   5_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   5_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(x1)))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   5_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(x1)))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   5_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(x1)))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 2_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))) -> 2_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 2_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(x1)))))) -> 2_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(x1)))))) -> 2_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 2_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))) -> 1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(x1)))))) -> 1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(x1)))))) -> 1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))) -> 0_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(x1)))))) -> 0_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(x1)))))) -> 0_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))) -> 3_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(x1)))))) -> 3_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(x1)))))) -> 3_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 4_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))) -> 4_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 4_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(x1)))))) -> 4_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(x1)))))) -> 4_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 4_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))) -> 5_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(x1)))))) -> 5_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(x1)))))) -> 5_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1)))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1)))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1)))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1)))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1)))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1)))))) -> 3_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1)))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1)))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1)))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1)))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1)))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1)))))) -> 4_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1)))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1)))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1)))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1)))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1)))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1)))))) -> 5_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 1_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 1_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 1_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 1_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 1_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 1_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 5_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 5_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 5_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 5_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 5_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 5_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 2_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 2_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 2_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 2_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 2_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 2_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{5_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 1_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 1_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 1_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 1_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 1_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 1_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{5_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 0_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 0_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 0_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 0_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 0_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 0_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{5_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 3_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 3_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 3_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 3_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 3_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 3_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{5_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{5_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 5_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 5_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 5_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 5_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 5_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(x1)))))))
77.63/20.49	   5_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 5_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{4_1}(4_{5_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   2_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   1_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   0_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 3_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 3_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 3_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 3_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 3_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))
77.63/20.49	   3_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 3_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 4_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 4_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 4_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1)))))))
77.63/20.49	   4_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 4_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1)))))))
77.63/20.50	   4_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 4_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))
77.63/20.50	   4_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 4_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 5_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 5_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 5_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 5_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 5_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 5_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 2_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{2_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 2_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 2_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 2_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 2_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{4_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 2_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 1_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{2_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 1_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 1_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 1_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 1_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{4_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 1_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 0_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{2_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 0_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 0_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 0_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 0_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{4_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 0_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 3_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{2_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 3_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 3_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 3_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 3_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{4_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 3_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(x1)))))))
77.63/20.50	   4_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 4_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{2_1}(x1)))))))
77.63/20.50	   4_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 4_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(x1)))))))
77.63/20.50	   4_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 4_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(x1)))))))
77.63/20.50	   4_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 4_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(x1)))))))
77.63/20.50	   4_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 4_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{4_1}(x1)))))))
77.63/20.50	   4_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 4_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 5_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{2_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 5_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{1_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 5_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 5_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 5_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{4_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 5_{5_1}(5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{5_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))))
77.63/20.50	   4_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
77.63/20.50	   4_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))
77.63/20.50	   4_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))))
77.63/20.50	   4_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))))
77.63/20.50	   4_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))
77.63/20.50	   4_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(x1)))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(x1)))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{0_1}(x1)))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{0_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(x1)))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{4_1}(x1)))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(0_{5_1}(x1)))))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))) -> 2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))) -> 2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))) -> 2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 1_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))) -> 1_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 1_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))) -> 1_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 1_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))) -> 1_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 3_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))) -> 3_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 3_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))) -> 3_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 3_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))) -> 3_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
77.63/20.50	   4_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 4_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   4_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))) -> 4_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
77.63/20.50	   4_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 4_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   4_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))) -> 4_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
77.63/20.50	   4_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 4_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	   4_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))) -> 4_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1)))))) -> 5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1)))))) -> 5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1)))))) -> 5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 2_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(x1)))))) -> 2_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 2_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(x1)))))) -> 2_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 2_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{5_1}(x1)))))) -> 2_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 1_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(x1)))))) -> 1_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 1_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(x1)))))) -> 1_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 1_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{5_1}(x1)))))) -> 1_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 0_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(x1)))))) -> 0_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 0_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(x1)))))) -> 0_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 0_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{5_1}(x1)))))) -> 0_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 3_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(x1)))))) -> 3_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 3_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(x1)))))) -> 3_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 3_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{5_1}(x1)))))) -> 3_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(x1)))))))
77.63/20.50	   4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 4_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(x1)))))) -> 4_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(x1)))))))
77.63/20.50	   4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 4_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(x1)))))) -> 4_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(x1)))))))
77.63/20.50	   4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 4_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	   4_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{5_1}(x1)))))) -> 4_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 5_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(x1)))))) -> 5_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 5_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(x1)))))) -> 5_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{3_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 5_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(0_{5_1}(5_{5_1}(x1)))))) -> 5_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(2_{5_1}(5_{0_1}(0_{5_1}(x1)))))))
77.63/20.50	
77.63/20.50	
77.63/20.50	
77.63/20.50	
77.63/20.50	----------------------------------------
77.63/20.50	
77.63/20.50	(8)
77.63/20.50	Obligation:
77.63/20.50	Q restricted rewrite system:
77.63/20.50	The TRS R consists of the following rules:
77.63/20.50	
77.63/20.50	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 5_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1))))) -> 4_{4_1}(4_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1))))) -> 4_{4_1}(4_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1))))) -> 4_{4_1}(4_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1))))) -> 4_{4_1}(4_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1))))) -> 4_{4_1}(4_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1))))) -> 4_{4_1}(4_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 1_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(x1)))))))
77.63/20.50	   1_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))) -> 1_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   1_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))) -> 1_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))) -> 1_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   1_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))) -> 1_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   1_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))) -> 1_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   1_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))) -> 1_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   4_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   4_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   4_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   4_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   4_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 0_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 0_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 0_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 3_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 3_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 3_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 5_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 5_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 5_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	
77.63/20.50	Q is empty.
77.63/20.50	
77.63/20.50	----------------------------------------
77.63/20.50	
77.63/20.50	(9) QTRSRRRProof (EQUIVALENT)
77.63/20.50	Used ordering:
77.63/20.50	Polynomial interpretation [POLO]:
77.63/20.50	
77.63/20.50	   POL(0_{0_1}(x_1)) = x_1
77.63/20.50	   POL(0_{1_1}(x_1)) = 1 + x_1
77.63/20.50	   POL(0_{2_1}(x_1)) = x_1
77.63/20.50	   POL(0_{3_1}(x_1)) = x_1
77.63/20.50	   POL(0_{4_1}(x_1)) = x_1
77.63/20.50	   POL(0_{5_1}(x_1)) = x_1
77.63/20.50	   POL(1_{0_1}(x_1)) = x_1
77.63/20.50	   POL(1_{1_1}(x_1)) = x_1
77.63/20.50	   POL(1_{2_1}(x_1)) = x_1
77.63/20.50	   POL(1_{3_1}(x_1)) = x_1
77.63/20.50	   POL(1_{4_1}(x_1)) = x_1
77.63/20.50	   POL(1_{5_1}(x_1)) = x_1
77.63/20.50	   POL(2_{0_1}(x_1)) = x_1
77.63/20.50	   POL(2_{1_1}(x_1)) = 1 + x_1
77.63/20.50	   POL(2_{2_1}(x_1)) = x_1
77.63/20.50	   POL(2_{3_1}(x_1)) = x_1
77.63/20.50	   POL(2_{4_1}(x_1)) = x_1
77.63/20.50	   POL(2_{5_1}(x_1)) = 1 + x_1
77.63/20.50	   POL(3_{0_1}(x_1)) = x_1
77.63/20.50	   POL(3_{1_1}(x_1)) = x_1
77.63/20.50	   POL(3_{2_1}(x_1)) = x_1
77.63/20.50	   POL(3_{3_1}(x_1)) = x_1
77.63/20.50	   POL(3_{4_1}(x_1)) = x_1
77.63/20.50	   POL(3_{5_1}(x_1)) = x_1
77.63/20.50	   POL(4_{0_1}(x_1)) = x_1
77.63/20.50	   POL(4_{1_1}(x_1)) = 1 + x_1
77.63/20.50	   POL(4_{2_1}(x_1)) = 1 + x_1
77.63/20.50	   POL(4_{3_1}(x_1)) = x_1
77.63/20.50	   POL(4_{4_1}(x_1)) = x_1
77.63/20.50	   POL(5_{0_1}(x_1)) = x_1
77.63/20.50	   POL(5_{1_1}(x_1)) = x_1
77.63/20.50	   POL(5_{2_1}(x_1)) = x_1
77.63/20.50	   POL(5_{3_1}(x_1)) = x_1
77.63/20.50	   POL(5_{4_1}(x_1)) = x_1
77.63/20.50	   POL(5_{5_1}(x_1)) = x_1
77.63/20.50	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
77.63/20.50	
77.63/20.50	   5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 5_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(x1))))))
77.63/20.50	
77.63/20.50	
77.63/20.50	
77.63/20.50	
77.63/20.50	----------------------------------------
77.63/20.50	
77.63/20.50	(10)
77.63/20.50	Obligation:
77.63/20.50	Q restricted rewrite system:
77.63/20.50	The TRS R consists of the following rules:
77.63/20.50	
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1))))) -> 4_{4_1}(4_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1))))) -> 4_{4_1}(4_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1))))) -> 4_{4_1}(4_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1))))) -> 4_{4_1}(4_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1))))) -> 4_{4_1}(4_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1))))) -> 4_{4_1}(4_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 1_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(x1)))))))
77.63/20.50	   1_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))) -> 1_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   1_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))) -> 1_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))) -> 1_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   1_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))) -> 1_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   1_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))) -> 1_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   1_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))) -> 1_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   4_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   4_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   4_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   4_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   4_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 0_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 0_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 0_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 3_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 3_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 3_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 5_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 5_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 5_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	
77.63/20.50	Q is empty.
77.63/20.50	
77.63/20.50	----------------------------------------
77.63/20.50	
77.63/20.50	(11) QTRSRRRProof (EQUIVALENT)
77.63/20.50	Used ordering:
77.63/20.50	Polynomial interpretation [POLO]:
77.63/20.50	
77.63/20.50	   POL(0_{0_1}(x_1)) = x_1
77.63/20.50	   POL(0_{1_1}(x_1)) = x_1
77.63/20.50	   POL(0_{2_1}(x_1)) = x_1
77.63/20.50	   POL(0_{3_1}(x_1)) = x_1
77.63/20.50	   POL(0_{4_1}(x_1)) = x_1
77.63/20.50	   POL(0_{5_1}(x_1)) = x_1
77.63/20.50	   POL(1_{0_1}(x_1)) = x_1
77.63/20.50	   POL(1_{1_1}(x_1)) = x_1
77.63/20.50	   POL(1_{2_1}(x_1)) = x_1
77.63/20.50	   POL(1_{3_1}(x_1)) = x_1
77.63/20.50	   POL(1_{4_1}(x_1)) = x_1
77.63/20.50	   POL(1_{5_1}(x_1)) = x_1
77.63/20.50	   POL(2_{0_1}(x_1)) = x_1
77.63/20.50	   POL(2_{1_1}(x_1)) = x_1
77.63/20.50	   POL(2_{2_1}(x_1)) = x_1
77.63/20.50	   POL(2_{3_1}(x_1)) = x_1
77.63/20.50	   POL(2_{4_1}(x_1)) = x_1
77.63/20.50	   POL(2_{5_1}(x_1)) = x_1
77.63/20.50	   POL(3_{0_1}(x_1)) = x_1
77.63/20.50	   POL(3_{2_1}(x_1)) = x_1
77.63/20.50	   POL(3_{3_1}(x_1)) = x_1
77.63/20.50	   POL(3_{4_1}(x_1)) = x_1
77.63/20.50	   POL(3_{5_1}(x_1)) = x_1
77.63/20.50	   POL(4_{0_1}(x_1)) = 1 + x_1
77.63/20.50	   POL(4_{1_1}(x_1)) = x_1
77.63/20.50	   POL(4_{2_1}(x_1)) = x_1
77.63/20.50	   POL(4_{3_1}(x_1)) = x_1
77.63/20.50	   POL(4_{4_1}(x_1)) = x_1
77.63/20.50	   POL(5_{0_1}(x_1)) = x_1
77.63/20.50	   POL(5_{1_1}(x_1)) = x_1
77.63/20.50	   POL(5_{2_1}(x_1)) = x_1
77.63/20.50	   POL(5_{3_1}(x_1)) = x_1
77.63/20.50	   POL(5_{4_1}(x_1)) = x_1
77.63/20.50	   POL(5_{5_1}(x_1)) = x_1
77.63/20.50	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
77.63/20.50	
77.63/20.50	   4_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1))))) -> 4_{4_1}(4_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1))))) -> 4_{4_1}(4_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1))))) -> 4_{4_1}(4_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1))))) -> 4_{4_1}(4_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1))))) -> 4_{4_1}(4_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1))))) -> 4_{4_1}(4_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	
77.63/20.50	
77.63/20.50	
77.63/20.50	
77.63/20.50	----------------------------------------
77.63/20.50	
77.63/20.50	(12)
77.63/20.50	Obligation:
77.63/20.50	Q restricted rewrite system:
77.63/20.50	The TRS R consists of the following rules:
77.63/20.50	
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 1_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(x1)))))))
77.63/20.50	   1_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))) -> 1_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   1_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))) -> 1_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))) -> 1_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   1_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))) -> 1_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   1_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))) -> 1_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   1_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))) -> 1_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   4_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   4_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   4_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   4_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   4_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 0_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 0_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 0_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 3_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 3_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 3_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 5_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 5_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 5_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	
77.63/20.50	Q is empty.
77.63/20.50	
77.63/20.50	----------------------------------------
77.63/20.50	
77.63/20.50	(13) QTRSRRRProof (EQUIVALENT)
77.63/20.50	Used ordering:
77.63/20.50	Polynomial interpretation [POLO]:
77.63/20.50	
77.63/20.50	   POL(0_{0_1}(x_1)) = x_1
77.63/20.50	   POL(0_{1_1}(x_1)) = x_1
77.63/20.50	   POL(0_{2_1}(x_1)) = x_1
77.63/20.50	   POL(0_{3_1}(x_1)) = x_1
77.63/20.50	   POL(0_{4_1}(x_1)) = x_1
77.63/20.50	   POL(0_{5_1}(x_1)) = x_1
77.63/20.50	   POL(1_{0_1}(x_1)) = x_1
77.63/20.50	   POL(1_{1_1}(x_1)) = x_1
77.63/20.50	   POL(1_{2_1}(x_1)) = x_1
77.63/20.50	   POL(1_{3_1}(x_1)) = x_1
77.63/20.50	   POL(1_{4_1}(x_1)) = 1 + x_1
77.63/20.50	   POL(1_{5_1}(x_1)) = x_1
77.63/20.50	   POL(2_{0_1}(x_1)) = x_1
77.63/20.50	   POL(2_{1_1}(x_1)) = x_1
77.63/20.50	   POL(2_{2_1}(x_1)) = x_1
77.63/20.50	   POL(2_{3_1}(x_1)) = x_1
77.63/20.50	   POL(2_{4_1}(x_1)) = x_1
77.63/20.50	   POL(2_{5_1}(x_1)) = x_1
77.63/20.50	   POL(3_{0_1}(x_1)) = x_1
77.63/20.50	   POL(3_{2_1}(x_1)) = x_1
77.63/20.50	   POL(3_{3_1}(x_1)) = x_1
77.63/20.50	   POL(3_{4_1}(x_1)) = x_1
77.63/20.50	   POL(3_{5_1}(x_1)) = x_1
77.63/20.50	   POL(4_{1_1}(x_1)) = x_1
77.63/20.50	   POL(4_{2_1}(x_1)) = x_1
77.63/20.50	   POL(4_{3_1}(x_1)) = x_1
77.63/20.50	   POL(4_{4_1}(x_1)) = x_1
77.63/20.50	   POL(5_{0_1}(x_1)) = x_1
77.63/20.50	   POL(5_{1_1}(x_1)) = x_1
77.63/20.50	   POL(5_{2_1}(x_1)) = x_1
77.63/20.50	   POL(5_{3_1}(x_1)) = x_1
77.63/20.50	   POL(5_{4_1}(x_1)) = x_1
77.63/20.50	   POL(5_{5_1}(x_1)) = x_1
77.63/20.50	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
77.63/20.50	
77.63/20.50	   4_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   4_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 4_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   1_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))) -> 1_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   1_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))) -> 1_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))) -> 1_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   1_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))) -> 1_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   1_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))) -> 1_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   1_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))) -> 1_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	
77.63/20.50	
77.63/20.50	
77.63/20.50	
77.63/20.50	----------------------------------------
77.63/20.50	
77.63/20.50	(14)
77.63/20.50	Obligation:
77.63/20.50	Q restricted rewrite system:
77.63/20.50	The TRS R consists of the following rules:
77.63/20.50	
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 1_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(x1)))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   4_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   4_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   4_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   4_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   4_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 0_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 0_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 0_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 3_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 3_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 3_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 5_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 5_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 5_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	
77.63/20.50	Q is empty.
77.63/20.50	
77.63/20.50	----------------------------------------
77.63/20.50	
77.63/20.50	(15) QTRSRRRProof (EQUIVALENT)
77.63/20.50	Used ordering:
77.63/20.50	Polynomial interpretation [POLO]:
77.63/20.50	
77.63/20.50	   POL(0_{0_1}(x_1)) = x_1
77.63/20.50	   POL(0_{1_1}(x_1)) = x_1
77.63/20.50	   POL(0_{2_1}(x_1)) = x_1
77.63/20.50	   POL(0_{3_1}(x_1)) = x_1
77.63/20.50	   POL(0_{4_1}(x_1)) = x_1
77.63/20.50	   POL(0_{5_1}(x_1)) = x_1
77.63/20.50	   POL(1_{0_1}(x_1)) = x_1
77.63/20.50	   POL(1_{1_1}(x_1)) = x_1
77.63/20.50	   POL(1_{2_1}(x_1)) = x_1
77.63/20.50	   POL(1_{3_1}(x_1)) = 1 + x_1
77.63/20.50	   POL(1_{5_1}(x_1)) = x_1
77.63/20.50	   POL(2_{0_1}(x_1)) = x_1
77.63/20.50	   POL(2_{1_1}(x_1)) = 1 + x_1
77.63/20.50	   POL(2_{2_1}(x_1)) = x_1
77.63/20.50	   POL(2_{3_1}(x_1)) = x_1
77.63/20.50	   POL(2_{4_1}(x_1)) = x_1
77.63/20.50	   POL(2_{5_1}(x_1)) = x_1
77.63/20.50	   POL(3_{0_1}(x_1)) = x_1
77.63/20.50	   POL(3_{2_1}(x_1)) = x_1
77.63/20.50	   POL(3_{3_1}(x_1)) = x_1
77.63/20.50	   POL(3_{4_1}(x_1)) = x_1
77.63/20.50	   POL(3_{5_1}(x_1)) = x_1
77.63/20.50	   POL(4_{1_1}(x_1)) = x_1
77.63/20.50	   POL(4_{2_1}(x_1)) = x_1
77.63/20.50	   POL(4_{3_1}(x_1)) = x_1
77.63/20.50	   POL(4_{4_1}(x_1)) = x_1
77.63/20.50	   POL(5_{0_1}(x_1)) = x_1
77.63/20.50	   POL(5_{1_1}(x_1)) = x_1
77.63/20.50	   POL(5_{2_1}(x_1)) = x_1
77.63/20.50	   POL(5_{3_1}(x_1)) = x_1
77.63/20.50	   POL(5_{4_1}(x_1)) = x_1
77.63/20.50	   POL(5_{5_1}(x_1)) = x_1
77.63/20.50	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
77.63/20.50	
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 2_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 5_{4_1}(4_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	
77.63/20.50	
77.63/20.50	
77.63/20.50	
77.63/20.50	----------------------------------------
77.63/20.50	
77.63/20.50	(16)
77.63/20.50	Obligation:
77.63/20.50	Q restricted rewrite system:
77.63/20.50	The TRS R consists of the following rules:
77.63/20.50	
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))
77.63/20.50	   1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 1_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(x1)))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   4_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   4_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   4_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   4_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   4_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 0_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 0_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 0_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 3_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 3_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 3_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 5_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 5_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 5_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	
77.63/20.50	Q is empty.
77.63/20.50	
77.63/20.50	----------------------------------------
77.63/20.50	
77.63/20.50	(17) QTRSRRRProof (EQUIVALENT)
77.63/20.50	Used ordering:
77.63/20.50	Polynomial interpretation [POLO]:
77.63/20.50	
77.63/20.50	   POL(0_{0_1}(x_1)) = x_1
77.63/20.50	   POL(0_{1_1}(x_1)) = x_1
77.63/20.50	   POL(0_{2_1}(x_1)) = x_1
77.63/20.50	   POL(0_{3_1}(x_1)) = x_1
77.63/20.50	   POL(0_{4_1}(x_1)) = x_1
77.63/20.50	   POL(0_{5_1}(x_1)) = x_1
77.63/20.50	   POL(1_{0_1}(x_1)) = x_1
77.63/20.50	   POL(1_{1_1}(x_1)) = x_1
77.63/20.50	   POL(1_{2_1}(x_1)) = x_1
77.63/20.50	   POL(1_{3_1}(x_1)) = x_1
77.63/20.50	   POL(1_{5_1}(x_1)) = x_1
77.63/20.50	   POL(2_{0_1}(x_1)) = x_1
77.63/20.50	   POL(2_{1_1}(x_1)) = x_1
77.63/20.50	   POL(2_{2_1}(x_1)) = x_1
77.63/20.50	   POL(2_{3_1}(x_1)) = x_1
77.63/20.50	   POL(2_{4_1}(x_1)) = x_1
77.63/20.50	   POL(2_{5_1}(x_1)) = x_1
77.63/20.50	   POL(3_{0_1}(x_1)) = x_1
77.63/20.50	   POL(3_{2_1}(x_1)) = x_1
77.63/20.50	   POL(3_{3_1}(x_1)) = x_1
77.63/20.50	   POL(3_{4_1}(x_1)) = x_1
77.63/20.50	   POL(3_{5_1}(x_1)) = x_1
77.63/20.50	   POL(4_{1_1}(x_1)) = x_1
77.63/20.50	   POL(4_{2_1}(x_1)) = x_1
77.63/20.50	   POL(4_{3_1}(x_1)) = x_1
77.63/20.50	   POL(4_{4_1}(x_1)) = 1 + x_1
77.63/20.50	   POL(5_{0_1}(x_1)) = x_1
77.63/20.50	   POL(5_{1_1}(x_1)) = x_1
77.63/20.50	   POL(5_{2_1}(x_1)) = x_1
77.63/20.50	   POL(5_{3_1}(x_1)) = x_1
77.63/20.50	   POL(5_{4_1}(x_1)) = x_1
77.63/20.50	   POL(5_{5_1}(x_1)) = x_1
77.63/20.50	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
77.63/20.50	
77.63/20.50	   4_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   4_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   4_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   4_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   4_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   4_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))) -> 4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	
77.63/20.50	
77.63/20.50	
77.63/20.50	
77.63/20.50	----------------------------------------
77.63/20.50	
77.63/20.50	(18)
77.63/20.50	Obligation:
77.63/20.50	Q restricted rewrite system:
77.63/20.50	The TRS R consists of the following rules:
77.63/20.50	
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))
77.63/20.50	   1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 1_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(x1)))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 0_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 0_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 0_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 3_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 3_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 3_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 5_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 5_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 5_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	
77.63/20.50	Q is empty.
77.63/20.50	
77.63/20.50	----------------------------------------
77.63/20.50	
77.63/20.50	(19) QTRSRRRProof (EQUIVALENT)
77.63/20.50	Used ordering:
77.63/20.50	Polynomial interpretation [POLO]:
77.63/20.50	
77.63/20.50	   POL(0_{0_1}(x_1)) = x_1
77.63/20.50	   POL(0_{1_1}(x_1)) = x_1
77.63/20.50	   POL(0_{2_1}(x_1)) = x_1
77.63/20.50	   POL(0_{3_1}(x_1)) = x_1
77.63/20.50	   POL(0_{4_1}(x_1)) = x_1
77.63/20.50	   POL(0_{5_1}(x_1)) = x_1
77.63/20.50	   POL(1_{0_1}(x_1)) = x_1
77.63/20.50	   POL(1_{1_1}(x_1)) = x_1
77.63/20.50	   POL(1_{2_1}(x_1)) = x_1
77.63/20.50	   POL(1_{3_1}(x_1)) = x_1
77.63/20.50	   POL(1_{5_1}(x_1)) = x_1
77.63/20.50	   POL(2_{0_1}(x_1)) = x_1
77.63/20.50	   POL(2_{1_1}(x_1)) = 1 + x_1
77.63/20.50	   POL(2_{2_1}(x_1)) = x_1
77.63/20.50	   POL(2_{3_1}(x_1)) = x_1
77.63/20.50	   POL(2_{4_1}(x_1)) = x_1
77.63/20.50	   POL(2_{5_1}(x_1)) = x_1
77.63/20.50	   POL(3_{0_1}(x_1)) = x_1
77.63/20.50	   POL(3_{2_1}(x_1)) = x_1
77.63/20.50	   POL(3_{3_1}(x_1)) = x_1
77.63/20.50	   POL(3_{4_1}(x_1)) = x_1
77.63/20.50	   POL(3_{5_1}(x_1)) = x_1
77.63/20.50	   POL(4_{1_1}(x_1)) = x_1
77.63/20.50	   POL(4_{2_1}(x_1)) = x_1
77.63/20.50	   POL(4_{3_1}(x_1)) = x_1
77.63/20.50	   POL(5_{0_1}(x_1)) = x_1
77.63/20.50	   POL(5_{1_1}(x_1)) = 1 + x_1
77.63/20.50	   POL(5_{2_1}(x_1)) = x_1
77.63/20.50	   POL(5_{3_1}(x_1)) = x_1
77.63/20.50	   POL(5_{4_1}(x_1)) = x_1
77.63/20.50	   POL(5_{5_1}(x_1)) = x_1
77.63/20.50	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
77.63/20.50	
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{4_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{5_1}(x1))))) -> 5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
77.63/20.50	
77.63/20.50	
77.63/20.50	
77.63/20.50	
77.63/20.50	----------------------------------------
77.63/20.50	
77.63/20.50	(20)
77.63/20.50	Obligation:
77.63/20.50	Q restricted rewrite system:
77.63/20.50	The TRS R consists of the following rules:
77.63/20.50	
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))
77.63/20.50	   1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 1_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(x1)))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 0_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 0_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 0_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 3_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 3_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 3_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 5_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 5_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 5_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	
77.63/20.50	Q is empty.
77.63/20.50	
77.63/20.50	----------------------------------------
77.63/20.50	
77.63/20.50	(21) QTRSRRRProof (EQUIVALENT)
77.63/20.50	Used ordering:
77.63/20.50	Polynomial interpretation [POLO]:
77.63/20.50	
77.63/20.50	   POL(0_{0_1}(x_1)) = 2 + x_1
77.63/20.50	   POL(0_{1_1}(x_1)) = x_1
77.63/20.50	   POL(0_{2_1}(x_1)) = x_1
77.63/20.50	   POL(0_{3_1}(x_1)) = x_1
77.63/20.50	   POL(0_{4_1}(x_1)) = x_1
77.63/20.50	   POL(0_{5_1}(x_1)) = 3 + x_1
77.63/20.50	   POL(1_{0_1}(x_1)) = 2 + x_1
77.63/20.50	   POL(1_{1_1}(x_1)) = x_1
77.63/20.50	   POL(1_{2_1}(x_1)) = x_1
77.63/20.50	   POL(1_{3_1}(x_1)) = x_1
77.63/20.50	   POL(1_{5_1}(x_1)) = x_1
77.63/20.50	   POL(2_{0_1}(x_1)) = 2 + x_1
77.63/20.50	   POL(2_{1_1}(x_1)) = x_1
77.63/20.50	   POL(2_{2_1}(x_1)) = x_1
77.63/20.50	   POL(2_{3_1}(x_1)) = x_1
77.63/20.50	   POL(2_{4_1}(x_1)) = 1 + x_1
77.63/20.50	   POL(2_{5_1}(x_1)) = x_1
77.63/20.50	   POL(3_{0_1}(x_1)) = 3 + x_1
77.63/20.50	   POL(3_{2_1}(x_1)) = 1 + x_1
77.63/20.50	   POL(3_{3_1}(x_1)) = x_1
77.63/20.50	   POL(3_{4_1}(x_1)) = x_1
77.63/20.50	   POL(3_{5_1}(x_1)) = 4 + x_1
77.63/20.50	   POL(4_{1_1}(x_1)) = x_1
77.63/20.50	   POL(4_{2_1}(x_1)) = x_1
77.63/20.50	   POL(4_{3_1}(x_1)) = x_1
77.63/20.50	   POL(5_{0_1}(x_1)) = x_1
77.63/20.50	   POL(5_{1_1}(x_1)) = x_1
77.63/20.50	   POL(5_{2_1}(x_1)) = x_1
77.63/20.50	   POL(5_{3_1}(x_1)) = x_1
77.63/20.50	   POL(5_{4_1}(x_1)) = 1 + x_1
77.63/20.50	   POL(5_{5_1}(x_1)) = x_1
77.63/20.50	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
77.63/20.50	
77.63/20.50	   1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 1_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(x1)))))))
77.63/20.50	   2_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{2_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 5_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 5_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 5_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 2_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1)))))) -> 5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1)))))) -> 5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1)))))) -> 5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
77.63/20.50	
77.63/20.50	
77.63/20.50	
77.63/20.50	
77.63/20.50	----------------------------------------
77.63/20.50	
77.63/20.50	(22)
77.63/20.50	Obligation:
77.63/20.50	Q restricted rewrite system:
77.63/20.50	The TRS R consists of the following rules:
77.63/20.50	
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 0_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 0_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 0_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 3_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 3_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 3_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.50	
77.63/20.50	Q is empty.
77.63/20.50	
77.63/20.50	----------------------------------------
77.63/20.50	
77.63/20.50	(23) QTRSRRRProof (EQUIVALENT)
77.63/20.50	Used ordering:
77.63/20.50	Polynomial interpretation [POLO]:
77.63/20.50	
77.63/20.50	   POL(0_{0_1}(x_1)) = 1 + x_1
77.63/20.50	   POL(0_{1_1}(x_1)) = x_1
77.63/20.50	   POL(0_{2_1}(x_1)) = 1 + x_1
77.63/20.50	   POL(0_{3_1}(x_1)) = x_1
77.63/20.50	   POL(0_{4_1}(x_1)) = x_1
77.63/20.50	   POL(0_{5_1}(x_1)) = 1 + x_1
77.63/20.50	   POL(1_{0_1}(x_1)) = x_1
77.63/20.50	   POL(1_{2_1}(x_1)) = x_1
77.63/20.50	   POL(1_{3_1}(x_1)) = x_1
77.63/20.50	   POL(1_{5_1}(x_1)) = x_1
77.63/20.50	   POL(2_{0_1}(x_1)) = x_1
77.63/20.50	   POL(2_{1_1}(x_1)) = x_1
77.63/20.50	   POL(2_{2_1}(x_1)) = x_1
77.63/20.50	   POL(2_{3_1}(x_1)) = x_1
77.63/20.50	   POL(2_{4_1}(x_1)) = x_1
77.63/20.50	   POL(2_{5_1}(x_1)) = x_1
77.63/20.50	   POL(3_{0_1}(x_1)) = x_1
77.63/20.50	   POL(3_{2_1}(x_1)) = x_1
77.63/20.50	   POL(3_{3_1}(x_1)) = x_1
77.63/20.50	   POL(3_{4_1}(x_1)) = x_1
77.63/20.50	   POL(3_{5_1}(x_1)) = x_1
77.63/20.50	   POL(4_{1_1}(x_1)) = x_1
77.63/20.50	   POL(4_{2_1}(x_1)) = x_1
77.63/20.50	   POL(4_{3_1}(x_1)) = x_1
77.63/20.50	   POL(5_{0_1}(x_1)) = x_1
77.63/20.50	   POL(5_{1_1}(x_1)) = x_1
77.63/20.50	   POL(5_{2_1}(x_1)) = x_1
77.63/20.50	   POL(5_{3_1}(x_1)) = x_1
77.63/20.50	   POL(5_{4_1}(x_1)) = x_1
77.63/20.50	   POL(5_{5_1}(x_1)) = x_1
77.63/20.50	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
77.63/20.50	
77.63/20.50	   1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.50	   1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 0_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 0_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.50	   0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 0_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 3_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 3_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
77.63/20.50	   3_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 3_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
77.63/20.50	
77.63/20.50	
77.63/20.50	
77.63/20.50	
77.63/20.50	----------------------------------------
77.63/20.50	
77.63/20.50	(24)
77.63/20.50	Obligation:
77.63/20.50	Q restricted rewrite system:
77.63/20.50	The TRS R consists of the following rules:
77.63/20.50	
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	
77.63/20.50	Q is empty.
77.63/20.50	
77.63/20.50	----------------------------------------
77.63/20.50	
77.63/20.50	(25) QTRSRRRProof (EQUIVALENT)
77.63/20.50	Used ordering:
77.63/20.50	Polynomial interpretation [POLO]:
77.63/20.50	
77.63/20.50	   POL(0_{0_1}(x_1)) = x_1
77.63/20.50	   POL(0_{1_1}(x_1)) = x_1
77.63/20.50	   POL(0_{2_1}(x_1)) = x_1
77.63/20.50	   POL(0_{3_1}(x_1)) = x_1
77.63/20.50	   POL(0_{4_1}(x_1)) = x_1
77.63/20.50	   POL(0_{5_1}(x_1)) = x_1
77.63/20.50	   POL(1_{0_1}(x_1)) = x_1
77.63/20.50	   POL(1_{2_1}(x_1)) = x_1
77.63/20.50	   POL(1_{3_1}(x_1)) = x_1
77.63/20.50	   POL(1_{5_1}(x_1)) = x_1
77.63/20.50	   POL(2_{0_1}(x_1)) = x_1
77.63/20.50	   POL(2_{1_1}(x_1)) = x_1
77.63/20.50	   POL(2_{2_1}(x_1)) = x_1
77.63/20.50	   POL(2_{3_1}(x_1)) = x_1
77.63/20.50	   POL(2_{4_1}(x_1)) = x_1
77.63/20.50	   POL(2_{5_1}(x_1)) = x_1
77.63/20.50	   POL(3_{0_1}(x_1)) = x_1
77.63/20.50	   POL(3_{2_1}(x_1)) = x_1
77.63/20.50	   POL(3_{3_1}(x_1)) = x_1
77.63/20.50	   POL(3_{4_1}(x_1)) = x_1
77.63/20.50	   POL(4_{1_1}(x_1)) = x_1
77.63/20.50	   POL(4_{2_1}(x_1)) = x_1
77.63/20.50	   POL(4_{3_1}(x_1)) = x_1
77.63/20.50	   POL(5_{0_1}(x_1)) = x_1
77.63/20.50	   POL(5_{1_1}(x_1)) = 1 + x_1
77.63/20.50	   POL(5_{2_1}(x_1)) = x_1
77.63/20.50	   POL(5_{3_1}(x_1)) = x_1
77.63/20.50	   POL(5_{4_1}(x_1)) = x_1
77.63/20.50	   POL(5_{5_1}(x_1)) = x_1
77.63/20.50	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
77.63/20.50	
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(x1))))))
77.63/20.50	
77.63/20.50	
77.63/20.50	
77.63/20.50	
77.63/20.50	----------------------------------------
77.63/20.50	
77.63/20.50	(26)
77.63/20.50	Obligation:
77.63/20.50	Q restricted rewrite system:
77.63/20.50	The TRS R consists of the following rules:
77.63/20.50	
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	
77.63/20.50	Q is empty.
77.63/20.50	
77.63/20.50	----------------------------------------
77.63/20.50	
77.63/20.50	(27) QTRSRRRProof (EQUIVALENT)
77.63/20.50	Used ordering:
77.63/20.50	Polynomial interpretation [POLO]:
77.63/20.50	
77.63/20.50	   POL(0_{0_1}(x_1)) = x_1
77.63/20.50	   POL(0_{1_1}(x_1)) = x_1
77.63/20.50	   POL(0_{2_1}(x_1)) = x_1
77.63/20.50	   POL(0_{3_1}(x_1)) = x_1
77.63/20.50	   POL(0_{4_1}(x_1)) = x_1
77.63/20.50	   POL(0_{5_1}(x_1)) = x_1
77.63/20.50	   POL(1_{0_1}(x_1)) = 1 + x_1
77.63/20.50	   POL(1_{2_1}(x_1)) = x_1
77.63/20.50	   POL(2_{0_1}(x_1)) = x_1
77.63/20.50	   POL(2_{1_1}(x_1)) = x_1
77.63/20.50	   POL(2_{2_1}(x_1)) = x_1
77.63/20.50	   POL(2_{4_1}(x_1)) = x_1
77.63/20.50	   POL(3_{0_1}(x_1)) = x_1
77.63/20.50	   POL(3_{2_1}(x_1)) = x_1
77.63/20.50	   POL(3_{3_1}(x_1)) = x_1
77.63/20.50	   POL(3_{4_1}(x_1)) = x_1
77.63/20.50	   POL(4_{1_1}(x_1)) = x_1
77.63/20.50	   POL(4_{2_1}(x_1)) = x_1
77.63/20.50	   POL(4_{3_1}(x_1)) = x_1
77.63/20.50	   POL(5_{0_1}(x_1)) = x_1
77.63/20.50	   POL(5_{1_1}(x_1)) = x_1
77.63/20.50	   POL(5_{2_1}(x_1)) = x_1
77.63/20.50	   POL(5_{3_1}(x_1)) = x_1
77.63/20.50	   POL(5_{4_1}(x_1)) = x_1
77.63/20.50	   POL(5_{5_1}(x_1)) = x_1
77.63/20.50	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
77.63/20.50	
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{0_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{3_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(5_{5_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1)))))
77.63/20.50	   2_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1)))))
77.63/20.50	
77.63/20.50	
77.63/20.50	
77.63/20.50	
77.63/20.50	----------------------------------------
77.63/20.50	
77.63/20.50	(28)
77.63/20.50	Obligation:
77.63/20.50	Q restricted rewrite system:
77.63/20.50	The TRS R consists of the following rules:
77.63/20.50	
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	
77.63/20.50	Q is empty.
77.63/20.50	
77.63/20.50	----------------------------------------
77.63/20.50	
77.63/20.50	(29) QTRSRRRProof (EQUIVALENT)
77.63/20.50	Used ordering:
77.63/20.50	Polynomial interpretation [POLO]:
77.63/20.50	
77.63/20.50	   POL(0_{0_1}(x_1)) = x_1
77.63/20.50	   POL(0_{1_1}(x_1)) = x_1
77.63/20.50	   POL(0_{2_1}(x_1)) = x_1
77.63/20.50	   POL(0_{3_1}(x_1)) = x_1
77.63/20.50	   POL(0_{4_1}(x_1)) = x_1
77.63/20.50	   POL(0_{5_1}(x_1)) = x_1
77.63/20.50	   POL(1_{2_1}(x_1)) = x_1
77.63/20.50	   POL(2_{0_1}(x_1)) = x_1
77.63/20.50	   POL(2_{2_1}(x_1)) = x_1
77.63/20.50	   POL(2_{4_1}(x_1)) = x_1
77.63/20.50	   POL(3_{0_1}(x_1)) = x_1
77.63/20.50	   POL(3_{2_1}(x_1)) = x_1
77.63/20.50	   POL(3_{3_1}(x_1)) = x_1
77.63/20.50	   POL(3_{4_1}(x_1)) = x_1
77.63/20.50	   POL(4_{1_1}(x_1)) = x_1
77.63/20.50	   POL(4_{2_1}(x_1)) = 1 + x_1
77.63/20.50	   POL(4_{3_1}(x_1)) = x_1
77.63/20.50	   POL(5_{2_1}(x_1)) = x_1
77.63/20.50	   POL(5_{4_1}(x_1)) = x_1
77.63/20.50	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
77.63/20.50	
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   3_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1)))) -> 3_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	
77.63/20.50	
77.63/20.50	
77.63/20.50	
77.63/20.50	----------------------------------------
77.63/20.50	
77.63/20.50	(30)
77.63/20.50	Obligation:
77.63/20.50	Q restricted rewrite system:
77.63/20.50	The TRS R consists of the following rules:
77.63/20.50	
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	
77.63/20.50	Q is empty.
77.63/20.50	
77.63/20.50	----------------------------------------
77.63/20.50	
77.63/20.50	(31) QTRSRRRProof (EQUIVALENT)
77.63/20.50	Used ordering:
77.63/20.50	Polynomial interpretation [POLO]:
77.63/20.50	
77.63/20.50	   POL(0_{0_1}(x_1)) = x_1
77.63/20.50	   POL(0_{1_1}(x_1)) = x_1
77.63/20.50	   POL(0_{2_1}(x_1)) = x_1
77.63/20.50	   POL(0_{3_1}(x_1)) = x_1
77.63/20.50	   POL(0_{4_1}(x_1)) = x_1
77.63/20.50	   POL(0_{5_1}(x_1)) = x_1
77.63/20.50	   POL(2_{0_1}(x_1)) = x_1
77.63/20.50	   POL(2_{2_1}(x_1)) = x_1
77.63/20.50	   POL(2_{4_1}(x_1)) = x_1
77.63/20.50	   POL(3_{0_1}(x_1)) = 1 + x_1
77.63/20.50	   POL(3_{2_1}(x_1)) = x_1
77.63/20.50	   POL(4_{3_1}(x_1)) = x_1
77.63/20.50	   POL(5_{2_1}(x_1)) = x_1
77.63/20.50	   POL(5_{4_1}(x_1)) = 1 + x_1
77.63/20.50	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
77.63/20.50	
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   2_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 2_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	
77.63/20.50	
77.63/20.50	
77.63/20.50	
77.63/20.50	----------------------------------------
77.63/20.50	
77.63/20.50	(32)
77.63/20.50	Obligation:
77.63/20.50	Q restricted rewrite system:
77.63/20.50	The TRS R consists of the following rules:
77.63/20.50	
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	
77.63/20.50	Q is empty.
77.63/20.50	
77.63/20.50	----------------------------------------
77.63/20.50	
77.63/20.50	(33) QTRSRRRProof (EQUIVALENT)
77.63/20.50	Used ordering:
77.63/20.50	Polynomial interpretation [POLO]:
77.63/20.50	
77.63/20.50	   POL(0_{0_1}(x_1)) = x_1
77.63/20.50	   POL(0_{1_1}(x_1)) = x_1
77.63/20.50	   POL(0_{2_1}(x_1)) = x_1
77.63/20.50	   POL(0_{3_1}(x_1)) = x_1
77.63/20.50	   POL(0_{4_1}(x_1)) = x_1
77.63/20.50	   POL(0_{5_1}(x_1)) = x_1
77.63/20.50	   POL(2_{0_1}(x_1)) = x_1
77.63/20.50	   POL(2_{2_1}(x_1)) = x_1
77.63/20.50	   POL(2_{4_1}(x_1)) = 1 + x_1
77.63/20.50	   POL(3_{0_1}(x_1)) = x_1
77.63/20.50	   POL(3_{2_1}(x_1)) = x_1
77.63/20.50	   POL(4_{3_1}(x_1)) = x_1
77.63/20.50	   POL(5_{2_1}(x_1)) = x_1
77.63/20.50	   POL(5_{4_1}(x_1)) = x_1
77.63/20.50	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
77.63/20.50	
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{3_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(x1))))))
77.63/20.50	   5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 5_{4_1}(4_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{5_1}(x1))))))
77.63/20.50	
77.63/20.50	
77.63/20.50	
77.63/20.50	
77.63/20.50	----------------------------------------
77.63/20.50	
77.63/20.50	(34)
77.63/20.50	Obligation:
77.63/20.50	Q restricted rewrite system:
77.63/20.50	R is empty.
77.63/20.50	Q is empty.
77.63/20.50	
77.63/20.50	----------------------------------------
77.63/20.50	
77.63/20.50	(35) RisEmptyProof (EQUIVALENT)
77.63/20.50	The TRS R is empty. Hence, termination is trivially proven.
77.63/20.50	----------------------------------------
77.63/20.50	
77.63/20.50	(36)
77.63/20.50	YES
77.63/20.56	EOF